@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
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@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{ack-njh = "Nick Higham,
e-mail: \path|nick.higham@manchester.ac.uk|"}
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@String{j-J-SCI-COMPUT = "Journal of Scientific Computing"}
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Society"}
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@String{j-SCI-CHINA-MATH = "Science China. Mathematics"}
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Processing Society of Japan"}
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Mathematical Methods of Operations Research"}
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Operations Research"}
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"}
@String{pub-ACADEMIC = "Academic Press"}
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@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
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@String{ser-LNCS = "Lecture Notes in Computer Science"}
@MastersThesis{Borwein:1972:MON,
author = "Jonathan Michael Borwein",
title = "Monotone Operators and Non-Linear Functional
Analysis",
type = "{M.Sc.} thesis",
school = "Oxford University",
address = "Oxford, UK",
year = "1972",
bibdate = "Thu Aug 11 17:24:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Not found in Proquest or in Oxford Solo catalog.",
}
@PhdThesis{Borwein:1974:ORP,
author = "Jonathan Michael Borwein",
title = "Optimization with respect to partial orderings",
type = "{D.Phil.} thesis",
school = "Oxford University",
address = "Oxford, UK",
pages = "200",
year = "1974",
bibdate = "Wed Aug 10 10:59:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://search.proquest.com/pqdtglobal/docview/1767375969/",
acknowledgement = ack-nhfb,
advisor = "M. A. H. (Michael Alan Howarth) Dempster",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Found in Proquest, but not available for viewing.
Oxford Solo catalog identifies physical location as
Radcliffe Science Library.",
}
@Article{Borwein:1976:FPD,
author = "J. M. Borwein",
title = "Fractional programming without differentiability",
journal = j-MATH-PROG,
volume = "11",
number = "1",
pages = "283--290",
year = "1976",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01580396",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C10 (65K05)",
MRnumber = "0449664",
MRreviewer = "Siegfried Schaible",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1671/;
http://link.springer.com/article/10.1007/BF01580396",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxnumber = "3",
}
@Article{Borwein:1976:NFJ,
author = "J. M. Borwein",
title = "A note on {Fritz John} sufficiency",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "15",
number = "2",
pages = "293--296",
month = oct,
year = "1976",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S0004972700022656",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "90C30",
MRnumber = "0426851",
MRreviewer = "R. N. Kaul",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1515/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1976:TCC,
author = "J. Borwein and R. O'Brien",
title = "Tangent cones and convexity",
journal = j-CAN-MATH-BULL,
volume = "19",
number = "3",
pages = "257--261",
year = "1976",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1976-040-x",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "46A99 (52A05)",
MRnumber = "0454586",
MRreviewer = "A. Gopfert",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1517/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1976:VS,
author = "J. Borwein and M. Edelstein and R. O'Brien",
title = "Visibility and Starshape",
journal = j-J-LOND-MATH-SOC-2,
volume = "S2-14",
number = "2",
pages = "313--318",
month = nov,
year = "1976",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s2-14.2.313",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "46B05",
MRnumber = "0428010",
MRreviewer = "Bor-Luh Lin",
bibdate = "Fri Aug 12 16:38:27 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1670/;
http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+html",
acknowledgement = ack-nhfb,
ajournal = "J. Lond. Math. Soc. (2)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the London Mathematical Society (series
2)",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1977:MCO,
author = "J. Borwein",
title = "Multivalued convexity and optimization: a unified
approach to inequality and equality constraints",
journal = j-MATH-PROG,
volume = "13",
number = "2",
pages = "183--199",
year = "1977",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01584336",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "52A40 (90C25)",
MRnumber = "0451166",
MRreviewer = "J. Stoer",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1669/;
http://link.springer.com/article/10.1007/BF01584336",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1977:PEH,
author = "J. Borwein",
title = "A proof of the equivalence of {Helly}'s and
{Krasnoselski}'s theorems",
journal = j-CAN-MATH-BULL,
volume = "20",
number = "1",
pages = "35--37",
month = mar,
year = "1977",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1977-007-4",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "52A35",
MRnumber = "0478014",
MRreviewer = "John D. Baildon",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v20/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
URL = "http://docserver.carma.newcastle.edu.au/1518/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1977:PEP,
author = "J. Borwein",
title = "Proper Efficient Points for Maximizations with Respect
to Cones",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "15",
number = "1",
pages = "57--63",
month = jan,
year = "1977",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/0315004",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "90C30 (65K05 49B99)",
MRnumber = "0434441",
MRreviewer = "M. Rossler",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/15/1;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
URL = "http://docserver.carma.newcastle.edu.au/1667/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
journalabr = "SIAM J Control Optim",
onlinedate = "January 1977",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1977:SRV,
author = "J. Borwein and M. Edelstein and R. O'Brien",
title = "Some remarks on visibility and starshape",
journal = j-J-LOND-MATH-SOC-2,
volume = "S2-15",
number = "2",
pages = "342--344",
month = apr,
year = "1977",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s2-15.2.342",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "46A99",
MRnumber = "0442642",
MRreviewer = "Bor-Luh Lin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1666/;
http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+html",
acknowledgement = ack-nhfb,
ajournal = "J. Lond. Math. Soc. (2)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the London Mathematical Society (series
2)",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:1977:WLP,
author = "J. M. Borwein",
title = "The {William Lowell Putnam} Competition. {A} Brief
History",
howpublished = "Unpublished notes.",
pages = "9",
day = "26",
month = jan,
year = "1977",
bibdate = "Mon Nov 07 06:59:36 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "In December 1921 William Lowell Putnam, a magna cum
laude Mathematics graduate of the Harvard class of
1882, wrote in the Harvard Graduate Magazine on ``A
Suggestion For Increasing The Undergraduate Interest In
Studies''. He noted that all prizes for scholarship
were individual and suggested that ``a Harvard man
prefers for example to be a member of a tennis team to
play against Yale \ldots{} rather than to be champion
of Harvard'' and that the same principle of team work
and team competition ``which has inspired young men to
undertake and undergo so much for the sake of athletic
victories might accomplish some result in academic
fields''. These sentiments, and others which seem even
more dated, would probably have had no effect were it
not that Putnam's wife was a Lowell, was extremely rich
and was the sister of then President Abbott Lowell of
Harvard. Putnam's mother was also a Lowell while his
father was a Unitarian with all the right connections
and memberships who founded the English Speaking Union
among other organizations and wrote prodigiously on
many learned topics",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1978:CCC,
author = "J. M. Borwein and R. C. O'Brien",
title = "Cancellation characterizes convexity",
journal = "Nanta Mathematica",
volume = "11",
number = "1",
pages = "100--102",
year = "1978",
CODEN = "NAMAB2",
ISSN = "0077-2739",
MRclass = "52A20",
MRnumber = "510842",
MRreviewer = "John D. Baildon",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1659/",
acknowledgement = ack-nhfb,
ajournal = "Nanta Math.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nanyang University. Nanta Mathematica",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1978:SEF,
author = "J. M. Borwein",
title = "On strongly exposing functionals",
journal = j-PROC-AM-MATH-SOC,
volume = "69",
number = "1",
pages = "46--48",
year = "1978",
CODEN = "PAMYAR",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B99 (52A05)",
MRnumber = "0493272",
MRreviewer = "Ka Sing Lau",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1665/;
https://www.jstor.org/stable/2043185",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1978:TCS,
author = "J. M. Borwein",
title = "Tangent cones, starshape and convexity",
journal = j-INT-J-MATH-MATH-SCI,
volume = "1",
number = "4",
pages = "459--477",
year = "1978",
DOI = "https://doi.org/10.1155/S0161171278000460",
ISSN = "0161-1712 (print), 1687-0425 (electronic)",
ISSN-L = "0161-1712",
MRclass = "52A30 (90C30)",
MRnumber = "517949",
MRreviewer = "Gerald Beer",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1663/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "International Journal of Mathematics and Mathematical
Sciences",
journal-URL = "https://www.hindawi.com/journals/ijmms/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1978:WTC,
author = "J. Borwein",
title = "Weak Tangent Cones and Optimization in a {Banach}
Space",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "16",
number = "3",
pages = "512--522",
month = may,
year = "1978",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/0316034",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "65K05 (90C99)",
MRnumber = "0478612",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/16/3;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
URL = "http://docserver.carma.newcastle.edu.au/1664/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
journalabr = "SIAM J Control Optim",
onlinedate = "May 1978",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1979:CD,
author = "J. M. Borwein",
title = "On convex decompositions",
year = "1979",
bibdate = "Fri Aug 12 16:51:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Accepted for publication in \booktitle{Nanta
Mathematica}, but the journal ceased publication in
1979 before the paper appeared.",
URL = "http://docserver.carma.newcastle.edu.au/1672/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1979:COA,
author = "J. M. Borwein and H. Wolkowicz",
title = "Characterizations of Optimality for the Abstract
Convex Program",
type = "Research Report",
number = "19",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "54",
month = jul,
year = "1979",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
abstract = "This paper presents characterizations of optimality
for the convex program $$ (p) \mu = \inf \{ p(x) \colon
g(x) \in - S, x \in \Omega \} $$ when $S$ is an
arbitrary convex cone in a finite dimensional space, $
\Omega $ is a convex set and $p$ and $g$ are
respectively convex and S-convex(on $ \Omega $). These
characterizations, which include a Lagrange multiplier
and do not presume any a priori constraint
qualification, subsume those presently in the
literature.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "abstract programming; cone of positive semi-definite
matrices; convexity; duality principles; facial
reduction; Lagrange multipliers; Slater's condition;
subgradients; symmetric matrices",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1979:COC,
author = "J. M. Borwein and H. Wolkowicz",
title = "Characterizations of optimality without constraint
qualification for the abstract convex program",
type = "Research Report",
number = "14",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "59",
month = jun,
year = "1979",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1979:DTS,
author = "J. M. Borwein",
title = "Direct theorems in semi-infinite convex programming",
type = "Report",
number = "11",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "33",
month = apr,
year = "1979",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "Recently Ben-Tal, Ben-Israel and Rossinger [1] have
proven a ``direct theorem'' for the existence of finite
subprograms for infinitely constrained programming
problems with finitely many variables. They did this
via a Helly-type theorem for open convex sets due to
Klee [10], [7]. The proof of Klee's theorem [10] is
somewhat difficult to follow and, in addition, requires
the use of the notion of an ``open-closed'' family of
sets. One of the purposes of this paper is to provide
an entirely self-contained proof of an extension of the
result in [1].",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1979:LLC,
author = "J. M. Borwein",
title = "The Limiting Lagrangean as a Consequence of {Helly's
Theorem}",
type = "Report",
number = "7",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
month = mar,
year = "1979",
bibdate = "Tue Nov 08 15:34:18 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "The perturbational Lagrangean equation established by
Jeroslow in convex semi-infinite programming is derived
from Helly's Theorem and some prior results on one
dimensional perturbations of convex programs.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Affine Minorants; convex semi-infinite programming;
Helly's Theorem; limiting Lagrangeans; Recession
Directions",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1979:MAF,
author = "J. M. Borwein",
title = "A multivalued approach to the {Farkas} lemma",
journal = j-MATH-PROG-STUDY,
volume = "10",
pages = "42--47",
year = "1979",
CODEN = "MPSTDF",
DOI = "https://doi.org/10.1007/BFb0120842",
ISSN = "0303-3929",
ISSN-L = "0303-3929",
MRclass = "90C99",
MRnumber = "527056",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Point-to-set maps and mathematical programming.",
URL = "http://docserver.carma.newcastle.edu.au/1660/;
http://link.springer.com/chapter/10.1007/BFb0120842",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming Study",
journal-URL = "https://link.springer.com/bookseries/8439",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1979:MFP,
author = "J. M. Borwein",
booktitle = "{Third Symposium on Operations Research (Univ.
Mannheim, Mannheim, 1978), Section I}",
title = "The minimum of a family of programs",
volume = "31",
publisher = "Hain",
pages = "99--111",
year = "1979",
MRclass = "90C25",
MRnumber = "541191",
MRreviewer = "Jacques Dubois",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Operations Res. Verfahren",
acknowledgement = ack-nhfb,
addresss = "K{\"o}nigstein im Taunus, West Germany",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1979:MLP,
author = "Jonathan M. Borwein",
title = "Monochrome lines in the plane",
journal = j-MATH-MAG,
volume = "52",
number = "1",
pages = "41--45",
year = "1979",
CODEN = "MAMGA8",
DOI = "https://doi.org/10.2307/2689976",
ISSN = "0025-570X (print), 1930-0980 (electronic)",
ISSN-L = "0025-570X",
MRclass = "54B20 (57N05)",
MRnumber = "524202",
MRreviewer = "H. W. Lambert",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1662/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1979:TVS,
author = "J. M. Borwein",
title = "Two variants of {Sylvester}'s theorem",
journal = "Atlantic Mathematics Bulletin",
volume = "3",
number = "??",
pages = "11--13",
month = "????",
year = "1979",
DOI = "",
ISSN = "0705-9078",
ISSN-L = "0705-9078",
bibdate = "Fri Aug 12 16:08:43 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1658/",
acknowledgement = ack-nhfb,
ajournal = "Atlantic Math. Bull.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Atlantic Mathematics Bulletin",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1979:WLS,
author = "J. M. Borwein",
title = "Weak local supportability and applications to
approximation",
journal = j-PAC-J-MATH,
volume = "82",
number = "2",
pages = "323--338",
year = "1979",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "46B99 (41A25 49A27 58C20 90C30)",
MRnumber = "551692",
MRreviewer = "Ka Sing Lau",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102784876",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1980:GPE,
author = "J. M. Borwein",
title = "The geometry of {Pareto} efficiency over cones",
journal = j-OPTIMIZATION,
volume = "11",
number = "2",
pages = "235--248",
year = "1980",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331938008842650",
ISSN = "0323-3898",
ISSN-L = "0233-1934",
MRclass = "90C31 (58E17 90C25 90C30)",
MRnumber = "640689",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/02331938008842650",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematische Operationsforschung und Statistik Series
Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
onlinedate = "5 July 2007",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1980:HMC,
author = "J. Borwein and L. Keener",
title = "The {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev}
centres",
journal = j-J-APPROX-THEORY,
volume = "28",
number = "4",
pages = "366--376",
year = "1980",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(80)90071-4",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A65 (46B20)",
MRnumber = "589992",
MRreviewer = "S. Cobza{\c{s}}",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1652/;
http://www.sciencedirect.com/science/article/pii/0021904580900714",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1980:LM,
author = "J. M. Borwein",
title = "Lexicographic multipliers",
journal = j-J-MATH-ANAL-APPL,
volume = "78",
number = "1",
pages = "309--327",
year = "1980",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(80)90228-0",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "90C25 (58C20)",
MRnumber = "595782",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1653/;
http://www.sciencedirect.com/science/article/pii/0022247X80902280",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1980:LMT,
author = "J. M. Borwein",
title = "A {Lagrange} Multiplier Theorem and a Sandwich Theorem
for Convex Relations",
type = "Research Report",
number = "80-1",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "26",
day = "15",
month = jan,
year = "1980",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We formulate and prove various separation principles
for convex relations taking values in an order complete
vector space. These principles subsume the standard
ones",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "convex relations; Fenchel's theorem; Lagrange
multipliers; order complete spaces; separation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1980:NPD,
author = "J. M. Borwein",
title = "A note on perfect duality and limiting {Lagrangeans}",
journal = j-MATH-PROG,
volume = "18",
number = "1",
pages = "330--337",
year = "1980",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01588327",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C25",
MRnumber = "571994",
MRreviewer = "N. N. Astaf{\cprime}ev",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1654/;
http://link.springer.com/article/10.1007/BF01588327",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxnumber = "3",
}
@Article{Borwein:1980:SDT,
author = "J. M. Borwein",
title = "A strong duality theorem for the minimum of a family
of convex programs",
journal = j-J-OPT-THEORY-APPL,
volume = "31",
number = "4",
pages = "453--472",
year = "1980",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00934472",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C25 (46G99 90C30)",
MRnumber = "600199",
MRreviewer = "Tadashi Nakamura",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1657/;
http://link.springer.com/article/10.1007/BF00934472",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Tijs:1980:SGC,
author = "S. H. Tijs and J. M. Borwein",
title = "Some Generalizations of {Carath{\'e}odory}'s Theorem
via Barycentres, with Application to Mathematical
Programming",
journal = j-CAN-MATH-BULL,
volume = "23",
number = "3",
pages = "339--346",
month = sep,
year = "1980",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1980-048-x",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "90C05 (46G99 58C20)",
MRnumber = "593393",
MRreviewer = "M. Brannigan",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v23/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
URL = "http://docserver.carma.newcastle.edu.au/1656/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1981:CCP,
author = "J. M. Borwein and H. Wolkowicz",
title = "Cone-convex programming, stability and affine
constraints",
crossref = "Schaible:1981:CCP",
pages = "379--397",
year = "1981",
bibdate = "Mon Mar 6 22:00:29 MST 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
note = "Invited paper.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxpages = "379--392",
xxtitle = "Cone-convex programming, stability and affine
constraint functions",
}
@Article{Borwein:1981:COA,
author = "Jon M. Borwein and Henry Wolkowicz",
title = "Characterization of optimality for the abstract convex
program with finite dimensional range",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "30",
number = "4",
pages = "390--411",
month = apr,
year = "1981",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/S1446788700017882",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
ISSN-L = "0263-6115",
MRclass = "90C48",
MRnumber = "621556 (83i:90156)",
MRreviewer = "R. L. Graves",
bibdate = "Wed Aug 31 15:25:43 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
URL = "http://docserver.carma.newcastle.edu.au/1649/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4896312",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society. Series
A",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
received = "21 March 1980",
}
@InCollection{Borwein:1981:CRO,
author = "J. M. Borwein",
booktitle = "Generalized Convexity in Optimization and Economics",
title = "Convex relations in optimization and analysis",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "335--377",
year = "1981",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Mon Aug 15 15:17:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1981:DTS,
author = "J. M. Borwein",
title = "Direct theorems in semi-infinite convex programming",
journal = j-MATH-PROG,
volume = "21",
number = "1",
pages = "301--318",
year = "1981",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01584251",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C25 (49D39 90C30)",
MRnumber = "632637",
MRreviewer = "{\c{S}}tefan {\c{T}}igan",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/BF01584251",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxnumber = "3",
}
@Article{Borwein:1981:FRC,
author = "Jon M. Borwein and Henry Wolkowicz",
title = "Facial reduction for a cone-convex programming
problem",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "30",
number = "3",
pages = "369--380",
month = feb,
year = "1981",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/S1446788700017250",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
ISSN-L = "0263-6115",
MRclass = "90C25; 90C48",
MRnumber = "83b:90121 (614086)",
MRreviewer = "B. T. Polyak",
bibdate = "Wed Aug 31 16:29:21 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
URL = "http://docserver.carma.newcastle.edu.au/1650/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184",
ZMnumber = "0464.90086",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society. Series
A",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
onlinedate = "28 July 1980",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
received = "21 March 1980",
}
@Article{Borwein:1981:LLC,
author = "J. M. Borwein",
title = "The limiting {Lagrangian} as a consequence of
{Helly}'s theorem",
journal = j-J-OPT-THEORY-APPL,
volume = "33",
number = "4",
pages = "497--513",
year = "1981",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00935755",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C25",
MRnumber = "616567",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1647/;
http://link.springer.com/article/10.1007/BF00935755",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1981:LMT,
author = "J. M. Borwein",
title = "A {Lagrange} multiplier theorem and a sandwich theorem
for convex relations",
journal = j-MATH-SCAND,
volume = "48",
number = "2",
pages = "189--204",
year = "1981",
CODEN = "MTSCAN",
ISSN = "0025-5521 (print), 1903-1807 (electronic)",
ISSN-L = "0025-5521",
MRclass = "49A50 (26A51 46A22 90C25); 49J45 (Optimal control
problems involving semicontinuity and convergence;
relaxation); 58C06 (Set-valued and function-space
valued mappings on manifolds); 49J27 (Optimal control
problems in abstract spaces (existence)); 46A30 (Open
mapping and closed graph theorems; completeness); 46A40
(Ordered topological linear spaces, vector lattices)",
MRnumber = "631335",
MRreviewer = "Michel Th{\'e}ra",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1646/;
http://www.mscand.dk/article/view/11911/9927",
ZMnumber = "0468.49007",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematica Scandinavica",
journal-URL = "http://www.mscand.dk/issue/archive",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1981:RAC,
author = "Jon Borwein and Henry Wolkowicz",
title = "Regularizing the abstract convex program",
journal = j-J-MATH-ANAL-APPL,
volume = "83",
number = "2",
pages = "495--530",
year = "1981",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(81)90138-4",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "90C48 (90C25)",
MRnumber = "641348",
MRreviewer = "S. Zlobec",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
URL = "http://docserver.carma.newcastle.edu.au/1645/;
http://www.sciencedirect.com/science/article/pii/0022247X81901384",
abstract = "Characterizations of optimality for the abstract
convex program $ \mu = i n f \{ p(x) \colon g(x) \in -
S, x \in \Omega \} (P) $ where $S$ is an arbitrary
convex cone in a finite dimensional space, $ \Omega $
is a convex set, and $p$ and $g$ are respectively
convex and $S$-convex (on $ \Omega $), were given in
[10]. These characterizations hold without any
constraint qualification. They use the ``minimal cone''
$ S^f$ of $ (P)$ and the cone of directions of
constancy $ D_g = (S^f)$. In the faithfully convex case
these cones can be used to regularize $ (P)$, i.e.,
transform $ (P)$ into an equivalent program $ (P_r)$
for which Slater's condition holds. We present an
algorithm that finds both $ S^$ f and $ D_g = (S^f)$.
The main step of the algorithm consists in solving a
particular complementarity problem. We also present a
characterization of optimality for $ (P)$ in terms of
the cone of directions of constancy of a convex
functional $ D_{\phi g}^ = $ rather than $ D_g^ =
(S^f)$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1981:SRP,
author = "J. Borwein",
title = "Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on
antiproximal sets: ``Antiproximinal sets in some Banach
spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR
{\bf 51} \#13553]}}",
journal = j-BULL-CALCUTTA-MATH-SOC,
volume = "73",
number = "1",
pages = "5--8",
year = "1981",
CODEN = "BCMSA5",
ISSN = "0008-0659",
ISSN-L = "0008-0659",
MRclass = "46B20",
MRnumber = "669750",
MRreviewer = "M. M. Day",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1648/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Calcutta Mathematical Society",
journal-URL = "http://bulletin.calmathsoc.org/database.php",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:CDP,
author = "J. M. Borwein",
title = "Continuity and differentiability properties of convex
operators",
journal = j-PROC-LONDON-MATH-SOC-3,
volume = "44",
number = "3",
pages = "420--444",
year = "1982",
CODEN = "PLMTAL",
DOI = "https://doi.org/10.1112/plms/s3-44.3.420",
ISSN = "0024-6115 (print), 1460-244x (electronic)",
ISSN-L = "0024-6115",
MRclass = "58C20 (46G99 47H99 49A51 52A07)",
MRnumber = "656244",
MRreviewer = "Jean-Paul Penot",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1640/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the London Mathematical Society. Third
Series",
journal-URL = "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:COCa,
author = "J. M. Borwein and H. Wolkowicz",
title = "Characterizations of optimality without constraint
qualification for the abstract convex program",
journal = j-MATH-PROG-STUDY,
volume = "19",
pages = "77--100",
year = "1982",
CODEN = "MPSTDF",
ISSN = "0303-3929",
ISSN-L = "0303-3929",
MRclass = "90C25",
MRnumber = "669726",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
note = "Optimality and stability in mathematical
programming.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming Study",
journal-URL = "https://link.springer.com/bookseries/8439",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1982:COCb,
author = "J. M. Borwein and H. Wolkowicz",
booktitle = "{Optimality and Stability in Mathematical
Programming}",
title = "Characterizations of optimality without constraint
qualification for the abstract convex program",
publisher = pub-SV,
address = pub-SV:adr,
pages = "??--??",
year = "1982",
DOI = "https://doi.org/10.1007/BFb0120983",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0120983",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:HBE,
author = "Jonathan M. Borwein",
title = "On the {Hahn--Banach} extension property",
journal = j-PROC-AM-MATH-SOC,
volume = "86",
number = "1",
pages = "42--46",
year = "1982",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2044393",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46A40 (06F20)",
MRnumber = "663863",
MRreviewer = "M. M. Day",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:NES,
author = "J. M. Borwein",
title = "A note on the existence of subgradients",
journal = j-MATH-PROG,
volume = "24",
number = "2",
pages = "225--228",
year = "1982",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01585105",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "49A50 (90C25)",
MRnumber = "674632",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1641/;
http://link.springer.com/article/10.1007/BF01585105",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxnumber = "1",
}
@Article{Borwein:1982:NSC,
author = "J. M. Borwein",
title = "Necessary and sufficient conditions for quadratic
minimality",
journal = j-NUMER-FUNCT-ANAL-OPTIM,
volume = "5",
number = "2",
pages = "127--140",
year = "1982",
CODEN = "NFADOL",
DOI = "https://doi.org/10.1080/01630568208816135",
ISSN = "0163-0563 (print), 1532-2467 (electronic)",
ISSN-L = "0163-0563",
MRclass = "90C20",
MRnumber = "704109",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1639/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Numerical Functional Analysis and Optimization. An
International Journal",
journal-URL = "http://www.tandfonline.com/loi/lnfa20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:NSM,
author = "J. M. Borwein",
title = "A note on $ \varepsilon $-subgradients and maximal
monotonicity",
journal = j-PAC-J-MATH,
volume = "103",
number = "2",
pages = "307--314",
year = "1982",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "90C25 (49A50 58C20)",
MRnumber = "705231",
MRreviewer = "J. E. Spingarn",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102723964",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1982:SSI,
author = "J. M. Borwein and G. P. H. Styan and H. Wolkowicz",
title = "Solutions: Some Inequalities Involving Statistical
Expressions ({L. V. Foster})",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "340--342",
month = "????",
year = "1982",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1024072",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:53:30 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/24/3;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1982",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:APD,
author = "J. M. Borwein",
title = "Adjoint process duality",
journal = j-MATH-OP-RES,
volume = "8",
number = "3",
pages = "403--434",
year = "1983",
CODEN = "MOREDQ",
DOI = "https://doi.org/10.1287/moor.8.3.403",
ISSN = "0364-765x (print), 1526-5471 (electronic)",
ISSN-L = "0364-765X",
MRclass = "90C25",
MRnumber = "716121",
MRreviewer = "J. E. Spingarn",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "See letter \cite{Zalinescu:1986:LEJ}.",
URL = "http://docserver.carma.newcastle.edu.au/1633/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/moor",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:CCP,
author = "J. M. Borwein",
title = "Completeness and the contraction principle",
journal = j-PROC-AM-MATH-SOC,
volume = "87",
number = "2",
pages = "246--250",
year = "1983",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2043697",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "54H25 (54E40)",
MRnumber = "681829",
MRreviewer = "L. Janos",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1637/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:EPE,
author = "Jonathan M. Borwein",
title = "On the existence of {Pareto} efficient points",
journal = j-MATH-OP-RES,
volume = "8",
number = "1",
pages = "64--73",
month = feb,
year = "1983",
CODEN = "MOREDQ",
DOI = "https://doi.org/10.1287/moor.8.1.64",
ISSN = "0364-765x (print), 1526-5471 (electronic)",
ISSN-L = "0364-765X",
MRclass = "90C25 (46N05 52A05)",
MRnumber = "703826",
MRreviewer = "Autorreferat",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1636/;
https://www.jstor.org/stable/3689411",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/moor",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:FDS,
author = "J. M. Borwein and K. O. Kortanek",
title = "{Fenchel}-duality and separably-infinite programs",
journal = j-OPTIMIZATION,
volume = "14",
number = "1",
pages = "37--48.",
year = "1983",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331938308842831",
ISSN = "0323-3898",
ISSN-L = "0233-1934",
MRclass = "90C25 (90C05)",
MRnumber = "694801",
MRreviewer = "W. F. Tyndall",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematische Operationsforschung und Statistik Series
Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1983:HSS,
author = "J. M. Borwein",
booktitle = "Semi-infinite Programming",
title = "How special is semi-infinite programming?",
publisher = pub-SV,
address = pub-SV:adr,
pages = "139--172",
year = "1983",
bibdate = "Mon Aug 15 15:11:40 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:NFL,
author = "J. M. Borwein",
title = "A note on the {Farkas} lemma",
journal = j-UTIL-MATH,
volume = "24",
pages = "235--241",
year = "1983",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "90C05 (90C30)",
MRnumber = "724772",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1631/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics",
journal-URL = "http://bkocay.cs.umanitoba.ca/utilitas/index.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:NMB,
author = "Jonathan Borwein and Brailey Sims",
title = "Nonexpansive mappings on {Banach} lattices",
journal = j-C-R-ACAD-SCI-CANADA,
volume = "5",
number = "1",
pages = "21--26",
year = "1983",
ISSN = "0706-1994",
MRclass = "46A40 (46B20 47H09)",
MRnumber = "690312",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1635/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "La Soci{\'e}t{\'e} Royale du Canada. L'Academie des
Sciences. Comptes Rendus Math{\'e}matiques.
(Mathematical Reports)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:PSA,
author = "J. Borwein and Gabor J. Szekely and Andras Zempleni
and Michael Barr and Edmund Butler and Allen J. Schwenk
and Thomas Q. Sibley",
title = "Problems and Solutions: Advanced Problems: 6430-6435",
journal = j-AMER-MATH-MONTHLY,
volume = "90",
number = "6",
pages = "402--403",
year = "1983",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2975584",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1540218",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1983:SIP,
author = "Jonathan M. Borwein",
editor = "Anthony V. Fiacco and Kenneth O. Kortanek",
booktitle = "{Semi-Infinite Programming and Applications: an
International Symposium, Austin, Texas, September 8
-10, 1981}",
title = "Semi-infinite programming duality: how special is
it?",
volume = "215",
publisher = pub-SV,
address = pub-SV:adr,
bookpages = "xi + 322",
pages = "10--36",
year = "1983",
DOI = "https://doi.org/10.1007/978-3-642-46477-5_2",
ISBN = "0-387-12304-0 (paperback: New York), 3-540-12304-0
(paperback: Berlin)",
ISBN-13 = "978-0-387-12304-2 (paperback: New York),
978-3-540-12304-0 (paperback: Berlin)",
LCCN = "QA402.5 .S428 1983",
MRclass = "49D39 (90C30)",
MRnumber = "709266",
MRreviewer = "Sven-{\.A}ke Gustafson",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Lecture Notes in Economics and Mathematical Systems",
acknowledgement = ack-nhfb,
aseries = "Lecture Notes in Econom. and Math. Systems",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-DOI = "https://doi.org/10.1007/978-3-642-46477-5",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1983:VRC,
author = "J. M. Borwein and P. B. Borwein",
title = "A very rapidly convergent product expansion for $ \pi
$",
journal = j-BIT,
volume = "23",
number = "4",
pages = "538--540",
month = dec,
year = "1983",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933626",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65B99",
MRnumber = "721199, 85h:65011",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://docserver.carma.newcastle.edu.au/1634/;
http://link.springer.com/article/10.1007/BF01933626;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=4&spage=538",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic--Geometric Mean and Fast Computation of
Elementary Functions",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "351--366",
month = jul,
year = "1984",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1026073",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65D20 (26A09)",
MRnumber = "750454; 86d:65029",
MRreviewer = "S. Conde",
bibdate = "Tue Mar 14 07:52:56 2017",
bibsource = "Compendex database;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://epubs.siam.org/toc/siread/26/3;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "https://www.jstor.org/stable/2031275",
abstract = "We produce a self contained account of the
relationship between the Gaussian arithmetic--geometric
mean iteration and the fast computation of elementary
functions. A particularly pleasant algorithm for pi is
one of the by-products.",
acknowledgement = ack-nhfb # " and " # ack-nj,
affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
classification = "723; 921",
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
journalabr = "SIAM Rev",
keywords = "AGM (Arithmetic--Geometric Mean);
arithmetic--geometric mean; calculation of pi;
computational methods; elliptic functions; Iterative
Methods; mathematical techniques; numerical
mathematics",
onlinedate = "July 1984",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:ANV,
author = "J. M. Borwein and D. T. Yost",
title = "Absolute norms on vector lattices",
journal = j-PROC-EDINBURGH-MATH-SOC-2,
volume = "27",
number = "2",
pages = "215--222",
month = jun,
year = "1984",
CODEN = "PEMSA3",
DOI = "https://doi.org/10.1017/S0013091500022318",
ISSN = "0013-0915 (print), 1464-3839 (electronic)",
ISSN-L = "0013-0915",
MRclass = "46A40 (46B30 90C48)",
MRnumber = "760617",
MRreviewer = "I. Namioka",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1624/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3076132",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the Edinburgh Mathematical Society.
Series II",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:CCO,
author = "J. M. Borwein and J.-P. Penot and M. Th{\'e}ra",
title = "Conjugate convex operators",
journal = j-J-MATH-ANAL-APPL,
volume = "102",
number = "2",
pages = "399--414",
year = "1984",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(84)90180-X",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "90C48 (46G99 49A50)",
MRnumber = "755971",
MRreviewer = "Christian Malivert",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1620/;
http://www.sciencedirect.com/science/article/pii/0022247X8490180X",
abstract = "Convex mappings from a locally convex space X into F.
= F \cup {+\infty } are considered, where F is an
ordered topological vector space and + \infty an
arbitrary greatest element adjoined to F. In view of
applications to the polarity theory of convex
operators, the possibility is investigated of
representing a convex mapping taking values in F. as a
supremum of continuous affine mappings.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:CHO,
author = "J. M. Borwein and P. B. Borwein",
title = "Cubic and higher order algorithms for $ \pi $",
journal = j-CAN-MATH-BULL,
volume = "27",
number = "4",
pages = "436--443",
month = dec,
year = "1984",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1984-067-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "11Y16 (33A25 65D20)",
MRnumber = "763041",
MRreviewer = "L. C. Eggan",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v27/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://docserver.carma.newcastle.edu.au/1622/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:DLM,
author = "J. M. Borwein and H. M. Str{\'o}jwas",
title = "Directionally {Lipschitzian} mappings on {Baire}
spaces",
journal = j-CAN-J-MATH,
volume = "36",
number = "1",
pages = "95--130",
year = "1984",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1984-008-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "49A52 (26A27 58C20 90C30 90C48)",
MRnumber = "733710",
MRreviewer = "Jean-Paul Penot",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1627/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1984:EAO,
author = "J. M. Borwein and P. B. Borwein",
title = "Explicit algebraic $n$ th order approximations to pi",
crossref = "Singh:1984:ATS",
volume = "136",
pages = "247--256",
year = "1984",
DOI = "https://doi.org/10.1007/978-94-009-6466-2_12",
MRclass = "65D20",
MRnumber = "786845",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://link.springer.com/chapter/10.1007/978-94-009-6466-2_12",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1984:EEH,
author = "J. M. Borwein",
editor = "????",
booktitle = "APICS Proceedings",
title = "On the existence of eigenvalues for {Hermitian}
matrices",
publisher = "????",
address = "????",
pages = "1--5",
year = "1984",
DOI = "",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Mon Aug 15 15:10:50 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxaddress = "Falls Church, VA",
xxbooktitle = "{APICS Microprocessor Seminar proceedings, January 30,
31, February 1, 1984, Palm Springs, {CA}}",
xxISBN = "0-935406-40-9",
xxisbn-13 = "978-0-935406-40-5",
xxLCCN = "TS157 .A64 1984",
xxpublisher = "American Production and Inventory Control Society",
}
@Unpublished{Borwein:1984:EIA,
author = "J. M. Borwein and P. B. Borwein",
title = "Elliptic integrals and approximations to $ \pi $",
month = jan,
year = "1984",
bibdate = "Mon Nov 07 17:37:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Typescript, with 84-01 added by hand on cover page.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:GLC,
author = "J. M. Borwein",
title = "Generalized linear complementarity problems treated
without fixed-point theory",
journal = j-J-OPT-THEORY-APPL,
volume = "43",
number = "3",
pages = "343--356",
year = "1984",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00934459",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C33 (90C25)",
MRnumber = "750013",
MRreviewer = "Ikuyo Kaneko",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/BF00934459",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:HMM,
author = "J. M. Borwein and B. Richmond",
title = "How many matrices have roots?",
journal = j-CAN-J-MATH,
volume = "36",
number = "2",
pages = "286--299",
year = "1984",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1984-018-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "15A23",
MRnumber = "749985",
MRreviewer = "J. L. Brenner",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1628/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:ICE,
author = "J. M. Borwein",
title = "An integral characterization of {Euclidean} space",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "29",
number = "3",
pages = "357--364",
year = "1984",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S0004972700021602",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "46C10",
MRnumber = "748728",
MRreviewer = "M. M. Day",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1623/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1984:NMB,
author = "Jon M. Borwein and Brailey Sims",
title = "Nonexpansive mappings on {Banach} lattices and related
topics",
journal = j-HOUSTON-J-MATH,
volume = "10",
number = "3",
pages = "339--356",
year = "1984",
CODEN = "HJMADZ",
ISSN = "0362-1588",
MRclass = "47H10 (46A40 46B20)",
MRnumber = "763236",
MRreviewer = "Gregory B. Passty",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.math.uh.edu/~hjm/restricted/archive/v010n3/0339BORWEIN.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Houston Journal of Mathematics",
journal-URL = "https://www.math.uh.edu/~hjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1984:RCC,
author = "J. M. Borwein and P. B. Borwein",
title = "Reduced Complexity Calculation of Log",
number = "DALTR 84-01",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "17",
month = jan,
year = "1984",
bibdate = "Mon Nov 07 17:37:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "Various reduced complexity methods for high precision
computation of the logarithm are investigated.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "analytic complexity; arithmetic--geometric mean;
binary splitting; bit complexity; elliptic integrals;
Fast Fourier Transform; logarithms; operational
complexity; theta functions",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Typescript, with 84-01 added by hand on cover page.",
}
@Article{Borwein:1984:SCO,
author = "J. M. Borwein",
title = "Subgradients of convex operators",
journal = j-OPTIMIZATION,
volume = "15",
number = "2",
pages = "179--191",
year = "1984",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331938408842921",
ISSN = "0323-3898",
ISSN-L = "0233-1934",
MRclass = "90C25 (65K05)",
MRnumber = "741284",
MRreviewer = "C. A. Botsaris",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematische Operationsforschung und Statistik Series
Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1984:SCS,
author = "J. M. Borwein and D. W. Tingley",
title = "On Supportless Convex Sets",
type = "Report",
number = "DALTR 84-04",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
pages = "13",
year = "1984",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We give some general constructions of supportless
convex subsets of normed spaces and pose a number of
open questions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Bishop-Phelps Theorem; convex sets; support points",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1984:SRP,
author = "J. M. Borwein",
title = "Stability and Regular Points of Inequality Systems",
type = "Report",
number = "DALTR 84-02",
institution = "Department of Mathematics, Dalhousie University and
Carnegie-Mellon University",
address = "Halifax, NS, Canada and Pittsburgh, PA, USA",
pages = "67",
year = "1984",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We undertake a general study of regular points of
Lipschitz and strictly differentiable mappings with
applications to tangent cone analysis, inversion
theorems, perturbed optimization problems and higher
order conditions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1984:TCS,
author = "J. M. Borwein and P. B. Borwein",
title = "A tangent cone separation principle",
type = "Report",
number = "DALTR 84-03",
institution = "Department of Mathematics, Dalhousie University",
address = "Halifax, NS, Canada",
month = jan,
year = "1984",
bibdate = "Mon Nov 07 17:37:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Typescript, with DALTR added by hand on cover page
before typewritten 84-03.",
}
@Article{Borwein:1984:TKN,
author = "J. M. Borwein and J. W. Nieuwenhuis",
title = "Two kinds of normality in vector optimization",
journal = j-MATH-PROG,
volume = "28",
number = "2",
pages = "185--191",
year = "1984",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF02612358",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C31",
MRnumber = "733210",
MRreviewer = "M. Ma{\v{n}}as",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1626/;
http://link.springer.com/article/10.1007/BF02612358",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1985:ATG,
author = "Jonathan M. Borwein",
booktitle = "Infinite programming ({Cambridge}, 1984)",
title = "Alternative theorems for general complementarity
problems",
volume = "259",
publisher = pub-SV,
address = pub-SV:adr,
pages = "194--203",
year = "1985",
DOI = "https://doi.org/10.1007/978-3-642-46564-2_15",
MRclass = "90C33 (52A40)",
MRnumber = "824573",
MRreviewer = "J. Parida",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Lecture Notes in Econom. and Math. Systems",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:CLS,
author = "David Borwein and Jonathan M. Borwein and Keith F.
Taylor",
title = "Convergence of lattice sums and {Madelung}'s
constant",
journal = j-J-MATH-PHYS,
volume = "26",
number = "11",
pages = "2999--3009",
month = nov,
year = "1985",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.526675",
ISSN = "0022-2488",
ISSN-L = "0022-2488",
MRclass = "82A67 (82A60)",
MRnumber = "808518",
MRreviewer = "Pierre Moussa",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1985JMP....26.2999B;
http://docserver.carma.newcastle.edu.au/1618/",
abstract = "The lattice sums involved in the definition of
Madelung's constant of an NaCl-type crystal lattice in
two or three dimensions are investigated. The
fundamental mathematical questions of convergence and
uniqueness of the sum of these, not absolutely
convergent, series are considered. It is shown that
some of the simplest direct sum methods converge and
some do not converge. In particular, the very common
method of expressing Madelung's constant by a series
obtained from expanding spheres does not converge. The
concept of analytic continuation of a complex function
to provide a basis for an unambiguous mathematical
definition of Madelung's constant is introduced. By
these means, the simple intuitive direct sum methods
and the powerful integral transformation methods, which
are based on theta function identities and the Mellin
transform, are brought together. A brief analysis of a
hexagonal lattice is also given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:PSA,
author = "Jon Borwein and Anatole Beck",
title = "Problems and Solutions: Advanced Problems:
6491--6492",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "3",
pages = "217--217",
month = mar,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322884",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1540608",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Beck:1987:PSS,Borwein:1986:PSS}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:PSS,
author = "J. Borwein",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6430",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "2",
pages = "148--149",
month = feb,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322656",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1540590",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Borwein:1983:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:SCS,
author = "J. M. Borwein and D. W. Tingley",
title = "On supportless convex sets",
journal = j-PROC-AM-MATH-SOC,
volume = "94",
number = "3",
pages = "471--476",
year = "1985",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2045238",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B20 (46A55 52A07)",
MRnumber = "787897",
MRreviewer = "N. T. Peck",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1619/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:SMI,
author = "Jon Borwein",
title = "Some modular identities of {Ramanujan} useful in
approximating $ \pi $",
journal = j-PROC-AM-MATH-SOC,
volume = "95",
number = "3",
pages = "365--371",
month = nov,
year = "1985",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2045804",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "11F03 (11J72 41A25)",
MRnumber = "806072",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1616/;
https://www.jstor.org/stable/2045804",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1985:TA,
author = "J. M. Borwein and H. M. Str{\'o}jwas",
title = "Tangential approximations",
journal = j-NONLINEAR-ANAL,
volume = "9",
number = "12",
pages = "1347--1366",
year = "1985",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/0362-546X(85)90095-1",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "90C48 (46A55 90C25)",
MRnumber = "820646",
MRreviewer = "Christian Malivert",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1617/;
http://www.sciencedirect.com/science/article/pii/0362546X85900951",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "epi-Lipschitzian (compactly epi-Lipschitzian; Tangent
cones; tangentially regular) set at a point;
unsupportable space",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Honor:1985:DTR,
author = "R. B. Honor",
title = "Density and transitivity results on $ l^\infty $ and $
l^1 $",
journal = j-J-LOND-MATH-SOC-2,
volume = "S2-32",
number = "3",
pages = "521--527",
month = dec,
year = "1985",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s2-32.3.521",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Fri Aug 12 15:21:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "The `author' is an acronym for the family names of
seven people: Heydar Radjavi, Jon Borwein, Don Hadwin,
Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter
Rose.",
URL = "http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+html",
acknowledgement = ack-nhfb,
ajournal = "J. Lond. Math. Soc. (2)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the London Mathematical Society (series
2)",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Adler:1986:PSS,
author = "Irving Adler and A. A. Jagers and J. M. Borwein",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2997}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "304--304",
month = apr,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323694",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1540849",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:ECI,
author = "J. M. Borwein and P. B. Borwein",
title = "An explicit cubic iteration for $ \pi $",
journal = j-BIT,
volume = "26",
number = "1",
pages = "123--126",
month = mar,
year = "1986",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01939368",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "11Y60 (65D20)",
MRnumber = "833837, 87e:11144",
MRreviewer = "Duncan A. Buell",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://docserver.carma.newcastle.edu.au/1609/;
http://link.springer.com/article/10.1007/BF01939368;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=1&spage=123",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:FMT,
author = "J. M. Borwein and D. Zhuang",
title = "On {Fan}'s minimax theorem",
journal = j-MATH-PROG,
volume = "34",
number = "2",
pages = "232--234",
year = "1986",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01580587",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C30 (90C48)",
MRnumber = "838482",
MRreviewer = "Marco Gaviano",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1608/;
http://link.springer.com/article/10.1007/BF01580587",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:GDO,
author = "Jonathan M. Borwein",
title = "Generic differentiability of order-bounded convex
operators",
journal = j-J-AUSTRAL-MATH-SOC-SER-B,
volume = "28",
number = "1",
pages = "22--29",
month = jul,
year = "1986",
CODEN = "JAMMDU",
DOI = "https://doi.org/10.1017/S0334270000005166",
ISSN = "0334-2700",
ISSN-L = "0334-2700",
MRclass = "90C25 (46G05 90C48)",
MRnumber = "846780",
MRreviewer = "Christian Malivert",
bibdate = "Fri Sep 30 10:52:51 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
URL = "http://docserver.carma.newcastle.edu.au/1607/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3973752;
https://www.cambridge.org/core/journals/anziam-journal/article/generic-differentiability-of-orderbounded-convex-oparators/EBC10922AB270DAAF5784308C7E3157A",
acknowledgement = ack-nhfb,
ajournal = "J. Austral Math. Soc. Ser. B",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society. Series
B, Applied Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
onlinedate = "17 February 2009",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1986:LOC,
author = "J. M. Borwein and M. A. H. Dempster",
title = "The Linear Order Complementarity Problem",
type = "Report",
number = "DALTR 86-3",
institution = "Department of Mathematics, Statistics \& Computing
Science, Dalhousie University and Balliol College,
Oxford University",
address = "Halifax, NS, Canada and Oxford, England OX1 3BJ",
pages = "47",
month = jul,
year = "1986",
bibdate = "Tue Nov 08 15:45:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "The classical complementarity problem in Euclidean
space can be viewed alternatively as a variational
inequality or as a lattice orthogonality problem.
Generalizations of the former have been extensively
studied, but infinite dimensional analogues of the
latter have been largely ignored. Moreover, as we show,
many well known results about the classical
complementarity problem are more appropriately viewed
order-theoretically. This is particularly true of least
element solutions, which are central to the present
study of order complementarity in vector lattices.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "(P) operators; (Z) operators; Banach lattices;
complementarity problems; Least elements; order
complementarity",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Revision of August 1985 original.",
}
@Article{Borwein:1986:MQC,
author = "J. M. Borwein and P. B. Borwein",
title = "More quadratically converging algorithms for $ \pi $",
journal = j-MATH-COMPUT,
volume = "46",
number = "173",
pages = "247--253",
month = jan,
year = "1986",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008229",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D20",
MRnumber = "815846, 87e:65014",
MRreviewer = "M. M. Chawla",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
URL = "http://docserver.carma.newcastle.edu.au/1614/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
classcodes = "B0290F (Interpolation and function approximation);
B0290Z (Other numerical methods); C4130 (Interpolation
and function approximation); C4190 (Other numerical
methods)",
corpsource = "Dalhousie Univ., Halifax, NS, Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "arithmetic--geometric mean iteration; complete
elliptic; convergence of numerical methods;
Gauss--Legendre iteration; geometry; integrals;
iterative; Legendre formula; methods; pi evaluation;
quadratically converging algorithms",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1986:NAS,
author = "David Borwein and Jonathan M. Borwein",
title = "A Note on Alternating Series in Several Dimensions",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "7",
pages = "531--539",
month = aug # "\slash " # sep,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323026",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40B05 (40A05)",
MRnumber = "856292, 87j:40008",
MRreviewer = "F. M{\'o}ricz",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
URL = "http://docserver.carma.newcastle.edu.au/1610/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:NDC,
author = "J. M. Borwein",
title = "Norm duality for convex processes and applications",
journal = j-J-OPT-THEORY-APPL,
volume = "48",
number = "1",
pages = "53--64",
year = "1986",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00938589",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C25 (46N05)",
MRnumber = "825384",
MRreviewer = "Lionel Thibault",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fourth symposium on nonlinear programming with data
perturbations.",
URL = "http://docserver.carma.newcastle.edu.au/1613/;
http://link.springer.com/article/10.1007/BF00938589",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:PAB,
author = "J. M. Borwein and H. M. Str{\'o}jwas",
title = "Proximal analysis and boundaries of closed sets in
{Banach} space. {I}. {Theory}",
journal = j-CAN-J-MATH,
volume = "38",
number = "2",
pages = "431--452",
year = "1986",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1986-022-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "90C48 (46B10 49A50 58C20)",
MRnumber = "833578",
MRreviewer = "Bruce D. Craven",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1611/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:PMO,
author = "J. M. Borwein",
title = "Partially monotone operators and the generic
differentiability of convex-concave and biconvex
mappings",
journal = j-ISRAEL-J-MATH,
volume = "54",
number = "1",
pages = "42--50",
year = "1986",
CODEN = "ISJMAP",
DOI = "https://doi.org/10.1007/BF02764875",
ISSN = "0021-2172 (print), 1565-8511 (electronic)",
ISSN-L = "0021-2172",
MRclass = "90C48 (47H05 49A51 58C20)",
MRnumber = "852468",
MRreviewer = "Jean-Paul Penot",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1605/;
http://link.springer.com/article/10.1007/BF02764875",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Israel Journal of Mathematics",
journal-URL = "http://link.springer.com/journal/11856",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:PSS,
author = "Jon Borwein and William A. Newcomb",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6491",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "10",
pages = "822--823",
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322952",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1541009",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:SCQ,
author = "J. M. Borwein and H. Wolkowicz",
title = "A simple constraint qualification in
infinite-dimensional programming",
journal = j-MATH-PROG,
volume = "35",
number = "1",
pages = "83--96",
year = "1986",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01589443",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C48",
MRnumber = "842636",
MRreviewer = "W. W. Breckner",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
URL = "http://docserver.carma.newcastle.edu.au/1606/;
http://link.springer.com/article/10.1007/BF01589443",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1986:SRP,
author = "J. M. Borwein",
title = "Stability and regular points of inequality systems",
journal = j-J-OPT-THEORY-APPL,
volume = "48",
number = "1",
pages = "9--52",
year = "1986",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00938588",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "58C20 (46N05 90C30 90C48)",
MRnumber = "825383",
MRreviewer = "Lionel Thibault",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fourth symposium on nonlinear programming with data
perturbations.",
URL = "http://docserver.carma.newcastle.edu.au/1612/;
http://link.springer.com/article/10.1007/BF00938588",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:ACO,
author = "J. M. Borwein",
title = "Automatic continuity and openness of convex
relations",
journal = j-PROC-AM-MATH-SOC,
volume = "99",
number = "1",
pages = "49--55",
month = jan,
year = "1987",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2046269",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46A55 (47H99)",
MRnumber = "866428",
MRreviewer = "Robert T. Vescan",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1604/;
https://www.jstor.org/stable/2046269",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1987:CCM,
author = "J. M. Borwein",
booktitle = "{Recent Advances and Historical Development of Vector
Optimization}",
title = "Convex Cones, Minimality Notions, and Consequences",
publisher = pub-SV,
address = pub-SV:adr,
pages = "??--??",
year = "1987",
DOI = "https://doi.org/10.1007/978-3-642-46618-2_3",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-642-46618-2_3",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1987:CMN,
author = "J. M. Borwein",
booktitle = "Recent Advances and Historic Development of Vector
Optimization",
title = "Cones, minimality notions and consequences",
publisher = pub-SV,
address = pub-SV:adr,
pages = "62--85",
year = "1987",
bibdate = "Mon Aug 15 15:09:27 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:DRF,
author = "J. M. Borwein and S. P. Fitzpatrick and J. R. Giles",
title = "The differentiability of real functions on normed
linear space using generalized subgradients",
journal = j-J-MATH-ANAL-APPL,
volume = "128",
number = "2",
pages = "512--534",
year = "1987",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(87)90203-4",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "58C20 (26E15 46G05 49A52 90C48)",
MRnumber = "917385",
MRreviewer = "W. W. Breckner",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1598/;
http://www.sciencedirect.com/science/article/pii/0022247X87902034",
abstract = "The modification of the Clarke generalized
subdifferential due to Michel and Penot is a useful
tool in determining differentiability properties for
certain classes of real functions on a normed linear
space. The G{\^a}teaux differentiability of any real
function can be deduced from the G{\^a}teaux
differentiability of the norm if the function has a
directional derivative which attains a constant related
to its generalized directional derivative. For any
distance function on a space with uniformly G{\^a}teaux
differentiable norm, the Clarke and Michel-Penot
generalized subdifferentials at points off the set
reduce to the same object and this generates a
continuity characterization for G{\^a}teaux
differentiability. However, on a Banach space with
rotund dual, the Fr{\'e}chet differentiability of a
distance function implies that it is a convex function.
A mean value theorem for the modified generalized
subdifferential has implications for G{\^a}teaux
differentiability.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1987:EIE,
author = "J. M. Borwein and I. J. Zucker",
title = "Elliptic Integral Evaluation of the Gamma Function at
Values with Small Rational Denominators",
type = "Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University and Department of
Physics, King's College",
address = "Halifax, NS B3H 3J5, Canada and London WC2, UK",
pages = "13",
day = "2",
month = sep,
year = "1987",
bibdate = "Fri Nov 11 06:50:29 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We produce simplified evaluations of certain complete
elliptic integrals in terms of Gamma and Beta
functions. We also provide explicit quadratically
convergent recursions for quantities including $ \Gamma
(n / 4) $ and $ \Gamma (n / 6) $.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:ELL,
author = "Jonathan Michael Borwein",
title = "Epi-{Lipschitz}-like sets in {Banach} space: theorems
and examples",
journal = j-NONLINEAR-ANAL,
volume = "11",
number = "10",
pages = "1207--1217",
year = "1987",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/0362-546X(87)90008-3",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "90C48 (46G99 58C20 90C25)",
MRnumber = "913679",
MRreviewer = "J. E. Spingarn",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1599/;
http://www.sciencedirect.com/science/article/pii/0362546X87900083",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "differential inclusions; epi-Lipschitz-like sets;
Lipschitz-like functions; locally compact subgradients;
non-support points; Nonsmooth analysis; normal cones",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:ERT,
author = "J. M. Borwein and P. B. Borwein",
title = "Explicit {Ramanujan}-type approximations to pi of high
order",
journal = "Proceedings of the Indian Academy of Sciences ---
Mathematical Sciences",
volume = "97",
number = "1--3",
pages = "53--59",
year = "1987",
DOI = "https://doi.org/10.1007/BF02837813",
ISSN = "0253-4142 (print), 0973-7685 (electronic)",
ISSN-L = "0253-4142",
MRclass = "11Y60",
MRnumber = "983604",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Centennial issue.",
URL = "http://link.springer.com/article/10.1007/BF02837813",
acknowledgement = ack-nhfb,
ajournal = "Proc. Indian Acad. Sci. Math. Sci.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Indian Academy of Sciences. Proceedings. Mathematical
Sciences",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxyear = "1988",
}
@TechReport{Borwein:1987:ESE,
author = "D. Borwein and J. M. Borwein and R. Shail and I. J.
Zucker",
title = "Energy of Static Electron Lattices",
type = "Report",
institution = "University of Western Ontario and Department of
Mathematics, Statistics and Computing Science,
Dalhousie University and University of Surrey and
University of Surrey",
address = "London, ON N6A 3K7, Canada and Halifax, NS B3H 3J5,
Canada and Guildford, UK GU2 5XH and Guildford, UK GU2
5XH",
pages = "20",
day = "11",
month = sep,
year = "1987",
bibdate = "Fri Nov 11 06:54:37 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "A new approach to evaluating the static lattice energy
of any given Wigner lattice is proposed. The method is
much simpler than the traditional one and the results
are much faster to evaluate. The new approach is
applied to two-dimensional triangular lattices where it
is shown that the triangular lattice is more stable
than the square lattice. Three dimensional hexagonal
lattices are also investigated. In addition, we have
placed many of our considerations on a rigorous
mathematical footing.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Date recorded in ambiguous form 11/9/87; entry
Borwein:1988:CCJ has 31/12/88, suggesting that the
first number is the day.",
}
@Article{Borwein:1987:PAB,
author = "J. M. Borwein and H. M. Str{\'o}jwas",
title = "Proximal analysis and boundaries of closed sets in
{Banach} space. {II}. {Applications}",
journal = j-CAN-J-MATH,
volume = "39",
number = "2",
pages = "428--472",
year = "1987",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1987-019-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46B20 (41A65 90C48)",
MRnumber = "899844",
MRreviewer = "Bruce D. Craven",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1600/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:1987:PAS,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Pi and the {AGM}: a Study in Analytic Number Theory
and Computational Complexity",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 414",
year = "1987",
ISBN = "0-471-83138-7, 0-471-31515-X (paperback)",
ISBN-13 = "978-0-471-83138-9, 978-0-471-31515-5 (paperback)",
LCCN = "QA241 .B774 1987",
MRclass = "11Y60 (68Q30)",
MRnumber = "877728",
MRreviewer = "H. London",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
z3950.loc.gov:7090/Voyager",
series = "Canadian Mathematical Society series of monographs and
advanced texts = Monographies et {\'e}tudes de la
Soci{\'e}t{\'e} math{\'e}matique du Canada",
abstract = "Critical Acclaim for Pi and the AGM: ``Fortunately we
have the Borwein's beautiful book \ldots{} explores in
the first five chapters the glorious world so dear to
Ramanujan \ldots{} would be a marvelous text book for a
graduate course.'' --- Bulletin of the American
Mathematical Society \\
``What am I to say about this quilt of a book? One is
reminded of Debussy who, on being asked by his harmony
teacher to explain what rules he was following as he
improvised at the piano, replied, ``Mon plaisir.'' The
authors are cultured mathematicians. They have selected
what has amused and intrigued them in the hope that it
will do the same for us. Frankly, I cannot think of a
more provocative and generous recipe for writing a book
\ldots{} (it) is cleanly, even beautifully written, and
attractively printed and composed. The book is unique.
I cannot think of any other book in print which
contains more than a smidgen of the material these
authors have included. --- SIAM Review \\
``If this subject begins to sound more interesting than
it did in the last newspaper article on 130 million
digits of Pi, I have partly succeeded. To succeed
completely I will have gotten you interested enough to
read the delightful and important book by the
Borweins.'' --- American Mathematical Monthly \\
``The authors are to be commended for their careful
presentation of much of the content of Ramanujan's
famous paper, 'Modular Equations and Approximations to
Pi'. This material has not heretofore appeared in book
form. However, more importantly, Ramanujan provided no
proofs for many of the claims that he made, and so the
authors provided many of the missing details \ldots{}
The Borweins, indeed have helped us find the right
roads.'' --- Mathematics of Computation",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Chinese edition 1995.",
subject = "Number theory; Computational complexity; Elliptic
functions; Pi",
tableofcontents = "Complete Elliptic Integrals and the
Arithmetic-Geometric Mean Iteration \\
Theta Functions and the Arithmetic-Geometric Mean
Iteration \\
Jacobi's Triple-Product and Some Number Theoretic
Applications \\
Higher Order Transformations \\
Modular Equations and Algebraic Approximations to $\pi$
\\
The Complexity of Algebraic Functions \\
Algorithms for the Elementary Functions \\
General Means and Iterations \\
Some Additional Applications \\
Other Approaches to the Elementary Functions \\
Pi \\
Bibliography \\
Symbol List \\
Index",
}
@Article{Borwein:1987:PNF,
author = "J. M. Borwein and J. R. Giles",
title = "The proximal normal formula in {Banach} space",
journal = j-TRANS-AM-MATH-SOC,
volume = "302",
number = "1",
pages = "371--381",
year = "1987",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2000915",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "49A52 (46B20 46G05)",
MRnumber = "887515",
MRreviewer = "Gianfranco Bottaro",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1602/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:RRA,
author = "J. M. Borwein and P. B. Borwein",
title = "{Ramanujan}'s rational and algebraic series for $ 1 /
\pi $",
journal = "J. Indian Math. Soc. (N.S.)",
volume = "51",
pages = "147--160 (1988)",
year = "1987",
CODEN = "JIMTA2",
ISSN = "0019-5839",
ISSN-L = "0019-5839",
MRclass = "11Y60 (33A30)",
MRnumber = "988313",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Ramanujan Centennial issue.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Journal of the Indian Mathematical Society. New
Series",
journal-URL = "http://www.indianmathsociety.org.in/jims.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1987:SVPa,
author = "Jonathan M. Borwein and David Preiss",
title = "A smooth variational principle with applications to
subdifferentiability and to differentiability of convex
functions",
journal = j-TRANS-AM-MATH-SOC,
volume = "303",
number = "2",
pages = "517--527",
month = oct,
year = "1987",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2000681",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)",
MRnumber = "902782",
MRreviewer = "B. Mordukhovich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1597/;
https://www.jstor.org/stable/2000681",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "According to \cite{Thera:2016:HSH}, this paper is the
first published {\em smooth variational principle}.",
}
@Article{Borwein:1987:UPW,
author = "J. M. Borwein and P. B. Borwein",
title = "Unsolved Problems: The Way of All Means",
journal = j-AMER-MATH-MONTHLY,
volume = "94",
number = "6",
pages = "519--522",
month = jun # "\slash " # jul,
year = "1987",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322842",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1541118",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
URL = "https://www.jstor.org/stable/2322842",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Schoenberg:1987:APS,
author = "I. J. Schoenberg and Peter B. Borwein",
title = "Advanced Problems and Solutions: Solutions: 6501",
journal = j-AMER-MATH-MONTHLY,
volume = "94",
number = "4",
pages = "390--390",
month = apr,
year = "1987",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323115",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Schoenberg:1985:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Ward:1987:NCF,
author = "D. E. Ward and J. M. Borwein",
title = "Nonsmooth Calculus in Finite Dimensions",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "25",
number = "5",
pages = "1312--1340",
month = sep,
year = "1987",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/0325072",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "58C20 (46G05 49A52 90C48)",
MRnumber = "905047, 88m:58011",
MRreviewer = "A. B. N{\'e}meth",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
URL = "http://docserver.carma.newcastle.edu.au/1601/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
journalabr = "SIAM J Control Optim",
onlinedate = "September 1987",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Barzilai:1988:TPS,
author = "Jonathan Barzilai and Jonathan M. Borwein",
title = "Two-Point Step Size Gradient Methods",
journal = j-IMA-J-NUMER-ANAL,
volume = "8",
number = "1",
pages = "141--148",
year = "1988",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/8.1.141",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65K05",
MRnumber = "967848, 90h:65113",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://docserver.carma.newcastle.edu.au/1596/1/barzilai-borwein-ocr.pdf;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "According to \cite{Thera:2016:HSH}, Google Scholar
says that this paper has been cited more than 1300
times [checked: 1378 times as of 02 January 2017].
Received 24 September 1986 and in revised form 14 April
1987.",
}
@Article{Ben-Tal:1988:DAM,
author = "A. Ben-Tal and J. M. Borwein and M. Teboulle",
title = "A dual approach to multidimensional {$ L_p $} spectral
estimation problems",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "26",
number = "4",
pages = "985--996",
year = "1988",
CODEN = "SJCODE",
DOI = "https://doi.org/10.1137/0326053",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "49A55 (42A05 49D29 90C25 94A11)",
MRnumber = "948654",
MRreviewer = "Krzysztof C. Kiwiel",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borowski:1988:DM,
author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
title = "Dictionary of mathematics",
publisher = pub-COLLINS,
address = pub-COLLINS:adr,
pages = "xi + 659",
year = "1988",
ISBN = "0-00-434347-6 (paperback)",
ISBN-13 = "978-0-00-434347-1 (paperback)",
LCCN = "QA5",
bibdate = "Mon Oct 23 07:36:34 MDT 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "With contributions by J. F. Bowers.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Dictionaries",
}
@TechReport{Borwein:1988:CCJ,
author = "J. M. Borwein and P. B. Borwein",
title = "A Cubic Counterpart of {Jacobi}'s Identity and the
{AGM}",
type = "Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University",
address = "Halifax, NS B3H 3J5, Canada",
pages = "20",
day = "31",
month = dec,
year = "1988",
bibdate = "Fri Nov 11 07:03:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We produce cubic analogues of Jacobi's celebrated
theta function identity and of the
arithmetic--geometric mean iteration of Gauss and
Legendre. The iteration in question is $ a_{n + 1} =
(a_n + 2 b_n) / 3 $ and $ b_{n + 1} = \sqrt
[3]{b_n((a_n^2 + a_n b_n + b_n^2) / 3)} $. The limit of
this iteration is identified in terms of the
hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1;
\cdot)$ which supports a particularly simple cubic
transformation.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$\pi$; arithmetic--geometric mean (AGM); cubic
transformations; generalised elliptic functions;
hypergeometric functions; mean iterations; theta
functions",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1988:CFF,
author = "J. M. Borwein and P. B. Borwein",
title = "On the Complexity of Familiar Functions and Numbers",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "589--601",
month = dec,
year = "1988",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1030134",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "68Q25 (03D15 11Y16)",
MRnumber = "967961, 89k:68061",
MRreviewer = "Klaus W. Wagner",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "ACM Computing Archive CD-ROM database (1991);
Compendex database;
http://epubs.siam.org/toc/siread/30/4;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://docserver.carma.newcastle.edu.au/1593/;
https://www.jstor.org/stable/2030559",
abstract = "This paper examines low-complexity approximations to
familiar functions and numbers. The intent is to
suggest that it is possible to base a taxonomy of such
functions and numbers on their computational
complexity. A central theme is that traditional methods
of approximation are often very far from optimal, while
good or optimal methods are often very far from
obvious. For most functions, provably optimal methods
are not known; however the gap between what is known
and what is possible is often small. A considerable
number of open problems are posed and a number of
related examples are presented.",
acknowledgement = ack-nhfb,
affiliationaddress = "Halifax, NS, Can",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
bibno = "58008",
catcode = "G.1.2; F.2.1; F.1.3",
classification = "921",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; F.2.1 Numerical Algorithms and Problems;
F.1.3 Complexity Classes",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
Complexity Classes",
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
genterm = "algorithms; theory; performance",
guideno = "1988-13907",
journal-URL = "http://epubs.siam.org/sirev",
journalabbrev = "SIAM Rev.",
journalabr = "SIAM Rev",
jrldate = "Dec. 1988",
keywords = "Algebraic Approximation; Approximation Theory;
Computation of Digits; Familiar Functions; Low
Complexity Approximation; Mathematical Techniques;
Rational Approximation; Reduced Complexity
Approximation",
onlinedate = "December 1988",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
COMPUTATION BY ABSTRACT DEVICES",
}
@Article{Borwein:1988:ESE,
author = "D. Borwein and J. M. Borwein and R. Shail and I. J.
Zucker",
title = "Energy of static electron lattices",
journal = j-J-PHYS-A,
volume = "21",
number = "7",
pages = "1519--1531",
month = apr,
year = "1988",
CODEN = "JPHAC5",
DOI = "https://doi.org/10.1088/0305-4470/21/7/015",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A65 (81H99)",
MRnumber = "951042",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1988JPhA...21.1519B;
http://docserver.carma.newcastle.edu.au/1592/;
http://stacks.iop.org/0305-4470/21/1519;
http://stacks.iop.org/0305-4470/21/i=7/a=015",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Physics. A. Mathematical and General",
journal-URL = "http://iopscience.iop.org/1751-8121",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1988:MRT,
author = "J. M. Borwein and P. B. Borwein",
title = "More {Ramanujan}-type series for $ 1 / \pi $",
crossref = "Andrews:1988:RRP",
pages = "359--374",
year = "1988",
MRclass = "11Y60",
MRnumber = "938974",
MRreviewer = "Duncan A. Buell",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1988:RP,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "{Ramanujan} and {Pi}",
journal = j-SCI-AMER,
volume = "258",
number = "2",
pages = "112--117",
month = feb,
year = "1988",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0288-112",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/sciam1980.bib",
note = "Japanese edition (April 1988), Russian edition (April
1988), German edition (May 1988). Reprinted in
\cite{Borwein:1991:RP,Borwein:1996:SRZ,Borwein:2001:RP,Bailey:2016:PNG}.",
URL = "http://docserver.carma.newcastle.edu.au/1379/;
http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxnewdata = "1998.01.30",
}
@Article{Borwein:1988:VNS,
author = "J. M. Borwein and D. M. Zhuang",
title = "Verifiable necessary and sufficient conditions for
openness and regularity of set-valued and single-valued
maps",
journal = j-J-MATH-ANAL-APPL,
volume = "134",
number = "2",
pages = "441--459",
year = "1988",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(88)90034-0",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "90C48 (54C60 58C20 90C25)",
MRnumber = "961349",
MRreviewer = "Jean-Paul Penot",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1594/;
http://www.sciencedirect.com/science/article/pii/0022247X88900340",
abstract = "We provide several equivalences to the regularity of
closed set-valued maps around a point in general metric
settings. In particular, an easy to verify approximate
openness notion is shown equivalent to regularity. A
simple specialization of our theorem strengthens
Frankowska's novel ``open mapping principle.''",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Deutsch:1988:PSSa,
author = "Emeric Deutsch and Jonathan M. Borwein and Paul Cull
and G. Behrendt",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3159}",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "6",
pages = "557--558",
month = jun # "\slash " # jul,
year = "1988",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322769",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1541335",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:ACL,
author = "D. Borwein and J. M. Borwein and R. Shail",
title = "Analysis of certain lattice sums",
journal = j-J-MATH-ANAL-APPL,
volume = "143",
number = "1",
pages = "126--137",
year = "1989",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(89)90032-2",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "82A67 (11M99)",
MRnumber = "1019453",
MRreviewer = "A. K. Rajagopal",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1589/;
http://www.sciencedirect.com/science/article/pii/0022247X89900322",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:ARM,
author = "J. M. Borwein and P. B. Borwein",
title = "Approximating $ \pi $ with {Ramanujan}'s modular
equations",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "19",
number = "1",
pages = "93--102",
year = "1989",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1989-19-1-93",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "11Y35 (11F11 33E05)",
MRnumber = "1016163",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Constructive Function Theory---86 Conference
(Edmonton, AB, 1986).",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:ENP,
author = "Jonathan M. Borwein and Simon Fitzpatrick",
title = "Existence of nearest points in {Banach} spaces",
journal = j-CAN-J-MATH,
volume = "41",
number = "4",
pages = "702--720",
year = "1989",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1989-032-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46B20",
MRnumber = "1012624",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1582/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:HC,
author = "J. M. Borwein and H. M. Str{\'o}jwas",
title = "The hypertangent cone",
journal = j-NONLINEAR-ANAL,
volume = "13",
number = "2",
pages = "125--144",
year = "1989",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/0362-546X(89)90039-4",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "90C30 (47H99 49A52)",
MRnumber = "979036",
MRreviewer = "D{\cftil{o}} V{\u{a}}n Lu{\cprime}u",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1588/;
http://www.sciencedirect.com/science/article/pii/0362546X89900394",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "directional derivatives and subgradients;
directionally Lipschitzian functions; Discrete tangent
cone formulas; epi-Lipschitzian sets; inversion
theorems; mean value theorems",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:LBM,
author = "Jon Borwein and Simon Fitzpatrick",
title = "Local boundedness of monotone operators under minimal
hypotheses",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "39",
number = "3",
pages = "439--441",
year = "1989",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S000497270000335X",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "47H05",
MRnumber = "995141",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1590/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:LOC,
author = "J. M. Borwein and M. A. H. Dempster",
title = "The linear order complementarity problem",
journal = j-MATH-OP-RES,
volume = "14",
number = "3",
pages = "534--558",
year = "1989",
CODEN = "MOREDQ",
DOI = "https://doi.org/10.1287/moor.14.3.534",
ISSN = "0364-765x (print), 1526-5471 (electronic)",
ISSN-L = "0364-765X",
MRclass = "90C33 (47H99 90C48)",
MRnumber = "1008428",
MRreviewer = "Morgan A. Hanson",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1585/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/moor",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:MCK,
author = "Jonathan M. Borwein and Simon Fitzpatrick",
title = "{Mosco} convergence and the {Kadec} property",
journal = j-PROC-AM-MATH-SOC,
volume = "106",
number = "3",
pages = "843--851",
year = "1989",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2047444",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B20 (52A05 54C60)",
MRnumber = "969313",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1584/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:MI,
author = "J. M. Borwein and P. B. Borwein",
title = "On the Mean Iteration $ (a, b) \leftarrow \big (\frac
{a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $",
journal = j-MATH-COMPUT,
volume = "53",
number = "187",
pages = "311--326",
month = jul,
year = "1989",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008364",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "30D05 (33A25)",
MRnumber = "968148, 90a:30075",
MRreviewer = "Carl C. Cowen",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
URL = "http://docserver.carma.newcastle.edu.au/1586/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math. Stat. and Comput. Sci., Dalhousie
Univ., Halifax, NS, Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "computation; convergence of numerical methods;
converging process; iterative methods; iterative
process; limit; mean iteration; nontrivial
identifications; quadratically; symbolic; uniformizing
parameters",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1989:PEN,
author = "J. M. Borwein and P. B. Borwein and K. Dilcher",
title = "Pi, {Euler} numbers, and asymptotic expansions",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "8",
pages = "681--687",
year = "1989",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324715",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40A25 (11Y60 65B15)",
MRnumber = "1019148",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1583/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1989:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, modular equations, and approximations to
pi, or {How} to compute one billion digits of pi",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "3",
pages = "201--219",
month = mar,
year = "1989",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2325206",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11Y60 (01A60 11F03 33A25)",
MRnumber = "991866",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprinted in \cite{Bailey:1997:RME}.",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
https://www.jstor.org/stable/2325206;
https://web.archive.org/web/20170328083101",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Beer:1990:MCR,
author = "Gerald Beer and Jonathan M. Borwein",
title = "{Mosco} convergence and reflexivity",
journal = j-PROC-AM-MATH-SOC,
volume = "109",
number = "2",
pages = "427--436",
year = "1990",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2048005",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B10 (46B20 49J45 54B20 90C25)",
MRnumber = "1012924",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1581/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1990:BRG,
author = "Jonathan Borwein",
title = "Book Review: {{\booktitle{Generalized Concavity}}
(Mordecai Avriel, Walter E. Diewert, Siegfried
Schaible, and Israel Zang)}",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "689--690",
month = dec,
year = "1990",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1032140",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://epubs.siam.org/toc/siread/32/4;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "December 1990",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:1990:DRN,
author = "Jonathan Borwein and Peter B. Borwein",
title = "A dictionary of real numbers",
publisher = pub-WADSWORTH,
address = pub-WADSWORTH:adr,
pages = "viii + 424",
year = "1990",
DOI = "https://doi.org/10.1007/978-1-4615-8510-7",
ISBN = "0-534-12840-8",
ISBN-13 = "978-0-534-12840-1",
LCCN = "QA47.B625 1990",
MRclass = "11-00 (11Y60 11Y70)",
MRnumber = "1030542, 91g:11001",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
abstract = "This dictionary was designed for researchers who have
encountered various numbers computationally and want to
know if these numbers have simple form. The book is
structured as a reverse handbook of special function
values. It lists over 100,000 eight digit real numbers
in the interval (1,0) that arise as the first eight
digits of special values of familiar functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Maple",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
reviewer = "Jeffrey O. Shallit",
}
@Article{Borwein:1990:RCM,
author = "J. M. Borwein and P. B. Borwein",
booktitle = "Computational methods and function theory
({Valpara}{\'\i}so, 1989)",
title = "A remarkable cubic mean iteration",
journal = j-LECT-NOTES-MATH,
volume = "1435",
pages = "27--31",
year = "1990",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0087894",
ISBN = "3-540-52768-0 (print), 3-540-47139-1 (e-book)",
ISBN-13 = "978-3-540-52768-8 (print), 978-3-540-47139-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "33C05",
MRnumber = "1071759 (92b:33003)",
MRreviewer = "W. H. J. Fuchs",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0087894/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-DOI = "https://doi.org/10.1007/BFb0087892",
book-URL = "http://www.springerlink.com/content/978-3-540-47139-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1990:SDPa,
author = "J. M. Borwein",
editor = "Gustave Choquet and others",
booktitle = "S{\'e}minaire d'initiation {\`a} l'analyze",
title = "A survey of differentiability properties of convex,
{Lipschitz} and lsc functions",
publisher = "Publ. Math. Univ. Pierre et Marie Curie",
address = "Paris, France",
pages = "??--??",
year = "1990",
DOI = "",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Mon Aug 15 15:02:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "11",
remark = "The title in the PDF file is ``A Survey of Convex
Functions and Sequential Convergence'', with co-author
Jon D. Vanderwerff: is that a completely different
paper?",
}
@TechReport{Borwein:1990:SSH,
author = "J. M. Borwein and P. B. Borwein",
title = "Strange Series and High Precision Fraud",
type = "Preliminary Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University",
address = "Halifax, NS B3H 3J5, Canada",
pages = "28",
day = "4",
month = sep,
year = "1990",
MRclass = "11A99, 11A55 (primary), 65B10 (secondary)",
bibdate = "Fri Nov 11 07:05:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We present a variety of series some of which have
simple evaluations. Others appear to have simple
evaluations when computed to several hundred or even
several million digit precision, but are in fact
frauds. Many of these examples are based on series
whose terms involve digit sums and the integer part
function.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "approximation; continued fractions; digit series;
generating functions; high precision estimates; integer
parts; irrationality; Mahler's series; modular
transformations; transcendence",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Date recorded in ambiguous form 4/9/90; entry
Borwein:1988:CCJ has 31/12/88, suggesting that the
first number is the day.",
}
@Article{Knuth:1990:PSSa,
author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
Borwein and P. B. Borwein",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3335}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "10",
pages = "927",
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1541809",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "2-8&origin=MSN;
http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Knuth:1990:PSSb,
author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
Borwein and P. B. Borwein",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3335}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "10",
pages = "927",
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1541809",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "2-8&origin=MSN;
http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Knuth:1990:PSSc,
author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
Borwein and P. B. Borwein",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3335}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "10",
pages = "927--927",
month = dec,
year = "1990",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324339",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Rudin:1989:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borowski:1991:HDM,
author = "E. J. Borowski and J. M. Borwein",
title = "The {HarperCollins} dictionary of mathematics",
publisher = "HarperPerennial",
address = "New York, NY, USA",
pages = "xii + 659",
year = "1991",
ISBN = "0-06-461019-5, 0-00-434347-6 (paperback)",
ISBN-13 = "978-0-06-461019-3, 978-0-00-434347-1 (paperback)",
LCCN = "QA5 B67 1989",
MRclass = "00A20",
MRnumber = "1210061",
MRreviewer = "F. J. Papp",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "With the assistance of J. F. Bowers, A. Robertson and
M. McQuillan, Revised reprint of the 1988 original
\cite{Borowski:1988:DM}.",
URL = "http://docserver.carma.newcastle.edu.au/1738/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Translations: Chinese (1995), Indonesian (Erlanga
Penerbit, 1995), Italian (Gremese Editore) 1995, Arabic
(Academia International) 1991",
}
@Article{Borwein:1991:CBE,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Convergence of best entropy estimates",
journal = j-SIAM-J-OPT,
volume = "1",
number = "2",
pages = "191--205",
year = "1991",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/0801014",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "41A46 (28A20 28D20)",
MRnumber = "1098426",
MRreviewer = "Tiberiu Constantinescu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1576/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:CCJ,
author = "J. M. Borwein and P. B. Borwein",
title = "A cubic counterpart of {Jacobi}'s identity and the
{AGM}",
journal = j-TRANS-AM-MATH-SOC,
volume = "323",
number = "2",
pages = "691--701",
month = feb,
year = "1991",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2001551",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "33C75 (11F11 11Y60 33C05)",
MRnumber = "1010408",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1578/;
https://www.jstor.org/stable/2001551",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:CMP,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "On the convergence of moment problems",
journal = j-TRANS-AM-MATH-SOC,
volume = "325",
number = "1",
pages = "249--271",
month = may,
year = "1991",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2001670",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "44A60 (90C90)",
MRnumber = "1008695",
MRreviewer = "Tiberiu Constantinescu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1579/;
https://www.jstor.org/stable/2001670",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1991:DPC,
author = "Jonathan M. Borwein",
booktitle = "S{\'e}minaire d'Initiation {\`a} l'Analyse",
title = "Differentiability properties of convex, of
{Lipschitz}, and of semicontinuous mappings on {Banach}
spaces",
volume = "104(19)",
publisher = "Universit{\'e} de Paris VI",
address = "Paris, France",
pages = "1--11",
year = "1991",
MRclass = "46G05 (26E15 46B20 46N10 49J50 58C20)",
MRnumber = "1217320",
MRreviewer = "Saheb Dayal",
bibdate = "Fri Oct 13 14:59:36 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Publ. Math. Univ. Pierre et Marie Curie",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:DRE,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Duality relationships for entropy-like minimization
problems",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "29",
number = "2",
pages = "325--338",
year = "1991",
CODEN = "SJCODE",
DOI = "https://doi.org/10.1137/0329017",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "49N15 (90C29 90C48)",
MRnumber = "1092730",
MRreviewer = "C. P. Ortlieb",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1577/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:FPI,
author = "David Borwein and Jonathan Borwein",
title = "Fixed point iterations for real functions",
journal = j-J-MATH-ANAL-APPL,
volume = "157",
number = "1",
pages = "112--126",
year = "1991",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(91)90139-Q",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "65H05 (39B12)",
MRnumber = "1109446",
MRreviewer = "Joe Thrash",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022247X9190139Q",
abstract = "We give proofs of general results on the computation
of fixed points of a continuous function or a Lipschitz
function on the real line. We also show how completely
these results can fail to hold in spaces of more than
one dimension.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1991:MCS,
author = "J. M. Borwein",
editor = "Michael A. Th{\'e}ra and Jean-Bernard Baillon",
booktitle = "Fixed point theory and applications: proceedings of
the {International Conference on Fixed Point Theory and
Applications, held at CIRM (Centre International de
Rencontres Math{\'e}matiques) located in the campus of
the University of Marseille-Luminy, June 5--9, 1989}",
title = "Minimal {CUSCOS} and subgradients of {Lipschitz}
functions",
volume = "252",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "57--81",
year = "1991",
ISBN = "0-582-08063-0 (Harlow), 0-470-21759-6 (New York)",
ISBN-13 = "978-0-582-08063-8 (Harlow), 978-0-470-21759-7 (New
York)",
LCCN = "QA329.9 .F58 1991",
MRclass = "46G05 (47H04 49J52)",
MRnumber = "1122818",
MRreviewer = "Doug Ward",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:MCU,
author = "Jonathan Borwein and Simon Fitzpatrick and Petar
Kenderov",
title = "Minimal convex uscos and monotone operators on small
sets",
journal = j-CAN-J-MATH,
volume = "43",
number = "3",
pages = "461--476",
year = "1991",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1991-028-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46G05 (47H05 54C99)",
MRnumber = "1118004",
MRreviewer = "Doug Ward",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1573/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:NR,
author = "Jonathan M. Borwein and G. de Barra",
title = "Nested radicals",
journal = j-AMER-MATH-MONTHLY,
volume = "98",
number = "8",
pages = "735--739",
year = "1991",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324426",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A99 (11Y55 39A10 40A05)",
MRnumber = "1130684",
MRreviewer = "Heinrich Rolletschek",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1580/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1991:PCF,
author = "Jonathan M. Borwein and Adrian S. Lewis",
editor = "J-B. Baillon and M. Th{\'e}ra",
booktitle = "Fixed point theory and applications ({Marseille},
1989)",
title = "Practical conditions for {Fenchel} duality in infinite
dimensions",
volume = "252",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "83--89",
year = "1991",
MRclass = "49N15 (46G99 90C45 90C48)",
MRnumber = "1122819",
MRreviewer = "Blagun Kalchev",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Pitman Lecture Notes in Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxseries = "Pitman Res. Notes Math. Ser.",
}
@InCollection{Borwein:1991:RP,
author = "Jonathan M. Borwein",
title = "{Ramanujan} and {Pi}",
crossref = "Ferris:1991:WTP",
pages = "647--659",
year = "1991",
bibdate = "Fri Aug 12 15:11:12 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1379/;
https://web.archive.org/web/20170227063951/",
abstract = "This contribution highlights the progress made
regarding Ramanujan's work on Pi since the centennial
of his birth in 1987.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxauthor = "Jonathan M. Borwein and Peter B. Borwein",
}
@Article{Borwein:1991:SEC,
author = "J. M. Borwein and D. M. Zhuang",
title = "Super efficiency in convex vector optimization",
journal = j-Z-OPER-RES,
volume = "35",
number = "3",
pages = "175--184",
year = "1991",
CODEN = "ZMMRFZ",
DOI = "https://doi.org/10.1007/BF01415905",
ISSN = "0340-9422",
MRclass = "90C29",
MRnumber = "1114290",
MRreviewer = "Emil Iwanow",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/BF01415905",
acknowledgement = ack-nhfb,
ajournal = "Z. Oper. Res.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical
Methods of Operations Research",
journal-URL = "http://link.springer.com/journal/186",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1991:SGB,
author = "J. M. Borwein and P. B. Borwein",
title = "A singular genius: [book review] {{\booktitle{The Man
Who Knew Infinity. A Life of the Indian Genius
Ramanujan}}. Robert Kanigel, Scribner, New York, 1991.
x + 438 pp. + plates, \$27.95}",
journal = j-SCIENCE,
volume = "253",
number = "5017",
pages = "334--335",
day = "19",
month = jul,
year = "1991",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.253.5017.334",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Wed Aug 10 18:35:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2879085;
http://www.ncbi.nlm.nih.gov/pubmed/17794700",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Science (New York, NY)",
journal-URL = "http://www.sciencemag.org/archive/",
onlinedate = "19 July 1991",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
publisherinfo = "17794700 ER",
}
@Article{Borwein:1992:ASW,
author = "Jonathan Borwein and Shi Tuo Lou",
title = "Asymptotics of a sequence of {Witt} vectors",
journal = j-J-APPROX-THEORY,
volume = "69",
number = "3",
pages = "326--337",
year = "1992",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(92)90006-A",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "05A16 (05E05 05E10 13K05)",
MRnumber = "1164995",
MRreviewer = "Jiang Zeng",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1565/;
http://www.sciencedirect.com/science/article/pii/002190459290006A",
abstract = "We provide asymptotic and order information about the
Witt vectors and integers dn appearing in \prod n\le
111 + dn(tnn|)=(1-t)et.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:BRS,
author = "Jonathan Borwein",
title = "Book Review: {{\booktitle{Set-valued analysis}}, J-P.
Aubin and H. Frankowska}",
journal = j-BULL-AMS-N-S,
volume = "26",
number = "1",
pages = "157--160",
year = "1992",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0273-0979-1992-00246-X",
ISSN = "0273-0979 (print), 1088-9485 (electronic)",
ISSN-L = "0273-0979",
MRnumber = "1567970",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Society. Bulletin. New Series",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:DMF,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Decomposition of multivariate functions",
journal = j-CAN-J-MATH,
volume = "44",
number = "3",
pages = "463--482",
year = "1992",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1992-030-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "54C05 (05C38 08A45 22C05 26B40 28A20)",
MRnumber = "1176365",
MRreviewer = "Douglass L. Grant",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1569/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:FEG,
author = "J. M. Borwein and I. J. Zucker",
title = "Fast evaluation of the gamma function for small
rational fractions using complete elliptic integrals of
the first kind",
journal = j-IMA-J-NUMER-ANAL,
volume = "12",
number = "4",
pages = "519--526",
year = "1992",
CODEN = "IJNADN",
DOI = "https://doi.org/10.1093/imanum/12.4.519",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D20",
MRnumber = "1186733",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:KMI,
author = "Jonathan Borwein and Simeon Reich and Itai Shafrir",
title = "{Krasnosel'ski--Mann} iterations in normed spaces",
journal = j-CAN-MATH-BULL,
volume = "35",
number = "1",
pages = "21--28",
year = "1992",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1992-003-0",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "47H09 (47H10 47H17)",
MRnumber = "1157459",
MRreviewer = "Gregory B. Passty",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:MHP,
author = "Jonathan M. Borwein and Mark A. Limber",
title = "{Maple} as a High Precision Calculator",
journal = j-MAPLE-TECH-NEWS,
volume = "0",
number = "8",
pages = "39--44",
month = "Fall",
year = "1992",
ISSN = "1061-5733",
ISSN-L = "1061-5733",
bibdate = "Fri May 09 22:33:19 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
URL = "http://www.can.nl/Systems_and_Packages/Per_Purpose/General/Maple/mtn/mtn8.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Maple technical newsletter",
journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:PFCa,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Partially finite convex programming. {I}. {Quasi}
relative interiors and duality theory",
journal = j-MATH-PROG,
volume = "57",
number = "1--3",
pages = "15--48",
year = "1992",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01581072",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C48 (49J15 65K05 90C25)",
MRnumber = "1167406",
MRreviewer = "M. Teboulle",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1571/;
http://link.springer.com/article/10.1007/BF01581072",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:PFCb,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Partially finite convex programming, {Part II}:
Explicit lattice models",
journal = j-MATH-PROG,
volume = "57",
number = "1--3",
pages = "49--83",
year = "1992",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01581073",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C48 (49N15 65K05 90C25)",
MRnumber = "1167407",
MRreviewer = "M. Teboulle",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1572/;
http://link.springer.com/article/10.1007/BF01581073",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1992:SDP,
author = "J. M. Borwein",
title = "Differentiability properties of convex, of
{Lipschitz}, and of semicontinuous mappings on {Banach}
spaces",
crossref = "Ioffe:1992:ONA",
pages = "39--52",
year = "1992",
ISBN = "0-582-08065-7 (paperback), 0-470-21943-2",
ISBN-13 = "978-0-582-08065-2 (paperback), 978-0-470-21943-0",
ISSN = "0269-3674",
ISSN-L = "0269-3674",
LCCN = "QA402.5 .O6424 1991",
MRclass = "49J50 (46B20 46G05 47H99)",
MRnumber = "1184630",
MRreviewer = "Julian Revalski",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Pitman research notes in mathematics series",
URL = "",
ZMnumber = "0745.00050",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "A survey of differentiability properties of convex,
{Lipschitz} and lsc functions",
}
@InCollection{Borwein:1992:SEC,
author = "J. M. Borwein and A. {Ben Tal} and M. Teboulle",
title = "Spectral estimation via convex programming",
crossref = "Phillips:1992:SMS",
pages = "275--290",
year = "1992",
bibdate = "Mon Aug 15 14:57:23 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:SOC,
author = "Jonathan Borwein and Peter B. Borwein",
title = "Some Observations on Computer Aided Analysis",
journal = j-NAMS,
volume = "39",
number = "8",
pages = "825--829",
month = oct,
year = "1992",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
URL = "http://www.ams.org/journals/notices/199210/199210FullIssue.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:SSH,
author = "J. M. Borwein and P. B. Borwein",
title = "Strange Series and High Precision Fraud",
journal = j-AMER-MATH-MONTHLY,
volume = "99",
number = "7",
pages = "622--640",
month = aug # "\slash " # sep,
year = "1992",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324993",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40-01 (40A05 40A25)",
MRnumber = "1176589, 93f:40001",
MRreviewer = "John A. Fridy",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See also subsequent work \cite{Bradshaw:2024:DIV}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1992:STS,
author = "J. M. Borwein and M. Th{\'e}ra",
title = "Sandwich theorems for semicontinuous operators",
journal = j-CAN-MATH-BULL,
volume = "35",
number = "4",
pages = "463--474",
year = "1992",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1992-061-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "54C08 (46A99 54C60 54C65 54F05)",
MRnumber = "1191505",
MRreviewer = "P. Maritz",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Cook:1992:PSS,
author = "Matthew Cook and Walther Janous and Marcin E. Kuczma
and David Borwein",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3388}",
journal = j-AMER-MATH-MONTHLY,
volume = "99",
number = "1",
pages = "69--70",
month = jan,
year = "1992",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324561",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See also \cite{Sturm:1990:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:1993:EEE,
author = "David H. Bailey and Jonathan M. Borwein and Roland
Girgensohn",
title = "Experimental evaluation of {Euler} sums",
type = "Technical Report",
number = "RNR-93-014",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "24",
day = "20",
month = oct,
year = "1993",
bibdate = "Thu Sep 01 13:58:44 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/60",
abstract = "In response to a letter from Goldbach, Euler
considered sums of the form\par
$$ \sum_{k = 1}^\infty \big (1 + \frac {1}{2^m} +
\cdots + \frac {1}{k^m} \big) (k + 1)^{-n} $$ \par
for positive integers $m$ and $n$. Euler was able to
give explicit values for certain of these sums in terms
of the Riemann zeta function. In a recent companion
paper, Euler's results were extended to a significantly
larger class of sums of this type, including sums with
alternating signs.\par
This research was facilitated by numerical computations
using an algorithm that can determine, with high
confidence, whether or not a particular numerical value
can be expressed as a rational linear combination of
several given constants. The present paper presents the
numerical techniques used in these computations and
lists many of the experimental results that have been
obtained.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:1993:CNA,
author = "H. H. Bauschke and J. M. Borwein",
title = "On the convergence of {von Neumann}'s alternating
projection algorithm for two sets",
journal = j-SET-VALUED-ANAL,
volume = "1",
number = "2",
pages = "185--212",
year = "1993",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/BF01027691",
ISSN = "0927-6947 (print), 1572-932X (electronic)",
ISSN-L = "0927-6947",
MRclass = "65J05 (41A65 47H17 65K10)",
MRnumber = "1239403",
MRreviewer = "F. Deutsch",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1555/;
http://link.springer.com/article/10.1007/BF01027691",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Beer:1993:MSC,
author = "Gerald Beer and Jonathan M. Borwein",
title = "{Mosco} and Slice Convergence of Level Sets and Graphs
of Linear Functionals",
journal = j-J-MATH-ANAL-APPL,
volume = "175",
number = "1",
pages = "53--67",
year = "1993",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.1993.1151",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "46B99 (46N10 49J45 54A20)",
MRnumber = "1216744",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1562/;
http://www.sciencedirect.com/science/article/pii/S0022247X83711510",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:ASS,
author = "J. M. Borwein",
title = "{Asplund} spaces are sequentially reflexive",
year = "1993",
bibdate = "Fri Aug 12 14:17:01 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Accepted for publication in the Canadian Journal of
Mathematics, but withdrawn and merged with another
paper. Jon Borwein recorded that as publication number
121, but because the article numbers changed with each
update of his CV, that number has long been
incorrect.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Research Report CORR 91-14.",
}
@Article{Borwein:1993:CDS,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Convergence of decreasing sequences of convex sets in
nonreflexive {Banach} spaces",
journal = j-SET-VALUED-ANAL,
volume = "1",
number = "4",
pages = "355--363",
year = "1993",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/BF01027825",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J45 (46N10)",
MRnumber = "1267202",
MRreviewer = "Roberto Lucchetti",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1551/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:CEU,
author = "J. M. Borwein and R. K. Goodrich and M. A. Limber",
title = "A comparison of entropies in the underdetermined
moment problem",
month = may,
year = "1993",
bibdate = "Tue Aug 16 10:06:18 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:CFH,
author = "J. M. Borwein and M. Fabi{\'a}n",
title = "On convex functions having points of {G{\^a}teaux}
differentiability which are not points of {Fr}{\'e}chet
differentiability",
journal = j-CAN-J-MATH,
volume = "45",
number = "6",
pages = "1121--1134",
year = "1993",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1993-062-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46B20 (46B03)",
MRnumber = "1247537",
MRreviewer = "Gilles Godefroy",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1552/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:CNT,
author = "J. M. Borwein and P. B. Borwein",
title = "Class number three {Ramanujan} type series for $ 1 /
\pi $",
journal = j-J-COMPUT-APPL-MATH,
volume = "46",
number = "1--2",
pages = "281--290",
day = "14",
month = jun,
year = "1993",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(93)90302-R",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "11Y60 (11R11)",
MRnumber = "1222488",
MRreviewer = "Andrew Granville",
bibdate = "Sat Feb 25 12:20:57 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
note = "Computational complex analysis.",
URL = "http://docserver.carma.newcastle.edu.au/1560/;
http://www.sciencedirect.com/science/article/pii/037704279390302R",
abstract = "There is a class of remarkable series for $ 1 / \pi $
of the form $ \sqrt {-C^3} / \pi = \sum_{n = 0}^\infty
\frac {A + n B}{C^{3 n}} \frac {(6n)!}{(3n)!(n!)^3} $
where $A$, $B$, $C$ are certain algebraic numbers.
These were first examined by Ramanujan. These examples
arise by computing singular invariants for j and the
constants involved will have degree equal to the class
number of the associated imaginary quadratic field. Our
intention is compute all such class number three
examples. The largest such example, with discriminant $
- 907$, adds $ 37$ additional digit accuracy per term.
A class number four example with discriminant $ 1555$
gives $ 50$ digits per term.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
keywords = "class number; pi; Ramanujan; series",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:DKK,
author = "J. M. Borwein and J. Vanderwerff",
title = "Dual {Kadec--Klee} norms and the relationships between
{Wijsman}, slice and {Mosco} convergence",
journal = "ArXiv Mathematics e-prints",
month = feb,
year = "1993",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1993math......2212B",
abstract = "In this paper, we completely settle several of the
open questions regarding the relationships between the
three most fundamental forms of set convergence. In
particular, it is shown that Wijsman and slice
convergence coincide precisely when the weak star and
norm topologies agree on the dual sphere. Consequently,
a weakly compactly generated Banach space admits a
dense set of norms for which Wijsman and slice
convergence coincide if and only if it is an Asplund
space. We also show that Wijsman convergence implies
Mosco convergence precisely when the weak star and
Mackey topologies coincide on the dual sphere. A
corollary of these results is that given a fixed norm
on an Asplund space, Wijsman and slice convergence
coincide if and only if Wijsman convergence implies
Mosco convergence.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/9302212",
keywords = "Mathematics - Functional Analysis, 46B",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1993:FAS,
author = "Jon Borwein and Jon Vanderwerff",
title = "Further arguments for slice convergence in
nonreflexive spaces",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "18",
day = "6",
month = nov,
year = "1993",
MRclass = "52A41 (40A30, 46A55, 46B20)",
bibdate = "Thu Sep 01 14:11:31 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/62",
abstract = "It is shown that no notion of set convergence at least
as strong as Wijsman convergence but not as strong as
slice convergence can be preserved in superspaces. We
also show that such intermediate notions of convergence
do not always admit representations analogous to those
given by Attouch and Beer for slice convergence, and
provide a valid reformulation. Some connections between
bornologies and the relationships between certain gap
convergences for nonconvex sets are also observed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:FME,
author = "Jonathan M. Borwein",
title = "On the failure of maximum entropy reconstruction for
{Fredholm} equations and other infinite systems",
journal = j-MATH-PROG,
volume = "61",
number = "2, Ser. A",
pages = "251--261",
year = "1993",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/BF01582150",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "94A12 (45B05 47N99 90C48)",
MRnumber = "1240460",
MRreviewer = "Henry Wolkowicz",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1559/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:GFI,
author = "J. M. Borwein and P. B. Borwein",
title = "On the generating function of the integer part: $ [n
\alpha + \gamma] $",
journal = j-J-NUMBER-THEORY,
volume = "43",
number = "3",
pages = "293--318",
year = "1993",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1006/jnth.1993.1023",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "11J70 (11J91)",
MRnumber = "1212686",
MRreviewer = "A. J. van der Poorten",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1564/;
http://www.sciencedirect.com/science/article/pii/S0022314X83710231",
abstract = "We show that [long displayed formula]. Here $ p_n $
and $ q_n $ are the numerators and denominators of the
convergents of the continued fraction expansion of $
\alpha $ and $ t^n $ and $ s^n $ are particular
algorithmically generated sequences of best
approximates for the non-homogeneous Diophantine
approximation problem of minimizing $ |n \alpha +
\gamma - m| $. This generalizes results of B{\"o}hmer
and Mahler, who considered the special case where $
\gamma = 0 $. This representation allows us to easily
derive various transcendence results. For example, $
\sum^\infty_{n = 1} [n e + 12] / (2 n) $ is a Liouville
number. Indeed the first series is Liouville for
rational $z$, $ w \subset [ - 1, 1]$ with $ |z w| \neq
1$ provided $ \alpha $ has unbounded continued fraction
expansion. A second application, which generalizes a
theorem originally due to Lord Raleigh, is to give a
new proof of a theorem of Fraenkel, namely $ [n \alpha
+ \gamma]^\infty_{n = 1}$ and $ [n \alpha \prime +
\gamma \prime]^\infty_{n = 1}$ partition the
non-negative integers if and only if $ 1 / \alpha + 1 /
\alpha \prime = 1$ and $ \gamma / \alpha + \gamma
\prime / \alpha \prime = 0$ (provided some sign and
integer independence conditions are placed on $ \alpha
$, $ \beta $, $ \gamma $, $ \gamma \prime $). The
analysis which leads to the results is quite delicate
and rests heavily on a functional equation for $G$. For
this a natural generalization of the simple continued
fraction to Kronecker's forms $ |n \alpha + \gamma -
m|$ is required.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:GSO,
author = "J. M. Borwein and M. Fabi{\'a}n",
title = "On generic second-order {G{\^a}teaux}
differentiability",
journal = j-NONLINEAR-ANAL,
volume = "20",
number = "12",
pages = "1373--1382",
year = "1993",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/0362-546X(93)90166-P",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "46G05 (26E15 49J50 58C20)",
MRnumber = "1225345",
MRreviewer = "Marcin Studniarski",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1563/;
http://www.sciencedirect.com/science/article/pii/0362546X9390166P",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "residual space; second-order difference quotient;
Separable space; twice G{\^a}teaux differentiability",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Research Report CORR 91-18.",
}
@Article{Borwein:1993:HAA,
author = "J. Borwein and P. Borwein and F. Garvan",
title = "Hypergeometric analogues of the arithmetic--geometric
mean iteration",
journal = j-CONST-APPROX,
volume = "9",
number = "4",
pages = "509--523",
year = "1993",
DOI = "https://doi.org/10.1007/BF01204654",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "33C05",
MRnumber = "1237931",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1556/;
http://link.springer.com/article/10.1007/BF01204654",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:ICM,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Inequalities for Compound Mean Iterations with
Logarithmic Asymptotes",
journal = j-J-MATH-ANAL-APPL,
volume = "177",
number = "2",
pages = "572--582",
year = "1993",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.1993.1278",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "33B99",
MRnumber = "1231502",
MRreviewer = "P. Anandani",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1553/;
http://www.sciencedirect.com/science/article/pii/S0022247X83712783",
abstract = "We consider the compound means arising as limits from
the arithmetic--geometric mean iteration and related
iterations. Each of these iterations possesses a
logarithmic asymptote. We show that these limit means
satisfy very precise inequalities. These can be deduced
in a quite uniform fashion from a `comparison lemma'
for compound means.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:LLFa,
author = "J. M. Borwein and M. Fabian and J. Vanderwerff",
title = "Locally {Lipschitz} Functions and Bornological
Derivatives",
journal = "ArXiv Mathematics e-prints",
pages = "13",
month = feb,
year = "1993",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1993math......2211B;
http://docserver.carma.newcastle.edu.au/69/",
abstract = "We study the relationships between G{\^a}teaux, weak
Hadamard and Frechet differentiability and their
bornologies for Lipschitz and for convex functions. In
particular, Frechet and weak Hadamard differentiability
coincide for all Lipschitz functions if and only if the
space is reflexive (an earlier paper of the first two
authors shows that these two notions of
differentiability coincide for continuous convex
functions if and only if the space does not contain a
copy of $ \ell_1$). We also examine when G{\^a}teaux
and weak Hadamard differentiability coincide for
continuous convex functions. For instance, spaces with
the Dunford--Pettis (Schur) property can be
characterized by the coincidence of G{\^a}teaux and
weak Hadamard (Frechet) differentiability for dual
norms.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/9302211",
keywords = "Mathematics - Functional Analysis, 46B",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1993:LLFb,
author = "Jonathan M. Borwein and Marian Fabian and Jon
Vanderwerff",
title = "Locally {Lipschitz} functions and bornological
derivatives",
type = "CECM Research Report",
number = "93:012",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "13",
day = "15",
month = dec,
year = "1993",
MRclass = "46A17, 46G05, 58C20 (46B20)",
bibdate = "Tue Aug 16 10:06:43 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/69/",
abstract = "We study the relationships between Gateaux, Weak
Hadamard and Fr{\'e}chet differentiability and their
bornologies for Lipschitz and for convex functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:MMB,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Mathematical Malaises: Book Review: {{\booktitle{Pi in
the sky: counting, thinking and being}}, John D.
Barrow. Clarendon (Oxford University Press), New York,
1992. xii, 317 pp., illus. \$25}",
journal = j-SCIENCE,
volume = "259",
number = "5103",
pages = "1928--1930",
day = "26",
month = mar,
year = "1993",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.259.5103.1928.a",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 03 09:11:44 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ncbi.nlm.nih.gov/pubmed/17836254;
https://www.science.org/doi/10.1126/science.259.5103.1928.a",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Science (New York, N.Y.)",
journal-URL = "http://www.sciencemag.org/archive/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
report-number = "Borwein, Jonathan/A-6082-2009",
xxDOI = "https://doi.org/10.1126/science.259.5103.1928",
}
@Article{Borwein:1993:PFP,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Partially-finite programming in {$ L_1 $} and the
existence of maximum entropy estimates",
journal = j-SIAM-J-OPT,
volume = "3",
number = "2",
pages = "248--267",
year = "1993",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/0803012",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "90C48 (49N15 65K05)",
MRnumber = "1215444",
MRreviewer = "M. Teboulle",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1558/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:PSPa,
author = "Jonathan M. Borwein",
title = "Problems and Solutions: Problems: 10281",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "1",
pages = "76--77",
month = jan,
year = "1993",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324828",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:PSPb,
author = "David Borwein and Jonathan Borwein",
title = "Problems and Solutions: Problems: 10335",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "8",
pages = "796--798",
month = oct,
year = "1993",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324793",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1993:SCR,
author = "Jonathan M. Borwein and Adrian S. Lewis",
editor = "A. Mohammad-Djafari and G. Demoments",
booktitle = "Maximum entropy and {Bayesian} methods ({Paris},
1992)",
title = "A Survey of Convergence Results for Maximum Entropy
Methods",
volume = "53",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "39--48",
year = "1993",
DOI = "https://doi.org/10.1007/978-94-017-2217-9_5",
MRclass = "49J45 (41A30 42A10)",
MRnumber = "1269789",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Fund. Theories Phys.",
URL = "http://link.springer.com/chapter/10.1007/978-94-017-2217-9_5",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Research Report CORR 92-32.",
}
@Article{Borwein:1993:SEV,
author = "J. M. Borwein and D. Zhuang",
title = "Super efficiency in vector optimization",
journal = j-TRANS-AM-MATH-SOC,
volume = "338",
number = "1",
pages = "105--122",
year = "1993",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2154446",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "90C29 (52A41)",
MRnumber = "1098432",
MRreviewer = "Bernard Lemaire",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1993:WHS,
author = "Jonathan M. Borwein and Simon Fitzpatrick",
title = "A weak {Hadamard} smooth renorming of {$ L_1 (\Omega,
\mu) $}",
journal = j-CAN-MATH-BULL,
volume = "36",
number = "4",
pages = "407--413",
year = "1993",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1993-055-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "46B25 (46B03 46B20 46E30)",
MRnumber = "1245313",
MRreviewer = "W. A. J. Luxemburg",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://cms.math.ca/10.4153/CMB-1993-055-5;
http://docserver.carma.newcastle.edu.au/1554/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1993:WSC,
author = "Jonathan Borwein and Simon Fitzpatrick",
title = "Weak sequential compactness and bornological limit
derivatives",
type = "Report",
institution = "Department of Mathematics and Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "10",
day = "7",
month = sep,
year = "1993",
bibdate = "Thu Sep 01 13:54:08 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/58/2/93_001-Borwein-Borwein-Girgensohn.pdf",
abstract = "In this note we give a self-contained account of the
relationship between the sequential and topological
constructions of bornological limit derivatives for
locally Lipschitzian real-valued functions on Banach
spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Byerly:1993:PSP,
author = "Robert E. Byerly and Murray S. Klamkin and A. Liu and
Stephen M. {Gagola, Jr.} and L. E. Mattics and Raphael
M. Robinson and M. Al-Ahmar and Donald E. Knuth and
Jonathan M. Borwein",
title = "Problems and Solutions: Problems: 10274--10281",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "1",
pages = "75--77",
year = "1993",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324823",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1542259",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Hirschhorn:1993:CAJ,
author = "Michael Hirschhorn and Frank Garvan and Jon Borwein",
title = "Cubic analogues of the {Jacobian} theta function $
\theta (z, q) $",
journal = j-CAN-J-MATH,
volume = "45",
number = "4",
pages = "673--694",
month = "????",
year = "1993",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1993-038-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "33D10 (11F27)",
MRnumber = "1227653",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cjm/v45/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
URL = "http://docserver.carma.newcastle.edu.au/1557/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Richter:1993:PSP,
author = "R. Bruce Richter and Josef Siran and Carl Pomerance
and Kiran S. Kedlaya and Michael Golomb and John Sarli
and David Borwein and Jonathan Borwein and Ignacy I.
Kotlarski and Horst Alzer",
title = "Problems and Solutions: Problems: 10330--10337",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "8",
pages = "796--798",
year = "1993",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324792",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1542408",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:1994:EEEb,
author = "David H. Bailey and Jonathan M. Borwein and Roland
Girgensohn",
title = "Experimental evaluation of {Euler} sums",
journal = j-EXP-MATH,
volume = "3",
number = "1",
pages = "17--30",
year = "1994",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.1994.10504573",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60",
MRnumber = "1302815",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/60/;
http://projecteuclid.org/euclid.em/1062621000",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:1994:DAP,
author = "H. H. Bauschke and J. M. Borwein",
title = "{Dykstra}'s alternating projection algorithm for two
sets",
journal = j-J-APPROX-THEORY,
volume = "79",
number = "3",
pages = "418--443",
year = "1994",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1006/jath.1994.1136",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A65 (46N10 47N10)",
MRnumber = "1305442",
MRreviewer = "F. Deutsch",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1543/;
http://www.sciencedirect.com/science/article/pii/S0021904584711361",
abstract = "We analyze Dykstra's algorithm for two arbitrary
closed convex sets in a Hilbert space. Our technique
also applies to von Neumann's algorithm. Various
convergence results follow. An example allows one to
compare qualitative and quantitative behaviour of the
two algorithms. We discuss the case of finitely many
sets.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1994:MCP,
author = "H. H. Bauschke and J. M. Borwein and A. S. Lewis",
title = "On the method of cyclic projections for convex sets in
{Hilbert} space",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "51",
day = "10",
month = feb,
year = "1994",
MRclass = "47H09, 4OM45, 65-02, 65J05, 90C25 (26B25, 41A65,
46C99, 46N10, 47N10, 52A05, 52A41, 65F10, 65KO05,
90C90, 92C55)",
bibdate = "Thu Sep 01 14:51:27 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/77",
abstract = "The method of cyclic projections 1s a powerful tool
for solving convex feasibility problems in Hilbert
space. Although in many applications, in particular in
the field of image reconstruction (electron microscopy,
computed tomography), the convex constraint sets do not
necessarily intersect, the method of cyclic projections
is still employed. Results on the behaviour of the
algorithm for this general case are improved, unified,
and reviewed. The analysis relies on key concepts from
convex analysis and the theory of nonexpansive
mappings. The notion of the angle of a tuple of
subspaces is introduced. New linear convergence results
follow for the case when the constraint sets are closed
subspaces whose orthogonal complements have a closed
sum; this holds, in particular, for hyperplanes or in
Euclidean space.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "angle; computerized tomography; convex feasibility
problem; convex polyhedron; convex set; Fej{\'e}r
monotone sequence; Hilbert space; image reconstruction;
Kaczmarz s method; method of cyclic projections;
nearest point mapping; nonexpansive map",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:BSA,
author = "J. M. Borwein and J. D. Vanderwerff",
title = "{Banach} spaces that admit support sets",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "6",
day = "10",
month = jul,
year = "1994",
bibdate = "Thu Sep 01 15:46:06 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/87",
abstract = "It is shown that the existence of a closed convex set
all of whose points are properly supported in a Banach
space is equivalent to the existence of a certain type
of uncountable ordered one-sided biorthogonal system.
Under the continuum hypothesis, we deduce that this
notion is weaker than the existence of an uncountable
biorthogonal system.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:CCS,
author = "Jonathan Borwein and Simon Fitzpatrick",
title = "Characterization of {Clarke} subgradients among
one-dimensional multifunctions",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "14",
day = "2",
month = feb,
year = "1994",
bibdate = "Thu Sep 01 09:17:17 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1995:CCS}.",
URL = "http://docserver.carma.newcastle.edu.au/23/",
abstract = "We introduce the notions of an robustly lower
semicontinuous and an robustly upper semicontinuous
function of a real variable. The Clarke subgradients of
locally Lipschitz functions on an open interval $I$ are
shown to be exactly those multifunctions on $I$ of the
form $ [\alpha (x), \beta (x)]$ where $ \alpha $ is
robustly lower semicontinuous and $ \beta $ is robustly
upper semicontinuous on $I$. The approximate and
symmetric subgradients of locally Lipschitz functions
on $I$ are also characterized.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:CFS,
author = "Jon Borwein and Jon Vanderwerff",
title = "Convex Functions on ``Sequentially Reflexive''
{Banach} Spaces",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "11",
day = "14",
month = sep,
year = "1994",
bibdate = "Wed Aug 31 09:48:34 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/115/2/95_050-Borwein-Vanderwerff.pdf",
abstract = "There is a sizeable class of results precisely
relating boundedness, convergence and differentiability
properties of continuous convex functions on Banach
spaces to whether or not the space contains an
isomorphic copy of $ \ell_1 $. In this note, we provide
constructions showing that the main such results do not
extend to natural broader classes of functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:CMI,
author = "Jonathan Borwein",
title = "A convergent mean iteration: a proof that {$ x_n
\coloneq M(x_{n - 1}, x_{n - 2}, \cdots, x_{n - k}) $}
converges",
journal = j-AEQUATIONES-MATHEMATICAE,
volume = "47",
number = "1",
pages = "115--118",
year = "1994",
CODEN = "AEMABN",
DOI = "https://doi.org/10.1007/BF01838145",
ISSN = "0001-9054 (print), 1420-8903 (electronic)",
ISSN-L = "0001-9054",
MRclass = "39B12",
MRnumber = "1251136",
MRreviewer = "Shigeru Haruki",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1541/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Aequationes Mathematicae",
journal-URL = "http://link.springer.com/journal/10",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:DKK,
author = "Jon Borwein and Jon Vanderwerff",
title = "Dual {Kadec--Klee} norms and the relationships between
{Wijsman}, slice, and {Mosco} convergence",
journal = j-MICH-MATH-J,
volume = "41",
number = "2",
pages = "371--387",
year = "1994",
CODEN = "MIMJA5",
DOI = "https://doi.org/10.1307/mmj/1029005003",
ISSN = "0026-2285 (print), 1945-2365 (electronic)",
ISSN-L = "0026-2285",
MRclass = "46B10 (46B20 46N10 49J45 54B20)",
MRnumber = "1278442",
MRreviewer = "Simon Fitzpatrick",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Michigan Mathematical Journal",
journal-URL = "https://projecteuclid.org/all/euclid.mmj",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "{Mosco}, {Wijsman} and slice convergence in
nonreflexive {Banach} spaces",
}
@Article{Borwein:1994:ECFc,
author = "Jon Borwein and Simon Fitzpatrick and Jon
Vanderwerff",
title = "Examples of convex functions and classifications of
normed spaces",
journal = j-J-CONVEX-ANAL,
volume = "1",
number = "1",
pages = "61--73",
year = "1994",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "46B20 (26B25 46B10 46N10 52A41)",
MRnumber = "1326942",
MRreviewer = "Roland Durier",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/64/;
http://www.heldermann-verlag.de/jca/jca01/jca01004.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:EEEa,
author = "David Borwein and Jonathan M. Borwein and Roland
Girgensohn",
title = "Explicit evaluation of {Euler} sums",
type = "Report",
institution = "Department of Mathematics and Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "21",
day = "18",
month = mar,
year = "1994",
MRclass = "40A25, 40B05 (11M99, 33E99)",
bibdate = "Thu Sep 01 11:00:10 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/58",
abstract = "In response to a letter from Goldbach, Euler
considered sums of the form\par
$$ \sigma_h(s, t) = \sum_{n = 1}^\infty \big (1 +
\frac {1}{2^s} + \cdots + \frac {1}{(n - 1)^s} \big)
n^{-t}, $$ \par
where $s$ and $t$ are positive integers.\par
As Euler discovered by a process of extrapolation (from
$ s + t \leq 13$), $ \sigma_h(s, t)$ can be evaluated
in terms of Riemann $ \zeta $-functions when $ s + t$
is odd. We provide a rigorous proof of Euler's
discovery and then give analogous evaluations with
proofs for corresponding alternating sums. Relatedly we
give a formula for the series\par $$ \sum_{n =
1}^\infty \big (1 + \frac {1}{2} + \cdots + \frac
{1}{n} \big)^2 (n + 1)^{-m} $$ \par
This evaluation involves $ \zeta $-functions and $
\sigma_h(2, m)$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "beta function; generating functions; harmonic numbers;
polylogarithms; psi function; Riemann zeta function",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:EML,
author = "Jonathan M. Borwein and Adrian S. Lewis and Mark A.
Limber",
title = "Entropy Minimization with Lattice Bounds",
journal = j-J-APPROX-THEORY,
volume = "79",
number = "1",
pages = "1--16",
year = "1994",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1006/jath.1994.1110",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A46 (41A29 90C48)",
MRnumber = "1294317",
MRreviewer = "Dominikus Noll",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1545/;
http://www.sciencedirect.com/science/article/pii/S0021904584711105",
abstract = "We characterize solutions to the problem of minimizing
a convex integral objective function subject to a
finite number of linear constraints and requiring that
the feasible functions lie in a strip $ [\alpha, \beta]
$ where $ \alpha $ and $ \beta $ are extended real
valued measurable functions. We use the duality theory
of J. M. Borwein and A. S. Lewis (Math. Programming,
Series \{B57\} (1992), 15-48, 49-84) to show that the
solutions are of the usual form, but truncated where
they leave the strip.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:EMPa,
author = "Jonathan M. Borwein and Adrian S. Lewis and Roger D.
Nussbaum",
title = "Entropy Minimization, {$ D A D $} Problems, and Doubly
Stochastic Kernels",
journal = j-J-FUNCT-ANAL,
volume = "123",
number = "2",
pages = "264--307",
year = "1994",
CODEN = "JFUAAW",
DOI = "https://doi.org/10.1006/jfan.1994.1089",
ISSN = "0022-1236 (print), 1096-0783 (electronic)",
ISSN-L = "0022-1236",
MRclass = "47N10 (47B99 47H15 49N15 90C30)",
MRnumber = "1283029",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1546/;
http://www.sciencedirect.com/science/article/pii/S0022123684710895",
abstract = "The classical $ D A D $ problem asks, for a square
matrix $A$ with nonnegative entries, when it is
possible to find positive diagonal matrices $ D_1$ and
$ D_2$ with $ D_1 A D_2$ doubly stochastic. We consider
various continuous and measurable generalizations of
this problem. Through a fusion of variational and fixed
point techniques we obtain strong analogues of the
classical results. Our extensions appear inaccessible
by either technique separately.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Functional Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/00221236",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:FAS,
author = "Jon Borwein and Jon Vanderwerff",
title = "Further arguments for slice convergence in
nonreflexive spaces",
journal = j-SET-VALUED-ANAL,
volume = "2",
number = "4",
pages = "529--544",
year = "1994",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/BF01033070",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J45 (46N10 54B20)",
MRnumber = "1308483",
MRreviewer = "Gerald Beer",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/62/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:FEDa,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Functional equations and distribution functions",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "10",
day = "15",
month = jul,
year = "1994",
bibdate = "Thu Sep 01 15:54:10 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dedicated to Professor J{\'a}nos Acz{\'e}l's on the
occasion of his 70th birthday.",
URL = "http://docserver.carma.newcastle.edu.au/90",
abstract = "Wee consider the functional equation\par
$$ f(t) = \frac {1}{b} \sum_{\nu = 0}^{b - 1} f \big
(\frac {t - \beta_nu}{a} \big) \mbox {for all $ t \in
\mathbb{R}$ }, \qquad (F) $$ \par
where $ 0 < a < 1 $ , $ b \in \mathbb {N} \backslash \{
1 \} $ and $ - 1 = \beta_0 \leq \beta_1 \leq \beta_2
\leq \cdots \leq \beta_{p - 1} = 1 $ are given
parameters, $ f \color \mathbb {R} \to \mathbb {R} $ is
the unknown. We show that there is a unique bounded
function $f$ which solves (F) and satisfies $ f(t) = 0$
for $ t < - 1 / (1 - a)$, $ f(t) = 1$ for $ t > 1 / (1
- a)$. This solution can be interpreted as the
distribution function of a certain random series. It 1s
known to be either singular or absolutely continuous,
but the problem for which parameters it 1s absolutely
continuous 1s largely open. We collect some previously
established partial answers and generalize them. We
also point out an interesting connection to the
so-called Schilling equation.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:FEDb,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Functional equations and distribution functions",
journal = "Results in Mathematics. Resultate der Mathematik",
volume = "26",
number = "3--4",
pages = "229--237",
year = "1994",
DOI = "https://doi.org/10.1007/BF03323043",
ISSN = "0378-6218",
ISSN-L = "0378-6218",
MRclass = "39B22 (39B62 60E05 62E15)",
MRnumber = "1300602",
MRreviewer = "K. Lajk{\'o}",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "For J{\'a}nos Acz{\'e}l's 70th birthday.",
URL = "http://docserver.carma.newcastle.edu.au/90/",
acknowledgement = ack-nhfb,
ajournal = "Results Math.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Results in Mathematics. Resultate der Mathematik",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:MER,
author = "J. M. Borwein and A. S. Lewis and D. Noll",
title = "Maximum entropy reconstruction using derivative
information. {Part 1}: {Fisher} information and convex
duality",
type = "Report",
institution = "Department of Combinatorics and Optimization
University of Waterloo",
address = "Waterloo, ON N2L 3G1, Canada",
pages = "31",
day = "14",
month = dec,
year = "1994",
bibdate = "Thu Sep 01 15:39:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/82",
abstract = "Maximum entropy spectral density estimation is a
technique for reconstructing an unknown density
function from some known measurements by maximizing a
given measure of entropy of the estimate. Here we
present a variety of new entropy measures which attempt
to control derivative values of the densities. Our
models apply among others to the inference problem
based on the averaged Fisher information measure. The
duality theory we develop resembles models used in
convex optimal control problems. We present a variety
of examples, including relaxed moment matching with
Fisher information and best interpolation on a strip.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "duality; Fisher information; generalized solutions;
Maximum Entropy method; optimal control; Partially
finite convex programming; Spectral Density
estimation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:MES,
author = "J. M. Borwein and A. S. Lewis and M. N. Limber and D.
Noll",
title = "Maximum Entropy Spectral Analysis Using Derivative
Information Part 2: Computational Results",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "19",
day = "10",
month = jan,
year = "1994",
bibdate = "Thu Sep 01 14:47:08 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/71",
abstract = "Maximum entropy density estimation, a technique for
reconstructing an unknown density function on the basis
of certain measurements, has applications in various
areas of applied physical sciences and engineering.
Here we present concrete results for the maximum
entropy inversion program based on a new class of
information measures which are designed to control
derivative values of the unknown densities.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Convex duality; Fisher information; Optimal Control;
Primal dual program; Runge--Kutta methods; Spectral
density estimation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:NRS,
author = "Jonathan M. Borwein and Mari{\'a}n Fabi{\'a}n",
title = "A note on regularity of sets and of distance functions
in {Banach} space",
journal = j-J-MATH-ANAL-APPL,
volume = "182",
number = "2",
pages = "566--570",
year = "1994",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.1994.1104",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "49J52",
MRnumber = "1269478",
MRreviewer = "Doug Ward",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022247X84711048",
abstract = "We show that in every infinite dimensional Banach
space there is a compact set C and x in C such that C
is regular at x (in the sense of nonsmooth analysis)
but such that the associated distance function dC is
not regular at x and neither is -dC.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:SCM,
author = "J. M. Borwein and P. B. Borwein and F. G. Garvan",
title = "Some cubic modular identities of {Ramanujan}",
journal = j-TRANS-AM-MATH-SOC,
volume = "343",
number = "1",
pages = "35--47",
month = may,
year = "1994",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2154520",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11B65 (11F27 33D10)",
MRnumber = "1243610",
MRreviewer = "George E. Andrews",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1547/;
https://www.jstor.org/stable/2154520",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:SEC,
author = "Jonathan M. Borwein",
title = "A survey of examples of convex functions and
classifications of normed spaces",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "13",
day = "1",
month = dec,
year = "1994",
MRclass = "46B20, 46N10 (46B10)",
bibdate = "Thu Sep 01 16:26:49 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Revised 22 January 1995. Published in
\cite{Borwein:1995:SEC}.",
URL = "http://docserver.carma.newcastle.edu.au/92;
http://docserver.carma.newcastle.edu.au/93",
abstract = "This paper represents a slightly extended version of
the eponymous talk given at the VII Colloque
Franco-Allemand d'Optimisation. My aim is to illustrate
the tight connection between the sequential properties
of a Banach space and the corresponding properties of
the convex functions and sets which may or may not be
defined on that space.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "classical Banach spaces; convex functions;
differentiability; Haar-null sets.; nearest points;
sequential properties",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:SOD,
author = "Jonathan M. Borwein and Dominikus Noll",
title = "Second order differentiability of convex functions in
{Banach} spaces",
journal = j-TRANS-AM-MATH-SOC,
volume = "342",
number = "1",
pages = "43--81",
month = mar,
year = "1994",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2154684",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "46G05 (26E15)",
MRnumber = "1145959",
MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1549/;
https://www.jstor.org/stable/2154684",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:SRO,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Strong rotundity and optimization",
journal = j-SIAM-J-OPT,
volume = "4",
number = "1",
pages = "146--158",
year = "1994",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/0804008",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "49K27 (90C48)",
MRnumber = "1260412",
MRreviewer = "T. Zolezzi",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1550/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:STE,
author = "David Borwein and Jonathan M. Borwein",
title = "On Some Trigonometric and Exponential Lattice Sums",
journal = j-J-MATH-ANAL-APPL,
volume = "188",
number = "1",
pages = "209--218",
year = "1994",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.1994.1422",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11L03 (11L07)",
MRnumber = "1301727",
MRreviewer = "Gunter Dufner",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1542/;
http://www.sciencedirect.com/science/article/pii/S0022247X84714223",
abstract = "Certain two-dimensional trigonometric lattice series,
the ordinary convergence of which involves unresolved
questions of a deep and delicate number-theoretic
nature, are shown to be summable by a special Abelian
method and their Abelian sums are obtained. This is
done by first evaluating an absolutely convergent
exponential lattice series and then analytically
extending its sum.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:UCMa,
author = "J. M. Borwein and W. Huang",
title = "Uniform convergence for moment problems with
{Fermi--Dirac} type entropies",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "11",
day = "7",
month = jan,
year = "1994",
MRclass = "49M39, 41A10, 44A60",
bibdate = "Thu Sep 01 14:42:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/70/",
abstract = "We consider the best entropic estimation to a unknown
density $ \bar {x} $, given some of its algebraic or
trigonometric moments. A uniform convergence theorem is
established in this paper for such problems using
Fermi--Dirac type entropic objectives",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "best approximation; Fenchel duality; Fermi--Dirac
entropy; linear constrained optimization; moment
problems; uniform convergence",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:UCMb,
author = "J. M. Borwein and W. Huang",
title = "Uniform convergence for moment problems with
{Fermi--Dirac} type entropies",
journal = j-ZOR-MATH-METHODS-OPER-RES,
volume = "40",
number = "3",
pages = "239--252",
year = "1994",
CODEN = "ZMRREP",
DOI = "https://doi.org/10.1007/BF01432968",
ISSN = "0340-9422",
MRclass = "90C45 (44A60)",
MRnumber = "1316390",
MRreviewer = "Dominikus Noll",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/70/;
http://link.springer.com/article/10.1007/BF01432968",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical
Methods of Operations Research",
journal-URL = "http://link.springer.com/journal/186",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1994:UMP,
author = "J. M. Borwein and M. A. Limber",
title = "Underdetermined moment problems: a case for convex
analysis",
journal = "SIAG/OPT",
volume = "??",
number = "5",
pages = "9--13",
month = "Fall",
year = "1994",
DOI = "",
bibdate = "Mon Aug 15 14:52:57 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Invited talk at 1994 SIAM Conference on
Optimization.",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Which journal is this??",
}
@TechReport{Borwein:1994:VAN,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Variational analysis in nonreflexive spaces and
applications to control problems with {$ L^1 $}
perturbations",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "40",
day = "2",
month = may,
year = "1994",
bibdate = "Thu Sep 01 14:58:07 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/78",
abstract = "We provide a refined sensitivity analysis for finite
and infinite horizon control problems where in both
cases the perturbation space is $ L^1 $. Our underlying
technique relies on a recent sequential description of
both the generalized gradient of Clarke and of the
approximate $G$-subdifferential of functions defined on
a smooth Banach space. We also show that the proximal
limit formula for the generalized gradient and its $
L^p$ analogue are direct consequences of these
sequential formulas. Related characterizations of
Lipschitzness of a function on a smooth space are
given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Bailey:1995:FNI,
author = "D. H. Bailey and J. M. Borwein and R. Girgensohn",
editor = "????",
booktitle = "{SIAM Conference on Parallel Computing, San Francisco,
February 1995}",
title = "Finding new identities with supercomputers",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "??--??",
year = "1995",
bibdate = "Mon Aug 15 14:48:40 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1995:CLM,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "Continuous linear monotone mappings in {Banach}
space",
type = "CECM Research Report",
number = "95:049",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "48",
day = "29",
month = aug,
year = "1995",
bibdate = "Tue Aug 16 10:12:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/114/;
https://web.archive.org/web/20110313015539/",
abstract = "The concept of a monotone operator --- which covers
both linear positive semi-definite operators and
subdifferentials of convex functions --- has turned out
to be very powerful in various branches of mathematics.
- Over the last few decades, several new notions of
monotonicity have been introduced: Gossez' maximal
monotone of type (D), Simons' monotone of type (WD) and
of type (NI), Fitzpatrick and Phelps' locally maximal
monotone. While these monotonicities are automatic for
maximal monotone operators in reflexive Banach spaces
and for subdifferentials of convex functions, their
precise relationship is largely unknown. In view of the
origin of the theory of monotone operators, it is very
natural to investigate linear monotone (i.e. positive
semi-definite) operators. Here, it 1s shown --- within
the beautiful framework of Convex Analysis --- that for
continuous linear monotone operators, {\em all these
notions coincide and are equivalent to the monotonicity
of the conjugate operator}. The latter condition is
analyzed and illustrated by several examples. Some
nonlinear results on regularizations conclude the
paper.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
xxtitle = "Continuous Linear Monotone Operators on {Banach}
Space",
}
@TechReport{Bauschke:1995:LFM,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "{Legendre} functions and the method of random
{Bregman} projections",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "48",
day = "2",
month = mar,
year = "1995",
MRclass = "49M45 (47TH17, 52A41, 65F10, 65K05, 90C25)",
bibdate = "Thu Sep 01 16:43:37 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bauschke:1997:LFM}.",
URL = "http://docserver.carma.newcastle.edu.au/96",
abstract = "The convex feasibility problem, that is, finding a
point in the intersection of finitely many closed
convex sets in Euclidean space, arises in various areas
of mathematics and physical sciences. It can be solved
by the classical method of cyclic orthogonal
projections, where, by projecting cyclically onto the
sets, a sequence is generated that converges to a point
in the intersection. In 1967, Bregman extended this
method to non-orthogonal projections based on a new
notion of distance, now days called ``Bregman
distance''. The Bregman distance is induced by a convex
function. If this function is a so-called ``zone
consistent Bregman function'', then Bregman's method
works; however, deciding on this can be difficult. In
this paper, Bregman's method is studied within the
powerful framework of Convex Analysis. New insights are
obtained and the rich class of ``Bregman\slash Legendre
functions'' is introduced. Bregman's method still
works, if the underlying function is Bregman\slash
Legendre or more generally if it is Legendre but some
constraint qualification holds additionally. The key
advantage 1s the broad applicability and verifiability
of these concepts. The results presented here are
complementary to recent work by Censor and Reich on the
method of random Bregman projections (where the sets
are projected onto infinitely often --- not necessarily
cyclically). Special attention 1s given to examples,
some of which connect to Pythagorean means and to
Convex Analysis on the Hermitian or symmetric
matrices.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Bregman function; Bregman projection; convex
feasibility problem; convex function; convex set;
essentially smooth function; essentially strictly
convex function; Hermitian matrix; Legendre function;
projection",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1995:PAS,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "On Projection Algorithms for Solving Convex
Feasibility Problems",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "99",
day = "28",
month = apr,
year = "1995",
bibdate = "Wed Aug 31 08:57:40 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bauschke:1996:PAS}",
URL = "http://docserver.carma.newcastle.edu.au/100/2/95_034-Bauschke-Borwein.pdf",
abstract = "Due to their extraordinary utility and broad
applicability in many areas of classical mathematics
and modern physical sciences (most notably,
computerized tomography), algorithms for solving convex
feasibility problems continue to receive great
attention. To unify, generalize, and review some of
these algorithms, a very broad and flexible framework
is investigated. Several crucial new concepts which
allow a systematic discussion of questions on behaviour
in general Hilbert spaces and on the quality of
convergence are brought out. Numerous examples are
given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated, but stored in 1995-labeled directory, and PDF
produced Fri Apr 28 14:11:01 1995.",
}
@Book{Borowski:1995:DCD,
author = "Ephraim J. Borowski and Jonathan M. Borwein",
title = "Dizionario {Collins} della matematica",
publisher = "Gremese Editore",
address = "Roma, Italy",
pages = "423",
year = "1995",
ISBN = "88-7605-813-3",
ISBN-13 = "978-88-7605-813-4",
LCCN = "????",
bibdate = "Tue Aug 16 09:08:42 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Translation to Italian by Andrea Stracca of
\cite{Borowski:1991:HDM}.",
series = "Dizionari Gremese",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Matematica - Enciclopedie e dizionari",
}
@Book{Borowski:1995:SXC,
author = "Ephraim J. Borowski and Jonathan M. Borwein",
title = "Shu xue ci dian",
volume = "10",
publisher = "Mao tou ying chu ban",
address = "Taibei",
pages = "879",
year = "1995",
ISBN = "957-0337-14-1",
ISBN-13 = "978-957-0337-14-3",
LCCN = "????",
bibdate = "Tue Aug 16 09:05:36 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Chinese edition of \cite{Borowski:1991:HDM}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:ATB,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Addition theorems and binary expansions",
journal = j-CAN-J-MATH,
volume = "47",
number = "2",
pages = "262--273",
year = "1995",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1995-013-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "39B62 (11A63)",
MRnumber = "1335077",
MRreviewer = "W. Herget",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1537/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:CCH,
author = "Jonathan M. Borwein and Simon Fitzpatrick",
title = "Closed convex {Haar} null sets",
type = "CECM Research Report",
number = "95:052",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "9",
month = aug,
year = "1995",
bibdate = "Tue Aug 16 10:13:27 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/117/",
abstract = "If $E$ is a separable super-reflexive Banach space
then every closed convex subset of $E$ with empty
interior is a Haar null set.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1995:CCS,
author = "J. M. Borwein and S. Fitzpatrick",
booktitle = "Proceedings of the Optimization Miniconference II",
title = "Characterization of {Clarke} subgradients among
one-dimensional multifunctions",
publisher = "University of Ballarat",
address = "Ballarat, VI, Australia",
pages = "5--12",
year = "1995",
bibdate = "Mon Aug 15 14:41:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/23/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:CLR,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Convergence of {Lipschitz} regularizations of convex
functions",
journal = j-J-FUNCT-ANAL,
volume = "128",
number = "1",
pages = "139--162",
year = "1995",
CODEN = "JFUAAW",
DOI = "https://doi.org/10.1006/jfan.1995.1026",
ISSN = "0022-1236 (print), 1096-0783 (electronic)",
ISSN-L = "0022-1236",
MRclass = "49J45 (46N10 49J52)",
MRnumber = "1317713",
MRreviewer = "Lionel Thibault",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1540/;
http://www.sciencedirect.com/science/article/pii/S0022123685710269",
abstract = "For a sequence or net of convex functions on a Banach
space, we study pointwise convergence of their
Lipschitz regularizations and convergence of their
epigraphs. The Lipschitz regularizations we will
consider are the infimal convolutions of the functions
with appropriate multiples of the norm. For a sequence
of convex functions on a separable Banach space we show
that both pointwise convergence of their Lipschitz
regularizations and Wijsman convergence of their
epigraphs are equivalent to variants of two conditions
used by Attouch and Beer to characterize slice
convergence. Results for nonseparable spaces are
obtained by separable reduction arguments. As a
by-product, slice convergence for an arbitrary net of
convex functions can be deduced from the pointwise
convergence of their regularizations precisely when the
w* and the norm topologies agree on the dual sphere.
This extends some known results and answers an open
question.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Functional Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/00221236",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:CML,
author = "David Borwein and Jonathan M. Borwein and Christopher
Pinner",
title = "Convergence of {Madelung}-Like Lattice Sums",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "46",
month = jun,
year = "1995",
bibdate = "Wed Aug 31 09:30:55 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/104/2/95_040-Borwein-Borwein-Pinner.pdf",
abstract = "We make a general study of the convergence properties
of lattice sums, involving potentials, of the form
occurring in Mathematical Chemistry and Physics. Many
specific examples are studied in detail. The prototype
is Madelung's constant for NaCl: $$ \sum_{- \infty }^{+
\infty } \frac {( - 1)^{n + m + p}}{\sqrt {n^2 + m^2 +
p^2}} = - 1.74756459 \cdots $$ resuming that one
appropriately interprets the summation process.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:DDF,
author = "J. M. Borwein and Xianfu Wang",
title = "Distinct Differentiable Functions May Share the Same
{Clarke} Subdifferential at all points",
type = "Report",
institution = inst-CARMA,
address = inst-CARMA:adr,
pages = "10",
day = "29",
month = jun,
year = "1995",
bibdate = "Wed Aug 31 06:33:16 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1997:DDF}.",
URL = "https://docserver.carma.newcastle.edu.au/112/2/95_047-Borwein-Wang.pdf",
abstract = "We construct, using Zahorski's Theorem, two everywhere
differentiable real-valued Lipschitz functions
differing by more than a constant but sharing the same
Clarke subdifferential and the same approximate
subdifferential.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Revised 8 September 1995.",
}
@Article{Borwein:1995:EEEa,
author = "David Borwein and Jonathan M. Borwein and Roland
Girgensohn",
title = "Explicit evaluation of {Euler} sums",
journal = j-PROC-EDINBURGH-MATH-SOC-2,
volume = "38",
number = "2",
pages = "277--294",
month = jun,
year = "1995",
CODEN = "PRMSA3",
DOI = "https://doi.org/10.1017/S0013091500019088",
ISSN = "0013-0915 (print), 1464-3839 (electronic)",
ISSN-L = "0013-0915",
MRclass = "11M06 (11Y60)",
MRnumber = "1335874",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/58/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the Edinburgh Mathematical Society
(2)",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:EUC,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Epigraphical and uniform convergence of convex
functions",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "19",
day = "17",
month = mar,
year = "1995",
MRclass = "46A55, 46B20, 52A41",
bibdate = "Thu Sep 01 16:32:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/94/",
abstract = "We examine when a sequence of lsc convex functions on
a Banach space con- verges uniformly on bounded sets
(resp. compact sets) provided it converges Attouch-Wets
(resp. Painlev{\'e}--Kuratowski). We also obtain
related results for pointwise convergence and uniform
convergence on weakly compact sets. Some known results
concerning the convergence of sequences of linear
functionals are shown to also hold for lsc convex
functions. For example, a sequence of lsc convex
functions converges uniformly on bounded sets to a
continuous affine function provided that the
convergence is uniform on weakly compact sets and the
space does not contain an isomorphic copy of $ \ell_1
$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Attouch-Wets convergence; Epi-convergence; lsc convex
function; Mosco convergence.; Painlev{\'e}--Kuratowski
convergence; pointwise convergence; uniform
convergence",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:FHMa,
author = "J. M. Borwein and W. Z. Huang",
title = "A fast heuristic method for polynomial moment problems
with {Boltzmann--Shannon} entropy",
journal = j-SIAM-J-OPT,
volume = "5",
number = "1",
pages = "68--99",
year = "1995",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/0805004",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "90C45 (44A60 65K05)",
MRnumber = "1315705",
MRreviewer = "Dominikus Noll",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1539/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:FHMb,
author = "J. M. Borwein and M. N. Limber and D. Noll",
title = "Fast heuristic methods for function reconstruction
using derivative information",
journal = j-APPL-ANAL,
volume = "58",
number = "3--4",
pages = "241--261",
year = "1995",
CODEN = "APANCC",
DOI = "https://doi.org/10.1080/00036819508840375",
ISSN = "0003-6811",
ISSN-L = "0003-6811",
MRclass = "65D15 (49N15 62G05)",
MRnumber = "1383191",
MRreviewer = "Zdzis{\l}aw W. Trzaska",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1536/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Applicable Analysis. An International Journal",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:GCP,
author = "D. Borwein and J. M. Borwein and P. B. Borwein and R.
Girgensohn",
title = "{Giuga}'s conjecture on primality",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "16",
day = "9",
month = jun,
year = "1995",
MRclass = "11A41, 11Y11 (11Y50)",
bibdate = "Thu Sep 01 15:48:11 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1996:GCP}.",
URL = "http://docserver.carma.newcastle.edu.au/88",
abstract = "G. Giuga conjectured that if an integer $n$ satisfies
$ \sum_{k = 1}^{n - 1} k^{n - 1} \equiv - 1 \bmod n$,
then $n$ must be a prime. We survey what is known about
this interesting and now fairly old conjecture. Giuga
proved that $n$ is a counterexample to his conjecture
if and only if each prime divisor $p$ of $n$ satisfies
$ (p - 1) | (n / p - 1)$ and $ p | (n / p - 1)$. Using
this characterization, he proved computationally that
any counterexample has at least 1,000 digits; equipped
with more computing power, E. Bedocchi later raised
this bound to 1,700 digits. By improving on their
method, we determine that any counterexample has at
least 13,800 digits. We also give some new results on
the second of the above conditions. This leads, in our
opinion, to some interesting questions about what we
call Giuga numbers and Giuga sequences.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Carmichael numbers; Computational number theory;
Primality",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:IIS,
author = "David Borwein and Jonathan M. Borwein",
title = "On an intriguing integral and some series related to
$ \zeta (4) $",
journal = j-PROC-AM-MATH-SOC,
volume = "123",
number = "4",
pages = "1191--1198",
year = "1995",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2160718",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "11Y60 (11M06 11Y35 33B15 42A16)",
MRnumber = "1231029",
MRreviewer = "Henri Joris",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1538/",
abstract = "An intriguing log-cosine integral is fully analyzed
and shown to have value a rational multiple of $ \zeta
(4) $, $ \zeta $ being the Riemann zeta function. From
this we deduce by means of generating functions and
Parseval's identity the sums of certain series
previously established by a completely different
method.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:LFP,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "{Lipschitz} functions with prescribed derivatives and
subderivatives",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "16",
day = "25",
month = jul,
year = "1995",
MRclass = "49J52 (46N10, 58C20)",
bibdate = "Thu Sep 01 16:15:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/92",
abstract = "In general it is difficult to construct Lipschitz
functions which are not directly built up from either
convex or distance functions. One impediment to such
constructions is that outside of the real line it 1s
difficult to find anti-derivatives. The main result of
this paper provides, under suitable circumstances, a
technique for constructing such anti-derivatives. More
precisely, we show that if $ f_1, f_2, \ldots, f_n $
are continuously differentiable real-valued locally
Lipschitz functions defined on a non-empty open subset
$A$ of a separable Banach space $X$, then there exists
a real-valued locally Lipschitz function $g$ defined on
$A$ such that at each point $ x \in A$ the Clarke
subgradient of $g$ at $x$ equals $ \mathrm {co} \{
\nabla f_1 (x), \nabla f_2 (x), \ldots {}, \nabla
f_n(x) \} $.\par
This same construction also shows that for any finite
family $ \{ T_1, T_2, \ldots {}, T_n \} $ of maximal
cyclically monotone mappings from $A$ into non-empty
subsets of $ X^\star $, there exists a real-valued
locally Lipschitz function $g$ defined on $A$ such that
at each point $ x \in A$ the Clarke subgradient of $g$
at $x$ equals $ \mathrm {co} \{ T_1 (x), T_2 (x),
\ldots {}, T_n(x) \} $. Moreover, we show that $g$ is
convex if and only if $ T_1 = T_2 = \cdots = T_n$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Clarke subgradient; differentiability; Haar-null set;
Lipschitz functions; maximal cyclically monotone
operator; minimal cusco",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1995:MCF,
author = "Jonathan M. Borwein and Kenneth R. Davidson",
booktitle = "{Canadian Mathematical Society}. 1945--1995",
title = "Mathematics in {Canada}: the future of mathematics in
{Canada} 50 years later",
volume = "1",
publisher = "Canadian Mathematical Society",
address = "Ottawa, ON, Canada",
pages = "231--268 (249--268 fran{\c{c}}iai)",
year = "1995",
MRclass = "01A80 (01A67)",
MRnumber = "1661625",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dual English--French text.",
series = "CMS Publications",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MEMa,
author = "J. M. Borwein and P. B. Borwein and R. Girgensohn and
S. Parnes",
title = "Mathematical Experimentation and Methodology",
month = jan,
year = "1995",
bibdate = "Tue Aug 16 10:07:27 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Unpublished report.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:MER,
author = "J. M. Borwein and A. S. Lewis and M. N. Limber and D.
Noll",
title = "Maximum entropy reconstruction using derivative
information. {II}. {Computational} results",
journal = j-NUM-MATH,
volume = "69",
number = "3",
pages = "243--256",
year = "1995",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110050090",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65K10 (65U05)",
MRnumber = "1312779",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/71/;
http://link.springer.com/article/10.1007/s002110050090",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "Maximum entropy spectral analysis using first order
information. {Part 2}: {A} Numerical Algorithm for
{Fisher} information duality",
}
@TechReport{Borwein:1995:MSE,
author = "Jonathan M. Borwein and Peter B. Borwein and Roland
Girgensohn and S. Parnes",
title = "Making sense of experimental mathematics",
type = "CECM preprint",
number = "95:032",
institution = inst-CECM,
address = inst-CECM:adr,
year = "1995",
bibdate = "Thu Aug 11 09:31:33 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/98/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:NCC,
author = "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
Zhu",
title = "Necessary Conditions for Constrained Optimization
Problems with Semicontinuous and Continuous Data",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
month = sep,
year = "1995",
MRclass = "49J52 (49J40, 49J50, 58C20)",
bibdate = "Wed Aug 31 09:53:05 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/116/2/95_051-Borwein-Treiman-Zhu.pdf",
abstract = "We consider nonsmooth constrained optimization
problems with semicontinuous and continuous data in
Banach space and derive necessary conditions without
constraint qualification in terms of smooth
subderivatives and normal cones. These results, in
different versions, are set in reflexive and smooth
Banach spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Constrained optimization problems; multipliers;
nonsmooth analysis; normals and fuzzy calculus.;
subderivatives",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:PAS,
author = "Jonathan M. Borwein and Alexander Ioffe",
title = "Proximal Analysis in Smooth Spaces",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "30",
day = "21",
month = feb,
year = "1995",
bibdate = "Thu Sep 01 14:05:31 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/61",
abstract = "We provide a highly-refined sequential description of
the generalized gradients of Clarke and approximate
$G$-subdifferential of a lower semicontinuous
extended-real-valued function defined on a Banach space
with a $ \beta $-smooth equivalent renorm. In the case
of a Fr{\'e}chet differentiable renorm we give a
corresponding result for the corresponding singular
objects.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$G$ subdifferentials; Clarke subdifferentials;
distance functions; Lipschitz functions; lower semi
continuous functions; normals; smooth renorms;
sub-derivatives; tangent cones; variational
principles",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:SAD,
author = "J. M. Borwein and W. Sun",
title = "The stability analysis of dynamic {SPECT} systems",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "14",
year = "1995",
MRclass = "68U10, 41A30, 65F35",
bibdate = "Thu Sep 01 17:55:00 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/99",
abstract = "SPECT (Single Photon Emission Computed Tomography)
techniques have been applied to a wide range of medical
studies. The stability of a SPECT model depends
strongly upon the data collected. We show that a SPECT
model is full rank and well-conditioned (stable) if the
projection data are large enough. Condition number
estimates for a linear model are given. Numerical
results for a class of linear models confirm our
theoretical analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "least squares; medical imaging; SPECT model;
stability",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated and no date in PDF file metadata, but
directory numbering suggests 1995. Newest entry [1] in
References list is dated 1994. Reference [7] is
published in \cite{Limber:1995:DRF}.",
}
@Article{Borwein:1995:SCB,
author = "Jonathan Borwein and Simon Fitzpatrick",
title = "{$ {\rm Weak}^\ast $} sequential compactness and
bornological limit derivatives",
journal = j-J-CONVEX-ANAL,
volume = "2",
number = "1--2",
pages = "59--67",
year = "1995",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49J52 (46G05 47N10 49J40 58C20)",
MRnumber = "1363360",
MRreviewer = "Nikolay V. Zhivkov",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dedicated to R. T. Rockafellar on his 60th birthday.",
URL = "http://www.heldermann.de/JCA/jcacon.htmvol.2_no.1+2/j4_49.ps.gz",
abstract = "In this note we give a self-contained account of the
relationship between the sequential and topological
constructions of bornological limit derivatives for
locally Lipschitzian real-valued functions on Banach
spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
keywords = "Asplund space; bornological limit derivative; Clarke
subgradient; Fr{\'e}chet derivative; Gateaux
derivative; subderivative; weak Hadamard derivative;
weak* sequential compactness.; weakly compactly
generated",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
received = "6 June 1994; revised 15 November 1994",
}
@InProceedings{Borwein:1995:SEC,
author = "Jonathan M. Borwein",
editor = "Roland Durier and Chistian Michelot",
booktitle = "Recent Developments in Optimization: Seventh
{French--German} Conference on Optimization ({Dijon}
1994)",
title = "A survey of examples of convex functions and
classifications of normed spaces",
volume = "429",
publisher = pub-SV,
address = pub-SV:adr,
pages = "60--71",
year = "1995",
DOI = "https://doi.org/10.1007/978-3-642-46823-0_5",
ISBN = "3-642-46823-3",
ISBN-13 = "978-3-642-46823-0",
LCCN = "QA402.5",
MRclass = "46N10 (46B20 49J50)",
MRnumber = "1358388",
MRreviewer = "A. B. N{\'e}meth",
bibdate = "Mon Aug 15 14:50:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Lecture Notes in Economic and Mathematical Systems",
URL = "http://docserver.carma.newcastle.edu.au/93/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "A survey of examples of convex functions and the
classification of {Banach} spaces",
}
@TechReport{Borwein:1995:SRR,
author = "J. M. Borwein and E. Wong",
title = "A survey of results relating to {Giuga}'s conjecture
on primality",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "21",
day = "8",
month = may,
year = "1995",
bibdate = "Wed Aug 31 08:44:19 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1997:SRR}.",
abstract = "This article is an expanded version of the talk given
by the first author at the 25th Anniversary Conference
of the Centre de R{\'e}cherches Math{\'e}matiques.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:SRSa,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "A survey on renorming and set convergence",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "19",
day = "25",
month = mar,
year = "1995",
MRclass = "46A55, 46B20, 52A41",
bibdate = "Thu Sep 01 16:51:41 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1995:SRSb}.",
URL = "http://docserver.carma.newcastle.edu.au/97",
abstract = "This article presents a survey of some recent results
relating set convergence and renorming. We focus most
of our attention on norms having various Kadec--Klee
properties and their interplay with certain forms of
set convergence including Wijsman and slice
convergence.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "convex analysis; Kadec--Klee norms; Lipschitz
regularizations; Mosco convergence; set convergence;
slice convergence; Wijsman convergence",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1995:SRSb,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "A survey on renorming and set convergence",
journal = "Topological Methods in Nonlinear Analysis",
volume = "5",
number = "2",
pages = "211--228",
year = "1995",
ISSN = "1230-3429",
ISSN-L = "1230-3429",
MRclass = "46B20 (46G05 46N10 49J45 54B20)",
MRnumber = "1374058",
MRreviewer = "David Yost",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/97/;
https://www.tmna.ncu.pl/static/files/v05n2-01.pdf",
acknowledgement = ack-nhfb,
ajournal = "Topol. Methods Nonlinear Anal.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Topological Methods in Nonlinear Analysis",
journal-URL = "https://www.tmna.ncu.pl/static/archives/archives.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:VSV,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Viscosity solutions and viscosity subderivatives in
smooth {Banach} spaces with applications to metric
regularity",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "40",
day = "18",
month = mar,
year = "1995",
MRclass = "49J52 (49L25, 49J40, 49J50, 58C20)",
bibdate = "Thu Sep 01 15:35:07 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/80",
abstract = "In Gateaux or bornologically differentiable spaces
there are two natural generalizations of the concept of
a Fr{\'e}chet subderivative: In this paper we study the
viscosity subderivative (which is the more robust of
the two) and establish refined fuzzy sum rules for it
in a smooth Banach space. These rules are applied to
obtain comparison results for viscosity solutions of
Hamilton--Jacobi equations in $ \beta $-smooth spaces.
A unified treatment of metric regularity in smooth
spaces completes the paper. This illustrates the
flexibility of viscosity subderivatives as a tool for
analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "fuzzy sum rule; Hamilton--Jacobi equations; metric
regularity; smooth spaces; viscosity solutions;
Viscosity subderivative",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Limber:1995:DRF,
author = "M. A. Limber and M. N. Limber and A. Celler and J. S.
Barney and J. M. Borwein",
title = "Direct reconstruction of functional parameters for
dynamic {SPECT}",
journal = j-IEEE-TRANS-NUCL-SCI,
volume = "42",
number = "4",
pages = "1249--1256",
month = aug,
year = "1995",
CODEN = "IRNSAM",
DOI = "https://doi.org/10.1109/23.467872",
ISSN = "0018-9499 (print), 1558-1578 (electronic)",
ISSN-L = "0018-9499",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1995ITNS...42.1249L;
http://docserver.carma.newcastle.edu.au/1535/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IEEE Transactions on Nuclear Science",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:1996:QP,
author = "David H. Bailey and Jonathan M. Borwein and Peter B.
Borwein and Simon Plouffe",
title = "The quest for pi",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "16",
day = "25",
month = jun,
year = "1996",
bibdate = "Wed Aug 31 15:23:45 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bailey:1997:QP}",
URL = "http://docserver.carma.newcastle.edu.au/164/",
abstract = "This article gives a brief history of the analysis and
computation of the mathematical constant $ \pi =
3.141359 \ldots {} $, including a number of the
formulas that have been used to compute $ \pi $ through
the ages. Recent developments in this area are then
discussed in some detail, including the recent
computation of $ \pi $ to over six billion decimal
digits using high-order convergent algorithms, and a
newly discovered scheme that permits arbitrary
individual hexadecimal digits of $ \pi $ to be
computed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1996:MMD,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "Maximal monotonicity of dense type, local maximal
monotonicity, and monotonicity of the conjugate are all
the same for continuous linear operators",
type = "Report",
institution = "Department of Combinatorics \& Optimization,
University of Waterloo",
address = "Waterloo, Ontario N2L 3G1, Canada",
pages = "23",
day = "20",
month = nov,
year = "1996",
bibdate = "Wed Aug 31 15:38:23 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bauschke:1999:MMD}.",
URL = "http://docserver.carma.newcastle.edu.au/180/",
abstract = "The concept of a monotone operator --- which covers
both linear positive semi-definite operators and
subdifferentials of convex functions 1s fundamental in
various branches of mathematics. Over the last few
decades, several stronger notions of monotonicity have
been introduced: Gossez's maximal monotonicity of dense
type, Fitzpatrick and Phelps's local maximal
monotonicity, and Simons's monotonicity of type (NI).
While these monotonicities are automatic for maximal
monotone operators in reflexive Banach spaces and for
subdifferentials of convex functions, their precise
relationship is largely unknown. Here, it 1s shown ---
within the beautiful framework of Convex Analysis ---
that for continuous linear monotone operators, all
these notions coincide and are equivalent to the
monotonicity of the conjugate operator. This condition
is further analyzed and illustrated by examples.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:1996:PAS,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "On Projection Algorithms for Solving Convex
Feasibility Problems",
journal = j-SIAM-REVIEW,
volume = "38",
number = "3",
pages = "367--426",
month = sep,
year = "1996",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/S0036144593251710",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "90C25 (47N10 49M45 65J10)",
MRnumber = "1 409 591",
MRreviewer = "F. Deutsch",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "Compendex database;
http://epubs.siam.org/toc/siread/38/3;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
http://www.siam.org/journals/sirev/sirev383.htm",
URL = "http://docserver.carma.newcastle.edu.au/100/;
http://epubs.siam.org/sam-bin/dbq/article/25171",
abstract = "Due to their extraordinary utility and broad
applicability in many areas of classical mathematics
and modern physical sciences (most notably,
computerized tomography), algorithms for solving convex
feasibility problems continue to receive great
attention. To unify, generalize, and review some of
these algorithms, a very broad and flexible framework
is investigated. Several crucial new concepts which
allow a systematic discussion of questions on behaviour
in general Hilbert spaces and on the quality of
convergence are brought out. Numerous examples are
given.",
acknowledgement = ack-nhfb,
affiliation = "Simon Fraser Univ",
affiliationaddress = "BC, Can",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
classification = "723.2; 723.5; 921.5; 921.6; B0250 (Combinatorial
mathematics); B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); B6140C
(Optical information, image and video signal
processing); C1160 (Combinatorial mathematics); C1180
(Optimisation techniques); C1250 (Pattern recognition);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math. and Stat., Simon Fraser Univ., Burnaby,
BC, Canada",
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
journalabr = "SIAM Rev",
keywords = "Algorithms; Approximation theory; Classical
mathematics; computerised tomography; Computerized
tomography; computerized tomography; convergence of
numerical methods; Convergence of numerical methods;
convex feasibility; Convex feasibility problems; Convex
inequalities; Convex programming; convex programming;
Functions; Hilbert spaces; Image reconstruction; image
reconstruction; image recovery; iterative method;
Iterative methods; iterative methods; Linear
convergence; linear convergence; linear inequality;
Mathematical programming; Problem solving; Projection
algorithms; projection algorithms; set theory;
Subgradient algorithm; subgradient algorithm",
onlinedate = "September 1996",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "According to the obituary at the AMS Web site, this is
Jon Borwein's most-cited paper. Google Scholar shows
1231 citations as of 02 January 2017, fewer than the
1378 noted in \cite{Barzilai:1988:TPS}.",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Borwein:1996:ADE,
author = "J. M. Borwein and F. G. Garvan",
title = "Approximations to $ \pi $ via the {Dedekind} eta
function",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "28",
day = "27",
month = mar,
year = "1996",
bibdate = "Wed Aug 31 14:56:53 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/158/",
abstract = "Arguably the most efficient algorithm currently known
for the extended precision calculation of $ \pi $ 1s a
quartic iteration due to J. M. and P. B. Borwein. In
their paper, the Borwein's show how this iteration and
others are intimately connected to the work of
Ramanujan. This connection 1s shown utilizing their
alpha-function which is defined in terms of
theta-functions. They are able to find p-th order
iterations based on this function using modular
equations for the theta-functions. In this paper we
construct an infinite family of functions $ \alpha_p $.
Each $ \alpha_p $ gives rise to a $p$-th order
iteration. For $ p = 4$ we obtain a quartic iteration
due to the Borweins but not the one that comes from the
alpha-function. For $ p = 3$ we obtain a cubic
iteration due to the Borweins that does not come from
the alpha-function. For $ p = 7$ we find a septic
iteration that is analogous to the cubic iteration. For
$ p = 9$ we obtain a nonic (ninth order) iteration that
does not seem to come from iterating the cubic twice.
Our method depends on using the computer and a symbolic
algebra package to find and solve certain modular
equations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1996:AGM,
author = "Jonathan A. Borwein and Petr Lison{\v{e}}k and John A.
Macdonald",
title = "Arithmetic--Geometric Means Revisited",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "8",
year = "1996",
bibdate = "Thu Sep 01 10:39:15 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/4/",
abstract = "We use Maple's {\tt gfun} library to study the limit
formulae for a two-term recurrence (iteration) $ A G_N
$, which in the case $ N = 2 $ specializes to the
well-known Arithmetic-Geometric Mean iteration of
Gauss. Our main aim 1s to independently rediscover and
prove the limit formulae for two classical cases ($ N =
2, 3$) in a completely automated manner and to open the
way for studying the remaining cases ($ N > 3$).",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:ASC,
author = "D. Borwein and J. M. Borwein and Xianfu Wang",
title = "Approximate subgradients and coderivatives in {$ {\bf
R}^n $}",
journal = j-SET-VALUED-ANAL,
volume = "4",
number = "4",
pages = "375--398",
year = "1996",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/BF00436112",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J52",
MRnumber = "1422402",
MRreviewer = "Doug Ward",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/152/;
http://link.springer.com/article/10.1007/BF00436112",
abstract = "We show that in two dimensions or higher the
Mordukhovich--Ioffe approximate subgradient and Clarke
subgradient may differ almost everywhere for
real-valued Lipschitz functions. Uncountably many
Fr{\'e}chet differentiable vector-valued Lipschitz
functions differing by more than constants can share
the same Mordukhovich--Ioffe coderivatives. Moreover,
the approximate Jacobian associated with the
Mordukhovich--Ioffe coderivative can be nonconvex
almost everywhere for Fr{\'e}chet differentiable
vector-valued Lipschitz functions. Finally we show that
for vector-valued Lipschitz functions the approximate
Jacobian associated with the Mordukhovich-Ioffe
coderivative can be almost everywhere disconnected.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:BRE,
author = "Jonathan M. Borwein and Rob M. Corless",
title = "Book Review: {{\booktitle{The Encyclopedia of Integer
Sequences}}, by N. J. A. Sloane and Simon Plouffe.
Academic Press, San Diego, CA, 1995. \$44.95. xii + 587
pp., hardcover. ISBN 0-12-558630-2}",
journal = j-SIAM-REVIEW,
volume = "38",
number = "2",
pages = "333--337",
month = jun,
year = "1996",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1038058",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Wed Aug 31 09:45:28 2016",
bibsource = "http://epubs.siam.org/toc/siread/38/2;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "https://www.jstor.org/stable/2132886",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "June 1996",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:BSAa,
author = "J. M. Borwein and J. D. Vanderwerff",
title = "{Banach} spaces that admit support sets",
journal = j-PROC-AM-MATH-SOC,
volume = "124",
number = "3",
pages = "751--755",
year = "1996",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-96-03122-X",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B20 (46B03)",
MRnumber = "1301010",
MRreviewer = "Catherine Finet",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/87/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:BSAb,
author = "J. M. Borwein and J. D. Vanderwerff",
title = "{Banach} spaces that admit support sets",
journal = j-PROC-AM-MATH-SOC,
volume = "124",
number = "3",
pages = "751--756",
month = mar,
year = "1996",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-96-03122-X",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
bibdate = "Fri Aug 12 12:16:08 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/87/;
http://www.ams.org/journals/proc/1996-124-03/S0002-9939-96-03122-X/",
abstract = "It is shown that the existence of a closed convex set
all of whose points are properly supported in a Banach
space is equivalent to the existence of a certain type
of uncountable ordered one-sided biorthogonal system.
Under the continuum hypothesis, we deduce that this
notion is weaker than the existence of an uncountable
biorthogonal system.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1996:CRE,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "A chain rule for essentially smooth {Lipschitz}
functions",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
day = "16",
month = jan,
year = "1996",
bibdate = "Wed Aug 31 14:42:53 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1998:CRE}",
URL = "http://docserver.carma.newcastle.edu.au/151/",
abstract = "In this paper we introduce a new class of real-valued
locally Lipschitz functions, (that are similar in
nature and definition to Valadier's {\em saine\/}
functions) which we call {\em arc-wise essentially
smooth}, and we show that if $ g \colon R^n \to R $ is
arc-wise essentially smooth on $ R^n $ and each
function $ f_j \colon R^m \to R $, $ 1 \leq j \leq n $
is strictly differentiable almost everywhere in $ R^m
$, then $ g \circ f $ is strictly differentiable almost
everywhere in $ R^m $, where $ f \equiv (f_1 f_2,
\ldots, f_n) $. We also show that all the semi-smooth
and pseudo-regular functions are arc-wise essentially
smooth. Thus, we provide a large and robust lattice
algebra of Lipschitz functions whose generalized
derivatives are well-behaved.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:DAM,
author = "Jonathan M. Borwein and Peter B. Borwein and Stephen
Braham and Robert Corless and Loki J{\"o}rgenson",
title = "Digitally Activated Mathematics for a Brave New {World
Wide Web}",
journal = "Education, Research and Perspectives",
volume = "23",
number = "2",
pages = "28--47",
month = dec,
year = "1996",
ISSN = "0311-2543 (print), 1446-0017 (electronic)",
ISSN-L = "0311-2543",
bibdate = "Fri Aug 12 12:03:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue on multimedia technologies and
education.",
URL = "http://docserver.carma.newcastle.edu.au/1533/;
http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13132;
https://search.informit.com.au/documentSummary%3Bdn=970909729%3Bres=IELAPA",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://www.erpjournal.net/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The journal Web site has no online archives before
year 2000.",
}
@TechReport{Borwein:1996:EFEa,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst",
title = "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
compendium of results for arbitrary $k$",
number = "CECM-96-067, OUT-4102-63, hep-th/9611004",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "21",
day = "2",
month = sep,
year = "1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/161",
abstract = "Euler sums (also called Zagier sums) occur within the
context of knot theory and quantum field theory. There
are various conjectures related to these sums whose
incompletion is a sign that both the mathematics and
physics communities do not yet completely understand
the field. Here, we assemble results for Euler\slash
Zagier sums (also known as multidimensional zeta\slash
harmonic sums) of arbitrary depth, including sign
alternations. Many of our results were obtained
empirically and are apparently new. By carefully
compiling and examining a huge data base of high
precision numerical evaluations, we can claim with some
confidence that certain classes of results are
exhaustive. While many proofs are lacking, we have
sketched derivations of all results that have so far
been proved.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:EFEb,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst",
title = "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
compendium of results for arbitrary $k$",
journal = "ArXiv High Energy Physics --- Theory e-prints",
month = nov,
year = "1996",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1996hep.th...11004B;
http://arxiv.org/abs/hep-th/9611004",
abstract = "Euler sums (also called Zagier sums) occur within the
context of knot theory and quantum field theory. There
are various conjectures related to these sums whose
incompletion is a sign that both the mathematics and
physics communities do not yet completely understand
the field. Here, we assemble results for Euler/Zagier
sums (also known as multidimensional zeta/harmonic
sums) of arbitrary depth, including sign alternations.
Many of our results were obtained empirically and are
apparently new. By carefully compiling and examining a
huge data base of high precision numerical evaluations,
we can claim with some confidence that certain classes
of results are exhaustive. While many proofs are
lacking, we have sketched derivations of all results
that have so far been proved.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "hep-th/9611004",
keywords = "High Energy Physics - Theory",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Accepted 31 October 1996.",
}
@Article{Borwein:1996:ETE,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Evaluation of triple {Euler} sums",
journal = j-ELECT-J-COMB,
volume = "3",
number = "1",
pages = "Research Paper 23",
year = "1996",
ISSN = "1077-8926 (print), 1097-1440 (electronic)",
ISSN-L = "1077-8926",
MRclass = "11M99 (11Y60)",
MRnumber = "1401442",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/118/;
http://www.combinatorics.org/Volume_3/Abstracts/v3i1r23.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Electronic Journal of Combinatorics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "27",
}
@Article{Borwein:1996:EUC,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Epigraphical and uniform convergence of convex
functions",
journal = j-TRANS-AM-MATH-SOC,
volume = "348",
number = "4",
pages = "1617--1631",
month = apr,
year = "1996",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-96-01581-4",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "49J45 (46A55 46B20 46N10 52A41)",
MRnumber = "1344203",
MRreviewer = "W. W. Breckner",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/94/;
https://www.jstor.org/stable/2155155",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:GCP,
author = "D. Borwein and J. M. Borwein and P. B. Borwein and R.
Girgensohn",
title = "{Giuga}'s conjecture on primality",
journal = j-AMER-MATH-MONTHLY,
volume = "103",
number = "1",
pages = "40--50",
year = "1996",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2975213",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A25",
MRnumber = "1369150",
MRreviewer = "Andrew Granville",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/88/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:MER,
author = "J. M. Borwein and A. S. Lewis and D. Noll",
title = "Maximum entropy reconstruction using derivative
information. {I}. {Fisher} information and convex
duality",
journal = j-MATH-OP-RES,
volume = "21",
number = "2",
pages = "442--468",
year = "1996",
CODEN = "MOREDQ",
DOI = "https://doi.org/10.1287/moor.21.2.442",
ISSN = "0364-765x (print), 1526-5471 (electronic)",
ISSN-L = "0364-765X",
MRclass = "90C48 (49N15)",
MRnumber = "1397223",
MRreviewer = "Vaithilingam Jeyakumar",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/82/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/moor",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:MSE,
author = "Jonathan Borwein and Peter B. Borwein and Roland
Girgensohn and S. Parnes",
title = "Making sense of experimental mathematics",
journal = j-MATH-INTEL,
volume = "18",
number = "4",
pages = "12--18",
month = "Fall",
year = "1996",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03026747",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "00A35",
MRnumber = "1413248",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/98/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "This entry appears to be contained in
\cite{Octavio:1996:IT}. Is it a separate paper??",
}
@TechReport{Borwein:1996:NSE,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Null sets and essentially smooth {Lipschitz}
functions",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "22",
day = "4",
month = jun,
year = "1996",
bibdate = "Wed Aug 31 15:13:13 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1998:NSE}.",
URL = "http://docserver.carma.newcastle.edu.au/162/",
abstract = "In this paper we extend the notion of a Lebesgue-null
set to a notion which is valid in any completely
metrizable Abelian topological group. We then use this
definition to introduce and study the class of
essentially smooth functions. These are, roughly
speaking, those Lipschitz functions which are smooth
(in each direction) almost everywhere.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Revised January 17th 1997.",
}
@Article{Borwein:1996:PAS,
author = "Jonathan M. Borwein and Alexander Ioffe",
title = "Proximal analysis in smooth spaces",
journal = j-SET-VALUED-ANAL,
volume = "4",
number = "1",
pages = "1--24",
year = "1996",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/BF00419371",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J52 (46N10 58C20)",
MRnumber = "1384247",
MRreviewer = "Philip D. Loewen",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/61/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:PSR,
author = "Jonathan M. Borwein",
title = "Problems and Solutions: Revivals: 10281",
journal = j-AMER-MATH-MONTHLY,
volume = "103",
number = "10",
pages = "911--912",
year = "1996",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1542929",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://links.jstor.org/sici?sici=0002-9890(199612)103:10<911:1>2.0.CO%3B2-5&origin=MSN",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1996:PSS,
author = "Jonathan M. Borwein and Donald A. Darling and D. B.
Tyler",
title = "Problems and Solutions: Solutions: 10281",
journal = j-AMER-MATH-MONTHLY,
volume = "103",
number = "2",
pages = "181--183",
year = "1996",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2975121",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1542802",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1996:SRZ,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "{Srinivasa Ramanujan und die Zahl Pi}. ({German})
[{Srinivasa Ramanujan} and the number $ \pi $]",
crossref = "Faltings:1996:MM",
pages = "60--68",
year = "1996",
bibdate = "Fri Aug 12 14:57:29 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of \cite{Borwein:1988:RP}.",
URL = "http://docserver.carma.newcastle.edu.au/1379/;
https://web.archive.org/web/20170227063951/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
language = "German",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "{Ramanujan} and {Pi}",
}
@Article{Borwein:1996:SSA,
author = "Jonathan Borwein and David Bradley",
title = "Searching Symbolically for {Ap{\'e}ry}-like Formulae
for Values of the {Riemann} Zeta Function",
journal = j-SIGSAM,
volume = "30",
number = "2",
pages = "2--7",
month = jun,
year = "1996",
CODEN = "SIGSBZ",
DOI = "https://doi.org/10.1145/235699.235700",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
URL = "http://docserver.carma.newcastle.edu.au/170/;
http://doi.acm.org/10.1145/235699.235700",
abstract = "We discuss some aspects of the search for identities
using computer algebra and symbolic methods. To keep
the discussion as concrete as possible, we shall focus
on so-called Ap{\'e}ry-like formulae for special values
of the Riemann Zeta function. Many of these results are
apparently new, and much more work needs to be done
before they can be formally proved and properly
classified. A first step in this direction can be found
in [1].",
acknowledgement = ack-nhfb,
acmid = "235700",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
classcodes = "C7310 (Mathematics computing)",
corpsource = "Centre for Exp. and Constructive Math., Simon Fraser
Univ., Burnaby, BC, Canada",
fjournal = "SIGSAM Bulletin (ACM Special Interest Group on
Symbolic and Algebraic Manipulation)",
issue = "116",
issue-date = "June 1996",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
keywords = "algebra; Apery-like formulae; computer; formal proof;
functions; Riemann Zeta function; special values;
symbol manipulation; symbolic methods",
numpages = "6",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1996:VSV,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Viscosity solutions and viscosity subderivatives in
smooth {Banach} spaces with applications to metric
regularity",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "34",
number = "5",
pages = "1568--1591",
year = "1996",
CODEN = "SJCODE",
DOI = "https://doi.org/10.1137/S0363012994268801",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "49L25 (49J52 49N10)",
MRnumber = "1404847",
MRreviewer = "Abderrahim Jourani",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/80/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1996:WOM,
author = "Jonathan M. Borwein and Peter B. Borwein and Robert M.
Corless and Loki J{\"o}rgenson and Nathalie Sinclair",
title = "What is organic mathematics?",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "20",
day = "24",
month = apr,
year = "1996",
bibdate = "Wed Aug 31 14:53:22 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1997:WOM}.",
URL = "http://docserver.carma.newcastle.edu.au/157/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "No abstract in report",
}
@Article{Octavio:1996:IT,
author = "Alfredo Octavio and Jonathan Borwein and Peter B.
Borwein and Roland Girgensohn and S. Parnes",
title = "The ``indexed'' theorem",
journal = j-MATH-INTEL,
volume = "18",
number = "4",
pages = "9--18",
month = sep,
year = "1996",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/bf03026747",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Thu Aug 11 09:28:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:1997:KC,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall",
title = "On the {Khintchine} constant",
journal = j-MATH-COMPUT,
volume = "66",
number = "217",
pages = "417--431",
year = "1997",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-97-00800-4",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y60 (11K50 11Y65)",
MRnumber = "1377659",
MRreviewer = "T. Mets{\"a}nkyl{\"a}",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1997MaCom..66..417B;
http://docserver.carma.newcastle.edu.au/102/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:1997:QP,
author = "David H. Bailey and Jonathan M. Borwein and Peter B.
Borwein and Simon Plouffe",
title = "The quest for pi",
journal = j-MATH-INTEL,
volume = "19",
number = "1",
pages = "50--57",
year = "1997",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03024340",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "01A99",
MRnumber = "1439159",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/164/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InProceedings{Bailey:1997:RME,
author = "D. H. Bailey and J. M. Borwein and P. B. Borwein",
title = "{Ramanujan}, modular equations, and approximations to
pi or {How} to compute one billion digits of pi
[{MR0991866} (90d:11143)]",
crossref = "Borwein:1997:OMP",
pages = "35--71",
year = "1997",
ISSN = "0731-1036",
ISSN-L = "0731-1036",
MRclass = "11Y60 (01A60 11F03 33E20)",
MRnumber = "1483913",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "Reprint of \cite{Borwein:1989:RME}.",
series = "CMS Conference Proceedings",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
http://www.cecm.sfu.ca/organics/papers/borwein/index.html;
https://web.archive.org/web/20170328083101/",
abstract = "The article underlying our contribution started life
in 1986 when David Bailey and Jon and Peter B. Borwein
began to write separate pieces on ``Pi and its
computation'' for the MAA Monthly. With urging from
Herb Wilf (the then editor) the authors joined forces
and a joint paper issued forth that was published in
1989. Since 1989, while the computers have continued to
improve and the computation of has continued unabated,
the underlying mathematical and computational
techniques being employed are still much as described
in the printed piece.\par
We opted to use this article as our contribution to
Organic Mathematics for several reasons: it is
reasonably accessible; it clearly allows for
``enhancement''; it was complete as a written piece and
so allowed us to concentrate on the key issues
underlying the larger project. Moreover, it tells a
3,000 year story touching many themes (from
transcendence theory, to elliptic functions, and the
Fast Fourier Transform) and involving many great
thinkers (Archimedes, Newton, Gauss, Euler, Ramanujan,
Von Neumann, Hilbert). In sum then we felt that the
article provided an exellent test-bed to try out what
would work in a multi-modal mathematical
environment.\par
A project like this presents several challenges for the
mathematician as multi-media author. First, the
technology is changing so quickly that tools uninvented
when the project began are sure to be obsolete before
it is finished. Second, it involves a super-highway to
be sure but one running through terra incognita. At
many levels one must balance the issues of form and
function, speed and scope. The version presently before
you looks little like the one of six months ago ---
small changes to the interface can greatly enhance or
reduce readability.\par
The opportunities are great. Within this article, you
will see the bust of Ramanujan. You can read quotes
from many sources and see part of the original
documents from Hermite, Shanks, von Neumann and others.
You may use ``lattice basis reduction'' over the Web;
plot and compute many fascinating functions. If you
want to try more examples the opportunities will be
there.\par
On the down side, you may plunge off into secondary
links and get lost coming back. You may find the
plethora of hypertext links and options distracting,
and the present limitations of using Maple over the
Internet frustrating.\par
Our hope is that this article and this collection will
play some role in limning the possibilities and
flagging the pot-holes of trying to use these new tools
to engage, educate and excite students, users and
producers of mathematics.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-URL = "http://www.cecm.sfu.ca/organics",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bauschke:1997:CSC,
author = "H. H. Bauschke and J. M. Borwein and A. S. Lewis",
editor = "Yair Censor and Simeon Reich",
booktitle = "Recent Developments in Optimization Theory and
Nonlinear Analysis",
title = "Convex sets and the cyclic projection algorithm",
volume = "204",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "1--38",
year = "1997",
bibdate = "Mon Aug 15 14:42:36 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:1997:LFM,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "{Legendre} functions and the method of random
{Bregman} projections",
journal = j-J-CONVEX-ANAL,
volume = "4",
number = "1",
pages = "27--67",
year = "1997",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49M45 (65K10 90C25)",
MRnumber = "1459881",
MRreviewer = "Alfredo N. Iusem",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/96/;
http://www.heldermann-verlag.de/jca/jca04/jca04002.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bauschke:1997:MCP,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Adrian
S. Lewis",
booktitle = "Recent developments in optimization theory and
nonlinear analysis ({Jerusalem}, 1995)",
title = "The method of cyclic projections for closed convex
sets in {Hilbert} space",
volume = "204",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "1--38",
year = "1997",
DOI = "https://doi.org/10.1090/conm/204/02620",
MRclass = "49M45 (47H99 47N10 65F10 90C25)",
MRnumber = "1442992",
MRreviewer = "Alfredo N. Iusem",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1997:SCH,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Wu Li",
title = "Strong conical hull intersection property, bounded
linear regularity, {Jameson}'s property ({$G$}), and
error bounds in convex optimization",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "30",
day = "26",
month = sep,
year = "1997",
bibdate = "Thu Sep 01 07:28:55 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/195",
abstract = "The strong conical hull intersection property and
bounded linear regularity are properties of a
collection of finitely many closed convex intersecting
sets in Euclidean space. These fundamental notions
occur in various branches of convex optimization
(constrained approximation, convex feasibility
problems, linear inequalities, for instance). It is
shown that the standard constraint qualification from
convex analysis implies bounded linear regularity,
which in turn yields the strong conical hull
intersection property. Jameson's duality for two cones,
which relates bounded linear regularity to property
(G), is re-derived and refined. For polyhedral cones, a
statement dual to Hoffman's error bound result is
obtained. A sharpening of a result on error bounds for
convex inequalities by Auslender and Crouzeix is
presented. Finally, for two subspaces, property (G) is
quantified by the angle between the subspaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1997:ADE,
author = "J. M. Borwein and F. G. Garvan",
title = "Approximations to $ \pi $ via the {Dedekind} eta
function",
crossref = "Borwein:1997:OMP",
pages = "89--115",
year = "1997",
MRclass = "11F20 (11Y60)",
MRnumber = "1483915",
MRreviewer = "Bruce C. Berndt",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CMS Conf. Proc.",
URL = "http://docserver.carma.newcastle.edu.au/158/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1997:AGMa,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic--Geometric Mean and Fast Computation of
Elementary Functions",
crossref = "Berggren:1997:PSB",
pages = "537--552",
year = "1997",
DOI = "https://doi.org/10.1007/978-1-4757-2736-4_56",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Reprint of \cite{Borwein:1984:AGM}.",
URL = "http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_56",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:AGMb,
author = "Jonathan A. Borwein and Petr Lison{\v{e}}k and John A.
Macdonald",
title = "Arithmetic--Geometric Means Revisited",
journal = j-MAPLE-TECH-NEWS,
volume = "4",
number = "1",
pages = "20--27",
month = "Winter",
year = "1997",
ISSN = "1061-5733",
ISSN-L = "1061-5733",
bibdate = "Wed Jul 23 09:11:50 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
note = "Special issue on Maple in the mathematical sciences.",
URL = "http://docserver.carma.newcastle.edu.au/4/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Maple technical newsletter",
journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:AIR,
author = "Jonathan M. Borwein and Petr Lison{\v{e}}k",
title = "Applications of integer relation algorithms",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
day = "18",
month = nov,
year = "1997",
bibdate = "Thu Sep 01 07:39:40 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:AIR}.",
URL = "http://docserver.carma.newcastle.edu.au/198",
abstract = "Let $a$ be a vector of real numbers. By an integer
relation for $a$ we mean a non-zero integer vector $c$
such that $ c a^T = 0$. We discuss the algorithms for
finding such integer relations from the user's point of
view, by presenting examples of their applications and
by reviewing the available software implementations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Submitted to the Proceedings of the 9th International
Conference on Formal Power Series and Algebraic
Combinatorics (FPSAC'97), July 1997, Vienna, Austria,
to appear as a special issue of Discrete Mathematics.",
}
@InProceedings{Borwein:1997:APD,
author = "J. M. Borwein and F. Garvan",
editor = "????",
booktitle = "Organic Mathematics Proceedings, {12 April 1996}",
title = "Approximating Pi with the {Dedekind} eta function",
publisher = "????",
address = "????",
pages = "??--??",
year = "1997",
ISSN = "0731-1036",
bibdate = "Mon Aug 15 14:37:48 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.cecm.sfu.ca/organics",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:CAM,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Combinatorial aspects of multiple zeta values",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "12",
day = "31",
month = jul,
year = "1997",
bibdate = "Thu Sep 01 07:55:12 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/201/",
abstract = "Multiple zeta values (MZVs, also called Euler sums or
multiple harmonic series) are nested generalizations of
the classical Riemann zeta function evaluated at
integer values. The fact that an integral
representation of MZVs obeys a shuffle product rule
allows the possibility of a combinatorial approach to
them. Using this approach we prove a longstanding
conjecture of Don Zagier about MZVs with certain
repeated arguments. We also prove a similar cyclic sum
identity. Finally, we present extensive computational
evidence supporting an infinite family of conjectured
MZV identities that simultaneously generalize the
Zagier identity.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:CBS,
author = "Jon Borwein and Marian Fabian and Jon Vanderwerff",
title = "Characterizations of {Banach} spaces via convex and
other locally {Lipschitz} functions",
journal = "Acta Mathematica Vietnamica",
volume = "22",
number = "1",
pages = "53--69",
year = "1997",
ISSN = "0251-4184 (print), 2315-4144 (electronic)",
ISSN-L = "0251-4184",
MRclass = "46B20 (46G99 52A41)",
MRnumber = "1479738",
MRreviewer = "Warren B. Moors",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special edition in honour of Huang Tuy's seventieth
birthday.",
URL = "http://docserver.carma.newcastle.edu.au/179/",
abstract = "Various properties of Banach spaces, including the
reflexivity and the Schur property of a space, are
characterized in terms of properties of corresponding
classes of locally Lipschitz functions on those
spaces.",
acknowledgement = ack-nhfb,
ajournal = "Acta Math. Vietnam.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Acta Mathematica Vietnamica",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:CFB,
author = "Jon Borwein and Jon Vanderwerff",
title = "Convex functions on {Banach} spaces not containing $
l_1 $",
journal = j-CAN-MATH-BULL,
volume = "40",
number = "1",
pages = "10--18",
year = "1997",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1997-002-1",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "46B20 (46A55 46G05 46N10 52A41)",
MRnumber = "1443721",
MRreviewer = "Li Xin Cheng",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1532/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:CHP,
author = "J. M. Borwein and R. Girgensohn and Xianfu Wang",
title = "On the construction of {H{\"o}lder} and proximal
subderivatives",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "13",
day = "14",
month = mar,
year = "1997",
bibdate = "Thu Sep 01 06:39:15 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1998:CHP}.",
URL = "http://docserver.carma.newcastle.edu.au/186/",
abstract = "We construct Lipschitz functions such that for all $ s
> 0 $ they are s-H{\o}lder, and so proximally,
subdifferentiable only on dyadic rationals and nowhere
else. As applications we construct Lipschitz functions
with prescribed Holder and approximate
subderivatives.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:DDF,
author = "J. M. Borwein and Xianfu Wang",
title = "Distinct differentiable functions may share the same
{Clarke} subdifferential at all points",
journal = j-PROC-AM-MATH-SOC,
volume = "125",
number = "3",
pages = "807--813",
year = "1997",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-97-03654-X",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J52 (26A16 26A24 58C20)",
MRnumber = "1363449",
MRreviewer = "Doug Ward",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/112/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:DEM,
author = "Jonathan Borwein and Michael Monagan",
title = "Differential Equations in {Maple}: a Short Tutorial",
journal = j-MAPLE-TECH-NEWS,
volume = "4",
number = "1",
pages = "55--58",
month = "Winter",
year = "1997",
ISSN = "1061-5733",
ISSN-L = "1061-5733",
bibdate = "Wed Jul 23 09:11:50 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Maple technical newsletter",
journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:EDA,
author = "Jonathan Borwein and David Bradley",
title = "Empirically determined {Ap{\'e}ry}-like formulae for
$ \zeta (4 n + 3) $",
journal = j-EXP-MATH,
volume = "6",
number = "3",
pages = "181--194",
year = "1997",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.1997.10504608",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60 (11M06)",
MRnumber = "1481588",
MRreviewer = "F. Beukers",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/163/;
http://projecteuclid.org/euclid.em/1047920419",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:EFE,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst",
title = "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
compendium of results for arbitrary $k$",
journal = j-ELECT-J-COMB,
volume = "4",
number = "2",
pages = "Research Paper 5",
year = "1997",
ISSN = "1077-8926 (print), 1097-1440 (electronic)",
ISSN-L = "1077-8926",
MRclass = "11M41 (11Y60)",
MRnumber = "1444152",
MRreviewer = "Pavel Guerzhoy",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "The Wilf Festschrift (Philadelphia, PA, 1996).",
URL = "http://www.combinatorics.org/Volume_4/Abstracts/v4i2r5.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Electronic Journal of Combinatorics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "21",
}
@Article{Borwein:1997:ESLa,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Essentially smooth {Lipschitz} functions",
journal = j-J-FUNCT-ANAL,
volume = "149",
number = "2",
pages = "305--351",
year = "1997",
CODEN = "JFUAAW",
DOI = "https://doi.org/10.1006/jfan.1997.3101",
ISSN = "0022-1236 (print), 1096-0783 (electronic)",
ISSN-L = "0022-1236",
MRclass = "58C20 (46G05 46N10 49J52)",
MRnumber = "1472362",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/95/;
http://www.sciencedirect.com/science/article/pii/S0022123697931013",
abstract = "In this paper we address some of the most fundamental
questions regarding the differentiability structure of
locally Lipschitz functions defined on separable Banach
spaces. For example, we examine the relationship
between integrability,D-representability, and strict
differentiability. In addition to this, we show that on
any separable Banach space there is a significant
family of locally Lipschitz functions that are
integrable,D-representable and possess desirable
differentiability properties. We also present some
striking applications of our results to distance
functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Functional Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/00221236",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1997:ESLb,
author = "Jonathan M. Borwein and Warren B. Moors",
editor = "F. Cucker and M. Shub",
booktitle = "Foundations of computational mathematics ({Rio de
Janeiro, 1997})",
title = "Essentially smooth {Lipschitz} functions: compositions
and chain rules",
publisher = pub-SV,
address = pub-SV:adr,
pages = "16--22",
year = "1997",
MRclass = "49J52 (46N10 58C20)",
MRnumber = "1661969",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:GYI,
author = "Jonathan M. Borwein",
title = "A generalization of {Young}'s $ l^p $ inequality",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "6",
day = "24",
month = jun,
year = "1997",
bibdate = "Thu Sep 01 06:48:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/189/",
abstract = "We show that, for positive real numbers with $ a \geq
1 + \sum_i^N \alpha_i $, the function\par
$$ \frac {r^a / a}{| \Prod_{i = 1}^N x_i^{\alpha_i}}
$$ \par
has a convex conjugate of the same form and so, in
particular, obtain a clean proof that $f$ is convex.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1997:LFM,
author = "Jonathan M. Borwein and Warren B. Moors",
editor = "B. M. Glover and D. Ralph",
booktitle = "{Proceedings of the Optimization Miniconference III,
University of Melbourne, July 1996}",
title = "{Lipschitz} functions with minimal {Clarke}
subdifferential mappings",
publisher = "University of Ballarat",
address = "Ballarat, VI, Australia",
pages = "5--12",
year = "1997",
bibdate = "Mon Aug 15 14:41:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/178/",
abstract = "In this paper we characterise, in terms of the upper
Dini derivative, when the Clarke subdifferential
mapping of a real-valued locally Lipschitz function is
a minimal weak$^\star $ cusco. We then use this
characterisation to deduce some new results concerning
Lipschitz functions with minimal subdifferential
mappings.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:LFP,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "{Lipschitz} functions with prescribed derivatives and
subderivatives",
journal = j-NONLINEAR-ANAL,
volume = "29",
number = "1",
pages = "53--63",
year = "1997",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(96)00050-8",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J52 (46G05 47N10 58C05)",
MRnumber = "1447569",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/92/;
http://www.sciencedirect.com/science/article/pii/S0362546X96000508",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Clarke subgradient; differentiability; Haar-null set;
Lipschitz functions; maximal cyclically monotone
operator; minimal cusco",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:1997:MIM,
editor = "Jonathan M. Borwein and Carolyn Watters and Ephraim J.
Borowski",
title = "{The MathResource interactive math dictionary: version
1.0. The math visualizing program Newton and Leibniz
didn't have. [An essential tool for high school,
college and university students, teachers, scientists,
engineers, researchers and anyone else who uses or
studies mathematics]}",
publisher = "MathResources, Inc.",
address = "Halifax, NS, Canada",
pages = "????",
year = "1997",
ISBN = "3-540-14650-4",
ISBN-13 = "978-3-540-14650-6",
LCCN = "????",
bibdate = "Tue Aug 16 09:10:33 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
URL = "http://www.mathresources.com",
ZMnumber = "0884.00004",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "1997 Eddie Award for best post-secondary reference
software, by Education Software Review. MathProbe Media
\& Methods 1998 Awards Portfolio winner. LetsDoMath,
2000 Technology \& Learning Award Winner. Integrated
with MapleSoft help files in Maple 9.5.",
}
@Article{Borwein:1997:NEW,
author = "Jon Borwein and Michael Monagan",
title = "A Note from the {Editors}: Winter 1997, Vol. 4, No.
1",
journal = j-MAPLE-TECH-NEWS,
volume = "4",
number = "1",
pages = "1--1",
month = "Winter",
year = "1997",
ISSN = "1061-5733",
ISSN-L = "1061-5733",
bibdate = "Wed Jul 23 09:11:50 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Maple technical newsletter",
journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:NSP,
author = "Jonathan M. Borwein and Alejandro Jofr{\'e}",
title = "A nonconvex separation property in {Banach} spaces",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "11",
day = "13",
month = nov,
year = "1997",
bibdate = "Thu Sep 01 07:36:57 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1998:NSP}.",
URL = "http://docserver.carma.newcastle.edu.au/197",
abstract = "We establish, in infinite dimensional Banach space, a
nonconvex separation property for general closed sets
that is an extension of Hahn-Banach separation theorem.
We provide some consequences in optimization, in
particular the existence of singular multipliers and
show the relation of our principle with the extremal
principle of Mordukhovich.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:OJP,
author = "Jonathan Borwein and Richard Smith",
title = "Online journal publication: two views from the
electronic trenches",
journal = "Canadian Journal of Communication",
volume = "22",
number = "??",
pages = "135--152",
month = "????",
year = "1997",
DOI = "",
bibdate = "Mon Aug 15 14:35:28 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://edie.cprost.sfu.ca/~scom",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Scholarly Communication in the Next Millennium, March
1997. Excerpted in extenso in Active Voice, the
national bi-monthly newsletter of the Editors'
Association of Canada.",
}
@InCollection{Borwein:1997:PEN,
author = "J. M. Borwein and P. B. Borwein and K. Dilcher",
title = "Pi, {Euler} Numbers, and Asymptotic Expansions",
crossref = "Berggren:1997:PSB",
pages = "642--648",
year = "1997",
DOI = "https://doi.org/10.1007/978-1-4757-2736-4_65",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1583/;
http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_65",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:PSS,
author = "David Borwein and Jonathan Borwein and
Heinz-J{\"u}rgen Seiffert and Robert D. Brown and Pawel
Szeptycki",
title = "Problems and Solutions: Solutions: 10335",
journal = j-AMER-MATH-MONTHLY,
volume = "104",
number = "1",
pages = "72--74",
year = "1997",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2974831",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1542940",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1997:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, Modular Equations, and Approximations to
Pi or How to Compute One Billion Digits of Pi",
crossref = "Berggren:1997:PSB",
pages = "??--??",
year = "1997",
DOI = "https://doi.org/10.1007/978-1-4757-2736-4_64",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64;
http://www.cecm.sfu.ca/organics/papers/borwein/index.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:SAD,
author = "J. M. Borwein and W. Sun",
title = "The stability analysis of dynamic {SPECT} systems",
journal = j-NUM-MATH,
volume = "77",
number = "3",
pages = "283--298",
year = "1997",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110050287",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65R30 (44A12 65R20 92C55)",
MRnumber = "1469673",
MRreviewer = "Dominikus Noll",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/99/;
http://link.springer.com/article/10.1007/s002110050287",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:SAR,
author = "Jonathan M. Borwein and Jay Treiman and Qiji Zhu",
title = "Sensitivity analysis in reflexive {Banach} spaces",
month = aug,
year = "1997",
bibdate = "Tue Aug 16 10:14:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:SDIa,
author = "Jonathan M. Borwein",
title = "Symbolically discovered identities for ZETA(4N+3) and
multidimensional polylogarithms",
day = "31",
month = jul,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Penn State Number Theory Conference, July 31--Aug 3.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:SDIb,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Separable determination of integrability and
minimality of the {Clarke} subdifferential mapping",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "10",
day = "30",
month = sep,
year = "1997",
bibdate = "Thu Sep 01 07:33:19 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:SDI}.",
URL = "http://docserver.carma.newcastle.edu.au/196",
abstract = "In this paper we show that the study of integrability
and D-representability of Lipschitz functions defined
on arbitrary Banach spaces reduces to the study of
these properties on separable Banach spaces",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:SRM,
author = "Jonathan M. Borwein and Warren B. Moors and Yongheng
Shao",
title = "Subgradient representation of multifunctions",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "14",
day = "21",
month = feb,
year = "1997",
bibdate = "Wed Aug 31 15:45:10 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1999:SRM}.",
URL = "http://docserver.carma.newcastle.edu.au/184/",
abstract = "We provide necessary and sufficient conditions for a
minimal upper semicontinuous multifunction defined on a
separable Banach space to be the subdifferential
mapping of a Lipschitz function.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1997:SRR,
author = "J. M. Borwein and E. Wong",
editor = "L. Vinet",
booktitle = "Advances in mathematical sciences: {CRM}'s 25 years
({Montreal}, {PQ}, 1994)",
title = "A survey of results relating to {Giuga}'s conjecture
on primality",
volume = "11",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "13--27",
year = "1997",
MRclass = "11A51 (11Y11)",
MRnumber = "1479668",
MRreviewer = "Andrew Granville",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CRM Proc. Lecture Notes",
URL = "http://docserver.carma.newcastle.edu.au/101/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1997:VAN,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Variational analysis in nonreflexive spaces and
applications to control problems with {$ L^1 $}
perturbations",
journal = j-NONLINEAR-ANAL,
volume = "28",
number = "5",
pages = "889--915",
year = "1997",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/0362-546X(95)00186-Y",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49K40",
MRnumber = "1422192",
MRreviewer = "Vera Zeidan",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/78/;
http://www.sciencedirect.com/science/article/pii/0362546X9500186Y",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Weak-Hadamard sub-derivatives;
Clarke-subdifferentials; control system;
$G$-subdifferentials; H{\"o}lder sub-derivatives;
infinite horizon problems; sensitivity analysis; smooth
renorms; variational principles",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:1997:WOM,
author = "Jonathan M. Borwein and Peter B. Borwein and Robert M.
Corless and Loki J{\"o}rgenson and Nathalie Sinclair",
title = "What is organic mathematics?",
crossref = "Borwein:1997:OMP",
pages = "1--18",
year = "1997",
ISSN = "0731-1036",
ISSN-L = "0731-1036",
MRclass = "00A99 (00A30 01A99)",
MRnumber = "1483911",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CMS/AMS Conference Proceedings",
URL = "http://docserver.carma.newcastle.edu.au/157/;
http://www.cecm.sfu.ca/organics",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Galvin:1997:PSP,
author = "Fred Galvin and Franz Rothe and Wen-Xiu Ma and Dan
Sachelarie and Vlad Sachelarie and Yury J. Ionin and
Robin R. Lewis and Joseph Rosenblatt and Jonathan M.
Borwein and C. G. Pinner",
title = "Problems and Solutions: Problems: 10599--10605",
journal = j-AMER-MATH-MONTHLY,
volume = "104",
number = "6",
pages = "566--567",
year = "1997",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2975086",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1543038",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1998:COM,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "Conical open mapping theorems and regularity",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "14",
day = "10",
month = nov,
year = "1998",
bibdate = "Thu Sep 01 08:35:40 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bauschke:1999:COM}.",
URL = "http://docserver.carma.newcastle.edu.au/208/",
abstract = "Suppose $T$ is a continuous linear operator between
two Hilbert spaces $X$ and $Y$ and let $K$ be a closed
convex nonempty cone in $X$. We investigate the
possible existence of $ \delta > 0$ such that $ \delta
B_Y \cap T(K) \subseteq T(B_X \cap K)$, where $ B_X$, $
B_Y$ denote the closed unit balls in $X$ and $Y$
respectively. This property, which we call openness
relative to $K$, is a generalization of the classical
openness of linear operators. We relate relative
openness to Jameson's property (G), to the strong
conical hull intersection property, to bounded linear
regularity, and to metric regularity. Our results allow
a simple construction of two closed convex cones that
have the strong conical hull intersection property but
fail to be boundedly linearly regular.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:1998:MRS,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Paul
Tseng",
title = "Metric regularity, strong {CHIP}, and {CHIP} are
distinct properties",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "17",
day = "20",
month = jul,
year = "1998",
MRclass = "90C25 (46C05, 52A15, 52A20)",
bibdate = "Thu Sep 01 08:17:03 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/204",
abstract = "Metric regularity, the strong conical hull
intersection property (strong CHIP), and the conical
hull intersection property (CHIP) are properties of a
collection of finitely many closed convex intersecting
sets in Euclidean space. It was shown recently that
these properties are fundamental in several branches of
convex optimization, including convex feasibility
problems, error bounds, Fenchel duality, and
constrained approximation. It was known that regularity
implies strong CHIP, which in turn implies CHIP;
moreover, the three properties always hold for
subspaces. The question whether or not converse
implications are true for general convex sets was
open.\par
We show that --- even for convex cones --- the converse
implications need not hold by constructing
counter-examples in $ \mathbb {R}^4 $.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:BHS,
author = "Jonathan M. Borwein",
title = "{Brouwer--Heyting} sequences converge",
journal = j-MATH-INTEL,
volume = "20",
number = "1",
pages = "14--15",
year = "1998",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03024393",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "11A63",
MRnumber = "1601815",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CAMa,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Combinatorial aspects of multiple zeta values",
journal = "ArXiv Mathematics e-prints",
month = dec,
year = "1998",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1998math.....12020B;
http://docserver.carma.newcastle.edu.au/201/",
abstract = "Multiple zeta values (MZVs, also called Euler sums or
multiple harmonic series) are nested generalizations of
the classical Riemann zeta function evaluated at
integer values. The fact that an integral
representation of MZVs obeys a shuffle product rule
allows the possibility of a combinatorial approach to
them. Using this approach we prove a longstanding
conjecture of Don Zagier about MZVs with certain
repeated arguments. We also prove a similar cyclic sum
identity. Finally, we present extensive computational
evidence supporting an infinite family of conjectured
MZV identities that simultaneously generalize the
Zagier identity.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/9812020",
keywords = "Number Theory, Combinatorics, Numerical Analysis,
05A19, 11M99, 68R15 (Primary) 11Y99 (Secondary)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CAMb,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Combinatorial aspects of multiple zeta values",
journal = j-ELECT-J-COMB,
volume = "5",
pages = "Research Paper 38",
year = "1998",
ISSN = "1077-8926 (print), 1097-1440 (electronic)",
ISSN-L = "1077-8926",
MRclass = "11M41 (05A19 11Y60)",
MRnumber = "1637378",
MRreviewer = "Jerzy Browkin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/201/;
http://www.combinatorics.org/Volume_5/Abstracts/v5i1r38.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Electronic Journal of Combinatorics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "12",
}
@TechReport{Borwein:1998:CDA,
author = "Jonathan M. Borwein and Pierre Mar{\'e}chal and David
Naugler",
title = "A convex dual approach to the computation of {NMR}
complex spectra",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "14",
day = "10",
month = nov,
year = "1998",
bibdate = "Thu Sep 01 08:31:11 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:CDA}.",
URL = "http://docserver.carma.newcastle.edu.au/207/",
abstract = "The particular entropy method proposed by Hoch {\em et
al.} [7] for the computation of NMR complex spectra
allows an elegant application of the concepts of
duality theory. Correspondingly, duality theory casts
new light on their choice of entropy. The purpose of
this paper is to present the relevant theoretical
developments together with some numerical
illustrations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "convex duality; Entropy optimization; nuclear magnetic
resonance; spectral analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CHP,
author = "J. M. Borwein and R. Girgensohn and Xianfu Wang",
title = "On the construction of {H{\"o}lder} and proximal
subderivatives",
journal = j-CAN-MATH-BULL,
volume = "41",
number = "4",
pages = "497--507",
year = "1998",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1998-065-9",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "49J52 (26A16 26A24)",
MRnumber = "1658271",
MRreviewer = "Lionel Thibault",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/186/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CML,
author = "David Borwein and Jonathan M. Borwein and Christopher
Pinner",
title = "Convergence of {Madelung}-like lattice sums",
journal = j-TRANS-AM-MATH-SOC,
volume = "350",
number = "8",
pages = "3131--3167",
month = aug,
year = "1998",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-98-01983-7",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11P21 (11M41 11Z05 30B50 40A05)",
MRnumber = "1433111",
MRreviewer = "Hartmut Menzer",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/104/;
https://www.jstor.org/stable/117772",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CMV,
author = "J. M. Borwein and Xianfu Wang",
title = "The converse of the mean value theorem may fail
generically",
journal = j-AMER-MATH-MONTHLY,
volume = "105",
number = "9",
pages = "847--848",
month = nov,
year = "1998",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2589216",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "26A24",
MRnumber = "1650850",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1530/;
https://www.jstor.org/stable/2589216",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:CRE,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "A chain rule for essentially smooth {Lipschitz}
functions",
journal = j-SIAM-J-OPT,
volume = "8",
number = "2",
pages = "300--308",
year = "1998",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/S1052623496297838",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "49J52 (46N10 58C20)",
MRnumber = "1618794",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/151/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1998:CSR,
author = "Jonathan M. Borwein and David M. Bradley and Richard
E. Crandall",
title = "Computational Strategies for the {Riemann} Zeta
Function",
type = "Report",
number = "CECM-98-118",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "68",
day = "30",
month = oct,
year = "1998",
bibdate = "Mon Oct 24 11:29:15 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Published in \cite{Borwein:2000:CSR}.",
URL = "http://docserver.carma.newcastle.edu.au/211;
http://people.reed.edu/~crandall/papers/attach01.pdf",
abstract = "We provide a compendium of evaluation methods for the
Riemann zeta function, presenting formulae ranging from
historical attempts to recently found convergent series
to curious oddities old and new. We concentrate
primarily on practical computational issues, such
issues depending on the domain of the argument, the
desired speed of computation, and the incidence of what
we call ``value recycling.''",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August 2016);
Richard Eugene Crandall (29 December 1947--20 December
2012)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1998:DIS,
author = "J. M. Borwein and S. P. Fitzpatrick",
title = "Duality inequalities and sandwiched functions",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "15",
day = "8",
month = jul,
year = "1998",
MRclass = "49J52, 90C25 (26B25, 46N10, 47H10, 52A41)",
bibdate = "Thu Sep 01 08:12:48 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/204",
abstract = "We establish a mixed convex-Lipschitz mean value
inequality from which recent results of Clarke and
Ledyaev and of Lewis and Ralph follow naturally. We
also provide various refinements and extensions.
Finally, we answer affirmatively several open questions
on the existence of ``squeeze'' theorems for a finite
number of Lipschitz functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Ekeland variational principle; Fenchel duality;
mean-value inequalities; Nonconvex separation; sandwich
theorem; Schauder fixed point theorem",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:DRDa,
author = "Jonathan M. Borwein and David J. Broadhurst",
title = "Determinations of rational {Dedekind}-zeta invariants
of hyperbolic manifolds and {Feynman} knots and links",
journal = "ArXiv High Energy Physics --- Theory e-prints",
month = nov,
year = "1998",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1998hep.th...11173B;
http://arxiv.org/abs/hep-th/9811173;
http://docserver.carma.newcastle.edu.au/213/",
abstract = "We identify 998 closed hyperbolic 3-manifolds whose
volumes are rationally related to Dedekind zeta values,
with coprime integers $a$ and $b$ giving $ a / {\rm
bvol}(M) = ( - D)^{3 / 2} / (2 \pi)^{2n - 4}
(\zeta_K(2)) / (2 \zeta (2))$ for a manifold $M$ whose
invariant trace field $K$ has a single complex place,
discriminant $D$, degree $n$, and Dedekind zeta value $
\zeta_K(2)$. The largest numerator of the 998
invariants of Hodgson--Weeks manifolds is,
astoundingly, $ a = 2^4 \times 23 \times 37 \times 691
= 9 \, 408 \, 656$; the largest denominator is merely $
b = 9$. We also study the rational invariant $ a / b$
for single-complex-place cusped manifolds,
complementary to knots and links, both within and
beyond the Hildebrand-Weeks census. Within the censi,
we identify 152 distinct Dedekind zetas rationally
related to volumes. Moreover, 91 census manifolds have
volumes reducible to pairs of these zeta values.
Motivated by studies of Feynman diagrams, we find a
10-component 24-crossing link in the case $ n = 2$ and
$ D = - 20$. It is one of 5 alternating platonic links,
the other 4 being quartic. For 8 of 10 quadratic fields
distinguished by rational relations between Dedekind
zeta values and volumes of Feynman orthoschemes, we
find corresponding links. Feynman links with $ D = -
39$ and $ D = - 84$ are missing; we expect them to be
as beautiful as the 8 drawn here. Dedekind-zeta
invariants are obtained for knots from Feynman diagrams
with up to 11 loops. We identify a sextic 18-crossing
positive Feynman knot whose rational invariant, $ a / b
= 26$, is 390 times that of the cubic 16-crossing
non-alternating knot with maximal $ D_9$ symmetry. Our
results are secure, numerically, yet appear very hard
to prove by analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "hep-th/9811173",
keywords = "High Energy Physics - Theory, Mathematics - Classical
Analysis and ODEs, Mathematics - Geometric Topology,
Mathematics - Number Theory",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1998:DRDb,
author = "Jonathan M. Borwein and David J. Broadhurst",
title = "Determinations of rational {Dedekind}-zeta invariants
of hyperbolic manifolds and {Feynman} knots and links",
type = "CECM Preprint",
number = "CECM-98-120, OUT-4102-76, hep-th/9811173",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "53",
month = nov,
year = "1998",
bibdate = "Tue Aug 16 10:14:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "arXiv preprint hep-th/9811173.",
URL = "http://docserver.carma.newcastle.edu.au/213/",
abstract = "We identify 998 closed hyperbolic 3-manifolds whose
volumes are rationally related to Dedekind zeta values,
with coprime integers $a$ and $b$ giving\par
$$ \frac {a}{b} \mathrm {vol}(\mathcal {M}) = \frac {(
- D)^{3 / 2}}{(2 \pi)^{2 n - 4}} \frac {\zeta_K(2)}{2
\zeta (2)} $$ \par
for a manifold $M$ whose invariant trace field $K$ has
a single complex place, discriminant $D$, degree $n$,
and Dedekind zeta value $ \zeta_K(2)$. The largest
numerator of the 998 invariants of Hodgson-Weeks
manifolds is, astoundingly, $ a = 2^4 \times 23 \times
37 \times 691 = 9, 408, 656$; the largest denominator
is merely $ b = 9$. We also study the rational
invariant $ a / b$ for single-complex-place cusped
manifolds, complementary to knots and links, both
within and beyond the Hildebrand-Weeks census. Within
the censi, we identify 152 distinct Dedekind zetas
rationally related to volumes. Moreover, 91 census
manifolds have volumes reducible to pairs of these zeta
values. Motivated by studies of Feynman diagrams, we
find a 10-component 24-crossing link in the case $ n =
2$ and $ D = - 20$. It is one of 5 alternating platonic
links, the other 4 being quartic. For 8 of 10 quadratic
fields distinguished by rational relations between
Dedekind zeta values and volumes of Feynman
orthoschemes, we find corresponding links. Feynman
links with $ D = - 39$ and $ D = - 84$ are missing; we
expect them to be as beautiful as the 8 drawn here.
Dedekind-zeta invariants are obtained for knots from
Feynman diagrams with up to 11 loops. We identify a
sextic 18-crossing positive Feynman knot whose rational
invariant, $ a / b = 26$, is 390 times that of the
cubic 16-crossing non-alternating knot with maximal $
D_g$ symmetry. Our results are secure, numerically, yet
appear very hard to prove by analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1998:ETE,
author = "Jonathan M. Borwein and Robert M. Corless",
title = "Emerging tools for experimental mathematics",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "28",
day = "27",
month = nov,
year = "1998",
bibdate = "Thu Sep 01 08:05:55 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1999:ETE}.",
URL = "http://docserver.carma.newcastle.edu.au/203",
abstract = "Using mostly elementary examples, we discuss the use
of some recent and emerging tools for experimental
mathematics. The tools discussed include so-called
``inverse symbolic computation'', lattice reduction
algorithms such as ``LLL'', and ``PSLQ'', and Sloane
and Plouffe's integer sequence lookup program.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:GYI,
author = "Jonathan M. Borwein",
title = "A generalization of {Young}'s $ l^p $ inequality",
journal = j-MATH-INEQUAL-APPL,
volume = "1",
number = "1",
pages = "131--136",
year = "1998",
DOI = "https://doi.org/10.7153/mia-01-11",
ISSN = "1331-4343 (print), 1848-9966 (electronic)",
ISSN-L = "1331-4343",
MRclass = "90C25 (26B25 52A41)",
MRnumber = "1492917",
MRreviewer = "G{\'e}rard Lebourg",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/189/",
acknowledgement = ack-nhfb,
ajournal = "Math. Inequal. Appl.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Inequalities \& Applications",
journal-URL = "http://mia.ele-math.com/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:LCE,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Limiting convex examples for nonconvex subdifferential
calculus",
journal = j-J-CONVEX-ANAL,
volume = "5",
number = "2",
pages = "221--235",
year = "1998",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49J52 (26B05)",
MRnumber = "1670340",
MRreviewer = "Lionel Thibault",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/191/;
http://www.heldermann-verlag.de/jca/jca05/j163.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1998:LFM,
author = "Jonathan M. Borwein and Xianfu Wang",
title = "{Lipschitz} functions with maximal {Clarke}
subdifferentials are generic",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
day = "11",
month = sep,
year = "1998",
bibdate = "Thu Sep 01 08:26:34 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:LFM}.",
URL = "http://docserver.carma.newcastle.edu.au/206/",
abstract = "We show that on a separable Banach space most
Lipschitz functions have maximal Clarke subdifferential
mappings. In particular, the generic nonexpansive
function has the dual unit ball as its Clarke
subdifferential at every point. Diverse corollaries are
given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:MPW,
author = "Jonathan Borwein",
title = "Mathematical Publication on the {Web}",
journal = j-SIGSAM,
volume = "32",
number = "1",
pages = "4--7",
month = mar,
year = "1998",
CODEN = "SIGSBZ",
DOI = "https://doi.org/10.1145/294833.294836",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
URL = "http://docserver.carma.newcastle.edu.au/190/;
http://doi.acm.org/10.1145/294833.294836",
acknowledgement = ack-nhfb,
acmid = "294836",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIGSAM Bulletin (ACM Special Interest Group on
Symbolic and Algebraic Manipulation)",
issue = "123",
issue-date = "March 1998",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
numpages = "4",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:NCC,
author = "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
Zhu",
title = "Necessary conditions for constrained optimization
problems with semicontinuous and continuous data",
journal = j-TRANS-AM-MATH-SOC,
volume = "350",
number = "6",
pages = "2409--2429",
year = "1998",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-98-01984-9",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "90C48 (49J52)",
MRnumber = "1433112",
MRreviewer = "B. Mordukhovich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/116/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:NSE,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Null sets and essentially smooth {Lipschitz}
functions",
journal = j-SIAM-J-OPT,
volume = "8",
number = "2",
pages = "309--323",
year = "1998",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/S1052623496305213",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "49J52 (46N10 58C20)",
MRnumber = "1618798",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/162/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1998:NSP,
author = "Jonathan M. Borwein and Alejandro Jofr{\'e}",
title = "A nonconvex separation property in {Banach} spaces",
journal = j-Z-OPER-RES,
volume = "48",
number = "2",
pages = "169--179",
year = "1998",
CODEN = "ZMMRFZ",
DOI = "https://doi.org/10.1007/s001860050019",
ISSN = "1432-2994 (print), 1432-5217 (electronic)",
ISSN-L = "1432-2994",
MRclass = "46B20 (46A22 46N10 49J53 90C48)",
MRnumber = "1662819",
MRreviewer = "S. Simons",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Set-valued optimization.",
URL = "http://docserver.carma.newcastle.edu.au/197/",
acknowledgement = ack-nhfb,
ajournal = "ZOR---Math. Methods Oper. Res.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical
Methods of Operations Research",
journal-URL = "http://link.springer.com/journal/186",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxjournal = "Math. Methods Oper. Res.",
}
@Book{Borwein:1998:PAS,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Pi and the {AGM}: A study in analytic number theory
and computational complexity",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xvi + 414",
year = "1998",
ISBN = "0-471-83138-7, 0-471-31515-X (paperback)",
ISBN-13 = "978-0-471-83138-9, 978-0-471-31515-5 (paperback)",
MRclass = "11Y60 (11B65 68Q25)",
MRnumber = "1641658",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of the 1987 original.",
series = "Canadian Mathematical Society Series of Monographs and
Advanced Texts, 4",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
shorttableofcontents = "1. Complete Elliptic Integrals and the
Arithmetic--Geometric Mean Iteration \\
2. Theta Functions and the Arithmetic--Geometric Mean
Iteration \\
3. Jacobi's Triple-Product and Some Number Theoretic
Applications \\
4. Higher Order Transformations \\
5. Modular Equations and Algebraic Approximations to $
\pi $ \\
6. The Complexity of Algebraic Functions \\
7. Algorithms for the Elementary Functions \\
8. General Means and Iterations \\
9. Some Additional Applications \\
10. Other Approaches to the Elementary Functions \\
11. Pi",
subject = "Number theory; Computational complexity; Elliptic
functions; Pi; Nombres, Th{\'e}orie des; Complexit{\'e}
de calcul (Informatique); Fonctions elliptiques;
Computational complexity; Elliptic functions; Number
theory; Pi; Algebraische Funktion;
Arithmetisch-geometrisches Mittel; Berechnung;
Geschichte; Pi (Zahl); Nombres, Th{\'e}orie des;
Complexit{\'e} de calcul (informatique); Fonctions
elliptiques; Pi (le nombre); Arithmetisch-geometrisches
Mittel; Algebraische Funktion; Pi (Zahl); Berechnung;
Geschichte; moyenne arithm{\'e}tique; moyenne
g{\'e}om{\'e}trique; it{\'e}ration; fonction
elliptique; complexit{\'e} calcul; th{\'e}orie nombre",
tableofcontents = "1 Complete Elliptic Integrals and the
Arithmetic-Geometric Mean Iteration / 1 \\
1.1 The Arithmetic--Geometric Mean Iteration / 1 \\
1.2 Gauss's Derivation of the Fundamental Limit Formula
/ 5 \\
1.3 Basic Properties of Complete Elliptic Integrals / 7
\\
1.4 Quadratic Transformations and Iterations and a
Third Proof of the Fundamental Limit Formula / 11 \\
1.5 Jacobi's Differential Equation and a Fourth Proof
of the Fundamental Limit Theorem / 18 \\
1.6 Legendre's Relation / 23 \\
1.7 Elliptic Functions / 28 \\
2 Theta Functions and the Arithmetic--Geometric Mean
Iteration / 33 \\
2.1 A Theta Series Solution to the AGM / 33 \\
2.2 Poisson Summation / 36 \\
2.3 Poisson Summation and the AGM / 40 \\
2.4 The Derived Iteration and Some Convergence Results
/ 44 \\
2.5 Two Algorithms for 7T / 46 \\
2.6 General Theta Functions / 52 \\
2.7 The Landen Transformation / 57 \\
3 Jacobi's Triple-Product and Some Number Theoretic
Applications / 62 \\
3.1 Jacobi's Triple-Product Identity / 62 \\
3.2 Some Further Theta Function Identities / 67 \\
3.3 A Combinatorial Approach to the Triple-Product
Identity / 76 \\
3.4 Bressoud's ``Easy Proof'' of the Rogers--Ramanujan
Identities / 78 \\
3.5 Some Number Theoretic Applications / 81 \\
3.6 The Mellin Transform and the Zeta Function / 87 \\
3.7 Evaluation of Sums of Reciprocals of Fibonacci
Sequences / 91 \\
4 Higher Order Transformations / 102 \\
4.1 A First Approach to Higher Order Transformations /
102 \\
4.2 An Elementary Transcendental Approach to Higher
Order Transformations / 109 \\
4.3 Elliptic Modular Functions / 112 \\
4.4 The Modular Equations for $\lambda$ and $j$ / 119
\\
4.5 The Modular Equation in $u$--$v$ Form / 126 \\
4.6 The Multiplier / 136 \\
4.7 Cubic Modular Identities / 142 \\
5 Modular Equations and Algebraic Approximations to $
\pi $ / 152 \\
5.1 Singular Values of the Second Kind / 152 \\
5.2 Calculation of $\alpha$ / 155 \\
5.3 Further Formulae for $\alpha$ / 164 \\
5.4 Recursive Approximation to $ \pi $ / 169 \\
5.5 Generalized Elliptic Integrals and Rational and
Algebraic Series for $ 1 / \pi $ and $ 1 / K $ / 177
\\
5.6 Other Approximations / 191 \\
6 The Complexity of Algebraic Functions / 200 \\
6.1 Complexity Concerns / 200 \\
6.2 The Fast Fourier Transform (FFT) / 204 \\
6.3 Fast Multiplication / 209 \\
6.4 Newton's Method and the Complexity of Algebraic
Functions / 212 \\
7 Algorithms for the Elementary Functions / 219 \\
7.1 $ \pi $ and Log / 219 \\
7.2 Theta Function Algorithms for Log / 224 \\
7.3 The Complexity of Elementary and Elliptic Functions
/ 226 \\
8 General Means and Iterations / 230 \\
8.1 Abstract Means / 230 \\
8.2 Equivalence of Means / 239 \\
8.3 Compound Means / 243 \\
8.4 Convergence Rates and Some Examples / 249 \\
8.5 Carlson's Integrals and More Examples 256 / 281 \\
8.6 Series Expansions of Certain Means / 263 \\
8.7 Multidimensional Means and Iterations / 266 \\
8.8 Algebraic Iterations and Functional Relations / 273
\\
9 Some Additional Applications / 281 \\
9.1 Sums of Two Squares / 281 \\
9.2 (Chemical) Lattice Sums / 288 \\
9.3 Odd-Dimensional Sums and Benson's Formula / 301 \\
9.4 The Quintuple-Product Identity / 306 \\
9.5 Quintic and Septic Multipliers and Iterations / 309
\\
10 Other Approaches to the Elementary Functions / 316
\\
10.1 Classical Approximations / 316 \\
10.2 Reduced Complexity Methods / 326 \\
11 Pi / 337 \\
11.1 On the History of the Calculation of $ \pi $ / 337
\\
11.2 On the Transcendence of $ \pi $ / 347 \\
11.3 Irrationality Measures / 362 \\
Bibliography / 387 \\
Symbol List / 396 \\
Index / 405",
}
@TechReport{Borwein:1998:R,
author = "Jonathan Borwein and Kwok-Kwong Stephen Choi",
title = "On the representations of $ x y + y z + z x $",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "8",
year = "1998",
bibdate = "Thu Sep 01 08:48:35 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/212",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated, but PDF file metadata has
98:119-Borwein-Choi.dvi. No abstract",
}
@TechReport{Borwein:1998:SVM,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Special Values of Multiple Polylogarithms",
type = "CECM Research Report",
number = "98-106",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "45",
day = "14",
month = may,
year = "1998",
bibdate = "Thu Sep 01 07:48:47 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/200",
abstract = "Historically, the polylogarithm has attracted
specialists and non-specialists alike with its lovely
evaluations. Much the same can be said for Euler sums
(or multiple harmonic sums), which, within the past
decade, have arisen in combinatorics, knot theory and
high-energy physics. More recently, we have been forced
to consider multidimensional extensions encompassing
the classical polylogarithm, Euler sums, and the
Riemann zeta function. Here, we provide a general
framework within which previously isolated results can
now be properly understood. Applying the theory
developed herein, we prove several previously
conjectured evaluations, including a longstanding
conjecture of Don Zagier.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:TAP,
author = "Jonathan Borwein",
title = "Talking about Pi",
day = "20",
month = jan,
year = "1998",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "The original URL is no longer found, but the archive
URL worked on 26-Apr-2011.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Marechal:1998:APR,
author = "P. Marechal and D. Togane and A. Celler and J. M.
Borwein",
booktitle = "{1998 IEEE Nuclear Science Symposium. Conference
Record. Toronto, ON, Canada, November 8--14, 1998}",
title = "Assessment of the performance of reconstruction
processes for computed tomography",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1353--1357",
year = "1998",
DOI = "https://doi.org/10.1109/NSSMIC.1998.774404",
ISSN = "1082-3654",
ISSN-L = "1082-3654",
bibdate = "Fri Aug 12 11:41:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1529/",
abstract = "This paper deals with the assessment of the
performance of reconstruction methods for computed
tomography, including filtered backprojection and
`entropy-like' methods. For each of these methods, the
influence of errors in the measured data on the
reconstructed image is analyzed. A small perturbation
of the data vector induces a perturbation of the
reconstructed object which can be computed by means of
the sensitivity matrix. Using appropriate matrix
computation techniques, an upper bound on the size of
the reconstruction error is determined, as well as the
pattern of noise in the sinogram that will result in
the largest reconstruction error. Simulations will
illustrate our analysis and demonstrate its utility in
the interpretation of computed images and in the
selection of reconstruction parameters",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Attenuation; computed tomography; Computed tomography;
computerised tomography; Convolution; data vector;
entropy-like methods; filtered backprojection; Image
analysis; image reconstruction; Image reconstruction;
image reconstruction processes; Integral equations;
interpolation; inverse problems; Inverse problems;
iterative methods; Mathematics; matrix computation
techniques; maximum entropy methods; medical image
processing; pattern of noise; performance assessment;
positron emission tomography; Radon transforms;
Radon-type inverse problem; reconstruction error size;
reconstruction parameters selection; regularization
scheme; sensitivity analysis; sensitivity matrix;
singular value decomposition; sinogram; small
perturbation; Transforms; upper bound; X-ray
scattering",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Bauschke:1999:COM,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
editor = "J. Giles and B. Ninness",
booktitle = "{Proceedings of the Centre for Mathematics and its
Applications (Australian National University) National
Symposium on Functional Analysis, Optimization and
Applications, March 1998}",
title = "Conical open mapping theorems and regularity",
volume = "36",
publisher = "????",
address = "????",
pages = "1--10",
year = "1999",
bibdate = "Mon Aug 15 14:33:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/208/",
abstract = "Suppose $T$ is a continuous linear operator between
two Hilbert spaces $X$ and $Y$ and let $K$ be a closed
convex nonempty cone in $X$. We investigate the
possible existence of $ \delta > 0$ such that $ \delta
B_Y \cap T(K) \subseteq T(B_X \cap K)$, where $ B_X$, $
B_Y$ denote the closed unit balls in $X$ and $Y$
respectively. This property, which we call openness
relative to $K$, is a generalization of the classical
openness of linear operators. We relate relative
openness to Jameson's property (G), to the strong
conical hull intersection property, to bounded linear
regularity, and to metric regularity. Our results allow
a simple construction of two closed convex cones that
have the strong conical hull intersection property but
fail to be boundedly linearly regular.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Preprint PDF file of 14 pages is dated 10-Nov-1998.",
}
@Article{Bauschke:1999:EAD,
author = "Heinz H. Bauschke and Dominikus Noll and Anna Celler
and Jonathan M. Borwein",
title = "An {EM} algorithm for dynamic {SPECT}",
journal = j-IEEE-TRANS-MED-IMAG,
volume = "18",
number = "3",
pages = "252--261",
month = mar,
year = "1999",
CODEN = "ITMID4",
DOI = "https://doi.org/10.1109/42.764899",
ISSN = "0278-0062 (print), 1558-254x (electronic)",
ISSN-L = "0278-0062",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/187;
http://www.ncbi.nlm.nih.gov/pubmed/10363703",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IEEE Transactions on Medical Imaging",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=42",
keywords = "Algorithms; arbitrary decaying activities; Cameras;
compartmental modeling; Computed tomography; dynamic
SPECT; EM algorithm; exponentials sum; Face detection;
Head; Heuristic algorithms; Humans; Instruments; M
step; medical diagnostic imaging; Models, Statistical;
Nuclear medicine; nuclear medicine; numerical tests;
Pharmaceuticals; physiological models; Positron
emission tomography; Reproducibility of Results; single
photon emission computed tomography; Single photon
emission computed tomography; Tomography,
Emission-Computed, Single-Photon; underlying
probabilistic models",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Preprint is 19 pages, and titled \booktitle{An EM
algorithm for dynamic SPECT tomography}.",
}
@Article{Bauschke:1999:MMD,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "Maximal monotonicity of dense type, local maximal
monotonicity, and monotonicity of the conjugate are all
the same for continuous linear operators",
journal = j-PAC-J-MATH,
volume = "189",
number = "1",
pages = "1--20",
year = "1999",
CODEN = "PJMAAI",
DOI = "https://doi.org/10.2140/pjm.1999.189.1",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "47H05 (47B99 49J52)",
MRnumber = "1687802",
MRreviewer = "Pando Georgiev",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/180/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:1999:SCH,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Wu Li",
title = "Strong conical hull intersection property, bounded
linear regularity, {Jameson}'s property {$ (G) $}, and
error bounds in convex optimization",
journal = j-MATH-PROG,
volume = "86",
number = "1, Ser. A",
pages = "135--160",
year = "1999",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/s101070050083",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90C46 (41A29 90C31)",
MRnumber = "1712477",
MRreviewer = "Charles K. Chui",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/195/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming. A Publication of the
Mathematical Programming Society",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 98:107.",
}
@Book{Borowski:1999:DMa,
author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
title = "Dictionary of mathematics",
publisher = "Unwin Hyman",
address = "London, UK",
pages = "660",
year = "1999",
ISBN = "0-261-67198-7",
ISBN-13 = "978-0-261-67198-0",
LCCN = "????",
bibdate = "Tue Aug 16 09:03:32 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Dictionaries",
}
@Book{Borowski:1999:DMb,
author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
title = "Dictionary of mathematics",
publisher = pub-HARPERCOLLINS,
address = pub-HARPERCOLLINS:adr,
pages = "672",
year = "1999",
ISBN = "0-00-434347-6 (paperback)",
ISBN-13 = "978-0-00-434347-1 (paperback)",
LCCN = "????",
bibdate = "Mon Oct 23 07:36:34 MDT 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "This dictionary of mathematics contains over 9,000
definitions and 400 diagrams and covers subjects such
as abstract analysis; number theory; topology; vectors;
differential equations and more.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Originally published in \cite{Borowski:1988:DM}.",
subject = "Mathematics; Dictionaries; Mathematics.",
}
@TechReport{Borwein:1999:CEL,
author = "Jonathan Borwein and Yves Lucet and Boris
Mordukhovich",
title = "Compactly epi-{Lipschitzian} convex sets and functions
in normed spaces",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "20",
day = "9",
month = jun,
year = "1999",
bibdate = "Thu Sep 01 08:42:56 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:CEL}.",
URL = "http://docserver.carma.newcastle.edu.au/210/",
abstract = "We provide several characterizations of compact
epi-Lipschitzness for closed convex sets in normed
vector spaces. In particular, we show that a closed
convex set is compactly epi-Lipschitzian if and only if
it has nonempty relative interior, finite codimension,
and spans a closed subspace.\par
Next, we establish that all boundary points of
compactly epi-Lipschitzian sets are proper support
points. We provide the corresponding results for
functions hy using inf-convolutions and the Legendre
Fenchel transform. We also give an application to
constrained optimization with compactly
epi-Lipschitzian data via a generalized Slater
condition involving relative interiors.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:CSFa,
author = "Jonathan M. Borwein and John Read and Adrian S. Lewis
and Qiji Zhu",
title = "Convex spectral functions of compact operators",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "27",
day = "10",
month = mar,
year = "1999",
bibdate = "Thu Sep 01 10:08:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:CSF}.",
abstract = "We consider functions on the space of compact
self-adjoint Hilbert space operators. Specifically, we
study those extended-real functions which depend only
on the operators' spectral sequences. Examples include
the norms of the Schatten $p$-spaces, the Calder{\'e}n
norms, the $k$'th largest eigenvalue, and some
infinite-dimensional self-concordant barriers. We show
how various convex and nonsmooth-analytic properties of
such functions follow from the corresponding properties
of the restrictions to the space of diagonal operators,
and we derive subdifferential and conjugacy formulas.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:CSFb,
author = "Jonathan M. Borwein and Adrian S. Lewis and Qiji J.
Zhu",
title = "Convex spectral functions of compact operators, {Part
II}: {Lower} semicontinuity and rearrangement
invariance",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "18",
year = "1999",
MRclass = "49J52, 47B10",
bibdate = "Thu Sep 01 10:33:31 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/251/",
abstract = "It was shown in Part I of this work that the Gateaux
differentiability of a convex unitarily invariant
function is characterized by that of a similar induced
rearrangement invariant function on the corresponding
spectral space. A natural question is then whether this
is also the case for Fr{\'e}chet differentibility. In
this paper we show the answer is positive. Although the
result appears very natural, the proof turns out to be
quite technically involved.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Convex spectral functions; differentiability;
rearrangement invariant functions",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:ESB,
author = "Jonathan M. Borwein and Boris S. Mordukhovich and
Yongheng Shao",
title = "On the Equivalence of Some Basic Principles in
Variational Analysis",
journal = j-J-MATH-ANAL-APPL,
volume = "229",
number = "1",
pages = "228--257",
year = "1999",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.1998.6157",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "49J52 (46N10)",
MRnumber = "1664320",
MRreviewer = "Abderrahim Jourani",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/192/;
http://www.sciencedirect.com/science/article/pii/S0022247X98961571",
abstract = "The primary goal of this paper is to study
relationships between certain basic principles of
variational analysis and its applications to nonsmooth
calculus and optimization. Considering a broad class of
Banach spaces admitting smooth renorms with respect to
some bornology, we establish an equivalence between
useful versions of a smooth variational principle for
lower semicontinuous functions, an extremal principle
for nonconvex sets, and an enhanced fuzzy sum rule
formulated in terms of viscosity normals and
subgradients with controlled ranks. Further refinements
of the equivalence result are obtained in the case of a
Fr{\'e}chet differentiable norm. Based on the new
enhanced sum rule, we provide a simplified proof for
the refined sequential description of approximate
normals and subgradients in smooth spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "fuzzy calculus; generalized differentiation; Nonsmooth
analysis; smooth Banach spaces; variational and
extremal principles; viscosity normals and
subdifferentials",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:ETE,
author = "Jonathan M. Borwein and Robert M. Corless",
title = "Emerging tools for experimental mathematics",
journal = j-AMER-MATH-MONTHLY,
volume = "106",
number = "10",
pages = "889--909",
year = "1999",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2589743",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "68W30 (00A05 11Yxx)",
MRnumber = "1732501",
MRreviewer = "Michael M. Dediu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/203/;
https://www.jstor.org/stable/2589743",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 98:110.",
}
@TechReport{Borwein:1999:GSBa,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "Generalized subdifferentials: a {Baire} categorical
approach",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "19",
day = "8",
month = mar,
year = "1999",
bibdate = "Thu Sep 01 10:00:12 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2001:GSB}.",
abstract = "We use Baire categorical arguments to construct
pathological locally Lipschitz functions. The origins
of this approach can be traced back to Banach and
Mazurkiewicz (1931) who independently used similar
categorical arguments to show that ``almost every
continuous real-valued function defined on [0,1] is
nowhere differentiable''. As with the results of Banach
and Mazurkiewicz, it appears that it is easier to show
that almost every function possesses a certain property
than to construct a single concrete example. Among the
most striking results contained in this paper are:
Almost every 1-Lipschitz function defined on a Banach
space has a Clarke subdifferential mapping that is
identically equal to the dual ball; if \{T-1;
T-2,\ldots{},T-n\} is a family of maximal cyclically
monotone operators defined on a Banach space X then
there exists a real-valued locally Lipschitz function g
such that partial derivative (0g)(x) =co \{T-1(x);
T-2(x),\ldots{},T-n(x)\} for each x is an element of X;
in a separable Banach space each non-empty weak*
compact convex subset in the dual space is identically
equal to the approximate subdifferential mapping of
some Lipschitz function and for locally Lipschitz
functions defined on separable spaces the notions of
strong and weak integrability coincide.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:GSBb,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "Generalized subdifferentials: a {Baire} categorical
approach",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "6",
day = "15",
month = apr,
year = "1999",
MRclass = "49J52, 26A27",
bibdate = "Thu Sep 01 10:03:41 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1999:GSBc}.",
abstract = "Dans ce compte rendu, nous decrivons comment utiliser
des arguments de type cat{\'e}gorie de Baire pour
construire certaines fonctions localement Lipschitz
pathologiques. Les origines de cette approche remontent
a Banach et Mazurkiewicz (1931) qui, de mani{\'e}re
ind{\'e}pendante, utilis{\'e}rent une approche
semblable pour mon- trer que ``presque toutes les
fonctions r{\'e}lles continues d{\'e}finies sur [0,1]
sont nulle part diff{\'e}rentiables''. Comme dans les
r{\'e}sultats de Banach et Mazurkiewicz, il s avere qu
il est plus facile de montrer que presque toutes les
fonctions possedent une certaine pro- pri{\'e}t{\'e}
que de construire un seul exemple concret. Apres une
description du cadre de base de la construction,
l'article continue en donnant de nombreuses
applications. Parmis les r{\'e}sultats les plus
surprenants, citons le suivant : ``Presque toutes les
fonctions 1-Lipschitz d{\'e}finies sur un espace de
Banach admettent une application
sous-dift{\'e}rentielle de Clarke qui est identiquement
{\'e}gale a la boule unit{\'e} dans l'espace dual.''",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Baire category; Banach spaces; differentiability;
subdifferentials; upper semi continuous set valued
map.",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:GSBc,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "Generalized subdifferentials: a {Baire} categorical
approach",
journal = "C. R. Math. Acad. Sci. Soc. R. Can.",
volume = "21",
number = "4",
pages = "132--138",
year = "1999",
ISSN = "0706-1994",
MRclass = "49J52 (46G05 58C20)",
MRnumber = "1728265",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/234/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Comptes Rendus Math{\'e}matiques de l'Acad{\'e}mie des
Sciences. La Soci{\'e}t{\'e} Royale du Canada.
Mathematical Reports of the Academy of Science. The
Royal Society of Canada",
journal-URL = "https://mr.math.ca/article/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 99:128. The journal web site has no
online archives before volume 27 (2005).",
}
@InProceedings{Borwein:1999:ITDb,
author = "J. M. Borwein and T. Stanway",
editor = "John Grant McGloughlin",
booktitle = "{Canadian Mathematics Education Study Group (CMESG)
Proceedings 1999 Annual Meeting}",
title = "The impact of technology on the doing of mathematics",
publisher = "Memorial University Press",
address = "St. Johns, NL, Canada",
pages = "3--6",
year = "1999",
bibdate = "Mon Aug 15 14:30:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/248/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:MFAa,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Multifunctional and functional analytic techniques in
nonsmooth analysis",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "97",
day = "2",
month = nov,
year = "1999",
bibdate = "Thu Sep 01 10:44:29 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/49",
abstract = "These lectures center on the structure of real-valued
Lipschitz functions, and their generalized derivatives
on Banach spaces. We pay some attention to the role of
measure and category and will try to illustrate a
number of different techniques. These published notes
are much more detailed and comprehensive than the
lectures as given. Much of this development is based on
recent joint work with Warren Moors (Wellington) and
others.\par
The exposition will be organized around the following
interwoven themes.\par
$ \bullet $ Set-valued analysis. Minimal upper
semi-continuous multifunctions (`uscos and cuscos') and
related topological tools. Selections and
single-valuedness. Relations to
differentiability.\par
$ \bullet $ Measure and category as competing notions
of smallness: Haar null sets and generic sets in Banach
spaces. Other concepts of prevalence.\par
$ \bullet $ `Utility grade' renorming theory and its
application to the study of viscosity subderivatives
and (partially) smooth variational principles.
``Fuzzy'' calculus and some equivalent
reformulations.\par
$ \bullet $ The structure of Lipschitz functions.
Especially the calculus of essentially smooth Lipschitz
functions and the vector-lattice algebra they generate.
Chain rules, and questions of integrability and
representability.\par
$ \bullet $ Applications to and examples of distance
functions. Minimality of distance functions and
proximal normal formulae revisited. More general
perturbation functions.\par
$ \bullet $ Convex functions and related sequences in
Banach space. How properties of given Banach spaces are
reflected in the convex functions they support.
Conjugates and subdifferentials of eigenvalue
functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:1999:MFAb,
author = "Jonathan M. Borwein and Qiji J. Zhu",
editor = "F. H. Clarke and R. J. Stern",
booktitle = "Nonlinear analysis, differential equations and control
({Montreal, QC, 1998})",
title = "Multifunctional and functional analytic techniques in
nonsmooth analysis",
volume = "528",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "61--157",
year = "1999",
MRclass = "49J52 (26A16 26E25 46N10)",
MRnumber = "1695006",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "NATO Sci. Ser. C Math. Phys. Sci.",
URL = "http://docserver.carma.newcastle.edu.au/49/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:NCMb,
author = "J. M. Borwein and T. Stanway",
title = "Numerical and computational mathematics (at the
undergraduate level)",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "22",
day = "31",
month = aug,
year = "1999",
bibdate = "Thu Sep 01 10:18:27 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:NCMa}.",
abstract = "We present an argument for including numerical and
computational methods in the undergraduate mathematics
curriculum. The argument is supported by presenting a
number of specific examples; some fairly elementary and
some less elementary. We conclude by inviting the
reader to reflect on the impact that experimental
mathematics might have on the undergraduate curriculum
and we offer a final example which serendipitously
presented itself during the late stages of preparing
this paper.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:PSS,
author = "Jonathan M. Borwein and C. G. Pinner and David
Bradley",
title = "Problems and Solutions: Solutions: An Infinite
Product: 10605",
journal = j-AMER-MATH-MONTHLY,
volume = "106",
number = "2",
pages = "173--174",
year = "1999",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2589069",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1543419",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:PSVa,
author = "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
Zhu",
title = "Partially smooth variational principles and
applications",
journal = j-NONLINEAR-ANAL,
volume = "35",
number = "8",
pages = "1031--1059",
year = "1999",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(98)00113-8",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J53 (46T20 47H99)",
MRnumber = "1707806",
MRreviewer = "B. Mordukhovich",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/182/;
http://www.sciencedirect.com/science/article/pii/S0362546X98001138",
abstract = "We discuss a smooth variational principle for
partially smooth viscosity subdifferentials and explore
its applications in nonsmooth analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Fuzzy sum rules; Mean value inequalities and partially
smooth spaces; Smooth variational principle",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:SM,
author = "D. Borwein and J. M. Borwein and P. Mar{\'e}chal",
title = "Surprise maximization",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "16",
day = "25",
month = jul,
year = "1999",
bibdate = "Thu Sep 01 08:38:24 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2000:SM}.",
URL = "http://docserver.carma.newcastle.edu.au/209/",
abstract = "The Surprise Examination or Unexpected Hanging Paradox
has long fascinated mathematicians and philosophers, as
the number of publications devoted to it attests. For
an exhaustive bibliography on the subject, see [1]. We
examine and solve the optimization problems arising
from an information theoretic avoidance of the Paradox.
These problems provide a very satisfactory application
of both the Kuhn-Tucker theory and of various classical
inequalities and estimation techniques. We assume some
elementary knowledge of optimization but recall the
necessary convex analytic concepts in the course of the
paper. Readers unfamiliar with this background may
simply skip a couple of proofs and a few technical
details.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:SRM,
author = "Jonathan M. Borwein and Warren B. Moors and Yongheng
Shao",
title = "Subgradient representation of multifunctions",
journal = j-J-AUSTRAL-MATH-SOC-SER-B,
volume = "40",
number = "3",
pages = "301--313",
month = jan,
year = "1999",
CODEN = "JAMMDU",
DOI = "https://doi.org/10.1017/S0334270000010924",
ISSN = "0334-2700",
ISSN-L = "0334-2700",
MRclass = "49J52 (47H04)",
MRnumber = "1674589",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Fri Sep 30 10:53:26 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
note = "Volume in honour of B. Craven and B. Mond.",
URL = "http://docserver.carma.newcastle.edu.au/184/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3964380;
https://www.cambridge.org/core/journals/anziam-journal/article/subgradient-representation-of-multifunctions/A035439B7CEE8FBA04EAD6EB6888CDDB",
acknowledgement = ack-nhfb,
ajournal = "J. Austral Math. Soc. Ser. B",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society. Series
B, Applied Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
onlinedate = "17 February 2009",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:SSC,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "A survey of subdifferential calculus with
applications",
journal = j-NONLINEAR-ANAL,
volume = "38",
number = "6",
pages = "687--773",
year = "1999",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(98)00142-4",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J52 (46G05 46N10 49-02 49J53 58C05)",
MRnumber = "1710152",
MRreviewer = "Philip D. Loewen",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dedicated to Francis Clarke on the occasion of his
fiftieth birthday and the twenty-fifth birthday of the
Clarke generalized gradient. See addendum
\cite{Borwein:2002:ASS}.",
URL = "http://docserver.carma.newcastle.edu.au/199/;
http://www.sciencedirect.com/science/article/pii/S0362546X98001424",
abstract = "This survey is an account of the current status of
subdifferential research. It is intended to serve as an
entry point for researchers and graduate students in a
wide variety of pure and applied analysis areas who
might profitably use subdifferentials as tools.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Coderivative calculus; Constrained optimization
problems; Generalized gradients; Geometric
subdifferential; Hamilton--Jacobi equations; Implicit
function theorems; Limiting coderivatives; Limiting
subdifferentials; Mean value inequalities; Mean value
theorems; Metric regularity; Open mapping; Proximal
subdifferential; Sensitivity; Smooth spaces;
Subdifferential calculus; Viscosity solutions;
Viscosity subdifferential",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 98:105.",
}
@TechReport{Borwein:1999:STC,
author = "J. M. Borwein and X. Wang",
title = "Subdifferentiability of typical continuous functions",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "10",
day = "13",
month = aug,
year = "1999",
bibdate = "Thu Sep 01 10:11:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2001:STC}.",
URL = "http://docserver.carma.newcastle.edu.au/241/",
abstract = "We prove a ``typical'' subdifferentiability principle
and apply it to a variety of complete metric spaces of
continuous functions on separable Banach spaces; so as
to obtain existence of functions with maximal
subdifferentials when ordered by inclusion. The
relationship between continuous functions with maximal
subdifferentials and nowhere monotone functions is
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:1999:SVM,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Special Values of Multiple Polylogarithms",
journal = "ArXiv Mathematics e-prints",
month = oct,
year = "1999",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1999math.....10045B;
http://docserver.carma.newcastle.edu.au/200/",
abstract = "Historically, the polylogarithm has attracted
specialists and non-specialists alike with its lovely
evaluations. Much the same can be said for Euler sums
(or multiple harmonic sums), which, within the past
decade, have arisen in combinatorics, knot theory and
high-energy physics. More recently, we have been forced
to consider multidimensional extensions encompassing
the classical polylogarithm, Euler sums, and the
Riemann zeta function. Here, we provide a general
framework within which previously isolated results can
now be properly understood. Applying the theory
developed herein, we prove several previously
conjectured evaluations, including an intriguing
conjecture of Don Zagier.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/9910045",
keywords = "Mathematics - Classical Analysis and ODEs, Mathematics
- Combinatorics, 40B05, 33E20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Marechal:1999:CSA,
author = "P. Marechal and D. Togane and A. Celler and J. M.
Borwein",
title = "Computation and stability analysis for regularized
tomographic reconstructions",
journal = j-IEEE-TRANS-NUCL-SCI,
volume = "46",
pages = "2177--2184",
month = dec,
year = "1999",
CODEN = "IRNSAM",
DOI = "https://doi.org/10.1109/23.819301",
ISSN = "0018-9499 (print), 1558-1578 (electronic)",
ISSN-L = "0018-9499",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/1999ITNS...46.2177M",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IEEE Transactions on Nuclear Science",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:199x:KC,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall",
title = "On the {Khintchine} constant",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "19",
year = "199x",
bibdate = "Wed Aug 31 08:55:14 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
note = "Published in \cite{Bailey:1997:KC}",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated.",
}
@TechReport{Borwein:199x:SCF,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "A Survey of Convex Functions and Sequential
Convergence",
institution = "Faculty of Computer Science, Dalhousie University",
address = "Halifax, NS, B3H2W5 Canada",
pages = "1--10",
year = "199x",
bibdate = "Mon Aug 29 17:09:33 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf",
abstract = "Study various properties of convex functions related
to sequential convergence.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "10",
remark = "Undated: same URL as \cite{Borwein:1990:SDPa}, but PDF
file matches the title in this entry.",
}
@TechReport{Borwein:19xx:ASW,
author = "Jonathan Borwein and Lou Shitou",
title = "Asymptotics of a Sequence of {Witt} Vectors",
type = "Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University",
address = "Halifax, NS B3H 3J5, Canada",
pages = "13",
year = "19xx",
bibdate = "Fri Nov 11 07:09:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We provide asymptotic and order information about the
Witt vectors and integers $ d_n $ appearing in $
\Prod_{n \geq 1} (1 / (1 + d_n t^n / n!)) = (1 - t) e^t
$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated report. The second author also appears in
journal databases with family name Lou, and personal
name Shi-Tuo.",
}
@TechReport{Borwein:19xx:CFF,
author = "J. M. Borwein and P. B. Borwein",
title = "On the Complexity of Familiar Functions and Numbers",
type = "Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University",
address = "Halifax, NS B3H 3J5, Canada",
pages = "30",
year = "19xx",
MRclass = "6BC25, 41A30, 1OA30",
bibdate = "Fri Nov 11 07:08:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "This paper examines low-complexity approximations to
familiar functions and numbers. The intent is to
suggest that a taxonomy of such functions and numbers
based on their computational complexity is possible. A
central theme is that traditional methods of
approximation are often very far from optimal, while
good or optimal methods are often very far from obvious
For most functions provably optimal methods are not
known, however the gap between what is known and what
is possible is often small. A considerable number of
open problems are posed and a number of related
examples are presented.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$\pi$; algebraic approximation; computation of digits;
Elementary functions; low complexity approximation;
open problems; rational approximation; reduced
complexity approximation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated report",
}
@Unpublished{Borwein:19xx:EIG,
author = "Jonathan M. Borwein",
title = "Elliptic Integrals and the {Gauss--Salamin} formula
for $ \pi $",
pages = "16",
year = "19xx",
bibdate = "Mon Nov 07 07:04:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Unpublished hand-written lecture slides at Dalhousie
University. The slides are undated, and the 10
references on the final slides include a reference to
E. Salamin (1976) and to P. Backmann's 1977 book
\booktitle{A History of Pi}.",
abstract = "$ \pi $ was first used by W. Jones (1703) as \emph{pi}
(short for periphery). Euler (1733) first popularized
it as a replacement for $p$ or $c$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:19xx:EMI,
author = "Jonathan M. Borwein and Peter B. Borwein and Roland
Girgensohn and S. Parnes",
title = "Experimental mathematical investigation of decimal and
continued fraction expansions of select constants",
year = "19xx",
bibdate = "Thu Aug 11 09:30:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Unpublished.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Cited in \cite{Octavio:1996:IT}.",
}
@TechReport{Borwein:19xx:MI,
author = "J. M. Borwein and P. B. Borwein",
title = "On the Mean Iteration $ (a, b) \leftarrow ((a + 3 b) /
4, (\sqrt {ab} + b) / 2) $",
type = "Report",
institution = "Department of Mathematics, Statistics and Computing
Science, Dalhousie University",
address = "Halifax, NS B3H 3J5, Canada",
pages = "39",
year = "19xx",
bibdate = "Fri Nov 11 07:10:57 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "The iterative process $ a_{n + 1} = (a_n + 3 b_n) / 4
$, $ b_{n + 1} = (\sqrt {a_n b_n} + b_n) / 2 $ is
studied in detail. The limit of this quadratically
converging process is explicitly identified, as are the
uniformizing parameters. The role of symbolic
computation, in discovering these non-trivial
identifications, is highlighted.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated report",
}
@TechReport{Borwein:19xx:PCT,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Pi and its computation: a twenty-two hundred year
quest continues: why it is now possible to calculate a
billion digits of pi",
type = "Report",
institution = "Dalhousie University",
address = "Halifax, NS, Canada",
pages = "21",
year = "19xx",
bibdate = "Mon Nov 07 07:01:20 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Undated typeset manuscript intended for
\booktitle{Scientific American}, but never published.
The latest reference is to a 1987 book.",
abstract = "Classical mathematics of Gauss, Ramanujan, and others
combines the modern theory of algorithms to
dramatically improve our understanding of this ancient
problem.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "This paper must have been written between 1987 and
1997, and before the discovery of the BBP algorithm
\cite{Bailey:1997:RCV}, because the last paragraph
says: ``It is also reasonable to speculate that
computing the $n$-th digit of $ \pi $ is not very much
easier than computing all the first $n$ digits. We
think it very probable that computing the $n$-th digit
of $ \pi $ cannot be of a lower order than
multiplication. As a consequence, we conjecture that no
one will ever determine the $ 10^{1000}$-th decimal
digit of $ \pi $.",
}
@TechReport{Borwein:19xx:WMS,
author = "J. M. Borwein and B. Richmond",
title = "When is a matrix a square?",
type = "Research report",
number = "5",
institution = "Department of Mathematics, Dalhousie University and
Department of Combinatorics and Optimization,
University of Waterloo",
address = "Halifax, NS, Canada and Waterloo, ON, Canada",
pages = "22",
year = "19xx",
bibdate = "Mon Nov 07 17:45:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "Necessary and sufficient conditions for an arbitrary $
n \times n $ matrix to possess a $k$-th root are given
in terms of the associated Jordan form. These
characterizations are used to give asymptotic estimates
for the relative frequency of nilpotent matrices
possessing square roots. The estimates are entirely
combinatorial in genesis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "asymptotic formulae; Jordan forms; partition
functions; square roots",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "There are only 5 references on the last page, the most
recent a book from 1976.",
}
@Article{Bauschke:2000:BLR,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Paul
Tseng",
title = "Bounded linear regularity, strong {CHIP}, and {CHIP}
are distinct properties",
journal = j-J-CONVEX-ANAL,
volume = "7",
number = "2",
pages = "395--412",
year = "2000",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "90C48 (41A65 49J53 52A15 52A20)",
MRnumber = "1811687",
MRreviewer = "Wu Li",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.heldermann.de/JCA/JCA07/JCA072/jca07020.htm",
abstract = "Bounded linear regularity, the strong conical hull
intersection property (strong CHIP), and the conical
hull intersection property (CHIP) are properties of a
collection of finitely many closed convex intersecting
sets in Euclidean space. It was shown recently that
these properties are fundamental in several branches of
convex optimization, including convex feasibility
problems, error bounds, Fenchel duality, and
constrained approximation. It was known that regularity
implies strong CHIP. which ill turn implies CHIP;
moreover, the three properties always hold for
subspaces. The question whether or not converse
implications are true for general convex sets was
open.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:112.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Bauschke,
Heinz/D-5582-2009",
unique-id = "Bauschke:2000:BLR",
}
@TechReport{Bauschke:2000:ESE,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
L. Combettes",
title = "Essential smoothness, essential strict convexity, and
{Legendre} functions in {Banach} spaces",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "32",
year = "2000",
MRclass = "52A41 (46G05, 46N10, 49J50, 90C25)",
bibdate = "Thu Sep 01 09:53:22 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Bauschke:2001:ESE}.",
abstract = "The classical notions of essential smoothness,
essential strict convexity, and Legendreness for convex
functions are extended from Euclidean to Banach spaces.
A pertinent duality theory is developed and several
useful characterizations are given. The proofs rely on
new results on the more subtle behavior of
subdifferentials and directional derivatives at
boundary points of the domain. In weak Asplund spaces,
a new formula allows the recovery of the
subdifferential from nearby gradients. Finally, it is
shown that every Legendre function on a reflexive
Banach space is zone consistent, a fundamental property
in the analysis of optimization algorithms based on
Bregman distances. Numerous illustrating examples are
provided.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Bregman distance; Bregman projection; coercive;
cofinite function; convex function of Legendre type;
essentially smooth; essentially strictly convex;
Legendre function; Schur property; Schur space;
subdifferential; supercoercive; weak Asplund space;
zone consistent.",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bauschke:2000:JSC,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
title = "Joint and separate convexity of the {Bregman}
distance",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "17",
year = "2000",
bibdate = "Thu Sep 01 09:08:34 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/227/",
abstract = "Algorithms involving Bregman projections for solving
optimization problems have been receiving much
attention lately. Several of these methods rely
crucially on the joint convexity of the Bregman
distance. In this note, we study joint and separate
convexity of Bregman distances.\par
To bring out the main ideas more clearly, we consider
first functions defined on an open interval. Our main
result states that the Bregman distance of a given
function is jointly convex if and only if the
reciprocal of its second derivative is concave. We
observe that Bregman distances induced by the two most
popular choices --- the energy and the
Boltzmann-Shannon entropy --- are limiting cases in a
profound sense. This result is generalized by weakening
assumptions on differentiability and strict
convexity.\par
We then consider general, not necessarily separable,
convex functions. The characterization of joint
convexity has a natural and beautiful analog. Finally,
we discuss spectral functions, where the situation is
less clear. Throughout, we provide numerous examples to
illustrate our results.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = ",convex function; Bregman distance; joint convexity;
separate convexity",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2000:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic--Geometric Mean and Fast Computation of
Elementary Functions",
crossref = "Berggren:2000:PSB",
pages = "537--552",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4757-3240-5_56",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Reprint of \cite{Borwein:1984:AGM}.",
URL = "http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_56",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2000:AIR,
author = "Jonathan M. Borwein and Petr Lison{\v{e}}k",
title = "Applications of integer relation algorithms",
journal = j-DISCRETE-MATH,
volume = "217",
number = "1--3",
pages = "65--82",
year = "2000",
CODEN = "DSMHA4",
DOI = "https://doi.org/10.1016/S0012-365X(99)00256-3",
ISSN = "0012-365x (print), 1872-681x (electronic)",
ISSN-L = "0012-365X",
MRclass = "65Y15 (68W99)",
MRnumber = "1766260",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Formal power series and algebraic combinatorics
(Vienna, 1997).",
URL = "http://docserver.carma.newcastle.edu.au/198/;
http://www.sciencedirect.com/science/article/pii/S0012365X99002563",
abstract = "Let $a$ be a vector of real numbers. By an integer
relation for $a$ we mean a non-zero integer vector $c$
such that $ c a^T = 0$. We discuss the algorithms for
finding such integer relations from the user's point of
view, by presenting examples of their applications and
by reviewing the available software implementations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Discrete Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 97:104.",
}
@TechReport{Borwein:2000:ANB,
author = "J. M. Borwein and M. Jim{\'e}nez-Sevilla and J. P.
Moreno",
title = "Antiproximinal norms in {Banach} spaces",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "13",
month = oct,
year = "2000",
MRclass = "46B20",
bibdate = "Thu Sep 01 09:56:52 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/233/",
abstract = "We prove that every Banach space containing a
complemented copy of $ c_0 $ has an antiproximinal body
for a suitable norm. If, in addition, the space is
separable, there is a pair of antiproximinal norms. In
particular, in a separable polyhedral space $X$, the
set of all (equivalent) norms on $X$ having an
isomorphic antiproximinal norm is dense. In contrast,
it is shown that there are no antiproximinal norms in
Banach spaces with the Convex Point of Continuity
Property (CPCP). Other questions related to the
existence of antiproximinal bodies are also
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2000:CAN,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Convex Analysis and Nonlinear Optimization",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 273",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4757-9859-3",
ISBN = "0-387-98940-4",
ISBN-13 = "978-0-387-98940-2",
MRclass = "49-01 (46N10 47N10 49-02 49J53 90-01)",
MRnumber = "1757448",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Theory and examples.",
series = "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques
de la SMC, 3",
abstract = "This book is a concise account of convex analysis, its
applications and extensions, for a broad audience.
Blurring as it does the distinctions between
mathematical optimization and modern analysis, the
elegant language of convexity and duality is
indispensable both in computational optimization and
for understanding variational properties of functions
and multifunctions. Primarily aimed at first-year
graduate students, the text consists of short,
self-contained sections, each followed by an extensive
set of exercises, many of which are guided. The book is
thus appropriate either as a class text or for
self-study.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "1: Background \\
1.1: Euclidean Spaces \\
1.2: Symmetric Matrices \\
2: Inequality Constraints \\
2.1: Optimality Conditions \\
2.2: Theorems of the Alternative \\
2.3: Max-functions \\
3: Fenchel Duality \\
3.1: Subgradients and Convex Functions \\
3.2: The Value Function \\
3.3: The Fenchel Conjugate \\
4: Convex Analysis \\
4.1: Continuity of Convex Functions \\
4.2: Fenchel Biconjugation \\
4.3: Lagrangian Duality \\
5: Special Cases \\
5.1: Polyhedral Convex Sets and Functions \\
5.2: Functions of Eigenvalues \\
5.3: Duality for Linear and Semidefinite Programming
\\
5.4: Convex Process Duality \\
6: Nonsmooth Optimization \\
6.1: Generalized Derivatives \\
6.2: Regularity and Strict Differentiability \\
6.3: Tangent Cones",
}
@TechReport{Borwein:2000:CBC,
author = "J. M. Borwein and J. D. Vanderwerff",
title = "On the continuity of biconjugate convex functions",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "10",
year = "2000",
bibdate = "Thu Sep 01 09:43:33 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2002:CBC}.",
URL = "http://docserver.carma.newcastle.edu.au/230/",
abstract = "We show that a Banach space is a Grothendieck space if
and only if every continuous convex function on $X$ has
a continuous biconjugate function on $ X**$, thus also
answering a question raised by S. Simons. Related
characterizations and examples are given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2000:CBSa,
author = "Jonathan M. Borwein and David J. Broadhurst and Joel
Kamnitzer",
title = "Central Binomial Sums, Multiple {Clausen} Values and
Zeta Values",
journal = "ArXiv High Energy Physics --- Theory e-prints",
month = apr,
year = "2000",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2000hep.th....4153B;
http://docserver.carma.newcastle.edu.au/243/",
abstract = "We find and prove relationships between Riemann zeta
values and central binomial sums. We also investigate
alternating binomial sums (also called Ap{\'e}ry sums).
The study of non-alternating sums leads to an
investigation of different types of sums which we call
multiple Clausen values. The study of alternating sums
leads to a tower of experimental results involving
polylogarithms in the golden ratio. In the
non-alternating case, there is a strong connection to
polylogarithms of the sixth root of unity, encountered
in the 3-loop Feynman diagrams of \url{hep-th/9803091}
and subsequently in \url{hep-ph/9910223},
\url{hep-ph/9910224}, \url{cond-mat/9911452} and
\url{hep-th/0004010}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "hep-th/0004153",
keywords = "High Energy Physics - Theory, Mathematics - Classical
Analysis and ODEs",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2000:CBSb,
author = "Jonathan Michael Borwein and David J. Broadhurst and
Joel Kamnitzer",
title = "Central binomial sums, multiple {Clausen} values, and
zeta values",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "17",
day = "4",
month = nov,
year = "2000",
bibdate = "Thu Sep 01 10:15:29 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2001:CBS}.",
abstract = "We find and prove relationships between Riemann zeta
values and central binomial sums. We also investigate
alternating binomial sums (also called Ap{\'e}ry sums).
The study of non-alternating sums leads to an
investigation of different types of sums which we call
multiple Clausen values. The study of alternating sums
leads to a tower of experimental results involving
polylogarithms in the golden ratio.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2000:CDA,
author = "Jonathan M. Borwein and Pierre Mar{\'e}chal and David
Naugler",
title = "A convex dual approach to the computation of {NMR}
complex spectra",
journal = "Math. Methods Oper. Res.",
volume = "51",
number = "1",
pages = "91--102",
year = "2000",
DOI = "https://doi.org/10.1007/s001860050004",
ISSN = "1432-2994 (print), 1432-5217 (electronic)",
ISSN-L = "1432-2994",
MRclass = "90C30",
MRnumber = "1742398",
MRreviewer = "Massimo Pappalardo",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/207/",
abstract = "The particular entropy method proposed by Hoch et al.
[7] for the computation of NMR complex spectra allows
an elegant application of the concepts of duality
theory. Correspondingly, duality theory casts new light
on their choice of entropy. The purpose of this paper
is to present the relevant theoretical developments
together with some numerical illustrations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Methods of Operations Research",
ORCID-numbers = "Naugler, David/0000-0001-5485-0498; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 98:114.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2000:CDA",
}
@Article{Borwein:2000:CEL,
author = "Jonathan Borwein and Yves Lucet and Boris
Mordukhovich",
title = "Compactly epi-{Lipschitzian} convex sets and functions
in normed spaces",
journal = j-J-CONVEX-ANAL,
volume = "7",
number = "2",
pages = "375--393",
year = "2000",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49J53 (46B20 46N10 90C48)",
MRnumber = "1811686",
MRreviewer = "Abderrahim Jourani",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/210/;
http://www.heldermann.de/JCA/JCA07/JCA072/jca07019.htm",
abstract = "We provide several characterizations of compact
epi-Lipschitzness for closed convex sets in normed
vector spaces. In particular, we show that a closed
convex set is compactly epi-Lipschitzian if and only if
it has nonempty relative interior, finite codimension,
and spans a closed subspace.\par
Next, we establish that all boundary points of
compactly epi-Lipschitzian sets are proper support
points. We provide the corresponding results for
functions hy using inf-convolutions and the Legendre
Fenchel transform. We also give an application to
constrained optimization with compactly
epi-Lipschitzian data via a generalized Slater
condition involving relative interiors.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:113.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2000:CEL",
}
@TechReport{Borwein:2000:CFL,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Convex functions of {Legendre} type in general
{Banach} spaces",
type = "Report",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "14",
year = "2000",
MRclass = "46B20,46G05,49J50,52A41",
bibdate = "Thu Sep 01 09:13:15 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2001:CFL}.",
URL = "http://docserver.carma.newcastle.edu.au/228/",
abstract = "Convex functions of Legendre type are constructed on
arbitrary open convex sets in Banach spaces that
satisfy appropriate rotundity and smoothness
conditions. A simple direct proof of the existence of
``universal'' barriers on arbitrary open convex sets in
$ \mathbb {R}^n $ is given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$\beta$-differentiability; barrier function;
essentially smooth; Legendre function; strict
convexity",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated, but PDF metadata says
00:151-Borwein-Vanderwerff.dvi.",
}
@Article{Borwein:2000:CSF,
author = "Jonathan M. Borwein and John Read and Adrian S. Lewis
and Qiji Zhu",
title = "Convex spectral functions of compact operators",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "1",
number = "1",
pages = "17--35",
year = "2000",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "49N15 (47N10 49J52 90C25)",
MRnumber = "1751726",
MRreviewer = "Mihai Turinici",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ybook.co.jp/online2/jncav1.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 99:130.",
xxauthor = "Jon Borwein and Adrian Lewis and John Read and Qiji
Zhu",
}
@Article{Borwein:2000:CSR,
author = "Jonathan M. Borwein and David M. Bradley and Richard
E. Crandall",
title = "Computational Strategies for the {Riemann} Zeta
Function",
journal = j-J-COMPUT-APPL-MATH,
volume = "121",
number = "1--2",
pages = "247--296",
month = sep,
year = "2000",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/S0377-0427(00)00336-8",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "11M06 (11Y35 33F05)",
MRnumber = "1780051 (2001h:11110)",
MRreviewer = "Cem Y. Y{\i}ld{\i}r{\i}m",
bibdate = "Mon Oct 24 11:41:28 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Numerical analysis in the 20th century, Vol. I,
Approximation theory",
URL = "http://people.reed.edu/~crandall/papers/attach01.pdf",
abstract = "We provide a compendium of evaluation methods for the
Riemann zeta function, presenting formulae ranging from
historical attempts to recently found convergent series
to curious oddities old and new. We concentrate
primarily on practical computational issues, such
issues depending on the domain of the argument, the
desired speed of computation, and the incidence of what
we call ``value recycling''.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:118.",
}
@Article{Borwein:2000:LFM,
author = "Jonathan M. Borwein and Xianfu Wang",
title = "{Lipschitz} functions with maximal {Clarke}
subdifferentials are generic",
journal = j-PROC-AM-MATH-SOC,
volume = "128",
number = "11",
pages = "3221--3229",
year = "2000",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-00-05914-1",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J52 (26B25 58C20)",
MRnumber = "1777577",
MRreviewer = "Jean-No{\"e}l Corvellec",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/206/",
abstract = "We show that on a separable Banach space most
Lipschitz functions have maximal Clarke subdifferential
mappings. In particular, the generic nonexpansive
function has the dual unit ball as its Clarke
subdifferential at every point. Diverse corollaries are
given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2000:LFM",
}
@InProceedings{Borwein:2000:NCMa,
author = "J. M. Borwein and T. Stanway",
editor = "Bruce Cload and Tom Jenkyns",
booktitle = "{Proceedings of the Conference on Technology in
Mathematics Education at the Secondary and Tertiary
Levels, June 2--4, 1999 at Brock University}",
title = "Numerical and computational mathematics (at the
undergraduate level)",
publisher = "Brock University Press",
address = "St. Catharines, ON, L2S 3A1 Canada",
pages = "20--37",
year = "2000",
bibdate = "Mon Aug 15 14:24:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/246/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Also appeared in Cubo.",
}
@InCollection{Borwein:2000:PEN,
author = "J. M. Borwein and P. B. Borwein and K. Dilcher",
title = "Pi, {Euler} Numbers, and Asymptotic Expansions",
crossref = "Berggren:2000:PSB",
pages = "642--648",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4757-3240-5_65",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1583/;
http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_65",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2000:R,
author = "Jonathan Borwein and Kwok-Kwong Stephen Choi",
title = "On the representations of $ x y + y z + z x $",
journal = j-EXP-MATH,
volume = "9",
number = "1",
pages = "153--158",
year = "2000",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2000.10504642",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11D85",
MRnumber = "1758806",
MRreviewer = "Mao Hua Le",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/212/;
http://projecteuclid.org/euclid.em/1046889597",
abstract = "We show that there are at most 19 integers that are
not of the form $ x y + y z + x z $ with $ x, y, z \geq
1 $. Eighteen of them are small and easily found. The
remaining possibility must be greater than $ 10^{11} $
and cannot occur if we assume the Generalized Riemann
Hypothesis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:119.",
}
@TechReport{Borwein:2000:RCS,
author = "David Borwein and Jonathan Borwein and Greg Fee and
Roland Girgensohn",
title = "Refined Convexity and Special Cases of the
{Blaschke--Santalo} Inequality",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "8",
day = "3",
month = apr,
year = "2000",
bibdate = "Thu Sep 01 09:02:50 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/222",
abstract = "We derive the $ l_p $ version of the classical
Blaschke--Santalo inequality for polar volumes as a
consequence of more subtle convexity estimates for the
volume of the $p$ ball in Euclidean space. We also give
analogs for the $ (p, q)$-substitution norms.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Modified 6 June 2000.",
}
@TechReport{Borwein:2000:RGC,
author = "J. M. Borwein and M. Fabian and I. Kortezov and P. D.
Loewen",
title = "The range of the gradient of a continuously
differentiable bump",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "21",
day = "12",
month = oct,
year = "2000",
MRclass = "46G05, 58C20",
bibdate = "Thu Sep 01 09:47:22 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2001:RGC}.",
URL = "http://docserver.carma.newcastle.edu.au/231/",
abstract = "For a continuously differentiable function with
bounded nonempty support, the range of the gradient
cannot be locally contained in a hyperplane. However,
iterative methods allow the construction of
continuously differentiable functions whose gradient
ranges have rather general topological features. For
example, the gradient range may fail to be simply
connected.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2000:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, Modular Equations, and Approximations to
Pi or How to Compute One Billion Digits of Pi",
crossref = "Berggren:2000:PSB",
pages = "623--641",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4757-2736-4_64;
https://doi.org/10.1007/978-1-4757-3240-5_64",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64;
http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_64",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2000:SDI,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Separable determination of integrability and
minimality of the {Clarke} subdifferential mapping",
journal = j-PROC-AM-MATH-SOC,
volume = "128",
number = "1",
pages = "215--221",
month = jan,
year = "2000",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-99-05001-7",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J52 (46N10 58C20)",
MRnumber = "1622793",
MRreviewer = "Lionel Thibault",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/196/;
https://www.jstor.org/stable/119403",
abstract = "In this paper we show that the study of integrability
and D-representability of Lipschitz functions defined
on arbitrary Banach spaces reduces to the study of
these properties on separable Banach spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 97:102.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2000:SDI",
}
@Article{Borwein:2000:SM,
author = "D. Borwein and J. M. Borwein and P. Mar{\'e}chal",
title = "Surprise maximization",
journal = j-AMER-MATH-MONTHLY,
volume = "107",
number = "6",
pages = "517--527",
month = jun # "\slash " # jul,
year = "2000",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2589347",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "00A08 (03B48 90C90)",
MRnumber = "1767060",
MRreviewer = "S. Kutateladze",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/209/",
abstract = "The Surprise Examination or Unexpected Hanging Paradox
has long fascinated mathematicians and philosophers, as
the number of publications devoted to it attests. For
an exhaustive bibliography on the subject, see [1]. We
examine and solve the optimization problems arising
from an information theoretic avoidance of the Paradox.
These problems provide a very satisfactory application
of both the Kuhn-Tucker theory and of various classical
inequalities and estimation techniques. We assume some
elementary knowledge of optimization but recall the
necessary convex analytic concepts in the course of the
paper. Readers unfamiliar with this background may
simply skip a couple of proofs and a few technical
details.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:116.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2000:SM",
}
@Article{Theodorescu:2000:PSS,
author = "Radu Theodorescu and Jonathan M. Borwein",
title = "Problems and Solutions: Solutions: Moments of the
{Poisson} Distribution: 10738",
journal = j-AMER-MATH-MONTHLY,
volume = "107",
number = "7",
pages = "659--659",
month = aug # "\slash " # sep,
year = "2000",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2589135",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1543703",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2589135",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2001:EMR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental mathematics: recent developments and
future outlook",
crossref = "Engquist:2001:MUB",
pages = "51--66",
year = "2001",
MRclass = "00A99",
MRnumber = "1852153",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/250/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 99:143.",
}
@Article{Bauschke:2001:ESE,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
L. Combettes",
title = "Essential smoothness, essential strict convexity, and
{Legendre} functions in {Banach} spaces",
journal = j-COMMUN-CONTEMP-MATH,
volume = "3",
number = "4",
pages = "615--647",
year = "2001",
DOI = "https://doi.org/10.1142/S0219199701000524",
ISSN = "0219-1997 (print), 1793-6683 (electronic)",
MRclass = "49J53 (46G05 46N10)",
MRnumber = "1869107",
MRreviewer = "S. Simons",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/232/",
abstract = "The classical notions of essential smoothness,
essential strict convexity, and Legendreness for convex
functions axe extended from Euclidean to Banach spaces.
A pertinent duality theory is developed and several
useful characterizations are given. The proofs rely on
new results on the more subtle behavior of
subdifferentials and directional derivatives at
boundary points of the domain. In weak Asplund spaces,
a new formula allows the recovery of the
subdifferential from nearby gradients. Finally, it is
shown that every Legendre function on a reflexive
Banach space is zone consistent, a fundamental property
in the analysis of optimization algorithms based on
Bregman distances. Numerous illustrating examples are
provided.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Communications in Contemporary Mathematics",
journal-URL = "http://www.worldscientific.com/worldscinet/ccm",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 00:156.",
researcherid-numbers = "Combettes, Patrick/A-2442-2011 Borwein,
Jonathan/A-6082-2009 Bauschke, Heinz/D-5582-2009",
unique-id = "Bauschke:2001:ESE",
}
@InProceedings{Bauschke:2001:JSC,
author = "Heinz H. Bauschke and Jonathan M. Borwein",
editor = "Dan Butnariu and Yair Censor and Simeon Reich",
booktitle = "Inherently Parallel Algorithms in Feasibility and
Optimization and their Applications ({Haifa}, 2000)",
title = "Joint and separate convexity of the {Bregman}
distance",
volume = "8",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "23--36",
year = "2001",
DOI = "https://doi.org/10.1016/S1570-579X(01)80004-5",
ISSN = "1570-579X (print), 2212-1145 (electronic)",
ISSN-L = "1570-579X",
MRclass = "90C48 (49J53 65J05 90C30)",
MRnumber = "1853214",
MRreviewer = "Simeon Reich",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Studies in Computational Mathematics",
URL = "http://docserver.carma.newcastle.edu.au/227/;
http://www.sciencedirect.com/science/article/pii/S1570579X01800045",
abstract = "Algorithms involving Bregman projections for solving
optimization problems have been receiving much
attention lately. Several of these methods rely
crucially on the joint convexity of the Bregman
distance. In this note, we study joint and separate
convexity of Bregman distances. To bring out the main
ideas more clearly, we consider first functions defined
on an open interval. Our main result states that the
Bregman distance of a given function is jointly convex
if and only if the reciprocal of its second derivative
is concave. We observe that Bregman distances induced
by the two most popular choices --- the energy and the
Boltzmann--Shannon entropy --- are limiting cases in a
profound sense. This result is generalized by weakening
assumptions on differentiability and strict convexity.
We then consider general, not necessarily separable,
convex functions. The characterization of joint
convexity has a natural and beautiful analog. Finally,
we discuss spectral functions, where the situation is
less clear. Throughout, we provide numerous examples to
illustrate our results.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = ":Bregman distance; convex function; joint convexity;
separate convexity",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2001:AWMa,
author = "Jonathan M. Borwein",
title = "Aesthetics for the Working Mathematician",
type = "Report",
institution = "Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "22",
day = "18",
month = apr,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Public Lecture at Queen's University Symposium on
Beauty and the Mathematical Beast, April 18--19,
Kingston, ON, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/150/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "No abstract available.",
}
@Article{Borwein:2001:CBS,
author = "Jonathan Michael Borwein and David J. Broadhurst and
Joel Kamnitzer",
title = "Central binomial sums, multiple {Clausen} values, and
zeta values",
journal = j-EXP-MATH,
volume = "10",
number = "1",
pages = "25--34",
year = "2001",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2001.10504426",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11G55 (05A10 11M06 33B99)",
MRnumber = "1821569",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://arxiv.org/abs/hep-th/0004153;
http://docserver.carma.newcastle.edu.au/243/;
http://projecteuclid.org/euclid.em/999188418",
abstract = "We find and prove relationships between Riemann zeta
values and central binomial sums. We also investigate
alternating binomial sums (also called Apery sums). The
study of nonalternating sums leads to an investigation
of different types of sums which we call multiple
Clausen values. The study of alternating sums leads to
a tower of experimental results involving
polylogarithms in the golden ratio.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:CBS",
}
@Article{Borwein:2001:CFL,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Convex functions of {Legendre} type in general
{Banach} spaces",
journal = j-J-CONVEX-ANAL,
volume = "8",
number = "2",
pages = "569--581",
year = "2001",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "46G99 (46N10 49J50)",
MRnumber = "1915959",
MRreviewer = "A. B. N{\'e}meth",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/228/;
http://www.heldermann.de/JCA/JCA08/JCA082/jca08030.htm",
abstract = "Convex functions of Legendre type are constructed on
arbitrary open convex sets in Banach spaces that
satisfy appropriate rotundity and smoothness
conditions. A simple direct proof of the existence of
``universal'' barriers on arbitrary open convex sets in
$ \mathbb {R}^n $ is given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 00:151.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:CFL",
}
@Article{Borwein:2001:CMCa,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Challenges in Mathematical Computing",
journal = j-COMPUT-SCI-ENG,
volume = "3",
number = "3",
pages = "48--53",
month = may # "\slash " # jun,
year = "2001",
CODEN = "CSENFA",
DOI = "https://doi.org/10.1109/5992.919266",
ISSN = "1521-9615 (print), 1558-366X (electronic)",
ISSN-L = "1521-9615",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/computscieng.bib",
URL = "http://dlib.computer.org/cs/books/cs2001/pdf/c3048.pdf;
http://docserver.carma.newcastle.edu.au/135/;
http://www.computer.org/cse/cs1999c3048abs.htm",
abstract = "Almost all interesting mathematical algorithmic
questions relate to NP-hard questions. Such computation
is prone to explode exponentially. The authors
anticipate the greatest benefit will come from
mathematical platforms that allow for computer-assisted
insight generation, not from solutions of
grand-challenge problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Computing in Science and Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
keywords = "Algebra; computational complexity; Computer
architecture; Computer networks; computer-assisted
insight generation; Databases; Encyclopedias;
grand-challenge problems; HTML; Java; mathematical
algorithmic questions; mathematical computing;
mathematical platforms; Mathematics; mathematics
computing; NP-hard questions; Packaging; Statistics;
symbol manipulation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:CMC",
}
@TechReport{Borwein:2001:CMCc,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Challenges in Mathematical Computing",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "12",
day = "19",
month = feb,
year = "2001",
bibdate = "Wed Aug 31 12:21:01 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/135/2/01_160-Borwein-Borwein-ocr.pdf",
abstract = "Almost all interesting mathematical algorithmic
questions relate to NP-hard questions and such
computation is prone to explode exponentially. More
space, more speed and processors, and even say massive
parallelism will have an impact but it will be largely
at a ``micro not macro'' level. We anticipate the
greatest benefit accruing from mathematical platforms
that allow for highly computer assisted insight
generation (more ``aha''s per cycle), not from solution
of grand challenge problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2001:CSF,
author = "Jonathan M. Borwein and Adrian S. Lewis and Qiji J.
Zhu",
booktitle = "Optimization and related topics
({Ballarat}/{Melbourne}, 1999)",
title = "Convex spectral functions of compact operators. {II}.
{Lower} semicontinuity and rearrangement invariance",
volume = "47",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "179--196",
year = "2001",
DOI = "https://doi.org/10.1007/978-1-4757-6099-6_12",
MRclass = "49N15 (47A10 47B10 90C25)",
MRnumber = "1893622",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Appl. Optim.",
URL = "http://docserver.carma.newcastle.edu.au/251/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2001:DIS,
author = "J. M. Borwein and S. P. Fitzpatrick",
title = "Duality inequalities and sandwiched functions",
journal = j-NONLINEAR-ANAL,
volume = "46",
number = "3",
pages = "365--380",
year = "2001",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(00)00129-2",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J53 (49N15 90C46)",
MRnumber = "1851858",
MRreviewer = "Roberto Lucchetti",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/204/;
http://www.sciencedirect.com/science/article/pii/S0362546X00001292",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Ekeland variational principle; Fenchel duality;
Mean-value inequalities; Nonconvex separation; Sandwich
theorem; Schauder fixed-point theorem",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Research Report 98:111.",
}
@Article{Borwein:2001:EM,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "28",
number = "??",
pages = "77--80",
month = "????",
year = "2001",
DOI = "",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
bibdate = "Fri Aug 12 11:12:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1527/",
acknowledgement = ack-nhfb,
ajournal = "Aust. Math. Soc. Gaz.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Australian Mathematical Society Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The journal has archives only from volume 31 (2004) at
\url{https://austms.org.au/publications/gazette/gazette-past-issues/}.",
}
@Article{Borwein:2001:GSB,
author = "Jonathan M. Borwein and Warren B. Moors and Xianfu
Wang",
title = "Generalized subdifferentials: a {Baire} categorical
approach",
journal = j-TRANS-AM-MATH-SOC,
volume = "353",
number = "10",
pages = "3875--3893",
year = "2001",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-01-02820-3",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "49J52 (46G05 58C20)",
MRnumber = "1837212",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/234/",
abstract = "We use Baire categorical arguments to construct
pathological locally Lipschitz functions. The origins
of this approach can be traced back to Banach and
Mazurkiewicz (1931) who independently used similar
categorical arguments to show that ``almost every
continuous real-valued function defined on [0,1] is
nowhere differentiable''. As with the results of Banach
and Mazurkiewicz, it appears that it is easier to show
that almost every function possesses a certain property
than to construct a single concrete example. Among the
most striking results contained in this paper are:
Almost every 1-Lipschitz function defined on a Banach
space has a Clarke subdifferential mapping that is
identically equal to the dual ball; if \{T-1;
T-2,\ldots{},T-n\} is a family of maximal cyclically
monotone operators defined on a Banach space X then
there exists a real-valued locally Lipschitz function g
such that partial derivative (0g)(x) =co \{T-1(x);
T-2(x),\ldots{},T-n(x)\} for each x is an element of X;
in a separable Banach space each non-empty weak*
compact convex subset in the dual space is identically
equal to the approximate subdifferential mapping of
some Lipschitz function and for locally Lipschitz
functions defined on separable spaces the notions of
strong and weak integrability coincide.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 99:127.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:GSB",
}
@TechReport{Borwein:2001:LLC,
author = "J. M. Borwein and J. Vanderwerff and Xianfu Wang",
title = "Local {Lipschitz}-constant functions and maximal
subdifferentials",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "28",
year = "2001",
MRclass = "49J52 (54E52)",
bibdate = "Thu Sep 01 10:51:58 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2003:LLC}.",
URL = "http://docserver.carma.newcastle.edu.au/55/2/01_158-Borwein-Vanderwerff-Wang.pdf",
abstract = "It is shown that if k(x) is an upper semicontinuous
and quasi lower semicontinuous function on a Banach
space X, then k(z)Bx~ is the Clarke subdifferential of
some locally Lipschitz function on X. Related results
for approximate subdifferentials are also given.
Moreover, on smooth Banach spaces, for every locally
Lipschitz function with minimal Clarke subdifferential,
one can obtain a maximal Clarke subdifferential map via
its ``local Lipschitz-constant'' function. Finally,
some results concerning the characterization and
calculus of local Lipschitz-constant functions are
developed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "approximate subdifferential; Baire category; Clarke
subdifferential; Lipschitz function; local
Lipschitz-constant function",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2001:MVS,
author = "David Borwein and Jonathan M. Borwein and Bernard A.
{Mares, Jr.}",
title = "Multi-variable sinc integrals and volumes of
polyhedra",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "19",
day = "9",
month = feb,
year = "2001",
bibdate = "Thu Sep 01 10:57:31 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/56/",
abstract = "We investigate multi-variable integrals of products of
sinc functions and show how they may be interpreted as
volumes of symmetric convex polyhedra. We then derive
an explicit formula for computing such sinc integrals
and so equivalently volumes of polyhedra.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2001:NRI,
author = "J. Borwein and R. Goebel",
title = "Notions of relative interior in {Banach} spaces",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "17",
day = "10",
month = oct,
year = "2001",
MRclass = "49J53 (46B20 90C48)",
MRnumber = "1992991",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Wed Aug 31 12:30:27 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2003:NRI}.",
URL = "http://docserver.carma.newcastle.edu.au/138/",
abstract = "Extensions to a Banach space of the equivalent notions
of relatively absorbing, non-support, and relative
interior points of a convex set in $ \mathbb {R}^n $
are presented. The relations between these extensions
are studied, and their basic calculus rules are
developed. Several explicit examples and
counterexamples in general Banach spaces are given; and
the tools for development of further examples are
explained. Various implications for infinite
dimensional optimization are highlighted.",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Sci. (NY)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Sciences (New York)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue on optimization and related topics, 1.
CECM Preprint 01:162.",
}
@Article{Borwein:2001:RCS,
author = "D. Borwein and J. Borwein and G. Fee and R.
Girgensohn",
title = "Refined convexity and special cases of the
{Blaschke--Santalo} inequality",
journal = j-MATH-INEQUAL-APPL,
volume = "4",
number = "4",
pages = "631--638",
year = "2001",
DOI = "https://doi.org/10.7153/mia-04-56",
ISSN = "1331-4343 (print), 1848-9966 (electronic)",
ISSN-L = "1331-4343",
MRclass = "52A38 (26B25 52A40)",
MRnumber = "1859668",
MRreviewer = "Beifang Chen",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/222/",
abstract = "We derive the l(p) version of the classical
Blaschke-Santalo inequality for polar volumes as a
consequence of more subtle convexity estimates for the
volume of the p-ball in Euclidean space. We also give
analogs for the (p, q) -substitution norm.",
acknowledgement = ack-nhfb,
ajournal = "Math. Inequal. Appl.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Inequalities \& Applications",
journal-URL = "http://mia.ele-math.com/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 00:146.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:RCS",
}
@Article{Borwein:2001:RGC,
author = "J. M. Borwein and M. Fabian and I. Kortezov and P. D.
Loewen",
title = "The range of the gradient of a continuously
differentiable bump",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "2",
number = "1",
pages = "1--19",
year = "2001",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "58C20 (46G05 49J53)",
MRnumber = "1828155",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue for Professor Ky Fan.",
URL = "http://docserver.carma.newcastle.edu.au/231/;
http://www.ybook.co.jp/online2/opjnca/vol2/p1.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2001:RP,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "{Ramanujan} and pi",
crossref = "Berndt:2001:RES",
pages = "187--199",
year = "2001",
MRclass = "11-03 (01A70)",
MRnumber = "1862751",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of \cite{Borwein:1988:RP}.",
series = "Hist. Math.",
URL = "http://docserver.carma.newcastle.edu.au/1379/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2001:SGR,
author = "Jonathan M. Borwein and Ivaylo Kortezov",
title = "Some generic results on nonattaining functionals",
journal = j-SET-VALUED-ANAL,
volume = "9",
number = "1--2",
pages = "35--47",
year = "2001",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1023/A:1011246414064",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "46N10 (49J53 54E52)",
MRnumber = "1845933",
MRreviewer = "Gargi Chakraborty",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Wellposedness in optimization and related topics
(Gargnano, 1999).",
URL = "http://docserver.carma.newcastle.edu.au/221/",
abstract = "We prove that (a) in a reflexive space, for any
linearly bounded but unbounded closed convex subset the
nonsupport functionals are a dense G(delta) subset of
the polar set, and (b) any non-semicoercive proper
convex Isc [weak*-lsc] function in a [dual] Banach
space has a generic [dense G(delta)] set of
L-infinity-perturbations which do not attain their
infimum. We also characterize the proper convex
functions that have inf-nonattaining
L-infinity-perturbations. This results also in a
criterion for reflexivity.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:SGR",
}
@Article{Borwein:2001:SRP,
author = "David Borwein and Jonathan M. Borwein",
title = "Some remarkable properties of sinc and related
integrals",
journal = j-RAMANUJAN-J,
volume = "5",
number = "1",
pages = "73--89",
year = "2001",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1023/A:1011497229317",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "42A38 (26D15 40A05 41A55)",
MRnumber = "1829810",
MRreviewer = "Philip Heywood",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/249/",
abstract = "Using Fourier transform techniques, we establish
inequalities for integrals of the form [GRAPHICS] We
then give quite striking closed form evaluations of
such integrals and finish by discussing various
extensions and applications.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:SRP",
}
@Article{Borwein:2001:STC,
author = "J. M. Borwein and X. Wang",
title = "Subdifferentiability of typical continuous functions",
journal = "Nonlinear Analysis Forum",
volume = "6",
number = "1",
pages = "49--58",
year = "2001",
ISSN = "1226-7228",
MRclass = "49J52 (26A24 46G05 46T20)",
MRnumber = "1844467",
MRreviewer = "Yan Gao",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear analysis and its applications (St. John's,
NF, 1999).",
URL = "http://docserver.carma.newcastle.edu.au/241/;
http://prof.ks.ac.kr/bslee/naf/table/vol-0601/v0601-05a.PDF",
acknowledgement = ack-nhfb,
ajournal = "Nonlinear Anal. Forum",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis Forum. An International Journal",
journal-URL = "http://prof.ks.ac.kr/bslee/naf/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2001:SVM,
author = "Jonathan M. Borwein and David M. Bradley and David J.
Broadhurst and Petr Lison{\v{e}}k",
title = "Special values of multiple polylogarithms",
journal = j-TRANS-AM-MATH-SOC,
volume = "353",
number = "3",
pages = "907--941",
month = mar,
year = "2001",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-00-02616-7",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "33B30 (11G55 11Y60 33E20)",
MRnumber = "1709772",
MRreviewer = "P. D. F. Ion",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/221840",
abstract = "Historically, the polylogarithm has attracted
specialists and nonspecialists alike with its lovely
evaluations. Much the same can be said for Euler sums
(or multiple harmonic sums), which, within the past
decade, have arisen in combinatorics, knot theory and
high-energy physics. More recently, we have been forced
to consider multidimensional extensions encompassing
the classical polylogarithm, Euler sums, and the
Riemann zeta function. Here, we provide a general
framework within which previously isolated results can
now be properly understood. Applying the theory
developed herein, we prove several previously
conjectured evaluations, including an intriguing
conjecture of Don Zagier.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2001:SVM",
}
@Article{Lindqvist:2001:PSS,
author = "Peter Lindqvist and Jaak Peetre and Jonathan M.
Borwein",
title = "Problems and Solutions: Solutions: Generalized
Trigonometric Functions: 10744",
journal = j-AMER-MATH-MONTHLY,
volume = "108",
number = "5",
pages = "473--474",
year = "2001",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2695813",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRnumber = "1544137",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borowski:2002:MCD,
author = "Ephraim J. Borowski and Jonathan M. Borwein",
title = "Mathematics: {Collins} dictionary",
publisher = pub-COLLINS,
address = pub-COLLINS:adr,
edition = "Second",
pages = "633",
year = "2002",
ISBN = "0-00-710295-X",
ISBN-13 = "978-0-00-710295-2",
LCCN = "????",
bibdate = "Tue Aug 16 09:04:49 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Dictionaries; Mathematik;
W{\"o}rterbuch.; Mathematics.",
}
@Article{Borwein:2002:ANB,
author = "J. M. Borwein and M. Jim{\'e}nez-Sevilla and J. P.
Moreno",
title = "Antiproximinal norms in {Banach} spaces",
journal = j-J-APPROX-THEORY,
volume = "114",
number = "1",
pages = "57--69",
year = "2002",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1006/jath.2001.3636",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "46B20 (41A65)",
MRnumber = "1880294",
MRreviewer = "Ioan {\c{S}}erb",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/233/;
http://www.sciencedirect.com/science/article/pii/S0021904501936366",
abstract = "We prove that every Banach space containing a
complemented copy of $ c_0 $ has an antiproximinal body
for a suitable norm. If, in addition, the space is
separable, there is a pair of antiproximinal norms. In
particular, in a separable polyhedral space $X$, the
set of all (equivalent) norms on $X$ having an
isomorphic antiproximinal norm is dense. In contrast,
it is shown that there are no antiproximinal norms in
Banach spaces with the convex point of continuity
property (CPCP). Other questions related to the
existence of antiproximinal bodies are also
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
received = "CECM Preprint 00:157.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2002:ANB",
}
@Article{Borwein:2002:ASS,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Addendum: ``{A survey of subdifferential calculus with
applications'' [Nonlinear Anal.\ {\bf 38} (1999), no.\
6, Ser.\ A: Theory Methods, 687--773; (2000j:49024)]}",
journal = j-NONLINEAR-ANAL,
volume = "49",
number = "2, Ser. A: Theory Methods",
pages = "295--296",
year = "2002",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(01)00099-2",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J52 (46G05 46N10 49-02 49J53 58C05)",
MRnumber = "1885123",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "See \cite{Borwein:1999:SSC}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2002:CBC,
author = "J. M. Borwein and J. D. Vanderwerff",
title = "On the continuity of biconjugate convex functions",
journal = j-PROC-AM-MATH-SOC,
volume = "130",
number = "6",
pages = "1797--1803",
month = jun,
year = "2002",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-01-06249-9",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B20 (46N10 52A41)",
MRnumber = "1887028",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/230/;
https://www.jstor.org/stable/2699775",
abstract = "We show that a Banach space is a Grothendieck space if
and only if every continuous convex function on $X$ has
a continuous biconjugate function on $ X**$, thus also
answering a question raised by S. Simons. Related
characterizations and examples are given.",
acknowledgement = ack-nhfb,
article-number = "UNSP S 0002-9939(01)06249-9",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 00:154.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2002:CBC",
}
@TechReport{Borwein:2002:DSSc,
author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
title = "On {Dirichlet} series for sums of squares",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "29",
day = "5",
month = feb,
year = "2002",
bibdate = "Wed Aug 31 14:12:44 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:2003:DSS}.",
URL = "http://docserver.carma.newcastle.edu.au/142/",
abstract = "In [14], Hardy and Wright recorded elegant closed
forms for the generating functions of the divisor
functions $ \sigma_k(n) $ and $ \sigma_k(n)^2 $ in the
terms of Riemann Zeta function $ \zeta (s) $ only. In
this paper, we explore other arithmetical functions
enjoying this remarkable property. In Theorem 2.1
below, we are able to generalize the above result and
prove that if $ f_i $ and $ g_i $ are completely
multiplicative, then we have \par
$$ \sum_{n = 1}^\infty \frac {(f_1 \ast g_1)(n) \cdot
(f_2 \ast g_2)(n)}{n^s} = f r a c{L_{f_1 f_2}(s) L_{g_1
g_2}(s) L_{f_1 g_2}(s)}{L_{f_1 f_2 g_1 g_2}(2s)} $$
\par
where $ L_f(s) := \sum_{n = 1}^\infty f(n) n^{-s} $ is
the Dirichlet series corresponding to $f$. Let $
r_N(n)$ be the number of solutions of $ x_1^2 + \cdots
+ x_N^2 = n$ and $ r_{2, P}(n)^2$ be the number of
solutions of $ x^2 + P y^2 = n$. One of the
applications of Theorem 2.1 is to obtain closed forms,
in terms of $ \zeta (s)$ and Dirichlet $L$-functions,
for the generating functions of $ r_N(n)$, $ r_N^2
(n)$, $ r_{2, P}p(n)$ and $ r_{2, p}(n)^2$ for certain
$N$ and $P$. We also use these generating functions to
obtain asymptotic estimates of the average values for
each function for which we obtain a Dirichlet series.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2002:EMI,
author = "J. M. Borwein",
title = "Experimental Mathematics and Integer Relations",
journal = "European Research Consortium for Informatics and
Mathematics, ERCIM News",
volume = "50",
number = "??",
pages = "30--31",
month = jul,
year = "2002",
bibdate = "Sat Aug 13 17:35:58 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Section Special Theme ERCIMathematics.",
URL = "https://www.ercim.eu/publication/Ercim_News/enw50/borwein.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://ercim-news.ercim.eu/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The journal web sites has no online content before
volume 86, July 2011.",
}
@Article{Borwein:2002:FES,
author = "J. M. Borwein and I. Kortezov and H. Wiersma",
title = "A {$ C^1 $}-function that is even on a sphere and has
no critical points in the ball",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "3",
number = "1",
pages = "1--16",
year = "2002",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "49J53 (26B35 47J30)",
MRnumber = "1895233",
MRreviewer = "S. Simons",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/140/;
http://www.ybook.co.jp/online2/jncav3.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:164.",
}
@Article{Borwein:2002:MVS,
author = "David Borwein and Jonathan M. Borwein and Bernard A.
{Mares, Jr.}",
title = "Multi-variable sinc integrals and volumes of
polyhedra",
journal = j-RAMANUJAN-J,
volume = "6",
number = "2",
pages = "189--208",
year = "2002",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1023/A:1015727317007",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "52A38 (42B10)",
MRnumber = "1908197",
MRreviewer = "Carla Peri",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/56/",
abstract = "We investigate multi-variable integrals of products of
sinc functions and show how they may be interpreted as
volumes of symmetric convex polyhedra. We then derive
an explicit formula for computing such sinc integrals
and so equivalently volumes of polyhedra.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:159.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2002:MVS",
}
@TechReport{Borwein:2002:PDA,
author = "J. Borwein and R. Choksi and P. Mar{\'e}chal",
title = "Probability distributions of assets inferred from
option prices via the {Principle of Maximum Entropy}",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "19",
day = "7",
month = jan,
year = "2002",
bibdate = "Wed Aug 31 07:10:33 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/10/2/02_3A176-Borwein-Choksi-Marechal.pdf",
abstract = "This article revisits the maximum entropy algorithm in
the context of recovering the probability distribution
of an asset from the prices of finitely many associated
European call options, via partially finite convex
programming. We are able to provide an effective
characterization of the constraint qualification under
which the problem reduces to optimizing an explicit
function in finitely many variables. We also prove that
the value (or objective) function is lower
semi-continuous on its domain. Reference is given to a
web-site which exploits these ideas for the efficient
computation of the maximum entropy solution.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2002:RGL,
author = "J. M. Borwein and M. Fabian and P. D. Loewen",
title = "The range of the gradient of a {Lipschitz} {$ C^1
$}-smooth bump in infinite dimensions",
journal = j-ISRAEL-J-MATH,
volume = "132",
number = "1",
pages = "239--251",
month = dec,
year = "2002",
CODEN = "ISJMAP",
DOI = "https://doi.org/10.1007/BF02784514",
ISSN = "0021-2172 (print), 1565-8511 (electronic)",
ISSN-L = "0021-2172",
MRclass = "58C05 (46B20 46G05)",
MRnumber = "1952623",
MRreviewer = "Li Xin Cheng",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/144/;
http://link.springer.com/article/10.1007/BF02784514",
abstract = "If a Banach space has a Lipschitz $ C^1$-smooth bump
function, then it admits other bumps of the same
smoothness whose gradients exactly fill the dual unit
ball and other reasonable figures. This strengthens a
result of Azagra and Deville who were able to cover the
dual unit ball.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Israel Journal of Mathematics",
journal-URL = "http://link.springer.com/journal/11856",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:169.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Fabian,
Marian/D-5427-2014",
unique-id = "Borwein:2002:RGL",
}
@Article{Borwein:2002:RNC,
author = "Jon Borwein and John Giles and Jon Vanderwerff",
title = "Rotund norms, {Clarke} subdifferentials and extensions
of {Lipschitz} functions",
journal = j-NONLINEAR-ANAL,
volume = "48",
number = "2",
pages = "287--301",
year = "2002",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(00)00187-5",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "49J52 (46B20)",
MRnumber = "1870757",
MRreviewer = "Lionel Thibault",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/219/;
http://www.sciencedirect.com/science/article/pii/S0362546X00001875",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Baire category; Clarke subdifferentials; Extensions;
Lipschitz functions; Rotund norms",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 98:126.",
}
@Article{Borwein:2002:SSC,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "A survey of subdifferential calculus with
applications: [Nonlinear Anal. TMA {\bf 38} (1999)
687--773]",
journal = j-NONLINEAR-ANAL,
volume = "49",
number = "2",
pages = "295--296",
year = "2002",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/S0362-546X(01)00099-2",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/199/;
http://www.sciencedirect.com/science/article/pii/S0362546X01000992",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis, Theory, Methods and Applications",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2003:BMO,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
L. Combettes",
title = "{Bregman} monotone optimization algorithms",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "42",
number = "2",
pages = "596--636",
year = "2003",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/S0363012902407120",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
MRclass = "90C25 (47H05 47N10 90C48)",
MRnumber = "1982285",
MRreviewer = "Simeon Reich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/127/",
abstract = "A broad class of optimization algorithms based on
Bregman distances in Banach spaces is unified around
the notion of Bregman monotonicity. A systematic
investigation of this notion leads to a simplified
analysis of numerous algorithms and to the development
of a new class of parallel block-iterative surrogate
Bregman projection schemes. Another key contribution is
the introduction of a class of operators that is shown
to be intrinsically tied to the notion of Bregman
monotonicity and to include the operators commonly
found in Bregman optimization methods. Special emphasis
is placed on the viability of the algorithms and the
importance of Legendre functions in this regard.
Various applications are discussed.",
acknowledgement = ack-nhfb,
article-number = "PII S0363012902407120",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:184.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Combettes,
Patrick/A-2442-2011 Bauschke, Heinz/D-5582-2009",
unique-id = "Bauschke:2003:BMO",
}
@Article{Benoist:2003:CQV,
author = "Jo{\"e}l Benoist and Jonathan M. Borwein and Nicolae
Popovici",
title = "A characterization of quasiconvex vector-valued
functions",
journal = j-PROC-AM-MATH-SOC,
volume = "131",
number = "4",
pages = "1109--1113",
month = apr,
year = "2003",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-02-06761-8",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "26B25 (49J53 90C26)",
MRnumber = "1948101",
MRreviewer = "Laura Martein",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/145/;
https://www.jstor.org/stable/1194189",
abstract = "The aim of this paper is to characterize in terms of
scalar quasiconvexity the vector-valued functions which
are $K$-quasiconvex with respect to a closed convex
cone $K$ in a Banach space. Our main result extends a
well-known characterization of $K$-quasiconvexity by
means of extreme directions of the polar cone of $K$,
obtained by Dinh The Luc in the particular case when
$K$ is a polyhedral cone generated by exactly $n$
linearly independent vectors in the Euclidean space $
\mathbb {R}^n$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Popovici, Nicolae/0000-0002-1842-6005; Roohi,
Mehdi/0000-0002-8444-042X; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:170.",
researcherid-numbers = "Popovici, Nicolae/G-6304-2010 Borwein,
Jonathan/A-6082-2009",
unique-id = "Benoist:2003:CQV",
}
@TechReport{Berggren:2003:PP,
author = "J. Lennart Berggren and Jonathan Borwein and Peter
Borwein",
title = "A Pamphlet on Pi serving as a Supplement for the Third
Edition of {{\booktitle{Pi: A Source Book}}}",
type = "CECM Preprint",
number = "2003:210",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "65",
day = "17",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:15:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/33/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "List of Figures / i \\
1 Pi and Its Friends / 1 \\
1.1 A Recent History of Pi / 1 \\
1.1.1 The ENIAC Integrator and Calculator / 5 \\
1.2 Computing Individual Digits of Pi / 7 \\
1.3 Does Pi Have a Non-Binary BBP Formula? / 13 \\
\\
2 Normality of Numbers / 17 \\
2.1 Normality: A Stubborn Question / 17 \\
2.2 BBP Constants and Normality / 22 \\
2.3 A Class of Provably Normal Constants / 26 \\
\\
3 Historia Cyclometrica / 29 \\
3.1 1 Kings, 2 Chronicles, and Maimonides / 29 \\
3.2 Fran{\c{c}}ois Vi{\`e}te. Book VIII, Chapter XVIII.
/ 30 \\
3.2.1 Ratio of Regular Polygons, Inscribed in a Circle,
to the Circle / 30 \\
3.2.2 Defense Against the New Cyclometry or anti-axe. /
33 \\
3.3 Christian Huygens. Problem IV, Proposition XX. / 43
\\
3.3.1 Determining the Magnitude of the Circle / 43 \\
\\
4 Demotica Cyclometrica / 47 \\
4.1 Irving Kaplansky's ``Song of Pi'' / 47 \\
4.2 Ludolph van Ceulen's Tombstone / 47 \\
\\
Bibliography / 55 \\
Index / 59",
}
@Article{Borwein:2003:BGT,
author = "J. M. Borwein and A. L. Dontchev",
title = "On the {Bartle--Graves} theorem",
journal = j-PROC-AM-MATH-SOC,
volume = "131",
number = "8",
pages = "2553--2560",
year = "2003",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-03-07229-0",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J53 (47J20)",
MRnumber = "1974655",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/128/",
abstract = "The Bartle-Graves theorem extends the Banach open
mapping principle to a family of linear and bounded
mappings, thus showing that surjectivity of each member
of the family is equivalent to the openness of the
whole family. In this paper we place this theorem in
the perspective of recent concepts and results, and
present a general Bartle-Graves theorem for set-valued
mappings. As applications, we obtain versions of this
theorem for mappings defined by systems of
inequalities, and for monotone variational
inequalities.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:185.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Dontchev,
Assen/J-6833-2017",
unique-id = "Borwein:2003:BGT",
}
@Article{Borwein:2003:CEI,
author = "Jonathan Borwein and Roland Girgensohn",
title = "A class of exponential inequalities",
journal = j-MATH-INEQUAL-APPL,
volume = "6",
number = "3",
pages = "397--411",
year = "2003",
DOI = "https://doi.org/10.7153/mia-06-37",
ISSN = "1331-4343 (print), 1848-9966 (electronic)",
ISSN-L = "1331-4343",
MRclass = "26D15",
MRnumber = "1992480",
MRreviewer = "Feng Qi",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/148/",
abstract = "We prove that for reals $ x_i $ with $ \sum x_i \geq 0
$, the estimate $ \sum x_i e^{x_i} \geq (C_N / N) \sum
x_i^2 $ holds, where $ C_N = \max \{ 2, e (1 - 1 / N)
\} $. We also prove analogues for the $I$-norm and for
Lebesgue-integrable functions.",
acknowledgement = ack-nhfb,
ajournal = "Math. Inequal. Appl.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Inequalities \& Applications",
journal-URL = "http://mia.ele-math.com/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:174.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2003:CEI",
}
@InCollection{Borwein:2003:DB,
author = "Jonathan M. Borwein",
editor = "Alex C. Michalos",
booktitle = "The best teacher {I} ever had: personal reports from
highly productive scholars",
title = "On {David Borwein}",
crossref = "Michalos:2003:BTE",
chapter = "14",
pages = "??--??",
year = "2003",
bibdate = "Sat Aug 13 17:29:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2003:DSS,
author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
title = "On {Dirichlet} series for sums of squares",
journal = j-RAMANUJAN-J,
volume = "7",
number = "1--3",
pages = "95--127",
year = "2003",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1023/A:1026230709945",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11M41 (11E25)",
MRnumber = "2035795",
MRreviewer = "Don Redmond",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Rankin memorial issues.",
URL = "http://docserver.carma.newcastle.edu.au/142/",
abstract = "Hardy and Wright (\booktitle{An Introduction to the
Theory of Numbers}, 5th edn., Oxford, 1979) recorded
elegant closed forms for the generating functions of
the divisor functions $ \sigma_k(n) $ and $
\sigma^2_k(n) $ in the terms of Riemann Zeta function $
\zeta (s) $ only. In this paper, we explore other
arithmetical functions enjoying this remarkable
property. In Theorem 2.1 below, we are able to
generalize the above result and prove that if $ f_i $
and $ g_i $ are completely multiplicative, then we have
[large equation] where $ L_f(s) := \sum_{n = 1}^\infty
f(n) n^{-s} $ is the Dirichlet series corresponding to
$f$. Let $ r_N(n)$ be the number of solutions of $
x_1^2 + \ldots {} + x_N^2 = n$ and $ r_{2, P}(n)$ be
the number of solutions of $ x^2 + P y^2 = n$. One of
the applications of Theorem 2.1 is to obtain closed
forms, in terms of $ \zeta (s)$ and Dirichlet
$L$-functions, for the generating functions of $
r_N(n)$, $ r_N^2 (n)$, $ r_{2, P}(n)$ and $ r_{2,
P}(n)^2$ for certain $N$ and $P$. We also use these
generating functions to obtain asymptotic estimates of
the average values for each function for which we
obtain a Dirichlet series.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:167.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2003:DSS",
}
@Article{Borwein:2003:LFL,
author = "J. M. Borwein and Xianfu Wang",
title = "{Lipschitz} functions on the line with prescribed
{H{\"o}lder} subdifferentials",
journal = "Advanced Studies in Contemporary Mathematics
(Kyungshang).",
volume = "7",
number = "2",
pages = "93--117",
year = "2003",
ISSN = "1229-3067",
ISSN-L = "1229-3067",
MRclass = "49J52 (26A16 26A24 26A27)",
MRnumber = "2005859",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1526/",
acknowledgement = ack-nhfb,
ajournal = "Adv. Stud. Contemp. Math. (Kyungshang)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Advanced Studies in Contemporary Mathematics
(Kyungshang). Memoirs of the Jangjeon Mathematical
Society",
journal-URL = "http://www.jangjeon.or.kr/etc/Search.html?division=ASCM",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Article archive requires login access.",
}
@Article{Borwein:2003:LLC,
author = "J. M. Borwein and J. Vanderwerff and Xianfu Wang",
title = "Local {Lipschitz}-constant functions and maximal
subdifferentials",
journal = j-SET-VALUED-ANAL,
volume = "11",
number = "1",
pages = "37--67",
year = "2003",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1023/A:1021975622768",
ISSN = "0927-6947 (print), 1572-932X (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J52 (54E40 54E52)",
MRnumber = "1954034",
MRreviewer = "John R. Giles",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1023/A%3A1021975622768",
abstract = "It is shown that if $ k(x) $ is an upper
semicontinuous and quasi lower semicontinuous function
on a Banach space $X$, then $ k(x) B - X*$ is the
Clarke subdifferential of some locally Lipschitz
function on $X$. Related results for approximate
subdifferentials are also given. Moreover, on smooth
Banach spaces, for every locally Lipschitz function
with minimal Clarke subdifferential, one can obtain a
maximal Clarke subdifferential map via its `local
Lipschitz-constant' function. Finally, some results
concerning the characterization and calculus of local
Lipschitz-constant functions are developed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:158.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2003:LLC",
}
@InProceedings{Borwein:2003:MDM,
author = "J. M. Borwein and T. Stanway",
title = "Managing Digital Mathematical Discourse",
crossref = "Asperti:2003:MKM",
pages = "45--55",
year = "2003",
bibdate = "Sat Aug 13 17:26:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "In this paper, we propose that the present state of
Mathematical Knowledge Management (MKM) derives from
two main imperatives: the desire to organize and
encapsulate mathematical knowledge after it is produced
and the desire to encapsulate the act of production.
While progress in digital network technology has
facilitated a confluence of these efforts, their
original separation imposes an approximate rubric on
MKM which may be used to help define the challenges
facing the field. We propose that one of the main
challenges lies in the question of fixed versus
flexible ontologies and the related question of
ontology resolution between applications. Finally, we
describe Emkara, an application which adopts a flexible
metadata definition in the archiving and retrieval of
digital mathematical exchanges, queries, and grey
literature.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2003:MDM",
}
@TechReport{Borwein:2003:MEP,
author = "Jonathan M. Borwein and David H. Bailey and Roland
Girgensohn",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century and Experiments in Mathematics:
Computational Paths to Discovery",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "iv + 67",
day = "28",
month = aug,
year = "2003",
bibdate = "Mon Sep 05 06:29:13 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.187.5170&rep=rep1&type=pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2003:NRI,
author = "J. Borwein and R. Goebel",
title = "Notions of relative interior in {Banach} spaces",
journal = "Journal of Mathematical Sciences (New York)",
volume = "115",
number = "4",
pages = "2542--2553",
year = "2003",
CODEN = "JMTSEW",
DOI = "https://doi.org/10.1023/A:1022988116044",
ISSN = "1072-3374 (print), 1573-8795 (electronic)",
MRclass = "49J53 (46B20 90C48)",
MRnumber = "1992991",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue on optimization and related topics, 1.",
URL = "http://docserver.carma.newcastle.edu.au/138/;
http://link.springer.com/article/10.1023/A%3A1022988116044",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Sci. (NY)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Sciences (New York)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:162.",
}
@Article{Borwein:2003:PDA,
author = "J. Borwein and R. Choksi and P. Mar{\'e}chal",
title = "Probability distributions of assets inferred from
option prices via the principle of maximum entropy",
journal = j-SIAM-J-OPT,
volume = "14",
number = "2",
pages = "464--478",
year = "2003",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/S1052623401400324",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "90C25 (91B28)",
MRnumber = "2048161",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/10/",
abstract = "This article revisits the maximum entropy algorithm in
the context of recovering the probability distribution
of an asset from the prices of finitely many associated
European call options via partially finite
convex-programming. We are able to provide an effective
characterization of the constraint qualification under
which the problem reduces to optimizing an explicit
function in finitely many variables. We also prove that
the value (or objective) function is lower
semicontinuous on its domain. Reference is given to a
website which exploits these ideas for the efficient
computation of the maximum entropy solution (MES).",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:176.",
researcherid-numbers = "Choksi, Rustum/A-9985-2009 Borwein,
Jonathan/A-6082-2009",
unique-id = "Borwein:2003:PDA",
}
@Article{Borwein:2003:SWG,
author = "Jonathan Borwein and Simon Fitzpatrick and Roland
Girgensohn",
title = "Subdifferentials whose graphs are not norm $ \times $
weak$^*$ closed",
journal = j-CAN-MATH-BULL,
volume = "46",
number = "4",
pages = "538--545",
month = dec,
year = "2003",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2003-051-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "49J52 (46N10 47H05 90C48)",
MRnumber = "2011392",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v46/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
URL = "http://cms.math.ca/10.4153/CMB-2003-051-5;
http://docserver.carma.newcastle.edu.au/149/",
abstract = "In this note we give examples of convex functions
whose subdifferentials have unpleasant properties.
Particularly, we exhibit a proper lower semicontinuous
convex function on a separable Hilbert space such that
the graph of its subdifferential is not dosed in the
product of the norm and bounded weak topologies. We
also exhibit a set whose sequential normal cone is not
norm dosed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:175.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2003:SWG",
}
@Article{Kellar:2003:DCM,
author = "Melanie Kellar and Bonnie MacKay and Rui Zhang and
Carolyn Watters and David Kaufman and Jonathan
Borwein",
title = "Dynamic Composition of Math Lessons",
journal = "Journal of Educational Technology \& Society",
volume = "6",
number = "4",
pages = "100--111",
month = "????",
year = "2003",
ISSN = "1176-3647 (print), 1436-4522 (electronic)",
ISSN-L = "1176-3647",
bibdate = "Tue Feb 06 09:20:39 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1525/;
http://ifets.ieee.org/periodical/6_4/10.pdf;
https://www.jstor.org/stable/jeductechsoci.6.4.100",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "https://www.jstor.org/journal/jeductechsoci",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2004:BEA,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall and Carl Pomerance",
title = "On the binary expansions of algebraic numbers",
journal = "Journal de Th{\'e}orie des Nombres de {Bordeaux}",
volume = "16",
number = "3",
pages = "487--518",
year = "2004",
ISSN = "1246-7405 (print), 2118-8572 (electronic)",
ISSN-L = "1246-7405",
MRclass = "11K16 (11J25 11J91)",
MRnumber = "2144954",
MRreviewer = "John H. Loxton",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/36/;
http://jtnb.cedram.org/item?id=JTNB_2004__16_3_487_0",
acknowledgement = ack-nhfb,
ajournal = "J. Th{\'e}or. Nombres Bordeaux",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal de Th{\'e}orie des Nombres de Bordeaux",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:204.",
}
@InCollection{Borwein:2004:AGMa,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic--Geometric Mean and Fast Computation of
Elementary Functions",
crossref = "Berggren:2004:PSB",
pages = "537--552",
year = "2004",
DOI = "https://doi.org/10.1007/978-1-4757-4217-6_56",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Reprint of \cite{Borwein:1984:AGM}.",
URL = "http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_56",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2004:CCS,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Constructible convex sets",
journal = j-SET-VALUED-ANAL,
volume = "12",
number = "1--2",
pages = "61--77",
month = mar # "\slash " # jun,
year = "2004",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1023/B:SVAN.0000023393.75251.05",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J53 (46B20 46N10 90C25 90C48)",
MRnumber = "2069352",
MRreviewer = "Diethard Pallaschke",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/38/",
abstract = "We investigate when closed convex sets can be written
as countable intersections of closed half-spaces in
Banach spaces. It is reasonable to consider this class
to comprise the constructible convex sets since such
sets are precisely those that can be defined by a
countable number of linear inequalities, hence are
accessible to techniques of semi-infinite convex
programming. We also explore some model theoretic
implications. Applications to set convergence are given
as limiting examples.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:202.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2004:CCS",
}
@Article{Borwein:2004:CMU,
author = "J. Borwein and I. Kortezov",
title = "Constructive minimal uscos",
journal = j-C-R-ACAD-BULGARE-SCI,
volume = "57",
number = "12",
pages = "9--12",
year = "2004",
CODEN = "DBANAD",
ISSN = "1310-1331 (print), 2367-5535 (electronic)",
ISSN-L = "1310-1331",
MRclass = "49J53 (54C60)",
MRnumber = "2117234",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/273/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Dokladi na B\cdprime lgarskata Akademiya na Naukite.
Comptes Rendus de l'Acad{\'e}mie Bulgare des Sciences",
journal-URL = "http://www.proceedings.bas.bg/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 273. The journal web site only has an
abstract for this paper.",
xxtitle = "Constructive minimal cuscos",
}
@Article{Borwein:2004:DCM,
author = "Jonathan M. Borwein and James V. Burke and Adrian S.
Lewis",
title = "Differentiability of cone-monotone functions on
separable {Banach} space",
journal = j-PROC-AM-MATH-SOC,
volume = "132",
number = "4",
pages = "1067--1076",
month = apr,
year = "2004",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-03-07149-1",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J50 (46G05 46N10)",
MRnumber = "2045422",
MRreviewer = "Jes{\'u}s A. Jaramillo",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/123/1/;
http://docserver.carma.newcastle.edu.au/1242/;
https://www.jstor.org/stable/4097135",
abstract = "Motivated by applications to (directionally) Lipschitz
functions, we provide a general result on the almost
everywhere Gateaux differentiability of real-valued
functions on separable Banach spaces, when the function
is monotone with respect to an ordering induced by a
convex cone with nonempty interior. This seemingly
arduous restriction is useful, since it covers the case
of directionally Lipschitz functions, and necessary. We
show by way of example that most results fail more
generally.",
acknowledgement = ack-nhfb,
article-number = "PII S0002-9939(03)07149-1",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:183.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2004:DCM",
}
@InProceedings{Borwein:2004:DSS,
author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
title = "{Dirichlet} series for squares of sums of squares: a
summary",
crossref = "Kisilevsky:2004:NTP",
volume = "36",
pages = "27--34",
year = "2004",
MRclass = "11M41 (11E25)",
MRnumber = "2076564",
MRreviewer = "Don Redmond",
bibdate = "Sat Aug 13 17:30:35 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CRM Proc. Lecture Notes",
ZMnumber = "1078.11055",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2004:EMCa,
author = "Jonathan M. Borwein and David H. Bailey and Roland
Girgensohn",
title = "Experimentation in mathematics: computational paths to
discovery",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "x + 357",
year = "2004",
ISBN = "1-56881-136-5",
ISBN-13 = "978-1-56881-136-9",
LCCN = "QA12 .B67 2004",
MRclass = "11-01 (11Yxx 40-01 42A16 42A38 68W30)",
MRnumber = "2051473",
MRreviewer = "F. Beukers",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
shorttableofcontents = "Sequences, series, products and integrals / 1
\\
Fourier series and integrals / 69 \\
Zeta functions and multizeta functions / 131 \\
Partitions and powers / 183 \\
Primes and polynomials / 225 \\
The power of constructive proofs II / 263 \\
Numerical techniques II / 299",
tableofcontents = "",
xxyear = "2003",
}
@Article{Borwein:2004:FEA,
author = "Jonathan M. Borwein and David Borwein and William F.
Galway",
title = "Finding and excluding $b$-ary {Machin}-type individual
digit formulae",
journal = j-CAN-J-MATH,
volume = "56",
number = "5",
pages = "897--925",
month = "????",
year = "2004",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2004-041-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11Y60 (11A67 11G55 33B30)",
MRnumber = "2085627",
MRreviewer = "Greg Martin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib",
note = "This paper established the result that there are no
degree-1 BBP-type formulas for $ \pi $, except when the
base is 2 (or an integer power thereof).",
URL = "http://docserver.carma.newcastle.edu.au/47/",
abstract = "Constants with formulae of the form treated by D.
Bailey, P. Borwein, and S. Plouffe (BBP formulae to a
given base $b$) have interesting computational
properties, such as allowing single digits in their
base $b$ expansion to be independently computed, and
there are hints that they should be normal numbers,
i.e., that their base $b$ digits are randomly
distributed. We study a formally limited subset of BBP
formulae, which we call Machin-type BBP formulae, for
which it is relatively easy to determine whether or not
a given constant kappa has a Machin-type BBP formula.
In particular, given $b$ is an element of $N$, $ b >
2$, $b$ not a proper power, a $b$-ary Machin-type BBP
arctangent formula for $ \kappa $ is a formula of the
form $ \kappa = \sum_m a_m \arctan ( - b^{-m})$, $ a_m$
is an element of $Q$, while when $ b = 2$, we also
allow terms of the form $ a_m \arctan (1 / (1 - 2^m))$.
Of particular interest, we show that $ \pi $ has no
Machin-type BBP arctangent formula when $ b \neq 2$. To
the best of our knowledge, when there is no Machin-type
BBP formula for a constant then no BBP formula of any
form is known for that constant.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:195.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2004:FEB",
}
@Book{Borwein:2004:MEP,
author = "Jonathan M. Borwein and David H. Bailey",
title = "Mathematics by Experiment: Plausible Reasoning in the
{21st Century}",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "x + 288",
year = "2004",
ISBN = "1-56881-211-6",
ISBN-13 = "978-1-56881-211-3",
LCCN = "QA76.95 .B67 2003",
MRclass = "00A35",
MRnumber = "2033012",
MRreviewer = "John H. Mason",
bibdate = "Fri Oct 17 10:38:25 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
price = "US\$45.00",
URL = "http://docserver.carma.newcastle.edu.au/272/",
abstract = "Using examples that truly represent the experimental
methodology, this book provides the historical context
of, and rationale behind, experimental mathematics. It
shows how today, the use of advanced computing
technology provides, mathematicians with an amazing,
previously unimaginable ``laboratory,'' in which
examples can be analyzed, new ideas tested, and
patterns discovered. This is a perfect introduction to
the history and current state of research and
technology in the growing field of experimental
mathematics.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Due to an unfortunate error, some of the citations in
the book point to the wrong item in the Bibliography.
Here is how to find the correct citation number:
[1]--[85]: Citation number is correct; [86, page 100]:
[86]; [86, page 2]: [87]; [87]--[156]: Add one to
citation number; [157]: [159]; [158, page 139]: [158];
[158, page 97]: [160]; [159]--[196]: Add two to
citation number",
tableofcontents = "What is Experimental Mathematics? \\
Experimental Mathematics in Action \\
Pi and Its Friends \\
Normality of Numbers \\
The Power of Constructive Proofs I \\
Numerical Techniques I \\
Making Sense of Experimental Math",
}
@Article{Borwein:2004:OPV,
author = "Jonathan Borwein and Lixin Cheng and Mari{\'a}n Fabian
and Julian P. Revalski",
title = "A one perturbation variational principle and
applications",
journal = j-SET-VALUED-ANAL,
volume = "12",
number = "1--2",
pages = "49--60",
year = "2004",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1023/B:SVAN.0000023400.92518.cb",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J53 (46B20 46G05 49J40 49J50)",
MRnumber = "2069351",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/14/",
abstract = "We study a variational principle in which there is one
common perturbation function $ \phi $ for every proper
lower semicontinuous extended real-valued function $f$
defined on a metric space $X$. Necessary and sufficient
conditions are given in order for the perturbed
function $ f + \phi $ to attain its minimum. In the
case of a separable Banach space we obtain a specific
principle in which the common perturbation function is,
in addition, also convex and Hadamard-like
differentiable. This allows us to provide applications
of the principle to differentiability of convex
functions on separable and more general Banach
spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:205.",
researcherid-numbers = "Fabian, Marian/D-5427-2014 Borwein,
Jonathan/A-6082-2009 Cheng, LX/G-3342-2010",
unique-id = "Borwein:2004:OPV",
}
@InCollection{Borwein:2004:PEN,
author = "J. M. Borwein and P. B. Borwein and K. Dilcher",
title = "Pi, {Euler} Numbers, and Asymptotic Expansions",
crossref = "Berggren:2004:PSB",
pages = "642--648",
year = "2004",
DOI = "https://doi.org/10.1007/978-1-4757-4217-6_65",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of \cite{Borwein:1989:PEN}.",
URL = "http://docserver.carma.newcastle.edu.au/1583/;
http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_65",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2004:RAFa,
author = "J. Borwein and R. Crandall and G. Fee",
title = "On the {Ramanujan} {AGM} Fraction, {I}: The
Real-Parameter Case",
journal = j-EXP-MATH,
volume = "13",
number = "3",
pages = "275--285",
year = "2004",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2004.10504540",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11J70 (11A55 33C05 40A15)",
MRnumber = "2103326",
MRreviewer = "James G. Mc Laughlin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/27/;
http://projecteuclid.org/euclid.em/1103749836",
abstract = "The Ramanujan AGM continued fraction is a construct
[GRAPHIC] enjoying attractive algebraic properties,
such as a striking arithmetic-geometric mean (AGM)
relation and elegant connections with elliptic-function
theory. But the fraction also presents an intriguing
computational challenge. Herein we show how to rapidly
evaluate $R$ for any triple of positive reals $a$, $b$,
$ \eta $. Even in the problematic scenario when a
approximate to $b$ certain transformations allow rapid
evaluation. In this process we find, for example, that
when $ a_\eta = b_\eta = $ a rational number, $ R_\eta
$, is essentially an $L$-series that can be cast as a
finite sum of fundamental numbers. We ultimately
exhibit an algorithm that yields $D$ good digits of $R$
in $ O(D)$ iterations where the implied big-$O$
constant is independent of the positive-real triple
$a$, $b$, $ \eta $. Finally, we address the evidently
profound theoretical and computational dilemmas
attendant on complex parameters, indicating how one
might extend the AGM relation for complex parameter
domains.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2004:RAFa",
}
@Article{Borwein:2004:RAFb,
author = "J. Borwein and R. Crandall",
title = "On the {Ramanujan} {AGM} Fraction, {II}: The
Complex-Parameter Case",
journal = j-EXP-MATH,
volume = "13",
number = "3",
pages = "287--295",
year = "2004",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2004.10504541",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11J70 (11A55 33C05)",
MRnumber = "2103327",
MRreviewer = "James G. Mc Laughlin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/29/;
http://projecteuclid.org/euclid.em/1103749837",
abstract = "The Ramanujan continued fraction is interesting in
many ways; e.g., for certain complex parameters $
(\eta, a, b) $ one has an attractive AGM relation $
R_{\eta }(a.b) + R_\eta (b, a) = 2 R_\eta ((a + b) / 2,
\sqrt {a b}) $. Alas, for some parameters the continued
fraction $ R_\eta $, does not converge; moreover, there
are converging instances where the AGM relation itself
does not hold. To unravel these dilemmas we herein
establish convergence theorems, the central result
being that $ R_1 $ converges whenever $ |a| \neq |b| $.
Such analysis leads naturally to the conjecture that
divergence occurs whenever $ a = b e^{i \phi } $ with $
c o s^2 \phi \neq 1 $ (which conjecture has been proven
in a separate work) [Borwein et al. 04b.] We further
conjecture that for $ a / b $ lying in a certain ---
and rather picturesque --- complex domain, we have both
convergence and the truth of the AGM relation.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2004:RAFb",
}
@InCollection{Borwein:2004:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, Modular Equations, and Approximations to
Pi or How to Compute One Billion Digits of Pi",
crossref = "Berggren:2004:PSB",
pages = "623--641",
year = "2004",
DOI = "https://doi.org/10.1007/978-1-4757-4217-6_64",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_64",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2005:EDA,
author = "David H. Bailey and Jonathan M. Borwein and David M.
Bradley",
title = "Experimental determination of {Ap{\'e}ry}-like
identities for $ \zeta (2 n + 2) $",
journal = "ArXiv Mathematics e-prints",
month = may,
year = "2005",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2005math......5270B;
http://docserver.carma.newcastle.edu.au/163/;
http://docserver.carma.newcastle.edu.au/295/",
abstract = "We document the discovery of two generating functions
for the Riemann zeta values $ \zeta (2 n + 2) $,
analogous to earlier work for $ \zeta (2 n + 1) $ and $
\zeta (4 n + 3) $. This continues work initiated by
Koecher and pursued further by Borwein, Bradley and
others.",
abstract-2 = "Some rapidly convergent formulae for special values of
the Riemann Zeta function are given. We obtain a
generating function formula for $ \zeta (4 n + 3) $
which generalizes Ap{\'e}ry's series for $ \zeta (3) $,
and appears to give the best possible series relations
of this type, at least for $ n < 12 $. The formula
reduces to a finite but apparently non-trivial
combinatorial identity. The identity is equivalent to
an interesting new integral evaluation for the central
binomial coefficient. We outline a new technique for
transforming and summing certain infinite series. We
also derive a beautiful formula which provides strange
evaluations of a large new class of non-terminating
hypergeometric series. It should be emphasized that our
main results are shown equivalent but are still only
conjectures.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/0505270",
keywords = "Mathematics - Number Theory, Mathematics - Classical
Analysis and ODEs, 11M06 (Primary), 33C20 (Secondary)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2005:EME,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental mathematics: examples, methods and
implications",
journal = j-NAMS,
volume = "52",
number = "5",
pages = "502--514",
month = may,
year = "2005",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "00A35",
MRnumber = "2140093",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1241/;
http://www.ams.org/notices/200505/fea-borwein.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 269.",
}
@Article{Bailey:2005:FPC,
author = "D. H. Bailey and J. M. Borwein",
title = "Future Prospects for Computer-assisted Mathematics",
journal = j-CMS-NOTES,
volume = "37",
number = "8",
pages = "2--6",
month = dec,
year = "2005",
DOI = "",
ISSN = "1193-9273 (print), 1496-4295 (electronic)",
ISSN-L = "1193-9273",
bibdate = "Sat Aug 13 17:21:21 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/304/;
https://cms.math.ca/notes/v37/n8/Notesv37n8.pdf",
acknowledgement = ack-nhfb,
ajournal = "CMS Notes",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Society Notes",
journal-URL = "https://cms.math.ca/notes",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2005:ADC,
author = "J. M. Borwein and K. Karamanos",
editor = "Andrew Eberhard and Nicolas Hadjisavvas and Dinh The
Luc",
booktitle = "Generalized Convexity, Generalized Monotonicity and
Applications",
title = "Algebraic Dynamics of Certain Gamma Function Values",
volume = "77",
publisher = pub-SV,
address = pub-SV:adr,
bookpages = "xi + 350",
pages = "3--21",
year = "2005",
DOI = "https://doi.org/10.1007/0-387-23639-2_1",
ISBN = "0-387-23638-4",
ISBN-13 = "978-0-387-23638-4",
MRclass = "11Y60 (33B15 37B99 37N99 94A17)",
MRnumber = "2103023",
MRreviewer = "Brian L. Burrows",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Nonconvex Optim. Appl.",
URL = "http://docserver.carma.newcastle.edu.au/256/;
http://link.springer.com/chapter/10.1007/0-387-23639-2_1",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Eberhard,
Andrew/0000-0003-2977-3456",
}
@Article{Borwein:2005:BRS,
author = "Jonathan M. Borwein",
title = "Book Review: {{\booktitle{The SIAM 100-Digit
challenge: a study in high-accuracy numerical
computing}}, Folkmar Bornemann, Dirk Laurie, Stan
Wagon, and JSrg Waldvogel, SIAM, Philadelphia, PA, USA
2004, xil + 306 pp. softcover, ISBN 0-89871 561-X,
US\$57.00}",
journal = j-MATH-INTEL,
volume = "27",
number = "4",
pages = "40--48",
year = "2005",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF02985860",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Fri Aug 12 10:34:00 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "D-drive preprint 285.",
}
@Article{Borwein:2005:CFT,
author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi
and Wilfried Pigulla",
title = "Continued fractions of tails of hypergeometric
series",
journal = j-AMER-MATH-MONTHLY,
volume = "112",
number = "6",
pages = "493--501",
month = jun # "\slash " # jul,
year = "2005",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/30037519",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33C05 (40A15)",
MRnumber = "2142600",
MRreviewer = "Takao Komatsu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/39/;
https://www.jstor.org/stable/30037519",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:201.",
}
@Article{Borwein:2005:CMF,
author = "Jonathan M. Borwein and Xianfu Wang",
title = "Cone-monotone functions: differentiability and
continuity",
journal = j-CAN-J-MATH,
volume = "57",
number = "5",
pages = "961--982",
year = "2005",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2005-037-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "49J50 (26B05 46G05 58C20)",
MRnumber = "2164591",
MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We provide a porosity-based approach to the
differentiability and continuity of real-valued
functions on separable Banach spaces, when the function
is monotone with respect to an ordering induced by a
convex cone $K$ with non-empty interior. We also show
that the set of nowhere $K$-monotone functions has a
sigma-porous complement in the space of continuous
functions endowed with the uniform metric.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2005:CMF",
}
@Article{Borwein:2005:DCF,
author = "Jonathan M. Borwein and D. Russell Luke",
title = "Dynamics of a continued fraction of {Ramanujan} with
random coefficients",
journal = j-ABSTR-APPL-ANAL,
volume = "2005",
number = "5",
pages = "449--467",
month = "????",
year = "2005",
DOI = "https://doi.org/10.1155/AAA.2005.449",
ISSN = "1085-3375 (print), 1687-0409 (electronic)",
ISSN-L = "1085-3375",
MRclass = "11J70 (60F15)",
MRnumber = "2201037",
MRreviewer = "Mary E. Flahive",
bibdate = "Fri Aug 12 10:09:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2005AbApA2005..449B;
http://www.hindawi.com/journals/aaa/2005/162798/abs/",
abstract = "We study a generalization of a continued fraction of
Ramanujan with random, complex-valued coefficients. A
study of the continued fraction is equivalent to an
analysis of the convergence of certain stochastic
difference equations and the stability of random
dynamical systems. We determine the convergence
properties of stochastic difference equations and so
the divergence of their corresponding continued
fractions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Abstract and Applied Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
received = "16 November 2004",
remark = "CoLab Preprint 275",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2005:DCF",
}
@Article{Borwein:2005:EBS,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Evaluations of binomial series",
journal = j-AEQUATIONES-MATHEMATICAE,
volume = "70",
number = "1--2",
pages = "25--36",
year = "2005",
CODEN = "AEMABN",
DOI = "https://doi.org/10.1007/s00010-005-2774-x",
ISSN = "0001-9054 (print), 1420-8903 (electronic)",
ISSN-L = "0001-9054",
MRclass = "05A10 (11B65 33B30)",
MRnumber = "2167981",
MRreviewer = "Valery V. Karachik",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/131/",
abstract = "We give closed forms, recursion formulas and
experimental results for the series $ \sum n^k / \binom
{2n}{n} $ and $ \sum 2^{-n} n^k / \binom {3n}{n} $ with
$ k \in \mathbb {Z} $.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Aequationes Mathematicae",
journal-URL = "http://link.springer.com/journal/10",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:188.",
}
@Article{Borwein:2005:EDA,
author = "Jonathan M. Borwein and David M. Bradley",
title = "Empirically determined {Ap{\'e}ry}-like formulae for $
\zeta (4 n + 3) $",
journal = "ArXiv Mathematics e-prints",
month = may,
year = "2005",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2005math......5124B;
http://docserver.carma.newcastle.edu.au/163/",
abstract = "Some rapidly convergent formulae for special values of
the Riemann zeta function are given. We obtain a
generating function formula for $ \zeta (4 n + 3) $
which generalizes Ap{\'e}ry's series for $ \zeta (3) $,
and appears to give the best possible series relations
of this type, at least for $ n \lt 12 $. The formula
reduces to a finite but apparently non-trivial
combinatorial identity. The identity is equivalent to
an interesting new integral evaluation for the central
binomial coefficient. We outline a new technique for
transforming and summing certain infinite series. We
also derive a beautiful formula which provides strange
evaluations of a large new class of non-terminating
hypergeometric series. Our main results are shown to be
equivalent. At the time this article was submitted for
publication back in 1996, these results were only
conjectures, but they have subsequently been proved as
a result of work due to Gert Almkvist and Andrew
Granville.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/0505124",
keywords = "Mathematics - Classical Analysis and ODEs, Mathematics
- Number Theory, 11M06",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2005:EMPa,
author = "J. M. Borwein",
title = "The Experimental Mathematician: The Pleasure of
Discovery and the Role of Proof",
journal = "International Journal of Computers for Mathematical
Learning",
volume = "10",
number = "2",
pages = "75--108",
month = may,
year = "2005",
DOI = "https://doi.org/10.1007/s10758-005-5216-x",
ISSN = "1382-3892 (print), 1573-1766 (electronic)",
ISSN-L = "1382-3892",
bibdate = "Fri Aug 12 10:49:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Counterpart presentation published in CMESG25
Proceedings, 2002, with lecture slides at
\url{http://www.cecm.sfu.ca/personal/jborwein/proof.pdf}.",
URL = "http://docserver.carma.newcastle.edu.au/264/;
http://link.springer.com/article/10.1007/s10758-005-5216-x;
https://web.archive.org/web/20040330173752/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://link.springer.com/journal/10758",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark-1 = "CECM Preprint 02:178; 264.",
remark-2 = "Journal renamed in 2011 to \booktitle{Technology,
knowledge and learning}.",
}
@Article{Borwein:2005:KCM,
author = "Jonathan Borwein and Terry Stanway",
title = "Knowledge and Community in Mathematics",
journal = j-MATH-INTEL,
volume = "27",
number = "2",
pages = "7--16",
year = "2005",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF02985788",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "01A80 (00A05)",
MRnumber = "2156530",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/274/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 274.",
}
@Article{Borwein:2005:LFM,
author = "Jonathan M. Borwein and Xianfu Wang",
title = "{Lipschitz} functions with maximal {Clarke}
subdifferentials are staunch",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "72",
number = "3",
pages = "491--496",
year = "2005",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S0004972700035322",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "49J52 (26B05 26E25 54C30)",
MRnumber = "2199651",
MRreviewer = "Dariusz Zagrodny",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/302/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4829356",
abstract = "In a recent paper we have shown that most
non-expansive Lipschitz functions (in the sense of
Baire's category) have a maximal Clarke sub
differential. In the present paper, we show that in a
separable Banach space the set of non-expansive
Lipschitz functions with a maximal Clarke
subdifferential is not only generic, but also staunch
in the space of non-expansive functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2005:LFM",
}
@InProceedings{Borwein:2005:PFW,
author = "Jonathan M. Borwein and Mason Macklem and Jaehyun
Paek",
editor = "????",
booktitle = "SIAM Conference on Computational Science and
Engineering, Orlando, February 2005",
title = "A Prototype for the Federated World Directory of
Mathematicians",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "??--??",
year = "2005",
bibdate = "Sat Aug 13 17:23:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2005:SSA,
author = "J. M. Borwein and David M. Bradley",
title = "Searching symbolically for {Ap{\'e}ry}-like formulae
for values of the {Riemann} zeta function",
journal = "ArXiv Mathematics e-prints",
month = may,
year = "2005",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2005math......5093B;
http://docserver.carma.newcastle.edu.au/170/",
abstract = "We discuss some aspects of the search for identities
using computer algebra and symbolic methods. The focus
is on so-called Ap{\'e}ry-like formulae for special
values of the Riemann Zeta function. Much work lays
ahead in formally proving and properly classifying many
of the identities we have uncovered.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/0505093",
keywords = "Mathematics - Classical Analysis and ODEs, Mathematics
- Number Theory, 11M06",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2005:TFI,
author = "Jonathan M. Borwein and David M. Bradley",
title = "On Two Fundamental Identities for {Euler} Sums",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "??--??",
month = feb,
year = "2005",
bibdate = "Tue Aug 16 10:16:43 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/math.NT/0502034/;
http://docserver.carma.newcastle.edu.au/279/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The archive.org URL is wrong: it points to the
\title{Thirty-two Goldbach Variations} paper.",
}
@Article{Borwein:2005:TTG,
author = "J. M. Borwein and David M. Bradley",
title = "Thirty-two {Goldbach} Variations",
journal = "ArXiv Mathematics e-prints",
day = "1",
month = feb,
year = "2005",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2005math......2034B;
http://arxiv.org/abs/math/0502034;
http://docserver.carma.newcastle.edu.au/301/",
abstract = "We give thirty-two diverse proofs of a small
mathematical gem --- the fundamental Euler sum identity
$$ \zeta (2, 1) = \zeta (3) = 8 \zeta (\bar 2, 1) $$.
We also discuss various generalizations for multiple
harmonic (Euler) sums and some of their many
connections, thereby illustrating both the wide variety
of techniques fruitfully used to study such sums and
the attraction of their study.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/0502034",
keywords = "Mathematics - Number Theory, 11M41",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "v1 (1 February 2005): 34 pages AMSLaTeX. v2 (3
November 2005): 41 pages AMSLaTeX. New introductory
material added and material on inequalities, Hilbert
matrix and Witten zeta functions. Errors in the second
section on Complex Line Integrals are corrected.
Published in \cite{Borwein:2006:TTG}.",
}
@Book{Borwein:2005:TVA,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Techniques of Variational Analysis",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 362",
year = "2005",
DOI = "https://doi.org/10.1007/0-387-28271-8",
ISBN = "0-387-24298-8",
ISBN-13 = "978-0-387-24298-9",
MRclass = "49-02 (49J52 49J53 90-02)",
MRnumber = "2144010",
MRreviewer = "Richard B. Vinter",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques
de la SMC, 20",
URL = "http://docserver.carma.newcastle.edu.au/1735/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "Front Matter / i--vi \\
Introduction and Notation / 1--4 \\
Variational Principles / 5--36 \\
Variational Techniques in Subdifferential Theory /
37--109 \\
Variational Techniques in Convex Analysis / 111--163
\\
Variational Techniques and Multifunctions / 165--241
\\
Variational Principles in Nonlinear Functional Analysis
/ 243--289 \\
Variational Techniques In the Presence of Symmetry /
291--338 \\
Back Matter / 339--362",
}
@InProceedings{Bailey:2006:EBE,
author = "D. H. Bailey and J. M. Borwein",
booktitle = "20th International Symposium on High-Performance
Computing in an Advanced Collaborative Environment
(HPCS'06)",
title = "Effective Bounds in {Euler--Maclaurin}-Based
Quadrature (Summary for {HPCS06})",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "34--34",
month = may,
year = "2006",
DOI = "https://doi.org/10.1109/HPCS.2006.22",
ISSN = "1550-5243 (print), 2378-2099 (electronic)",
ISSN-L = "1550-5243",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/hpcs06.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Approximation error; Computer errors; Computer
science; Concurrent computing; Error analysis;
International collaboration; Mathematics; System
testing",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2006:EDA,
author = "David H. Bailey and Jonathan M. Borwein and David M.
Bradley",
title = "Experimental Determination of {Ap{\'e}ry}-like
Identities for $ \zeta (2 n + 2) $",
journal = j-EXP-MATH,
volume = "15",
number = "3",
pages = "281--289",
year = "2006",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2006.10128968",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60 (11M06)",
MRnumber = "2264467",
MRreviewer = "Tanguy Rivoal",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/15/3",
URL = "http://docserver.carma.newcastle.edu.au/295/;
http://projecteuclid.org/euclid.em/1175789759",
abstract = "We document the discovery of two generating functions
for $ \zeta (2 n + 2) $, analogous to earlier work for
$ \zeta (2 n + 1) $ and $ \zeta (4 n + 3) $, initiated
by Koecher and pursued further by Borwein, Bradley, and
others.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "30 Jan 2011",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Bailey:2006:EDA",
}
@TechReport{Bailey:2006:FGE,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Finding General Explicit Formulas for {Ising} Integral
Recursions",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
day = "2",
month = oct,
year = "2006",
bibdate = "Fri Sep 30 08:18:51 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/ising-int.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$K_0$ modified Bessel function; ARPREC multiprecision
software system",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2006:IIC,
author = "D. H. Bailey and J. M. Borwein and R. E. Crandall",
title = "Integrals of the {Ising} class",
journal = j-J-PHYS-A,
volume = "39",
number = "40",
pages = "12271--12302",
month = oct,
year = "2006",
CODEN = "JPHAC5",
DOI = "https://doi.org/10.1088/0305-4470/39/40/001",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "33F05 (33F10 65D30 82B20 82B80)",
MRnumber = "2261886",
MRreviewer = "Syamal K. Sen",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
URL = "http://adsabs.harvard.edu/abs/2006JPhA...39..001B;
http://docserver.carma.newcastle.edu.au/324/;
http://iopscience.iop.org/article/10.1088/0305-4470/39/40/001;
http://stacks.iop.org/0305-4470/39/i=40/a=001",
abstract = "From an experimental-mathematical perspective we
analyse 'Ising-class' integrals. These are structurally
related $n$-dimensional integrals we call $ C_n$, $
D_n$, $ E_n$, where $ D_n$ is a magnetic susceptibility
integral central to the Ising theory of solid-state
physics. We first analyse $ C_n \coloneq \frac {4}{n!}
\int_0^\infty \cdots \int_0^\infty \frac { 1 } { \big
(\sum_{ j = 1 }^n (u_j + 1 / u_j) \big)^2 } \frac { d
u_1 } { u_1 } \cdots \frac { d u_n } { u_n }$.\par
We had conjectured --- on the basis of
extreme-precision numerical quadrature --- that $ C_n $
has a finite large-$n$ limit, namely $ C_\infty = 2
e^{-2} $, with $ \gamma $ being the Euler constant. On
such a numerological clue we are able to prove the
conjecture. We then show that integrals $ D_n $ and $
E_n $ both decay exponentially with $n$, in a certain
rigorous sense. While $ C_n $, $ D_n $ remain
unresolved for $ n \geq 5 $, we were able to conjecture
a closed form for $ E_5 $. Our experimental results
involved extreme-precision, multidimensional quadrature
on intricate integrands; thus, a highly parallel
computation was required.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/1751-8121",
onlinedate = "19 September 2006",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "See improvements in \cite{Dolgov:2020:PCI}.",
}
@Article{Bailey:2006:TPE,
author = "David H. Bailey and Jonathan M. Borwein and Vishaal
Kapoor and Eric W. Weisstein",
title = "Ten problems in experimental mathematics",
journal = j-AMER-MATH-MONTHLY,
volume = "113",
number = "6",
pages = "481--509",
month = jun # "\slash " # jul,
year = "2006",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/27641975",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "65-02 (11Y60 37E05 37G10 65-05 68-02)",
MRnumber = "2231135",
MRreviewer = "Vasily A. Chernecky",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1237/;
https://www.jstor.org/stable/27641975",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 270.",
}
@InCollection{Borwein:2006:AWM,
author = "Jonathan M. Borwein",
editor = "N. Sinclair and W. Higginson",
booktitle = "Mathematics and the aesthetic",
title = "Aesthetics for the working mathematician",
volume = "25",
publisher = pub-SV,
address = pub-SV:adr,
pages = "21--40",
year = "2006",
MRclass = "00A05 (00A99 11A99 11Y99)",
MRnumber = "2274212",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CMS Books Math./Ouvrages Math. SMC",
URL = "http://docserver.carma.newcastle.edu.au/150/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 01:165.",
}
@Article{Borwein:2006:BDE,
author = "Jonathan Borwein and Vicente Montesinos and Jon
Vanderwerff",
title = "Boundedness, differentiability and extensions of
convex functions",
journal = j-J-CONVEX-ANAL,
volume = "13",
number = "3--4",
pages = "587--602",
year = "2006",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "46G05 (46N10 49J50 52A41)",
MRnumber = "2291553",
MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/288/;
http://www.heldermann.de/JCA/JCA13/JCA133/jca13046.htm",
abstract = "We survey various boundedness, differentiability and
extendibility properties of convex functions, and how
they are related to sequential convergence with respect
to various topologies in the dual space. It is also
shown that if $ X / Y $ is separable then every
continuous convex function on $Y$ can be extended to a
continuous convex function on $X$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2006:BDE",
}
@Book{Borwein:2006:CAN,
author = "Jonathan M. Borwein and Adrian S. Lewis",
title = "Convex analysis and nonlinear optimization",
volume = "3",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xii + 310",
year = "2006",
DOI = "https://doi.org/10.1007/978-0-387-31256-9",
ISBN = "0-387-29570-4",
ISBN-13 = "978-0-387-29570-1",
MRclass = "49-01 (46N10 47N10 49-02 49J53 90-01)",
MRnumber = "2184742",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Theory and examples.",
series = "CMS Books in Mathematics\slash Ouvrages de
Math{\'e}matiques de la SMC",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "Front Matter / i--xii \\
Background / 1--14 \\
Inequality Constraints / 15--32 \\
Fenchel Duality / 33--63 \\
Convex Analysis / 65--96 \\
Special Cases / 97--122 \\
Nonsmooth Optimization / 123--152 \\
Karush--Kuhn--Tucker Theory / 153--177 \\
Fixed Points / 179--211 \\
More Nonsmooth Structure / 213--238 \\
Postscript: Infinite Versus Finite Dimensions /
239--251 \\
List of Results and Notation / 253--273 \\
Back Matter / 275--310",
}
@Article{Borwein:2006:DLP,
author = "Jonathan M. Borwein and Mason S. Macklem",
title = "The (digital) life of {Pi}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "33",
number = "4",
pages = "243--248",
month = sep,
year = "2006",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
MRclass = "11Y60 (65B99)",
MRnumber = "2259732",
MRreviewer = "Khodabakhsh Hessami Pilehrood",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/267/;
http://www.austms.org.au/Publ/Gazette/2006/Sep06/pi.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Australian Mathematical Society. Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2006:EM,
author = "Jonathan M. Borwein and David H. Bailey and Roland
Girgensohn",
title = "Experiments in Mathematics",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "14 + vi + 294 + viii + 363",
year = "2006",
ISBN = "1-56881-283-3, 1-56881-211-6, 1-56881-136-5",
ISBN-13 = "978-1-56881-283-0, 978-1-56881-211-3,
978-1-56881-136-9",
LCCN = "QA76.95 .E9 2006",
bibdate = "Tue Aug 16 08:45:42 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Combined interactive CD version.",
abstract = "Contains the full text of: Mathematics by experiment:
plausible reasoning in the 21st century; and,
Experimentation in mathematics: computational paths to
discovery, in electronic, searchable form. Includes
hyperlinks for all cross references, Internet URLs, and
bibliographical references. Enhanced search function
helps with particular formulas or expressions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
tableofcontents = "Preface to the CD-ROM edition \\
Mathematics by experiment: plausible reasoning in the
21st century / Jonathan Borwein and David Bailey \\
Experimentation in mathematics: computational paths to
discovery / Jonathan Borwein, David Bailey, and Roland
Girgensohn",
}
@Article{Borwein:2006:FRO,
author = "Jonathan M. Borwein",
title = "Featured Review: {{\booktitle{Oxford Users' Guide to
Mathematics}}. Edited by Eberhard Zeidler. Oxford
University Press, Oxford, 2004. \$59.50. xxii + 1285
pp., softcover. ISBN 0-19-850763-1}",
journal = j-SIAM-REVIEW,
volume = "48",
number = "3",
pages = "585--594",
month = sep,
year = "2006",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/SIREAD000048000003000585000001",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Wed Aug 31 09:49:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://epubs.siam.org/doi/abs/10.1137/SIREAD000048000003000585000001;
https://www.jstor.org/stable/20453842",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2006:MMC,
author = "Jonathan M. Borwein",
title = "Maximal monotonicity via convex analysis",
journal = j-J-CONVEX-ANAL,
volume = "13",
number = "3--4",
pages = "561--586",
year = "2006",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "47H05 (47N10 49J53)",
MRnumber = "2291552",
MRreviewer = "Andrew C. Eberhard",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1235/;
http://www.heldermann.de/JCA/JCA13/JCA133/jca13045.htm",
abstract = "In his `23' ``Mathematische Probleme''(1) lecture to
the Paris International Congress in 1900, David Hilbert
wrote ``Besides it is an error to believe that rigor in
the proof is the enemy of simplicity.'' In this spirit,
we use simple convex analytic methods, relying on an
ingenious function due to Simon Fitzpatrick, to provide
a concise proof of the maximality of the sum of two
maximal monotone operators on reflexive Banach space
under standard transversality conditions. Many other
extension, surjectivity, convexity and local
boundedness results are likewise established.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2006:MMC",
}
@Unpublished{Borwein:2006:MS,
author = "Jonathan Borwein and Helaman Ferguson",
title = "The mathematics of salt",
month = dec,
year = "2006",
bibdate = "Tue Aug 16 10:05:43 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2006:MST,
author = "Jonathan M. Borwein",
title = "Maximality of sums of two maximal monotone operators",
journal = j-PROC-AM-MATH-SOC,
volume = "134",
number = "10",
pages = "2951--2955",
year = "2006",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-06-08323-7",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "47H05 (46A22 46N10 47N10 49J53)",
MRnumber = "2231619",
MRreviewer = "Teemu Pennanen",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1234/;
https://www.jstor.org/stable/4098152",
abstract = "We use methods from convex analysis, relying on an
ingenious function of Simon Fitzpatrick, to prove
maximality of the sum of two maximal monotone operators
on reflexive Banach space under weak transversality
conditions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2006:MST",
}
@Article{Borwein:2006:PES,
author = "David Borwein and Jonathan M. Borwein and David M.
Bradley",
title = "Parametric {Euler} sum identities",
journal = j-J-MATH-ANAL-APPL,
volume = "316",
number = "1",
pages = "328--338",
month = apr,
year = "2006",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2005.04.040",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11M41",
MRnumber = "2201764",
MRreviewer = "Junesang Choi",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2006JMAA..316..328B;
http://docserver.carma.newcastle.edu.au/1236/;
http://www.sciencedirect.com/science/article/pii/S0022247X05003811",
abstract = "We consider some parametrized classes of multiple sums
first studied by Euler. Identities between meromorphic
functions of one or more variables in many cases
account for reduction formulae for these sums.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "math/0505058",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Euler sums; Generating functions; Multiple zeta
values; Zeta functions",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:QCT,
author = "Jonathan Borwein and Peter (Liquin) Ye",
title = "Quadratic Convergence of the Tanh--Sinh Quadrature
Rule",
month = feb,
year = "2006",
bibdate = "Tue Aug 16 10:18:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
URL = "http://docserver.carma.newcastle.edu.au/342/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:2006:SCM,
author = "Jonathan M. Borwein and Chris H. Hamilton",
booktitle = "Proceedings of the 2006 International Symposium on
Symbolic and Algebraic Computation: {ISSAC 2006}",
title = "Symbolic Computation of Multidimensional {Fenchel}
Conjugates",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "23--30",
year = "2006",
DOI = "https://doi.org/10.1145/1145768.1145780",
ISBN = "1-59593-276-3",
ISBN-13 = "978-1-59593-276-1",
MRclass = "68W30 (65K10)",
MRnumber = "2289097",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "ISSAC '06",
URL = "http://doi.acm.org/10.1145/1145768.1145780",
acknowledgement = ack-nhfb,
acmid = "1145780",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Fenchel conjugate, Legendre--Fenchel transform,
computer proofs, inequalities, subdifferential,
subgradient",
location = "Genoa, Italy",
numpages = "8",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2006:SFM,
author = "Jonathan Borwein",
title = "{Simon Fitzpatrick} memorial volume",
journal = j-J-CONVEX-ANAL,
volume = "13",
number = "3--4",
pages = "463--476",
year = "2006",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "01A70",
MRnumber = "2291547",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Introduction to Fitzpatrick memorial volume.",
URL = "http://www.heldermann.de/JCA/JCA13/JCA133/jca13040.htm",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2006:TTG,
author = "Jonathan M. Borwein and David M. Bradley",
title = "Thirty-two {Goldbach} variations",
journal = j-INT-J-NUMBER-THEORY,
volume = "2",
number = "1",
pages = "65--103",
month = mar,
year = "2006",
DOI = "https://doi.org/10.1142/S1793042106000383",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
MRclass = "11M41 (11M06)",
MRnumber = "2217795",
MRreviewer = "F. Beukers",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "http://docserver.carma.newcastle.edu.au/301/;
https://www.worldscientific.com/doi/10.1142/S1793042106000383",
abstract = "We give thirty-two diverse proofs of a small
mathematical gem --- the fundamental Euler sum identity
$ \zeta (2, 1) = \zeta (3) = 8 \zeta (\bar {2}, 1) $.
We also discuss various generalizations for multiple
harmonic (Euler) sums and some of their many
connections, thereby illustrating both the wide variety
of techniques fruitfully used to study such sums and
the attraction of their study.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2006:TTG",
}
@Article{Borwein:2006:VMC,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Variational methods in convex analysis",
journal = j-J-GLOBAL-OPT,
volume = "35",
number = "2",
pages = "197--213",
year = "2006",
CODEN = "JGOPEO",
DOI = "https://doi.org/10.1007/s10898-005-3835-3",
ISSN = "0925-5001 (print), 1573-2916 (electronic)",
ISSN-L = "0925-5001",
MRclass = "49J53 (90C25)",
MRnumber = "2242012",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue in honour of Alex Rubinov's 65th
birthday.",
URL = "http://docserver.carma.newcastle.edu.au/259/",
abstract = "We use variational methods to provide a concise
development of a number of basic results in convex and
functional analysis. This illuminates the parallels
between convex analysis and smooth subdifferential
theory.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Global Optimization",
journal-URL = "http://link.springer.com/journal/10898",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 259.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2006:VMC",
}
@Article{Bailey:2007:BI,
author = "D. H. Bailey and J. M. Borwein and R. E. Crandall",
title = "Box integrals",
journal = j-J-COMPUT-APPL-MATH,
volume = "206",
number = "1",
pages = "196--208",
month = sep,
year = "2007",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2006.06.010",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (11Y60 33E20 60E05)",
MRnumber = "2337437",
MRreviewer = "Michael J. Evans",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2007JCoAM.206..196B;
http://docserver.carma.newcastle.edu.au/320/;
http://www.sciencedirect.com/science/article/pii/S0377042706004250",
abstract = "By a ``box integral'' we mean here an expectation $
\bra | r \to - q \to | s \ket $ where $ r \to $ runs
over the unit $n$-cube, with $ q \to $ and $s$ fixed,
explicitly: $ \int_0^1 \cdots \int_0^1 ((r 1 - q 1) 2 +
\cdots + (r n - q n) 2) s / 2 d r 1 \ldots d r n$. The
study of box integrals leads one naturally into several
disparate fields of analysis. While previous studies
have focused upon symbolic evaluation and asymptotic
analysis of special cases (notably $ s = 1$), we work
herein more generally --- in interdisciplinary fashion
--- developing results such as: (1) analytic
continuation (in complex $s$), (2) relevant
combinatorial identities, (3) rapidly converging
series, (4) statistical inferences, (5) connections to
mathematical physics, and (6) extreme-precision
quadrature techniques appropriate for these integrals.
These intuitions and results open up avenues of
experimental mathematics, with a view to new
conjectures and theorems on integrals of this type.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
keywords = "Box integrals; High-precision quadrature;
Multi-dimensional integrals",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Book{Bailey:2007:EMA,
author = "David H. Bailey and Jonathan M. Borwein and Neil J.
Calkin and Roland Girgensohn and D. Russell Luke and
Victor Moll",
title = "Experimental Mathematics in Action",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "xii + 322",
year = "2007",
ISBN = "1-56881-271-X",
ISBN-13 = "978-1-56881-271-7",
LCCN = "QA8.7 .E97 2007",
MRnumber = "2320374",
bibdate = "Thu Oct 25 18:45:59 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://docserver.carma.newcastle.edu.au/1733/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject = "Experimental mathematics",
tableofcontents = "Preface / xi \\
1 A Philosophical Introduction / 1 \\
1.1 Introduction / 1 \\
1.2 Mathematical Knowledge as We View It / 1 \\
1.3 Mathematical Reasoning / 2 \\
1.4 Philosophy of Experimental Mathematics / 3 \\
1.5 Our Experimental Mathodology / 11 \\
1.6 Finding Things versus Proving Things / 15 \\
1.7 Conclusions / 24 \\
2 Algorithms for Experimental Mathematics I / 29 \\
2.1 The Poetry of Computation / 29 \\
2.2 High-Precision Arithmetic / 30 \\
2.3 Integer Relation Detection / 31 \\
2.4 Illustrations and Examples / 33 \\
2.5 Definite Integrals and Infinite Series Summations /
43 \\
2.6 Computation of Multivariate Zeta Values / 44 \\
2.7 Ramanujan-Type Elliptic Series / 45 \\
3 Algorithms for Experimental Mathematics II / 53 \\
3.1 True Scientific Value / 53 \\
3.2 Prime Number Computations / 55 \\
3.3 Roots of Polynomials / 58 \\
3.4 Numerical Quadrature / 61 \\
3.5 Infinite Series Summation / 67 \\
3.6 Ap{\'e}ry-Like Summations / 70 \\
4 Exploration and Discovery in Inverse Scattering / 79
\\
4.1 Metaphysics and Mechanics / 79 \\
4.2 The Physical Experiment / 80 \\
4.3 The Model / 83 \\
4.4 The Mathematical Experiment: Qualitative Inverse
Scattering / 90 \\
4.5 Current Research / 107 \\
5 Exploring Strange Functions on the Computer / 113 \\
5.1 What Is ``Strange''? / 113 \\
5.2 Nowhere Differentiable Functions / 114 \\
5.3 Bernoulli Convolutions / 126 \\
6 Random Vectors and Factoring Integers: A Case Study /
139 \\
6.1 Learning from Experience / 139 \\
6.2 Integer Factorization / 140 \\
6.3 Random Models / 143 \\
6.4 The Main Questions / 144 \\
6.5 Bounds / 145 \\
6.6 Which Model Is Best? / 149 \\
6.7 Experimental Evidence / 155 \\
6.8 Conclusions / 158 \\
7 A Selection of Integrals from a Popular Table / 161
\\
7.1 The Allure of the Integral / 161 \\
7.2 The Project and Its Experimental Nature / 163 \\
7.3 Families and Individuals / 164 \\
7.4 An Experimental Derivation of Wallis' Formula / 167
\\
7.5 A Hyperbolic Example / 170 \\
7.6 A Formula Hidden in the List / 174 \\
7.7 Some Experiments on Valuations / 177 \\
7.8 An Error in the Latest Edition / 184 \\
7.9 Some Examples Involving the Hurwitz Zeta Function /
185 \\
8 Experimental Mathematics: A Computational Conclusion
/ 189 \\
8.1 Mathematicians Are a Kind of Frenchmen / 189 \\
8.2 Putting Lessons in Action / 190 \\
8.3 Visual Computing / 191 \\
8.4 A Preliminary Example: Visualizing DNA Strands /
194 \\
8.5 What Is a Chaos Game? / 195 \\
8.6 Hilbert's Inequality and Witten's Zeta Function /
202 \\
8.7 Computational Challenge Problems / 214 \\
8.8 Last Words / 222 \\
9 Exercises / 225 \\
Exercises for Chapter 1 / 225 \\
Exercises for Chapter 2 / 231 \\
Exercises for Chapter 3 / 249 \\
Exercises for Chapter 4 / 256 \\
Exercises for Chapter 5 / 260 \\
Exercises for Chapter 6 / 262 \\
Exercises for Chapter 7 / 265 \\
Exercises for Chapter 8 / 273 \\
Additional Exercises / 280 \\
Bibliography / 301 \\
Index / 317",
}
@Article{Bailey:2007:HFI,
author = "D. H. Bailey and D. Borwein and J. M. Borwein and R.
E. Crandall",
title = "Hypergeometric Forms for {Ising}-Class Integrals",
journal = j-EXP-MATH,
volume = "16",
number = "3",
pages = "257--276",
year = "2007",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2007.10129003",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "33E20 (33C05 33F05 33F10 65D30 82B20)",
MRnumber = "2367317",
MRreviewer = "Wadim Zudilin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/16/3",
URL = "http://docserver.carma.newcastle.edu.au/326/;
http://projecteuclid.org/euclid.em/1204928528",
abstract = "We apply experimental -mathematical principles to
analyze the integrals [complex multiple integral] These
are generalizations of a previous integral $ C_n :=
C_{n, 1} $ relevant to the Ising theory of solid-state
physics [Bailey et al. 06]. We find representations of
the $ C_{n, k} $ in terms of Meijer $G$-functions and
nested Barnes integrals. Our investigations began by
computing 500-digit numerical values Of $ C_{n, k}$ for
all integers $n$, $k$, where $n$ is an element of $ [2,
12]$ and $k$ is an element of $ [0, 25]$. We found that
some $ C_{n, k}$ enjoy exact evaluations involving
Dirichlet L-functions or the Riemann zeta function. In
the process of analyzing hypergeometric
representations, we found-experimentally and
strikingly-that the $ C_{n, k}$ almost certainly
satisfy certain interindicial relations including
discrete k-recurrences. Using generating functions,
differential theory, complex analysis, and
Wilf--Zeilberger algorithms we are able to prove some
central cases of these relations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Bailey:2007:HFI",
}
@Unpublished{Bailey:2007:HSI,
author = "D. Bailey and J. Borwein and R. Crandall and D.
Manna",
title = "{Heisenberg} spin integrals",
month = aug,
year = "2007",
bibdate = "Tue Aug 16 10:04:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2007:SPa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solution to Problem 11275",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
pages = "2",
day = "24",
month = feb,
year = "2007",
bibdate = "Fri Sep 30 08:29:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11275.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2007:SPb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solution to Monthly Problem 11277",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
pages = "3",
day = "23",
month = mar,
year = "2007",
bibdate = "Fri Sep 30 08:30:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11277.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bartz:2007:FFC,
author = "Sedi Bartz and Heinz H. Bauschke and Jonathan M.
Borwein and Simeon Reich and Xianfu Wang",
title = "{Fitzpatrick} functions, cyclic monotonicity and
{Rockafellar}'s antiderivative",
journal = j-NONLINEAR-ANAL,
volume = "66",
number = "5",
pages = "1198--1223",
year = "2007",
CODEN = "NOANDD",
DOI = "https://doi.org/10.1016/j.na.2006.01.013",
ISSN = "0362-546x (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
MRclass = "47H05 (47N10 49J53 90C25)",
MRnumber = "2286629",
MRreviewer = "Patrick L. Combettes",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1232/;
http://www.sciencedirect.com/science/article/pii/S0362546X06000435",
abstract = "Several deeper results on maximal monotone operators
have recently found simpler proofs using Fitzpatrick
functions. In this paper, we study a sequence of
Fitzpatrick functions associated with a monotone
operator. The first term of this sequence coincides
with the original Fitzpatrick function, and the other
terms turn out to be useful for the identification and
characterization of cyclic monotonicity properties. It
is shown that for any maximal cyclically monotone
operator, the pointwise supremum of the sequence of
Fitzpatrick functions is closely related to
Rockafellar's antiderivative. Several examples are
explicitly computed for the purpose of illustration. In
contrast to Rockafellar's result, a maximal
3-cyclically monotone operator need not be maximal
monotone. A simplified proof of Asplund's observation
that the rotation in the Euclidean plane by $ \pi / n $
is $n$-cyclically monotone but not $ (n + 1)$
-cyclically monotone is provided. The Fitzpatrick
family of the subdifferential operator of a sublinear
and of an indicator function is studied in detail. We
conclude with a new proof of Moreau's result concerning
the convexity of the set of proximal mappings.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Nonlinear Analysis. Theory, Methods \& Applications.
An International Multidisciplinary Journal. Series A:
Theory and Methods",
journal-URL = "https://www.sciencedirect.com/journal/nonlinear-analysis",
keywords = "Convex function; Cyclically monotone operator; Fenchel
conjugate; Fitzpatrick function; Maximal monotone
operator; Subdifferential operator; Sublinear
function",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2007:FFC,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang",
title = "{Fitzpatrick} functions and continuous linear monotone
operators",
journal = j-SIAM-J-OPT,
volume = "18",
number = "3",
pages = "789--809",
year = "2007",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/060655468",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "47H05 (47B65 90C25)",
MRnumber = "2345969",
MRreviewer = "P. P. Zabre{\u\i}ko",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/319/",
abstract = "The notion of a maximal monotone operator is crucial
in optimization as it captures both the subdifferential
operator of a convex, lower semicontinuous, and proper
function and any (not necessarily symmetric) continuous
linear positive operator. It was recently discovered
that most fundamental results on maximal monotone
operators allow simpler proofs utilizing Fitzpatrick
functions. In this paper, we study Fitzpatrick
functions of continuous linear monotone operators
defined on a Hilbert space. A novel characterization of
skew operators is presented. A result by Brezis and
Haraux is reproved using the Fitzpatrick function. We
investigate the Fitzpatrick function of the sum of two
operators, and we show that a known upper bound is
actually exact in finite-dimensional and more general
settings. Cyclic monotonicity properties are also
analyzed, and closed forms of the Fitzpatrick functions
of all orders are provided for all rotators in the
Euclidean plane.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Bauschke,
Heinz/D-5582-2009",
unique-id = "Bauschke:2007:FFC",
}
@Article{Borwein:2007:ADMa,
author = "Jonathan Borwein and Herre Wiersma",
title = "{Asplund} decomposition of monotone operators",
journal = j-SIAM-J-OPT,
volume = "18",
number = "3",
pages = "946--960",
year = "2007",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/060658357",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "47H05 (47N10 49J53 52A41)",
MRnumber = "2345978",
MRreviewer = "Hong Kun Xu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/321/",
abstract = "We establish representations of a monotone mapping as
the sum of a maximal subdifferential mapping and a
``remainder'' monotone mapping, where the remainder is
``acyclic'' in the sense that it contains no nontrivial
subdifferential component. This is the nonlinear
analogue of a skew linear operator. Examples of
indecomposable and acyclic operators are given. In
particular, we present an explicit nonlinear acyclic
operator.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2007:ADM",
}
@InCollection{Borwein:2007:ADMb,
author = "Jonathan M. Borwein",
editor = "Alain Pietrus and Michel H. Geoffroy",
booktitle = "{CSVAA} 2004---control set-valued analysis and
applications, ESAIM: Proceedings",
title = "{Asplund} decompositions of monotone operators",
volume = "17",
publisher = "EDP Sci.",
address = "Les Ulis, France",
pages = "19--25",
year = "2007",
DOI = "https://doi.org/10.1051/proc:071703",
MRclass = "47H05 (41A50 46B03 46B20 46G05 47N10 49J53)",
MRnumber = "2362689",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "ESAIM Proc.",
URL = "http://docserver.carma.newcastle.edu.au/299/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:2007:CCS,
author = "Jonathan M. Borwein and David Langstroth and Mason
Macklem and Scott Wilson and V. Jungi{\'c}",
booktitle = "{21st International Symposium on High Performance
Computing Systems and Applications. HPCS 2007,
Saskatoon, SK, Canada, 13--16 May 2007}",
title = "The Coast-to-Coast Seminar and Remote Mathematical
Collaboration",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "23--29",
month = may,
year = "2007",
DOI = "https://doi.org/10.1109/HPCS.2007.30",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-isbn = "0-7695-2813-9",
keywords = "AccessGrid; Australia; Canadian universities;
coast-to-coast seminar; Collaboration; Collaborative
work; computer aided instruction; Computer displays;
Computer networks; Dalhousie University; Distributed
computing; grid computing; groupware; Mathematics;
mathematics computing; Production; remote mathematical
collaboration; seminar series; Seminars; Simon Fraser
University; Virtual environment",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:CDS,
author = "Jonathan M. Borwein",
title = "A class of {Dirichlet} series integrals",
journal = j-AMER-MATH-MONTHLY,
volume = "114",
number = "1",
pages = "70--76",
month = jan,
year = "2007",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40A10 (26A42)",
MRnumber = "2283644",
MRreviewer = "Ilaria Mantellini",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/262/;
https://www.jstor.org/stable/27642121",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 262.",
}
@InCollection{Borwein:2007:CNS,
author = "Jonathan M. Borwein and Warren B. Moors",
editor = "Elliott Pearl",
booktitle = "Open Problems in Topology {II}",
title = "Chapter 50: {Non-smooth} analysis, optimisation theory
and {Banach} space theory",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "549--559",
year = "2007",
DOI = "https://doi.org/10.1016/B978-044452208-5/50050-8",
ISBN = "0-444-52208-5",
ISBN-13 = "978-0-444-52208-5",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/B9780444522085500508",
abstract = "This chapter discusses about nonsmooth analysis,
optimization theory, and Banach space theory. A Banach
space X is called a weak Asplund space [G{\^a}teaux
differentiability space] if each continuous convex
function defined on it is G{\^a}teaux differentiable at
the points of a residual subset (that is, a subset that
contains the intersection of countably many dense open
subsets of X) [dense subset] of its domain. For a
Banach space (X, || \cdot || ), with closed unit ball
BX, the Bishop--Phelps set is the set of all linear
functionals in the dual X* that attain their maximum
value over BX; that is, the set {x* \subset X*: x*(x) =
|| x*|| for some x \subset BX}. The Bishop--Phelps
Theorem says that the Bishop--Phelps set is always
dense in X*. A Banach space X has the attainable
approximation property (AAP) if the set of support
functionals for any closed bounded convex subset W
\subseteq X is norm dense in X*. The concepts related
to the Bishop--Phelps problem and the complex
Bishop--Phelps property are also discussed. Concepts of
biorthogonal sequences and support points are also
elaborated.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:DCR,
author = "D. Borwein and J. Borwein and R. Crandall and R.
Mayer",
title = "On the dynamics of certain recurrence relations",
journal = j-RAMANUJAN-J,
volume = "13",
number = "1--3",
pages = "63--101",
year = "2007",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-006-0243-3",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11B37 (11A55 11Y16 37C99 37E99 39A10 65Q05)",
MRnumber = "2281157",
MRreviewer = "James G. Mc Laughlin",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/253/;
http://link.springer.com/article/10.1007/s11139-006-0243-3",
abstract = "In recent analyses [ 3, 4] the remarkable AGM
continued fraction of Ramanujan - denoted R-1(a, b) -
was proven to converge for almost all complex parameter
pairs (a, b). It was conjectured that R-1 diverges if
and only if (0 not equal a = be(i phi) with cos(2) phi
not equal 1) or (a(2) = b(2) is an element of
(-infinity, 0)). In the present treatment we resolve
this conjecture to the positive, thus establishing the
precise convergence domain for R-1. This is
accomplished by analyzing, using various special
functions, the dynamics of sequences such as (t(n))
satisfying a recurrence t(n) = (t(n-1)(n-1)
\kappa(n-1)t(n-2))/n. where \kappa(n):= a(2), b(2) as n
be even, odd respectively. As a byproduct, we are able
to give, in some cases, exact expressions for the n-th
convergent to the fraction R-1, thus establishing some
precise convergence rates. It is of interest that this
final resolution of convergence depends on rather
intricate theorems for complex-matrix products, which
theorems evidently being extensible to more general
continued fractions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 253.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2007:DCR",
}
@TechReport{Borwein:2007:ELAa,
author = "David Borwein and Jonathan Borwein and Richard
Crandall",
title = "Effective {Laguerre} asymptotics",
type = "Report",
institution = "Department of Computer Science, Dalhousie University",
address = "Halifax, NS, Canada B3H 4R2",
year = "2007",
bibdate = "Thu Aug 11 08:24:07 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
URL = "http://docserver.carma.newcastle.edu.au/334/;
http://locutus.cs.dal.ca:8088/archive/00000334/;
http://web.archive.org/web/20070208032521/h",
abstract = "It is known that the generalized Laguerre polynomials
can enjoy sub-exponential growth for large primary
index. Specifically, for certain fixed parameter pairs
$ (a, z) $ one has the large-$n$ asymptotic $$ L_n^{( -
a)}( - z) \sim C(a, z) n^{-a / 2 - 1 / 4} e^{2 \sqrt
{nz}}. $$ We introduce a computationally motivated
contour integral that allows highly efficient numerical
evaluation of $ L_n$, yet also leads to general
asymptotic series over the full domain for
sub-exponential behavior. We eventually lay out a fast
algorithm for generation of the rather formidable
expansion coefficients. Along the way we address the
difficult problem of establishing effective (i.e.,
rigorous and explicit) error bounds on the general
expansion. To this end, we avoid classical
stationary-phase and steepest-descent techniques in
favor of an ``exp-arc'' method that amounts to a
natural bridge between converging series and effective
asymptotics. Finally, we exhibit an absolutely
convergent exp-arc series for Bessel-function
evaluation as an alternative to conventional
ascending-asymptotic switching.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:IPA,
author = "Jonathan M. Borwein and Marc Chamberland",
title = "Integer powers of arcsin",
journal = j-INT-J-MATH-MATH-SCI,
pages = "Art. ID 19381, 10",
month = jun,
year = "2007",
DOI = "https://doi.org/10.1155/2007/19381",
ISSN = "0161-1712 (print), 1687-0425 (electronic)",
ISSN-L = "0161-1712",
MRclass = "33B10 (11B65 33B30)",
MRnumber = "2320777",
MRreviewer = "Stefan Gerhold",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/287/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "International Journal of Mathematics and Mathematical
Sciences",
journal-URL = "https://www.hindawi.com/journals/ijmms/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:MST,
author = "Jonathan M. Borwein",
title = "Maximality of sums of two maximal monotone operators
in general {Banach} space",
journal = j-PROC-AM-MATH-SOC,
volume = "135",
number = "12",
pages = "3917--3924",
month = dec,
year = "2007",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-07-08960-5",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "47H05 (46N10 52A41)",
MRnumber = "2341941",
MRreviewer = "S{\'a}ndor Z. N{\'e}meth",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/322/;
https://www.jstor.org/stable/20535029",
abstract = "We combine methods from convex analysis, based on a
function of Simon Fitzpatrick, with a fine recent idea
due to Voisei, to prove maximality of the sum of two
maximal monotone operators in Banach space under
various natural domain and transversality conditions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2007:MST",
}
@InCollection{Borwein:2007:NAA,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Nonsmooth Analysis, Approximation Theory and {Banach}
Space Theory",
crossref = "Pearl:2007:OPT",
pages = "557--566",
year = "2007",
bibdate = "Sat Aug 13 17:04:44 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:PCS,
author = "Jonathan M. Borwein",
title = "Proximality and {Chebyshev} sets",
journal = j-OPTIM-LETT,
volume = "1",
number = "1",
pages = "21--32",
year = "2007",
DOI = "https://doi.org/10.1007/s11590-006-0014-5",
ISSN = "1862-4472 (print), 1862-4480 (electronic)",
ISSN-L = "1862-4472",
MRclass = "41A50 (46A55 46N10 47J20 49J53)",
MRnumber = "2357605",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/323/",
abstract = "This paper is a companion to a lecture given at the
Prague Spring School in Analysis in April 2006. It
highlights four distinct variational methods of proving
that a finite dimensional Chebyshev set is convex and
hopes to inspire renewed work on the open question of
whether every Chebyshev set in Hilbert space is
convex.",
acknowledgement = ack-nhfb,
ajournal = "Optim. Lett.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization Letters",
journal-URL = "http://link.springer.com/journal/11590",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2007:PCS",
}
@Article{Borwein:2007:PRB,
author = "J. M. Borwein and B. Salvy",
title = "A Proof of a Recursion for {Bessel} Moments",
journal = "ArXiv e-prints",
month = jun,
year = "2007",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2007arXiv0706.1409B;
http://docserver.carma.newcastle.edu.au/346/",
abstract = "We provide a proof of a conjecture in (Bailey,
Borwein, Borwein, Crandall 2007) on the existence and
form of linear recursions for moments of powers of the
Bessel function $ K_0 $.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "0706.1409",
keywords = "Computer Science - Symbolic Computation, Mathematics -
Classical Analysis and ODEs",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Salvy,
Bruno/0000-0002-4313-0679",
primaryclass = "cs.SC",
}
@Unpublished{Borwein:2007:REM,
author = "J. M. Borwein and Mason Macklem",
title = "Retro-enhancement of Mathematical Literature",
month = mar,
year = "2007",
bibdate = "Tue Aug 16 10:05:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
URL = "http://docserver.carma.newcastle.edu.au/339/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2007:VPE,
author = "David Borwein and Jonathan Borwein",
title = "{van der Pol} Expansions of {$L$}-Series",
journal = j-CAN-MATH-BULL,
volume = "50",
number = "1",
pages = "11--23",
month = mar,
year = "2007",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2007-002-0",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "11M35 (11M41)",
MRnumber = "2296621",
MRreviewer = "Saulius Zamarys",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v50/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
URL = "http://docserver.carma.newcastle.edu.au/283/",
abstract = "We provide concise series representations for various
L-series integrals. Different techniques are needed
below and above the abscissa of absolute convergence of
the underlying L-series.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2007:VPE",
}
@InCollection{Bailey:2008:CAD,
author = "David H. Bailey and Jonathan M. Borwein",
booktitle = "Tapas in experimental mathematics",
title = "Computer-assisted discovery and proof",
volume = "457",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "21--52",
year = "2008",
DOI = "https://doi.org/10.1090/conm/457/08901",
MRclass = "11Y99 (68T15 68U35 68W30)",
MRnumber = "2427663",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemp. Math.",
URL = "http://docserver.carma.newcastle.edu.au/338/;
http://www.ams.org/books/conm/457/8901",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InProceedings{Bailey:2008:EEB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Effective Error Bounds for {Euler--Maclaurin}-Based
Quadrature Schemes",
crossref = "IEEE:2008:HIS",
pages = "1--7",
year = "2008",
DOI = "https://doi.org/10.1109/HPCS.2006.22",
ISBN = "0-7695-2582-2",
ISBN-13 = "978-0-7695-2582-2",
ISSN = "1550-5243 (print), 2378-2099 (electronic)",
ISSN-L = "1550-5243",
bibdate = "Sat Aug 13 17:20:17 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We analyze the behavior of Euler--Maclaurin-based
integration schemes with the intention of deriving
accurate and economic estimations of the error. These
schemes typically provide very high-precision results
(hundreds or thousands of digits), in reasonable run
time, even in cases where the integrand function has a
blow-up singularity or infinite derivative at an
endpoint. Heretofore, researchers using these schemes
have relied mostly on ad hoc error estimation schemes
to project the estimated error of the present
iteration. In this paper, we seek to develop some more
rigorous, yet highly usable schemes to estimate these
errors.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
pagecount = "7",
}
@Article{Bailey:2008:EIE,
author = "David H. Bailey and Jonathan M. Borwein and David
Broadhurst and M. L. Glasser",
title = "Elliptic integral evaluations of {Bessel} moments and
applications",
journal = j-J-PHYS-A-MATH-THEOR,
volume = "41",
number = "20",
pages = "205203",
month = may,
year = "2008",
CODEN = "JPAMB5",
DOI = "https://doi.org/10.1088/1751-8113/41/20/205203",
ISSN = "1751-8113 (print), 1751-8121 (electronic)",
ISSN-L = "1751-8113",
MRclass = "33C10 (33E05 33F05)",
MRnumber = "2450513",
MRreviewer = "Subuhi Khan",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2008JPhA...41t5203B;
http://arxiv.org/abs/0801.0891;
http://iopscience.iop.org/article/10.1088/1751-8113/41/20/205203;
http://stacks.iop.org/1751-8121/41/i=20/a=205203",
abstract = "We record and substantially extend what is known about
the closed forms for various Bessel function moments
arising in quantum field theory, condensed matter
theory and other parts of mathematical physics. In
particular, we develop formulae for integrals of
products of six or fewer Bessel functions. In
consequence, we are able to discover and prove closed
forms for $ c_{n, k} \coloneq {\int }^\infty_0 t^k
K^n_0 (t) d t $ with integers $ n = 1, 2, 3, 4 $ and $
k \geq 0 $, obtaining new results for the even moments
$ c_{3, 2k} $ and $ c_{4, 2k} $. We also derive new
closed forms for the odd moments $ s_{n, 2k + 1}
\coloneq \int^\infty_0 t^{2k + 1} I_0 (t) K^{n - 1}_0
(t) \, d t $ with $ n = 3, 4 $ and for $ t_{n, 2k + 1}
\coloneq \int^\infty_0 t^{2k + 1} I^2_0 (t) K^{n - 2}_0
(t) \, d t $ with $ n = 5 $, relating the latter to
Green functions on hexagonal, diamond and cubic
lattices. We conjecture the values of $ s_{5, 2k + 1}
$, make substantial progress on the evaluation of $
c_{5, 2k + 1} $, $ s_{6, 2k + 1} $ and $ t_{6, 2k + 1}
$ and report more limited progress regarding $ c_{5,
2k} $, $ c_{6, 2k + 1} $ and $ c_{6, 2k} $. In the
process, we obtain eight conjectural evaluations, each
of which has been checked to 1200 decimal places. One
of these lies deep in four-dimensional quantum field
theory and two are probably provable by delicate
combinatorics. There remains a hard core of five
conjectures whose proofs would be most instructive, to
mathematicians and physicists alike.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eid = "205203",
eprint = "0801.0891",
fjournal = "Journal of Physics. A. Mathematical and Theoretical",
journal-URL = "http://iopscience.iop.org/1751-8121",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
pagecount = "46",
primaryclass = "hep-th",
}
@InProceedings{Bailey:2008:HPC,
author = "D. H. Bailey and J. M. Borwein",
booktitle = "Proceedings of {XII} Advanced Computing and Analysis
Techniques in Physics Research",
title = "High-Precision Computation and Mathematical Physics",
publisher = "????",
address = "????",
pages = "14",
year = "2008",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2008acat.confE..14B;
http://docserver.carma.newcastle.edu.au/386/",
abstract = "At the present time, IEEE 64-bit floating-point
arithmetic is sufficiently accurate for most scientific
applications. However, for a rapidly growing body of
important scientific computing applications, a higher
level of numeric precision is required. Such
calculations are facilitated by high-precision software
packages that include high-level language translation
modules to minimize the conversion effort. This paper
presents a survey of recent applications of these tech
niques and provides some analysis of their numerical
requirements. These applications include supernova
simulations, climate modeling, planetary orbit
calculations, Coulomb $n$-body atomic systems,
scattering amplitudes of quarks, gluons and bosons,
nonlinear oscillator theory, Ising theory, quantum
field theory and experimental mathematics. We conclude
that high-precision arithmetic facilities are now an
indispensable component of a modern large-scale
scientific computing environment.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2008:HPH,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Highly Parallel, High-Precision Numerical
Integration",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
pages = "18",
day = "1",
month = apr,
year = "2008",
bibdate = "Fri Sep 30 08:30:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/quadparallel.pdf",
abstract = "This paper describes schemes for rapidly computing
numerical values of definite integrals to very high
accuracy (hundreds to thousands of digits) on highly
parallel computer systems. Such schemes are of interest
not only in computational physics and computational
chemistry, but also in experimental mathematics, where
high-precision numerical values of definite integrals
can be used to numerically discover new identities.
This paper presents performance results for 1-D and 2-D
integral test suites on highly parallel computer
systems. Results are also given for certain problems
that derive from mathematical physics. One of these
results confirms a conjecture to 20,000 digit accuracy.
The performance rate for this calculation is 690
Gflop/s on 1024 CPUs of a state-of-the-art parallel
system. Other results, which range in precision from
120 to 500 digits, and for 1-D, 2-D, 3-D and 4-D
integrals, derive from Ising theory. The largest of
these calculations required 28 hours on 256 CPUs. We
believe that these are the first instances of
evaluations of nontrivial 3-D and 4-D integrals to
multi-hundred-digit accuracy.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2008:HPN,
author = "D. H. Bailey and J. M. Borwein",
booktitle = "MICA conference May 2008",
title = "High-Precision Numerical Integration: Progress and
Challenges",
publisher = "????",
address = "????",
pages = "1--19",
year = "2008",
bibdate = "Sat Aug 13 16:39:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1444/",
abstract = "One of the most fruitful advances in the field of
experimental mathematics has been the development of
practical methods for very high-precision numerical
integration, a quest initiated by Keith Geddes and
other researchers in the 1980s and 1990s. These
techniques, when coupled with equally powerful integer
relation detection methods, have resulted in the
analytic evaluation of many integrals that previously
were beyond the realm of symbolic techniques. This
paper presents a survey of the current state-of-the-art
in this area (including results by the present authors
and others), mentions some new results, and then
sketches what challenges lie ahead.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2008:PSP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Proposed {SIAM} Problem",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
pages = "1--2",
day = "12",
month = aug,
year = "2008",
bibdate = "Fri Sep 30 08:36:07 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/siam-bessel.pdf",
abstract = "[From the introduction:] A recent paper by the present
authors, together with mathematical physicists David
Broadhurst and M. Larry Glasser, explored Bessel moment
integrals, namely definite integrals of the general
form $ \int_0^\infty t^m f^n(t) \, d t $, where the
function $ f(t) $ is one of the classical Bessel
functions [2]. In that paper, numerous previously
unknown analytic evaluations were obtained, using a
combination of analytic methods together with some
fairly high-powered numerical computations, often
performed on highly parallel computers.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Bessel moment integrals",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Baillie:2008:SSS,
author = "Robert Baillie and David Borwein and Jonathan M.
Borwein",
title = "Surprising sinc sums and integrals",
journal = j-AMER-MATH-MONTHLY,
volume = "115",
number = "10",
pages = "888--901",
month = dec,
year = "2008",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33B10 (26D05 40A25 42A05)",
MRnumber = "2468551",
MRreviewer = "Valery V. Karachik",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/332/;
https://www.jstor.org/stable/27642636",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:BST,
author = "J. M. Borwein and A. C. Eberhard",
title = "{Banach} spaces of type ({NI}) and monotone operators
on non-reflexive spaces",
month = jun,
year = "2008",
bibdate = "Tue Aug 16 10:02:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Eberhard,
Andrew/0000-0003-2977-3456",
}
@InCollection{Borwein:2008:CCC,
author = "J. Borwein and V. Jungi{\'c} and D. Langstroth and M.
Macklem and S. Wilson",
title = "Coast-to-Coast ({C2C}) Seminar: Background, History,
and Practice",
crossref = "Borwein:2008:CMD",
chapter = "9",
pages = "127--140",
year = "2008",
DOI = "https://doi.org/10.1201/b10587-12",
bibdate = "Sat Aug 13 16:51:32 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.crcnetbase.com/doi/pdfplus/10.1201/b10587-12",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2008:DRT,
author = "Jonathan M. Borwein and D. Russell Luke",
title = "Dynamics of a {Ramanujan}-type continued fraction with
cyclic coefficients",
journal = j-RAMANUJAN-J,
volume = "16",
number = "3",
pages = "285--304",
year = "2008",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-007-9096-7",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "40A15 (11J70)",
MRnumber = "2429902",
MRreviewer = "Haakon S. Waadeland",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1480/",
abstract = "We study several generalizations of the AGM continued
fraction of Ramanujan inspired by a series of recent
articles in which the validity of the AGM relation and
the domain of convergence of the continued fraction
were determined for certain complex parameters (Borwein
et al., Exp. Math. 13, 275-286, 2004, Ramanujan J., in
press, 2004; Borwein and Crandall, Exp. Math. 12,
287-296, 2004). A study of the AGM continued fraction
is equivalent to an analysis of the convergence of
certain difference equations and the stability of
dynamical systems. Using the matrix analytical tools
developed in 2004, we determine the convergence
properties of deterministic difference equations and so
divergence of their corresponding continued
fractions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 261.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2008:DRT",
}
@Article{Borwein:2008:EBF,
author = "David Borwein and Jonathan M. Borwein and O-Yeat
Chan",
title = "The evaluation of {Bessel} functions via exp--arc
integrals",
journal = j-J-MATH-ANAL-APPL,
volume = "341",
number = "1",
pages = "478--500",
month = may,
year = "2008",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2007.10.003",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "33C10 (33F05 65D20)",
MRnumber = "2394100",
MRreviewer = "Richard B. Paris",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://adsabs.harvard.edu/abs/2008JMAA..341..478B;
http://docserver.carma.newcastle.edu.au/1231/;
http://www.sciencedirect.com/science/article/pii/S0022247X07012346",
abstract = "A standard method for computing values of Bessel
functions has been to use the well-known ascending
series for small argument, and to use an asymptotic
series for large argument; with the choice of the
series changing at some appropriate argument magnitude,
depending on the number of digits required. In a recent
paper, D. Borwein, J. Borwein, and R. Crandall [D.
Borwein, J. M. Borwein, R. Crandall, Effective Laguerre
asymptotics, preprint at
http://locutus.cs.dal.ca:8088/archive/00000334/]
derived a series for an ``exp-arc'' integral which gave
rise to an absolutely convergent series for the J and I
Bessel functions with integral order. Such series can
be rapidly evaluated via recursion and elementary
operations, and provide a viable alternative to the
conventional ascending-asymptotic switching. In the
present work, we extend the method to deal with Bessel
functions of general (non-integral) order, as well as
to deal with the Y and K Bessel functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Bessel function; Exponential-hyperbolic expansions;
Uniform series expansion",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2008:ECE,
author = "J. M. Borwein and I. J. Zucker and J. Boersma",
title = "The evaluation of character {Euler} double sums",
journal = j-RAMANUJAN-J,
volume = "15",
number = "3",
pages = "377--405",
year = "2008",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-007-9083-z",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11M41 (11M06)",
MRnumber = "2390277",
MRreviewer = "Stamatis Koumandos",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/255/;
http://link.springer.com/article/10.1007/s11139-007-9083-z",
abstract = "Euler considered sums of the form [GRAPHICS] Here
natural generalizations of these sums namely [complex
equation] are investigated, where chi(p) and chi(q) are
characters, and s and t are positive integers. The
cases when p and q are either 1, 2a, 2b or -4 are
examined in detail, and closed-form expressions are
found for t = 1 and general s in terms of the Riemann
zeta function and the Catalan zeta function-the
Dirichlet series L(-4)(s) = 1(-s) - 3(-s) + 5(-s) -
7(-s) + center dot center dot center dot. Some results
for arbitrary p and q are obtained as well.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 260.",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2008:ECE",
}
@Article{Borwein:2008:ELA,
author = "David Borwein and Jonathan M. Borwein and Richard E.
Crandall",
title = "Effective {Laguerre} asymptotics",
journal = j-SIAM-J-NUMER-ANAL,
volume = "46",
number = "6",
pages = "3285--3312",
year = "2008",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/07068031X",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "33C65 (30E20 34E05)",
MRnumber = "2448665",
MRreviewer = "Yu-Qiu Zhao",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://docserver.carma.newcastle.edu.au/334/",
abstract = "It is known that the generalized Laguerre polynomials
can enjoy subexponential growth for large primary
index. In particular, for certain fixed parameter pairs
(a, z) one has the large-n asymptotic behavior
L-n((-a)) (-z) similar to C(a, z)(n)(-a)/2-1/ (4)e(2)
root nz. We introduce a computationally motivated
contour integral that allows efficient numerical
Laguerre evaluations yet also leads to the complete
asymptotic series over the full parameter domain of
subexponential behavior. We present a fast algorithm
for symbolic generation of the rather formidable
expansion coefficients. Along the way we address the
difficult problem of establishing effective (i. e.,
rigorous and explicit) error bounds on the general
expansion. A primary tool for these developments is an
``exp-arc'' method giving a natural bridge between
converging series and effective asymptotics.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2008:ELA",
}
@Article{Borwein:2008:HIW,
author = "Jonathan M. Borwein",
title = "{Hilbert}'s Inequality and {Witten}'s Zeta-Function",
journal = j-AMER-MATH-MONTHLY,
volume = "115",
number = "2",
pages = "125--137",
month = feb,
year = "2008",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:30 MST 2012",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/i27642413;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib",
URL = "https://www.jstor.org/stable/27642418",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2008:IEM,
author = "Jonathan Borwein",
title = "Implications of experimental mathematics for the
philosophy of mathematics",
crossref = "Gold:2008:POD",
chapter = "2",
pages = "33--59",
year = "2008",
MRclass = "00A30 (03A05)",
MRnumber = "2452073",
bibdate = "Sat Aug 13 16:37:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "MAA Spectrum",
URL = "http://docserver.carma.newcastle.edu.au/280/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxpages = "33--59",
}
@Book{Borwein:2008:ME,
author = "Jonathan Borwein and David Bailey",
title = "Mathematics by Experiment",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
edition = "Second",
pages = "xii + 377",
year = "2008",
DOI = "https://doi.org/10.1201/b10704",
ISBN = "1-56881-442-9, 1-4398-6536-1 (PDF e-book)",
ISBN-13 = "978-1-56881-442-1, 978-1-4398-6536-1 (PDF e-book)",
LCCN = "QA76.95 .B67 2008",
MRclass = "00A35 (37-04)",
MRnumber = "2473161",
MRreviewer = "Michael Otte",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plausible reasoning in the 21st Century.",
URL = "http://docserver.carma.newcastle.edu.au/272/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
tableofcontents = "Front matter / i \\
1. What is experimental mathematics? / 1 \\
2. Experimental mathematics in action / 47 \\
3. Pi and its friends / 103 \\
4. Normality of numbers / 143 \\
5. The power of constructive proofs / 175 \\
6. Numerical techniques / 215 \\
7. Recent experiences / 243 \\
Bibliography / 349",
}
@Article{Borwein:2008:PRB,
author = "Jonathan M. Borwein and Bruno Salvy",
title = "A Proof of a Recurrence for {Bessel} Moments",
journal = j-EXP-MATH,
volume = "17",
number = "2",
pages = "223--230",
year = "2008",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2008.10129032",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "68W30 (33C10 33E30 33F10)",
MRnumber = "2433887",
MRreviewer = "Carsten Schneider",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/17/2",
URL = "http://docserver.carma.newcastle.edu.au/346/;
http://projecteuclid.org/euclid.em/1227118973",
abstract = "We provide a proof of a conjecture in [Bailey et al.
07a] on the existence and form of linear recurrences
for moments of powers of the Bessel function K-0.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Salvy,
Bruno/0000-0002-4313-0679",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2008:PRB",
}
@InProceedings{Borwein:2008:VPG,
author = "J. M. Borwein",
editor = "????",
booktitle = "Mathematics and Culture, La matematica: Problemi e
teoremi",
title = "La vita di pi greco. ({Italian}) [{The} life of
{Greek} pi]",
publisher = "Guilio Einaudi Editori",
address = "Turino, Italy",
pages = "??--??",
year = "2008",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://www.carma.newcastle.edu.au/~jb616/pi-2010.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
language = "Italian",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 265",
}
@InCollection{Borwein:2008:WEM,
author = "J. M. Borwein and D. H. Bailey",
editor = "Giovanni Treccani",
booktitle = "Enciclopedia della Scienza e della Tecnica",
title = "What is Experimental Mathematics",
publisher = "????",
address = "Roma, Italia",
pages = "??--??",
year = "2008",
bibdate = "Sat Aug 13 16:32:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of \cite[Chapter 1]{Borwein:2004:MEP}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
xxnote = "Check: is Treccani the editor or publisher?? I cannot
find this book in library catalogs or large
booksellers.",
}
@Article{Eberhard:2008:SOC,
author = "A. C. Eberhard and J. M. Borwein",
title = "Second Order Cones for Maximal Monotone Operators via
Representative Functions",
journal = j-SET-VALUED-ANAL,
volume = "16",
number = "2--3",
pages = "157--184",
year = "2008",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/s11228-008-0075-y",
ISSN = "0927-6947 (print), 1572-932X (electronic)",
ISSN-L = "0927-6947",
MRclass = "49J53 (46N10 47H04 47H05 47N10)",
MRnumber = "2399200",
MRreviewer = "Nicolas Hadjisavvas",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/348/;
http://link.springer.com/article/10.1007/s11228-008-0075-y",
abstract = "It is shown that various first and second order
derivatives of the Fitzpatrick and Penot representative
functions for a maximal monotone operator T, in a
reflexive Banach space, can be used to represent
differential information associated with the tangent
and normal cones to the Graph T. In particular we
obtain formula for the proto-derivative, as well as its
polar, the normal cone to the graph of T. First order
derivatives are shown to be useful in recognising
points of single-valuedness of T. We show that a strong
form of proto-differentiability to the graph of T, is
often associated with single-valuedness of T.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Eberhard, Andrew/0000-0003-2977-3456; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009; Eberhard,
Andrew/B-5576-2013",
unique-id = "Eberhard:2008:SOC",
}
@Article{Bailey:2009:EMCa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental mathematics and computational
statistics",
journal = "Wiley Interdisciplinary Reviews: Computational
Statistics",
volume = "1",
number = "1",
pages = "12--24",
month = jul # "--" # aug,
year = "2009",
CODEN = "????",
DOI = "https://doi.org/10.1002/wics.1",
ISSN = "1939-0068 (print), 1939-5108 (electronic)",
ISSN-L = "1939-0068",
bibdate = "Thu Aug 11 11:01:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1227/",
abstract = "The field of statistics has long been noted for
techniques to detect patterns and regularities in
numerical data. In this article, we explore connections
between statistics and the emerging field of
experimental mathematics. These include both
applications of experimental mathematics in statistics
as well as statistical methods applied to computational
mathematics.",
acknowledgement = ack-nhfb,
ajournal = "WIREs",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "WIREs Computational Statistics",
journal-URL = "https://onlinelibrary.wiley.com/journal/19390068",
keywords = "experimental mathematics, numerical integration,
numerical analysis, computational statistics",
onlinedate = "13 July 2009",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2009:EMCb,
author = "D. H. Bailey and J. M. Borwein",
booktitle = "Online Encyclopedia of Computational Statistics. {A}
{Wiley} Interdisciplinary Review",
title = "Experimental Mathematics and Computational
Statistics",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "??--??",
month = jul,
year = "2009",
DOI = "",
ISBN = "0-470-97388-9 (hardcover)",
ISBN-13 = "978-0-470-97388-2 (hardcover)",
LCCN = "GE45.S73 E56 2012",
bibdate = "Fri Aug 12 09:29:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Six volumes (lix + 3150 pages).",
URL = "http://ca.wiley.com/WileyCDA/Section/id-390445.html;
http://docserver.carma.newcastle.edu.au/1227/;
http://www.wiley.com/WileyCDA/WileyTitle/productCd-0470973889.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Probably identical to \cite{Bailey:2009:EMCa}. Appears
to be first edition, but not available at publisher
site.",
xxISBN = "0-470-97388-9 (second edition) (2012?)",
xxisbn-13 = "978-0-470-97388-2 (second edition) (2012?)",
}
@Article{Bailey:2009:HPH,
author = "David Bailey and Jonathan Borwein",
title = "Highly parallel, high precision integration",
journal = "International Journal of Computational Science and
Engineering",
volume = "4",
number = "??",
pages = "??--??",
month = "????",
year = "2009",
ISSN = "1742-7185 (print), 1742-7193 (electronic)",
ISSN-L = "1742-7185",
bibdate = "Fri Aug 12 09:16:29 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/294/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://www.inderscience.com/jhome.php?jcode=ijcse",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "I cannot find this article at the publisher site,
which lacks metadata by volume, and fails to find
author or title values. Not in tables of contents of
volume 4, numbers 1, 2, 3, and 4.",
}
@Article{Bailey:2009:PAD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{PSLQ}: an Algorithm to Discover to Integer
Relations",
journal = "Computeralgebra Rundbrief",
volume = "45",
number = "??",
pages = "8--11",
month = oct,
year = "2009",
ISSN = "0933-5994",
ISSN-L = "0933-5994",
bibdate = "Sat Aug 13 16:11:51 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.fachgruppe-computeralgebra.de/cms/tiki-index.php?page=Rundbrief",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://www.fachgruppe-computeralgebra.de/rundbrief/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2009:RQR,
author = "D. H. Bailey and J. M. Borwein and R. E. Crandall",
title = "Resolution of the {Quinn--Rand--Strogatz} Constant of
Nonlinear Physics",
journal = j-EXP-MATH,
volume = "18",
number = "1",
pages = "107--116",
year = "2009",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2009.10128885",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60 (11M35 11Z05)",
MRnumber = "2548991",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/18/1",
URL = "http://docserver.carma.newcastle.edu.au/345/;
http://projecteuclid.org/euclid.em/1243430534",
abstract = "Herein we develop connections between zeta functions
and some recent ``mysterious'' constants of nonlinear
physics. In an important analysis of coupled Winfree
oscillators, Quinn, Rand, and Strogatz [Quinn et al.
07] developed a certain N-oscillator scenario whose
bifurcation phase offset small phi is implicitly
defined, with a conjectured asymptotic behavior sin phi
similar to 1 - c(1)/N, with experimental estimate c(1)
= 0.605443657.... We are able to derive the exact
theoretical value of this ``QRS constant'' c(1) as a
real zero of a particular Hurwitz zeta function. This
discovery enables, for example, the rapid resolution of
cl to extreme precision. Results and conjectures are
provided in regard to higher-order terms of the sin phi
asymptotic, and to yet more physics constants emerging
from the original QRS work.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Bailey:2009:RQR",
}
@TechReport{Bailey:2009:SMPa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solution to {{\booktitle{Monthly}}} Problem \#11418",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University and School of
Mathematical and Physical Sciences, University of
Newcastle",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada and Callaghan, NSW 2308, Australia",
day = "6",
month = jul,
year = "2009",
bibdate = "Fri Sep 30 08:40:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11418.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "The report evaluates the integral $ J =
\int_\infty^\infty \frac {t^2 \sech^2(t)}{a - \tanh
(t)} \, d t $ for complex $ |a| > 1 $.",
}
@TechReport{Bailey:2009:SMPb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solutions to {{\booktitle{Monthly}}} Problems 11456
and 11457",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Faculty of
Computer Science, Dalhousie University",
address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
Canada",
pages = "2",
day = "10",
month = oct,
year = "2009",
bibdate = "Fri Sep 30 08:34:31 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11456.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2009:CCI,
author = "Jonathan M. Borwein and Keith J. Devlin",
title = "The computer as crucible: an introduction to
experimental mathematics",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "xi + 158",
year = "2009",
ISBN = "1-56881-343-0",
ISBN-13 = "978-1-56881-343-1",
LCCN = "QA8.7 .B67 2009",
MRclass = "00A35 (11-04 11Y16 11Y60)",
MRnumber = "2464847",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Nov 10 17:48:24 MST 2009",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://docserver.carma.newcastle.edu.au/1730/;
http://www.loc.gov/catdir/toc/fy0904/2008022180.html",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
libnote = "Not in my library.",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Experimental mathematics",
tableofcontents = "What is experimental mathematics? \\
What is the quadrillionth decimal place of $pi$? \\
What is that number? \\
The most important function in mathematics \\
Evaluate the following integral \\
Serendipity \\
Calculating [pi] \\
The computer knows more math than you do \\
Take it to the limit \\
Danger! Always exercise caution when using the computer
\\
Stuff we left out (until now)",
}
@InProceedings{Borwein:2009:DAD,
author = "J. M. Borwein",
title = "Digitally-assisted discovery and proof",
crossref = "Lin:2009:PPM",
pages = "I.3--I.11",
year = "2009",
bibdate = "Sat Aug 13 16:21:36 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary address.",
URL = "http://docserver.carma.newcastle.edu.au/390/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2009:DCF,
author = "Jonathan Borwein and Jon Vanderwerff",
title = "Differentiability of conjugate functions and perturbed
minimization principles",
journal = j-J-CONVEX-ANAL,
volume = "16",
number = "3--4",
pages = "707--711",
year = "2009",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49K40 (46G05 46N10 49J50 52A41 58E30 90C46)",
MRnumber = "2583890",
MRreviewer = "Philip D. Loewen",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/383/;
http://www.heldermann.de/JCA/JCA16/JCA163/jca16042.htm",
abstract = "We survey the tight connection between
differentiability of conjugate functions and perturbed
optimization principles",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2009:DCF",
xxpages = "699--706",
}
@Article{Borwein:2009:EBS,
author = "Jonathan M. Borwein and Neil J. Calkin and Dante
Manna",
title = "{Euler--Boole} summation revisited",
journal = j-AMER-MATH-MONTHLY,
volume = "116",
number = "5",
pages = "387--412",
year = "2009",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/193009709X470290",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B68 (11B73 26A06)",
MRnumber = "2510837",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2009:MME,
author = "Jonathan M. Borwein",
title = "Maths Matters: Exploratory experimentation:
digitally-assisted discovery and proof",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "36",
number = "3",
pages = "166--175",
month = jul,
year = "2009",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
MRclass = "00A35 68W30 97U50 00A30",
MRnumber = "2543725",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
ZMnumber = "1175.00028",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Australian Mathematical Society. Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark-1 = "This material is largely excerpted from a longer paper
written for ICMI Study 19 `On Proof and Proving in
Mathematics Education', and a plenary talk given in May
2009 at the corresponding Workshop at National Taiwan
Normal University. [NHFB remarks: It appears that the
longer paper did not appear in ICMI [International
Commission on Mathematical Instruction] Study 19, which
is published in \booktitle{ZDM Mathematics Education}
{\bf 40}(2) May 2008,
\url{http://link.springer.com/journal/11858/40/2/page/1},
and in the Chinese\slash English proceedings with ISBN
986-01-8210-8.]",
remark-2 = "From page 166: ``The computer offers to provide
scaffolding both to enhance mathematical reasoning and
to restrain mathematical error.''",
remark-3 = "From page 174: ``We live in an information-rich,
judgement-poor world and the explosion of information
and tools is not going to diminish.''",
}
@InCollection{Borwein:2009:NCM,
author = "Jonathan Borwein and Rafal Goebel",
booktitle = "Optimization",
title = "On the nondifferentiability of cone-monotone functions
in {Banach} spaces",
volume = "32",
publisher = pub-SV,
address = pub-SV:adr,
pages = "3--14",
year = "2009",
DOI = "https://doi.org/10.1007/978-0-387-98096-6_1",
MRclass = "49J50 (47G10 47N10)",
MRnumber = "2599222",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Optim. Appl.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 02:179.",
}
@Article{Borwein:2009:PCM,
author = "Jonathan M. Borwein",
title = "{{\booktitle{The Princeton companion to mathematics}}.
Timothy Gowers, with June Barrow Green and Imre Leader.
Princeton University Press, Princeton, NJ, 2008.
\$99.00. xxii + 1034 pp., hardcover. ISBN 978-0-691-1
1880-2. [book review of \refcno 2467561]}",
journal = j-SIAM-REVIEW,
volume = "51",
number = "4",
pages = "790--794",
month = dec,
year = "2009",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/SIREAD000051000004000785000001",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "00A17",
MRnumber = "2573944",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://docserver.carma.newcastle.edu.au/1228/;
https://www.jstor.org/stable/25662346",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2009:SCC,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Stability of closedness of convex cones under linear
mappings",
journal = j-J-CONVEX-ANAL,
volume = "16",
number = "3--4",
pages = "699--705",
year = "2009",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "47N10 (90C25 90C31)",
MRnumber = "2583889",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1229/;
http://www.heldermann.de/JCA/JCA16/JCA163/jca16041.htm",
abstract = "In this paper we reconsider the question of when the
continuous linear image of a closed convex cone is
closed in Euclidean space. In particular, we show that
although it is not true that the closedness of the
image is preserved under small perturbations of the
linear mappings it is ``almost'' true that the
closedness of the image is preserved under small
perturbations, in the sense that, for ``almost all''
linear mappings from R(n) into R(m) if the image of the
cone is closed then there is a small neighbourhood
around it whose members also preserve the closedness of
the cone.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2009:SCC",
xxpages = "707--713",
}
@Article{Borwein:2009:SFC,
author = "Jonathan M. Borwein and Chris H. Hamilton",
title = "Symbolic {Fenchel} conjugation",
journal = j-MATH-PROG,
volume = "116",
number = "1--2",
pages = "17--35",
year = "2009",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/s10107-007-0134-4",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "90-04 (44A15 49J52 65K10 90C25 90C46)",
MRnumber = "2421271",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue in honor of Alfred Auslender.",
URL = "http://docserver.carma.newcastle.edu.au/1479/",
abstract = "Of key importance in convex analysis and optimization
is the notion of duality, and in particular that of
Fenchel duality. This work explores improvements to
existing algorithms for the symbolic calculation of
subdifferentials and Fenchel conjugates of convex
functions defined on the real line. More importantly,
these algorithms are extended to enable the symbolic
calculation of Fenchel conjugates on a class of
real-valued functions defined on the real line. More
importantly, these algorithms are extended to enable
the symbolic calculation of Fenchel conjugates on a
class of real-valued functions defined on R(n). These
algorithms are realized in the form of the Maple
package SCAT.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2009:SFC",
}
@Article{Borwein:2009:UBC,
author = "Jonathan M. Borwein and O-Yeat Chan",
title = "Uniform bounds for the complementary incomplete gamma
function",
journal = j-MATH-INEQUAL-APPL,
volume = "12",
number = "1",
pages = "115--121",
year = "2009",
DOI = "https://doi.org/10.7153/mia-12-10",
ISSN = "1331-4343 (print), 1848-9966 (electronic)",
ISSN-L = "1331-4343",
MRclass = "33B20",
MRnumber = "2489355",
MRreviewer = "Necdet Batir",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/335/",
abstract = "We prove upper and lower bounds for the complementary
incomplete gamma function Gamma(a, z) with complex
parameters a and z. Our bounds are refined within the
circular hyperboloid of one sheet \{(a, z) : vertical
bar z vertical bar > c vertical bar a - 1 vertical
bar\} with a real and z complex. Our results show that
within the hyperboloid, vertical bar Gamma(a,
z)vertical bar is of order vertical bar Z vertical
bar(a-1)e(-Re(z)), and extends an upper estimate of
Natalini and Palumbo to complex values of z.",
acknowledgement = ack-nhfb,
ajournal = "Math. Inequal. Appl.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Inequalities \& Applications",
journal-URL = "http://mia.ele-math.com/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2009:UBC",
}
@Article{Borwein:2009:UCF,
author = "J. Borwein and A. J. Guirao and P. H{\'a}jek and J.
Vanderwerff",
title = "Uniformly convex functions on {Banach} spaces",
journal = j-PROC-AM-MATH-SOC,
volume = "137",
number = "3",
pages = "1081--1091",
year = "2009",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-08-09630-5",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B20 (46G05 46N10 49J50 52A41 90C48)",
MRnumber = "2457450",
MRreviewer = "Doug Ward",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/340/",
abstract = "Given a Banach space $ (X, || \cdot ||) $, we study
the connection between uniformly convex functions $ f
\colon X \to R $ bounded above by $ || \cdot ||^p $ and
the existence of norms on $X$ with moduli of convexity
of power type. In particular, we show that there exists
a uniformly convex function $ f \colon X \to R$ bounded
above $ || \cdot ||^2$ if and only if $X$ admits an
equivalent norm with modulus of convexity of power type
2",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Hajek,
Petr/D-5429-2014",
unique-id = "Borwein:2009:UCF",
}
@Article{Jackson:2009:JER,
author = "Allyn Jackson",
title = "{John Ewing} retires from the {AMS}",
journal = j-NAMS,
volume = "56",
number = "1",
pages = "48--51",
month = jan,
year = "2009",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Tue Aug 16 09:18:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "With contributions by Jonathan Borwein and Jane
Kister. Borwein's is a sidebar on page 49, with the
title \booktitle{Some Reflections on John Ewing}.",
URL = "https://www.ams.org/journals/notices/200901/200901-full-issue.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Bacak:2010:DCF,
author = "M. Bac{\'a}k and J. Borwein and B. Sims",
title = "Differentiability of convex functions in {CAT(0)}
spaces",
month = aug,
year = "2010",
bibdate = "Tue Aug 16 10:01:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bacak:2010:ICL,
author = "Miroslav Ba{\v{c}}{\'a}k and Jonathan M. Borwein and
Andrew Eberhard and Boris S. Mordukhovich",
title = "Infimal convolutions and {Lipschitzian} properties of
subdifferentials for prox-regular functions in
{Hilbert} spaces",
journal = j-J-CONVEX-ANAL,
volume = "17",
number = "3--4",
pages = "737--763",
year = "2010",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49J52 (46G05)",
MRnumber = "2731276",
MRreviewer = "Shawn Xianfu Wang",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special volume in honour of Hedi Attouch.",
URL = "http://docserver.carma.newcastle.edu.au/1224/;
http://www.heldermann.de/JCA/JCA17/JCA173/jca17049.htm",
abstract = "In this paper we study infimal convolutions of
extended-real-valued functions in Hilbert spaces paying
a special attention to the rather broad and remarkable
class of prox-regular functions. Such functions have
been well recognized as highly important in many
aspects of variational analysis and its applications in
both finite-dimensional and infinite-dimensional
settings. Based on advanced variational techniques, we
discover some new subdifferential properties of infimal
convolutions and apply them to the study of
Lipschitzian behavior of subdifferentials for
prox-regular functions in Hilbert spaces. It is shown,
in particular, that the fulfillment of a natural
Lipschitz-like property for (set-valued)
subdifferentials of prox-regular functions forces such
functions, under weak assumptions, actually to be
locally smooth with single-valued subdifferentials
reduced to Lipschitz continuous gradient mappings.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Eberhard,
Andrew/0000-0003-2977-3456",
researcherid-numbers = "Eberhard, Andrew/B-5576-2013",
unique-id = "Bacak:2010:ICL",
}
@Article{Bailey:2010:ATB,
author = "D. H. Bailey and J. M. Borwein and R. E. Crandall",
title = "Advances in the theory of box integrals",
journal = j-MATH-COMPUT,
volume = "79",
number = "271",
pages = "1839--1866",
month = jul,
year = "2010",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-10-02338-0",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y60 (65D30)",
MRnumber = "2630017",
MRreviewer = "Michael J. Evans",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/389/;
https://www.jstor.org/stable/20779125",
abstract = "Box integrals--expectations $ \langle \vert \vec r
\vert^s \rangle $ or $ \langle \vert \vec r - \vec q
\vert^s \rangle $ over the unit $ n$-cube--have over
three decades been occasionally given closed forms for
isolated $ n, s$. By employing experimental mathematics
together with a new, global analytic strategy, we prove
that for each of $ n = 1, 2, 3, 4$ dimensions the box
integrals are for any integer $ s$ hypergeometrically
closed (hyperclosed'') in an explicit sense we clarify
herein. For $ n = 5$ dimensions, such a complete
hyperclosure proof is blocked by a single, unresolved
integral we call $ {\mathcal K}_5$; although we do
prove that all but a finite set of ($ n = 5$) cases
enjoy hyperclosure. We supply a compendium of exemplary
closed forms that arise naturally from the theory.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "D-drive preprint 389 (March 2009).",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Bailey:2010:ATB",
}
@InProceedings{Bailey:2010:ECO,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental computation with oscillatory integrals",
crossref = "Amdeberhan:2010:GEM",
pages = "25--40",
year = "2010",
DOI = "https://doi.org/10.1090/conm/517/10131",
MRclass = "11Y35 (42B20)",
MRnumber = "2731059",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/391/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2010:EMMa,
author = "David H. Bailey and Jonathan M. Borwein and David J.
Broadhurst and Wadim Zudilin",
title = "Experimental Mathematics and Mathematical Physics",
journal = "ArXiv e-prints",
month = may,
year = "2010",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2010arXiv1005.0414B;
http://docserver.carma.newcastle.edu.au/1215/",
abstract = "One of the most effective techniques of experimental
mathematics is to compute mathematical entities such as
integrals, series or limits to high precision, then
attempt to recognize the resulting numerical values.
Recently these techniques have been applied with great
success to problems in mathematical physics. Notable
among these applications are the identification of some
key multi-dimensional integrals that arise in Ising
theory, quantum field theory and in magnetic spin
theory.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1005.0414",
keywords = "Mathematical Physics, High Energy Physics -
Phenomenology, Mathematics - Classical Analysis and
ODEs, Mathematics - Number Theory",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Zudilin,
Wadim/0000-0001-9551-2903",
primaryclass = "math-ph",
}
@InCollection{Bailey:2010:EMMb,
author = "David H. Bailey and Jonathan M. Borwein and David
Broadhurst and Wadim Zudilin",
booktitle = "Gems in experimental mathematics",
title = "Experimental mathematics and mathematical physics",
volume = "517",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "41--58",
year = "2010",
DOI = "https://doi.org/10.1090/conm/517/10132",
MRclass = "33F05 (11Y60 33F10 65D30)",
MRnumber = "2731060",
MRreviewer = "Zhonghua Li",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemp. Math.",
URL = "http://docserver.carma.newcastle.edu.au/1215/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Zudilin,
Wadim/0000-0001-9551-2903",
}
@TechReport{Bailey:2010:SMP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solution to {{\booktitle{Monthly}}} Problem 11515",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and School of
Mathematical and Physical Sciences, University of
Newcastle",
address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308,
Australia",
pages = "2",
day = "15",
month = jun,
year = "2010",
bibdate = "Fri Sep 30 08:23:00 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11515.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "The problem of evaluating $ S(t) = \sum_{n = 1}^\infty
4^n \sin^4 (t / 2^n) $ is shown to be equal to the
simple closed form $ T(t) = t^2 - \sin^2 (t) $.",
}
@Book{Borwein:2010:CFC,
author = "Jonathan M. Borwein and Jon D. Vanderwerff",
title = "Convex functions: constructions, characterizations and
counterexamples",
volume = "109",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "x + 521",
year = "2010",
DOI = "https://doi.org/10.1017/CBO9781139087322",
ISBN = "0-521-85005-3",
ISBN-13 = "978-0-521-85005-6",
MRclass = "49-02 (46B20 46N10 49J53 52A41 90C25)",
MRnumber = "2596822",
MRreviewer = "Heinz H. Bauschke",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Encyclopedia of Mathematics and its Applications",
URL = "http://ebooks.cambridge.org/ebook.jsf?bid=CBO9781139087322",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "Frontmatter / i--vi \\
Contents / vii--viii \\
Preface / ix--x \\
1: Why convex? / 1--17 \\
2: Convex functions on Euclidean spaces / 18--93 \\
3: Finer structure of Euclidean spaces / 94--125 \\
4: Convex functions on Banach spaces / 126--208 \\
5: Duality between smoothness and strict convexity /
209--275 \\
6: Further analytic topics / 276--337 \\
7: Barriers and Legendre functions / 338--376 \\
8: Convex functions and classifications of Banach
spaces / 377--402 \\
9: Monotone operators and the Fitzpatrick function /
403--459 \\
10: Further remarks and notes / 460--482 \\
List of symbols / 483--484 \\
References / 485--507",
}
@Article{Borwein:2010:DTM,
author = "Jonathan M. Borwein and O-Yeat Chan",
title = "Duality in tails of multiple-zeta values",
journal = j-INT-J-NUMBER-THEORY,
volume = "6",
number = "3",
pages = "501--514",
month = may,
year = "2010",
DOI = "https://doi.org/10.1142/S1793042110003058",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
MRclass = "11M32 (33C20 33F05)",
MRnumber = "2652893",
MRreviewer = "Zhonghua Li",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "http://docserver.carma.newcastle.edu.au/1218/;
https://www.worldscientific.com/doi/10.1142/S1793042110003058",
abstract = "Duality relations are deduced for tails of
multiple-zeta values using elementary methods. These
formulas extend the classical duality formulas for
multiple-zeta values.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
unique-id = "Borwein:2010:DTM",
}
@Book{Borwein:2010:ECM,
author = "Jonathan Borwein and Peter B. Borwein",
title = "Experimental and computational mathematics: selected
writings",
publisher = "Perfectly Scientific Press",
address = "Portland, OR, USA",
pages = "viii + 297",
year = "2010",
ISBN = "1-935638-05-X",
ISBN-13 = "978-1-935638-05-6",
MRclass = "11-06 (11-04 33-06)",
MRnumber = "2841256",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2010:ENE,
author = "Jonathan M. Borwein and Scott Sciffer",
booktitle = "Nonlinear analysis and optimization {II}.
{Optimization}",
title = "An explicit non-expansive function whose
subdifferential is the entire dual ball",
volume = "514",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "99--103",
year = "2010",
DOI = "https://doi.org/10.1090/conm/514/10101",
MRclass = "49J52",
MRnumber = "2668255",
MRreviewer = "Shawn Xianfu Wang",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemp. Math.",
URL = "http://docserver.carma.newcastle.edu.au/385/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2010:FCV,
author = "Jonathan M. Borwein",
booktitle = "Variational analysis and generalized differentiation
in optimization and control",
title = "Future challenges for variational analysis",
volume = "47",
publisher = pub-SV,
address = pub-SV:adr,
pages = "95--107",
year = "2010",
DOI = "https://doi.org/10.1007/978-1-4419-0437-9_4",
MRclass = "49J53",
MRnumber = "2766756",
MRreviewer = "B. Mordukhovich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Optim. Appl.",
URL = "http://docserver.carma.newcastle.edu.au/396/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2010:FLF,
author = "Jonathan M. Borwein and Jon Vanderwerff",
title = "{Fr{\'e}chet--Legendre} functions and reflexive
{Banach} spaces",
journal = j-J-CONVEX-ANAL,
volume = "17",
number = "3--4",
pages = "915--924",
year = "2010",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "52A41 (46G05 46N10 49J53 90C25)",
MRnumber = "2731284",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special volume in honour of Hedi Attouch.",
URL = "http://www.heldermann.de/JCA/JCA17/JCA173/jca17057.htm",
abstract = "A 2001 article by Bauschke, Borwein and Combettes [2]
showed how to extend naturally the classical
definitions of essential smoothness and essential
strict convexity from functions on R(n) in a compatible
fashion to any Banach space. They were able, among
other things, to show that substantial duality results
hold for Legendre functions in reflexive spaces. That
article focused on essential smoothness in the Gateaux
sense. Our goal herein is to show that similar results
hold for Frechet smoothness and to study related
properties of such functions on reflexive Banach
spaces.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2010:FLF",
}
@Article{Borwein:2010:FYM,
author = "Jonathan M. Borwein",
title = "Fifty years of maximal monotonicity",
journal = j-OPTIM-LETT,
volume = "4",
number = "4",
pages = "473--490",
year = "2010",
DOI = "https://doi.org/10.1007/s11590-010-0178-x",
ISSN = "1862-4472 (print), 1862-4480 (electronic)",
ISSN-L = "1862-4472",
MRclass = "47H05 (47H09 49-02 49J53 90C25 90C33)",
MRnumber = "2719898",
MRreviewer = "Simeon Reich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1221/",
abstract = "Maximal monotone operator theory is about to turn (or
just has turned) 50. I intend to briefly survey the
history of the subject. I shall try to explain why
maximal monotone operators are both interesting and
important-culminating with a description of the
remarkable progress made during the past decade.",
acknowledgement = ack-nhfb,
ajournal = "Optim. Lett.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization Letters",
journal-URL = "http://link.springer.com/journal/11590",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2010:FYM",
}
@Article{Borwein:2010:HDB,
author = "Jonathan M. Borwein and O-Yeat Chan and R. E.
Crandall",
title = "Higher-Dimensional Box Integrals",
journal = j-EXP-MATH,
volume = "19",
number = "4",
pages = "431--446",
year = "2010",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2010.10390634",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "33B30",
MRnumber = "2778656",
MRreviewer = "Cristinel Mortici",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/19/4",
URL = "http://docserver.carma.newcastle.edu.au/1223/;
http://projecteuclid.org/euclid.em/1317758103",
abstract = "Herein, with the aid of substantial symbolic
computation, we solve previously open problems in the
theory of n-dimensional box integrals B(n)(s) :=
<vertical bar(r) over bar vertical bar(s)>, (r) over
bar is an element of [0, 1](n). In particular, we
resolve an elusive integral called kappa(5) that
previously acted as a ``blockade'' against closed-form
evaluation in n = 5 dimensions. In consequence, we now
know that B(n) (integer) can be given a closed form for
n = 1, 2, 3, 4, 5. We also find the general residue at
the pole at s = n, this leading to new relations and
definite integrals; for example, we are able to give
the first nontrivial closed forms for six-dimensional
box integrals and to show hyperclosure of B(6)(even).
The Clausen function and its generalizations play a
central role in these higher-dimensional evaluations.
Our results provide stringent test scenarios for
symbolic-algebra simplification methods.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2010:HDB",
}
@InProceedings{Borwein:2010:MEPa,
author = "J. M. Borwein",
booktitle = "ICME10 Proceedings, July 2010",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century",
publisher = "????",
address = "????",
pages = "??--??",
year = "2010",
bibdate = "Sat Aug 13 16:42:06 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/272/",
abstract = "If mathematics describes an objective world just like
physics, there is no reason why inductive methods
should not be applied in mathematics just the same as
in physics.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CoLab Preprint 272.",
}
@Article{Borwein:2010:NSF,
author = "David Borwein and Jonathan M. Borwein and Isaac E.
Leonard",
title = "{$ L_p $} Norms and the Sinc Function",
journal = j-AMER-MATH-MONTHLY,
volume = "117",
number = "6",
pages = "528--539",
month = jun,
year = "2010",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/000298910X492817",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "26A09",
MRnumber = "2662705",
MRreviewer = "Timo A. J. Tossavainen",
bibdate = "Mon Jan 30 08:58:17 MST 2012",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/10.4169/amermathmont.117.issue-6;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "https://www.jstor.org/stable/pdfplus/10.4169/000298910X492817.pdf",
abstract = "It's everywhere! It's everywhere! \ldots{} In this
note we give elementary proofs of some of the striking
asymptotic properties of the $p$-norm of the ubiquitous
sinc function. Based on experimental evidence we
conjecture some enticing further properties of the
$p$-norm as a function of $p$. See, for example,
{\tt http://www.carma.newcastle.edu.au/~jb616/oscillatory.pdf}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2010:PNS",
}
@InCollection{Borwein:2010:RWP,
author = "Jonathan M. Borwein and Dirk Nuyens and Armin Straub
and James Wan",
booktitle = "{22nd International Conference on Formal Power Series
and Algebraic Combinatorics (FPSAC 2010)}",
title = "Random walks in the plane",
publisher = "Assoc. Discrete Math. Theor. Comput. Sci.",
address = "Nancy, France",
pages = "191--202",
year = "2010",
MRclass = "05C81 (05A15)",
MRnumber = "2673835",
MRreviewer = "Manuel Batista Branco",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Discrete Math. Theor. Comput. Sci. Proc., AN",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-URL = "http://math.sfsu.edu/fpsac/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Nuyens,
Dirk/0000-0002-4555-2314; Straub,
Armin/0000-0001-6802-6053",
}
@Article{Borwein:2010:SCC,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Stability of closedness of convex cones under linear
mappings {II}",
journal = "Journal of Nonlinear Analysis and Optimization: Theory
\& Applications",
volume = "1",
number = "1",
pages = "1--7",
year = "2010",
ISSN = "1906-9685",
ISSN-L = "1906-9685",
MRclass = "49J53 (47N10 90C05 90C31)",
MRnumber = "2911681",
MRreviewer = "John R. Giles",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1226/;
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/5",
acknowledgement = ack-nhfb,
ajournal = "J. Nonlinear Anal. Optim.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear Analysis and Optimization. Theory
and Applications",
journal-URL = "http://www.sci.nu.ac.th/jnao",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:TTT,
author = "Jonathan M. Borwein",
title = "Talking to {Telstra}: Two weeks spent with
{Australia}'s largest {Telco}",
day = "27",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:00:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Response to Australian Communications and Media
Authority (ACMA) enquiry, Reconnecting the Customer,
Sept 27, 2010.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The background for this document is provided by Jon's
daughter, Naomi, in a talk at his funeral, and recorded
at
\url{http://jonborwein.org/2016/08/my-father-by-naomi-borwein/}:
``In 2010 Jon changed his Internet and telephone
provider to Telstra, the leading national
telecommunications provider in Australia. Telstra
started by providing service to J Brow-ein, and things
went down hill from there. So Jon chronicled his
month-long quest to fix his Internet and telephone
connection in a highly amusing, but frustratingly
bureaucratic, sixty page document. It ended up being
obligatory reading for all the vice presidents at
Telstra, and was sent as part of a package to the
Australian Government's royal commission on the
dysfunction of Big Telcos in the country. This was
under the umbrella of the Australian Communications and
Media Authority, which is an Australian Government
statutory authority. Jon was personally thanked in the
final report that was lodged in parliament.''",
}
@Article{Bacak:2011:DCL,
author = "Miroslav Ba{\v{c}}{\'a}k and Jonathan M. Borwein",
title = "On difference convexity of locally {Lipschitz}
functions",
journal = j-OPTIMIZATION,
volume = "60",
number = "8--9",
pages = "961--978",
year = "2011",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331931003770411",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
MRclass = "49J53 (49-02)",
MRnumber = "2860286",
MRreviewer = "Shawn Xianfu Wang",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1446/",
abstract = "We survey and enhance salient parts of the literature
about difference convex (DC) functions with specific
regard to current knowledge and applications of DC
functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Bacak:2011:DCL",
}
@TechReport{Bailey:2011:CPI,
author = "David H. Bailey and Jonathan M. Borwein and Andrew
Mattingly and Glenn Wightwick",
title = "The Computation of Previously Inaccessible Digits of $
\pi^2 $ and {Catalan}'s Constant",
type = "Report",
institution = "Lawrence Berkeley National Laboratory; Centre for
Computer Assisted Research Mathematics and its
Applications (CARMA), University of Newcastle; IBM
Australia",
address = "Berkeley, CA, USA; Callaghan, NSW 2308, Australia; St.
Leonards, NSW 2065, Australia; Pyrmont, NSW 2009,
Australia",
pages = "18",
day = "11",
month = apr,
year = "2011",
bibdate = "Sat Apr 23 08:58:45 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://crd.lbl.gov/~dhbailey/dhbpapers/bbp-bluegene.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Submitted to Notices of the AMS.",
}
@TechReport{Bailey:2011:EAN,
author = "David H. Bailey and Jonathan M. Borwein and Cristian
S. Calude and Michael J. Dinneen and Monica Dumitrescu
and Alex Yee",
title = "An Empirical Approach to the Normality of $ \pi $",
type = "Report",
number = "CDMTCS-413",
institution = "Centre for Discrete Mathematics and Theoretical
Computer Science, University of Auckland",
address = "Auckland, New Zealand",
pages = "i + 31",
month = nov,
year = "2011",
bibdate = "Tue Aug 23 06:50:08 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1382/;
http://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/?download&paper_file=413",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Calude, Cristian
Sorin/0000-0002-8711-6799",
}
@Article{Bailey:2011:EEC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Exploratory experimentation and computation",
journal = j-NAMS,
volume = "58",
number = "10",
pages = "1410--1419",
month = nov,
year = "2011",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "00A35",
MRnumber = "2884022",
MRreviewer = "Eduard Glas",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Chinese translation in Mathematical Advances in
Translation (Chinese Academy of Science), June 2012.",
URL = "http://docserver.carma.newcastle.edu.au/1396/;
https://www.ams.org/notices/201110/rtx111001410p.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2011:GMDa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The Greatest Mathematical Discovery?",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Centre for
Computer Assisted RMA, University of Newcastle",
address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308,
Australia",
pages = "10",
day = "8",
month = may,
year = "2011",
bibdate = "Fri Aug 12 18:29:28 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.davidhbailey.com/dhbpapers/decimal.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "decimal arithmetic history",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:HPN,
author = "D. H. Bailey and J. M. Borwein",
title = "High-precision numerical integration: Progress and
challenges",
journal = j-J-SYMBOLIC-COMP,
volume = "46",
number = "7",
pages = "741--754",
month = jul,
year = "2011",
CODEN = "JSYCEH",
DOI = "https://doi.org/10.1016/j.jsc.2010.08.010",
ISSN = "0747-7171 (print), 1095-855x (electronic)",
ISSN-L = "0747-7171",
MRclass = "65D30 (65Y05 68W30)",
MRnumber = "2795208",
MRreviewer = "G. A. Evans",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
note = "Special Issue in Honour of Keith Geddes on his 60th
Birthday.",
URL = "http://docserver.carma.newcastle.edu.au/1444/;
http://www.sciencedirect.com/science/article/pii/S0747717110001409",
abstract = "One of the most fruitful advances in the field of
experimental mathematics has been the development of
practical methods for very high-precision numerical
integration, a quest initiated by Keith Geddes and
other researchers in the 1980s and 1990s. These
techniques, when coupled with equally powerful integer
relation detection methods, have resulted in the
analytic evaluation of many integrals that previously
were beyond the realm of symbolic techniques. This
paper presents a survey of the current state-of-the-art
in this area (including results by the present authors
and others), mentions some new results, and then
sketches what challenges lie ahead.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
keywords = "High-precision arithmetic; Ising theory; Numerical
integration; Quadrature; Quantum field theory",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2011:BBT,
author = "H. H. Bauschke and J. M. Borwein and X. Wang and L.
Yao",
title = "The {Br{\'e}zis--Browder} Theorem in a general
{Banach} space",
journal = "ArXiv e-prints",
month = oct,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1110.5706B",
abstract = "During the 1970s Br{\'e}zis and Browder presented a
now classical characterization of maximal monotonicity
of monotone linear relations in reflexive spaces. In
this paper, we extend and refine their result to a
general Banach space.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1110.5706",
keywords = "Mathematics - Functional Analysis, 47A06 (Primary),
47H05, 47B65 (Secondary), 47N10, 90C25",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Bauschke:2011:CPM,
author = "H. H. Bauschke and J. M. Borwein and X. Wang and L.
Yao",
title = "Construction of pathological maximally monotone
operators on non-reflexive {Banach} spaces",
journal = "ArXiv e-prints",
month = aug,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1108.1463B;
http://docserver.carma.newcastle.edu.au/1090/",
abstract = "In this paper, we construct maximally monotone
operators that are not of Gossez's dense-type (D) in
many nonreflexive spaces. Many of these operators also
fail to possess the Br{\o}nsted--Rockafellar (BR)
property. Using these operators, we show that the
partial inf-convolution of two BC--functions will not
always be a BC--function. This provides a negative
answer to a challenging question posed by Stephen
Simons. Among other consequences, we deduce that every
Banach space which contains an isomorphic copy of the
James space $ \mathbf {J} $ or its dual $ \mathbf {J}^*
$, or $ c_0 $ or its dual $ \ell^1 $, admits a non type
(D) operator.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1108.1463",
keywords = "Mathematics - Functional Analysis, Primary 47A06,
47H05, Secondary 47B65, 47N1, 90C25",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Bauschke:2011:EMM,
author = "H. H. Bauschke and J. M. Borwein and X. Wang and L.
Yao",
title = "Every maximally monotone operator of
{Fitzpatrick--Phelps} type is actually of dense type",
journal = "ArXiv e-prints",
month = apr,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1104.0750B;
http://docserver.carma.newcastle.edu.au/1442/",
abstract = "We show that every maximally monotone operator of
Fitzpatrick--Phelps type defined on a real Banach space
must be of dense type. This provides an affirmative
answer to a question posed by Stephen Simons in 2001
and implies that various important notions of
monotonicity coincide.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1104.0750",
keywords = "Mathematics - Functional Analysis, Primary 47H05,
Secondary 46B10, 47N10, 90C25",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Bauschke:2011:MML,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang and Liangjin Yao",
title = "For maximally monotone linear relations, dense type,
negative-infimum type, and {Fitzpatrick--Phelps} type
all coincide with monotonicity of the adjoint",
journal = "ArXiv e-prints",
pages = "15",
day = "21",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 09:57:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.6239B;
http://arxiv.org/abs/1103.6239",
abstract = "It is shown that, for maximally monotone linear
relations defined on a general Banach space, the
monotonicities of dense type, of negative-infimum type,
and of Fitzpatrick--Phelps type are the same and
equivalent to monotonicity of the adjoint. This result
also provides affirmative answers to two problems: one
posed by Phelps and Simons, and the other by Simons.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1103.6239",
keywords = "Mathematics - Functional Analysis, Primary 47A06,
47H05, Secondary 47B65, 47N10, 90C25",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Bauschke:2011:MOB,
author = "H. H. Bauschke and J. M. Borwein and X. Wang and L.
Yao",
title = "Monotone operators and ``bigger conjugate''
functions",
journal = "ArXiv e-prints",
month = aug,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1108.2578B;
http://docserver.carma.newcastle.edu.au/1477/",
abstract = "We study a question posed by Stephen Simons in his
2008 monograph involving ``bigger conjugate'' (BC)
functions and the partial infimal convolution. As
Simons demonstrated in his monograph, these function
have been crucial to the understanding and advancement
of the state-of-the-art of harder problems in monotone
operator theory, especially the sum problem. In this
paper, we provide some tools for further analysis of
BC--functions which allow us to answer Simons' problem
in the negative. We are also able to refute a similar
but much harder conjecture which would have generalized
a classical result of Br{\'e}zis, Crandall and Pazy.
Our work also reinforces the importance of
understanding unbounded skew linear relations to
construct monotone operators with unexpected
properties.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1108.2578",
keywords = "Mathematics - Functional Analysis, Primary 47A06,
47H05, Secondary 47B65, 47N10, 90C25",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2011:BRI,
author = "Jonathan Michael Borwein",
title = "Book Review: {{\booktitle{Implicit functions and
solution mappings}}, by Asen L. Dontchev and R. Tyrrell
Rockafellar, Springer, 2009, ISBN 10: 0-387-87820-3,
ISBN 13: 978-0-387-87820-1}",
journal = j-IEEE-CONTROL-SYST-MAG,
volume = "31",
number = "1",
pages = "74--77",
year = "2011",
CODEN = "ISMAD7",
DOI = "https://doi.org/10.1109/MCS.2010.939261",
ISSN = "1066-033X (print), 1941-000X (electronic)",
ISSN-L = "1066-033X",
MRclass = "00A17",
MRnumber = "2789813",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "IEEE Control Systems Magazine",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:CBF,
author = "Jonathan M. Borwein and Simeon Reich and Shoham
Sabach",
title = "A characterization of {Bregman} firmly nonexpansive
operators using a new monotonicity concept",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "12",
number = "1",
pages = "161--184",
year = "2011",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "47H05 (26B25 47H09 94A17)",
MRnumber = "2816416",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1445/",
abstract = "The property of nonexpansivity (1-Lipschitz) is very
important in the analysis of many optimization
problems. In this paper we study a more general notion
of nonexpansivity - Bregman nonexpansivity. We present
a characterization of Bregman firmly nonexpansive
operators in general reflexive Banach spaces. This
characterization allows us to construct Bregman firmly
nonexpansive operators explicitly. We provide several
examples of such operators with respect to the
Boltzmann-Shannon entropy and the Fermi-Dirac entropy
in Euclidean spaces. We also compute resolvents with
respect to these functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2011:CBF",
}
@InCollection{Borwein:2011:DRA,
author = "Jonathan M. Borwein and Brailey Sims",
title = "The {Douglas--Rachford} Algorithm in the Absence of
Convexity",
crossref = "Bauschke:2011:FPA",
pages = "93--109",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-9569-8_6",
MRclass = "47N10 (47H10 47J25 65J15 90C26)",
MRnumber = "2858834",
MRreviewer = "A. G. Kartsatos",
bibdate = "Sat Aug 13 16:00:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Optim. Appl.",
URL = "http://link.springer.com/chapter/10.1007/978-1-4419-9569-8_6",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:DSU,
author = "Jonathan M. Borwein and A. Straub and J. Wan and Wadim
Zudilin",
title = "Densities of short uniform random walks",
journal = "ArXiv e-prints",
month = mar,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.2995B;
http://docserver.carma.newcastle.edu.au/1388/",
abstract = "We study the densities of uniform random walks in the
plane. A special focus is on the case of short walks
with three or four steps and less completely those with
five steps. As one of the main results, we obtain a
hypergeometric representation of the density for four
steps, which complements the classical elliptic
representation in the case of three steps. It appears
unrealistic to expect similar results for more than
five steps. New results are also presented concerning
the moments of uniform random walks and, in particular,
their derivatives. Relations with Mahler measures are
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1103.2995",
keywords = "Mathematics - Classical Analysis and ODEs, Mathematics
- Number Theory, 60G50 (Primary) 33C20, 34M25, 44A10
(Secondary)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053; Zudilin,
Wadim/0000-0001-9551-2903",
primaryclass = "math.CA",
}
@Book{Borwein:2011:EMB,
author = "Jonathan Borwein and Keith Devlin",
title = "{Experimentelle Mathematik: Eine beispielorientierte
Einf{\"u}hrung}. ({German}) [{Experimental}
mathematics: an example-oriented introduction]",
publisher = "Spektrum Akademischer Verlag",
address = "Heidelberg, Germany",
pages = "xii + 158",
year = "2011",
DOI = "https://doi.org/10.1007/978-3-8274-2662-8",
ISBN = "3-8274-2661-8, 3-8274-2662-6 (e-book)",
ISBN-13 = "978-3-8274-2661-1, 978-3-8274-2662-8 (e-book)",
LCCN = "QA8.7 .B67 2011",
MRclass = "00A35 (01A75 11-04 11Y16 11Y60)",
MRnumber = "3052999",
bibdate = "Thu Aug 11 17:05:04 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "German translation by Roland Girgensohn of
\cite{Borwein:2009:CCI}, with updates.",
URL = "http://link.springer.com/book/10.1007/978-3-8274-2662-8",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
language = "German",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Life Science and Basic Disciplines (German Language)
(Springer-11777).",
subject = "Mathematics, general; Computermathematik",
tableofcontents = "Front Matter / i--xii \\
Was ist Experimentelle Mathematik? / 1-16 \\
Was ist die billiardste Dezimalstelle von $\pi$? /
17---28 \\
Was ist diese Zahl? / 29--38 \\
Die wichtigste Funktion in der Mathematik / 39--48 \\
Werten Sie das folgende Integral aus! / 49--60 \\
Gl{\"u}ckstreffer / 61--69 \\
Berechnungen von $\pi$ / 71--79 \\
Der Computer kennt mehr Mathematik als Sie / 81--91 \\
Treib es bis zum Limit! / 93--104 \\
Vorsicht! Gefahr beim Gebrauch des Computers! /
105--113 \\
Was wir Ihnen bisher nicht verraten haben / 115--130
\\
Back Matter / 131--158",
}
@InCollection{Borwein:2011:ERF,
author = "Jonathan M. Borwein and D. Russell Luke",
title = "Entropic Regularization of the $ \ell_0 $ Function",
crossref = "Bauschke:2011:FPA",
pages = "65--92",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-9569-8_5",
MRclass = "49M20 (49N15 65K10 90C30)",
MRnumber = "2858833",
MRreviewer = "Aris Daniilidis",
bibdate = "Sat Aug 13 16:00:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Optim. Appl.",
URL = "http://docserver.carma.newcastle.edu.au/1451/;
http://link.springer.com/chapter/10.1007/978-1-4419-9569-8_5",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2011:IMM,
author = "Jonathan M. Borwein and Matthew P. Skerritt",
title = "An introduction to modern mathematical computing: with
{Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 216",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4614-0122-3",
ISBN = "1-4614-0121-6",
ISBN-13 = "978-1-4614-0121-6",
LCCN = "QA76.6 .B665 2011",
MRclass = "65-01 (15-01 26-01 68-01)",
MRnumber = "2808248",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
series = "Springer Undergraduate Texts in Mathematics and
Technology",
URL = "http://docserver.carma.newcastle.edu.au/1727/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "Front Matter / i--xvi \\
Number Theory / 1--65 \\
Calculus / 67--128 \\
Linear Algebra / 129--185 \\
Visualization and Geometry: A Postscript / 187--201 \\
Back Matter / 211--216",
}
@Article{Borwein:2011:LEW,
author = "J. M. Borwein",
title = "Letter to the {Editor}: Why are mathematics papers so
dull?",
journal = j-SIAM-NEWS,
volume = "44",
number = "6",
pages = "7--7",
month = jul # "\slash " # aug,
year = "2011",
ISSN = "0036-1437",
ISSN-L = "0036-1437",
bibdate = "Sat Aug 13 15:55:33 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.siam.org/news/news.php?id=1903",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:LHM,
author = "Jonathan M. Borwein and Judy-Anne Osborn",
title = "{{\booktitle{Loving and hating mathematics}}, by
Reuben Hersh and Vera John-Steiner. Princeton and
Oxford: Princeton University Press, 2010, 428 pp.,
US\$29.95. ISBN-10: 0-691-14247-5, ISBN-13:
978-0-691-14247-0 [book review of \refcno 2731560]}",
journal = j-MATH-INTEL,
volume = "33",
number = "4",
pages = "63--69",
month = dec,
year = "2011",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/s00283-011-9260-1",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "00A17",
MRnumber = "2906477",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s00283-011-9260-1",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:LSEa,
author = "J. M. Borwein and A. Straub",
title = "Log-sine evaluations of {Mahler} measures",
journal = "ArXiv e-prints",
month = mar,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.3893B
https://arxiv.org/abs/1103.3893;
https://arxiv.org/pdf/1103.3893.pdf",
abstract = "We provide evaluations of several recently studied
higher and multiple Mahler measures using log-sine
integrals. This is complemented with an analysis of
generating functions and identities for log-sine
integrals which allows the evaluations to be expressed
in terms of zeta values or more general polylogarithmic
terms. The machinery developed is then applied to
evaluation of further families of multiple Mahler
measures.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1103.3893",
keywords = "Mathematics - Classical Analysis and ODEs,
Mathematical Physics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
primaryclass = "math.CA",
}
@Article{Borwein:2011:LSEb,
author = "David Borwein and Jonathan M. Borwein and Armin Straub
and James Wan",
title = "Log-sine evaluations of {Mahler} measures, {II}",
journal = "ArXiv e-prints",
month = mar,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.3035B;
http://docserver.carma.newcastle.edu.au/1435/",
abstract = "We continue the analysis of higher and multiple Mahler
measures using log-sine integrals as started in
``Log-sine evaluations of Mahler measures'' and
``Special values of generalized log-sine integrals'' by
two of the authors. This motivates a detailed study of
various multiple polylogarithms and worked examples are
given. Our techniques enable the reduction of several
multiple Mahler measures, and supply an easy proof of
two conjectures by Boyd.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1103.3035",
keywords = "Mathematics - Classical Analysis and ODEs,
Mathematical Physics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
primaryclass = "math.CA",
}
@TechReport{Borwein:2011:MHM,
author = "Jonathan M. Borwein and Wadim Zudilin",
title = "Math Honours: Multiple Zeta Values",
type = "Classroom notes",
institution = "Centre for Computer Assisted RMA, University of
Newcastle",
address = "Callaghan, NSW 2308, Australia",
pages = "65",
day = "19",
month = oct,
year = "2011",
bibdate = "Fri Nov 04 16:04:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://carma.newcastle.edu.au/MZVs/mzv.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Zudilin,
Wadim/0000-0001-9551-2903",
tableofcontents = "1. Introduction to multiple zeta values (MZVs) \\
2. Method of partial fractions \\
3. Algebra of MZVs \\
4. Generalized polylogarithms and generating functions
of MZVs \\
5. Duality theorem. Sum theorem and Ohno's relations
\\
6. Quasi-shuffle products. Derivations \\
7. $q$-Analogues of MZVs \\
8. Other extensions and open questions",
}
@InProceedings{Borwein:2011:MMS,
author = "Jonathan Borwein",
booktitle = "Proceedings of the 2011 International Workshop on
Symbolic--Numeric Computation",
title = "{Mahler} Measures, Short Walks and Log-sine Integrals:
A Case Study in Hybrid Computation",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "1--1",
year = "2011",
DOI = "https://doi.org/10.1145/2331684.2331685",
ISBN = "1-4503-0515-6",
ISBN-13 = "978-1-4503-0515-0",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "SNC '11",
URL = "http://doi.acm.org/10.1145/2331684.2331685",
acknowledgement = ack-nhfb,
acmid = "2331685",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Mahler measures, log-sine integral, short walks",
location = "San Jose, California",
numpages = "1",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:MOE,
author = "J. M. Borwein and R. Burachik and L. Yao",
title = "Monotone Operators without Enlargements",
journal = "ArXiv e-prints",
day = "11",
month = oct,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1110.3102B;
http://arxiv.org/abs/1110.3102;
http://docserver.carma.newcastle.edu.au/1447/",
abstract = "Enlargements have proven to be useful tools for
studying maximally monotone mappings. It is therefore
natural to ask in which cases the enlargement does not
change the original mapping. Svaiter has recently
characterized non-enlargeable operators in reflexive
Banach spaces and has also given some partial results
in the nonreflexive case. In the present paper, we
provide another characterization of non-enlargeable
operators in nonreflexive Banach spaces under a
closedness assumption on the graph. Furthermore, and
still for general Banach spaces, we present a new proof
of the maximality of the sum of two maximally monotone
linear relations. We also present a new proof of the
maximality of the sum of a maximally monotone linear
relation and a normal cone operator when the domain of
the linear relation intersects the interior of the
domain of the normal cone.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1110.3102",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 47A06, 47H05,
Secondary 47B65, 47N10, 90C25",
ORCID-numbers = "Burachik, Regina/0000-0003-1332-6213; Borwein,
Jonathan/0000-0002-1263-0646",
pagecount = "26",
primaryclass = "math.FA",
}
@Unpublished{Borwein:2011:MOT,
author = "Jonathan M. Borwein and Andrew Eberhard and Liangjin
Yao",
title = "Monotone operators of type {FPV}",
month = aug,
year = "2011",
bibdate = "Tue Aug 16 09:59:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Eberhard,
Andrew/0000-0003-2977-3456",
}
@Article{Borwein:2011:MRGa,
author = "David Borwein and Jonathan M. Borwein and M. Larry
Glasser and James G. Wan",
title = "Moments of {Ramanujan}'s generalized elliptic
integrals and extensions of {Catalan}'s constant",
journal = j-J-MATH-ANAL-APPL,
volume = "384",
number = "2",
pages = "478--496",
year = "2011",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2011.06.001",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "33E05 (33C05)",
MRnumber = "2825201",
MRreviewer = "Diego E. Dominici",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1443/;
http://www.sciencedirect.com/science/article/pii/S0022247X1100549X",
abstract = "We undertake a thorough investigation of the moments
of Ramanujan's alternative elliptic integrals and of
related hypergeometric functions. Along the way we are
able to give some surprising closed forms for
Catalan-related constants and various new
hypergeometric identities.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Catalan's constant; Elliptic integrals; Hypergeometric
functions; Moments",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2011:PSE,
author = "D. Borwein and Jonathan M. Borwein",
title = "Proof of some experimentally conjectured formulas for
$ \pi $",
type = "Preprint",
institution = "Department of Mathematics, University of Western
Ontario and Centre for Computer-assisted Research
Mathematics and its Applications (CARMA), School of
Mathematical and Physical Sciences, University of
Newcastle",
address = "London, ON, Canada and Callaghan, NSW 2308,
Australia",
day = "4",
month = dec,
year = "2011",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
abstract = "A recent paper by M. Jauregui and C. Tsallis
\cite{Jauregui:2010:NRD}, which explores applications
of the $q$-exponential function and formal
representations of the Dirac function, contains a set
of experimentally discovered formulae for $ \pi $ as
finite series of gamma function ratios. Herein, we
prove rigorously these identities as special cases of
Pfaff--Saalsch{\"u}tz evaluation for $_3 F_2 ({a, b, c}
\atop {d, e} | 1)$ functions. We likewise prove and
extend a corresponding integral identity given in
\cite{Jauregui:2010:NRD}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:SAP,
author = "Jonathan M. Borwein and Dirk Nuyens and Armin Straub
and James Wan",
title = "Some arithmetic properties of short random walk
integrals",
journal = j-RAMANUJAN-J,
volume = "26",
number = "1",
pages = "109--132",
year = "2011",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-011-9325-y",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "60G50 (33C20)",
MRnumber = "2837721",
MRreviewer = "Florian Sobieczky",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1440/",
ZMnumber = "1233.60024",
abstract = "We study the moments of the distance traveled by a
walk in the plane with unit steps in random directions.
While this historically interesting random walk is well
understood from a modern probabilistic point of view,
our own interest is in determining explicit closed
forms for the moment functions and their arithmetic
values at integers when only a small number of steps is
taken. As a consequence of a more general evaluation, a
closed form is obtained for the average distance
traveled in three steps. This evaluation, as well as
its proof, rely on explicit combinatorial properties,
such as recurrence equations of the even moments (which
are lifted to functional equations). The corresponding
general combinatorial and analytic features are
collected and made explicit in the case of 3 and 4
steps. Explicit hypergeometric expressions are given
for the moments of a 3-step and 4-step walk and a
general conjecture for even length walks is made.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Nuyens,
Dirk/0000-0002-4555-2314; Straub,
Armin/0000-0001-6802-6053",
researcherid-numbers = "Nuyens, Dirk/A-7426-2016",
unique-id = "Borwein:2011:SAP",
}
@Article{Borwein:2011:SVGa,
author = "Jonathan M. Borwein and Armin Straub",
title = "Special Values of Generalized Log-sine Integrals",
journal = "ArXiv e-prints",
month = mar,
year = "2011",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.4298B;
http://docserver.carma.newcastle.edu.au/1398/",
abstract = "We study generalized log-sine integrals at special
values. At $ \pi $ and multiples thereof explicit
evaluations are obtained in terms of Nielsen
polylogarithms at $ \pm 1 $. For general arguments we
present algorithmic evaluations involving Nielsen
polylogarithms at related arguments. In particular, we
consider log-sine integrals at $ \pi / 3 $ which
evaluate in terms of polylogarithms at the sixth root
of unity. An implementation of our results for the
computer algebra systems Mathematica and SAGE is
provided.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1103.4298",
keywords = "Mathematics - Classical Analysis and ODEs, Computer
Science - Symbolic Computation, Mathematical Physics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
primaryclass = "math.CA",
}
@InProceedings{Borwein:2011:SVGb,
author = "Jonathan M. Borwein and Armin Straub",
booktitle = "Proceedings of the 36th International Symposium on
Symbolic and Algebraic Computation",
title = "Special Values of Generalized Log-sine Integrals",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "43--50",
year = "2011",
DOI = "https://doi.org/10.1145/1993886.1993899",
ISBN = "1-4503-0675-6",
ISBN-13 = "978-1-4503-0675-1",
MRclass = "11R06 (33B99 68W30)",
MRnumber = "2895193",
bibdate = "Wed Aug 10 12:08:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
note = "Awarded ISSAC 2011 Best SIGSAM-ACM Student Paper
Prize.",
series = "ISSAC '11",
URL = "http://docserver.carma.newcastle.edu.au/1398/;
http://doi.acm.org/10.1145/1993886.1993899",
acknowledgement = ack-nhfb,
acmid = "1993899",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Clausen functions, log-sine integrals, multiple
polylogarithms, multiple zeta values",
location = "San Jose, California, USA",
numpages = "8",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
}
@Article{Alladi:2012:PRA,
author = "Krishnaswami Alladi and George E. Andrews and Jonathan
M. Borwein",
title = "Preface to {Ramanujan}'s 125th anniversary special
issue",
journal = j-RAMANUJAN-J,
volume = "29",
number = "1--3",
pages = "1--2",
month = dec,
year = "2012",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-012-9448-9",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11-06 (01A70)",
MRnumber = "2994085",
bibdate = "Fri Aug 12 08:52:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11139-012-9448-9",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Amdeberhan:2012:FEC,
author = "Tewodros Amdeberhan and David Borwein and Jonathan M.
Borwein and Armin Straub",
title = "On formulas for $ \pi $ experimentally conjectured by
{Jauregui--Tsallis}",
journal = j-J-MATH-PHYS,
volume = "53",
number = "7",
pages = "073708",
month = jul,
year = "2012",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4735283",
ISSN = "0022-2488",
ISSN-L = "0022-2488",
MRclass = "33C20 (11Y60 30D15 33C45)",
MRnumber = "2985267",
MRreviewer = "Tatiana Hessami Pilehrood",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012JMP....53g3708A;
http://docserver.carma.newcastle.edu.au/1378/",
abstract = "In a recent study of representing Dirac's delta
distribution using q-exponentials, Jauregui and Tsallis
experimentally discovered formulae for $ \pi $ as
hypergeometric series as well as certain integrals.
Herein, we offer rigorous proofs of these identities
using various methods and our primary intent is to lay
down an illustration of the many technical
underpinnings of such evaluations. This includes an
explicit discussion of creative telescoping and
Carlson's Theorem. We also generalize the
Jauregui--Tsallis identities to integrals involving
Chebyshev polynomials. In our pursuit, we provide an
interesting tour through various topics from classical
analysis to the theory of special functions.",
acknowledgement = ack-nhfb,
article-number = "073708",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eid = "073708",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "Sep 2012",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
pagecount = "15",
remark = "From the Acknowledgments: ``Thanks are due to Nelson
Beebe for directing the authors to the open conjectures
which led to this paper.''",
unique-id = "Amdeberhan:2012:FPE",
}
@Article{AragonArtacho:2012:GCN,
author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein",
title = "Global convergence of a non-convex {Douglas--Rachford}
iteration",
journal = "ArXiv e-prints",
month = mar,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1203.2392A;
http://docserver.carma.newcastle.edu.au/1061/",
abstract = "We establish a region of convergence for the
proto-typical non-convex Douglas--Rachford iteration
which finds a point on the intersection of a line and a
circle. Previous work on the non-convex iteration [2]
was only able to establish local convergence, and was
ineffective in that no explicit region of convergence
could be given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1203.2392",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Bailey:2012:AIS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Ancient {Indian} Square Roots: An Exercise in Forensic
Paleo-Mathematics",
journal = j-AMER-MATH-MONTHLY,
volume = "119",
number = "8",
pages = "646--657",
month = oct,
year = "2012",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.119.08.646",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "01A32",
MRnumber = "2988227",
MRreviewer = "S. G. Dani",
bibdate = "Thu Nov 8 07:34:21 MST 2012",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/10.4169/amermathmont.119.issue-8;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://docserver.carma.newcastle.edu.au/1385/;
https://www.jstor.org/stable/10.4169;
https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.119.08.646.pdf",
abstract = "This article examines the computation of square roots
in ancient India in the context of the discovery of
positional decimal arithmetic.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "Bailey:2012:AIS",
}
@Article{Bailey:2012:EAN,
author = "David H. Bailey and Jonathan M. Borwein and Cristian
S. Calude and Michael J. Dinneen and Monica Dumitrescu
and Alex Yee",
title = "An Empirical Approach to the Normality of $ \pi $",
journal = j-EXP-MATH,
volume = "21",
number = "4",
pages = "375--384",
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2012.665333",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11K16 (03D32 11A63)",
MRnumber = "3004253",
MRreviewer = "John H. Loxton",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://docserver.carma.newcastle.edu.au/1382/",
abstract = "Using the results of several extremely large recent
computations [Yee and Kondo 11], we tested positively
the normality of a prefix of roughly four trillion
hexadecimal digits of p. This result was used by a
Poisson process model of normality of p: in this model,
it is extraordinarily unlikely that p is not
asymptotically normal base 16, given the normality of
its initial segment.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Calude, Cristian
Sorin/0000-0002-8711-6799",
unique-id = "Bailey:2012:EAN",
}
@Article{Bailey:2012:EEC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Exploration, Experimentation and Computation",
journal = "International Advances in Mathematics",
volume = "31",
number = "1",
pages = "1--14",
month = jan,
year = "2012",
ISSN = "1003-3092",
ISSN-L = "1003-3092",
bibdate = "Fri Sep 30 08:44:21 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Chinese translation of \cite{Bailey:2011:EEC}.",
URL = "http://www.davidhbailey.com/dhbpapers/expexp-chinese.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
language = "Chinese",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Book{Bailey:2012:EEM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Exploratory experimentation in mathematics: selected
works",
publisher = "Perfectly Scientific Press",
address = "Portland, OR, USA",
pages = "364",
year = "2012",
ISBN = "1-935638-24-6",
ISBN-13 = "978-1-935638-24-7",
LCCN = "QA76.95 .B34 2012",
bibdate = "Tue Aug 16 08:41:02 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Experiments; Experiments.",
}
@Article{Bailey:2012:HHC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Hand-to-hand combat with thousand-digit integrals",
journal = j-J-COMPUT-SCI,
volume = "3",
number = "3",
pages = "77--86",
year = "2012",
DOI = "https://doi.org/10.1016/j.jocs.2010.12.004",
ISSN = "1877-7503 (print), 1877-7511 (electronic)",
ISSN-L = "1877-7503",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Scientific Computation Methods and Applications.",
URL = "http://docserver.carma.newcastle.edu.au/1393/;
http://www.sciencedirect.com/science/article/pii/S1877750310000773",
abstract = "In this paper we describe numerical investigations of
definite integrals that arise by considering the
moments of multi-step uniform random walks in the
plane, together with a closely related class of
integrals involving the elliptic functions K, K', E and
E'. We find that in many cases such integrals can be
``experimentally'' evaluated in closed form or that
intriguing linear relations exist within a class of
similar integrals. Discovering these identities and
relations often requires the evaluation of integrals to
extreme precision, combined with large-scale runs of
the ``PSLQ'' integer relation algorithm. This paper
presents details of the techniques used in these
calculations and mentions some of the many difficulties
that can arise.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Computational Science",
journal-URL = "https://www.sciencedirect.com/journal/journal-of-computational-science",
keywords = "Elliptic integrals; Experimental mathematics;
High-precision computing; Numerical integration; Random
walks",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:HPC,
author = "David H. Bailey and Roberto Barrio and Jonathan M.
Borwein",
title = "High-precision computation: Mathematical physics and
dynamics",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "20",
pages = "10106--10121",
day = "15",
month = jun,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.03.087",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "65Y04 (68M07)",
MRnumber = "2921767",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://docserver.carma.newcastle.edu.au/775/;
http://www.sciencedirect.com/science/article/pii/S0096300312003505",
abstract = "At the present time, IEEE 64-bit floating-point
arithmetic is sufficiently accurate for most scientific
applications. However, for a rapidly growing body of
important scientific computing applications, a higher
level of numeric precision is required. Such
calculations are facilitated by high-precision software
packages that include high-level language translation
modules to minimize the conversion effort. This paper
presents an overview of recent applications of these
techniques and provides some analysis of their
numerical requirements. We conclude that high-precision
arithmetic facilities are now an indispensable
component of a modern large-scale scientific computing
environment.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
keywords = "Dynamical systems; Experimental mathematics;
High-precision computation; Mathematical physics",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Barrio, Roberto/L-4983-2014",
}
@InCollection{Bailey:2012:ND,
author = "David H. Bailey and Jonathan M. Borwein and Cristian
S. Calude and Michael J. Dinneen and Monica Dumitrescu
and Alex Yee",
editor = "David H. Bailey and Jonathan M. Borwein",
booktitle = "Exploratory Experimentation in Mathematics: Selected
Works",
title = "Normality and the Digits of $ \pi $",
publisher = "Perfectly Scientific Press",
address = "Portland, OR, USA",
day = "3",
month = feb,
year = "2012",
bibdate = "Fri Sep 30 08:47:20 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/normality-digits-pi.pdf",
abstract = "The question of whether (and why) the digits of
well-known constants of mathematics are statistically
random in some sense has long fascinated
mathematicians. Indeed, one prime motivation in
computing and analyzing digits of $ \pi $ is to explore
the age-old question of whether and why these digits
appear ``random.'' The first computation on ENIAC in
1949 of $ \pi $ to 2037 decimal places was proposed by
John von Neumann to shed some light on the distribution
of $ \pi $ (and of $e$) [8, pp. 277--281].",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Calude, Cristian
Sorin/0000-0002-8711-6799",
}
@Unpublished{Bailey:2012:NP,
author = "D. H. Bailey and J. M. Borwein and C. S. Calude and M.
J. Dinneen and M. Dumitrescu and A. Yee",
title = "Normality and pi",
month = feb,
year = "2012",
bibdate = "Tue Aug 16 09:57:02 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
URL = "http://www.carma.newcastle.edu.au/jon/normality-long.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Calude, Cristian
Sorin/0000-0002-8711-6799",
}
@Article{Bailey:2012:NSC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Nonnormality of {Stoneham} constants",
journal = j-RAMANUJAN-J,
volume = "29",
number = "1--3",
pages = "409--422",
year = "2012",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-012-9417-3",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11K16 (11K31)",
MRnumber = "2994109",
MRreviewer = "Robert F. Tichy",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1386/",
ZMnumber = "1336.11055",
abstract = "This paper examines ``Stoneham constants,'' namely
real numbers of the form , for coprime integers ba
parts per thousand yen2 and ca parts per thousand yen2.
These are of interest because, according to previous
studies, alpha (b,c) is known to be b-normal, meaning
that every m-long string of base-b digits appears in
the base-b expansion of the constant with precisely the
limiting frequency b (-m) . So, for example, the
constant is 2-normal. More recently it was established
that alpha (b,c) is not bc-normal, so, for example,
alpha (2,3) is provably not 6-normal. In this paper, we
extend these findings by showing that alpha (b,c) is
not B-normal, where B=b (p) c (q) r, for integers b and
c as above, p,q,ra parts per thousand yen1, neither b
nor c divide r, and the condition D=c (q/p) r (1/p) /b
(c-1)< 1 is satisfied. It is not known whether or not
this is a complete catalog of bases to which alpha
(b,c) is nonnormal. We also show that the sum of two
B-nonnormal Stoneham constants as defined above,
subject to some restrictions, is B-nonnormal.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "Bailey:2012:NSC",
}
@TechReport{Bailey:2012:SMP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Solution to Monthly Problem 11650",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Centre for
Computer Assisted Research Mathematics and its
Applications (CARMA), University of Newcastle and King
Abdulaziz University",
address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308,
Australia and Jeddah 80200, Saudi Arabia.",
pages = "2",
day = "14",
month = jun,
year = "2012",
bibdate = "Fri Sep 30 08:56:31 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/amm-11650.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2012:BBT,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang and Liangjin Yao",
title = "The {Br{\'e}zis--Browder} theorem in a general
{Banach} space",
journal = j-J-FUNCT-ANAL,
volume = "262",
number = "12",
pages = "4948--4971",
year = "2012",
CODEN = "JFUAAW",
DOI = "https://doi.org/10.1016/j.jfa.2012.03.023",
ISSN = "0022-1236 (print), 1096-0783 (electronic)",
ISSN-L = "0022-1236",
MRclass = "47H05 (47H04 49N15)",
MRnumber = "2916057",
MRreviewer = "Simeon Reich",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022123612001462",
abstract = "During the 1970s Br{\'e}zis and Browder presented a
now classical characterization of maximal monotonicity
of monotone linear relations in reflexive spaces. In
this paper, we extend (and refine) their result to a
general Banach space. We also provide an affirmative
answer to a problem posed by Phelps and Simons.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Functional Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/00221236",
keywords = "Adjoint; Br{\'e}zis--Browder Theorem; Linear relation;
Monotone operator; Operator of type (D); Operator of
type (FP); Operator of type (NI); Set-valued operator;
Skew operator; Symmetric operator",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2012:CPM,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang and Liangjin Yao",
title = "Construction of pathological maximally monotone
operators on non-reflexive {Banach} spaces",
journal = j-SET-VALUED-VAR-ANAL,
volume = "20",
number = "3",
pages = "387--415",
year = "2012",
DOI = "https://doi.org/10.1007/s11228-012-0209-0",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
MRclass = "47H05 (47A06 47B65)",
MRnumber = "2949634",
MRreviewer = "Simeon Reich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1108.1463;
http://docserver.carma.newcastle.edu.au/1090/",
abstract = "In this paper, we construct maximally monotone
operators that are not of Gossez's dense-type (D) in
many nonreflexive spaces. Many of these operators also
fail to possess the Bronsted-Rockafellar (BR) property.
Using these operators, we show that the partial
inf-convolution of two BC-functions will not always be
a BC-function. This provides a negative answer to a
challenging question posed by Stephen Simons. Among
other consequences, we deduce-in a uniform fashion-that
every Banach space which contains an isomorphic copy of
the James space or its dual , or c (0) or its dual
a''''(1), admits a non type (D) operator. The existence
of non type (D) operators in spaces containing a''''(1)
or c (0) has been proved recently by Bueno and
Svaiter.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646;",
unique-id = "Bauschke:2012:CPM",
}
@Article{Bauschke:2012:EMM,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang and Liangjin Yao",
title = "Every maximally monotone operator of
{Fitzpatrick--Phelps} type is actually of dense type",
journal = j-OPTIM-LETT,
volume = "6",
number = "8",
pages = "1875--1881",
year = "2012",
DOI = "https://doi.org/10.1007/s11590-011-0383-2",
ISSN = "1862-4472 (print), 1862-4480 (electronic)",
ISSN-L = "1862-4472",
MRclass = "47H05 (47H04 49J53)",
MRnumber = "2996490",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1104.0750;
http://docserver.carma.newcastle.edu.au/1442/",
abstract = "We show that every maximally monotone operator of
Fitzpatrick-Phelps type defined on a real Banach space
must be of dense type. This provides an affirmative
answer to a question posed by Stephen Simons in 2001
and implies that various important notions of
monotonicity coincide.",
acknowledgement = ack-nhfb,
ajournal = "Optim. Lett.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization Letters",
journal-URL = "http://link.springer.com/journal/11590",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646;",
unique-id = "Bauschke:2012:EMM",
}
@Article{Borwein:2012:CUC,
author = "Jonathan M. Borwein and Jon Vanderwerff",
title = "Constructions of Uniformly Convex Functions",
journal = j-CAN-MATH-BULL,
volume = "55",
number = "4",
pages = "697--707",
month = dec,
year = "2012",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2011-049-2",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "49J53 (46G05 52A41 90C25)",
MRnumber = "2994675",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://cms.math.ca/cmb/v55/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
URL = "http://docserver.carma.newcastle.edu.au/778/",
abstract = "We give precise conditions under which the composition
of a norm with a convex function yields a uniformly
convex function on a Banach space. Various applications
are given to functions of power type. The results are
dualized to study uniform smoothness and several
examples are provided.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:CZD,
author = "Jonathan M. Borwein and Regina S. Burachik and
Liangjin Yao",
title = "Conditions for zero duality gap in convex
programming",
journal = "ArXiv e-prints",
pages = "10",
month = nov,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1211.4953B;
http://docserver.carma.newcastle.edu.au/1465/",
abstract = "We introduce and study a new dual condition which
characterizes zero duality gap in nonsmooth convex
optimization. We prove that our condition is weaker
than all existing constraint qualifications, including
the closed epigraph condition. Our dual condition was
inspired by, and is weaker than, the so-called
Bertsekas' condition for monotropic programming
problems. We give several corollaries of our result and
special cases as applications. We pay special attention
to the polyhedral and sublinear cases, and their
implications in convex optimization.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1211.4953",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, 49J52, 48N15 (Primary) 90C25,
90C30, 90C46 (Secondary)",
ORCID-numbers = "Burachik, Regina/0000-0003-1332-6213; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2012:DSU,
author = "Jonathan M. Borwein and Armin Straub and James Wan and
Wadim Zudilin",
title = "Densities of short uniform random walks",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "961--990",
year = "2012",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2011-079-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "60G50 (11R06 33C20 82B41)",
MRnumber = "2979573",
MRreviewer = "Aklilu Zeleke",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "With an appendix by Don Zagier.",
URL = "http://arxiv.org/abs/1103.2995;
http://docserver.carma.newcastle.edu.au/1388/",
abstract = "We study the densities of uniform random walks in the
plane. A special focus is on the case of short walks
with three or four steps and, less completely, those
with five steps. As one of the main results, we obtain
a hypergeometric representation of the density for four
steps, which complements the classical elliptic
representation in the case of three steps. It appears
unrealistic to expect similar results for more than
five steps. New results are also presented concerning
the moments of uniform random walks and, in particular,
their derivatives. Relations with Mahler measures are
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053; Zudilin,
Wadim/0000-0001-9551-2903",
unique-id = "Borwein:2012:DSU",
}
@InCollection{Borwein:2012:EED,
author = "Jonathan Michael Borwein",
title = "Exploratory Experimentation: Digitally-assisted
Discovery and Proof",
crossref = "Hanna:2012:PPM",
pages = "69--96",
year = "2012",
DOI = "https://doi.org/10.1007/978-94-007-2129-6_4",
bibdate = "Sat Aug 13 15:47:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/393/;
http://link.springer.com/chapter/10.1007/978-94-007-2129-6_4",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2012:IMM,
author = "Jonathan M. Borwein and Matthew P. Skerritt",
title = "An introduction to modern mathematical computing: with
{Mathematica}\reg{}",
publisher = pub-SV,
address = pub-SV:adr,
year = "2012",
DOI = "https://doi.org/10.1007/978-1-4614-4253-0",
ISBN = "1-4614-4252-4 (print), 1-4614-4253-2 (e-book)",
ISBN-13 = "978-1-4614-4252-3 (print), 978-1-4614-4253-0
(e-book)",
ISSN = "1867-5506 (print), 1867-5514 (electronic)",
ISSN-L = "1867-5506",
LCCN = "QA76.95 .B67 2012",
bibdate = "Tue Aug 16 08:35:55 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCato;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
series = "Springer undergraduate texts in mathematics and
technology",
URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1030664",
abstract = "Thirty years ago, mathematical computation was
difficult to perform and thus used sparingly. However,
mathematical computation has become far more accessible
due to the emergence of the personal computer, the
discovery of fiber-optics and the consequent
development of the modern internet, and the creation of
Maple, Mathematica, and Matlab. An Introduction to
Modern Mathematical Computing: With Mathematica looks
beyond teaching the syntax and semantics of Mathematica
and similar programs, and focuses on why they are
necessary tools for anyone who engages in mathematics.
It is an essential read for mathematicians, mathematics
educators, computer scientists, engineers, scientists,
and anyone who wishes to expand their knowledge of
mathematics. This volume will also explain how to
become an ``experimental mathematician,'' and will
supply useful information about how to create better
proofs. The text covers material in elementary number
theory, calculus, multivariable calculus, introductory
linear algebra, and visualization and interactive
geometric computation. It is intended for
upper-undergraduate students, and as a reference guide
for anyone who wishes to learn to use the Mathematica
program. Also by J. M. Borwein and M. B. Skerritt: An
Introduction to Modern Mathematical Computing: With
Maple c2011, ISBN: 978-1-4614-0121-6, 216 p. and 81
color illustrations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Data processing; Computer science;
Mathematics.; Data processing.",
tableofcontents = "Number theory \\
Calculus \\
Linear algebra \\
Visualization and geometry: a postscript",
}
@TechReport{Borwein:2012:LPA,
author = "Jonathan M. Borwein",
title = "The Life of Pi: From {Archimedes} to {ENIAC} and
Beyond",
type = "Report",
institution = "Centre for Computer Assisted Research Mathematics and
its Applications (CARMA), University of Newcastle",
address = "Callaghan, NSW 2308, Australia",
pages = "30",
day = "19",
month = jun,
year = "2012",
bibdate = "Sat Sep 03 16:38:50 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Prepared for Berggren Festschrift. Updated and revised
version of \cite{Borwein:2008:VPG}.",
URL = "http://carma.newcastle.edu.au/jon/pi-2012.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:LSEa,
author = "Jonathan M. Borwein and Armin Straub",
title = "Log-sine evaluations of {Mahler} measures",
journal = j-J-AUSTRAL-MATH-SOC,
volume = "92",
number = "1",
pages = "15--36",
year = "2012",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/S1446788712000067",
ISSN = "1446-7887 (print), 1446-8107 (electronic)",
ISSN-L = "1446-7887",
MRclass = "33E20 (11R06 33F10)",
MRnumber = "2945674",
MRreviewer = "Qiang Wu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1384/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8610681",
abstract = "We provide evaluations of several recently studied
higher and multiple Mahler measures using log-sine
integrals. This is complemented with an analysis of
generating functions and identities for log-sine
integrals which allows the evaluations to be expressed
in terms of zeta values or more general polylogarithmic
terms. The machinery developed is then applied to
evaluation of further families of multiple Mahler
measures.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "Borwein:2012:LSE",
}
@Article{Borwein:2012:LSEb,
author = "David Borwein and Jonathan M. Borwein and Armin Straub
and James Wan",
title = "Log-sine evaluations of {Mahler} measures, {II}",
journal = j-INTEGERS,
volume = "12",
number = "6",
pages = "1179--1212",
year = "2012",
CODEN = "INTEHN",
DOI = "https://doi.org/10.1515/integers-2012-0035",
ISSN = "1867-0652 (print), 1867-0660 (electronic)",
MRclass = "11R06",
MRnumber = "3011556",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1103.3035;
http://docserver.carma.newcastle.edu.au/1435/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Integers",
journal-URL = "http://www.degruyter.com/view/j/integ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
}
@Article{Borwein:2012:LTI,
author = "J. M. Borwein and L. Yao",
title = "{Legendre}-type integrands and convex integral
functions",
journal = "ArXiv e-prints",
month = aug,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1208.5217B;
http://docserver.carma.newcastle.edu.au/1455/",
abstract = "In this paper, we study the properties of integral
functionals induced on $ L^1_{E(S, \mu)} $ by closed
convex functions on a Euclidean space $E$. We give
sufficient conditions for such integral functions to be
strongly rotund (well-posed). We show that in this
generality functions such as the Boltzmann--Shannon
entropy and the Fermi--Dirac entropy are strongly
rotund. We also study convergence in measure and give
various limiting counterexample.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1208.5217",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 46B20, 34H05,
Secondary 47H05, 47N10, 90C25",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2012:MEF,
author = "Jonathan M. Borwein",
title = "Maximum entropy and feasibility methods for convex and
nonconvex inverse problems",
journal = j-OPTIMIZATION,
volume = "61",
number = "1",
pages = "1--33",
year = "2012",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331934.2011.632502",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
MRclass = "49-02 (45Q05 49J53 90C25 94A17)",
MRnumber = "2875572",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1439/",
abstract = "We discuss informally two approaches to solving convex
and nonconvex feasibility problems - via entropy
optimization and via algebraic iterative methods. We
shall highlight the advantages and disadvantages of
each and give various related applications and limiting
examples. While some of the results are very classical,
they are not as well-known to practitioners as they
should be. A key role is played by the Fenchel
conjugate.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2012:MEF",
}
@Unpublished{Borwein:2012:MMO,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Maximally monotone operators of negative infimum type
are of dense type: the proof revisited",
month = jun,
year = "2012",
bibdate = "Tue Aug 16 09:56:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:MSM,
author = "J. M. Borwein and L. Yao",
title = "Maximality of the sum of a maximally monotone linear
relation and a maximally monotone operator",
journal = "ArXiv e-prints",
month = dec,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1212.4266B;
http://docserver.carma.newcastle.edu.au/1483/",
abstract = "The most famous open problem in Monotone Operator
Theory concerns the maximal monotonicity of the sum of
two maximally monotone operators provided that
Rockafellar's constraint qualification holds. In this
paper, we prove the maximal monotonicity of $ A + B $
provided that $ A, B $ are maximally monotone and $A$
is a linear relation, as soon as Rockafellar's
constraint qualification holds: $ \dom A \cap \inte
\dom B \neq \varnothing $. Moreover, $ A + B$ is of
type (FPV).",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1212.4266",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 47A06, 47H05,
Secondary 47B65, 47N10, 90C25",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2012:OMT,
author = "Jonathan Borwein and Veselin Jungi{\'c}",
title = "Organic Mathematics: then and now",
journal = j-NAMS,
volume = "59",
number = "3",
pages = "416--419",
month = mar,
year = "2012",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti805",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Sat Aug 13 15:39:26 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1397/;
http://www.ams.org/notices/201203/rtx120300416p.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:RCS,
author = "Jonathan Borwein and Peter B. Borwein and Veselin
Jungi{\'c}",
title = "Remote Collaboration: Six Years of the Coast-To-Coast
Seminar Series",
journal = "Science Communication",
volume = "34",
number = "3",
pages = "419--428",
month = jun,
year = "2012",
DOI = "https://doi.org/10.1177/1075547012443020",
ISSN = "1075-5470 (print), 1552-8545 (electronic)",
ISSN-L = "1075-5470",
bibdate = "Fri Aug 12 08:54:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1387/;
http://scx.sagepub.com/content/34/3/419.abstract",
abstract = "In this article, the authors describe the
Coast-to-Coast Seminar Series, a pan-Canadian
scientific event that has been running since 2005. A
short history of the series and a listing of the
various stages of its development and related
challenges in communicating complex scientific topics
to audiences at a number of remote sites is provided.
In particular, the authors revisit the original goals
of the series and discuss in detail its actual
outcomes. They finish by mentioning some present and
future applications of their experience as organizers
of the series.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://scx.sagepub.com/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2012:RCS",
}
@InCollection{Borwein:2012:REA,
author = "Jonathan M. Borwein and Judy-anne Osborn",
title = "Response to {``Experimental Approaches to Theoretical
Thinking \ldots{}''}",
crossref = "Hanna:2012:PPM",
pages = "??--??",
year = "2012",
bibdate = "Sat Aug 13 15:47:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "I cannot find this a the publisher Web site??",
}
@Article{Borwein:2012:RPMa,
author = "J. M. Borwein and L. Yao",
title = "Recent progress on Monotone Operator Theory",
journal = "ArXiv e-prints",
month = oct,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1210.3401B;
http://docserver.carma.newcastle.edu.au/1457/",
abstract = "In this paper, we survey recent progress on the theory
of maximally monotone operators in general Banach
space. We also extend various of the results and leave
some open questions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1210.3401",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, 47H05 (Primary) 46B10, 47A06,
47B65, 47N10, 90C25 (Secondary)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2012:RPS,
author = "Jonathan M. Borwein",
title = "{Ramanujan} and {Pi}: {Srinivasa Ramanujan}: Going
strong at 125",
journal = j-NAMS,
volume = "59",
number = "11",
pages = "1534--1537",
month = dec,
year = "2012",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti917",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Fri Aug 12 08:47:51 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1379/;
http://www.ams.org/journals/notices/201211/rtx121101522p.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Section of longer article edited by Krishnaswami
Alladi, \booktitle{Srinivasa Ramanujan: Going strong at
125, Part I}, pages 1522--1537.",
}
@Article{Borwein:2012:SRC,
author = "J. M. Borwein and L. Yao",
title = "Some results on the convexity of the closure of the
domain of a maximally monotone operator",
journal = "ArXiv e-prints",
month = may,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1205.4482B;
http://docserver.carma.newcastle.edu.au/1373/",
abstract = "We provide a concise analysis about what is known
regarding when the closure of the domain of a maximally
monotone operator on an arbitrary real Banach space is
convex. In doing so, we also provide an affirmative
answer to a problem posed by Simons.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1205.4482",
keywords = "Mathematics - Functional Analysis, 47H05 (Primary)
26B25, 47A05, 47B65 (Secondary)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2012:SS,
author = "David Borwein and Jonathan M. Borwein and Armin
Straub",
title = "A Sinc that Sank",
journal = j-AMER-MATH-MONTHLY,
volume = "119",
number = "7",
pages = "535--549",
month = aug,
year = "2012",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.119.07.535",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33B10 (26A09)",
MRnumber = "2956424",
MRreviewer = "M{\'a}rcia Kashimoto",
bibdate = "Thu Nov 8 07:34:19 MST 2012",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/10.4169/amermathmont.119.issue-7;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "http://docserver.carma.newcastle.edu.au/1391/;
https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.119.07.535.pdf",
abstract = "We resolve and further study a sinc integral
evaluation, first posed in this MONTHLY in [1967, p.
1015], which was solved in [1968, p. 914] and withdrawn
in [1970, p. 657]. After a short introduction to the
problem and its history, we give a general evaluation
which we make entirely explicit in the case of the
product of three sinc functions. Finally, we exhibit
some more general structure of the integrals in
question.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "Borwein:2012:SS",
}
@Article{Borwein:2012:STMa,
author = "J. M. Borwein and L. Yao",
title = "Structure theory for maximally monotone operators with
points of continuity",
journal = "ArXiv e-prints",
month = mar,
year = "2012",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2012arXiv1203.1101B;
http://docserver.carma.newcastle.edu.au/1375/",
abstract = "In this paper, we consider the structure of maximally
monotone operators in Banach space whose domains have
nonempty interior and we present new and explicit
structure formulas for such operators. Along the way,
we provide new proofs of the norm-to-weak$^*$
closedness and of property (Q) for these operators (as
recently proven by Voisei). Various applications and
limiting examples are given.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1203.1101",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 47H05, Secondary
47B65, 47N10, 90C25",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Piantadosi:2012:CME,
author = "Julia Piantadosi and Phil Howlett and Jonathan
Borwein",
title = "Copulas with maximum entropy",
journal = j-OPTIM-LETT,
volume = "6",
number = "1",
pages = "99--125",
year = "2012",
DOI = "https://doi.org/10.1007/s11590-010-0254-2",
ISSN = "1862-4472 (print), 1862-4480 (electronic)",
ISSN-L = "1862-4472",
MRclass = "60E05 (62H05 90C25)",
MRnumber = "2886586",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1394/",
abstract = "We shall find a multi-dimensional checkerboard copula
of maximum entropy that matches an observed set of
grade correlation coefficients. This problem is
formulated as the maximization of a concave function on
a convex polytope. Under mild constraint qualifications
we show that a unique solution exists in the core of
the feasible region. The theory of Fenchel duality is
used to reformulate the problem as an unconstrained
minimization which is well solved numerically using a
Newton iteration. Finally, we discuss the numerical
calculations for some hypothetical examples and
describe how this work can be applied to the modelling
and simulation of monthly rainfall.",
acknowledgement = ack-nhfb,
ajournal = "Optim. Lett.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization Letters",
journal-URL = "http://link.springer.com/journal/11590",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
unique-id = "Piantadosi:2012:CME",
}
@Article{Piantadosi:2012:MEM,
author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein
and John Henstridge",
title = "Maximum entropy methods for generating simulated
rainfall",
journal = j-NUMER-ALGEBRA-CONTROL-OPTIM,
volume = "2",
number = "2",
pages = "233--256",
month = "????",
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.3934/naco.2012.2.233",
ISSN = "2155-3289 (print), 2155-3297 (electronic)",
ISSN-L = "2155-3297",
MRclass = "62H05 (52A41 65C05)",
MRnumber = "2929449",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/naco.bib",
URL = "http://aimsciences.org/article/doi/10.3934/naco.2012.2.233",
acknowledgement = ack-nhfb,
ajournal = "Numer. Algebra Control Optim.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Numerical Algebra, Control and Optimization",
journal-URL = "http://aimsciences.org/journal/2155-3289",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
}
@Article{AragonArtacho:2013:ACA,
author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and V.
Mart{\'\i}n-M{\'a}rquez and L. Yao",
title = "Applications of Convex Analysis within Mathematics",
journal = "ArXiv e-prints",
month = feb,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1302.1978A;
http://docserver.carma.newcastle.edu.au/1513/",
abstract = "In this paper, we study convex analysis and its
theoretical applications. We first apply important
tools of convex analysis to Optimization and to
Analysis. We then show various deep applications of
convex analysis and especially infimal convolution in
Monotone Operator Theory. Among other things, we
recapture the Minty surjectivity theorem in Hilbert
space, and present a new proof of the sum theorem in
reflexive spaces. More technically, we also discuss
autoconjugate representers for maximally monotone
operators. Finally, we consider various other
applications in mathematical analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1302.1978",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 47N10, 90C25,
Secondary 47H05, 47A06, 47B65",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{AragonArtacho:2013:DRF,
author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K.
Tam",
title = "{Douglas--Rachford} Feasibility Methods for Matrix
Completion Problems",
journal = "ArXiv e-prints",
month = aug,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1308.4243A",
abstract = "In this paper we give general recommendations for
successful application of the Douglas--Rachford
reflection method to convex and non-convex real
matrix-completion problems. These guidelines are
demonstrated by various illustrative examples.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1308.4243",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{AragonArtacho:2013:GCN,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein",
title = "Global convergence of a non-convex {Douglas--Rachford}
iteration",
journal = j-J-GLOBAL-OPT,
volume = "57",
number = "3",
pages = "753--769",
year = "2013",
CODEN = "JGOPEO",
DOI = "https://doi.org/10.1007/s10898-012-9958-4",
ISSN = "0925-5001 (print), 1573-2916 (electronic)",
ISSN-L = "0925-5001",
MRclass = "47J25 (47H10 90C26)",
MRnumber = "3119379",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1203.2392;
http://docserver.carma.newcastle.edu.au/1061/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Global Optimization. An International
Journal Dealing with Theoretical and Computational
Aspects of Seeking Global Optima and Their Applications
in Science, Management and Engineering",
journal-URL = "http://link.springer.com/journal/10898",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{AragonArtacho:2013:RRDa,
author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K.
Tam",
title = "Recent Results on {Douglas--Rachford} Methods for
Combinatorial Optimization Problems",
journal = "ArXiv e-prints",
month = may,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1305.2657A;
http://docserver.carma.newcastle.edu.au/1510/",
abstract = "We discuss recent positive experiences applying convex
feasibility algorithms of Douglas--Rachford type to
highly combinatorial and far from convex problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1305.2657",
keywords = "Mathematics - Optimization and Control, Mathematics -
Combinatorics, 90C27, 90C59, 47N10",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{AragonArtacho:2013:RRDb,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein and Matthew K. Tam",
title = "Recent results on {Douglas--Rachford} methods",
journal = j-SERDICA-MATH-J,
volume = "39",
number = "3--4",
pages = "313--330",
year = "2013",
ISSN = "1310-6600",
MRclass = "90C27 (90C59)",
MRnumber = "3203190",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Serdica. Mathematical Journal. Serdika. Matematichesko
Spisanie",
journal-URL = "http://www.math.bas.bg/serdica/",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{AragonArtacho:2013:WRN,
author = "Francisco J. {Arag{\'o}n Artacho} and David H. Bailey
and Jonathan M. Borwein and Peter B. Borwein",
title = "Walking on Real Numbers",
journal = j-MATH-INTEL,
volume = "35",
number = "1",
pages = "42--60",
month = mar,
year = "2013",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/s00283-012-9340-x",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "11Y60 (60A99 60F05)",
MRnumber = "3041991",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://docserver.carma.newcastle.edu.au/1475/;
http://gigapan.com/gigapans/106803;
http://link.springer.com/article/10.1007/s00283-012-9340-x;
http://www.davidhbailey.com/dhbpapers/tools-walk.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
keywords = "Catalan's constant; Champernowne numbers; continued
fractions; Copeland--Erd{\H{o}}s numbers; DNA genome
numbers; dragon curves; Erd{\H{o}}s--Borwein numbers;
Euler--Mascherino constant ($\gamma$); expected
random-walk distance; exponential constant ($e$);
Fibonacci constant ($F$); Gauss--Kuzmin distribution;
irrational numbers; Koch snowflakes; Liouville number
($\lambda_2$); logarithmic constant ($\log 2$);
Minkowski--Bouligand dimension; normal numbers;
normalized random-walk distance; paper-folding
constant; paper-folding numbers; pi (number); random
walks; Riemann zeta numbers ($\zeta(n)$);
self-similarity; Stoneham numbers; strong normality;
Thue--Morse numbers; transcendental numbers; turtle
plots",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:CLS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Compressed lattice sums arising from the {Poisson}
equation",
journal = j-BOUND-VALUE-PROBL,
volume = "75",
number = "1",
pages = "1--18",
year = "2013",
DOI = "https://doi.org/10.1186/1687-2770-2013-75",
ISSN = "1687-2770",
MRclass = "35J15 (35C10)",
MRnumber = "3055839",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special volume in honour of Hari Srivastava.",
URL = "http://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2013-75;
http://docserver.carma.newcastle.edu.au/1476/;
http://www.boundaryvalueproblems.com/content/2013/1/75",
abstract = "In recent years attention has been directed to the
problem of solving the Poisson equation, either in
engineering scenarios (computational) or in regard to
crystal structure (theoretical). Methods: In (Bailey et
al. in J. Phys. A, Math. Theor. 46:115201, 2013,
doi:10.1088/1751-8113/46/11/115201) we studied a class
of lattice sums that amount to solutions of Poisson's
equation, utilizing some striking connections between
these sums and Jacobi I-function values, together with
high-precision numerical computations and the PSLQ
algorithm to find certain polynomials associated with
these sums. We take a similar approach in this study.
Results: We were able to develop new closed forms for
certain solutions and to extend such analysis to
related lattice sums. We also alluded to results for
the compressed sum phi(2)(x,y,d):=1/pi(2) Sigma(m,n is
an element of O) cos(pi mx)cos(pi n root dy)/m(2) +
dn(2) , (1) where , x, y are real numbers and denotes
the odd integers. In this paper we first survey the
earlier work and then discuss the sum (1) more
completely. Conclusions: As in the previous study, we
find some surprisingly simple closed-form evaluations
of these sums. In particular, we find that in some
cases these sums are given by , where A is an algebraic
number. These evaluations suggest that a deep theory
interconnects all such summations.",
acknowledgement = ack-nhfb,
ajournal = "Bound. Value Probl.",
article-number = "75",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Boundary Value Problems",
journal-URL = "http://boundaryvalueproblems.springeropen.com/",
onlinedate = "13 May 2013",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "Bailey:2013:CLS",
}
@Unpublished{Bailey:2013:CPF,
author = "D. H. Bailey and J. M. Borwein and M. {L{\'o}pez de
Prado} and Qiji Zhu",
title = "Computing the Probability of Over-Fitting in the
Back-Testing and Optimization of Investment
Strategies",
month = sep,
year = "2013",
bibdate = "Tue Aug 16 09:54:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
URL = "http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2308659",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:CPI,
author = "David H. Bailey and Jonathan M. Borwein and Andrew
Mattingly and Glenn Wightwick",
title = "The computation of previously inaccessible digits of
$ \pi^2 $ and {Catalan}'s constant",
journal = j-NAMS,
volume = "60",
number = "7",
pages = "844--854",
month = aug,
year = "2013",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1015",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "11Y60 (65-04)",
MRnumber = "3086394",
MRreviewer = "Michael M. Dediu",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://docserver.carma.newcastle.edu.au/1436/;
http://www.ams.org/notices/201307/rnoti-p844.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:EFS,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall and Michael G. Rose",
title = "Expectations on fractal sets",
journal = j-APPL-MATH-COMP,
volume = "220",
number = "??",
pages = "695--721",
day = "1",
month = sep,
year = "2013",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2013.06.078",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "28A80 (60G18 60G50)",
MRnumber = "3091892",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1454/;
http://www.sciencedirect.com/science/article/pii/S0096300313007273",
abstract = "Using fractal self-similarity and
functional-expectation relations, the classical theory
of box integrals -- being expectations on unit
hypercubes -- is extended to a class of fractal
``string-generated Cantor sets'' (SCSs) embedded in
unit hypercubes of arbitrary dimension. Motivated by
laboratory studies on the distribution of brain
synapses, these SCSs were designed for dimensional
freedom -- a suitable choice of generating string
allows for fine-tuning the fractal dimension of the
corresponding set. We also establish closed forms for
certain statistical moments on SCSs, develop a
precision algorithm for high embedding dimensions, and
report various numerical results. The underlying
numerical quadrature issues are in themselves quite
challenging.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
keywords = "Expectations; Fractals; Monte Carlo methods; Numerical
quadrature; Self-similarity",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Unpublished{Bailey:2013:HPA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "High-Precision Arithmetic: Opportunities and
Challenges",
month = aug,
year = "2013",
bibdate = "Tue Aug 16 09:53:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:LSA,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall and I. John Zucker",
title = "Lattice sums arising from the {Poisson} equation",
journal = j-J-PHYS-A-MATH-THEOR,
volume = "46",
number = "11",
pages = "115201",
month = mar,
year = "2013",
CODEN = "JPAMB5",
DOI = "https://doi.org/10.1088/1751-8113/46/11/115201",
ISSN = "1751-8113 (print), 1751-8121 (electronic)",
ISSN-L = "1751-8113",
MRclass = "35J05 (11Y40 35C05)",
MRnumber = "3030150",
bibdate = "Fri Sep 30 09:24:58 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
URL = "http://adsabs.harvard.edu/abs/2013JPhA...46k5201B;
http://docserver.carma.newcastle.edu.au/1458/;
http://iopscience.iop.org/article/10.1088/1751-8113/46/11/115201;
http://stacks.iop.org/1751-8121/46/i=11/a=115201;
http://www.davidhbailey.com/dhbpapers/PoissonLattice.pdf",
abstract = "In recent times, attention has been directed to the
problem of solving the Poisson equation, either in
engineering scenarios (computational) or in regard to
crystal structure (theoretical). Herein we study a
class of lattice sums that amount to Poisson solutions,
namely the $n$-dimensional forms $ \phi_n(r_1, \dots,
r_n) = \frac {1}{\pi^2} \sum_{ m_1, \dots, m_n {\rm
odd}} \frac { e^{ i \pi (m_1 r_1 + \cdots + m_n
r_n)}}{m_1^2 + \cdots + m_n^2} $. \par
By virtue of striking connections with Jacobi $ \thetav
$-function values, we are able to develop new closed
forms for certain values of the coordinates r$_k$, and
extend such analysis to similar lattice sums. A primary
result is that for rational $x$, $y$, the natural
potential $ \phiv_2 (x, y)$ is $ \frac {1}{\pi } \log
A$ where $A$ is an algebraic number. Various extensions
and explicit evaluations are given. Such work is made
possible by number-theoretical analysis, symbolic
computation and experimental mathematics, including
extensive numerical computations using up to
20,000-digit arithmetic.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eid = "115201",
fjournal = "Journal of Physics A: Mathematical and Theoretical",
journal-URL = "http://iopscience.iop.org/1751-8121",
onlinedate = "25 February 2013",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
pagecount = "31",
unique-id = "Bailey:2013:LSA",
}
@InCollection{Bailey:2013:NNP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Normal numbers and pseudorandom generators",
crossref = "Bailey:2013:CAM",
volume = "50",
pages = "1--18",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7621-4_1",
MRclass = "11K16 (11A63 11K45)",
MRnumber = "3108419",
MRreviewer = "John H. Loxton",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Springer Proc. Math. Stat.",
URL = "http://docserver.carma.newcastle.edu.au/1448/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:OSD,
author = "D. H. Bailey and J. M. Borwein and Victoria Stodden",
title = "Opinion: Set the default to ``open''",
journal = j-NAMS,
volume = "60",
number = "6",
pages = "679--680",
month = jun # "\slash " # jul,
year = "2013",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1014",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Sat Aug 13 15:29:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ams.org/notices/201306/rnoti-p679.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Commentary on reproducibility in Computational and
Experimental Mathematics.",
}
@TechReport{Bailey:2013:PDU,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Pi Day is upon us again and we still do not know if Pi
is normal",
type = "Report",
institution = "Lawrence Berkeley National Laboratory and Centre for
Computer Assisted Research Mathematics and its
Applications (CARMA), University of Newcastle",
address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308,
Australia",
pages = "20",
day = "29",
month = may,
year = "2013",
bibdate = "Fri Aug 12 18:29:28 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://www.carma.newcastle.edu.au/jon/pi-monthly.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Unpublished{Bailey:2013:SDRa,
author = "D. H. Bailey and J. Borwein and R. J. LeVeque and W.
Rider and W. Stein and V. Stodden",
title = "Setting the Default to Reproducible. {Report} on the
{ICERM} Workshop: Reproducibility in Computational and
Experimental Mathematics, {December 10--14, 2012}",
month = jan,
year = "2013",
bibdate = "Tue Aug 16 09:54:58 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint in collaboration with the workshop
participants.",
URL = "http://www.carma.newcastle.edu.au/jon/icerm12.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bauschke:2013:MOB,
author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu
Wang and Liangjin Yao",
title = "Monotone operators and ``bigger conjugate''
functions",
journal = j-J-CONVEX-ANAL,
volume = "20",
number = "1",
pages = "143--155",
year = "2013",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "47H05 (47N10 49J53)",
MRnumber = "3086445",
MRreviewer = "Aris Daniilidis",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1477/;
http://www.heldermann.de/JCA/JCA20/JCA201/jca20009.htm",
abstract = "We study a question posed by Stephen Simons in his
2008 monograph involving ``bigger conjugate'' (BC)
functions and the partial infimal convolution. As
Simons demonstrated in his monograph, these function
have been crucial to the understanding and advancement
of the state-of-the-art of harder problems in monotone
operator theory, especially the sum problem. In this
paper, we provide some tools for further analysis of
BC-functions which allow us to answer Simons' problem
in the negative. We are also able to refute a similar
but much harder conjecture which would have generalized
a classical result of Brezis, Crandall and Pazy. Our
work also reinforces the importance of understanding
unbounded skew linear relations to construct monotone
operators with unexpected properties.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "Bauschke:2013:MOB",
}
@Article{Borwein:2013:ACR,
author = "J. M. Borwein and G. Li and L. Yao",
title = "Analysis of the convergence rate for the cyclic
projection algorithm applied to basic semi-algebraic
convex sets",
journal = "ArXiv e-prints",
month = apr,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1304.7965B;
http://docserver.carma.newcastle.edu.au/1508/",
abstract = "In this paper, we study the rate of convergence of the
cyclic projection algorithm applied to finitely many
basic semi-algebraic convex sets. We establish an
explicit convergence rate estimate which relies on the
maximum degree of the polynomials that generate the
basic semi-algebraic convex sets and the dimension of
the underlying space. We achieve our results by
exploiting the algebraic structure of the basic
semi-algebraic convex sets.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1304.7965",
keywords = "Mathematics - Functional Analysis, Mathematics -
Optimization and Control, Primary 41A25, 90C25,
Secondary 41A50, 90C31",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Unpublished{Borwein:2013:C,
author = "J. M. Borwein",
title = "CARMA",
pages = "70--72",
month = jul,
year = "2013",
bibdate = "Sat Aug 13 15:27:06 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "One of a small selected number of researchers featured
in an issue with a focus on ``Mathematics, Statistics,
Numerical and Computational Mathematics,''
International Innovation.",
URL = "http://www.international-innovation-northamerica.com",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The URL domain no longer exists, and the reference
from CV.pdf is uncertain.",
}
@Article{Borwein:2013:CDRa,
author = "J. M. Borwein and M. K. Tam",
title = "A Cyclic {Douglas--Rachford} Iteration Scheme",
journal = "ArXiv e-prints",
month = mar,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1303.1859B;
http://docserver.carma.newcastle.edu.au/1469/",
abstract = "In this paper we present two Douglas--Rachford
inspired iteration schemes which can be applied
directly to $N$-set convex feasibility problems in
Hilbert space. Our main results are weak convergence of
the methods to a point whose nearest point projections
onto each of the $N$ sets coincide. For affine
subspaces, convergence is in norm. Initial results from
numerical experiments, comparing our methods to the
classical (product-space) Douglas--Rachford scheme, are
promising.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1303.1859",
keywords = "Mathematics - Optimization and Control, Mathematics -
Functional Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Borwein:2013:CDRb,
author = "J. M. Borwein and M. K. Tam",
title = "The Cyclic {Douglas--Rachford} Method for Inconsistent
Feasibility Problems",
journal = "ArXiv e-prints",
month = oct,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1310.2195B",
abstract = "We analyse the behaviour of the newly introduced
cyclic Douglas--Rachford algorithm for finding a point
in the intersection of a finite number of closed convex
sets. This work considers the case in which the target
intersection set is possibly empty.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1310.2195",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Borwein:2013:CFW,
author = "Jonathan M. Borwein and Richard E. Crandall",
title = "Closed forms: what they are and why we care",
journal = j-NAMS,
volume = "60",
number = "1",
pages = "50--65",
month = jan,
year = "2013",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti936",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "33F05",
MRnumber = "3052463",
MRreviewer = "Allan J. Mac Leod",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/767/;
http://www.ams.org/notices/201301/rnoti-p50.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:CIL,
author = "Jonathan Borwein and Christopher Maitland and Matthew
Skerritt",
title = "Computation of an improved lower bound to {Giuga}'s
primality conjecture",
journal = j-INTEGERS,
volume = "13",
pages = "Paper No. A67, 14",
year = "2013",
CODEN = "INTEHN",
ISSN = "1553-1732",
MRclass = "11A25",
MRnumber = "3118385",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1511/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Integers. Electronic Journal of Combinatorial Number
Theory",
journal-URL = "http://www.degruyter.com/view/j/integ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:CLB,
author = "Jonathan M. Borwein and Matthew Skerritt and
Christopher Maitland",
title = "Computation of a lower bound to {Giuga}'s primality
conjecture",
journal = j-INTEGERS,
volume = "13",
number = "??",
pages = "??--??",
month = "????",
year = "2013",
CODEN = "INTEHN",
DOI = "",
ISSN = "1867-0652 (print), 1867-0660 (electronic)",
bibdate = "Fri Aug 12 08:29:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1511/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Integers",
journal-URL = "http://www.degruyter.com/view/j/integ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "I cannot find this online; it seems that no volumes
after v12n6 has been published.",
}
@InCollection{Borwein:2013:EWC,
author = "Jonathan Borwein and Michael Rose",
title = "Explainer: what is Chaos Theory",
crossref = "Tressider:2013:EDV",
pages = "??--??",
year = "2013",
bibdate = "Sat Aug 13 15:19:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/explainer-what-is-chaos-theory-10620",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Book{Borwein:2013:LST,
author = "J. M. Borwein and M. L. Glasser and R. C. McPhedran
and J. G. Wan and I. J. Zucker",
title = "Lattice Sums: Then and Now",
volume = "150",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xx + 368",
year = "2013",
DOI = "https://doi.org/10.1017/CBO9781139626804",
ISBN = "1-107-03990-8",
ISBN-13 = "978-1-107-03990-2",
MRclass = "11Mxx (11H06 11K99 11Lxx 11P21 82D25)",
MRnumber = "3135109",
MRreviewer = "S. L. Kalla",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "With a foreword by Helaman Ferguson and Claire
Ferguson.",
series = "Encyclopedia of Mathematics and its Applications",
URL = "http://ebooks.cambridge.org/ebook.jsf?bid=CBO9781139626804",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
tableofcontents = "Frontmatter / i--iv \\
Dedication / v--vi \\
Contents / vii--x \\
Foreword by Helaman and Claire Ferguson / xi--xvi \\
Preface / xvii--xx \\
1: Lattice sums / 1--86 \\
2: Convergence of lattice sums and Madelung's constant
/ 87--124 \\
3: Angular lattice sums / 125--156 \\
4: Use of Dirichlet series with complex characters /
157--185 \\
5: Lattice sums and Ramanujan's modular equations /
186--201 \\
6: Closed-form evaluations of three- and
four-dimensional sums / 202--225 \\
7: Electron sums / 226--246 \\
8: Madelung sums in higher dimensions / 247--293 \\
9: Seventy years of the Watson integrals / 294--323 \\
Appendix / 324--349 \\
References / 350--363 \\
Index / 364--368",
}
@Article{Borwein:2013:LSW,
author = "D. Borwein and J. M. Borwein and A. Straub",
title = "On lattice sums and {Wigner} limits",
journal = "ArXiv e-prints",
month = oct,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1310.1423B;
http://docserver.carma.newcastle.edu.au/1509/",
abstract = "Wigner limits are given formally as the difference
between a lattice sum, associated to a positive
definite quadratic form, and a corresponding multiple
integral. To define these limits, which arose in work
of Wigner on the energy of static electron lattices, in
a mathematically rigorous way one commonly truncates
the lattice sum and the corresponding integral and
takes the limit along expanding hypercubes or other
regular geometric shapes. We generalize the known
mathematically rigorous two and three dimensional
results regarding Wigner limits, as laid down in
[Analysis of certain lattice sums, D. Borwein, J. M.
Borwein, and R. Shail, 1989], to integer lattices of
arbitrary dimension. In doing so, we also resolve a
problem posed in Chapter 7 of [Lattice Sums: Then and
Now, J. M. Borwein, L. Glasser, R. McPhedran, J. G.
Wan, and I. J. Zucker, 2013]. For the sake of clarity,
we begin by considering the simpler case of cubic
lattice sums first, before treating the case of
arbitrary quadratic forms. We also consider limits
taken along expanding hyperballs with respect to
general norms, and connect with classical topics such
as Gauss's circle problem. An appendix is included to
recall certain properties of Epstein zeta functions
that are either used in the paper or serve to provide
perspective.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1310.1423",
keywords = "Mathematical Physics, Mathematics - Classical Analysis
and ODEs, Mathematics - Number Theory",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
primaryclass = "math-ph",
}
@Article{Borwein:2013:MMS,
author = "Jonathan M. Borwein and Armin Straub",
title = "{Mahler} measures, short walks and log-sine
integrals",
journal = j-THEOR-COMP-SCI,
volume = "479",
pages = "4--21",
year = "2013",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2012.10.025",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
MRclass = "11R06 (11M32 33E20 60G50 68W30)",
MRnumber = "3034554",
MRreviewer = "Kevin G. Hare",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Symbolic-Numerical Algorithms.",
URL = "http://docserver.carma.newcastle.edu.au/1383/;
http://www.sciencedirect.com/science/article/pii/S0304397512009462",
abstract = "The Mahler measure of a polynomial in several
variables has been a subject of much study over the
past thirty years --- very few closed forms are proven
but more are conjectured. In the case of multiple
Mahler measures more tractable but interesting families
exist. Using values of log-sine integrals we provide
systematic evaluations of various higher and multiple
Mahler measures. The evaluations in terms of log-sine
integrals become particularly useful in light of the
fact that log-sine integrals may be automatically
reexpressed as polylogarithmic values. We present this
correspondence along with related generating functions
for log-sine integrals. Our initial interest in
considering Mahler measures stems from a study of
uniform random walks in the plane as first introduced
by Pearson. The main results on the moments of the
distance traveled by an n -step walk, as well as the
corresponding probability density functions, are
reviewed. It is the derivative values of the moments
that are Mahler measures. This work would be impossible
without very extensive symbolic and numeric
computations. It also makes frequent use of the new
NIST Handbook of Mathematical Functions and similar
tools. Our intention is to show off the interplay
between numeric and symbolic computing while exploring
the three mathematical topics in the title.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
}
@InCollection{Borwein:2013:MOE,
author = "Jonathan M. Borwein and Regina S. Burachik and
Liangjin Yao",
title = "Monotone operators without enlargements",
crossref = "Bailey:2013:CAM",
volume = "50",
pages = "79--103",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7621-4_5",
MRclass = "47H05",
MRnumber = "3108423",
MRreviewer = "Heinz H. Bauschke",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Proc. Math. Stat.",
URL = "http://docserver.carma.newcastle.edu.au/1447/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Burachik, Regina/0000-0003-1332-6213; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:MSM,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Maximality of the sum of a maximally monotone linear
relation and a maximally monotone operator",
journal = j-SET-VALUED-VAR-ANAL,
volume = "21",
number = "4",
pages = "603--616",
year = "2013",
DOI = "https://doi.org/10.1007/s11228-013-0259-y",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
MRclass = "47H05 (47A05 47B65 90C25)",
MRnumber = "3134450",
MRreviewer = "Radu Ioan Bo{\c{t}}",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1212.4266;
http://docserver.carma.newcastle.edu.au/1483/",
abstract = "The most famous open problem in Monotone Operator
Theory concerns the maximal monotonicity of the sum of
two maximally monotone operators provided that
Rockafellar's constraint qualification holds. In this
paper, we prove the maximal monotonicity of A + B
provided that A, B are maximally monotone and A is a
linear relation, as soon as Rockafellar's constraint
qualification holds: . Moreover, A + B is of type
(FPV).",
acknowledgement = ack-nhfb,
ajournal = "Set-Valued Var. Anal.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2013:MSM",
}
@Article{Borwein:2013:NCR,
author = "J. M. Borwein and B. Sims and M. K. Tam",
title = "Norm Convergence of Realistic Projection and
Reflection Methods",
journal = "ArXiv e-prints",
month = dec,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1312.7323B;
http://docserver.carma.newcastle.edu.au/1493/",
abstract = "We provide sufficient conditions for norm convergence
of various projection and reflection methods, as well
as giving limiting examples regarding convergence
rates.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1312.7323",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Borwein:2013:STMa,
author = "J. M. Borwein and L. Yao",
title = "Sum theorems for maximally monotone operators of type
({FPV})",
journal = "ArXiv e-prints",
month = may,
year = "2013",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2013arXiv1305.6691B;
http://docserver.carma.newcastle.edu.au/1503/",
abstract = "The most important open problem in Monotone Operator
Theory concerns the maximal monotonicity of the sum of
two maximally monotone operators provided that the
classical Rockafellar's constraint qualification holds.
In this paper, we establish the maximal monotonicity of
$ A + B $ provided that $A$ and $B$ are maximally
monotone operators such that $ \sta (\dom A) \cap \inte
\dom B \neq \varnothing $, and $A$ is of type (FPV). We
show that when also $ \dom A$ is convex, the sum
operator: $ A + B$ is also of type (FPV). Our result
generalizes and unifies several recent sum theorems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1305.6691",
keywords = "Mathematics - Functional Analysis, Primary 47H05,
Secondary 49N15, 52A41, 90C25",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
}
@Article{Borwein:2013:STMb,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Structure theory for maximally monotone operators with
points of continuity",
journal = j-J-OPT-THEORY-APPL,
volume = "157",
number = "1",
pages = "1--24",
year = "2013",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-012-0162-y",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "47H05 (46N10)",
MRnumber = "3034040",
MRreviewer = "Radu Ioan Bo{\c{t}}",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1203.1101;
http://docserver.carma.newcastle.edu.au/1375/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:TSF,
author = "Jonathan M. Borwein and Armin Straub and James Wan",
title = "Three-Step and Four-Step Random Walk Integrals",
journal = j-EXP-MATH,
volume = "22",
number = "1",
pages = "1--14",
year = "2013",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2013.748379",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "60G50 (33C20 33E05)",
MRnumber = "3038778",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/763/",
abstract = "We investigate the moments of 3-step and 4-step
uniform random walks in the plane. In particular, we
further analyze a formula conjectured in [Borwein etal.
11] expressing 4-step moments in terms of 3-step
moments. Diverse related results including
hypergeometric and elliptic closed forms for W-4(+/- 1)
are given, and two new conjectures are recorded.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "Borwein:2013:TSF",
}
@Article{Borwein:2013:VMP,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Variational methods in the presence of symmetry",
journal = j-ADV-NONLINEAR-ANAL,
volume = "2",
number = "3",
pages = "271--307",
year = "2013",
DOI = "https://doi.org/10.1515/anona-2013-1001",
ISSN = "2191-9496 (print), 2191-950X (electronic)",
ISSN-L = "2191-9496",
MRclass = "49J53 (58E30)",
MRnumber = "3089743",
MRreviewer = "Nicolas Hadjisavvas",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1514/",
abstract = "The purpose of this paper is to survey and to provide
a unified framework to connect a diverse group of
results, currently scattered in the literature, that
can be usefully viewed as consequences of applying
variational methods to problems involving symmetry.
Here, variational methods refer to mathematical
treatment by way of constructing an appropriate action
function whose critical points-or saddle
points-correspond to or contain the desired
solutions.",
acknowledgement = ack-nhfb,
ajournal = "Adv. Nonlinear Anal.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Advances in Nonlinear Analysis",
journal-URL = "http://www.degruyter.com/view/j/anona",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "Borwein:2013:VMP",
}
@InProceedings{Piantadosi:2013:GSR,
author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein
and John Henstridge",
title = "Generation of simulated rainfall data at different
time-scales",
crossref = "Bean:2013:MDM",
pages = "??--??",
year = "2013",
bibdate = "Sat Aug 13 15:52:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1381/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
}
@TechReport{Piantadosi:2013:MSS,
author = "Julia Piantadosi and Phil Howlett and Jonathan
Borwein",
title = "Modelling and simulation of seasonal rainfall",
type = "Report",
institution = "MODSIM/ASOR",
address = "Adelaide, SA, Australia",
pages = "??",
month = dec,
year = "2013",
bibdate = "Sat Aug 13 15:15:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1453/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Australian Society for Operations Research (ASOR)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
}
@Article{Stodden:2013:SDR,
author = "Victoria Stodden and Jonathan Borwein and David H.
Bailey",
title = "``{Setting} the Default to Reproducible'' in
Computational Science Research",
journal = j-SIAM-NEWS,
volume = "46",
number = "5",
pages = "4--6",
month = jun,
year = "2013",
ISSN = "0036-1437",
ISSN-L = "0036-1437",
bibdate = "Fri Sep 02 07:29:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://sinews2.siam.org/DetailsPage/tabid/607/ArticleID/351/%E2%80%9CSetting-the-Default-to-Reproducible%E2%80%9D-in-Computational-Science-Research.aspx",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{AragonArtacho:2014:ACA,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein and Victoria Mart{\'{\i}}n-M{\'a}rquez and
Liangjin Yao",
title = "Applications of convex analysis within mathematics",
journal = j-MATH-PROG,
volume = "148",
number = "1--2",
pages = "49--88",
month = dec,
year = "2014",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/s10107-013-0707-3",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
ISSN-L = "0025-5610",
MRclass = "47N10 (47A06 47B65 47H05 90C25)",
MRnumber = "3274845",
MRreviewer = "Aris Daniilidis",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special volume of Serdica Mathematical Journal in
honour of Asen Dontchev.",
URL = "http://arxiv.org/abs/1302.1978;
http://docserver.carma.newcastle.edu.au/1513/",
abstract = "In this paper, we study convex analysis and its
theoretical applications. We first apply important
tools of convex analysis to Optimization and to
Analysis. We then show various deep applications of
convex analysis and especially infimal convolution in
Monotone Operator Theory. Among other things, we
recapture the Minty surjectivity theorem in Hilbert
space, and present a new proof of the sum theorem in
reflexive spaces. More technically, we also discuss
autoconjugate representers for maximally monotone
operators. Finally, we consider various other
applications in mathematical analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming. A Publication of the
Mathematical Optimization Society",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646; Martin Marquez,
Victoria/0000-0002-8963-9825",
researcherid-numbers = "Martin-Marquez, Victoria/H-1047-2015; Aragon
Artacho, Francisco Javier/C-2531-2012",
unique-id = "ISI:000344809700003",
}
@Article{AragonArtacho:2014:DRF,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein and Matthew K. Tam",
title = "{Douglas--Rachford} Feasibility Methods for Matrix
Completion Problems",
journal = j-ANZIAM-J,
volume = "55",
number = "4",
pages = "299--326",
month = apr,
year = "2014",
CODEN = "AJNOA2",
DOI = "https://doi.org/10.1017/S1446181114000145",
ISSN = "1446-1811 (print), 1446-8735 (electronic)",
ISSN-L = "1446-1811",
MRclass = "47J25 (15A83 65K05 90C59)",
MRnumber = "3257300",
MRreviewer = "Heinz H. Bauschke",
bibdate = "Fri Sep 30 10:50:24 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
URL = "http://arxiv.org/abs/1308.4243;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9347336;
https://www.cambridge.org/core/journals/anziam-journal/article/douglasrachford-feasibility-methods-for-matrix-completion-problems/0DCB430BF7CF1187A7A1DB5B9C3C2BCC",
abstract = "In this paper, we give general recommendations for
successful application of the Douglas--Rachford
reflection method to convex and nonconvex real matrix
completion problems. These guidelines are demonstrated
by various illustrative examples.",
acknowledgement = ack-nhfb,
ajournal = "ANZIAM J.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The ANZIAM Journal. The Australian \& New Zealand
Industrial and Applied Mathematics Journal",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
onlinedate = "25 July 2014",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Aragon Artacho, Francisco Javier/C-2531-2012;
Tam, Matthew/G-8127-2013",
unique-id = "ISI:000343750400001",
}
@Article{AragonArtacho:2014:RRD,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein and Matthew K. Tam",
title = "Recent Results on {Douglas--Rachford} Methods for
Combinatorial Optimization Problems",
journal = j-J-OPT-THEORY-APPL,
volume = "163",
number = "1",
pages = "1--30",
month = oct,
year = "2014",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-013-0488-0",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "47J25 (90C27)",
MRnumber = "3260973",
MRreviewer = "Heinz H. Bauschke",
bibdate = "Fri Aug 12 08:22:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1305.2657;
http://docserver.carma.newcastle.edu.au/1510/",
abstract = "We discuss recent positive experiences applying convex
feasibility algorithms of Douglas--Rachford type to
highly combinatorial and far from convex problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Aragon Artacho, Francisco Javier/C-2531-2012;
Tam, Matthew/G-8127-2013",
unique-id = "ISI:000342442600001",
}
@Article{Bailey:2014:ASL,
author = "David H. Bailey and Jonathan M. Borwein and Alexander
D. Kaiser",
title = "Automated simplification of large symbolic
expressions",
journal = j-J-SYMBOLIC-COMP,
volume = "60",
number = "??",
pages = "120--136",
year = "2014",
CODEN = "JSYCEH",
DOI = "https://doi.org/10.1016/j.jsc.2013.09.001",
ISSN = "0747-7171 (print), 1095-855x (electronic)",
ISSN-L = "0747-7171",
MRclass = "68W30",
MRnumber = "3131383",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
URL = "http://docserver.carma.newcastle.edu.au/1456/;
http://www.sciencedirect.com/science/article/pii/S074771711300117X",
abstract = "We present a set of algorithms for automated
simplification of symbolic constants of the form $
\sum_i \alpha_i x_i $ with $ \alpha_i $ rational and $
x_i $ complex. The included algorithms, called
SimplifySum (available from
\url{https://github.com/alexkaiser/SimplifySum}), and
implemented in Mathematica, remove redundant terms,
attempt to make terms and the full expression real, and
remove terms using repeated application of the
multipair PSLQ integer relation detection algorithm.
Also included are facilities for making substitutions
according to user-specified identities. We illustrate
this toolset by giving some real-world examples of its
usage, including one, for instance, where the tool
reduced a symbolic expression of approximately 100\,000
characters in size enough to enable manual manipulation
to one with just four simple terms.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Computer algebra systems; Error correction;
Experimental mathematics; Simplification",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000328661000009",
}
@Article{Bailey:2014:CTE,
author = "David H. Bailey and Jonathan M. Borwein and Richard E.
Crandall",
title = "Computation and theory of extended
{Mordell--Tornheim--Witten} sums",
journal = j-MATH-COMPUT,
volume = "83",
number = "288",
pages = "1795--1821",
month = jul,
year = "2014",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-2014-02768-3",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33B15 (11M32 33F05 65D20 65D30)",
MRnumber = "3194130",
MRreviewer = "Mehdi Hassani",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://www.ams.org/mcom/2014-83-288;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "http://docserver.carma.newcastle.edu.au/1459/;
http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3;
http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3/S0025-5718-2014-02768-3.pdf",
abstract = "We consider some fundamental generalized
Mordell--Tornheim--Witten (MTW) zeta-function values
along with their derivatives, and explore connections
with multiple-zeta values (MZVs). To achieve this, we
make use of symbolic integration, high precision
numerical integration, and some interesting
combinatorics and special-function theory. Our original
motivation was to represent unresolved constructs such
as Eulerian log-gamma integrals. We are able to resolve
all such integrals in terms of an MTW basis. We also
present, for a substantial subset of MTW values,
explicit closed-form expressions. In the process, we
significantly extend methods for high-precision
numerical computation of polylogarithms and their
derivatives with respect to order.",
acknowledgement = ack-nhfb,
article-number = "PII S 0025-5718(2014)02768-3",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000337230000010",
}
@Article{Bailey:2014:IWS,
author = "D. H. Bailey and J. M. Borwein",
title = "{ICERM Workshop} Sets Out Opportunities and Challenges
in Experimental Mathematics",
journal = j-SIAM-NEWS,
volume = "47",
number = "9",
pages = "4, 8",
month = "????",
year = "2014",
DOI = "",
ISSN = "0036-1437",
ISSN-L = "0036-1437",
bibdate = "Sat Aug 13 13:56:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/icerm-summ.pdf;
https://sinews.siam.org/Portals/Sinews2/Issue%20Pdfs/sn_November2014.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2014:OCC,
author = "David H. Bailey and Jonathan M. Borwein and Olga
Caprotti and Ursula Martin and Bruno Salvy and Michela
Taufer",
title = "Opportunities and Challenges in 21st Century
Mathematical Computation: {ICERM} Workshop Report,
{July 10--14, 2014}",
institution = "????",
address = "????",
pages = "18",
day = "28",
month = aug,
year = "2014",
bibdate = "Tue Aug 16 09:53:29 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint in collaboration with the workshop
participants.",
URL = "http://www.davidhbailey.com/dhbpapers/ICERM-2014.pdf",
abstract = "``Experimental mathematics'' has emerged in the past
25 years or so to become a competitive paradigm for
research in the mathematical sciences. A workshop held
at the Institute for Computational and Experimental
Research in Mathematics (ICERM), July 21--25, 2014,
explored emerging challenges of experimental
mathematics in the rapidly changing era of modern
computer technology. This report summarizes the
workshop findings",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646; Salvy,
Bruno/0000-0002-4313-0679",
}
@Article{Bailey:2014:PDUa,
author = "David H. Bailey and Jonathan Borwein",
title = "{Pi Day} Is Upon Us Again and We Still Do Not Know if
Pi Is Normal",
journal = j-AMER-MATH-MONTHLY,
volume = "121",
number = "3",
pages = "191--206",
month = mar,
year = "2014",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.121.03.191",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11K16 (11A63)",
MRnumber = "3168990",
MRreviewer = "Manfred G. Madritsch",
bibdate = "Tue Mar 4 06:16:50 MST 2014",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/10.4169/amermathmont.121.issue-03;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "Chinese translation in Mathematical Advances in
Translation (Chinese Academy of Science) [metadata
unknown].",
URL = "https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.121.03.191.pdf",
abstract = "The digits of pi have intrigued both the public and
research mathematicians from the beginning of time.
This article briefly reviews the history of this
venerable constant, and then describes some recent
research on the question of whether pi is normal, or,
in other words,. whether its digits are statistically
random in a specific sense.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000332922000001",
}
@Article{Bailey:2014:PDUb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Pi Day} is upon us again, and we still do not know if
pi is normal",
journal = "Mathematical Advances of Translation",
volume = "33",
number = "??",
pages = "222--235",
month = "????",
year = "2014",
bibdate = "Fri Sep 30 08:59:40 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Chinese translation of \cite{Bailey:2014:PDUa}.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
language = "Chinese",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "TO DO: Find ISSN of this journal; it is not found in
major library catalogs.",
}
@Article{Bailey:2014:PMFb,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Qiji Jim Zhu",
title = "Pseudo-mathematics and financial charlatanism: the
effects of backtest overfitting on out-of-sample
performance",
journal = j-NAMS,
volume = "61",
number = "5",
pages = "458--471",
month = may,
year = "2014",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1105",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "91G70 (62P05 91G80)",
MRnumber = "3203237",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1506/;
http://www.ams.org/notices/201405/rnoti-p458.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:RTP,
author = "D. H. Bailey and J. M. Borwein",
title = "The recent trademarking of Pi: a troubling precedent",
journal = j-NAMS,
volume = "61",
number = "10",
pages = "121--124",
month = nov,
year = "2014",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1172",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Fri Aug 12 07:48:44 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/id/eprint/1501;
http://www.ams.org/notices/201410/rnoti-p1224.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:ACR,
author = "Jonathan M. Borwein and Guoyin Li and Liangjin Yao",
title = "Analysis of the convergence rate for the cyclic
projection algorithm applied to basic semialgebraic
convex sets",
journal = j-SIAM-J-OPT,
volume = "24",
number = "1",
pages = "498--527",
year = "2014",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/130919052",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "47J25 (90C25 90C31)",
MRnumber = "3180867",
MRreviewer = "Francisco J. Arag{\'o}n Artacho",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1304.7965;
http://docserver.carma.newcastle.edu.au/1508/",
abstract = "In this paper, we study the rate of convergence of the
cyclic projection algorithm applied to finitely many
basic semialgebraic convex sets. We establish an
explicit convergence rate estimate which relies on the
maximum degree of the polynomials that generate the
basic semialgebraic convex sets and the dimension of
the underlying space. We achieve our results by
exploiting the algebraic structure of the basic
semialgebraic convex sets.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Li,
Guoyin/0000-0002-2099-7974",
researcherid-numbers = "Li, Guoyin/B-7866-2009",
unique-id = "ISI:000333761700020",
}
@Article{Borwein:2014:CDR,
author = "Jonathan M. Borwein and Matthew K. Tam",
title = "A cyclic {Douglas--Rachford} iteration scheme",
journal = j-J-OPT-THEORY-APPL,
volume = "160",
number = "1",
pages = "1--29",
year = "2014",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-013-0381-x",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "47J25 (90C25 90C48)",
MRnumber = "3149115",
MRreviewer = "Francisco J. Arag{\'o}n Artacho",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1303.1859;
http://docserver.carma.newcastle.edu.au/1469/",
abstract = "In this paper, we present two Douglas--Rachford
inspired iteration schemes which can be applied
directly to N-set convex feasibility problems in
Hilbert space. Our main results are weak convergence of
the methods to a point whose nearest point projections
onto each of the N sets coincide. For affine subspaces,
convergence is in norm. Initial results from numerical
experiments, comparing our methods to the classical
(product-space) Douglas--Rachford scheme, are
promising.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Tam, Matthew/G-8127-2013",
unique-id = "ISI:000330586300001",
}
@Article{Borwein:2014:CZD,
author = "Jonathan M. Borwein and Regina S. Burachik and
Liangjin Yao",
title = "Conditions for zero duality gap in convex
programming",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "15",
number = "1",
pages = "167--190",
year = "2014",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "49J52 (49N15 90C25 90C46)",
MRnumber = "3184756",
MRreviewer = "Rafa{\l} K. Goebel",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1211.49533;
http://docserver.carma.newcastle.edu.au/1465/",
abstract = "We introduce and study a new dual condition which
characterizes zero duality gap in nonsmooth convex
optimization. We prove that our condition is less
restrictive than all existing constraint
qualifications, including the closed epigraph
condition. Our dual condition was inspired by, and is
less restrictive than, the so-called Bertsekas'
condition for monotropic programming problems. We give
several corollaries of our result and special cases as
applications. We pay special attention to the
polyhedral and sublinear cases, and their implications
in convex optimization.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Burachik,
Regina/0000-0003-1332-6213",
researcherid-numbers = "Burachik, Regina/A-9859-2008",
unique-id = "ISI:000331342600012",
}
@Article{Borwein:2014:DNS,
author = "David Borwein and Jonathan Borwein",
title = "Deriving New Sinc Results from Old",
journal = j-AMER-MATH-MONTHLY,
volume = "121",
number = "8",
pages = "700--705",
month = oct,
year = "2014",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.121.08.700",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "52A38 (33B10 42A99 51M25)",
MRnumber = "3318479",
MRreviewer = "Victor V. Pambuccian",
bibdate = "Fri Feb 13 16:59:49 MST 2015",
bibsource = "https://www.jstor.org/stable/10.4169/amermathmont.121.issue-08;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "http://docserver.carma.newcastle.edu.au/1502/;
https://www.jstor.org/stable/10.4169/amer.math.monthly.121.08.700",
abstract = "From previously established results in [2], we develop
a simple proof of Keith Ball's expression in [1] for
the volume of the intersection of an (n -
1)-dimensional hyperplane with an n-dimensional cube,
as well as a simple proof of the formula given by Frank
and Riede in [5] for that volume.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000343376800004",
}
@InProceedings{Borwein:2014:ECVa,
author = "Jonathan M. Borwein",
title = "Experimental Computation and Visual Theorems",
crossref = "Hong:2014:MSI",
pages = "1--8",
year = "2014",
DOI = "https://doi.org/10.1007/978-3-662-44199-2_1",
MRclass = "46-02 (65-02 68U01)",
MRnumber = "3334735",
MRreviewer = "Matti Vuorinen",
bibdate = "Sat Aug 13 13:54:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2014:LAE,
author = "Jonathan M. Borwein",
title = "The Life of $ \pi $: From {Archimedes} to {ENIAC} and
Beyond",
crossref = "Sidoli:2014:ATB",
pages = "531--561",
year = "2014",
DOI = "https://doi.org/10.1007/978-3-642-36736-6_24",
MRclass = "01A20 (11Y60)",
MRnumber = "3203895",
MRreviewer = "Leo Corry",
bibdate = "Sat Aug 13 15:11:22 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Extended and updated version of
\cite{Borwein:2008:VPG}.",
URL = "http://www.carma.newcastle.edu.au/~jb616/pi-2010.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:LKMa,
author = "Jonathan M. Borwein and Yann Bugeaud and Michael
Coons",
title = "The legacy of {Kurt Mahler}",
journal = j-EUR-MATH-SOC-NEWSL,
volume = "91",
pages = "19--23",
month = mar,
year = "2014",
ISSN = "1027-488X",
ISSN-L = "1027-488X",
MRclass = "01A70",
MRnumber = "3202400",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ems-ph.org/journals/journal.php?jrn=news",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "European Mathematical Society. Newsletter",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxpages = "12--16",
}
@Article{Borwein:2014:LKMb,
author = "Jonathan M. Borwein and Yann Bugeaud and Michael
Coons",
title = "The legacy of {Kurt Mahler}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "41",
number = "1",
pages = "11--21",
month = mar,
year = "2014",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
MRclass = "01A70",
MRnumber = "3221622",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.austms.org.au/Publ/Gazette/2014/Mar14/Mahler.pdf",
ZMnumber = "1308.01014",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Australian Mathematical Society. Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2014:LPA,
author = "Jonathan M. Borwein",
title = "The Life of Pi: From {Archimedes} to {ENIAC} and
Beyond",
crossref = "Sidoli:2014:ATB",
pages = "531--561",
year = "2014",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://docserver.carma.newcastle.edu.au/265/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:LSW,
author = "David Borwein and Jonathan M. Borwein and Armin
Straub",
title = "On lattice sums and {Wigner} limits",
journal = j-J-MATH-ANAL-APPL,
volume = "414",
number = "2",
pages = "489--513",
year = "2014",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2014.01.008",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11D09 (11H06 11L03)",
MRnumber = "3167976",
MRreviewer = "Ross C. McPhedran",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1310.1423;
http://docserver.carma.newcastle.edu.au/1509/;
http://www.sciencedirect.com/science/article/pii/S0022247X14000134",
abstract = "Wigner limits are given formally as the difference
between a lattice sum, associated to a positive
definite quadratic form, and a corresponding multiple
integral. To define these limits, which arose in work
of Wigner on the energy of static electron lattices, in
a mathematically rigorous way one commonly truncates
the lattice sum and the corresponding integral and
takes the limit along expanding hypercubes or other
regular geometric shapes. We generalize the known
mathematically rigorous two- and three-dimensional
results regarding Wigner limits, as laid down in [3],
to integer lattices of arbitrary dimension. In doing
so, we also resolve a problem posed in [6, Chapter 7].
For the sake of clarity, we begin by considering the
simpler case of cubic lattice sums first, before
treating the case of arbitrary quadratic forms. We also
consider limits taken along expanding hyperballs with
respect to general norms, and connect with classical
topics such as Gauss's circle problem. Appendix A is
included to recall certain properties of Epstein zeta
functions that are either used in the paper or serve to
provide perspective.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Analytic continuation; Lattice sums; Wigner electron
sums",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "ISI:000334651500001",
}
@Article{Borwein:2014:LTI,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "{Legendre}-type integrands and convex integral
functions",
journal = j-J-CONVEX-ANAL,
volume = "21",
number = "1",
pages = "261--288",
year = "2014",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "46B20 (47H05 49K10)",
MRnumber = "3235316",
MRreviewer = "Jes{\'u}s Ferrer",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1208.5217;
http://docserver.carma.newcastle.edu.au/1455/;
http://www.heldermann.de/JCA/JCA21/JCA211/jca21015.htm",
abstract = "In this paper, we study the properties of integral
functionals induced on L-E(1)(S, mu) by closed convex
functions on a Euclidean space E. We give sufficient
conditions for such integral functions to be strongly
rotund (well-posed). We show that in this generality
functions such as the Boltzmann-Shannon entropy and the
Fermi-Dirac entropy are strongly rotund. We also study
convergence in measure and give various limiting
counterexamples.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Convex Analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000337215600015",
}
@Article{Borwein:2014:MSS,
author = "Jonathan Borwein and Phil Howlett and Julia
Piantadosi",
title = "Modelling and Simulation of Seasonal Rainfall Using
the Principle of Maximum Entropy",
journal = j-ENTROPY,
volume = "16",
number = "2",
pages = "747--769",
month = feb,
year = "2014",
CODEN = "ENTRFG",
DOI = "https://doi.org/10.3390/e16020747",
ISSN = "1099-4300",
ISSN-L = "1099-4300",
MRclass = "62P12 (62H05)",
MRnumber = "3177597",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2014Entrp..16..747B;
http://docserver.carma.newcastle.edu.au/1507/;
http://www.mdpi.com/1099-4300/16/",
abstract = "We use the principle of maximum entropy to propose a
parsimonious model for the generation of simulated
rainfall during the wettest three-month season at a
typical location on the east coast of Australia. The
model uses a checkerboard copula of maximum entropy to
model the joint probability distribution for total
seasonal rainfall and a set of two-parameter gamma
distributions to model each of the marginal monthly
rainfall totals. The model allows us to match the grade
correlation coefficients for the checkerboard copula to
the observed Spearman rank correlation coefficients for
the monthly rainfalls and, hence, provides a model that
correctly describes the mean and variance for each of
the monthly totals and also for the overall seasonal
total. Thus, we avoid the need for a posteriori
adjustment of simulated monthly totals in order to
correctly simulate the observed seasonal statistics.
Detailed results are presented for the modelling and
simulation of seasonal rainfall in the town of Kempsey
on the mid-north coast of New South Wales. Empirical
evidence from extensive simulations is used to validate
this application of the model. A similar analysis for
Sydney is also described.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Entropy",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
unique-id = "ISI:000334246400007",
}
@Book{Borwein:2014:NFI,
author = "Jonathan M. Borwein and Alfred Jacobus van der Poorten
and Jeffrey Outlaw Shallit and Wadim Zudilin",
title = "Neverending Fractions: an Introduction to Continued
Fractions",
volume = "23",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "x + 212",
year = "2014",
DOI = "https://doi.org/10.1017/CBO9780511902659",
ISBN = "0-521-18649-8",
ISBN-13 = "978-0-521-18649-0",
LCCN = "QA295 .B667 2014",
MRclass = "11A55 (11J70 40-01 40A15)",
MRnumber = "3468515",
bibdate = "Thu Jun 12 08:53:05 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
series = "Australian Mathematical Society lecture series",
URL = "http://docserver.carma.newcastle.edu.au/1722/;
http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511902659",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Zudilin,
Wadim/0000-0001-9551-2903",
subject = "Continued fractions; Processes, Infinite; Fractions",
tableofcontents = "Preface \\
1. Some preliminaries from number theory \\
2. Continued fractions, as they are \\
3. Metric theory of continued fractions \\
4. Quadratic irrationals through a magnifier \\
5. Hyperelliptic curves and Somos sequences \\
6. From folding to Fibonacci \\
7. The integer part of $q \alpha + \beta$ \\
8. The Erd{\H{o}}s--Moser equation \\
9. Irregular continued fractions \\
Appendix. Selected continued fractions \\
Bibliography \\
Index",
}
@InProceedings{Borwein:2014:RMIa,
author = "J. M. Borwein and M. K. Tam",
booktitle = "{CIMPA school Generalized Nash Equilibrium Problems,
Bilevel programming and MPEC New Delhi, India, December
2012}",
title = "Reflection methods for inverse problems with
applications to protein conformation determination",
publisher = "????",
address = "????",
pages = "??--??",
year = "2014",
DOI = "",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Fri Aug 12 18:37:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1678/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:RMIb,
author = "J. M. Borwein and M. K. Tam",
title = "Reflection methods for inverse problems with
application to protein conformation determination",
journal = "ArXiv e-prints",
month = aug,
year = "2014",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2014arXiv1408.4213B;
http://docserver.carma.newcastle.edu.au/1678/",
abstract = "The Douglas--Rachford reflection method is a general
purpose algorithm useful for solving the feasibility
problem of finding a point in the intersection of
finitely many sets. In this chapter we demonstrate that
applied to a specific problem, the method can benefit
from heuristics specific to said problem which exploit
its special structure. In particular, we focus on the
problem of protein conformation determination
formulated within the framework of matrix completion,
as was considered in a recent paper of the present
authors.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1408.4213",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Borwein:2014:ROM,
author = "J. M. Borwein and Brailey Sims",
title = "Review of {{\booktitle{Origins of Mathematical Words:
A Comprehensive Dictionary of Latin, Greek and Arabic
Roots}} by Anthony lo Bello. The John Hopkins
University Press, 2013}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "41",
number = "2",
pages = "116--118",
month = may,
year = "2014",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
bibdate = "Tue Aug 16 09:16:30 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.austms.org.au/Publ/Gazette/2014/May14/BkRev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Aust. Math. Soc. Gaz.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Australian Mathematical Society Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:SLM,
author = "David Borwein and Jonathan M. Borwein and Brailey
Sims",
title = "On the Solution of Linear Mean Recurrences",
journal = j-AMER-MATH-MONTHLY,
volume = "121",
number = "6",
pages = "486--498",
month = jun # "\slash " # jul,
year = "2014",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.121.06.486",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "39B12 (15B51 65Q30)",
MRnumber = "3225456",
bibdate = "Wed Sep 10 09:38:03 MDT 2014",
bibsource = "https://www.jstor.org/stable/10.4169/amermathmont.121.issue-06;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "http://docserver.carma.newcastle.edu.au/1505/;
https://www.jstor.org/stable/10.4169",
abstract = "Motivated by questions of algorithm analysis, we
provide several distinct approaches to determining
convergence and limit values for a class of linear
iterations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000337330700002",
}
@Article{Borwein:2014:SRC,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Some results on the convexity of the closure of the
domain of a maximally monotone operator",
journal = j-OPTIM-LETT,
volume = "8",
number = "1",
pages = "237--246",
year = "2014",
DOI = "https://doi.org/10.1007/s11590-012-0564-7",
ISSN = "1862-4472 (print), 1862-4480 (electronic)",
ISSN-L = "1862-4472",
MRclass = "47H05 (26B25 47B65)",
MRnumber = "3152913",
MRreviewer = "Aris Daniilidis",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1205.4482;
http://docserver.carma.newcastle.edu.au/1373/",
abstract = "We provide a concise analysis about what is known
regarding when the closure of the domain of a maximally
monotone operator on an arbitrary real Banach space is
convex. In doing so, we also provide an affirmative
answer to a problem posed by Simons.",
acknowledgement = ack-nhfb,
ajournal = "Optim. Lett.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization Letters",
journal-URL = "http://link.springer.com/journal/11590",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000330434600019",
}
@Article{Borwein:2014:STMa,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Sum theorems for maximally monotone operators of type
({FPV})",
journal = j-J-AUSTRAL-MATH-SOC,
volume = "97",
number = "1",
pages = "1--26",
year = "2014",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/S1446788714000056",
ISSN = "1446-7887 (print), 1446-8107 (electronic)",
ISSN-L = "1446-7887",
MRclass = "47H05 (49J53 90C25 90C48)",
MRnumber = "3233391",
MRreviewer = "Radu Ioan Bo{\c{t}}",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1305.6691;
http://docserver.carma.newcastle.edu.au/1503/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9306990",
abstract = "The most important open problem in monotone operator
theory concerns the maximal monotonicity of the sum of
two maximally monotone operators provided that the
classical Rockafellar's constraint qualification holds.
In this paper, we establish the maximal monotonicity of
A + B provided that A and B are maximally monotone
operators such that star(dom A) boolean AND int dom B
not equal phi, and A is of type (FPV). We show that
when also dom A is convex, the sum operator A + B is
also of type (FPV). Our result generalizes and unifies
several recent sum theorems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000343185700001",
}
@Article{James:2014:STR,
author = "D. James and N. Wilkins-Diehr and V. Stodden and D.
Colbry and C. Rosales and M. Fahey and J. Shi and R. F.
Silva and K. Lee and R. Roskies and L. Loewe and S.
Lindsey and R. Kooper and L. Barba and D. Bailey and J.
Borwein and O. Corcho and E. Deelman and M. Dietze and
B. Gilbert and J. Harkes and S. Keele and P. Kumar and
J. Lee and E. Linke and R. Marciano and L. Marini and
C. Mattman and D. Mattson and K. McHenry and R. McLay
and S. Miguez and B. Minsker and M. Perez-Hernandez and
D. Ryan and M. Rynge and I. Santana-Perez and M.
Satyanarayanan and G. {St.Clair} and K. Webster and E.
Hovig and D. S. Katz and S. Kay and G. Sandve and D.
Skinner and G. Allen and J. Cazes and K. W. Cho and J.
Fonseca and L. Hwang and L. Koesterke and P. Patel and
L. Pouchard and E. Seidel and I. Suriarachchi",
title = "Standing Together for Reproducibility in Large-Scale
Computing: Report on {reproducibility@XSEDE}",
journal = "ArXiv e-prints",
month = dec,
year = "2014",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2014arXiv1412.5557J",
abstract = "This is the final report on reproducibility@XSEDE, a
one-day workshop held in conjunction with XSEDE14, the
annual conference of the Extreme Science and
Engineering Discovery Environment (XSEDE). The
workshop's discussion-oriented agenda focused on
reproducibility in large-scale computational research.
Two important themes capture the spirit of the workshop
submissions and discussions: (1) organizational
stakeholders, especially supercomputer centers, are in
a unique position to promote, enable, and support
reproducible research; and (2) individual researchers
should conduct each experiment as though someone will
replicate that experiment. Participants documented
numerous issues, questions, technologies, practices,
and potentially promising initiatives emerging from the
discussion, but also highlighted four areas of
particular interest to XSEDE: (1) documentation and
training that promotes reproducible research; (2)
system-level tools that provide build- and run-time
information at the level of the individual job; (3) the
need to model best practices in research collaborations
involving XSEDE staff; and (4) continued work on
gateways and related technologies. In addition, an
intriguing question emerged from the day's
interactions: would there be value in establishing an
annual award for excellence in reproducible research?",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1412.5557",
keywords = "Computer Science - Distributed, Parallel, and Cluster
Computing, 68N01, D.2.9",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
primaryclass = "cs.DC",
}
@Unpublished{Piantadosi:2014:MSS,
author = "Julia Piantadosi and Phil Howlett and Jonathan
Borwein",
title = "Modelling and simulation of seasonal rainfall using
checkerboard copulas of maximum entropy",
year = "2014",
bibdate = "Tue Aug 16 09:36:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted eMathematics and Computers in Simulation
MATCOM, May 2014.",
URL = "http://docserver.carma.newcastle.edu.au/1694/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
}
@Article{AragonArtacho:2015:GBD,
author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K.
Tam",
title = "Global Behavior of the {Douglas--Rachford} Method for
a Nonconvex Feasibility Problem",
journal = "ArXiv e-prints",
month = jun,
year = "2015",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2015arXiv150609026A;
http://docserver.carma.newcastle.edu.au/1701/",
abstract = "In recent times the Douglas--Rachford algorithm has
been observed empirically to solve a variety of
nonconvex feasibility problems including those of a
combinatorial nature. For many of these problems
current theory is not sufficient to explain this
observed success and is mainly concerned with questions
of local convergence. In this paper we analyze global
behavior of the method for finding a point in the
intersection of a half-space and a potentially
non-convex set which is assumed to satisfy a
well-quasi-ordering property or a property weaker than
compactness. In particular, the special case in which
the second set is finite is covered by our framework
and provides a prototypical setting for combinatorial
optimization problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1506.09026",
keywords = "Mathematics - Optimization and Control, 90C26, 65K05",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Bailey:2015:CCI,
author = "D. H. Bailey and J. M. Borwein",
title = "{Crandall}'s computation of the incomplete {Gamma}
function and the {Hurwitz} zeta function, with
applications to {Dirichlet} {$L$}-series",
journal = j-APPL-MATH-COMP,
volume = "268",
number = "??",
pages = "462--477",
day = "1",
month = oct,
year = "2015",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2015.06.048",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "33B30 (11M41 40A25)",
MRnumber = "3399433",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300315008292",
abstract = "This paper extends tools developed by Crandall (2012)
[16] to provide robust, high-precision methods for
computation of the incomplete Gamma function and the
Lerch transcendent. We then apply these to the
corresponding computation of the Hurwitz zeta function
and so of Dirichlet $L$-series and character
polylogarithms.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
keywords = "Character polylogarithms; Dirichlet L-series; Hurwitz
zeta function; Incomplete gamma function; Lerch
transcendent function; Polylogarithms",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000361769000039",
}
@InCollection{Bailey:2015:COG,
author = "D. H. Bailey and J. M. Borwein",
title = "Computation as an ontological game changer: The impact
of modern mathematical computation tools on the
ontology of mathematics",
crossref = "Davis:2015:MSS",
pages = "25--67",
year = "2015",
DOI = "https://doi.org/10.1007/978-3-319-21473-3_3",
bibdate = "Fri Aug 12 18:52:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-319-21473-3_3",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:CTM,
author = "D. H. Bailey and J. M. Borwein",
title = "Computation and theory of {Mordell--Tornheim--Witten}
sums {II}",
journal = j-J-APPROX-THEORY,
volume = "197",
number = "??",
pages = "115--140",
month = sep,
year = "2015",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2014.10.004",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "11M41 (33B30 33F05 65D20)",
MRnumber = "3351543",
MRreviewer = "Mehdi Hassani",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Issue Dedicated to Dick Askey on the occasion
of his 80th birthday.",
URL = "http://docserver.carma.newcastle.edu.au/1494/;
http://www.carma.newcastle.edu.au/jon/MTW2.pdf;
http://www.sciencedirect.com/science/article/pii/S0021904514001841",
abstract = "In Bailey et al. [8] the current authors, along with
the late and much-missed Richard Crandall (1947--2012),
considered generalized Mordell--Tornheim--Witten (MTW)
zeta-function values along with their derivatives, and
explored connections with multiple-zeta values (MZVs).
This entailed use of symbolic integration, high
precision numerical integration, and some interesting
combinatorics and special-function theory. The original
motivation was to represent objects such as Eulerian
log-gamma integrals; and all such integrals were
expressed in terms of a MTW basis. Herein, we extend
the research envisaged in Bailey et al. [8] by
analyzing the relations between a significantly more
general class of MTW sums. This has required
significantly more subtle scientific computation and
concomitant special function theory.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000356633800008",
}
@InCollection{Bailey:2015:EAM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental Applied Mathematics",
crossref = "Higham:2015:PCA",
pages = "925--933",
year = "2015",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
note = "Entry VIII.6.",
URL = "http://docserver.carma.newcastle.edu.au/1460/",
acknowledgement = ack-nhfb # " and " # ack-njh,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2015:ECO,
author = "David H. Bailey and Jonathan M. Borwein",
booktitle = "Mathematics, substance and surmise",
title = "Experimental computation as an ontological game
changer: the impact of modern mathematical computation
tools on the ontology of mathematics",
publisher = pub-SV,
address = pub-SV:adr,
pages = "25--67",
year = "2015",
MRclass = "00A35 (03B35 68W30)",
MRnumber = "3467267",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/ontology.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:ELG,
author = "David H. Bailey and David Borwein and Jonathan M.
Borwein",
title = "On {Eulerian} log-gamma integrals and
{Tornheim--Witten} zeta functions",
journal = j-RAMANUJAN-J,
volume = "36",
number = "1--2",
pages = "43--68",
month = feb,
year = "2015",
DOI = "https://doi.org/10.1007/s11139-012-9427-1",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11M35 (11M32 33B15 33F05)",
MRnumber = "3296709",
MRreviewer = "Renata Macaitien{\.e}",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1377/",
ZMnumber = "06398825",
abstract = "Stimulated by earlier work by Moll and his coworkers
(Amdeberhan et al., Proc. Am. Math. Soc., {\bf 139}(2):
535--545, 2010), we evaluate various basic log Gamma
integrals in terms of partial derivatives of
Tornheim--Witten zeta functions and their extensions
arising from evaluations of Fourier series. In
particular, we fully evaluate $ \mathcal {LG}(n) =
\int_0^1 \log^n \Gamma (x) \, d x $ for $ 1 \leq n \leq
4 $ and make some comments regarding the general case.
The subsidiary computational challenges are
substantial, interesting and significant in their own
right.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000347701700003",
}
@Article{Bailey:2015:HPA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "High-precision arithmetic in mathematical physics",
journal = "Mathematics",
volume = "3",
number = "2",
pages = "337--367",
month = jun,
year = "2015",
DOI = "https://doi.org/10.3390/math3020337",
ISSN = "2227-7390",
ISSN-L = "2227-7390",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.mdpi.com/2227-7390/3/2/337",
abstract = "For many scientific calculations, particularly those
involving empirical data, IEEE 32-bit floating-point
arithmetic produces results of sufficient accuracy,
while for other applications IEEE 64-bit floating-point
is more appropriate. But for some very demanding
applications, even higher levels of precision are often
required. This article discusses the challenge of
high-precision computation, in the context of
mathematical physics, and highlights what facilities
are required to support future computation, in light of
emerging developments in computer architecture.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://www.mdpi.com/journal/mathematics",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "See improvements in \cite{Dolgov:2020:PCI}.",
unique-id = "ISI:000364229100010",
xxpublisher = "Multidisciplinary Digital Publishing Institute",
}
@TechReport{Bailey:2015:OTD,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado} and Qiji
Zhu",
title = "Online tools for demonstration of backtest
overfitting",
institution = "Lawrence Berkeley National Laboratory and four
others",
address = "Berkeley, CA 94720, USA and others",
pages = "13",
day = "29",
month = nov,
year = "2015",
MRclass = "60E, 62C, 91G10, 91G60, 91G70",
bibdate = "Fri Sep 30 09:04:44 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://ssrn.com/abstract=2597421",
abstract = "In mathematical finance, backtest overfitting relates
to the usage of historical market data (a backtest) to
develop an investment strategy, where the strategy
profits from random patterns rather than variables
signals. Backtest overfitting is now thought to be a
primary reason why quantitative investment models and
strategies that look good on paper often disappoint in
practice.\par
In this study we introduce two online tools, the
Backtest Overfitting Demonstration Tool, or BODT for
short, and the Tenure Maker Simulation Tool, or TMST,
which illustrate the impact of backtest overfitting on
investment models and strategies. We describe BODT and
TSMT, the experiments they perform, together with
technical details such as the evaluation metrics and
parameters used.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "Backtest overfitting, multiple testing, Sharpe Ratio,
Deflated Sharpe Ratio, investment strategy",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:CAGa,
author = "J. M. Borwein and O. Giladi",
title = "Convex analysis in groups and semigroups: a sampler",
journal = "ArXiv e-prints",
month = oct,
year = "2015",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2015arXiv151004480B;
http://docserver.carma.newcastle.edu.au/1693/",
abstract = "We define convexity canonically in the setting of
monoids. We show that many classical results from
convex analysis hold for functions defined on such
groups and semigroups, rather than only on vector
spaces. Some examples and counter-examples are also
discussed.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1510.04480",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Article{Borwein:2015:CDR,
author = "Jonathan M. Borwein and Matthew K. Tam",
title = "The cyclic {Douglas--Rachford} method for inconsistent
feasibility problems",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "16",
number = "4",
pages = "573--584",
month = apr,
year = "2015",
DOI = "",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "47J25 (47H09 47H10)",
MRnumber = "3343161",
MRreviewer = "Jean Mawhin",
bibdate = "Fri Sep 30 09:55:02 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1496/;
http://www.ybook.co.jp/online2/jncav16-4.html",
abstract = "We analyse the behaviour of the newly introduced
cyclic Douglas--Rachford algorithm for finding a point
in the intersection of a finite number of closed convex
sets. This work considers the case in which the target
intersection set is possibly empty.",
acknowledgement = ack-nhfb,
affiliation = "Borwein, JM (Reprint Author), Univ Newcastle, CARMA
Ctr, Callaghan, NSW 2308, Australia. Borwein, Jonathan
M.; Tam, Matthew K., Univ Newcastle, CARMA Ctr,
Callaghan, NSW 2308, Australia.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000355240900001",
xxpages = "537--584",
xxtitle = "The cyclic {Douglas--Rachford} feasibility method:
behaviour on infeasible problems",
}
@Article{Borwein:2015:CRA,
author = "J. M. Borwein and G. Li and M. K. Tam",
title = "Convergence rate analysis for averaged fixed point
iterations in the presence of H{\"o}lder regularity",
journal = "ArXiv e-prints",
month = oct,
year = "2015",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2015arXiv151006823B;
http://docserver.carma.newcastle.edu.au/1690/",
abstract = "In this paper, we establish sublinear and linear
convergence of fixed point iterations generated by
averaged operators in a Hilbert space. Our results are
achieved under a bounded H{\"o}lder regularity
assumption which generalizes the well-known notion of
bounded linear regularity. As an application of our
results, we provide a convergence rate analysis for
Krasnoselskii--Mann iterations, the cyclic projection
algorithm, and the Douglas--Rachford feasibility
algorithm along with some variants. In the important
case in which the underlying sets are convex sets
described by convex polynomials in a finite dimensional
space, we show that the H{\"o}lder regularity
properties are automatically satisfied, from which
sublinear convergence follows.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1510.06823",
keywords = "Mathematics - Optimization and Control",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@Unpublished{Borwein:2015:CU,
author = "Jonathan M. Borwein and Brailey Sims",
title = "Convexity in ultraproducts",
month = aug,
year = "2015",
bibdate = "Tue Aug 16 09:40:17 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2015:DCP,
author = "Jonathan M. Borwein and D. Russell Luke",
title = "Duality and Convex Programming",
crossref = "Scherzer:2015:HMM",
volume = "1",
pages = "257--304",
year = "2015",
DOI = "https://doi.org/10.1007/978-1-4939-0790-8_7",
MRclass = "94A08",
MRnumber = "3560070",
MRreviewer = "Nicolas Hadjisavvas",
bibdate = "Sat Aug 13 16:07:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1217/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:DSU,
author = "J. M. Borwein and A. Straub and C. Vignat",
title = "Densities of short uniform random walks in higher
dimensions",
journal = "ArXiv e-prints",
month = aug,
year = "2015",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2015arXiv150804729B;
http://docserver.carma.newcastle.edu.au/1699/",
abstract = "We study arithmetic properties of short uniform random
walks in arbitrary dimensions, with a focus on explicit
(hypergeometric) evaluations of the moment functions
and probability densities in the case of up to five
steps. Somewhat to our surprise, we are able to provide
complete extensions to arbitrary dimensions for most of
the central results known in the two-dimensional
case.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1508.04729",
keywords = "Mathematics - Classical Analysis and ODEs, Mathematics
- Number Theory",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
primaryclass = "math.CA",
}
@InCollection{Borwein:2015:FM,
author = "Jonathan M. Borwein",
title = "The Future of Mathematics: 1965 to 2065",
crossref = "Kennedy:2015:CAM",
pages = "313--329",
year = "2015",
MRclass = "00A35",
MRnumber = "3408151",
bibdate = "Fri Aug 12 19:11:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1720/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxpages = "313--330",
}
@Article{Borwein:2015:LKM,
author = "Jonathan M. Borwein and Yann Bugeaud and Michael
Coons",
title = "The legacy of {Kurt Mahler}",
journal = j-NAMS,
volume = "62",
number = "5",
pages = "526--531",
month = may,
year = "2015",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1241",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70, 01A75 (Collected or selected works), 11-03",
MRnumber = "3328921",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ams.org/notices/201505/rnoti-p526.pdf",
ZMnumber = "1338.01030",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:MCR,
author = "D. Borwein and J. M. Borwein and B. Sims",
title = "Monotonicity of certain {Riemann} sums",
year = "2015",
bibdate = "Tue Aug 16 09:36:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted, Mathematics Magazine, January 2015.",
URL = "http://docserver.carma.newcastle.edu.au/1692/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:MMI,
author = "Jonathan M. Borwein and Joydeep Dutta",
title = "Maximal Monotone Inclusions and {Fitzpatrick}
Functions",
journal = j-J-OPT-THEORY-APPL,
volume = "??",
number = "??",
pages = "1--28",
year = "2015",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-015-0813-x",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue of JOTA on Nondifferentiable
Optimization and Nonsmooth Analysis, dedicated to
Vladimir Demyanov.",
URL = "http://docserver.carma.newcastle.edu.au/1715/;
http://link.springer.com/article/10.1007/s10957-015-0813-x",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:NCR,
author = "Jonathan M. Borwein and Brailey Sims and Matthew K.
Tam",
title = "Norm convergence of realistic projection and
reflection methods",
journal = j-OPTIMIZATION,
volume = "64",
number = "1",
pages = "161--178",
month = jan,
year = "2015",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331934.2014.947499",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
MRclass = "47J25 (47H09 47H10 90C25 90C48)",
MRnumber = "3293546",
MRreviewer = "Patrick L. Combettes",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1493/",
abstract = "We provide sufficient conditions for norm convergence
of various projection and reflection methods, as well
as giving limiting examples regarding convergence
rates.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Tam, Matthew/G-8127-2013",
unique-id = "ISI:000346849000011",
}
@Article{Borwein:2015:NPD,
author = "J. M. Borwein and O. Giladi",
title = "Nearest points and delta convex functions in {Banach}
spaces",
journal = "ArXiv e-prints",
month = oct,
year = "2015",
bibdate = "Fri Sep 30 09:28:29 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint of \cite{Borwein:2016:NPD}.",
URL = "http://adsabs.harvard.edu/abs/2015arXiv151004471B",
abstract = "Given a closed set $C$ in a Banach space $ (X, ||
\cdot ||)$, a point $ x \in X$ is said to have a
nearest point in $C$ if there exists $ z \in C$ such
that $ d_C(x) = || x - z || $, where $ d_C$ is the
distance of $x$ from $C$. We shortly survey the problem
of studying how large is the set of points in $X$ which
have nearest points in $C$. We then discuss the topic
of delta-convex functions and how it is related to
finding nearest points.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1510.04471",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
keywords = "Mathematics - Functional Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.FA",
unique-id = "ISI:000372529100012",
}
@Article{Borwein:2015:PPA,
author = "Jonathan M. Borwein and Scott T. Chapman",
title = "{I} Prefer Pi: Addenda",
journal = j-AMER-MATH-MONTHLY,
volume = "122",
number = "8",
pages = "800--800",
month = oct,
year = "2015",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.122.8.800",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A05 (11Z05)",
MRnumber = "3399115",
bibdate = "Tue Oct 20 06:20:38 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "See \cite{Borwein:2015:PPB}. The addenda correct
formulas (4) and (12), references [34] and [74], and
add a new reference.",
URL = "https://www.jstor.org/stable/10.4169/amer.math.monthly.122.8.800",
ZMnumber = "1328.01077",
abstract = "In the rush to prepare our March 2015 article on Pi
[1], several infelicities escaped our eye. Herein we
repair the damage.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000363911100013",
}
@Article{Borwein:2015:PPB,
author = "Jonathan M. Borwein and Scott T. Chapman",
title = "{I} Prefer Pi: a Brief History and Anthology of
Articles in the {{\booktitle{American Mathematical
Monthly}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "122",
number = "3",
pages = "195--216",
month = mar,
year = "2015",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.122.03.195",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "01A05 (11Z05)",
MRnumber = "3327710",
bibdate = "Wed Jun 10 09:05:28 MDT 2015",
bibsource = "https://www.jstor.org/stable/10.4169/amermathmont.122.issue-03;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "See addenda \cite{Borwein:2015:PPA}.",
URL = "http://docserver.carma.newcastle.edu.au/1615/;
https://www.jstor.org/stable/10.4169;
https://www.jstor.org/stable/10.4169/amer.math.monthly.122.03.195",
abstract = "In celebration of both a special ``big'' $ \pi $ Day
(3/14/15) and the 2015 centennial of the Mathematical
Association of America, we review the illustrious
history of the constant $ \pi $ in the pages of the
American Mathematical Monthly.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000369889300002",
}
@Article{Borwein:2015:RNP,
author = "Jonathan M. Borwein and Armin Straub",
title = "Relations for {Nielsen} polylogarithms",
journal = j-J-APPROX-THEORY,
volume = "193",
number = "??",
pages = "74--88",
month = may,
year = "2015",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2013.07.003",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "33B30",
MRnumber = "3324564",
MRreviewer = "Junesang Choi",
bibdate = "Thu Aug 11 10:27:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Issue Dedicated to Dick Askey on the occasion
of his 80th birthday.",
URL = "http://docserver.carma.newcastle.edu.au/1500/;
http://www.sciencedirect.com/science/article/pii/S0021904513001202",
abstract = "Polylogarithms appear in many diverse fields of
mathematics. Herein, we investigate relations amongst
the restricted class of Nielsen-type (essentially,
height one) polylogarithms, both generic and at special
arguments including the sixth roots of unity. Numerical
computations suggest that the collected relations,
partially motivated by a previous study of the authors
on log-sine integrals, are complete except in the case
when the argument is the fundamental sixth root of
unity. For use in other applications, all our results
are implemented and accessible for use in symbolic
computation or to facilitate numeric computation. In
particular, the relations are explicitly exhibited in
the case of low weights.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
keywords = "Clausen functions; Log-sine integrals; Multiple
polylogarithms; Multiple zeta values",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "ISI:000352676400006",
}
@InProceedings{Borwein:2015:RPM,
author = "Jonathan M. Borwein and Liangjin Yao",
title = "Recent progress on monotone operator theory",
crossref = "Reich:2015:IPO",
pages = "51--81",
year = "2015",
DOI = "https://doi.org/10.1090/conm/636/12728",
MRclass = "47H05 (46B10 47-02)",
MRnumber = "3155360",
MRreviewer = "Behzad Djafari-Rouhani",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1457/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:SRC,
author = "Jonathan M. Borwein and Ohad Giladi",
title = "Some remarks on convex analysis in topological
groups",
journal = "ArXiv e-prints",
month = oct,
year = "2015",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2015arXiv151004487B;
http://docserver.carma.newcastle.edu.au/1697/",
abstract = "We discuss some key results from convex analysis in
the setting of topological groups and monoids. These
include separation theorems, Krein--Milman type
theorems, and minimax theorems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1510.04487",
keywords = "Mathematics - Optimization and Control, Mathematics -
Functional Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.OC",
}
@InCollection{Borwein:2015:WWH,
author = "Jonathan M. Borwein",
title = "Who We Are and How We Got That Way?",
crossref = "Casazza:2015:M",
pages = "140--156",
year = "2015",
bibdate = "Sat Aug 13 13:47:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/777/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{AragonArtacho:2016:GBD,
author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M.
Borwein and Matthew K. Tam",
title = "Global behavior of the {Douglas--Rachford} method for
a nonconvex feasibility problem",
journal = j-J-GLOBAL-OPT,
volume = "65",
number = "2",
pages = "309--327",
month = jun,
year = "2016",
CODEN = "JGOPEO",
DOI = "https://doi.org/10.1007/s10898-015-0380-6",
ISSN = "0925-5001 (print), 1573-2916 (electronic)",
ISSN-L = "0925-5001",
MRclass = "90C26 (65K05)",
MRnumber = "3498569",
MRreviewer = "Zhili Ge",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1701/",
abstract = "In recent times the Douglas--Rachford algorithm has
been observed empirically to solve a variety of
nonconvex feasibility problems including those of a
combinatorial nature. For many of these problems
current theory is not sufficient to explain this
observed success and is mainly concerned with questions
of local convergence. In this paper we analyze global
behavior of the method for finding a point in the
intersection of a half-space and a potentially
non-convex set which is assumed to satisfy a
well-quasi-ordering property or a property weaker than
compactness. In particular, the special case in which
the second set is finite is covered by our framework
and provides a prototypical setting for combinatorial
optimization problems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Global Optimization. An International
Journal Dealing with Theoretical and Computational
Aspects of Seeking Global Optima and Their Applications
in Science, Management and Engineering",
journal-URL = "http://link.springer.com/journal/10898",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Aragon Artacho, Francisco Javier/C-2531-2012",
unique-id = "ISI:000377611500007",
}
@InCollection{Bailey:2016:AIS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Ancient {Indian} Square Roots: An Exercise in Forensic
Paleo-Mathematics",
crossref = "Selin:2016:EHS",
pages = "305--310",
year = "2016",
DOI = "https://doi.org/10.1007/978-94-007-7747-7_10265",
bibdate = "Fri Aug 12 18:58:22 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Redacted from \cite{Bailey:2012:AIS}.",
URL = "http://docserver.carma.newcastle.edu.au/1385/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:BOF,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado} and Qiji
Zhu",
title = "Backtest Overfitting in Financial Markets",
journal = "Automated Trader Magazine",
volume = "39",
number = "Q1",
pages = "52--57",
month = "????",
year = "2016",
bibdate = "Fri Aug 12 07:28:28 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1713/;
http://www.automatedtrader.net/articles/strategies/155469/backtest-overfitting-in-financial-markets",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
journal-URL = "http://www.automatedtrader.net/home.xhtm",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:CDA,
author = "David H. Bailey and Jonathan M. Borwein and Jason
Kimberley and Watson Ladd",
title = "Computer Discovery and Analysis of Large {Poisson}
Polynomials",
journal = j-EXP-MATH,
volume = "??",
number = "??",
pages = "??--??",
month = "",
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1180565",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Fri Aug 12 07:21:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1689/;
http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1180565",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "24 August 2016",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
xxtitle = "Discovery and Analysis of Large {Poisson} Polynomials
Using the {MPFUN--MPFR} Arbitrary Precision Software",
}
@TechReport{Bailey:2016:CEE,
author = "D. H. Bailey and J. M. Borwein",
title = "Computation and experimental evaluation of
{Mordell--Tornheim--Witten} sum derivatives",
institution = "University of California at Davis and Centre for
Computer Assisted Research Mathematics and its
Applications (CARMA), University of Newcastle",
address = "Davis, CA, USA and Callaghan, NSW 2308, Australia",
pages = "9",
day = "16",
month = aug,
year = "2016",
bibdate = "Tue Aug 16 09:37:31 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/omega-numerics.pdf",
abstract = "In previous studies the present authors and others
have studied in have studied Mordell--Tornheim--Witten
sums and their connections with multiple-zeta values.
In this note we describe the numerical computation of
derivatives at zero of a specialization originating in
[14] and studied further in [10, 15, 11], and the
experimental evaluation of these numerical values in
terms of well-known constants.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2016:CPI,
author = "David H. Bailey and Jonathan M. Borwein and Andrew
Mattingly and Glenn Wightwick",
title = "The computation of previously inaccessible digits of $
\pi $",
crossref = "Bailey:2016:PNG",
pages = "327--339",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-32377-0_20",
bibdate = "Tue Mar 14 11:34:57 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:CSC,
author = "D. H. Bailey and J. M. Borwein",
title = "Computation and structure of character polylogarithms
with applications to character
{Mordell--Tornheim--Witten} sums",
journal = j-MATH-COMPUT,
volume = "85",
number = "297",
pages = "295--324",
year = "2016",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/2974",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11L40 (33F05)",
MRnumber = "3404451",
MRreviewer = "Karin Halupczok",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://www.ams.org/mcom/2016-85-297;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "http://docserver.carma.newcastle.edu.au/1492/;
http://www.ams.org/journals/mcom/2016-85-297/S0025-5718-2015-02974-3;
http://www.ams.org/journals/mcom/2016-85-297/S0025-5718-2015-02974-3/S0025-5718-2015-02974-3.pdf;
http://www.ams.org/mathscinet/search/author.html?authorName=Borwein%2C%20J.%20M.;
http://www.ams.org/mathscinet/search/author.html?mrauthid=29355;
http://www.carma.newcastle.edu.au/jon/MTWIII.pdf",
abstract = "This paper extends tools developed to study character
polylogarithms. These objects are used to compute
Mordell--Tornheim--Witten character sums and to explore
their connections with multiple-zeta values (MZVs) and
with their character analogues.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000362848100011",
}
@InCollection{Bailey:2016:EMS,
author = "D. H. Bailey and J. M. Borwein",
booktitle = "7th European Mathematics Congress (EMC) on Mathematics
in the Society of the Future",
title = "Experimental Mathematics in the Society of the
Future",
publisher = "European Mathematical Society",
address = "Z{\"u}rich, Switzerland",
pages = "7--25",
year = "2016",
DOI = "https://doi.org/10.4171/164-1/2",
ISBN = "",
ISBN-13 = "",
LCCN = "",
MRclass = "00A35",
MRnumber = "3497586",
bibdate = "Fri Aug 12 18:35:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1675/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Bailey:2016:FRS,
author = "David H. Bailey and Jonathan M. Borwein and Victoria
Stodden",
editor = "Harald Atmanspacher and Sabine Maasen",
booktitle = "Reproducibility: Principles, Problems, Practices, and
Prospects",
title = "Facilitating Reproducibility in Scientific Computing:
Principles and Practice",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "205--231",
year = "2016",
DOI = "https://doi.org/10.1002/9781118865064.ch9",
ISBN = "1-118-86506-5",
ISBN-13 = "978-1-118-86506-4",
bibdate = "Thu Aug 11 11:01:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "This book was awarded the 2017 Prose Award
(``Honorable Mention'') in the category ``Textbook /
Best in Physical Sciences and Mathematics''; see
\url{https://proseawards.com/winners/2017-award-winners/}
and
\url{http://experimentalmath.org/2017/02/reproducibility-principles-problems-practices-and-prospects/}.",
abstract = "This chapter discusses the roots of the
reproducibility problem in scientific computing, and
summarizes some possible solutions that have been
suggested in the community. Statistical overfitting can
be thought of as an instance of ``selection bias'',
wherein one presents the results of only those tests
that support well one's hypothesis. The problem of
statistical overfitting in computational science is
perhaps best illustrated in the field of mathematical
finance. Present-day researchers are not as fully aware
of the potential pitfalls of performance reporting. In
any event, various high-performance computing
researchers have noted a resurrection of some of these
questionable practices. Using high-precision arithmetic
(higher than the standard IEEE 64-bit arithmetic) is
often quite useful in ameliorating numerical
difficulties and enhancing reproducibility. Very
high-precision floating-point arithmetic is essential
to obtain reproducible results in experimental
mathematics and in related mathematical physics
applications. The chapter also discusses
reproducibility in symbolic computing.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "high-performance computing; high-precision arithmetic;
mathematical physics; numerical reproducibility;
performance reporting; scientific computing;
statistical overfitting; symbolic computing",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Unpublished{Bailey:2016:HHI,
author = "D. Bailey and J. Borwein and M. {L{\'o}pez de Prado}
and A. Salehipour and Qiji Zhu",
title = "How hard is it to avoid backtest overfitting?",
year = "2016",
bibdate = "Tue Aug 16 09:31:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted to Applied Mathematical Finance, July
2016.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:RCS,
author = "David H. Bailey and Jonathan M. Borwein and Richard P.
Brent and Mohsen Reisi",
title = "Reproducibility in Computational Science: A Case
Study: Randomness of the Digits of Pi",
journal = j-EXP-MATH,
volume = "22",
number = "??",
pages = "1--8",
month = "",
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1163755",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Fri Aug 12 07:22:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "See \cite{Ganz:2014:DES}.",
URL = "http://docserver.carma.newcastle.edu.au/1695/;
http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1163755",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "24 August 2016",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "This paper reproduces work in \cite{Ganz:2014:DES},
and then shows that the report in that paper of
nonrandomness of digits of $ \pi $ is an artifact of an
unlucky choice of sample block sizes. Statistics from
several different block sizes support the widely-held,
but still unproven, belief that $ \pi $ is a normal
number (where all digits occur with equal
probability).",
xxauthor = "David H. Bailey and Jonathan M. Borwein and Richard P.
Brent and Mohsen Reisi Ardali",
}
@Article{Bailey:2016:SPDa,
author = "D. Bailey and J. Borwein and M. {L{\'o}pez de Prado}",
title = "Stock portfolio design and backtest overfitting",
journal = j-J-INVESTMENT-MANAGE,
volume = "??",
number = "??",
pages = "??--??",
month = "????",
year = "2016",
DOI = "",
ISSN = "1545-9144 (print), 1545-9152 (electronic)",
ISSN-L = "1545-9144",
bibdate = "Fri Aug 12 07:17:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1684/;
http://www.davidhbailey.com/dhbpapers/stockfund.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Investment Management",
journal-URL = "https://www.joim.com/library-archives/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
pagecount = "16",
}
@Article{Bailey:2016:SPDb,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado}",
title = "Stock portfolio design and backtest overfitting",
journal = "{SSRN} Electronic Journal",
year = "2016",
DOI = "https://doi.org/10.2139/ssrn.2739335",
bibdate = "Fri Feb 9 09:23:54 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The arithmetic--geometric mean and fast computation of
elementary functions (1984)",
crossref = "Bailey:2016:PNG",
pages = "79--96",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-32377-0_4",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-319-32377-0_4",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:AO,
author = "J. M. Borwein",
title = "Adventures with the {OEIS}",
journal = j-RAMANUJAN-J,
volume = "??",
number = "??",
pages = "??--??",
month = "????",
year = "2016",
DOI = "",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
bibdate = "Fri Aug 12 07:16:30 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1686/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
keywords = "Neil J. A. Sloane; OEIS (Online Encyclopedia of
Integer Sequences)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:BOM,
author = "J. M. Borwein and K. Dilcher and H. Tomkins",
title = "The behaviour at the origin of multiple {Witten} zeta
functions",
month = jul,
year = "2016",
bibdate = "Tue Aug 16 09:38:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "In preparation.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:CFD,
author = "Jonathan M. Borwein and Corwin W. Sinnamon",
title = "A closed form for the density functions of random
walks in odd dimensions",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "93",
number = "2",
pages = "330--339",
month = apr,
year = "2016",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S0004972715001112",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "60G50 (33C20)",
MRnumber = "3480942",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1702/;
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10230818",
abstract = "We derive an explicit piecewise-polynomial closed form
for the probability density function of the distance
travelled by a uniform random walk in an
odd-dimensional space.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000372529100017",
}
@Article{Borwein:2016:CLA,
author = "Jonathan M. Borwein and Neil J. Calkin and Scott B.
Lindstrom and Andrew Mattingly",
title = "Continued Logarithms and Associated Continued
Fractions",
journal = j-EXP-MATH,
volume = "26",
number = "4",
pages = "412--429",
month = sep,
year = "2016",
DOI = "https://doi.org/10.1080/10586458.2016.1195307",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11J70 (11Y65, 11A55)",
MRnumber = "3480942",
bibdate = "Sat Oct 21 17:29:42 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://docserver.carma.newcastle.edu.au/1687/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
keywords = "continued fractions; continued logarithms;
Gauss-Kuzmin distribution; Khintchine's constant;
logarithmic Khintchine numbers",
onlinedate = "16 September 2016",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Presented as a colloquium at the University of Western
Ontario, London, ON, Canada prior to publication.",
}
@Unpublished{Borwein:2016:CRA,
author = "Jonathan M. Borwein and Gouyin Li and Matthew Tam",
title = "Convergence rate analysis for averaged fixed point
iterations in the presence of {H{\"o}lder} regularity",
year = "2016",
bibdate = "Tue Aug 16 09:34:36 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Revised SIAM Optimization, April 2016.",
URL = "http://arxiv.org/abs/1510.06823;
http://docserver.carma.newcastle.edu.au/1690/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:DFE,
author = "J. M. Borwein and Karl Dilcher",
title = "Derivatives and Fast Evaluation of the {Witten} Zeta
Function",
year = "2016",
bibdate = "Tue Aug 16 09:34:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted to the Ramanujan Journal, April 2016.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:DSU,
author = "Jonathan M. Borwein and Armin Straub and Christophe
Vignat",
title = "Densities of short uniform random walks in higher
dimensions",
journal = j-J-MATH-ANAL-APPL,
volume = "437",
number = "1",
pages = "668--707",
month = may,
year = "2016",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2016.01.017",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "60G50 (33C20)",
MRnumber = "3451989",
MRreviewer = "Enzo Orsingher",
bibdate = "Fri Aug 12 07:29:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1699/;
http://www.sciencedirect.com/science/article/pii/S0022247X16000421",
abstract = "We study arithmetic properties of short uniform random
walks in arbitrary dimensions, with a focus on explicit
(hypergeometric) evaluations of the moment functions
and probability densities in the case of up to five
steps. Somewhat to our surprise, we are able to provide
complete extensions to arbitrary dimensions for most of
the central results known in the two-dimensional
case.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Bessel integrals; Generalised hypergeometric
functions; Narayana numbers; Short random walks",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
unique-id = "ISI:000369676700037",
}
@Unpublished{Borwein:2016:EAI,
author = "Jonathan M. Borwein and Michael Rose",
booktitle = "",
title = "Expectations over attractors of iterated function
systems",
month = "????",
year = "2016",
bibdate = "Tue Aug 16 09:35:26 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted JMAA, June 2016.",
URL = "http://docserver.carma.newcastle.edu.au/1680/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:EAM,
author = "J. M. Borwein and A. Straub",
booktitle = "Mathematical Beauties 2016 Calendar",
title = "Entry for {August} on {``Moments of random walks''}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "??--??",
year = "2016",
bibdate = "Fri Aug 12 18:36:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Straub,
Armin/0000-0001-6802-6053",
}
@Unpublished{Borwein:2016:EBD,
author = "J. M. Borwein and Ohad Giladi",
title = "Ergodic behaviour of a {Douglas--Rachford} operator
away from the origin",
year = "2016",
bibdate = "Tue Aug 16 09:33:31 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted to the Journal of Global Optimization, May
2016.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:EM,
author = "Jonathan Borwein",
title = "Experimental Mathematics",
crossref = "Calude:2016:HFC",
pages = "141--156",
year = "2016",
DOI = "https://doi.org/10.1142/9781783266449_0010",
bibdate = "Fri Aug 12 18:39:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1527/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:EMP,
author = "Jonathan Borwein",
title = "The Experimental Mathematician: The Pleasure of
Discovery and the Role of Proof",
journal = j-CMS-NOTES,
volume = "48",
number = "6",
pages = "10--13",
month = dec,
year = "2016",
ISSN = "0045-5164",
ISSN-L = "0045-5164",
bibdate = "Sat Jan 07 11:42:46 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Excerpts from a 2002 CMESG Plenary Lecture given by
the author.",
URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Canadian Mathematical Society Notes",
journal-URL = "https://cms.math.ca/notes",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Published posthumously.",
}
@Article{Borwein:2016:GCLa,
author = "J. M. Borwein and K. G. Hare and J. G. Lynch",
title = "Generalized Continued Logarithms and Related Continued
Fractions",
journal = "ArXiv e-prints",
month = jun,
year = "2016",
bibdate = "Thu Aug 11 07:19:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://adsabs.harvard.edu/abs/2016arXiv160606984B",
abstract = "We study continued logarithms as introduced by Bill
Gosper and studied by J. Borwein et. al.. After
providing an overview of the type I and type II
generalizations of binary continued logarithms
introduced by Borwein et. al., we focus on a new
generalization to an arbitrary integer base $b$. We
show that all of our so-called type III continued
logarithms converge and all rational numbers have
finite type III continued logarithms. As with simple
continued fractions, we show that the continued
logarithm terms, for almost every real number, follow a
specific distribution. We also generalize Khinchine's
constant from simple continued fractions to continued
logarithms, and show that these logarithmic Khinchine
constants have an elementary closed form. Finally, we
show that simple continued fractions are the limiting
case of our continued logarithms, and briefly consider
how we could generalize past continued logarithms.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
eprint = "1606.06984",
keywords = "Mathematics - Number Theory",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
primaryclass = "math.NT",
}
@Unpublished{Borwein:2016:GCLb,
author = "J. M. Borwein and K. Hare and J. Lynch",
title = "Generalized Continued Logarithms and Related Continued
Fractions",
year = "2016",
bibdate = "Tue Aug 16 09:32:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Submitted to Math of Computation, June 2016.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:GDR,
author = "J. Borwein and S. Lindstrom and A. Schneider and B.
Sims and M. Skerritt",
title = "Generalisation of the {Douglas--Rachford} method from
simple spheres to ellipses and $p$-spheres",
month = jun,
year = "2016",
bibdate = "Tue Aug 16 09:39:37 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Preprint.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:LPA,
author = "Jonathan M. Borwein",
title = "The Life of Pi: From {Archimedes} to {ENIAC} and
Beyond",
crossref = "Bailey:2016:PNG",
pages = "443--474",
year = "2016",
bibdate = "Thu Aug 11 15:18:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/265/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:MLO,
author = "Jonathan M. Borwein and Scott B. Lindstrom",
title = "Meetings with {Lambert} {$ {\cal W} $} and other
special functions in optimization and analysis",
journal = "Pure and Applied Functional Analysis",
volume = "1",
number = "3",
pages = "361--396",
month = "????",
year = "2016",
ISSN = "2189-3756 (print), 2189-3764 (electronic)",
MRclass = "33E99 (49N15 68W30 90C25)",
MRnumber = "3622396",
bibdate = "Fri Aug 12 07:19:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ybook.co.jp/online2/oppafa/vol1/p361.html",
ZMnumber = "06629180",
acknowledgement = ack-nhfb,
ajournal = "Pure Appl. Funct. Anal.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Pure and Applied Functional Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:MMI,
author = "J. M. Borwein and J. Dutta",
title = "Maximal monotone inclusions and {Fitzpatrick}
functions",
journal = j-J-OPT-THEORY-APPL,
volume = "171",
number = "3",
pages = "757--784",
month = dec,
year = "2016",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-015-0813-x",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "49J52 (90C30)",
MRnumber = "3575644",
MRreviewer = "Radu Ioan Bo{\c{t}}",
bibdate = "Thu Feb 16 20:11:36 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "In this paper, we study maximal monotone inclusions
from the perspective of gap functions. We propose a
very natural gap function for an arbitrary maximal
monotone inclusion and will demonstrate how naturally
this gap function arises from the Fitzpatrick function,
which is a convex function, used to represent maximal
monotone operators. This allows us to use the powerful
strong Fitzpatrick inequality to analyse solutions of
the inclusion. We also study the special cases of a
variational inequality and of a generalized variational
inequality problem. The associated notion of a scalar
gap is also considered in some detail. Corresponding
local and global error bounds are also developed for
the maximal monotone inclusion.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000389232900002",
}
@Article{Borwein:2016:NPD,
author = "Jonathan M. Borwein and Ohad Giladi",
title = "Nearest points and delta convex functions in {Banach}
spaces",
journal = j-BULL-AUSTRAL-MATH-SOC,
volume = "93",
number = "2",
pages = "283--294",
month = apr,
year = "2016",
CODEN = "ALNBAB",
DOI = "https://doi.org/10.1017/S000497271500101X",
ISSN = "0004-9727 (print), 1755-1633 (electronic)",
ISSN-L = "0004-9727",
MRclass = "46B20 (41A29)",
MRnumber = "3480938",
MRreviewer = "Mari{\'a}n Fabian",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10230840",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Bulletin of the Australian Mathematical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:PEN,
author = "J. M. Borwein and P. B. Borwein and K. Dilcher",
title = "Pi, {Euler} numbers, and asymptotic expansions",
crossref = "Bailey:2016:PNG",
pages = "197--205",
year = "2016",
bibdate = "Thu Aug 11 15:18:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1583/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:PPB,
author = "Jonathan M. Borwein and Scott T. Chapman",
title = "{I} prefer Pi: a brief history and anthology of
articles in the {{\booktitle{American Mathematical
Monthly}}}",
crossref = "Bailey:2016:PNG",
pages = "475--499",
year = "2016",
bibdate = "Thu Aug 11 15:18:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1615/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, Modular Equations, and Approximations to
Pi or How to Compute One Billion Digits of Pi",
crossref = "Bailey:2016:PNG",
pages = "175--195",
year = "2016",
bibdate = "Thu Aug 11 15:18:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1587/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InCollection{Borwein:2016:RP,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "{Ramanujan} and {Pi}",
crossref = "Bailey:2016:PNG",
pages = "165--174",
year = "2016",
bibdate = "Thu Aug 11 15:18:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Reprint of \cite{Borwein:1988:RP}.",
URL = "http://docserver.carma.newcastle.edu.au/1379/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:SRC,
author = "Jonathan M. Borwein and Ohad Giladi",
title = "Some Remarks on Convex Analysis in Topological
Groups",
journal = j-J-CONVEX-ANAL,
volume = "23",
number = "2",
pages = "313--332",
month = "????",
year = "2016",
DOI = "",
ISSN = "0944-6532 (print), 2363-6394 (electronic)",
MRclass = "49J52 Nonsmooth analysis (other weak concepts of
optimality), 22A10, 49J35, 49J27",
MRnumber = "3509663",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Fri Aug 12 07:26:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1697/;
http://www.heldermann.de/JCA/JCA23/JCA232/jca23012.htm",
ZMnumber = "06610407",
abstract = "We discuss some key results from convex analysis in
the setting of topological groups and monoids. These
include separation theorems, Krein-Milman type
theorems, and minimax theorems.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of convex analysis",
journal-URL = "http://www.heldermann.de/JCA/jcacon.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Is this the same as \cite{Borwein:2016:SRC}??",
unique-id = "ISI:000379735400001",
xxtitle = "Some Remarks on Locally Convex Groups",
}
@Article{Borwein:2016:SWC,
author = "J. M. Borwein",
title = "A short walk can be beautiful",
journal = j-J-HUMANIST-MATH,
volume = "6",
number = "1",
pages = "5--28",
month = jan,
year = "2016",
DOI = "https://doi.org/10.5642/jhummath.201601.07",
ISSN = "2159-8118",
ISSN-L = "2159-8118",
bibdate = "Fri Aug 12 07:32:51 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1712/",
abstract = "The story I tell is of research undertaken, with
students and colleagues, in the last six or so years on
short random walks. As the research progressed, my
criteria for beauty changed. Things seemingly
remarkable became simple and other seemingly simple
things became more remarkable as our analytic and
computational tools were refined, and understanding
improved. I intentionally display some rather advanced
mathematics as it is my contention - as with classical
music that one can learn to appreciate and enjoy
complex formulas without needing to understand them
deeply.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Humanistic Mathematics",
journal-URL = "http://scholarship.claremont.edu/jhm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000388610000006",
}
@Article{Borwein:2016:VAL,
author = "J. M. Borwein and Qiji (Jim) Zhu",
title = "A variational approach to {Lagrange} multipliers",
journal = j-J-OPT-THEORY-APPL,
volume = "171",
number = "3",
pages = "727--756",
month = dec,
year = "2016",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-015-0756-2",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C25; 90C46; 49N15",
MRnumber = "3575643",
MRreviewer = "Ern{\"o} Robert Csetnek",
bibdate = "Fri Aug 12 07:40:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue of JOTA on Nondifferentiable
Optimization and Nonsmooth Analysis, dedicated to
Vladimir Demyanov.",
URL = "http://link.springer.com/article/10.1007/s10957-015-0756-2",
abstract = "We discuss Lagrange multiplier rules from a
variational perspective. This allows us to highlight
many of the issues involved and also to illustrate how
broadly an abstract version can be applied.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
onlinedate = "27 May 2015",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000389232900001",
xxpages = "1--30",
}
@Article{Borwein:2016:VCP,
author = "Jonathan M. Borwein",
title = "A very complicated proof of the minimax theorem",
journal = "Minimax Theory and its Applications",
volume = "1",
number = "1",
pages = "21--27",
month = "????",
year = "2016",
ISSN = "2199-1413 (print), 2199-1421 (electronic)",
MRclass = "91B50 (49N15 49N45 90C25)",
MRnumber = "3477894",
MRreviewer = "Sirous Moradi",
bibdate = "Fri Aug 12 07:35:14 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1499/;
http://www.heldermann.de/MTA/MTA01/MTA011/mta01002.htm",
abstract = "The justly celebrated von Neumann minimax theorem has
many proofs. Here I reproduce the most complex one I am
aware of. This provides a fine didactic example for
many courses in convex analysis or functional
analysis.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Minimax Theory and Applications",
journal-URL = "http://www.heldermann.de/MTA/mtacover.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000408632400003",
}
@Book{Monaghan:2016:TMI,
author = "John Monaghan and Luc Trouche and Jonathan M.
Borwein",
title = "Tools and Mathematics: Instruments for Learning",
volume = "110",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxi + 483",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-02396-0",
ISBN = "3-319-02395-0, 3-319-02396-9 (e-book)",
ISBN-13 = "978-3-319-02395-3, 978-3-319-02396-0 (e-book)",
ISSN = "0924-4921 (print), 2214-983X (electronic)",
ISSN-L = "0924-4921",
LCCN = "QA11.2 .M65 2016",
bibdate = "Fri Sep 30 09:15:30 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Mathematics Education Library",
URL = "http://docserver.carma.newcastle.edu.au/1717/;
http://sfx.ethz.ch/sfx_locater?sid=ALEPH:EBI01\%26genre=book\%26isbn=9783319023960;
http://swbplus.bsz-bw.de/bsz470387262cov.htm",
abstract = "This book is an exploration of tools and mathematics
and issues in mathematics education related to tool
use. The book has four parts. The first part sets the
scene with a reflection on doing a mathematical task
with different tools, a mathematician's account of tool
use in his work and historical considerations of tool
use. The second part opens with a broad review of
technology and intellectual trends, circa 1970, and
continues with three case studies of approaches in
mathematics education and the place of tools in these
approaches. The third part considers issues related to
mathematics instructions: curriculum, assessment and
policy; the calculator debate; mathematics in the real
world; and teachers' use of technology. The final part
looks to the future and digital tools: task design; the
importance of artefacts in gameplay; and new forms of
activity via connectivity.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Study and teaching; Education;
Education.; Study and teaching.",
tableofcontents = "Foreword \\
Preface \\
Contents \\
About the Authors \\
Part I: Setting the Scene \\
Chapter 1: Introduction to the Book \\
1.1 Introduction \\
1.2 The Purpose and Scope of This Book \\
1.3 What Is a Tool? \\
1.3.1 John's Attempt to Address This Question \\
1.3.2 Luc's Attempt to Address This Question \\
1.4 The Structure of the Book \\
References \\
Chapter 2: Doing Mathematics with Tools: One Task, Four
Tools \\
2.1 Introduction \\
2.2 Bisecting an Angle with a Straight Edge and a
Compass \\
2.3 Bisecting an Angle with a Protractor \\
2.4 Bisecting an Angle with a Dynamic Geometry System
\\
2.5 Bisecting an Angle with a Book \\
Chapter 3: The Life of Modern Homo Habilis
Mathematicus: Experimental Computation and Visual
Theorems \\
3.1 Introduction \\
3.1.1 Who I Am and How I Got That Way \\
3.1.2 What Follows \\
3.1.3 Some Early Conclusions \\
3.2 Visual Theorems and Experimental Mathematics \\
3.2.1 Visual Theorems \\
3.2.2 On Picture-Writing \\
3.2.2.1 Proofs Without Words \\
3.3 Experimental Mathematics \\
3.3.1 Experimental Mathodology \\
3.3.2 When Science Becomes Technology \\
3.3.2.1 Minimal Configurations \\
3.3.3 Mathematical Discovery (or Invention) \\
3.3.4 Digital Assistance \\
3.3.5 The Twentieth Century's Top Ten Algorithms \\
3.3.6 Secure Knowledge Without Proof \\
3.3.7 Is `Free' Software Better? \\
3.4 A Dozen or So Accessible Examples \\
3.5 Simulation in Pure Mathematics \\
3.5.1 Monte Carlo Simulation of pi \\
3.5.2 Finding a Region of Convergence \\
3.6 Case Studies I: Dynamic Geometry \\
3.6.1 Case Study Ia: Iterative Reflections \\
3.6.2 Case Study Ib: Protein Conformation \\
3.7 Case Studies II: Numerical Analysis \\
3.7.1 Case Study IIa: Trefethen's 100 Digit Challenge
\\
3.7.2 Case Study IIb: Algorithms for Polylogarithms \\
3.8 Case Studies III: Randomish Walks \\
3.8.1 Case Study IIIa: Short Walks \\
3.8.1.1 The Three-Step Walk3.8.1.2 The Four-Step Walk
\\
3.8.2 Case Study IIIb: Number Walks \\
3.8.3 Case Study IIIc: Normality of Stoneham Numbers
\\
3.9 Conclusion \\
References \\
Chapter 4: Tools, Human Development and Mathematics \\
4.1 Introduction \\
4.2 Tool Use and Phylogenesis \\
4.3 Ancient Greece \\
4.3.1 Discussion of This Proof \\
4.3.2 Tools \\
4.3.3 Oral and Written Mathematics \\
Communities of Practice \\
4.4 Ancient Indian Square Roots \\
4.5 Abaci \\
4.6 Tools for Calculation in Europe Circa 1600 \\
4.7 Discussion: Insights on Tool Use Over Time \\
References \\
Chapter 5: The Development of Mathematics Practices in
the Mesopotamian Scribal Schools \\
5.1 Introduction \\
5.2 A Critical Moment \\
5.3 The Computation Practices and Their Support in
Scribal Schools \\
5.4 Evidencing Computing Artefacts Complementing the
Usage of Tablets and Memory \\
5.5 Analysing the Algorithm for Calculating a
Reciprocal, a Way for Entering the Spirit of
Mesopotomian Computation \\
\\
5.6 Conclusion and Discussion \\
References \\
Chapter 6: Discussions of Part I Chapters \\
6.1 Introduction \\
6.2 Interactions with John and Jon Follow-Up \\
6.2.1 Writing and Mathematics, a Dual Invention?",
}
@Article{AragonArtacho:2017:AMO,
author = "Francisco Javier {Arag{\'o}n Artacho} and Rene Henrion
and Marco Antonio Lopez-Cerda and Claudia Sagastizabal
and Jonathan M. Borwein",
title = "Advances in Monotone Operators Theory and Optimization
(Part 2) Preface",
journal = j-SET-VALUED-VAR-ANAL,
volume = "25",
number = "4, 2",
pages = "637--638",
month = dec,
year = "2017",
DOI = "https://doi.org/10.1007/s11228-017-0466-z",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Tue Feb 6 07:32:24 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000418588300001",
}
@Article{AragonArtacho:2017:SIA,
author = "Francisco Javier {Arag{\'o}n Artacho} and Rene Henrion
and Marco Antonio Lopez-Cerda and Claudia Sagastizabal
and Jonathan M. Borwein",
title = "Special Issue: Advances in Monotone Operators Theory
and Optimization Preface",
journal = j-SET-VALUED-VAR-ANAL,
volume = "25",
number = "3 (SI)",
pages = "463--465",
month = sep,
year = "2017",
DOI = "https://doi.org/10.1007/s11228-017-0441-8",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Tue Feb 6 07:34:04 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
researcherid-numbers = "Aragon Artacho, Francisco Javier/C-2531-2012",
unique-id = "ISI:000410259100001",
}
@Misc{Bailey:2017:CAA,
author = "David H. Bailey and Jonathan M. Borwein and Andrew
Mattingly and Glenn Wightwick",
title = "Computation and analysis of arbitrary digits of {Pi}
and other mathematical constants",
howpublished = "Slides for Levi Conant Prize lecture at Worcester
Polytechnic Institute, Worcester, MA 01609-2280 USA.",
pages = "38",
day = "15",
month = sep,
year = "2017",
bibdate = "Wed Sep 13 14:57:54 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbtalks/dhb-conant.pdf",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2017:CDA,
author = "David H. Bailey and Jonathan M. Borwein and Jason S.
Kimberley and Watson Ladd",
title = "Computer Discovery and Analysis of Large {Poisson}
Polynomials",
journal = j-EXP-MATH,
volume = "26",
number = "3",
pages = "349--363",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1180565",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y16 (11C08)",
MRnumber = "3642112",
MRreviewer = "{\'I}sabel Pirsic",
bibdate = "Tue Jun 6 09:17:18 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/3",
URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1180565",
abstract = "In two earlier studies of lattice sums arising from
the Poisson equation of mathematical physics, it was
established that the lattice sum $ (1 / \pi) \sum {m, n
{\rm odd}} \cos (m \pi x) \cos (n \pi y) / (m^2 + n^2)
= \log A $, where $A$ is an algebraic number, and
explicit minimal polynomials associated with $A$ were
computed for a few specific rational arguments $x$ and
$y$. Based on these results, one of us (Kimberley)
conjectured a number-theoretic formula for the degree
of $A$ in the case $ x = y = 1 / s$ for some integer
$s$. These earlier studies were hampered by the
enormous cost and complexity of the requisite
computations. In this study, we address the Poisson
polynomial problem with significantly more capable
computational tools. As a result of this improved
capability, we have confirmed that Kimberley's formula
holds for all integers $s$ up to 52 (except for $ s =
41, 43, 47, 49, 51$, which are still too costly to
test), and also for $ s = 60$ and $ s = 64$. As far as
we are aware, these computations, which employed up to
64,000-digit precision, producing polynomials with
degrees up to 512 and integer coefficients up to $
10^{229}$, constitute the largest successful integer
relation computations performed to date. By examining
the computed results, we found connections to a
sequence of polynomials defined in a 2010 paper by
Savin and Quarfoot. These investigations subsequently
led to a proof, given in the Appendix, of Kimberley's
formula and the fact that when $s$ is even, the
polynomial is palindromic (i.e., coefficient $ a_k =
a_{m - k}$, where $m$ is the degree).",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
keywords = "experimental mathematics; MPFR; multiprecision
computation; parallel computing; Poisson equation; PSLQ
algorithm",
onlinedate = "24 Aug 2016",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000400342000010",
}
@InCollection{Bailey:2017:CMV,
author = "David H. Bailey and Jonathan M. Borwein",
booktitle = "Space, Time, and Frontiers of Human Understanding",
title = "A computational mathematics view of space, time and
complexity",
crossref = "Wuppuluri:2017:STL",
pages = "403--416",
year = "2017",
DOI = "https://doi.org/10.1007/978-3-319-44418-5_32",
bibdate = "Sat Jan 21 18:28:46 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1696/",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:2017:ERMa,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado}",
title = "Evaluation and ranking of market forecasters",
type = "Preprint",
institution = "Department of Computer Science, University of
California, Davis",
address = "Davis, CA 95616, USA",
pages = "22",
day = "1",
month = mar,
year = "2017",
bibdate = "Wed Mar 01 10:45:15 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/forecaster.pdf;
https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2944853",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2017:ERMb,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado}",
title = "Evaluation and Ranking of Market Forecasters",
journal = "{SSRN} Electronic Journal",
year = "2017",
DOI = "https://doi.org/10.2139/ssrn.2944853",
bibdate = "Fri Feb 9 08:56:46 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2017:PBO,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Qiji Jim Zhu",
title = "The Probability of Backtest Overfitting",
journal = j-J-COMPUT-FINANCE,
volume = "20",
number = "4",
pages = "39--69",
month = apr,
year = "2017",
DOI = "https://doi.org/10.21314/JCF.2016.322",
ISSN = "1460-1559 (print), 1755-2850 (electronic)",
ISSN-L = "1460-1559",
bibdate = "Mon Oct 09 17:33:29 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1710/;
http://ssrn.com/abstract=2326253;
https://www.risk.net/journal-of-computational-finance/2471206/the-probability-of-backtest-overfitting",
abstract = "Many investment firms and portfolio managers rely on
backtests (ie, simulations of performance based on
historical market data) to select investment strategies
and allocate capital. Standard statistical techniques
designed to prevent regression overfitting, such as
hold-out, tend to be unreliable and inaccurate in the
context of investment backtests. We propose a general
framework to assess the probability of backtest
overfitting (PBO). We illustrate this framework with
specific generic, model-free and non-parametric
implementations in the context of investment
simulations; we call these implementations
combinatorially symmetric cross-validation (CSCV). We
show that CSCV produces reasonable estimates of PBO for
several useful examples.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Computational Finance",
journal-URL = "https://www.risk.net/journal-of-computational-finance",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000398686500003",
}
@Article{Bailey:2017:RCS,
author = "David H. Bailey and Jonathan M. Borwein and Richard P.
Brent and Mohsen Reisi",
title = "Reproducibility in Computational Science: A Case
Study: Randomness of the Digits of Pi",
journal = j-EXP-MATH,
volume = "26",
number = "3",
pages = "298--305",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1163755",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11K16 (03D32 11K45 62F03 62F35 62P99)",
MRnumber = "3642107",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Jun 6 09:17:18 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/3",
note = "See reply \cite{Ganz:2017:RRC}.",
URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1163755",
abstract = "Mathematical research is undergoing a transformation
from a mostly theoretical enterprise to one that
involves a significant amount of experimentation.
Indeed, computational and experimental mathematics is
now a full-fledged discipline with mathematics, and the
larger field of computational science is now taking its
place as an experimental discipline on a par with
traditional experimental fields. In this new realm,
reproducibility comes to the forefront as an essential
part of the computational research enterprise, and
establishing procedures to ensure and facilitate
reproducibility is now a central focus of researchers
in the field. In this study, we describe our attempts
to reproduce the results of a recently published
article by Reinhard Ganz, who concluded that the
decimal expansion of pi is not statistically random,
based on an analysis of several trillion decimal digits
provided by Yee and Kondo. While we are able to
reproduce the specific findings of Ganz, additional
statistical analysis leads us to reject his overall
conclusion.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "24 Aug 2016",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000400342000005",
}
@InCollection{Borwein:2017:AO,
author = "Jonathan M. Borwein",
editor = "George E. Andrews and Frank (Frank G.) Garvan",
booktitle = "Analytic Number Theory, Modular Forms and
$q$-Hypergeometric Series: in honor of {Krishna
Alladi}'s 60th birthday, {University of Florida,
Gainesville, March 2016}",
title = "Adventures with the {OEIS}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "123--138",
year = "2017",
DOI = "https://doi.org/10.1007/978-3-319-68376-8_9",
ISBN = "3-319-68375-6 (print), 3-319-68376-4 (e-book)",
ISBN-13 = "978-3-319-68375-1 (print), 978-3-319-68376-8
(e-book)",
ISSN = "2194-1009",
LCCN = "QA241",
MRclass = "33C90 (00A20)",
MRnumber = "3773916",
bibdate = "Fri Feb 9 09:07:33 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
book-DOI = "https://doi.org/10.1007/978-3-319-68376-8",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2017:CLA,
author = "Jonathan M. Borwein and Neil J. Calkin and Scott B.
Lindstrom and Andrew Mattingly",
title = "Continued Logarithms and Associated Continued
Fractions",
journal = j-EXP-MATH,
volume = "26",
number = "4",
pages = "412--429",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1195307",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "40A15 (11A55 11J70 11Y65)",
MRnumber = "3684575",
bibdate = "Fri Aug 18 08:39:18 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/4",
URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1195307",
abstract = "We investigate some of the connections between
continued fractions and continued logarithms. We study
the binary continued logarithms as introduced by Bill
Gosper and explore two generalizations of the continued
logarithm to base b. We show convergence for them using
equivalent forms of their corresponding continued
fractions. Through numerical experimentation, we
discover that, for one such formulation, the exponent
terms have finite arithmetic means for almost all real
numbers. This set of means, which we call the
logarithmic Khintchine numbers, has a pleasing
relationship with the geometric means of the
corresponding continued fraction terms. While the
classical Khintchine's constant is believed not to be
related to any naturally occurring number, we find
surprisingly that the logarithmic Khintchine numbers
are elementary.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "16 Sep 2016",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000407599500003",
}
@Article{Borwein:2017:CRA,
author = "Jonathan M. Borwein and Guoyin Li and Matthew K. Tam",
title = "Convergence Rate Analysis for Averaged Fixed Point
Iterations in Common Fixed Point Problems",
journal = j-SIAM-J-OPT,
volume = "27",
number = "1",
pages = "1--33",
month = jan,
year = "2017",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/15m1045223",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "41A25 (41A50 90C25 90C31)",
MRnumber = "3592082",
MRreviewer = "Heinz H. Bauschke",
bibdate = "Mon Jan 16 11:46:35 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
abstract = "In this paper, we establish sublinear and linear
convergence of fixed point iterations generated by
averaged operators in a Hilbert space. Our results are
achieved under a bounded Holder regularity assumption
which generalizes the well-known notion of bounded
linear regularity. As an application of our results, we
provide a convergence rate analysis for many important
iterative methods in solving broad mathematical
problems such as convex feasibility problems and
variational inequality problems. These include
Krasnoselskii-Mann iterations, the cyclic projection
algorithm, forward-backward splitting and the
Douglas--Rachford feasibility algorithm along with some
variants. In the important case in which the underlying
sets are convex sets described by convex polynomials in
a finite dimensional space, we show that the Holder
regularity properties are automatically satisfied, from
which sublinear convergence follows.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
onlinedate = "5 January 2017",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Li,
Guoyin/0000-0002-2099-7974",
unique-id = "ISI:000404178500001",
}
@Article{Borwein:2017:DDR,
author = "Jonathan M. Borwein and Scott B. Lindstrom and Brailey
Sims and Anna Schneider and Matthew P. Skerritt",
title = "Dynamics of the {Douglas--Rachford} Method for
Ellipses and $p$-Spheres",
journal = j-SET-VALUED-VAR-ANAL,
volume = "??",
number = "??",
pages = "1--19",
month = oct,
year = "2017",
DOI = "https://doi.org/10.1007/s11228-017-0457-0",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
MRclass = "47H99 49M30 65Q30 90C26",
bibdate = "Fri Feb 9 09:00:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
onlinedate = "23 October 2017",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2017:GCL,
author = "Jonathan M. Borwein and Kevin G. Hare and Jason G.
Lynch",
title = "Generalized continued logarithms and related continued
fractions",
journal = j-J-INTEGER-SEQ,
volume = "20",
number = "5",
pages = "Art. 17.5.7, 51",
year = "2017",
ISSN = "1530-7638",
MRclass = "11J70 (11K50)",
MRnumber = "3669604",
MRreviewer = "Christoph Baxa",
bibdate = "Fri Oct 13 15:06:06 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We study continued logarithms, as introduced by Gosper
and studied by Borwein et al. After providing an
overview of the type I and type II generalizations of
binary continued logarithms introduced by Borwein et
al., we focus on a new generalization to an arbitrary
integer base b. We show that all of our so-called type
III continued logarithms converge and all rational
numbers have finite type III continued logarithms. As
with simple continued fractions, we show that the
continued logarithm terms, for almost every real
number, follow a specific distribution. We also
generalize Khinchin's constant from simple continued
fractions to continued logarithms, and show that these
logarithmic Khinchin constants have an elementary
closed form. Finally, we show that simple continued
fractions are the limiting case of our continued
logarithms, and briefly consider how we could
generalize beyond continued logarithms.",
acknowledgement = ack-nhfb,
ajournal = "J. Integer Seq.",
article-number = "UNSP 17.5.7",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Integer Sequences",
journal-URL = "https://cs.uwaterloo.ca/journals/JIS/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000406528900003",
}
@Article{Borwein:2017:GEC,
author = "Jonathan M. Borwein",
title = "Generalisations, Examples, and Counter-examples in
Analysis and Optimisation: In honour of {Michel
Th{\'e}ra} at 70",
journal = j-SET-VALUED-VAR-ANAL,
volume = "25",
number = "3",
pages = "467--479",
month = sep,
year = "2017",
DOI = "https://doi.org/10.1007/s11228-016-0379-2",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
MRclass = "47H09 (49J52 90C25)",
MRnumber = "3694873",
MRreviewer = "Constantin Z{\u{a}}linescu",
bibdate = "Sat Aug 13 09:46:09 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special issue for Michel Th{\'e}ra at 70. 7th
International Seminar on Optimization and Variational
Analysis (OVA), Universidad Alicante, Alicante, Spain,
1--3 June 2016.",
URL = "http://docserver.carma.newcastle.edu.au/1688/;
http://link.springer.com/article/10.1007/s11228-016-0379-2",
abstract = "In this essay, I talk about the role of examples and
counter-examples and of generalisation in mathematical
research. I use geometric fixed point theory and
nonsmooth optimisation to illustrate my opinions and
conclude with a few recommendations.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
onlinedate = "5 August 2016",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000410259100002",
}
@InCollection{Borwein:2017:RMI,
author = "Jonathan M. Borwein and Matthew K. Tam",
booktitle = "Generalized {Nash} equilibrium problems, bilevel
programming and {MPEC}",
title = "Reflection methods for inverse problems with
applications to protein conformation determination",
publisher = "Springer",
address = "Singapore",
pages = "83--100",
year = "2017",
MRclass = "49J53 (92D20)",
MRnumber = "3791744",
bibdate = "Sat Jan 12 10:37:28 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Forum Interdiscip. Math.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2018:CEE,
author = "D. H. Bailey and J. M. Borwein",
title = "Computation and Experimental Evaluation of
{Mordell--Tornheim--Witten} Sum Derivatives",
journal = j-EXP-MATH,
volume = "27",
number = "3",
pages = "370--376",
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2017.1295687",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60 (01A70 11Y70)",
MRnumber = "3857671",
MRreviewer = "Duncan A. Buell",
bibdate = "Thu Sep 27 18:22:33 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/27/3",
URL = "http://www.davidhbailey.com/dhbpapers/omega-numerics.pdf;
http://www.tandfonline.com/doi/full/10.1080/10586458.2017.1295687",
abstract = "In previous studies the present authors and others
have studied in have studied Mordell--Tornheim--Witten
sums and their connections with multiple-zeta values.
In this note we describe the numerical computation of
derivatives at zero of a specialization originating in
[14] and studied further in [10, 15, 11], and the
experimental evaluation of these numerical values in
terms of well-known constants.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "17 Mar 2017",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2018:ERM,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado}",
title = "Evaluation and Ranking of Market Forecasters",
journal = j-J-INVESTMENT-MANAGE,
volume = "16",
number = "2",
pages = "47--64",
month = apr,
year = "2018",
DOI = "https://doi.org/10.2139/ssrn.2944853",
ISSN = "1545-9144 (print), 1545-9152 (electronic)",
ISSN-L = "1545-9144",
bibdate = "Thu May 03 14:55:44 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Investment Management",
journal-URL = "https://www.joim.com/library-archives/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2018:CAG,
author = "Jonathan M. Borwein and Ohad Giladi",
title = "Convex analysis in groups and semigroups: a sampler",
journal = j-MATH-PROG,
volume = "168",
number = "1--2 (Series B)",
pages = "11--53",
year = "2018",
CODEN = "MHPGA4",
DOI = "https://doi.org/10.1007/s10107-016-1010-x",
ISSN = "0025-5610",
MRclass = "49J27 (46N10 52A01)",
MRnumber = "3767739",
MRreviewer = "Juan-Enrique Mart\'{\i}nez-Legaz",
bibdate = "Tue Apr 17 09:00:42 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2018:DFE,
author = "Jonathan M. Borwein and Karl Dilcher",
title = "Derivatives and fast evaluation of the {Tornheim} zeta
function",
journal = j-RAMANUJAN-J,
volume = "45",
number = "2",
pages = "413--432",
month = feb,
year = "2018",
DOI = "https://doi.org/10.1007/s11139-017-9890-9",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11M41 (33B20 33B30)",
MRnumber = "3749750",
MRreviewer = "Steven Joel Miller",
bibdate = "Tue Feb 6 07:16:48 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "We study analytic properties of the Tornheim zeta
function $ \mathcal {W}(r, s, t) $, which is also named
after Mordell and Witten. In particular, we evaluate
the function $ \mathcal {W}(s, s, \tau s) $ ($ \tau >
0$) at $ s = 0 $ and, as our main result, find the
derivative of this function at $ s = 0 $. Our principal
tool is an identity due to Crandall that involves a
free parameter and provides an analytic continuation.
Furthermore, we derive special values of a permutation
sum. Throughout this paper, we show by way of examples
that Crandall's identity can be used for efficient and
high-precision evaluations of the Tornheim zeta
function.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
unique-id = "ISI:000423339500008",
}
@Article{Borwein:2018:EBD,
author = "Jonathan M. Borwein and Ohad Giladi",
title = "Ergodic behaviour of a {Douglas--Rachford} operator
away from the origin",
journal = j-J-NONLINEAR-CONVEX-ANAL,
volume = "19",
number = "8",
pages = "1395--1407",
year = "2018",
ISSN = "1345-4773 (print), 1880-5221 (electronic)",
ISSN-L = "1345-4773",
MRclass = "47J25 (47H25)",
MRnumber = "3896486",
MRreviewer = "Patrick L. Combettes",
bibdate = "Tue Oct 29 15:44:36 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Nonlinear and Convex Analysis. An
International Journal",
journal-URL = "http://www.ybook.co.jp/jnca.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2018:GFM,
author = "Jonathan M. Borwein and Robert M. Corless",
title = "Gamma and Factorial in the {{\booktitle{Monthly}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "125",
number = "5",
pages = "400--424",
month = may,
year = "2018",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2018.1420983",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33B15",
MRnumber = "3785875",
bibdate = "Tue Apr 17 09:02:26 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Since its inception in 1894, the Monthly has printed
50 articles on the $ \Gamma $ function or Stirling's
asymptotic formula, including the magisterial 1959
paper by Phillip J. Davis, which won the 1963 Chauvenet
prize, and the eye-opening 2000 paper by the Fields
medalist Manjul Bhargava. In this article, we look back
and comment on what has been said, and why, and try to
guess what will be said about the $ \Gamma $ function
in future Monthly issues.1 We also identify some gaps,
which surprised us: phase plots, Riemann surfaces, and
the functional inverse of $ \Gamma $ make their first
appearance in the Monthly here. We also give a new
elementary treatment of the asymptotics of $n!$ and the
first few terms of a new asymptotic formula for $\inv
\Gamma $.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "12 Apr 2018",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2019:CCM,
author = "Jonathan Borwein and Phil Howlett",
title = "Checkerboard copulas of maximum entropy with
prescribed mixed moments",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "107",
number = "3",
pages = "302--318",
year = "2019",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/s1446788718000228",
ISSN = "1446-7887",
MRclass = "62H05 (62B10 90C25 90C46)",
MRnumber = "4034592",
bibdate = "Wed Nov 3 10:35:19 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of the Australian Mathematical Society",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Bailey:2020:DFG,
author = "David H. Bailey and Jonathan M. Borwein and Amir
Salehipour and Marcos {L{\'o}pez de Prado}",
title = "Do Financial Gurus Produce Reliable Forecasts?",
crossref = "Bailey:2020:AVC",
pages = "255--274",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_17",
MRclass = "91G99 (62M20 91G70)",
MRnumber = "4100638",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:2020:EMF,
author = "Jonathan M. Borwein and Qiji J. Zhu",
title = "Entropy Maximization in Finance",
crossref = "Bailey:2020:AVC",
pages = "275--295",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_18",
MRclass = "91G80 (90C25 90C48 91B80)",
MRnumber = "4100639",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@InProceedings{Borwein:2020:SMC,
author = "David Borwein and Jonathan M. Borwein and Brailey
Sims",
title = "Symmetry and the Monotonicity of Certain {Riemann}
Sums",
crossref = "Bailey:2020:AVC",
pages = "7--20",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_2",
MRclass = "26A42 (26A09)",
MRnumber = "4100623",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:BRW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Book Review: {{\booktitle{Why Beliefs Matter:
Reflections on the Nature of Science}}}",
howpublished = "Math Drudge",
day = "12",
month = oct,
year = "2009",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/04/book-review-why-beliefs-matter-reflections-on-the-nature-of-science/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:ECR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Einstein} on the `cosmic religious feeling' as motive
for scientific research",
howpublished = "Math Drudge",
day = "10",
month = jun,
year = "2009",
bibdate = "Tue May 15 15:03:40 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/06/einstein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:HDE,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How did the economists get it so wrong",
howpublished = "Math Drudge",
day = "12",
month = sep,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/09/how-did-the-economists-get-it-so-wrong/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:JDB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{John D. Barrow's \booktitle{New Theories of
Everything}}",
howpublished = "Math Drudge",
day = "12",
month = oct,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/10/john-d-barrows-new-theories-of-everything/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:MPC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Misuse of probability by `creation scientists'",
howpublished = "Math Drudge",
day = "13",
month = aug,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/08/misuse-of-probability-by-creation-scientists-and-others/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:NRR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Numeracy, relative risk and public policy",
howpublished = "Math Drudge",
day = "25",
month = jun,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/07/innumeracy-and-assessment-of-relative-risk/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:SFW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Semiotic fiddling while a digital {Rome} burns",
howpublished = "Math Drudge",
day = "23",
month = jun,
year = "2009",
bibdate = "Tue May 15 15:05:02 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/06/50/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2009:UA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Unscientific {America}",
howpublished = "Math Drudge",
day = "1",
month = aug,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/08/unscientific-america/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2009:PM,
author = "Jonathan M. Borwein",
title = "The psychology of mathematics",
howpublished = "Math Drudge",
day = "15",
month = nov,
year = "2009",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2009/11/192/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:CGW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Creationism, global warming denial, and scientific
integrity",
howpublished = "Math Drudge",
day = "7",
month = mar,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/03/creationism-global-warming-denial-and-scientific-integrity/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:CMC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The confusing morass of copyright laws",
howpublished = "Math Drudge",
day = "28",
month = jan,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/01/the-confusing-morass-of-copyright-laws/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:CMT,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Can machines teach themselves",
howpublished = "Math Drudge",
day = "10",
month = oct,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/10/can-machines-teach-themselves-2/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:FPS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Fermi's Paradox} and {Stephen Hawking}",
howpublished = "Math Drudge",
day = "30",
month = apr,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib",
URL = "https://experimentalmath.info/blog/2010/04/fermis-paradox-and-stephen-hawking/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:GMD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The greatest mathematical discovery",
howpublished = "Math Drudge",
day = "6",
month = feb,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/02/the-greatest-mathematical-discovery/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:HRR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How reliable are the radiometric methods used for
geologic ages",
howpublished = "Math Drudge",
day = "14",
month = may,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/05/how-reliable-are-the-radiometric-methods-used-for-geologic-ages/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:LRI,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Latest research indicates we unconsciously pursue
goals",
howpublished = "Math Drudge",
day = "4",
month = jul,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/07/latest-research-indicates-we-unconsciously-pursue-goals/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:PTS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Political threats to science funding",
howpublished = "Math Drudge",
day = "12",
month = sep,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/09/political-threats-to-science-funding/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2010:SSM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Sad state of math and science education",
howpublished = "Math Drudge",
day = "7",
month = jan,
year = "2010",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2010/01/sad-state-of-math-and-science-education/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:AIS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Ancient {Indian} square roots",
howpublished = "Math Drudge",
day = "14",
month = jun,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/06/ancient-indian-square-roots/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:DDW,
author = "David Bailey and Jonathan Borwein",
title = "Danger of death: are we programmed to miscalculate
risk?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "8",
month = dec,
year = "2011",
bibdate = "Tue Aug 16 07:05:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/danger-of-death-are-we-programmed-to-miscalculate-risk-4598",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:GDW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The great decline of {Western} society: What are the
facts",
howpublished = "Math Drudge",
day = "23",
month = dec,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/12/the-great-decline-of-western-society-what-are-the-facts/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:GMDb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The Greatest Mathematical Discovery",
howpublished = "Math Drudge",
day = "9",
month = may,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/05/the-greatest-mathematical-discovery-2/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:HFEa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How far away is everybody",
howpublished = "Math Drudge",
day = "29",
month = sep,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/09/how-far-away-is-everybody/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:HFEb,
author = "David Bailey and Jonathan Borwein",
title = "How far away is everybody? {Climbing} the cosmic
ladder",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "24",
month = oct,
year = "2011",
bibdate = "Tue Aug 16 07:09:23 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/how-far-away-is-everybody-climbing-the-cosmic-distance-ladder-3548",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:IPR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Innumeracy and public risk",
howpublished = "Math Drudge",
day = "4",
month = dec,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/12/innumeracy-and-public-risk/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:IWV,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{IBM}'s `{Watson}' victorious: Our new computer
overlords",
howpublished = "Math Drudge",
day = "17",
month = feb,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/02/ibms-watson-victorious-our-new-computer-overlord/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:MAI,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is math ability inborn or developed",
howpublished = "Math Drudge",
day = "14",
month = aug,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/08/is-math-ability-inborn-or-developed/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:MD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Merchants of Doubt",
howpublished = "Math Drudge",
day = "17",
month = jul,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/07/merchants-of-doubt/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:MID,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is mathematics invented or discovered",
howpublished = "Math Drudge",
day = "7",
month = aug,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/08/is-mathematics-invented-or-discovered/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:MIN,
author = "David H. Bailey and Jonathan M. Borwein",
title = "That mysterious but important number zero",
howpublished = "Math Drudge",
day = "21",
month = nov,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/11/that-mysterious-but-important-number-zero/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:MNC,
author = "David Bailey and Jonathan Borwein",
title = "Magic numbers: counting the blessings of decimal
notation",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = aug,
year = "2011",
bibdate = "Tue Aug 16 07:10:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/magic-numbers-the-beauty-of-decimal-notation-2538",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:MSF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Mathematics and scientific fraud",
howpublished = "Math Drudge",
day = "3",
month = nov,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/11/mathematics-and-scientific-fraud/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:PBS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{PIIGS}, {BRICs} and {STRAW}",
howpublished = "Math Drudge",
day = "23",
month = jul,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/07/piigs-brics-and-straw/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:PGF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Pi goes on forever",
howpublished = "Math Drudge",
day = "9",
month = mar,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/03/pi-goes-on-forever/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:PMJ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Proposed mathematical journal rating system",
howpublished = "Math Drudge",
day = "20",
month = nov,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/11/proposed-mathematical-journal-rating-system/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:QTC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Quick tests for checking whether a new math result is
plausible",
howpublished = "Math Drudge",
day = "8",
month = jun,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/06/quick-tests-for-checking-whether-a-new-math-result-is-plausible/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:RDV,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The remarkable decline of violence",
howpublished = "Math Drudge",
day = "15",
month = dec,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/12/the-remarkable-decline-of-violence/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:SFW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Semiotic fiddling while a digital {Rome} burns",
howpublished = "Math Drudge",
day = "29",
month = may,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/05/semiotic-fiddling-while-a-digital-rome-burns/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:SMS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are science and mathematics socially constructed",
howpublished = "Math Drudge",
day = "29",
month = may,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/05/are-science-and-mathematics-socially-constructed/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:WDW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "What does {Watson}'s victory really mean",
howpublished = "Math Drudge",
day = "20",
month = feb,
year = "2011",
bibdate = "Tue May 15 15:05:07 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/02/what-does-watsons-victory-really-mean/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:WE,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Where is everybody",
howpublished = "Math Drudge",
day = "9",
month = sep,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/09/where-is-everybody/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:WED,
author = "David Bailey and Jonathan Borwein",
title = "Where is everybody? {Doing} the maths on
extraterrestrial life",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "15",
month = sep,
year = "2011",
bibdate = "Tue Aug 16 07:09:50 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/where-is-everybody-doing-the-maths-on-extraterrestrial-life-3390",
acknowledgement = ack-nhfb,
keywords = "Fermi's Paradox",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2011:WIB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "What if base-10 arithmetic had been discovered
earlier",
howpublished = "Math Drudge",
day = "27",
month = jul,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/07/what-if-base-10-arithmetic-had-been-discovered-earlier/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2011:WTD,
author = "David Bailey and Jonathan Borwein",
title = "When things don't add up: statistics, maths and
scientific fraud",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "13",
month = nov,
year = "2011",
bibdate = "Tue Aug 16 07:08:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part of series on The State Of Science.",
URL = "https://theconversation.com/when-things-dont-add-up-statistics-maths-and-scientific-fraud-4185",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2011:CCNa,
author = "Jonathan M. Borwein",
title = "Chiropractic: crackers now, and crackers way back
when",
howpublished = "Math Drudge",
day = "23",
month = dec,
year = "2011",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2011/12/chiropractic-crackers-now-and-crackers-way-back-when/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:CCNb,
author = "J. M. Borwein",
title = "Chiropractic: crackers now, and crackers way back
when",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = dec,
year = "2011",
bibdate = "Tue Aug 16 07:05:06 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/chiropractic-crackers-now-and-crackers-way-back-when-4836",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Debunks chiropractic treatment.",
}
@Article{Borwein:2011:IAP,
author = "Jonathan M. Borwein",
title = "The infinite appeal of Pi",
journal = "ABC Science",
volume = "??",
number = "??",
pages = "??",
day = "10",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 07:13:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.abc.net.au/science/articles/2011/03/10/3158045.htm",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:IBC,
author = "Jonathan Borwein",
title = "If {I} had a blank cheque {I}'d \ldots{} turn {IBM
Watson} into a maths genius",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "8",
month = jul,
year = "2011",
bibdate = "Tue Aug 16 07:11:24 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/if-i-had-a-blank-cheque-id-turn-ibms-watson-into-a-maths-genius-1213",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:PDNa,
author = "Jonathan Borwein",
title = "Are Pi's Days Numbered?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "4",
month = may,
year = "2011",
bibdate = "Tue Aug 16 07:57:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/are-pis-days-numbered-39",
acknowledgement = ack-nhfb,
keywords = "$\pi$, $\tau$",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2011:WMP,
author = "J. M. Borwein",
title = "Why are mathematics papers so dull?",
journal = j-SIAM-NEWS,
volume = "44",
number = "6",
pages = "7--7",
day = "15",
month = jul,
year = "2011",
ISSN = "0036-1437",
ISSN-L = "0036-1437",
bibdate = "Tue Aug 16 07:11:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1450/;
http://www.siam.org/news/news.php?id=1903",
acknowledgement = ack-nhfb,
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "The letter calls the improvement of math papers
through color, graphics, and more careful
typesetting.",
}
@Misc{Bailey:2012:ABS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Alarm bells sound over latest international test
scores",
howpublished = "Math Drudge",
day = "12",
month = dec,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/12/alarm-bells-sound-over-latest-international-test-scores/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:AECa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Algebra is essential in a 21st century economy",
howpublished = "Math Drudge",
day = "31",
month = jul,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/07/algebra-is-essential-in-a-21st-century-economy/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:AECb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Algebra is essential in a 21st century economy",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "1",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 06:56:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/jonathan-m-borwein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:BCCa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is believing in climate change `an insult to {God}'",
howpublished = "Math Drudge",
day = "6",
month = dec,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/12/is-believing-in-climate-change-an-insult-to-god/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:BCCb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is Believing in Climate Change ``An Insult to
{God}''?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "7",
month = dec,
year = "2012",
bibdate = "Tue Aug 16 06:51:48 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/climate-change-religion_b_2254016.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:BNB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Bad numbers are bad news",
howpublished = "Math Drudge",
day = "24",
month = jun,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/06/bad-numbers-are-bad-news/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:BNM,
author = "David Bailey and Jonathan Borwein",
title = "Bad numbers make for killer headlines -- and dodgy
news",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "26",
month = jun,
year = "2012",
bibdate = "Tue Aug 16 06:59:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/bad-numbers-make-for-killer-headlines-and-dodgy-news-7894",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Comments on overly-precise numbers.",
}
@Misc{Bailey:2012:CPGa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are computers playing games with us",
howpublished = "Math Drudge",
day = "27",
month = mar,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/03/are-computers-playing-games-with-us/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:CPGb,
author = "David A. Bailey and Jonathan M. Borwein",
title = "Are computers playing games with us?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "2",
month = apr,
year = "2012",
bibdate = "Tue Aug 16 07:01:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:DDW,
author = "David Bailey and Jonathan Borwein",
title = "Doctor, doctor: why so few scientists in politics?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "29",
month = feb,
year = "2012",
bibdate = "Tue Aug 16 07:03:18 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/doctor-doctor-why-so-few-scientists-in-top-government-jobs-5561",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:DMA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Does math anxiety trigger pain networks in the brain",
howpublished = "Math Drudge",
day = "31",
month = oct,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/10/does-math-anxiety-trigger-pain-networks-in-the-brain/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:DPR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Does probability refute evolution",
howpublished = "Math Drudge",
day = "22",
month = jan,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/01/does-probability-refute-evolution/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:ENP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Emmy Noether}: pillar of 20th century mathematics and
physics",
howpublished = "Math Drudge",
day = "27",
month = mar,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/03/emmy-noether-pillar-of-20th-century-mathematics-and-physics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:FFP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Feast or famine? {Promoting} green energy in an era of
abundant gas and oil",
howpublished = "Math Drudge",
day = "11",
month = jun,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/06/feast-or-famine-promoting-green-energy-in-an-era-of-abundant-gas-and-oil/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:GWD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Global warming denial and scientific integrity",
howpublished = "Math Drudge",
day = "10",
month = feb,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/02/global-warming-denial-and-scientific-integrity/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:HBU,
author = "David Bailey and Jonathan Borwein",
title = "Hot and bothered: the uncertain mathematics of global
warming",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "17",
month = feb,
year = "2012",
bibdate = "Tue Aug 16 07:03:58 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/hot-and-bothered-the-uncertain-mathematics-of-global-warming-5369",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:HMD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The heart of the matter: do scientific journalists
need ground rules",
howpublished = "Math Drudge",
day = "19",
month = oct,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/10/do-scientific-journalists-need-ground-rules/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:HOEa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How old is the earth? {Calculate} it for yourself",
howpublished = "Math Drudge",
day = "3",
month = mar,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/03/how-old-is-the-earth-calculate-it-for-yourself/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:HOEb,
author = "David Bailey and Jonathan Borwein",
title = "How old is {Earth}? {A} word to sceptics on the dating
game",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "22",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 07:02:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/how-old-is-earth-a-word-to-sceptics-on-the-dating-game-5971",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:HSG,
author = "David Bailey and Jonathan Borwein",
title = "How to sell green energy in an era of abundant gas and
oil",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "15",
month = jun,
year = "2012",
bibdate = "Tue Aug 16 06:59:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/how-to-sell-green-energy-in-an-era-of-abundant-gas-and-oil-7668",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:HSM,
author = "David Bailey and Jonathan Borwein",
title = "How to stop the media reporting science fiction as
fact",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = oct,
year = "2012",
bibdate = "Tue Aug 16 06:54:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/how-to-stop-the-media-reporting-science-fiction-as-fact-10252",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:JCD,
author = "David Bailey and Jonathan Borwein",
title = "Just out of {Curiosity}, did life on {Earth} come from
{Mars}?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = dec,
year = "2012",
bibdate = "Tue Aug 16 06:52:24 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/just-out-of-curiosity-did-life-on-earth-come-from-mars-11109",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:LMM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Life on {Mars}!? {Maybe} we are all {Martians}",
howpublished = "Math Drudge",
day = "3",
month = dec,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/12/life-on-mars-maybe-we-are-all-martians/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:MLF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Moore's Law} and the future of science and
mathematics",
howpublished = "Math Drudge",
day = "2",
month = jan,
year = "2012",
bibdate = "Tue Aug 16 08:15:48 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Condensed and revised version appears in
\cite{Bailey:2012:MMD}.",
URL = "https://experimentalmath.info/blog/2012/01/moores-law-and-the-future-of-science-and-mathematics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:MMD,
author = "David Bailey and Jonathan Borwein",
title = "Make mine a double: {Moore's Law} and the future of
mathematics",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "28",
month = jan,
year = "2012",
bibdate = "Tue Aug 16 07:04:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Condensed and revised version of
\cite{Bailey:2012:MLF}.",
URL = "https://theconversation.com/make-mine-a-double-moores-law-and-the-future-of-mathematics-4957",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:MPI,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Mathematician\slash physicist\slash inventor {Richard
Crandall} dies at 64",
howpublished = "Math Drudge",
day = "21",
month = dec,
year = "2012",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
URL = "https://experimentalmath.info/blog/2012/12/mathematicianphysicistinventor-richard-crandall-dies-at-64/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:MSFa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is modern science `forever tentative' and `socially
constructed'? {No} Way",
howpublished = "Math Drudge",
day = "31",
month = may,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/05/is-modern-science-forever-tentative-and-socially-constructed-no-way/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:MSFb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is modern science `forever tentative' and `socially
constructed?' {No} Way!",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "7",
month = jun,
year = "2012",
bibdate = "Tue Aug 16 07:00:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/jonathan-m-borwein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:NCM,
author = "David Bailey and Jonathan Borwein",
title = "Newly calculated: maths anxiety triggers pain in the
brain",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "2",
month = nov,
year = "2012",
bibdate = "Tue Aug 16 06:54:20 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/newly-calculated-maths-anxiety-triggers-pain-in-the-brain-10453",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:NCT,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Numeracy crisis threatens first-world economies",
howpublished = "Math Drudge",
day = "4",
month = mar,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/03/numeracy-crisis-threatens-first-world-economies/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:NNUa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Numerical nonsense in the {U.S.} presidential
campaign",
howpublished = "Math Drudge",
day = "17",
month = aug,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/08/numerical-nonsense-in-the-u-s-presidential-campaign/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:NNUb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Numerical nonsense in the {U.S.} presidential
campaign",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "18",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 06:56:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/jonathan-m-borwein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:PCC,
author = "David Bailey and Jonathan Borwein",
title = "Person or computer: could you pass the {Turing
Test}?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = may,
year = "2012",
bibdate = "Tue Aug 16 07:00:58 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
URL = "https://theconversation.com/person-or-computer-could-you-pass-the-turing-test-6769",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:PQM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Poor-quality math and computer science courses
threaten technological leadership",
howpublished = "Math Drudge",
day = "10",
month = jan,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/01/poor-quality-math-and-computer-science-courses-threaten-technological-leadership/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:SMA,
author = "David Bailey and Jonathan Borwein",
title = "Smart meters are about as dangerous as \ldots{}",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = oct,
year = "2012",
bibdate = "Tue Aug 16 06:55:22 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/smart-meters-are-about-as-dangerous-as-9413",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:SMD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Smart meters for dummies",
howpublished = "Math Drudge",
day = "6",
month = sep,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/09/smart-meters-for-dummies/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:SMF,
author = "David Bailey and Jonathan Borwein",
title = "School maths is failing children --- a {US} and
{Australian} perspective",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "25",
month = jul,
year = "2012",
bibdate = "Tue Aug 16 06:58:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/school-maths-is-failing-children-a-us-and-australian-perspective-8397",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:SOAa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{{\booktitle{2001: A Space Odyssey}}}: Art versus 2012
reality",
howpublished = "Math Drudge",
day = "31",
month = may,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/05/2001-a-space-odyssey-art-versus-2012-reality/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:SOAb,
author = "David A. Bailey and Jonathan M. Borwein",
title = "{{\booktitle{2001: A Space Odyssey}}}: Art versus 2012
reality",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "9",
month = may,
year = "2012",
bibdate = "Tue Aug 16 07:00:35 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/2001-a-space-odyssey-art-_b_1501750.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:SPW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Scientists in politics: What is the score, and what
can be done",
howpublished = "Math Drudge",
day = "16",
month = feb,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/02/scientists-in-politics-what-is-the-score-and-what-can-be-done/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:TPA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Talking points for `Algebra is essential in a 21st
century economy'",
howpublished = "Math Drudge",
day = "9",
month = aug,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/08/talking-points-for-algebra-is-essential-in-a-21st-century-economy/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:UPK,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The uneven preparation of {K--12} math teachers",
howpublished = "Math Drudge",
day = "19",
month = jul,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/07/the-uneven-preparation-of-k-12-math-teachers/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:WDL,
author = "David H. Bailey and Jonathan M. Borwein",
title = "What does the latest {DNA} data say about evolution",
howpublished = "Math Drudge",
day = "1",
month = may,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/05/what-does-the-latest-dna-data-say-about-evolution/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:WED,
author = "David H. Bailey and Jonathan M. Borwein",
title = "What on earth do they think? {U.S.} politicians on the
age of the planet",
howpublished = "Math Drudge",
day = "19",
month = nov,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/11/what-on-earth-do-they-think-u-s-politicians-on-the-age-of-the-planet/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2012:WEW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "What on earth were they thinking? {U.S.} politicians
on the age of the planet",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "4",
month = dec,
year = "2012",
bibdate = "Tue Aug 16 06:53:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/jonathan-m-borwein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2012:YMA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is your mate actually a computer? {Would} you pass the
{``Turing test''}?",
howpublished = "Math Drudge",
day = "27",
month = apr,
year = "2012",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
URL = "https://experimentalmath.info/blog/2012/04/will-computers-soon-pass-the-turing-test/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2012:ARM,
author = "Jonathan M. Borwein",
title = "{Ann Romney} and my Brother",
howpublished = "Math Drudge",
day = "31",
month = aug,
year = "2012",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2012/08/ann-romney-and-my-brother/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:EWC,
author = "Jonathan Borwein and Michael Rose",
title = "Explainer: what is Chaos Theory?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "19",
month = nov,
year = "2012",
bibdate = "Tue Aug 16 06:53:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/explainer-what-is-chaos-theory-10620",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:PDAa,
author = "Jonathan M. Borwein",
title = "Pi Day in {America}",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "15",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 07:02:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/jonathan-m-borwein/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2012:YTN,
author = "Jonathan M. Borwein and David H. Bailey",
title = "Yes, there's a numeracy crisis --- so what's the
solution?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "12",
month = apr,
year = "2012",
bibdate = "Tue Aug 16 08:09:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/yes-theres-a-numeracy-crisis-so-whats-the-solution-6386",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:AI,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "The art of investing",
howpublished = "Mathematical Investor",
day = "15",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/11/the-art-of-investing/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:APJ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The {Abel Prize} on {Jeopardy}",
howpublished = "Math Drudge",
day = "10",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/the-abel-prize-on-jeopardy/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:BSF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Brown}, {Sokal} and {Friedman} on nonsense in
psychology",
howpublished = "Math Drudge",
day = "18",
month = jul,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/07/sokal-on-nonsense-in-psychology/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:CLFa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The colorful life of the four-color theorem: A tribute
to {Kenneth Appel}",
howpublished = "Math Drudge",
day = "7",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/the-colorful-life-of-the-four-color-theorem-a-tribute-to-kenneth-appel/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:CLFb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The Colorful Life of the {Four-Color Theorem}: A
Tribute to {Kenneth Appel}",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "8",
month = may,
year = "2013",
bibdate = "Mon Aug 15 18:32:20 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/kenneth-appel-four-color-theorem_b_3233775.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:CSD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Criminology, sports drug testing and evolution",
howpublished = "Math Drudge",
day = "1",
month = apr,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/04/criminology-sports-drug-testing-and-evolution/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:DDL,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Did dinosaurs live with humans? {Were} dragons real",
howpublished = "Math Drudge",
day = "27",
month = aug,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/08/did-dinosaurs-live-with-humans-were-dragons-real/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:DLC,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Do large cap stocks boost portfolio performance at
year's end",
howpublished = "Mathematical Investor",
day = "28",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/11/do-large-cap-stocks-boost-portfolio-performance-at-years-end/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:DPRa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are the digits of pi random",
howpublished = "Math Drudge",
day = "15",
month = apr,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/04/are-the-digits-of-pi-random/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:DPRb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are the Digits of Pi Random?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "16",
month = apr,
year = "2013",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/are-the-digits-of-pi-random_b_3085725.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:DYS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Danger, you're at serious risk of \ldots{} no, sorry,
it's all relative",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "15",
month = feb,
year = "2013",
bibdate = "Tue Aug 16 06:50:27 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/danger-youre-at-serious-risk-of-no-sorry-its-all-relative-12218",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:FFE,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Fraud, foolishness and error in scientific research",
howpublished = "Math Drudge",
day = "4",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/fraud-foolishness-and-error-in-scientific-research/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:FWJ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Frank W. J. Olver} (1924--2013)",
howpublished = "Math Drudge",
day = "12",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/frank-w-j-olver-1924-2013/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:GGA,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Glum and glummer: {Australia} vs {US} on science
literacy results",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "19",
month = jul,
year = "2013",
bibdate = "Mon Aug 15 18:30:18 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/glum-and-glummer-australia-vs-us-on-science-literacy-results-16222",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:GIW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Getting it wrong: {Australian} science literacy hits
new low",
howpublished = "Math Drudge",
day = "17",
month = jul,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/07/australian-science-literacy-hits-new-low/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:HBW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The {Higgs} boson: What does it mean",
howpublished = "Math Drudge",
day = "18",
month = mar,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/03/the-higgs-boson-what-does-it-mean/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:HHL,
author = "David H. Bailey and Jonathan M. Borwein",
title = "A {Higgs}, the {Higgs} \ldots{} is maths at the root
of reality?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "21",
month = mar,
year = "2013",
bibdate = "Mon Aug 15 18:35:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/a-higgs-the-higgs-is-maths-at-the-root-of-reality-12943",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:HNHa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Hype now, hide later: No way to do scientific
research",
howpublished = "Math Drudge",
day = "26",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/hype-now-hide-later-no-way-to-do-scientific-research/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:HNHb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Hype Now, Hide Later: No Way to Do Scientific
Research",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "28",
month = may,
year = "2013",
bibdate = "Mon Aug 15 18:31:20 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/scientific-research_b_3340682.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:IIE,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Are individual investors equipped to make basic
financial decisions",
howpublished = "Mathematical Investor",
day = "30",
month = dec,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/12/are-individual-investors-equipped-to-make-basic-financial-decisions/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:LJW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The last {Japanese WWII} holdout: A lesson for
creationists",
howpublished = "Math Drudge",
day = "1",
month = apr,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/04/the-last-japanese-wwii-holdout-a-lesson-for-creationists/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:MBP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{March 26, 2013}: The 100th birthday of {Paul
Erd{\H{o}}s}",
howpublished = "Math Drudge",
day = "25",
month = mar,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/03/march-26-2013-the-100th-birthday-of-paul-erdos/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:MHI,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "The myth of the {Halloween} indicator",
howpublished = "Mathematical Investor",
day = "15",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/11/the-myth-of-the-halloween-indicator/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:MLW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Massachusetts} leads the way in science and math
education",
howpublished = "Math Drudge",
day = "3",
month = sep,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/09/massachusetts-leads-the-way-in-science-and-math-education/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:MPS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The mad politics of science funding",
howpublished = "Math Drudge",
day = "8",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/the-politics-of-science-funding/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:PIT,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{PISA} international test scores show {Australia},
{Canada}, {UK}, {USA} lagging",
howpublished = "Math Drudge",
day = "6",
month = dec,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/12/pisa-international-test-scores-show-australia-canada-uk-usa-lagging/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:PMTa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Please mess with {Texas}: {Texas} textbook fiasco
threatens {US} science",
howpublished = "Math Drudge",
day = "15",
month = sep,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/09/texas-textbook-fiasco-threatens-us-science/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:PMTb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Please mess with {Texas}: {Texas} textbook fiasco
threatens {US} science",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "18",
month = sep,
year = "2013",
bibdate = "Mon Aug 15 18:29:37 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/texas-textbooks-science_b_3935203.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:PS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Pi in the {Simpsons}",
howpublished = "Math Drudge",
day = "18",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/11/pi-in-the-simpsons/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:PSD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Plagiarism is a symptom not a disease",
howpublished = "Math Drudge",
day = "31",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/plagiarism-is-a-symptom-not-a-disease/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:RRE,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The {Reinhart--Rogoff} error or how not to {Excel} at
economics",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = apr,
year = "2013",
bibdate = "Mon Aug 15 18:33:26 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.edu.au/profiles/jon-borwein-101",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:RRR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Reliability, reproducibility and the
{Reinhart--Rogoff} error",
howpublished = "Math Drudge",
day = "18",
month = apr,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/04/reliability-reproducibility-and-the-reinhart-rogoff-error/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:SDOa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Set the default to `open': Reproducible science in the
computer age",
howpublished = "Math Drudge",
day = "20",
month = jan,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/01/set-the-default-to-open-reproducible-science-in-the-computer-age/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:SDOb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Set the default to ``open'': Reproducible science in
the computer age",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "7",
month = feb,
year = "2013",
bibdate = "Tue Aug 16 06:51:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/set-the-default-to-open-r_b_2635850.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:SFS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Scientific fraud, sloppy science yes, they happen",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "6",
month = may,
year = "2013",
bibdate = "Mon Aug 15 18:32:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/scientific-fraud-sloppy-science-yes-they-happen-13948",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:SMDa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Smart meters, dumb science",
howpublished = "Math Drudge",
day = "26",
month = feb,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/02/smart-meters-dumb-science/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:SMDb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Smart Meters, Dumb Science",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "28",
month = feb,
year = "2013",
bibdate = "Tue Aug 16 06:49:42 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/smart-meters-dumb-science_b_2768405.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:SNR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Scientific nonsense and relative risk",
howpublished = "Math Drudge",
day = "13",
month = feb,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/02/scientific-nonsense-and-relative-risk/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:SSF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Stupid science funding decisions? {Australia}'s not
the only dunce",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "12",
month = may,
year = "2013",
bibdate = "Mon Aug 15 18:31:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/stupid-science-funding-decisions-australias-not-the-only-dunce-14087",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:TBK,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Troubles beset {Kentucky}'s {Creation Museum}",
howpublished = "Math Drudge",
day = "27",
month = aug,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/08/troubles-beset-kentuckys-creation-museum/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:TBR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Two breakthrough results in number theory",
howpublished = "Math Drudge",
day = "24",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/05/two-breakthrough-results-in-number-theory/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:TTF,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "The two towers of finance",
howpublished = "Mathematical Investor",
day = "21",
month = oct,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/10/the-two-towers-of-finance/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:TTK,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Two tales of the {Kelly} formula",
howpublished = "Mathematical Investor",
day = "27",
month = oct,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/10/two-tales-of-the-kelly-formula/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:TTS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Tipsy tottering, sunlight and the smell of coffee:
it's all random",
howpublished = "Math Drudge",
day = "18",
month = dec,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/12/tipsy-tottering-sunlight-and-the-smell-of-coffee-its-all-random/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:WSBa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "When skepticism becomes denial: The unholy alliance
between science denial movements",
howpublished = "Math Drudge",
day = "3",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/11/when-skepticism-becomes-denial-the-unholy-alliance-between-science-denial-movements/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:WSBb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "When Skepticism Becomes Denial: The Unholy Alliance
Between Science Denial Movements",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "5",
month = nov,
year = "2013",
bibdate = "Mon Aug 15 18:29:10 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/when-skepticism-becomes-d_b_4215286.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:WWC,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "What {Wittgenstein} can teach all of us about
investing",
howpublished = "Mathematical Investor",
day = "28",
month = dec,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2013/12/what-wittgenstein-can-teach-all-of-us-about-investing/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2013:WWWa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why {E. O. Wilson} is wrong",
howpublished = "Math Drudge",
day = "17",
month = apr,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/04/why-e-o-wilson-is-wrong/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:WWWb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why {E. O. Wilson} is wrong",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "17",
month = apr,
year = "2013",
bibdate = "Mon Aug 15 18:33:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/why-eo-wilson-is-wrong_b_3103122.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2013:YWF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "You wait forever for number theory results \ldots{}
then two come along at once",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = jun,
year = "2013",
bibdate = "Mon Aug 15 18:30:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.edu.au/profiles/jon-borwein-101",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2013:ANFa,
author = "Jonathan M. Borwein",
title = "{Australia} needs fundamental research to build a
great country",
howpublished = "Math Drudge",
day = "11",
month = nov,
year = "2013",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/11/australia-needs-fundamental-research-to-build-a-great-country/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:ANFb,
author = "J. M. Borwein",
title = "{Australia} needs fundamental research to build a
great country",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "11",
month = nov,
year = "2013",
bibdate = "Mon Aug 15 18:28:36 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/australia-needs-fundamental-research-to-build-a-great-country-20031",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:DLP,
author = "J. M. Borwein",
title = "Don't let politics drive research goals",
journal = "Newcastle Herald",
volume = "",
number = "",
pages = "11--11",
day = "25",
month = nov,
year = "2013",
bibdate = "Tue Aug 23 09:35:55 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.theherald.com.au/story/1931600/opinion;
http://www.theherald.com.au/story/1931600/opinion-dont-let-politics-drive-research-goals/;
https://theconversation.edu.au/profiles/jon-borwein-101",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2013:TTS,
author = "J. M. Borwein and Michael Rose",
title = "Tipsy tottering, sunlight and the smell of coffee: its
all random",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "19",
month = dec,
year = "2013",
bibdate = "Mon Aug 15 18:27:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/tipsy-tottering-sunlight-and-the-smell-of-coffee-its-all-random-21598",
acknowledgement = ack-nhfb,
keywords = "random walks",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Thera:2013:MRR,
author = "Michel Thera and Brailey Sims and Jonathan M.
Borwein",
title = "In Memoriam: {Robert R. Phelps} (1926--2013)",
howpublished = "Math Drudge",
day = "17",
month = feb,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2013/02/in-memoriam-robert-r-phelps/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:BBB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Big Bucks for Big Breakthroughs: Prize recipients give
three million dollar maths talks",
howpublished = "Math Drudge",
day = "11",
month = nov,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/11/breakthrough-prize-recipients-give-math-seminar-talks/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:CPF,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Is `cherry picking' a factor in hedge fund
performance",
howpublished = "Mathematical Investor",
day = "25",
month = sep,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/09/is-cherry-picking-a-factor-in-hedge-fund-performance/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:CPP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Can Pi Be Trademarked?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "20",
month = jun,
year = "2014",
bibdate = "Mon Aug 15 18:22:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/can-pi-be-trademarked_b_5513392.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:CPT,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Can Pi be trademarked",
howpublished = "Math Drudge",
day = "11",
month = jun,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/06/can-pi-be-trademarked-2/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:DDDa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Dubious digits: Is this data really that accurate",
howpublished = "Math Drudge",
day = "8",
month = nov,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/11/dubious-digits-is-this-data-really-that-accurate/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:DDDb,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Dubious digits: Is this data really that accurate",
howpublished = "Mathematical Investor",
day = "9",
month = nov,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/11/dubious-digits-is-this-data-really-that-accurate/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:DDDc,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Dubious Digits: Is This Data Really That Accurate?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "10",
month = nov,
year = "2014",
bibdate = "Mon Aug 15 18:16:04 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/dubious-digits-is-this-da_b_6129864.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:DNB,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Do new backtested index {ETFs} outperform the market",
howpublished = "Mathematical Investor",
day = "23",
month = apr,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/04/do-new-backtested-index-etfs-outperform-the-market/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:FBO,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "{FAQs} on backtest overfitting",
howpublished = "Mathematical Investor",
day = "13",
month = apr,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/04/faqs-on-backtest-overfitting/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:FEHa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Fusion energy: Hope or hype",
howpublished = "Math Drudge",
day = "18",
month = oct,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/10/fusion-energy-hope-or-hype/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:FEHb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Fusion Energy: Hope or Hype?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = oct,
year = "2014",
bibdate = "Mon Aug 15 18:17:08 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/fusion-energy-hope-or-hype_b_6031968.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:FFQ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "To frack or not to frack: That is the question",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "9",
month = sep,
year = "2014",
bibdate = "Mon Aug 15 18:18:50 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/to-frack-or-not-to-frack-that-is-the-question_b_5781634.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:FFT,
author = "David H. Bailey and Jonathan M. Borwein",
title = "To frack or not to frack: That's not the question",
howpublished = "Math Drudge",
day = "7",
month = sep,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/09/to-frack-or-not-to-frack-thats-not-the-question/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:FKP,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "{Fedspeak}, {Karl Popper} and market directions",
howpublished = "Mathematical Investor",
day = "19",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/01/fedspeak-karl-popper-and-market-directions/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:FPC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Formal proof completed for {Kepler}'s conjecture on
sphere packing",
howpublished = "Math Drudge",
day = "16",
month = aug,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
URL = "https://experimentalmath.info/blog/2014/08/formal-proof-completed-for-keplers-conjecture-on-sphere-packing/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:GWC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Gravitational waves confirm mathematical prediction of
inflationary big bang",
howpublished = "Math Drudge",
day = "18",
month = mar,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/03/gravitational-waves-confirm-mathematical-prediction-of-inflationary-big-bang/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:HFLa,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "How financially literate are individual investors",
howpublished = "Mathematical Investor",
day = "19",
month = jul,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/07/how-financially-literate-are-individual-investors/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:HFLb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How Financially Literate Is the Investing Public?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "29",
month = jul,
year = "2014",
bibdate = "Mon Aug 15 18:21:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/how-financially-literate-investing-public_b_5625649.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:HMP,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "How have 2014 market prophets fared",
howpublished = "Mathematical Investor",
day = "2",
month = dec,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/12/how-have-2014-market-prophets-fared/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:IIC,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Index investing: `Confidence in the mathematics'",
howpublished = "Mathematical Investor",
day = "4",
month = nov,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/11/index-investing-confidence-in-the-mathematics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:LDR,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Latest {DALBAR} report underscores poor long-term
performance of individual investors",
howpublished = "Mathematical Investor",
day = "9",
month = may,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/05/latest-dalbar-report-underscores-poor-long-term-performance-of-individual-investors/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:LENa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Low energy nuclear reactions: Papers and patents",
howpublished = "Math Drudge",
day = "19",
month = nov,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/11/low-energy-nuclear-reactions-papers-and-patents/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:LENb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Low Energy Nuclear Reactions: Papers and Patents",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "28",
month = nov,
year = "2014",
bibdate = "Mon Aug 15 18:14:37 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/low-energy-nuclear-reacti_b_6189772.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:MTO,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Max Tegmark}'s {{\booktitle{Our Mathematical
Universe}}}",
howpublished = "Math Drudge",
day = "31",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/01/max-tegmarks-our-mathematical-universe/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:NOT,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "New online tool to demonstrate backtest overfitting",
howpublished = "Mathematical Investor",
day = "28",
month = aug,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/08/new-online-tool-to-demonstrate-backtest-overfitting/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:NRP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "New results on the prime gap conjecture",
howpublished = "Math Drudge",
day = "11",
month = dec,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/12/new-results-on-the-prime-gap-conjecture/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:OBH,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are our brains hard-wired for numbers",
howpublished = "Math Drudge",
day = "14",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/01/are-our-brains-hard-wired-for-numbers/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:OCEa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Opportunities and challenges in experimental
mathematics",
howpublished = "Math Drudge",
day = "26",
month = aug,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/08/opportunities-and-challenges-in-experimental-mathematics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:PDa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Pi day} 3.14 (14)",
howpublished = "Math Drudge",
day = "23",
month = feb,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/02/pi-day-3-14-14/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:PDb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Pi day 3.14 (14)",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "15",
month = mar,
year = "2014",
bibdate = "Mon Aug 15 18:25:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/pi-day-314-14_b_4851011.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:PMFa,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Pseudo-mathematics and financial charlatanism",
howpublished = "Mathematical Investor",
day = "4",
month = apr,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.financial-math.org/blog/2014/04/pseudo-mathematics-and-financial-charlatanism/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:PNM,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is philosophy needed in mathematics and science",
howpublished = "Math Drudge",
day = "13",
month = may,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/03/is-philosophy-needed-in-mathematics-and-science/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:RDP,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Review of {{\booktitle{Dark Pools}}} and
{{\booktitle{Flash Boys}}}",
howpublished = "Mathematical Investor",
day = "18",
month = apr,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.financial-math.org/blog/2014/04/review-of-dark-pools-and-flash-boys/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:SAF,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "A sobering analysis of financial gurus' market
forecasts",
howpublished = "Mathematical Investor",
day = "30",
month = mar,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/03/a-sobering-analysis-of-financial-gurus-forecasts/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:SCF,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "The `scary chart' fallacy",
howpublished = "Mathematical Investor",
day = "16",
month = feb,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/02/the-scary-chart-fallacy/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:SDJ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "The significance of digits: just how reliable are
reported numbers?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "27",
month = nov,
year = "2014",
bibdate = "Mon Aug 15 18:15:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/the-significance-of-digits-just-how-reliable-are-reported-numbers-34295",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:SIA,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Seminar at the {International Association for
Quantitative Finance}",
howpublished = "Mathematical Investor",
day = "14",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/01/seminar-at-the-international-association-for-quantitative-finance/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:SMW,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Is the stock market weaker during mid-term election
years",
howpublished = "Mathematical Investor",
day = "16",
month = apr,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/04/is-the-stock-market-weaker-during-mid-term-election-years/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:SPN,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "SEC to propose new rules for high-frequency trading",
howpublished = "Mathematical Investor",
day = "7",
month = jun,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/06/sec-to-propose-new-rules-for-high-frequency-trading/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:TEW,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Testing early warning indicators",
howpublished = "Mathematical Investor",
day = "5",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2014/01/testing-early-warning-indicators/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:TW,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Tilting at windmills",
howpublished = "Math Drudge",
day = "17",
month = sep,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/09/tilting-at-windmills/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:WCG,
author = "David H. Bailey and Jonathan M. Borwein",
title = "We still can't get enough pi \ldots{} but why?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "13",
month = mar,
year = "2014",
bibdate = "Tue Aug 16 08:12:32 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/we-still-cant-get-enough-pi-but-why-23960",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2014:WMBa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why mathematics is beautiful and why that matters",
howpublished = "Math Drudge",
day = "14",
month = feb,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2014/02/why-mathematics-is-beautiful-and-why-it-matters/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:WMBb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why mathematics is beautiful and why that matters",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "18",
month = feb,
year = "2014",
bibdate = "Mon Aug 15 18:26:21 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/why-mathematics-matters_b_4794617.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2014:WSP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "When science and philosophy collide in a `fine-tuned'
universe",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = apr,
year = "2014",
bibdate = "Mon Aug 15 18:24:35 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:BRB,
author = "Jonathan M. {Borwein} and Brailey {Sims}",
title = "Book review of: {A. Lo Bello, \booktitle{Origins of
mathematical words. A comprehensive dictionary of
Latin, Greek and Arabic roots}}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "41",
number = "2",
pages = "116--118",
month = may,
year = "2014",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
MRnumber = "00A17 01-02 01A05 00A20",
bibdate = "Wed May 2 09:55:47 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.austms.org.au/Publ/Gazette/2014/May14/BkRev.pdf",
ZMnumber = "1329.00048",
acknowledgement = ack-nhfb,
ajournal = "Aust. Math. Soc. Gaz.",
fjournal = "Australian Mathematical Society Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:BTM,
author = "J. M. Borwein",
title = "Budget 2014: there's more to science than medical
research",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "13",
month = may,
year = "2014",
bibdate = "Mon Aug 15 18:23:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/budget-2014-theres-more-to-science-than-medical-research-26632",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:CCB,
author = "Jonathan Borwein and Michael Rose",
title = "Clearing up confusion between correlation and
causation",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "22",
month = sep,
year = "2014",
bibdate = "Tue Aug 16 07:32:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/clearing-up-confusion-between-correlation-and-causation-30761",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:ECC,
author = "J. M. Borwein and M. Rose",
title = "Explainer: clearing up confusion between correlation
and causation",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = sep,
year = "2014",
bibdate = "Mon Aug 15 18:17:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.edu.au/profiles/jon-borwein-101",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:HBW,
author = "J. M. Borwein and M. Rose",
title = "How betting works and why the {Melbourne Cup} skews
the odds",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "30",
month = oct,
year = "2014",
bibdate = "Mon Aug 15 18:16:24 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/how-betting-works-and-why-the-melbourne-cup-skews-the-odds-33357",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2014:MIP,
author = "Jonathan M. Borwein",
title = "The {{\booktitle{Mathematical Investor}}}: A personal
perspective by {JMB}",
howpublished = "Mathematical Investor",
day = "7",
month = jan,
year = "2014",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.financial-math.org/blog/2014/01/the-mathematical-investor-a-personal-perspective-by-jmb/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2014:MWF,
author = "J. M. Borwein",
title = "Meet the winners of the {Fields Medal}: the `{Nobel
Prize} of maths'",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "12",
month = aug,
year = "2014",
bibdate = "Mon Aug 15 18:20:42 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/meet-the-winners-of-the-fields-medal-the-nobel-prize-of-maths-30411",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:AAF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Amir Aczel}'s {{\booktitle{Finding Zero}}}",
howpublished = "Math Drudge",
day = "13",
month = jan,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/01/amir-aczels-finding-zero/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:CFHa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Cold fusion heats up: Fusion energy and {LENR}
update",
howpublished = "Math Drudge",
day = "27",
month = aug,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/08/cold-fusion-heats-up-fusion-energy-and-lenr-update/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:CFHb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Cold Fusion Heats Up: Fusion Energy and {LENR}
Update",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "27",
month = aug,
year = "2015",
bibdate = "Mon Aug 15 18:05:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/post_10010_b_8052326.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:DGC,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Does Gun Control Encourage Crime? {The} Science of
Crime Statistics",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = aug,
year = "2015",
bibdate = "Mon Aug 15 18:06:22 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/does-gun-control-encourage-crime_b_7917684.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:DII,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Do individual investors understand {Social Security}
and its overseas counterparts",
howpublished = "Mathematical Investor",
day = "16",
month = jun,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/06/do-individual-investors-understand-social-security-and-its-overseas-counterparts/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:DPO,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Does public opinion always agree with scientific
fact",
howpublished = "Math Drudge",
day = "30",
month = jan,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/01/does-public-opinion-always-agree-with-scientific-fact/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:DSFa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Desperately seeking {ET}: {Fermi}'s paradox turns 65
({Part II})",
howpublished = "Math Drudge",
day = "16",
month = apr,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib",
URL = "https://experimentalmath.info/blog/2015/04/desperately-seeking-et-fermis-paradox-turns-65-part-ii/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:DSFb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Desperately Seeking {ET}: {Fermi's Paradox} Turns 65
({Part II})",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "17",
month = apr,
year = "2015",
bibdate = "Mon Aug 15 18:10:10 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib",
note = "See Part I \cite{Bailey:2015:WFP} and response
\cite{Solomon:2015:DS}.",
URL = "http://www.huffingtonpost.com/david-h-bailey/where-is-et-fermis-parado_b_7014044.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:DVTa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Data vs. theory: the mathematical battle for the soul
of physics",
howpublished = "Math Drudge",
day = "27",
month = dec,
year = "2015",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/12/data-vs-theory-the-mathematical-battle-for-the-soul-of-physics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:DVTb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Data vs Theory: The Mathematical Battle for the Soul
of Physics",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "30",
month = dec,
year = "2015",
bibdate = "Mon Aug 15 18:04:08 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/data-vs-theory-the-mathem_b_8886292.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:HCS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How certain are scientists that the earth is many
millions of years old",
howpublished = "Math Drudge",
day = "2",
month = jun,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/06/how-certain-are-scientists-that-the-earth-is-many-millions-of-years-old/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:HFL,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Are hedge funds losing their edge",
howpublished = "Mathematical Investor",
day = "16",
month = sep,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/09/are-hedge-funds-losing-their-edge/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:HMD,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "How much do investors lose from conflicted advice",
howpublished = "Mathematical Investor",
day = "28",
month = feb,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/02/how-much-do-investors-lose-from-conflicted-advice/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:HMP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How Have 2014 Market Prophets Fared?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "9",
month = dec,
year = "2015",
bibdate = "Mon Aug 15 18:14:03 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/how-have-2014-market-prophets-fared_b_6273434.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:HNM,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "High noon for 2015 market prophets",
howpublished = "Mathematical Investor",
day = "24",
month = dec,
year = "2015",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/12/high-noon-for-2015-market-prophets/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:HWD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How Well Do Individuals Understand Social Security
(And Its Overseas Counterparts)?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "25",
month = jun,
year = "2015",
bibdate = "Mon Aug 15 18:07:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/how-well-do-individuals-u_b_7664706.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:IAR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Interview with {Andrea Rossi}, {LENR} energy pioneer",
howpublished = "Math Drudge",
day = "5",
month = oct,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/10/interview-with-andrea-rossi-lenr-energy-pioneer/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:LFCa,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Lessons from the `{Flash Crash}' regulatory fiasco",
howpublished = "Mathematical Investor",
day = "26",
month = apr,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/04/lessons-from-the-flash-crash-regulatory-fiasco/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:LFCb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Lessons From the ``Flash Crash'' Regulatory Fiasco",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "27",
month = apr,
year = "2015",
bibdate = "Mon Aug 15 18:09:34 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/lessons-from-the-flash-cr_b_7148898.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:MLYa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Moore's Law} is 50 years old: Will it continue?",
howpublished = "Math Drudge",
day = "14",
month = jul,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/07/moores-law-is-50-years-old-will-it-continue/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:MLYb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Moore's Law} is 50 years old but will it continue?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "20",
month = jul,
year = "2015",
bibdate = "Mon Aug 15 18:07:08 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/moores-law-is-50-years-old-but-will-it-continue-44511",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:MMP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "More mathematics (and {Pi}) in the media",
howpublished = "Math Drudge",
day = "3",
month = dec,
year = "2015",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/12/more-mathematics-and-pi-in-the-media/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:NMP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is the nature of mathematical proof changing",
howpublished = "Math Drudge",
day = "6",
month = feb,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/02/is-the-nature-of-mathematical-proof-changing/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:PPB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{I} Prefer Pi: Background for {Big Pi Day} (3/14/15)",
howpublished = "Math Drudge",
day = "12",
month = mar,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/03/i-prefer-pi-background-for-big-pi-day-31415/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:PPD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Prepared for Pi Day? {This} year it's a once in a
century celebration",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "13",
month = mar,
year = "2015",
bibdate = "Mon Aug 15 18:13:33 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/prepared-for-pi-day-this-year-its-a-once-in-a-century-celebration-38576",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:RFE,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Is research in finance and economics reproducible",
howpublished = "Mathematical Investor",
day = "10",
month = oct,
year = "2015",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/10/is-research-in-finance-and-economics-reproducible/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:SFE,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "{Swiss} franc episode exposes risky investments",
howpublished = "Mathematical Investor",
day = "19",
month = jan,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2015/01/swiss-franc-episode-exposes-risky-investments/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:TML,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are there `missing links' in the human family tree",
howpublished = "Math Drudge",
day = "2",
month = jun,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/06/are-there-missing-links-in-the-human-family-tree/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:UCS,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Is {US} crime soaring? {Do} gun controls encourage
crime? {The} science of crime statistics",
howpublished = "Math Drudge",
day = "31",
month = jul,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/07/is-us-crime-soaring-do-gun-controls-encourage-crime-the-science-of-crime-statistics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2015:WFPa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Where is {ET}? {Fermi}'s paradox turns 65",
howpublished = "Math Drudge",
day = "6",
month = apr,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib",
URL = "https://experimentalmath.info/blog/2015/04/where-is-et-fermis-paradox-turns-2015/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2015:WFPb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Where is {ET}? {Fermi's Paradox} Turns 65",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "10",
month = apr,
year = "2015",
bibdate = "Mon Aug 15 18:11:19 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib",
note = "See also Part II \cite{Bailey:2015:DSF}.",
URL = "http://www.huffingtonpost.com/david-h-bailey/where-is-et-fermis-parado_b_7014044.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Borwein:2015:ANK,
author = "Naomi Borwein and Jonathan M. Borwein",
title = "Antisocial Networking Kills, Again",
howpublished = "Math Drudge",
day = "7",
month = oct,
year = "2015",
bibdate = "Tue May 15 15:05:09 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2015/10/antisocial-networking-kills-again/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:MWK,
author = "J. M. Borwein",
title = "The Man Who Knew Infinity: a mathematician's life
comes to the movies",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "17",
month = nov,
year = "2015",
bibdate = "Mon Aug 15 18:04:41 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/the-man-who-knew-infinity-a-mathematicians-life-comes-to-the-movies-50777",
acknowledgement = ack-nhfb,
keywords = "Robert Kanigel; Srinivasa Ramanujan",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:OPB,
author = "J. M. Borwein",
title = "It's often the puzzles that baffle that go viral",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "16",
month = apr,
year = "2015",
bibdate = "Mon Aug 15 18:10:44 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/its-often-the-puzzles-that-baffle-that-go-viral-40216",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2015:TWC,
author = "J. M. Borwein",
title = "The `train wreck' continues: another social science
retraction",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "29",
month = may,
year = "2015",
bibdate = "Mon Aug 15 18:09:11 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/the-train-wreck-continues-another-social-science-retraction-42404",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:GWD,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Gravitational waves detected, as predicted by
{Einstein}'s mathematics",
howpublished = "Math Drudge",
day = "11",
month = feb,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/02/gravitational-waves-detected-as-predicted-by-einsteins-mathematics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:HCB,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Are humans or computers better at mathematics?",
howpublished = "Blog posting",
day = "27",
month = nov,
year = "2016",
bibdate = "Mon Nov 28 07:36:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "This article was co-authored with Jonathan M. Borwein
before his death on 2 August 2016. A condensed version
of this article appeared in \cite{Bailey:2016:WCR}.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:HLIa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How likely is it that scientists are engaged in a
conspiracy",
howpublished = "Math Drudge",
day = "30",
month = jan,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/01/how-likely-is-it-that-scientists-are-engaged-in-a-conspiracy/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:HLIb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "How likely is it that scientists are engaged in a
conspiracy?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??--??",
day = "2",
month = feb,
year = "2016",
bibdate = "Wed Aug 17 07:31:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/how-likely-is-it-that-sci_b_9121342.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:HWDa,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "How well does the `{January} barometer' work",
howpublished = "Mathematical Investor",
day = "21",
month = jan,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2016/01/how-well-does-the-january-barometer-work/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:HWDb,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "How well does a `robot {AI}' predict the {Japanese}
stock market",
howpublished = "Mathematical Investor",
day = "19",
month = feb,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2016/02/how-well-does-a-robot-ai-predict-the-japanese-stock-market/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:IAR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Interview With {Andrea Rossi}, {LENR} Energy Pioneer",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "7",
month = oct,
year = "2016",
bibdate = "Mon Aug 15 18:05:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/interview-with-andrea-ros_b_8248624.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:PDa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Pi Day} 2016",
howpublished = "Math Drudge",
day = "10",
month = mar,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/03/pi-day-2016/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:PDb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Pi Day 2016",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "14",
month = mar,
year = "2016",
bibdate = "Mon Aug 15 18:01:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/pi-day-2016_b_9432600.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:SEFa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Space exploration: The future is now",
howpublished = "Math Drudge",
day = "14",
month = apr,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/04/space-exploration-the-future-is-now/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:SEFb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Space Exploration: The Future is Now",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??--??",
day = "15",
month = apr,
year = "2016",
bibdate = "Wed Aug 17 07:31:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/space-exploration-the-fut_b_9697226.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:SPP,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Sphere packing problem solved in $8$ and $ 24 $
dimensions",
howpublished = "Blog posting",
day = "1",
month = apr,
year = "2016",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
note = "See research papers
\cite{Viazovska:2016:SPP,Cohn:2016:SPP}.",
URL = "https://experimentalmath.info/blog/2016/04/sphere-packing-problem-solved-in-8-and-24-dimensions/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:TTH,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Tough times for hedge funds",
howpublished = "Mathematical Investor",
day = "22",
month = apr,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2016/04/tough-times-for-hedge-funds/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:UPF,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Unexpected pattern found in prime number digits",
howpublished = "Math Drudge",
day = "15",
month = mar,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/03/unexpected-pattern-found-in-prime-numbers-digits/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:WBF,
author = "David H. Bailey and Jonathan M. Borwein and Marcos
{L{\'o}pez de Prado} and Jim Zhu",
title = "Where are the billionaire financial academics",
howpublished = "Mathematical Investor",
day = "18",
month = jul,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.financial-math.org/blog/2016/07/where-are-the-billionaire-financial-academics/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:WCR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Will computers replace humans in mathematics?",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "2",
month = jun,
year = "2016",
bibdate = "Mon Aug 15 18:03:31 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.edu.au/profiles/jon-borwein-101",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Misc{Bailey:2016:WMMa,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why are so many mathematicians also musicians?",
howpublished = "Math Drudge",
day = "30",
month = apr,
year = "2016",
bibdate = "Tue May 15 15:05:10 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/04/why-are-so-many-mathematicians-also-musicians/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Bailey:2016:WMMb,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Why Are So Many Mathematicians Also Musicians?",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "3",
month = may,
year = "2016",
bibdate = "Mon Aug 15 18:00:00 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.huffingtonpost.com/david-h-bailey/why-are-so-many-mathemati_b_9814796.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:PD,
author = "J. M. Borwein",
title = "Pi Day 2016",
journal = "Rhodes Scholar Blog",
volume = "??",
number = "??",
pages = "??",
day = "8",
month = apr,
year = "2016",
bibdate = "Mon Aug 15 18:01:00 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.rhodeshouse.ox.ac.uk/blog/pi-day-2016",
acknowledgement = ack-nhfb,
journal-URL = "http://www.rhodeshouse.ox.ac.uk/blog",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Borwein:2016:PPM,
author = "J. M. Borwein",
title = "Pi and its part in the most beautiful formula in
mathematics",
journal = "The Conversation",
volume = "??",
number = "??",
pages = "??",
day = "13",
month = mar,
year = "2016",
bibdate = "Mon Aug 15 18:02:12 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://theconversation.com/pi-and-its-part-in-the-most-beautiful-formula-in-mathematics-56067",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "How pi became part of the most beautiful formula in
mathematics",
}
@Article{Borwein:2016:RMW,
author = "J. M. Borwein",
title = "{Ramanujan} -- The man who knew infinity",
journal = "Rhodes Scholar Blog",
volume = "??",
number = "??",
pages = "??",
day = "23",
month = feb,
year = "2016",
bibdate = "Mon Aug 15 18:02:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.rhodeshouse.ox.ac.uk/blog/ramanujan-the-man-who-knew-infinity",
acknowledgement = ack-nhfb,
journal-URL = "http://www.rhodeshouse.ox.ac.uk/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1986:CMN,
author = "Jonathan M. Borwein",
title = "Cones, minimality notions and consequences",
publisher = "????",
address = "????",
pages = "??--??",
day = "5",
month = aug,
year = "1986",
bibdate = "Tue Aug 16 10:19:16 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "International conference on Vector Optimization,
Darmstadt, West Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1986:RME,
author = "Jonathan M. Borwein",
title = "{Ramanujan}, modular equations and pi",
day = "24",
month = nov,
year = "1986",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, St. Francis Xavier University, Antigonish,
NS, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/1587/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1986:SVP,
author = "Jonathan M. Borwein",
title = "A smooth variational principle",
year = "1986",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Computer Science\slash Optimization Seminar,
University of Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:AGM,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "15",
month = dec,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Canadian Mathematical Society, Coxeter--James Lecture,
Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:OC,
author = "Jonathan M. Borwein",
title = "Order complementarity",
day = "24",
month = mar,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Western Ontario, London, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:RMEa,
author = "Jonathan M. Borwein",
title = "{Ramanujan}, modular equations and pi",
day = "19",
month = mar,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Concordia.",
URL = "http://docserver.carma.newcastle.edu.au/1587/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:RMEb,
author = "Jonathan M. Borwein",
title = "{Ramanujan}, modular equations and approximations to
pi",
day = "1",
month = jun,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Ramanujan Centenary Meeting, University of Illinois,
Champaign-Urbana, IL, USA.",
URL = "http://docserver.carma.newcastle.edu.au/1587/;
https://web.archive.org/web/20170328083101/h",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:SAC,
author = "Jonathan M. Borwein",
title = "Spectral analysis via convex programming",
day = "15",
month = oct,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "{Charnes}' 70th birthday conference, IC2, University
of Texas at Austin, Austin, TX, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:SVPb,
author = "Jonathan M. Borwein",
title = "A smooth variational principle",
publisher = "????",
address = "????",
pages = "??--??",
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Winter meetings, San Antonio, TX, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:SVPc,
author = "Jonathan M. Borwein",
title = "A smooth variational principle",
day = "26",
month = mar,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis\slash Applied Math seminar, University of
Toronto, Toronto, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:SVPd,
author = "Jonathan M. Borwein",
title = "A smooth variational principle",
day = "25",
month = jun,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "{Franco--Quebec} Conference on Non-linear Analysis,
{Perpignan, France}.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1987:TIR,
author = "Jonathan M. Borwein",
title = "A theta identity of {Ramanujan}'s and applications",
publisher = "????",
address = "????",
pages = "??--??",
day = "21",
month = jul,
year = "1987",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Summer Research Institute, Bowdoin College,
Brunswick, ME, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:AGMa,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "13",
month = may,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Distinguished Lecturer Series, University of Delaware,
Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:AGMb,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "14",
month = jun,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:AGMc,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "27",
month = jun,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of New England, Armidale, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:AGMd,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "27",
month = jul,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Auckland University, Auckland, New
Zealand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:AGMe,
author = "Jonathan M. Borwein",
title = "The arithmetic--geometric mean of {Gauss} and
{Legendre}: An Excursion",
day = "12",
month = sep,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Macquarie University, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:BFD,
author = "Jonathan M. Borwein",
title = "{Borchardt}'s four-dimensional arithmetic--geometric
mean",
day = "14",
month = sep,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Macquarie University, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:ETEa,
author = "Jonathan M. Borwein",
title = "{Ekeland}'s theorem and its extensions",
day = "12",
month = may,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Distinguished Lecturer Series, University of Delaware,
Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:ETEb,
author = "Jonathan M. Borwein",
title = "{Ekeland}'s theorem and its extensions",
day = "29",
month = jun,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of New England, Armidale, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:ETEc,
author = "Jonathan M. Borwein",
title = "{Ekeland}'s theorem and its extensions",
day = "1",
month = aug,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Melbourne University, Melbourne, VIC,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:MCK,
author = "Jonathan M. Borwein",
title = "{Mosco} convergence and the {Kadec} property",
day = "24",
month = aug,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Functional Analysis and Optimization,
Australian National University, Canberra, ACT,
Australia.",
URL = "http://docserver.carma.newcastle.edu.au/1584/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:OPE,
author = "Jonathan M. Borwein",
title = "Open problems on the existence of nearest points",
day = "9",
month = aug,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Functional Analysis and Optimization,
Australian National University, Canberra, ACT,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:PFC,
author = "Jonathan M. Borwein",
title = "Partially-finite convex programming",
day = "6",
month = jan,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Winter Meetings, Atlanta, GA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:STAa,
author = "Jonathan M. Borwein",
title = "Subderivatives and their applications",
day = "17",
month = aug,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference on Functional Analysis and Optimization,
Australian National University, Canberra, ACT,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1988:STAb,
author = "Jonathan M. Borwein",
title = "Subderivatives and their applications",
day = "9",
month = sep,
year = "1988",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Joint Colloquium, University of New South Wales and
Sydney University, Sydney, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:AFM,
author = "Jonathan M. Borwein",
title = "{APICS\slash FRASER} medal presentation talk",
day = "12",
month = may,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:CPH,
author = "Jonathan M. Borwein",
title = "The calculation of pi. {How}, why, what?",
day = "8",
month = feb,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nova Scotia Institute of Science, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:MCP,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and {Preisses'} theorem",
day = "12",
month = jun,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Miniconference on Optimization Theory, University of
Pau, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:MCT,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and their applications",
day = "9",
month = jun,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary talk, Conference on Fixed Point Theory, CIRM,
Marseille, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:PAG,
author = "Jonathan M. Borwein",
title = "Pi and the arithmetic--geometric mean",
day = "14",
month = apr,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Rutger's University, New Brunswick, NJ,
USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:PER,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "9",
month = nov,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
note = "Colloquium, Department of Computer Science, University
of Manitoba, Winnipeg, MB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:QMIa,
author = "Jonathan M. Borwein",
title = "Quadratic Mean Iterations",
day = "4",
month = mar,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Carleton University\slash Universit{\'e} d'Ottawa
joint Colloquium, Carleton University, Ottawa, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:QMIb,
author = "Jonathan M. Borwein",
title = "Quadratic Mean Iterations",
day = "12",
month = apr,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Rutger's University, New Brunswick, NJ,
USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1989:SFC,
author = "Jonathan M. Borwein",
title = "Semi-finite convex programming",
day = "17",
month = oct,
year = "1989",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ORSA\slash TIMS National Meeting, New York (presented
by A. Lewis).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:CPAa,
author = "Jonathan M. Borwein",
title = "Convex programming approaches to moment, curve, and
signal estimation",
day = "22",
month = aug,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Miniconference on Optimization Theory, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:CPAb,
author = "Jonathan M. Borwein",
title = "Convex programming approaches to moment, curve, and
signal estimation",
day = "22",
month = aug,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Miniconference on Optimization Theory, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:CPCa,
author = "Jonathan M. Borwein",
title = "Convex programming and the choice of entropy in
spectral estimation",
day = "21",
month = nov,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Department of Combinatorics and Optimization,
University of Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:CPCb,
author = "Jonathan M. Borwein",
title = "Convex programming and the choice of entropy in
spectral estimation",
day = "21",
month = nov,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Department of Combinatorics and Optimization,
Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPCa,
author = "Jonathan M. Borwein",
title = "Differentiability properties of convex, {Lipschitz}
and semicontinuous functions",
day = "21",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Ontario Math Meetings \#88, Brock University, St.
Catharines, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPCb,
author = "Jonathan M. Borwein",
title = "Differentiability properties of convex, {Lipschitz}
and semicontinuous functions",
day = "21",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Ontario Math Meetings \#88, Brock University, St.
Catharines, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPLa,
author = "Jonathan M. Borwein",
title = "Differentiability properties of {Lipschitz}
functions",
day = "15",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#1, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPLb,
author = "Jonathan M. Borwein",
title = "Differentiability properties of lower semicontinuous
functions",
day = "21",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#2, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPLc,
author = "Jonathan M. Borwein",
title = "Differentiability properties of {Lipschitz}
functions",
day = "15",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#1, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:DPLd,
author = "Jonathan M. Borwein",
title = "Differentiability properties of lower semicontinuous
functions",
day = "21",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#2, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:ETSa,
author = "Jonathan M. Borwein",
title = "{Ekeland}'s theorem and the smooth variational
principle",
day = "20",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference on Topological Methods, Brock University,
St. Catharines, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:ETSb,
author = "Jonathan M. Borwein",
title = "{Ekeland}'s theorem and the smooth variational
principle",
day = "20",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference on Topological Methods, Brock University,
St. Catharines, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:GMSa,
author = "Jonathan M. Borwein",
title = "{Greek} mathematics and the story of the circle",
day = "6",
month = dec,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Junior High presentation, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:GMSb,
author = "Jonathan M. Borwein",
title = "{Greek} mathematics and the story of the circle",
day = "6",
month = dec,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Junior High presentation, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPa,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "16",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University of Prince Edward Island,
Charlottetown, PE C1A 4P3, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPb,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "24",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, St. Francis Xavier University,
Antigonish, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPc,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "31",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Memorial University, St John's, NL,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPd,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "5",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Universit{\'e} de Moncton, Moncton, NB,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPe,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "16",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University of Prince Edward Island,
Charlottetown, PE C1A 4P3, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPf,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "24",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, St. Francis Xavier University,
Antigonish, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPg,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "31",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Memorial University, St John's, NL,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:HCPh,
author = "Jonathan M. Borwein",
title = "The history of the computation of PI",
day = "5",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Universit{\'e} de Moncton, Moncton, NB,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:MCAa,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and applications to {Lipschitz}
functions",
day = "19",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Winter Meetings, Louisville, KY, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:MCAb,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and applications to {Lipschitz}
functions",
day = "25",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#3, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:MCAc,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and applications to {Lipschitz}
functions",
day = "19",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Winter Meetings, Louisville, KY, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:MCAd,
author = "Jonathan M. Borwein",
title = "Minimal {CUSCOS} and applications to {Lipschitz}
functions",
day = "25",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar \#3, Technion, Haifa,
Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERa,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "22",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Mount St Vincent University, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERb,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "26",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Mount Allison University, Sackville,
NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERc,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "15",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University College of Cape Breton,
Sydney, NS B1P 6L2, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERe,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "6",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University of New Brunswick, Moncton,
NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERf,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "15",
month = jun,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERg,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "22",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Mount St Vincent University, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERh,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "26",
month = jan,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Mount Allison University, Sackville,
NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERi,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "15",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University College of Cape Breton,
Sydney, NS B1P 6L2, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERj,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "23",
month = mar,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, Acadia University, Wolfville, NS B4P
2R6, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERk,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "6",
month = apr,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APICS Lecture, University of New Brunswick, Moncton,
NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:PERl,
author = "Jonathan M. Borwein",
title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}",
day = "15",
month = jun,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:SDPb,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "24",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Technion Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:SDPc,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "28",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Ben Gurion University, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:SDPd,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "24",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1990:SDPe,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "28",
month = may,
year = "1990",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Ben Gurion University, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:CPCa,
author = "Jonathan M. Borwein",
title = "Convex programming and the choice of entropy in
spectral estimation",
day = "15",
month = may,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary talk, Journees d'Optimization,
Universit{\'e} de Limoges, Limoges, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:CPCb,
author = "Jonathan M. Borwein",
title = "Convex programming and the choice of entropy in
spectral estimation",
day = "29",
month = may,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Dynamic Optimization, CMS Summer
Meeting, Universit{\'e} de Sherbrooke, Sherbrooke, QC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:DAOa,
author = "Jonathan M. Borwein",
title = "Discovering analytic objects by computer",
day = "25",
month = jan,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Miniconference on Symbolic computation, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:DAOb,
author = "Jonathan M. Borwein",
title = "Discovering analytic objects by computer",
day = "25",
month = jan,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Miniconference on Symbolic computation, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:DAOc,
author = "Jonathan M. Borwein",
title = "Discovering analytic objects by computer",
day = "12",
month = nov,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Guelph
University, Guelph, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EAU,
author = "Jonathan M. Borwein",
title = "Estimation and approximation using infinite
dimensional convex programs with entropy type
objectives",
day = "26",
month = oct,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Constrained Approximation, AMS
Regional Meeting, University of North Dakota, Fargo,
ND, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EMRa,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "13",
month = mar,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium Pure Mathematics Department, Waterloo,
Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EMRb,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "23",
month = apr,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Seminar, Universit{\'e} de Limoges,
Limoges, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EMRc,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan} and a little Pi:
Discovering analytic objects by computer",
day = "25",
month = apr,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "One of two invited talks at the Festkolloquium for Dr.
A. Peyerimhoff 's 65th birthday, Ulm, Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EMRd,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "21",
month = may,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar Project Algorithms Group, INRIA, Paris.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:EMRe,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "28",
month = jun,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Simon Fraser
University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:GFB,
author = "Jonathan M. Borwein",
title = "On the generating function of $ [n a + b] $",
day = "5",
month = jun,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "International Conference on Functional Equations,
Acadia University, Wolfville, NS B4P 2R6, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/1564/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:RWLa,
author = "Jonathan M. Borwein",
title = "{Ramanujan}: the wonderful life of the {Indian}
mathematical genius {S. Ramanujan} (1887--1920)",
day = "27",
month = jun,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Faculty of Science, Simon Fraser University,
Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:RWLb,
author = "Jonathan M. Borwein",
title = "{Ramanujan}: the wonderful life of the {Indian}
mathematical genius {S. Ramanujan} (1887--1920)",
day = "26",
month = jul,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Combinatorics and Optimization, University
of Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:SDPa,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "29",
month = apr,
year = "1991",
bibdate = "Tue Aug 16 14:05:33 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Universit{\"a}t Stuttgart, Stuttgart,
Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:SDPb,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "17",
month = may,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Optimization Seminar, Universit{\'e} de Limoges,
Limoges, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:SDPc,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "23",
month = may,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, Universit{\'e} de Paris VI, Paris,
France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1991:SDPd,
author = "Jonathan M. Borwein",
title = "A survey of differentiability properties of convex,
{Lipschitz} and semicontinuous functions",
day = "9",
month = oct,
year = "1991",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, York University, Toronto, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:CEM,
author = "Jonathan M. Borwein",
title = "A communications example: {Maple} and {Pari}",
day = "15",
month = jun,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Annual Maple Retreat, Sparrow Lake, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:EAU,
author = "Jonathan M. Borwein",
title = "Estimation and approximation using infinite
dimensional convex programs with entropy type
objectives",
day = "19",
month = feb,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Industrial and Organizational Engineering,
University of Michigan, Ann Arbor, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:EMRa,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "6",
month = feb,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, York
University, Toronto, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:EMRb,
author = "Jonathan M. Borwein",
title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic
objects by computer",
day = "20",
month = feb,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Department of Mathematics, University of
Michigan, Ann Arbor, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:FME,
author = "Jonathan M. Borwein",
title = "On the failure of `maximum entropy' reconstruction for
{Fredholm} operators and other infinite dimensional
systems",
day = "22",
month = may,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "14th Symposium on Mathematical Programming with Data
Perturbations, George Washington University,
Washington, DC, USA, 10. June 15th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:FSOa,
author = "Jonathan M. Borwein",
title = "First and second order differentiability of convex
functions on various {Banach} spaces",
day = "16",
month = may,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Variational Analysis and Related Topics, University of
California at Davis, Davis, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:FSOb,
author = "Jonathan M. Borwein",
title = "First and second order differentiability of convex
functions on various {Banach} spaces",
day = "20",
month = aug,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Variational Analysis and Related Topics, First World
Congress of Nonlinear Analysts, Tampa, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:GCE,
author = "Jonathan M. Borwein",
title = "Guided Computer Experimentation in Mathematics:
{Euler}, {Mahler}, {Ramanujan} and {Maple}",
day = "2",
month = may,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Harry H. Gehman Lecture, MAA\slash OMM Meeting,
Queen's University, Kingston, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:IDE,
author = "Jonathan M. Borwein",
title = "Infinite dimensional entropy minimization: a
tutorial",
day = "21",
month = may,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "14th Symposium on Mathematical Programming with Data
Perturbations, George Washington University,
Washington, DC, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:IMSa,
author = "Jonathan M. Borwein",
title = "Iterative methods for solving inverse problems and
computing fixed points",
day = "9",
month = apr,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Statistics and
Computing Science, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:IMSb,
author = "Jonathan M. Borwein",
title = "Iterative methods for solving inverse problems and
computing fixed points",
day = "23",
month = apr,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Pure Mathematics, University
of Western Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1992:IMSc,
author = "Jonathan M. Borwein",
title = "Iterative methods for solving inverse problems and
computing fixed points",
day = "4",
month = sep,
year = "1992",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third FrancoLatin American Conference on Applied
Mathematics, Santiago, Chile.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:AAL,
author = "Jonathan M. Borwein",
title = "An analyst's approach to linear inequality systems",
day = "12",
month = feb,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Department of Mathematics, University of
Colorado, Boulder, CO, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:CAMa,
author = "Jonathan M. Borwein",
title = "Computer assisted `Mathematics and Plausible
Reasoning'",
day = "15",
month = feb,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Kempner Colloquium, Department of Mathematics,
University of Colorado, Boulder, CO, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:CAMb,
author = "Jonathan M. Borwein",
title = "Computer assisted `Mathematics and Plausible
Reasoning'",
day = "8",
month = apr,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Pennsylvania
State University, State College, PA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:CPE,
author = "Jonathan M. Borwein",
title = "Convex programming and entropy type functions",
day = "2",
month = sep,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, XVIII Symposium on Operations
Research, University of Cologne.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:FSOa,
author = "Jonathan M. Borwein",
title = "First and second order differentiability of convex
functions on various {Banach} spaces",
day = "2",
month = feb,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Western Ontario, London, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:FSOb,
author = "Jonathan M. Borwein",
title = "First and second order differentiability of convex
functions on various {Banach} spaces",
day = "1",
month = may,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Regional Functional Analysis Conference, Miami
University, Oxford, OH, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:HCPa,
author = "Jonathan M. Borwein",
title = "A history of the computation of Pi",
day = "3",
month = feb,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Undergraduate Colloquium, University of Western
Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:HCPb,
author = "Jonathan M. Borwein",
title = "A history of the computation of Pi",
day = "25",
month = mar,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Vermont, Burlington, VT,
USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:MIE,
author = "Jonathan M. Borwein",
title = "Means, iterations and experimentally induced
identities",
day = "15",
month = aug,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MAA-CMS Invited Lecture, Joint AMS\slash MAA\slash CMS
Summer Meetings, University of British Columbia,
Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:RWL,
author = "Jonathan M. Borwein",
title = "{S. Ramanujan}: a Wonderful Life?",
day = "16",
month = oct,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "South Asian Colloquium of the Pacific Northwest,
Harbour Centre, Simon Fraser University, Burnaby, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:SIS,
author = "Jonathan M. Borwein",
title = "Some intriguing series involving (4)",
day = "7",
month = may,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Tutte Seminar, Department of Combinatorics and
Optimization, University of Waterloo, Waterloo, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:SIT,
author = "Jonathan M. Borwein",
title = "Shrum Inaugural Talk",
day = "19",
month = oct,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Harbour Centre, Simon Fraser University, Burnaby, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:TEE,
author = "Jonathan M. Borwein",
title = "Three examples of experimental computational
analysis?",
day = "9",
month = oct,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Pacific Northwest Numerical Analysis Seminar,
University of Washington, Seattle, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1993:WEM,
author = "Jonathan M. Borwein",
title = "What is experimental Mathematics?",
day = "27",
month = sep,
year = "1993",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Colloquium, University of British
Columbia, Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:CGS,
author = "Jonathan M. Borwein",
title = "Characterizations of generalized subgradients amongst
one-dimensional multifunctions: and extensions",
day = "11",
month = dec,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CMS Winter Meeting, Special Session on Nonsmooth
Analysis Meridien Hotel, McGill University, Montreal,
QC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:CPP,
author = "Jonathan M. Borwein and J. Zhu",
title = "Control problems with perturbations in non-reflexive
space",
day = "16",
month = dec,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "33rd CDCIEEE Meetings Orlando, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1994:ECFa,
author = "Jon Borwein and Simon Fitzpatrick and Jon
Vanderwerff",
title = "Examples of Convex Functions and Classifications of
Normed Spaces",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "16",
day = "1",
month = mar,
year = "1994",
MRclass = "46B20, 52A41.",
bibdate = "Thu Sep 01 14:16:36 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1994:ECFc}.",
URL = "http://docserver.carma.newcastle.edu.au/64",
abstract = "We study various properties of convex functions and
their connections to the structure of the spaces on
which they are defined. In particular, it is shown
boundedness properties of convex functions on various
bornologies are related to sequential convergence in
dual topologies. Convex functions whose
subdifferentials have range with nonconvex interior are
constructed on nonreflexive spaces, and we exhibit
examples of convex functions on infinite dimensional
spaces whose subdifferentials have sparse domains.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "bounded subdifferential; Convex function; domain;
Mackey convergence; range; support points",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:ECFb,
author = "Jonathan M. Borwein. and Simon Fitzpatrick and Jon
Vanderwerff",
title = "Examples of convex functions and classification of
normed spaces",
pages = "16",
day = "27",
month = jun,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1994:ECFc}. Plenary talk,
VII Colloque Franco--Allemand d'Optimisation, Dijon,
France.",
URL = "http://docserver.carma.newcastle.edu.au/64/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:EMPb,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "11",
month = aug,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maple Summer Workshop and Symposium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:EMPc,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "18",
month = nov,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Indiana
University, Bloomington, IN, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:EMPd,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "24",
month = nov,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Calgary, Calgary, AB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:GCP,
author = "David Borwein and Jonathan M. Borwein and Peter B.
Borwein and Roland Girgensohn",
title = "{Giuga}'s conjecture on primality",
pages = "16",
day = "7",
month = oct,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Centre de R{\'e}cherche Math{\'e}matiques XXV
Anniversary Conference, Montreal, Quebec.",
URL = "http://docserver.carma.newcastle.edu.au/88/",
abstract = "G. Giuga conjectured that if an integer $n$ satisfies
$ \sum_{k = 1}^{n - 1} \equiv - 1 \bmod n$, then $n$
must be a prime. We survey what is known about this
interesting and now fairly old conjecture.\par
Giuga proved that $n$ is a counterexample to his
conjecture if and only if each prime divisor $p$ of $n$
satisfies $ (p - 1) | (n / p - 1)$ and $ p | (n / p -
1)$. Using this characterization, he proved
computationally that any counterexample has at least
1,000 digits; equipped with more computing power, E.
Bedocchi later raised this bound to 1,700 digits. By
improving on their method, we determine that any
counterexample has at least 13,800 digits.\par
We also give some new results on the second of the
above conditions. This leads, in our opinion, to some
interesting questions about what we call Giuga, numbers
and Giuga sequences.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:GME,
author = "Jonathan M. Borwein",
title = "{Greek} Mathematics and Especially the Story of the
Circle",
day = "14",
month = apr,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "High School Science Evening, Simon Fraser University,
Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:MEM,
author = "Jonathan M. Borwein",
title = "Maximization entropy methods (using derivative
information) and infinite dimensional convex
programming",
day = "18",
month = aug,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "XV International Mathematical Programming Symposium,
Ann Arbor, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:NASa,
author = "Jonathan M. Borwein",
title = "Nonsmooth analysis in smooth {Banach} spaces",
day = "18",
month = jan,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, University of
Washington, Seattle, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:NASb,
author = "Jonathan M. Borwein",
title = "Nonsmooth analysis in smooth {Banach} spaces",
day = "4",
month = mar,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, University of California, Santa
Barbara, Santa Barbara, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:NASc,
author = "Jonathan M. Borwein",
title = "Nonsmooth analysis in smooth {Banach} spaces",
day = "11",
month = apr,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Victoria, Victoria, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:NASd,
author = "Jonathan M. Borwein",
title = "Nonsmooth analysis in smooth {Banach} spaces",
day = "5",
month = jul,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Limoges, Limoges, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:VDT,
author = "Jonathan M. Borwein",
title = "Viscosity derivatives: theory and applications",
day = "18",
month = aug,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "XV International Mathematical Programming Symposium,
Ann Arbor, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:VHD,
author = "Jonathan M. Borwein",
title = "The vision: how do we integrate \ldots{} mature
computation techniques",
day = "11",
month = aug,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maple Summer Workshop and Symposium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:WEMa,
author = "Jonathan M. Borwein",
title = "What is Experimental Mathematics?",
day = "3",
month = mar,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of California, Santa Barbara,
Santa Barbara, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:WEMb,
author = "Jonathan M. Borwein",
title = "What's Experimental Mathematics?",
day = "22",
month = mar,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Talk to Grade 12 Students Spring Break, Simon Fraser
University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:WEMc,
author = "Jonathan M. Borwein",
title = "What is Experimental Mathematics?",
day = "23",
month = apr,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Algorithms Seminar, Samedi de Recherche, University of
Ottawa, Ottawa, ON, Canada. 8. June 27th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1994:WTA,
author = "Jonathan M. Borwein",
title = "Ways of thinking about duality",
day = "16",
month = aug,
year = "1994",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Student Session, XV International Mathematical
Programming Symposium, Ann Arbor, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:CAD,
author = "Jonathan M. Borwein",
title = "The cubic {AGM} discovered",
day = "26",
month = oct,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Specialist Colloquium Lecture, University of Utrecht,
Utrecht, The Netherlands.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:CHNa,
author = "Jonathan M. Borwein",
title = "Convex {Haar} null sets in separable {Banach} spaces",
day = "24",
month = oct,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Lecture at Honoris Causa ceremony for R. T.
Rockafellar, Universit{\'e} de Montpelier II,
Montpelier, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:CHNb,
author = "Jonathan M. Borwein",
title = "Convex {Haar} null sets in separable {Banach} spaces",
day = "8",
month = nov,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Functional Analysis Seminar, Department of Mathematics
and Statistics, University of Saskatchewan, Saskatoon,
SK, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EEEb,
author = "Jonathan M. Borwein",
title = "Experimental evaluation of {Euler} sums",
day = "17",
month = may,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Halberstam retirement conference, Urbana, IL, USA, May
16--21, 1995.",
URL = "http://docserver.carma.newcastle.edu.au/60/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:EMD,
author = "J. Borwein and P. Borwein and R. Girgensohn and S.
Parnes",
title = "Experimental Mathematics: a Discussion",
type = "Report",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
day = "14",
month = jun,
year = "1995",
bibdate = "Thu Sep 01 16:56:37 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/98",
abstract = "Philosophers have frequently distinguished mathematics
from the physical sciences. While the sciences were
constrained to fit themselves via experimentation to
the `real' world, mathematicians were allowed more or
less free reign within the abstract world of the mind.
This picture has served mathematicians well for the
past few millennia but the computer has begun to change
this. The computer has given us the ability to look at
new and unimaginably vast worlds. It has created
mathematical worlds that would have remained
inaccessible to the unaided human mind, but this access
has come at a price. Many of these worlds, at present,
can only be known experimentally. The computer has
allowed us to fly through the rarefied domains of
hyperbolic spaces and examine more than a billion
digits of $ \pi $ but experiencing a world and
understanding it are two very different phenomena. Like
it or not, the world of the mathematician 1s becoming
experimentalized.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "TO DO: Check author addresses: absent from PDF file.",
}
@Unpublished{Borwein:1995:EMPa,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "7",
month = apr,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Computing
Science, University of Northern British Columbia,
Prince George, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPb,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "5",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Principal Lecture, Australian Mathematical Society
Meeting, University of Tasmania, Hobart, TAS,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPc,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "19",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "University Public Lecture, University of Newcastle,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPd,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "27",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Western Australia, Crawley, WA 6009,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPe,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "7",
month = aug,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
Murdoch University. Perth, WA, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPf,
author = "Jonathan M. Borwein",
title = "Experimental mathematics: promises and pitfalls",
day = "26",
month = oct,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "General Colloquium Lecture, University of Utrecht,
Utrecht, The Netherlands.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:EMPg,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "9",
month = nov,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Saskatchewan, Saskatoon, SK, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:ESD,
author = "Jonathan M. Borwein and Warren B. Moors",
title = "Essentially strictly differentiable {Lipschitz}
functions",
institution = "Department of Mathematics \& Statistics, Simon Fraser
University",
address = "Burnaby, BC V5A 156, Canada",
pages = "50",
day = "5",
month = mar,
year = "1995",
MRclass = "49J52 (46N10; 58C20; 58C07)",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "West Coast Optimization Meeting, University of
Washington, Seattle, WA, USA.",
URL = "http://docserver.carma.newcastle.edu.au/95",
abstract = "In this paper we address some of the most fundamental
questions regarding the differentiability structure of
locally Lipschitz functions defined on Banach spaces.
For example, we examine the relationship between
integrability, $D$-representability and strict
differentiability. In addition to this, we show that on
a large class of Banach spaces there is a significant
family of locally Lipschitz functions which are
integrable, $D$-representable and possess desirable
differentiability properties. We also present some
striking applications of our results to distance
functions.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
keywords = "$D$-representable; Distance function; Haar-null set;
Integrable; Lipschitz function; Minimal cusco; Proximal
Normal Formula",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1995:ETE,
author = "Jonathan M. Borwein and Roland Girgensohn",
title = "Evaluation of Triple {Euler} Sums",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "27",
year = "1995",
bibdate = "Wed Aug 31 10:02:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/118/2/95_053-Borwein-Girgensohn.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Undated and without abstract: PDF file metadata are
also undated.",
}
@Unpublished{Borwein:1995:KCa,
author = "Jonathan M. Borwein",
title = "On {Khinchine}'s Constant",
day = "18",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:KCb,
author = "Jonathan M. Borwein",
title = "On {Khinchine}'s Constant",
day = "7",
month = dec,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Calgary, Calgary, AB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MEMb,
author = "Jonathan M. Borwein",
title = "Maximum entropy methods (using derivative information)
and infinite dimensional convex programming",
day = "11",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Principal Lecture, Optimization Miniconference,
University of NSW, Sydney, NSW, Australia. 11. July
17th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MEMc,
author = "Jonathan M. Borwein",
title = "Essentially strictly differentiable {Lipschitz}
functions",
day = "17",
month = jul,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MEMd,
author = "Jonathan M. Borwein",
title = "Maximum entropy methods (using derivative information)
and infinite dimensional convex programming",
day = "1",
month = aug,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Pure Mathematics Seminar, University of Western
Australia, Crawley, WA 6009, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MMTa,
author = "Jonathan M. Borwein",
title = "Minimal multifunctions and their applications",
day = "7",
month = jan,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on multivalued nonlinear dynamics, AMS
Winter Meeting, Hilton Hotel, San Francisco, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:MMTb,
author = "Jonathan M. Borwein",
title = "Minimal multifunctions and their applications",
day = "1",
month = apr,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Nonsmooth Analysis and Applications,
University of California at Santa Barbara, Santa
Barbara, CA, USA, April 1--2.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:VDT,
author = "Jonathan M. Borwein",
title = "Viscosity derivatives: theory and applications",
day = "28",
month = jun,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, University of Auckland, New
Zealand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:VSFa,
author = "Jonathan M. Borwein",
title = "Virtual Science: the future of mathematical research",
day = "22",
month = feb,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "President's Lecture Series, Simon Fraser University,
Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:VSFb,
author = "Jonathan M. Borwein",
title = "Virtual Science: the future of mathematical research",
day = "2",
month = mar,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Science I, University of British Columbia, Vancouver,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1995:WEM,
author = "Jonathan M. Borwein",
title = "What is Experimental mathematics?",
day = "5",
month = oct,
year = "1995",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Principal Lecture, Workshop on Experimental
Mathematics, CARMA, Technical University of Denmark,
Lyngby, Denmark.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:CAA,
author = "Jonathan M. Borwein",
title = "Convex Analysis and Applications",
day = "10",
month = aug,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Mathfest, University of Washington, Seattle, WA,
USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:DMW,
author = "Jonathan M. Borwein",
title = "Doing Mathematics on the {Web}",
day = "15",
month = nov,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, University of
British Columbia, Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:EMP,
author = "Jonathan M. Borwein",
title = "Experimental mathematics, promises and pitfalls",
day = "6",
month = feb,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium \& MAA Visiting Lecture, Department of
Mathematics, Western Washington University, Bellingham,
WA 98225, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:MESa,
author = "Jonathan M. Borwein",
title = "Multidimensional {Euler} Sums: some Recent Results",
day = "13",
month = jun,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Combinatorics and Graph Theory Conference (in honour
of Herbert Wilf's 65th birthday), June 13--15,
University of Pennsylvania, Philadelphia, PA 19104,
USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:MESb,
author = "Jonathan M. Borwein",
title = "Multidimensional {Euler} Sums: some Recent Results",
day = "14",
month = aug,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CECM Conference on Analysis and its Computational
Applications, Simon Fraser University, Burnaby, BC,
Canada, August 14--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:MESc,
author = "Jonathan M. Borwein",
title = "Multidimensional {Euler} Sums: some Recent Results",
day = "21",
month = aug,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fifth Canadian Number Theory Association Meeting,
Carleton University, Ottawa, ON, Canada, August
17--22.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:MMM,
author = "Jonathan M. Borwein",
title = "Multi-modal Mathematics",
day = "5",
month = nov,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Annual TeleLearning Meeting and Conference (as
part of Plenary --- Theme 5: Post Secondary Education),
Montreal, QC, Canada, November 5--7.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:MPW,
author = "Jonathan M. Borwein",
title = "Mathematical publishing on the {Web}",
pages = "5",
day = "21",
month = sep,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "10th Pacific North West Numerical Analysis Seminar,
Vancouver, BC, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/190/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Twenty lecture slides, printed four-up.",
}
@Unpublished{Borwein:1996:OMP,
author = "Jonathan M. Borwein",
title = "The Organic Mathematics Proceedings",
day = "29",
month = mar,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Manitoba, Winnipeg, MB,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1996:VSC,
author = "Jonathan M. Borwein",
title = "Virtual science: the changing face of Mathematics",
day = "23",
month = aug,
year = "1996",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "National Council of Teachers of Mathematics, Canadian
Regional Meeting, Vancouver, BC, Canada, August
22--23.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:DMWa,
author = "Jonathan M. Borwein",
title = "Doing Mathematics on the Web",
day = "15",
month = jan,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
Simon Fraser University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:DMWb,
author = "Jonathan M. Borwein",
title = "Doing Mathematics on the Web",
day = "20",
month = feb,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Stats and CS,
Dalhousie University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:DMWc,
author = "Jonathan M. Borwein",
title = "Doing Mathematics on the Web",
day = "26",
month = mar,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Science Faculty, Malaspina University
College, Nanaimo, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:DMWd,
author = "Jonathan M. Borwein",
title = "Doing mathematics on the web: the organic mathematics
collection",
day = "6",
month = aug,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Two lectures, Canada--USA Mathcamps, Babson College,
Wellesley, MA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:DMWe,
author = "Jonathan M. Borwein",
title = "Doing mathematics on the web",
day = "6",
month = oct,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "1997 Elizabeth Laird Lecture, University of Winnipeg,
Winnipeg, MB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:EMD,
author = "Jonathan M. Borwein",
title = "Evaluation of multi-dimensional {Euler\slash Zagier}
sums",
day = "19",
month = apr,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Special Session on Algebraic and Elementary Number
Theory, Corvallis, OR, USA, April 19--20.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:ISC,
author = "Jonathan M. Borwein",
title = "Inverse symbolic calculation: empirical mathematics",
day = "24",
month = sep,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CRM Workshop on Computer Algebra and Statistics,
Montreal, QC, Canada, September 21--27.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MDP,
author = "Jonathan M. Borwein",
title = "Multi-dimensional polylogarithmic sums",
day = "20",
month = may,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CRM Workshop on Experimental Mathematics and
Combinatorics, Montreal, QC, Canada, May 19--23.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MEM,
author = "Jonathan M. Borwein",
title = "Maximum Entropy Methods an Introduction",
day = "4",
month = mar,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "VHHSC Medical Imaging Group Open House, Vancouver
Hospital and Health Science Centre, Vancouver, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MMa,
author = "Jonathan M. Borwein",
title = "The {MathResource} and the {MathBrowser}",
day = "29--30",
month = jun,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "13 presentations at NECC, Seattle, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MMb,
author = "Jonathan M. Borwein",
title = "Multimodal Mathematics",
day = "5--6",
month = nov,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Software Demonstrations, Telelearning NCE, Second
Annual Conference, Toronto, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MMS,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Mathematics on Main Street",
day = "24",
month = apr,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Board--Faculty Association Dinner, Simon Fraser
University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1997:MPWa,
author = "Jonathan M. Borwein",
title = "Mathematical Publication on the {Web}",
type = "Lecture slides",
institution = "Department of Mathematics, Simon Fraser University",
address = "Burnaby, BC V5A 1S6, Canada",
pages = "20 (printed 4-up)",
day = "1",
month = jun,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CAMS--Fields Mini--Colloquium on Technology and
Mathematical Education, Toronto, ON, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/190",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:MPWb,
author = "Jonathan M. Borwein",
title = "Mathematical publishing on the web",
day = "22",
month = sep,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, School of Mathematical Sciences, Lakehead
University, Thunder Bay, ON P7B 5E1, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/190/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:OPT,
author = "Jonathan M. Borwein",
title = "Online publishing: two views from the electronic
trenches",
day = "7",
month = mar,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Scholarly Communication in the Next Millennium, Simon
Fraser University (Harbour Centre), Burnaby, BC,
Canada, March 5--8.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:PSV,
author = "Jonathan M. Borwein",
title = "Partially smooth variational analysis",
day = "2",
month = may,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Special Session on Optimization and Variational
Analysis, Wayne State University, Detroit, MI, USA, May
2--4.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TAPa,
author = "Jonathan M. Borwein",
title = "Talking about Pi",
day = "5",
month = may,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics and Statistics Department Colloquium,
Western Michigan University, Kalamazoo, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TAPb,
author = "Jonathan M. Borwein",
title = "Talking about Pi",
day = "4",
month = aug,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Two lectures, Canada--USA Mathcamps, Babson College,
Wellesley, MA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TAPc,
author = "Jonathan M. Borwein",
title = "Talking about Pi",
day = "22",
month = sep,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, School of Mathematical Sciences, Lakehead
University, Thunder Bay, ON P7B 5E1, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TAPd,
author = "Jonathan M. Borwein",
title = "Talking about Pi",
day = "3",
month = nov,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Undergraduate Colloquium, University of Western
Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TASa,
author = "Jonathan M. Borwein",
title = "Three adventures: Symbolically discovered identities
for $ \zeta (4 n + 3) $ and like matters",
day = "14",
month = jul,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary talk, Formal Power Series and Algebraic
Combinatorics, 9, Vienna, Austria, July 14--18.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:TASb,
author = "Jonathan M. Borwein",
title = "Three adventures: Symbolically discovered identities
for $ \zeta (4 n + 3) $ and like matters",
day = "9",
month = oct,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Joint CS\slash C\&O Colloquium, University of
Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:VSC,
author = "Jonathan M. Borwein",
title = "Virtual science: the changing face of mathematical
research",
day = "5",
month = aug,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Three lectures, Canada--USA Mathcamps, Babson College,
Wellesley, MA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1997:WP,
author = "Jonathan M. Borwein",
title = "Why Pi?",
day = "7",
month = oct,
year = "1997",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Winnipeg, Winnipeg, MB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:BVF,
author = "Jonathan M. Borwein",
title = "Brainstorming: views of the future",
day = "13",
month = nov,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation, First Workshop of the IMU Committee on
Electronic Information and Communication, (Nov 13--14),
Konrad-Zuse-Zentrum f{\"u}r Informationstechnik,
Berlin, Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:CNT,
author = "Jonathan M. Borwein",
title = "Collaborative Networking Technology in the
Mathematical Sciences",
day = "18",
month = nov,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MITACS\slash Canada--China Opening, Asia--Pacific
Centre, University of British Columbia, Vancouver, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:ES,
author = "Jonathan M. Borwein",
title = "{Euler} sums",
day = "29",
month = jun,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CECM98 Analysis Day, Simon Fraser University, Burnaby,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:HPS,
author = "Jonathan M. Borwein",
title = "High Performance Symbolic Computing: A Mathematician's
Perspective",
day = "1",
month = oct,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, NESRC-MSRI Workshop on Parallel
Symbolic Computation (Oct. 1--3), Berkeley, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:JP,
author = "Jonathan M. Borwein",
title = "The Joy of Pi",
day = "22",
month = apr,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Joint presentation and book signing with D. Blatner
and L. Berggren, University of Washington Bookstore,
Seattle, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:MFA,
author = "Jonathan M. Borwein",
title = "Multifunctional and functional analytic methods in
nonsmooth analysis",
day = "3--7",
month = aug,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Four Lectures, NATO Advanced Study Institute on
Analyse non lin{\'e}aire, {\'e}quations
diff{\'e}rentielles et contr{\^o}le, Universit{\'e} de
Montr{\'e}al, Montr{\'e}al, QC, Canada, July 27--Aug
7.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:MRI,
author = "Jonathan M. Borwein",
title = "Math Resources: Interactive Mathematics Workspaces",
day = "21",
month = nov,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Eleventh International Conference on Technology in
Collegiate Mathematics, New Orleans, LA, USA (Nov
20--22).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:PAM,
author = "Jonathan M. Borwein",
title = "Projection algorithms and monotone operators",
day = "20",
month = mar,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture in conjunction with CMA National
Symposium on Functional Analysis, Optimization and
Applications, University of Newcastle (CIDACS and
Mathematics), Newcastle, NSW, Australia, March 9--21.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:PSVa,
author = "Jonathan M. Borwein",
title = "Partially smooth variational analysis",
day = "9",
month = mar,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop talk, CMA National Symposium on Functional
Analysis, Optimization and Applications, University of
Newcastle, Newcastle, NSW, Australia, March 9--21.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:PSVb,
author = "Jonathan M. Borwein",
title = "Partially smooth variational analysis",
day = "24",
month = apr,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring 1998 West Coast Optimization Meeting, Harbour
Centre, Simon Fraser University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:SIT,
author = "Jonathan M. Borwein",
title = "Sandwich (interpolation) theorems for {Lipschitz}
functions",
day = "13",
month = mar,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop talk, CMA National Symposium on Functional
Analysis, Optimization and Applications, University of
Newcastle, Newcastle, NSW, Australia, March 9--21.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:SNM,
author = "Jonathan M. Borwein",
title = "Some new mean value inequalities",
day = "10",
month = jun,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:TAS,
author = "Jonathan M. Borwein",
title = "Three adventures in symbolic computing",
day = "31",
month = mar,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "The Macquarie Mathematics Colloquium and Number Theory
Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1998:VSD,
author = "Jonathan M. Borwein",
title = "Virtual science: doing math on the web",
day = "16",
month = mar,
year = "1998",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Public lecture in conjunction with CMA National
Symposium on Functional Analysis, Optimization and
Applications, University of Newcastle, Newcastle, NSW,
Australia, March 9--21.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Bailey:1999:EMR,
author = "David H. Bailey and Jonathan M. Borwein",
title = "Experimental Mathematics: Recent Developments and
Future Outlook",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "18",
year = "1999",
bibdate = "Thu Sep 01 10:29:03 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/250",
abstract = "While extensive usage of high-performance computing
has been a staple of other scientific and engineering
disciplines for some time, research mathematics is one
discipline that has heretofore not yet benefited to the
same degree. Now, however, with sophisticated
mathematical computing tools and environments widely
available on desktop computers, a growing number of
remarkable new mathematical results are being
discovered partly or entirely with the aid of these
tools. With currently planned improvements in these
tools, together with substantial increases expected in
raw computing power, due both to Moore's Law and the
expected implementation of these environments on
parallel supercomputers, we can expect even more
remarkable developments in the years ahead.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:CAN,
author = "Jonathan M. Borwein",
title = "Convex Analysis and Nonlinear Optimization",
day = "28",
month = mar,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mini-course (9 hours), 5th International Conference on
Approximation and Optimization in the Caribbean,
Guadeloupe, March 28 April 2, 1999.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:DMPa,
author = "Jonathan M. Borwein",
title = "The Doing of Mathematics in the Presence of
Technology",
day = "4",
month = jun,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Canadian Mathematics Education Study Group (CMESG),
First Plenary, Brock University, St. Catharines, ON,
Canada, June 4--8.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:DMPb,
author = "Jonathan M. Borwein",
title = "The Doing of Mathematics in the Presence of
Technology",
day = "13",
month = jul,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Session on Electronic Information and Communication,
Joint Australian--American Math Society Meetings,
Melbourne, VIC, Australia, July 12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:DMPc,
author = "Jonathan M. Borwein",
title = "Doing Math in the Presence of Technology",
day = "14",
month = oct,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
Miami University of Ohio (1999 Buckingham Fellow in
Residence).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:DNMa,
author = "Jonathan M. Borwein",
title = "Distributed Network Mathematics Laboratories",
day = "13",
month = jun,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "TL-NCE Project Leaders Meeting, Toronto, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:DNMb,
author = "Jonathan M. Borwein",
title = "Distributed Network Mathematics Laboratories",
day = "3",
month = aug,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MITACS Day, CECM, Simon Fraser University, Burnaby,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMEa,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "29",
month = jul,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, International Symposium on Symbolic
and Algebraic Commutation (ISSAC), Vancouver, BC,
Canada, July 29--31, 1999.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMEb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "17",
month = sep,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Physics Department, University of Bologna,
Bologna, Italy.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMIa,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics: Insight from Computation",
day = "16",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MAA Invited Address, Combined Mathematics Meetings,
San Antonio, TX, USA, January 12--16.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMIb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics: Insight from Computation",
day = "25",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Lecture II, Institute of Advanced Research in
Mathematics (IAS), Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMIc,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics: Insight from Computation",
day = "8",
month = feb,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "2 hour Invited Address, MAA Pacific Northwest Section
Meeting, Willamette University, Salem, OR, USA, March
12--13, 1999.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:EMId,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics: Insight from Computation",
day = "15",
month = oct,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Twenty-Seventh Annual Fall Conference: Twenty-Seventh
Annual Fall Conference: ``Experimental Mathematics'',
Miami University, October 15--16.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:GBGa,
author = "Jonathan M. Borwein",
title = "Generic Behaviour of Generalized Gradients",
day = "29",
month = may,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Nonlinear Analysis, Canadian
Mathematical Society Summer Meeting, Memorial
University, St John's, NL, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:GBGb,
author = "Jonathan M. Borwein",
title = "Generic Behaviour of Generalized Gradients",
day = "13",
month = jul,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Session on Nonlinear Dynamics and Optimization, Joint
Australian-American Math Society Meetings, Melbourne,
VIC, Australia, July 12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:HC,
author = "Jonathan M. Borwein",
title = "Honoris Causa",
day = "22",
month = sep,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Acceptance speech, University of Limoges, Limoges,
France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:IAM,
author = "Jonathan M. Borwein and June Lester",
title = "Issues for Active Math and Math Labs",
day = "9",
month = nov,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Issues for next generation telelearning systems,
Telelearning 1999, Montreal, QC, Canada, November
6--9.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:IML,
author = "Jonathan M. Borwein",
title = "Interactive Mathematics Labs",
day = "12",
month = nov,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CECM-MITACS Day Presentation, Simon Fraser University,
Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:1999:ITDa,
author = "Jonathan M. Borwein and Terry Stanway",
title = "The Impact of Technology on the Doing of Mathematics",
type = "Report",
institution = inst-CECM,
address = inst-CECM:adr,
pages = "7",
day = "8",
month = oct,
year = "1999",
bibdate = "Thu Sep 01 10:24:47 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Published in \cite{Borwein:1999:ITDb}.",
URL = "http://docserver.carma.newcastle.edu.au/248/",
abstract = "Technology has repeatedly promised to transform
mathematics pedagogically. More recently it has made
similar promises to the research community. That said,
mathematics in 1999 looks a lot more like mathematics
in 1939 than is the case with any of its sister
sciences. That this is about to change is inarguable.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:MSa,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "13",
month = jul,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Session on Operations Research, Joint
Australian-American Math Society Meetings, Melbourne,
VIC, Australia, July 12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:MSb,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "23",
month = sep,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloque: Analyse et Applications.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:MSc,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "1",
month = oct,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Pure Mathematics Department, University of
Western Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:NCMa,
author = "Jonathan M. Borwein and Terry Stanway",
title = "Numerical and Computational Mathematics at the
Undergraduate Level",
pages = "22",
day = "4",
month = jun,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Technology in Mathematics Education (TMEST), Plenary,
Brock University, St. Catharines, ON, Canada, June
3--4.",
URL = "http://docserver.carma.newcastle.edu.au/246/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Updated PDF file at URL on archive.org dated
31-Aug-1999.",
}
@Unpublished{Borwein:1999:PAT,
author = "Jonathan M. Borwein",
title = "Projection Algorithms \& Tangency Formulae",
day = "28",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Lecture III, Institute of Advanced Research in
Mathematics (IAS), Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:PC,
author = "Jonathan M. Borwein",
title = "Pi and its Computation",
day = "16",
month = oct,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Twenty-Seventh Annual Fall Conference: Twenty-Seventh
Annual Fall Conference: ``Experimental Mathematics'',
Miami University, October 15--16.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:PSVb,
author = "Jonathan M. Borwein",
title = "Partially smooth variational analysis",
day = "24",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear analysis seminar, Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:PSVc,
author = "Jonathan M. Borwein",
title = "Partially Smooth Variational Analysis",
day = "14",
month = sep,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seventh Conference on Well-posedness and Stability of
Optimization Problems, Gargnano, Italy, September
13--18.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:PW,
author = "Jonathan M. Borwein",
title = "Publishing on the Web",
day = "8",
month = feb,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Burnaby Rotary Club, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:SNMa,
author = "Jonathan M. Borwein",
title = "Some New Mean--value Inequalities",
day = "21",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Lecture I, Institute of Advanced Research in
Mathematics (IAS), Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:SNMb,
author = "Jonathan M. Borwein",
title = "Some New Mean--value Inequalities",
day = "6",
month = feb,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Winter 1998 West Coast Optimization Meeting,
University of Washington, Seattle, WA, USA, Feb 5--6.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:SNMc,
author = "Jonathan M. Borwein",
title = "Some New Mean-Value Theorems",
day = "16",
month = jul,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Sixth Australian Optimization Day, Ballarat, VIC,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:TAP,
author = "Jonathan M. Borwein",
title = "Talking about Pi",
day = "27",
month = jan,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Technion Mathclub Lecture, Technion, Haifa, Israel.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:1999:WP,
author = "Jonathan M. Borwein",
title = "Why Pi?",
day = "13",
month = mar,
year = "1999",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dinner Address, MAA Pacific Northwest Section Meeting,
Willamette University, Salem, OR, USA, March 12--13,
1999.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:CII,
author = "Jonathan M. Borwein",
title = "{CEIC--IMU} Initiatives",
day = "10",
month = jun,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CMS special session on Mathematics on the Internet, II
(MOTI-2), CMS Year 2000 Summer Meeting, Hamilton, ON,
Canada, June 10--13.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEa,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "8",
month = apr,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Washington State Meeting on Exact Algorithmics,
Pullman, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "12",
month = apr,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Department, Temple University,
Philadelphia, PA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEc,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "13",
month = apr,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium as Thirteenth Annual Donald H. Clanton
Visiting Mathematician, Furman University, Greenville,
SC 29613, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEd,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "19",
month = apr,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Western Australia, Crawley,
WA 6009, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEe,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "4",
month = oct,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium at GSF-Forschungszentrum Inst. f{\"u}r
Biomathematik und Biometriei, University of Munich,
M{\"u}nchen, Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEf,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "5",
month = oct,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "{Ernst Schr{\"o}dinger} Lecture, Schr{\"o}dinger
Institute, University of Vienna, Vienna, Austria.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEg,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "27",
month = nov,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Coimbra, Coimbra,
Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMEh,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "28",
month = nov,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Lisbon, Lisbon, Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMOa,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Other Good Stuff",
day = "13--14",
month = jul,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Four Hour Lecture Series, Canada--US Mathcamps,
University of British Columbia, Vancouver, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:EMOb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Other Good Stuff",
day = "17",
month = oct,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Science One Presentation, University of British
Columbia, Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:GBG,
author = "Jonathan M. Borwein",
title = "The Generic Behaviour of Generalized Gradients",
day = "19",
month = jul,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third World Congress of Nonlinear Analysts, Special
session on ``Variational Analysis and Optimization'',
July 19--25, 2000, Catania, Italy.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:GPG,
author = "Jonathan M. Borwein",
title = "Generic Properties of Generalized Gradients",
day = "31",
month = may,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloque, Universit{\'e} des Antilles et de la Guyane,
Guadeloupe.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:ITD,
author = "Jonathan M. Borwein",
title = "The Impact of Technology on the Doing of Mathematics",
day = "13",
month = apr,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Public Lecture as Donald H. Clanton Visiting
Mathematician, Furman University, Greenville, SC 29613,
USA.",
URL = "http://docserver.carma.newcastle.edu.au/248/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:MNI,
author = "Jonathan M. Borwein",
title = "Math{\'e}matiques numerique et informatique",
day = "2",
month = jun,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conf{\'e}rence, 5ieme Colloque de l'IREM (Institut de
recherche sur l'enseignement des math{\'e}matiques)
Antilles-Guyane, Guadeloupe.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:MSa,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "24",
month = may,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloque, Universit{\'e} des Antilles et de la Guyane,
Guadeloupe.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:MSb,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "2",
month = nov,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Department, Michigan State
University, East Lansing, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:MSI,
author = "Jonathan M. Borwein",
title = "Multivariable sinc integrals and volumes of convex
polyhedra",
day = "10",
month = dec,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Classical and Computational
Analysis, Canadian Mathematical Society Winter Meeting,
Vancouver, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:NCMb,
author = "Jonathan M. Borwein",
title = "Numerical and Computational Mathematics at the
Undergraduate Level",
day = "17",
month = jun,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture, Pacific Northwest Sectional MAA
Meeting, University of British Columbia, Vancouver, BC,
Canada, 16--17 June.",
URL = "http://docserver.carma.newcastle.edu.au/246/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:PSC,
author = "Jonathan M. Borwein",
title = "Parallel Symbolic Computation: Methods and Issues",
day = "13--16",
month = mar,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Haifa-Technion Workshop on `Inherently parallel
algorithms in optimization and feasibility and their
applications', March 14.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:SNM,
author = "Jonathan M. Borwein",
title = "Some New Mean-Value Theorems",
day = "29",
month = may,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloque, Universit{\'e} des Antilles et de la Guyane,
Guadeloupe.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:TPS,
author = "Jonathan M. Borwein",
title = "Tools for (Partially) Smooth Variational Analysis",
day = "25",
month = jul,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third World Congress of Nonlinear Analysts, Plenary
Lecture, July 19--25, 2000, Catania, Italy.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2000:UWH,
author = "Jonathan M. Borwein",
title = "The use of wireless and handheld devices in
telelearning",
day = "5",
month = nov,
year = "2000",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Panel, Telelearning Annual Meeting, Toronto, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:AWMb,
author = "Jonathan M. Borwein",
title = "Aesthetics for the Working Mathematician",
day = "20",
month = aug,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Mathematics Seminar, University of New South
Wales, Sydney, NSW, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/150/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:AWMc,
author = "Jonathan M. Borwein",
title = "Aesthetics for the Working Mathematician",
day = "21",
month = aug,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Colloquium, Macquarie University, Sydney,
NSW, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/150/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:AWMd,
author = "Jonathan M. Borwein",
title = "Aesthetics for the Working Mathematician",
day = "9",
month = dec,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on History of Mathematics, CMS Winter
Meeting, Toronto, ON, Canada, December 8--10, 2001.",
URL = "http://docserver.carma.newcastle.edu.au/150/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:CMCb,
author = "Jonathan M. Borwein",
title = "Challenges in Mathematical Computing --- Why Math is
Still Hard",
day = "2",
month = nov,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MAA Seaway Sectional Meeting, after dinner lecture,
Brock University, St. Catharines, ON, Canada, November
2--3, 2001.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:COM,
author = "Jonathan M. Borwein",
title = "Collaborative online mathematics: wishing and hoping",
day = "15",
month = nov,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture, Fields Institute Workshop on Online
Mathematics, November 15--17, 2001.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:DSS,
author = "Jonathan M. Borwein",
title = "{Dirichlet} Series of Squares of Sums of Squares",
day = "22",
month = oct,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ALGO Seminar, INRIA --- Rocquencourt, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:EMEa,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "21",
month = aug,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Seminar, Macquarie University, Sydney,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:EMEb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "23",
month = oct,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Distinguished Visitor Colloquium, INRIA ---
Rocquencourt, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:EMEc,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and Exact Computation",
day = "24",
month = oct,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Limoges, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:EMI,
author = "Jonathan M. Borwein",
title = "Exploring Math on the {Internet}",
day = "28",
month = jun,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Esso-CMS-PIMS Math Camp, (9.00--12.00), Simon Fraser
University, Burnaby, BC, Canada, June 25--29.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:FIW,
author = "Jonathan M. Borwein",
title = "The {International Mathematical Union}'s Electronic
Initiatives",
day = "25",
month = sep,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First International Workshop on Mathematical Knowledge
Management, Sept 24--26, RISC Linz, Austria.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:IMU,
author = "Jonathan M. Borwein",
title = "The {International Math Union}'s Electronic
Initiatives --- and {WestGrid}",
day = "27",
month = jul,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CECM01 Summer Conference, Analysis, Computation and
Communication Simon Fraser, July 27--28.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:MET,
author = "Jonathan M. Borwein",
title = "Maximum Entropy-Type Methods and Convex Programming",
day = "17",
month = may,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on New Approaches to the Phase Problem,
Lawrence Berkeley National Laboratory, Berkeley, CA,
USA, May 17--19 (replaced by poster).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:MSIa,
author = "Jonathan M. Borwein",
title = "Multivariable sinc integrals and volumes of convex
polyhedra",
day = "10",
month = jan,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Series and Integrals, Combined
Mathematics Meetings, New Orleans, LA, USA, January
9--13.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:MSIb,
author = "Jonathan M. Borwein",
title = "Multivariable sinc integrals and volumes of convex
polyhedra",
day = "16",
month = aug,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, University of Newcastle, Newcastle,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2001:MSIc,
author = "Jonathan M. Borwein",
title = "Multivariable sinc integrals and volumes of convex
polyhedra",
day = "22",
month = oct,
year = "2001",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ALGO Seminar, INRIA --- Rocquencourt, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:BMO,
author = "Jonathan M. Borwein",
title = "{Bregman} Monotone Optimization Methods and Related
Convex Functions",
day = "16",
month = jul,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, IV Brazilian Workshop on Continuous
Optimization, IMPA, Rio de Janeiro, Brazil, July
15--20, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:CNF,
author = "Jonathan M. Borwein",
title = "The {CEIC}: The Next Four Years",
day = "2",
month = nov,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "West Coast Optimization Fall Meeting, University of
Washington, Seattle, WA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DEM,
author = "Jonathan M. Borwein",
title = "Digitizing the entire mathematical literature: what
wild surmise!",
day = "9",
month = dec,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CMS Special Session on History of Mathematics, Ottawa,
December 8--10, 2002. (Also presented to CISTI Board,
December 6th.).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DLM,
author = "Jonathan M. Borwein",
title = "The Digital Library of Mathematics",
day = "31",
month = aug,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation at ICM Satellite Meeting on Electronic
Information and Communication in Mathematics, Beijing,
August 29--31, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DMFa,
author = "Jonathan M. Borwein",
title = "Differentiability of monotone functions on separable
{Banach} space",
day = "4",
month = may,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring 2002 West Coast Optimization Meeting, Burnaby
Mountain Campus, Simon Fraser University, Burnaby, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DMFb,
author = "Jonathan M. Borwein",
title = "Differentiability of monotone functions on separable
{Banach} space",
day = "13",
month = nov,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nonlinear Analysis Seminar, University of Pau, 64012
Pau, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DSSa,
author = "Jonathan M. Borwein",
title = "{Dirichlet} series for squares of sums of squares",
day = "22",
month = may,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture at Seventh Canadian Number Theory
Association Conference at CRM, May 19--25, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:DSSb,
author = "Jonathan M. Borwein",
title = "{Dirichlet} series for squares of sums of squares",
day = "18",
month = oct,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Discrete Mathematics Seminar, University of Calgary,
Calgary, AB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:EMCa,
author = "Jonathan M. Borwein",
title = "The Experimental Mathematician: A Computational Guide
to the Mathematical Unknown",
day = "17--19",
month = aug,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture at The First International Congress of
Mathematical Software, Beijing, China, August 17--19,
2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:EMCb,
author = "Jonathan M. Borwein",
title = "The Experimental Mathematician: A Computational Guide
to the Mathematical Unknown",
day = "14",
month = nov,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Numerical Analysis Seminar, University of Pau, 64012
Pau, France.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:EMPa,
author = "Jonathan M. Borwein",
title = "The Experimental Mathematician: The Pleasure of
Discovery and the Role of Proof",
day = "26",
month = may,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture at 25th Anniversary Meeting of the
Canadian Math Educators Study Group (CMESG), Queen's
University, Kingston, ON, May 25--29, 2002.",
URL = "http://docserver.carma.newcastle.edu.au/264/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:EMPb,
author = "Jonathan M. Borwein",
title = "The Experimental Mathematician: The Pleasure of
Discovery and the Role of Proof",
day = "27",
month = may,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Response and Discussion, 25th Anniversary Meeting of
the Canadian Math Educators Study Group (CMESG),
Queen's University, Kingston, ON, Canda, May 25--29,
2002.",
URL = "http://docserver.carma.newcastle.edu.au/264/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:IMU,
author = "Jonathan M. Borwein",
title = "The {International Mathematical Union}'s Electronic
Initiatives",
day = "16",
month = feb,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Managing digital information in
mathematics: From journals to the gray literature.
during the Fourth Annual CEIC Meeting, Vancouver Wosk
Centre, Vancouver, BC, Canada, February 15--17, 2001.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:IWC,
author = "Jonathan M. Borwein",
title = "Introduction to the work of the {CEIC}",
day = "26",
month = aug,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Electronic Information Afternoon at the ICM, Beijing,
August 20--27, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:MMF,
author = "Jonathan M. Borwein",
title = "Mathematical Marvels: Fields of Dreams",
day = "26",
month = mar,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Simon Fraser series A Passion For Excellence, on the
Nobel and like Prizes.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:NFY,
author = "Jonathan M. Borwein",
title = "The Next Four Years",
day = "29",
month = aug,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Invited Lecture at ICM Satellite Meeting on Electronic
Information and Communication in Mathematics, Beijing,
China, August 29--31, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:WMD,
author = "Jonathan M. Borwein",
title = "Welcome to the Mathematics of Dynamic {SPECT}",
day = "21",
month = sep,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Exploring the Frontiers of Dynamic SPECT,
Wall Institute, University of British Columbia,
Vancouver, BC, Canada, September 20--23, 2002.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:WMSa,
author = "Jonathan M. Borwein",
title = "Why Math is (Still) Hard: Challenges for Mathematical
Computing",
day = "20",
month = mar,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Distinguished Visitors Colloquium, Wayne State,
Detroit, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2002:WMSb,
author = "Jonathan M. Borwein",
title = "Why Math is (Still) Hard: Challenges for Mathematical
Computing",
day = "22",
month = apr,
year = "2002",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Centre de Recherches Math{\'e}matiques,
Montreal, QC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACFa,
author = "Jonathan M. Borwein",
title = "The {AGM} Continued Fraction of {Ramanujan}",
day = "31",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CECM Day 2003, Simon Fraser University, Burnaby, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACFb,
author = "Jonathan M. Borwein",
title = "The {AGM} Continued Fraction of {Ramanujan}",
day = "16",
month = sep,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary Lecture, First Congress of the
Mathematical Society of South East Europe (MASSE{\'E}),
Borovets, Bulgaria.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACFc,
author = "Jonathan M. Borwein",
title = "The {AGM} Continued Fraction of {Ramanujan}",
day = "14",
month = oct,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Reed College, OR, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACGa,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation, {I}",
day = "9",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICIAM 2003 Mini-symposium, International Congress on
Industrial and Applied Mathematics, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACGb,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation, {II}",
day = "9",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICIAM 2003 Mini-symposium, International Congress on
Industrial and Applied Mathematics, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:ACGc,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation",
day = "27",
month = nov,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to the SFU Board of Governors, Burnaby,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:BMP,
author = "Jonathan M. Borwein",
title = "Bringing Math to the Public",
day = "18",
month = may,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Panel Moderator, CMS National School Math Forum, May
16--18, Montreal, QC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:CHC,
author = "Jonathan M. Borwein",
title = "{Canadian Highend Computing Initiatives}",
day = "30",
month = apr,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "NRC-CISTI Presentation, CISTI Advisory Board,
Fredericton, NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:DM,
author = "Jonathan M. Borwein",
title = "Discovery in Mathematics",
day = "24",
month = jan,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Special Functions in the Digital Age,
Simon Fraser University, January 23--24, 2003, Burnaby,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:DSF,
author = "Jonathan M. Borwein",
title = "The Department",
day = "26",
month = feb,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Simon Fraser University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:EM,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics",
day = "28",
month = apr,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie University, Faculty of Computing Science
Colloquium, 2003, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:EMC,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics: Computational Paths to
Discovery",
day = "27",
month = jun,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Adelaide, Adelaide, SA,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:EMPa,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics: {Part I}",
day = "25",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Frontiers of Mathematics, Lecture Series, Texas A\&M
University, College Station, TX, USA, March 22--27,
2003.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:EMPb,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics: {Part II}",
day = "26",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Frontiers of Mathematics, Lecture Series, Texas A\&M
University, College Station, TX, USA, March 22--27,
2003.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:FNA,
author = "Jonathan M. Borwein",
title = "The {Fields}, {Nevanlinna} and {Abel Prizes}: Chasing
the Mathematical Prize",
day = "13",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "In lecture series ''Recognizing Excellence. The Nobels
and Other Prizes'', Series, SFU Harbour Centre,
Burnaby, BC, Canada, 2003.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:HEI,
author = "Jonathan M. Borwein",
title = "Handling Electronic Issues in the International
Mathematical Community",
day = "7",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICIAM 2003 Minisymposium, International Congress on
Industrial and Applied Mathematics, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPa,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "14",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Pi Day Open House, Simon Fraser University, Burnaby,
BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPb,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "24",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Frontiers of Mathematics, Lecture Series, Texas A\&M
University, March 22--27, 2003.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPc,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "1",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of South Australia, Adelaide,
SA, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPd,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "3",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Royal Melbourne Institute of Technology,
Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPe,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "15",
month = jul,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPf,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "10",
month = oct,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LPg,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "30",
month = oct,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Regina, Regina, SK,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LRPa,
author = "Jonathan M. Borwein",
title = "The long range plan for high-end computing in
{Canada}",
day = "3",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Vancouver `town hall` meeting, Simon Fraser
University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:LRPb,
author = "Jonathan M. Borwein",
title = "The long range plan for high-end computing in
{Canada}",
day = "10",
month = mar,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Victoria `town hall' meeting, University of Victoria,
Victoria, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:MEPa,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century",
day = "25",
month = jun,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Adelaide, SA, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/272/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:MEPb,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century",
day = "21",
month = oct,
year = "2003",
bibdate = "Tue Jan 03 08:13:52 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "98 lecture slides from the Royal Society Lecture
Series. Simon Fraser University, Burnaby, BC, Canada.",
URL = "http://www.lacim.uqam.ca/~plouffe/articles/rsc-talk",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:MEPc,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century",
day = "23",
month = oct,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Northern British Columbia,
Prince George, BC, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/272/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:MEPd,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment: Plausible Reasoning in the
21st Century",
day = "30",
month = oct,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Saskatchewan, Saskatoon, SK,
Canada.",
URL = "http://docserver.carma.newcastle.edu.au/272/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:NNM,
author = "Jonathan M. Borwein",
title = "Nurturing New Mathematicians: Some Advice on
Advising",
day = "13",
month = jun,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation at Panel on Supervision, Project NexTMAC,
CMS 2003 Summer Meeting, University of Alberta,
Edmonton, Alberta.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:OFV,
author = "Jonathan M. Borwein",
title = "A One Function Variational Principle",
day = "10",
month = sep,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Eighth Conference on Well-posedness and Stability of
Optimization Problems, Marseilles, France, September
8--12.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:OWL,
author = "Jonathan M. Borwein",
title = "Official {WestGrid} Launch",
day = "8",
month = may,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Vancouver MC, NewMIC, Edmonton, Calgary, Ottawa.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:TOQ,
author = "Jonathan M. Borwein",
title = "Three Open Questions",
day = "17",
month = sep,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session in Honour of Petar Kenderov's 60th
Birthday, First Congress of the Mathematical Society of
South East Europe (MASSE{\'E}), Bulgaria.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2003:WDM,
author = "Jonathan M. Borwein",
title = "The World Digital Mathematics Library",
day = "16",
month = sep,
year = "2003",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session, First Congress of the Mathematical
Society of South East Europe (MASSE{\'E}), Bulgaria.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACCa,
author = "Jonathan M. Borwein",
title = "Advanced Computing in {Canada}",
day = "13",
month = jun,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentations on the Long Range Plan for Advanced
Computing in Canada to the CMS Development Group and to
the Board, CMS Summer Meeting, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACCb,
author = "Jonathan M. Borwein",
title = "Advanced Computing in {Canada}",
day = "4",
month = nov,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentations on the Long Range Plan for {HPC} in
{Canada}, University of Saskatchewan, Saskatoon, SK,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACCc,
author = "Jonathan M. Borwein",
title = "Advanced Computing in {Canada}",
day = "5",
month = nov,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentations on the Long Range Plan for {HPC} in
{Canada}, University of Saskatchewan, Saskatoon, SK,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACEa,
author = "Jonathan M. Borwein",
title = "Advanced Collaborative Environments and the Access
Grid",
day = "28",
month = jun,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "4th European Math Congress, Stockholm, Sweden
(delivered by Alf van der Poorten).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACEb,
author = "Jonathan M. Borwein",
title = "Advanced Collaborative Environments",
day = "1",
month = oct,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, St Francis Xavier University, Antigonish,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACGa,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation",
day = "6",
month = jan,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, North American Knowledge Management
Meeting, Phoenix, AZ, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACGb,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation",
day = "29",
month = jan,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Dalhousie Faculty of Computer Science,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ACGc,
author = "Jonathan M. Borwein",
title = "Advanced Collaboration and Grid Computation",
day = "12",
month = mar,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Informal AARMS Workshop, Dalhousie Faculty of Computer
Science, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:AGMb,
author = "Jonathan M. Borwein",
title = "The {Atlantic} Gateway to Mathematics",
day = "4",
month = dec,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First AGATE-M Annual Conference, Mount Allison
University, Sackville, NB, Canada, December 3--4.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:AGMc,
author = "Jonathan M. Borwein",
title = "The {Atlantic} Gateway to Mathematics",
day = "16",
month = dec,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Nova Scotia Provincial Mathematics
Team Meeting.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ASC,
author = "Jonathan M. Borwein",
title = "Advanced Scientific Collaboration Environments and the
Access Grid",
day = "4",
month = nov,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Computer Science Colloquium, University of
Saskatchewan, Saskatoon, SK, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:BSCa,
author = "Jonathan M. Borwein",
title = "Bumps, Slices and Cusps",
day = "15",
month = jul,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture on Nonsmooth Analysis, First
Franco--Canadian Math Meeting, Toulouse, France, July
12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:BSCb,
author = "Jonathan M. Borwein",
title = "Bumps, Slices and Cusps",
day = "11",
month = sep,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Sixth Midwest Optimization Seminar, Plenary Talk,
Wayne State University, Detroit, MI, USA, September
11.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:DBM,
author = "Jonathan M. Borwein",
title = "{David Borwein} and Me: a Chronology",
day = "14",
month = jun,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CMS Summer Meeting, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:DMO,
author = "Jonathan M. Borwein",
title = "Decomposition of Monotone Operators",
day = "5",
month = apr,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Control, Set-Valued Analysis and
Applications University of French Antilles and Guyana,
April 5--8.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ED,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: The Long Range Plan for {HPC} in
{Canada}",
day = "8",
month = nov,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Dalhousie Faculty of Computer Science,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:EMa,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics",
day = "28",
month = jan,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Graduate Seminar, Mathematics Department, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:EMb,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics",
day = "29",
month = mar,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Opening Lecture, Workshop on Experimental Mathematics,
Oakland, CA, USA, March 29--30.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:EMc,
author = "Jonathan M. Borwein",
title = "Experimentation in Mathematics",
day = "8",
month = may,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, East Coast Computer Algebra Day,
Wilfred Laurier University, Waterloo, ON N2L 3C5,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:IEM,
author = "Jonathan M. Borwein",
title = "Implications of Experimental Mathematics for the
Philosophy of Mathematics",
day = "12",
month = dec,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CMS Winter Meeting, Session on History of Mathematics,
McGill University, Montreal, QC, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/280/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:ME,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment",
day = "2",
month = jun,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Opening Lecture, Discovery by Computer GERAD-DIMACS
Workshop, Montreal, June 2--5.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:MS,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "11",
month = mar,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Informal AARMS Workshop, Dalhousie Faculty of Computer
Science, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:PRCa,
author = "Jonathan M. Borwein",
title = "Plausible Reasoning in the 21st Century {I} \& {II}",
day = "25",
month = jun,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "NSF Undergraduate Research Experience Lectures,
Clemson University, Clemson, SC, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:PRCb,
author = "Jonathan M. Borwein",
title = "Plausible Reasoning in the 21st Century",
day = "9",
month = jul,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Regular Lecture, ICME10, Copenhagen, Denmark, July
5--11.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:PRCc,
author = "Jonathan M. Borwein",
title = "Plausible Reasoning in the 21st Century",
day = "1",
month = oct,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, St Francis Xavier University, Antigonish,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:PRCd,
author = "Jonathan M. Borwein",
title = "Plausible Reasoning in the 21st Century",
day = "4",
month = oct,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Acadia Symposium on Modelling and Computation, Acadia
University, Wolfville, NS B4P 2R6, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:PRCe,
author = "Jonathan M. Borwein",
title = "Plausible Reasoning in the 21st Century",
day = "24",
month = oct,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maritime Teachers Association, New Glasgow, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:RACa,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics:
the real case",
day = "4",
month = mar,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Department, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:RACb,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics:
the complex case",
day = "10",
month = mar,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, Mathematics Department, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:RACc,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics",
day = "27",
month = aug,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Analytic and Computational Number Theory,
August 23--27, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:SFV,
author = "Jonathan M. Borwein",
title = "A Single Function Variational Principle and
Applications",
day = "14",
month = may,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Large Scale Nonlinear and Semidefinite Programming
Workshop, University of Waterloo, ON, Canada, May
12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:SMA,
author = "Jonathan M. Borwein",
title = "Surprise Maximization: Avoiding a Paradox",
day = "5",
month = nov,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Colloquium, University of Saskatchewan,
Saskatoon, SK, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2004:WC,
author = "Jonathan M. Borwein",
title = "The work of the {CEIC}",
day = "9",
month = jul,
year = "2004",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to ICMI General Assembly, ICME10,
Copenhagen, Denmark, July 5--11.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:A,
author = "Jonathan M. Borwein",
title = "AARMS",
day = "17",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation, Department of Math and Stats, Memorial
University, St John's, NL, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:ADL,
author = "Jonathan M. Borwein and John Ball",
title = "Access to the Digitized Literature",
day = "15",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MSRI Workshop on Digitizing Mathematics, April 15--17,
Berkeley, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:AP,
author = "Jonathan M. Borwein",
title = "``{AARMS}'' Presentation",
day = "1",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 12:39:24 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Department of Math and Stats, University of New
Brunswick, Fredericton, NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:ATS,
author = "Jonathan M. Borwein",
title = "Ap{\'e}ry-type Series: a Case Study",
day = "2",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fourth Clifford Lecture, Tulane University, New
Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:CLC,
author = "Jonathan M. Borwein",
title = "Computational Lists and Challenges in Mathematics?",
day = "28",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied and Computational Mathematics Seminar,
Dalhousie University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:DC,
author = "Jonathan M. Borwein",
title = "The Digital Congress",
day = "20",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Site visit presentation, Canadian bid to hold ICM 2010
in Montreal, QC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:DSC,
author = "Jonathan M. Borwein",
title = "Dynamics of some continued fractions originating with
{Ramanujan}",
day = "6",
month = jan,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Dynamical Systems, Combined
Mathematics Meetings, Atlanta, GA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EDLa,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "17",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to HPCS05, May 15--18, 2005.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EDLb,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "27",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to ACOA, Halifax, NS.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EDLc,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "31",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to NSERC Executive VP, Ottawa, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EDLd,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "27",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to NRC President, Ottawa.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EDLe,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "15",
month = aug,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Industry Canada, Ottawa, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EMPb,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and its Philosophical
Implications",
day = "5",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Australian Mathematical Sciences
Institute, Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EMPc,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics and its Philosophical
Implications",
day = "26",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Dias Abertos, University of Porto, Porto,
Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:EMW,
author = "Jonathan M. Borwein",
title = "{East} meets {West}: Collaboration goes National",
day = "8",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Delivered over the Access Grid to the opening of
IRMACS at Simon Fraser University, Burnaby, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:FH,
author = "Jonathan M. Borwein",
title = "The Future is Here?",
day = "6",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to National Educational Forum, Fields
Institute, Toronto, ON M5T 3J1, Canada, May 6--8.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:GV,
author = "Jonathan M. Borwein",
title = "32 {Goldbach} Variations",
day = "18",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:HIW,
author = "Jonathan M. Borwein",
title = "{Hilbert}'s Inequality and {Witten}'s Zeta",
day = "25",
month = aug,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Trans Canada Computational Science Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:HPMa,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics",
day = "16",
month = may,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary, HPCS05, Guelph, ON, Canada, May 15--18,
2005.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:HPMb,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics",
day = "10",
month = jun,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to HPC@Dal, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:HPMc,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics",
day = "10",
month = jun,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Media Light Paths project `kick off',
June 10, 2005.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:HPMd,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics",
day = "14",
month = jun,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, Ontario R\&E Summit, Toronto, ON,
Canada, June 13--14, 2005.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:LCM,
author = "Jonathan M. Borwein",
title = "Lists and Challenges in Mathematics?",
day = "10",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Department, Rutgers, the State
University of New Jersey.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:LGC,
author = "Jonathan M. Borwein",
title = "The {LRP}, Grid Computing and {ACE}'s",
day = "2",
month = mar,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Senate Computing and Information Technology
Planning Committee (SCITPC) Presentation, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:LPa,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "3",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium: University of Melbourne, Melbourne, VIC,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:LPb,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "4",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium: La Trobe University, Melbourne, VIC,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MEa,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment",
day = "3",
month = mar,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Math Circles --- for High Schools, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MEb,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment, {I}",
day = "31",
month = mar,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Clifford Lecture, Tulane University, New
Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MEI,
author = "Jonathan M. Borwein",
title = "Mathematics by Experiment, {II}",
day = "1",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Second Clifford Lecture, Tulane University, New
Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MEM,
author = "Jonathan M. Borwein",
title = "Maximum Entropy Methods and (Non-) convex
Programming",
day = "7",
month = jan,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Nonsmooth Analysis and Imaging,
Combined Mathematics Meetings, Atlanta, GA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MOCa,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "8",
month = sep,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "6th Stability Workshop, Borevetz, Bulgaria, September
5--9.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MOCb,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "25",
month = sep,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote talk, Fitzpatrick Memorial Meeting, Perth, WA,
Australia, September 25th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MOCc,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "14",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Address, 6th Midwest Optimization Meeting,
Kalamazoo, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MOCd,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "23",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Lisbon, Lisbon, Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:MS,
author = "Jonathan M. Borwein",
title = "Maximizing Surprise",
day = "25",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, University of Aviero, Centre for Studies on
Optimization and Control, Aveiro, Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:PIEa,
author = "Jonathan M. Borwein",
title = "Philosophical Implication of Experimental
(Computational) Mathematics",
day = "7",
month = jan,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Philosophy of Mathematics, Invited Presentation, MAA,
Atlanta, GA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:PIEb,
author = "Jonathan M. Borwein",
title = "Philosophical Implication of Experimental
(Computational) Mathematics",
day = "26",
month = jan,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Honours Seminar, Mathematics Department, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:RB,
author = "Jonathan M. Borwein",
title = "Reality Bytes",
day = "16",
month = jun,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Joint German-Austrian-AMS Meeting, Mainz, Germany,
June 16--19, 2005. (Given by Martin Groetschel).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:SEC,
author = "Jonathan M. Borwein",
title = "Symbolic and Experimental Computation",
day = "12",
month = jul,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Shad Valley Afternoon in D-DRIVE.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:TTC,
author = "Jonathan M. Borwein",
title = "(2 times) Ten Challenge Problems",
day = "1",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third Clifford Lecture, Tulane University, New
Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:VOMa,
author = "Jonathan M. Borwein",
title = "Visualisation and Other Mathematical Learning Tools",
day = "13",
month = sep,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "TransCanada Computational Science Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:VOMb,
author = "Jonathan M. Borwein",
title = "Visualisation and Other Mathematical Learning Tools",
day = "28",
month = sep,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Lecture to Teachers, Australian Math Society Meetings,
Perth, WA, Australia, September 26--30th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:VOMc,
author = "Jonathan M. Borwein",
title = "Visualisation and Other Mathematical Learning Tools",
day = "15",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Math Circles--for High Schools.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:VOT,
author = "Jonathan M. Borwein",
title = "Visualization and other tools for mathematics",
day = "9",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Statistics and Operations Research
Department, University of North Carolina.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WDD,
author = "Jonathan M. Borwein",
title = "What is {D-DRIVE}?",
day = "27",
month = apr,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Exhibit and presentation, Dymaxion Exchange, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPa,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics",
day = "19",
month = jul,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Shad Valley Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPb,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics",
day = "26",
month = sep,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary Lecture, Australian Math Society
Meetings, Perth, WA, Australia, September 26--30th.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPc,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "13",
month = oct,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Math and Stats, Western
Michigan University, Kalamazoo, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPd,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "1",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Math and Stats, University
of New Brunswick, Fredericton.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPe,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics",
day = "25",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Aviero, Aveiro, Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2005:WHPf,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "28",
month = nov,
year = "2005",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Lisbon, Lisbon, Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:ACEa,
author = "Jonathan M. Borwein",
title = "Advanced Collaborative Environments and Tools",
day = "6",
month = mar,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Intelligent Computing, Dalhousie, March
6--7, 2006.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:ACEb,
author = "Jonathan M. Borwein",
title = "Advanced Collaborative Environments",
day = "30",
month = may,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Symposium on the Computer: the once and future medium
for the social sciences and humanities, York
University, Toronto, ON, Canada, May 30.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:ACEc,
author = "Jonathan M. Borwein",
title = "Advanced Collaborative Environments",
day = "28",
month = jun,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Canadian International Olympiad Team,
Dalhousie University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:AMO,
author = "Jonathan M. Borwein and H. Wiersma",
title = "Acyclic Monotone Operators",
day = "20",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Atlantic Analysis Days, January 20--21, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:BP,
author = "Jonathan M. Borwein",
title = "Backing up the planet",
day = "25",
month = nov,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview on Quirks and Quarks, CBC Radio One.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:CAD,
author = "Jonathan M. Borwein",
title = "Computer-assisted discovery and proof of generating
functions for zeta functions",
day = "21",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Atlantic Analysis Days, January 20--21, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:CE,
author = "Jonathan M. Borwein",
title = "Collaborative Environments",
day = "17",
month = may,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Panel Discussion HPCS 06, Memorial University, St
John's, NL, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:DSC,
author = "Jonathan M. Borwein",
title = "Dynamics of some continued fractions originating with
{Ramanujan}",
day = "31",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Seminar, University of Waterloo,
Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:ED,
author = "Jonathan M. Borwein",
title = "Engines of Discovery: the Long Range Plan for {HPC} in
{Canada}",
day = "12",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to NSERC President and Senior
Administrators, Ottawa.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:EEBa,
author = "Jonathan M. Borwein",
title = "Effective Error Bounds for {Euler--Maclaurin}-Based
Quadrature Schemes",
day = "16",
month = may,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "HPCS 06, Memorial University, St John's, NL, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/297/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:EEBb,
author = "Jonathan M. Borwein",
title = "Effective Error Bounds for {Euler--Maclaurin}-Based
Quadrature Schemes",
day = "26",
month = may,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Computer Science Seminar, University of Saskatchewan,
Saskatoon, SK, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/297/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:EMEa,
author = "Jonathan M. Borwein",
title = "Experimental Math and Extreme Quadrature, {I}",
day = "25",
month = oct,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, D-DRIVE, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:EMEb,
author = "Jonathan M. Borwein",
title = "Experimental Math and Extreme Quadrature, {II}",
day = "1",
month = nov,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, D-DRIVE, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLa,
author = "Jonathan M. Borwein",
title = "First Lecture",
day = "10",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MAA Shortcourse on Experimental Mathematics, San
Antonio, TX, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLb,
author = "Jonathan M. Borwein",
title = "Final Lecture",
day = "11",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "MAA Shortcourse on Experimental Mathematics, San
Antonio, TX, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLVa,
author = "Jonathan M. Borwein",
title = "Four Lectures on Variational Principles. {I}: Bumps,
Cusps and Slices",
day = "24",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring School on Analysis, Paseky, Czech Republic.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLVb,
author = "Jonathan M. Borwein",
title = "Four Lectures on Variational Principles. {II}:
Monotone operators as Convex Objects",
day = "25",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring School on Analysis, Paseky, Czech Republic",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLVc,
author = "Jonathan M. Borwein",
title = "Four Lectures on Variational Principles. {III}:
Decompositions of Monotone Operators",
day = "26",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring School on Analysis, Paseky, Czech Republic",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:FLVd,
author = "Jonathan M. Borwein",
title = "Four Lectures on Variational Principles. {IV}:
{Chebyshev} Sets and Proximality",
day = "28",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Spring School on Analysis, Paseky, Czech Republic.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:HPMa,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics in {Maple}",
day = "24",
month = mar,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, MapleSoft, Waterloo, Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:HPMb,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics and its Management",
day = "16",
month = jun,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Information Technology Laboratory, NIST,
Washington, DC, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:HPMc,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics and its Management",
day = "27",
month = nov,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Math and Stats, York
University, Toronto, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:HPMd,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics and its Management",
day = "3",
month = dec,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, AMSI Access Grid Conference, La Trobe
University, Melbourne, VIC, Australia (given over
Access Grid).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:HPMe,
author = "Jonathan M. Borwein",
title = "High Performance Mathematics and its Management",
day = "8",
month = dec,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA Hot Topics Workshop, The Evolution of Mathematical
Communication in the Age of Digital Libraries, December
8--9.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:LP,
author = "Jonathan M. Borwein",
title = "Life of Pi",
day = "13",
month = mar,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mona Campus, University of the West
Indies, Kingston, Jamaica.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:LRP,
author = "Jonathan M. Borwein",
title = "The long-range plan for advanced computing in
{Canada}",
day = "28",
month = sep,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Petter Nicholson, President Council of
Canadian Academies (CCA), Ottawa, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:MEM,
author = "Jonathan M. Borwein",
title = "Maximum Entropy Methods and (Non-) convex
Programming",
day = "5",
month = oct,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary talk Atlantic Optimization Days, Fredericton,
NB, Canada, Oct 5--6.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:MOCa,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "30",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Optimization Seminar, University of Waterloo,
Waterloo, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:MOCb,
author = "Jonathan M. Borwein",
title = "Monotone operators as convex objects",
day = "19",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, Mathematics of Optimization and
Decision, Guadeloupe, April 18--21, 2006.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:MPR,
author = "Jonathan M. Borwein",
title = "Mathematics and Plausible Reasoning",
day = "24",
month = may,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ISM, Graduate Student Conference, Laval, QC, Canada.
May 23--25, 2006.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:MSM,
author = "Jonathan M. Borwein",
title = "Maximality of Sums of Monotone Operators",
day = "10",
month = dec,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Functional Analysis.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:NDT,
author = "Jonathan M. Borwein",
title = "Notes from, the digital trenches: the work of the
{CEIC}",
day = "10",
month = oct,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "C2C Seminar, from D-DRIVE.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:WHPa,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "30",
month = jan,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Waterloo, Waterloo, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:WHPb,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "3",
month = mar,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Colloquium, Acadia University, Wolfville,
NS B4P 2R6, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2006:WHPc,
author = "Jonathan M. Borwein",
title = "What is High Performance Mathematics?",
day = "26",
month = apr,
year = "2006",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Spring School on Analysis, Paseky, Czech
Republic.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:APP,
author = "Jonathan M. Borwein",
title = "{AARMS}: Past, Present and Future",
day = "5",
month = feb,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Math and Stats, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:BLS,
author = "Jonathan M. Borwein",
title = "The Book of {Lawrence}: a Serious Satire",
day = "4",
month = feb,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation, Halifax Unitarian Universalist Assembly,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:CAD,
author = "Jonathan M. Borwein",
title = "Computer-assisted Discovery and Proof of Generating
Functions for {Riemann}'s Zeta",
day = "5",
month = jan,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Lecture, MAA Special Session on Experimental
Mathematics.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:CSF,
author = "Jonathan M. Borwein",
title = "The {C2C} Seminar: Five Years of Experience with the
{Access Grid}",
day = "13--16",
month = may,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "HPCS07, University of Manitoba, Winnipeg, MB,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:CSR,
author = "Jonathan M. Borwein and M. Macklem",
title = "The {C2C} Seminar and Remote Mathematical
Collaboration",
day = "8",
month = feb,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to e+Calculus Conference Lisbon,
Portugal.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:CTH,
author = "Jonathan M. Borwein",
title = "Collaborative Technology: High Performance Mathematics
and its Management",
day = "12",
month = jul,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AARMS\slash ACENet\slash MITAC Summer Workshop on High
Performance Computing in the Mathematical Sciences,
Acadia University, Wolfville, NS, July 9--12.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:ECB,
author = "Jonathan M. Borwein",
title = "Effective Computation of {Bessel} Functions",
day = "27",
month = jul,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "8th Bluenose Numerical Analysis Days, St Marys
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:EDPa,
author = "Jonathan M. Borwein",
title = "Experimental Discovery and Proof of Identities",
day = "15",
month = nov,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Chaitin 60th Birthday Symposium, IBM Watson Centre,
Yorktown, NY, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:EDPb,
author = "Jonathan M. Borwein",
title = "Experimental Discovery and Proof of Generating
Functions",
day = "9",
month = dec,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Algorithmic Challenges in
Polynomial and Linear Algebra CMS Winter Meeting,
University of Western Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:ELAb,
author = "Jonathan M. Borwein",
title = "Effective {Laguerre} Asymptotics, {I}",
day = "30",
month = jan,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Analysis Seminar, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:ELAc,
author = "Jonathan M. Borwein",
title = "Effective {Laguerre} Asymptotics, {II}",
day = "14",
month = feb,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Analysis Seminar, Dalhousie University,
Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:EMA,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics in Action",
day = "16--20",
month = jul,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Carleton College, Northfield, MN.",
URL = "http://docserver.carma.newcastle.edu.au/1733/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:EMV,
author = "Jonathan M. Borwein",
title = "Experimental Mathematics with Variational
Applications",
day = "11",
month = aug,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICCOPT 2007, McMaster University, Hamilton, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:FFS,
author = "Jonathan M. Borwein",
title = "Finding Funding in the Sciences",
day = "29",
month = mar,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interdisciplinary PhD Presentation, Dalhousie
University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IEMa,
author = "Jonathan M. Borwein",
title = "Introduction to Experimental Mathematics",
day = "19",
month = sep,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Honours Seminar, Dalhousie Mathematics Department.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IEMb,
author = "Jonathan M. Borwein",
title = "Introduction to Experimental Mathematics",
day = "26",
month = sep,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Okanagan Community College, Kelowna, BC,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IEMc,
author = "Jonathan M. Borwein",
title = "Introduction to Experimental Mathematics: Insight
through Computation",
day = "28",
month = sep,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interdisciplinary Colloquium, IRMACS, Simon Fraser
University, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IEMd,
author = "Jonathan M. Borwein",
title = "Introduction to Experimental Mathematics: Insight
through Computation",
day = "16",
month = nov,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Colloquium, Cornell University,
Ithaca, NY, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IRW,
author = "Jonathan M. Borwein",
title = "Interdisciplinary research: What works, what doesn't",
day = "12",
month = jun,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote address, 2007 Faculty Research Day, Dalhousie
Faculty of Management, Dalhousie University, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:IWW,
author = "Jonathan M. Borwein",
title = "Interdisciplinarity: what works, what doesn't",
day = "23",
month = oct,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:LPT,
author = "Jonathan M. Borwein",
title = "The Life of Pi --- a Talk for Pi Day",
day = "14",
month = mar,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, Dalhousie University, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:MWN,
author = "Jonathan M. Borwein",
title = "Math: What's New, What's Possible, What's Coming?",
day = "12",
month = dec,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Talks to Grade nine and ten students at AB Lucas
Secondary School, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:SCR,
author = "Jonathan M. Borwein",
title = "Some convexity results a {Jon} or a {Thompson} might
like",
day = "8",
month = jun,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "65th Birthday Colloquium lecture for Jon Thompson,
(Inter-Campus Seminar Day), University of New
Brunswick, Moncton, NB, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:SMFa,
author = "Jonathan M. Borwein",
title = "Some of my Favourite Convexity Results",
day = "27",
month = sep,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OCANA Seminar, Department of Mathematics, Statistics
and Physics, UBCO, Kelowna, BC.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:SMFb,
author = "Jonathan M. Borwein",
title = "Some of my Favourite Convexity Results",
day = "25",
month = oct,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Math Colloquium, University of Newcastle, Newcastle,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:SMFc,
author = "Jonathan M. Borwein",
title = "Some of my Favourite Convexity Results",
day = "19",
month = nov,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Nonlinear Optimization Day, CORS and Ddrive,
Dalhousie University, Halifax, NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:SS,
author = "Jonathan M. Borwein",
title = "Setting the Stage",
day = "26",
month = apr,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Opening presentation to Workshop on Math Knowledge
Management: Sustainability, Scalability, and
Interoperability, Dalhousie University, Halifax, NS,
Canada, April 26--28, 2007.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:TCR,
author = "Jonathan M. Borwein",
title = "Three Convexity Results",
day = "30",
month = mar,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Second Annual AARMS Analysis Days, in honour of Tony
Thompson, Dalhousie University, Halifax, NS, Canada,
March 30--31.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2007:WNW,
author = "Jonathan M. Borwein",
title = "What's New, What's Possible, What's Coming?",
day = "10",
month = feb,
year = "2007",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dalhousie Open House, Dalhousie FCS, Halifax, NS,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:CADa,
author = "Jonathan M. Borwein",
title = "Computer-assisted discovery and proof",
day = "30",
month = sep,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics and Statistics,
University of Melbourne, Melbourne, VIC, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/338/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:CADb,
author = "Jonathan M. Borwein",
title = "Computer-assisted discovery and proof: {Part I}",
day = "13",
month = nov,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Australian
National University, Canberra, ACT, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:CADc,
author = "Jonathan M. Borwein",
title = "Computer-assisted discovery and proof: {Part II}",
day = "14",
month = nov,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Australian
National University, Canberra, ACT, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:CCI,
author = "Jonathan M. Borwein",
title = "The computer as crucible: an introduction to
experimental mathematics",
day = "6",
month = mar,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Physics Colloquium, University of Newcastle,
Newcastle, NSW, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/1730/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:DAD,
author = "Jonathan M. Borwein",
title = "Digitally-assisted Discovery and Proof",
day = "11",
month = dec,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Invited lecture in Special Session on University
Mathematics Education, Teaching and Learning, 7th
NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New
Zealand, December 8--12.",
URL = "http://docserver.carma.newcastle.edu.au/390/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:ECB,
author = "Jonathan M. Borwein",
title = "Effective Computation of {Bessel} Functions",
day = "6",
month = jan,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "SIAM-AMS Special Session on Special Functions,
Combined Membership Meetings, San Diego, CA, USA, Jan
6--9, 2008.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:FCVa,
author = "Jonathan M. Borwein",
title = "Future Challenges for Variational Analysis",
day = "29",
month = nov,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture (presented by Andrew Eberhard),
Conference on Variational Analysis and Nonlinear
Optimization, National Sun-Yat-Sen University,
Kaohsiung, Taiwan, November 28--30.",
URL = "http://docserver.carma.newcastle.edu.au/396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:FCVb,
author = "Jonathan M. Borwein",
title = "Future Challenges for Variational Analysis",
day = "10",
month = dec,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture in Special Session on Nonlinear
Optimization and Applications, 7th NZ-AustMS Joint
Meeting, ANZMC2008, Christchurch, New Zealand, December
8--12.",
URL = "http://docserver.carma.newcastle.edu.au/396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:LPTa,
author = "Jonathan M. Borwein",
title = "Life of Pi: a Talk for Pi Day",
day = "14",
month = mar,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMSI Access Grid Colloquium, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:LPTb,
author = "Jonathan M. Borwein",
title = "Life of Pi: a Talk for Pi Day",
day = "15",
month = mar,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IRMACS Access Grid Colloquium, Simon Fraser
University, Burnaby, BC, Canada, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:MEMa,
author = "Jonathan M. Borwein",
title = "My experiences with mathematical software",
day = "20",
month = aug,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Seminar, Department of Mathematics, University of
Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:MEMb,
author = "Jonathan M. Borwein",
title = "Maximum Entropy Methods for Inverse Problems",
day = "29",
month = sep,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematical Sciences, RMIT,
Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:MWNa,
author = "Jonathan M. Borwein",
title = "Math: What's New, What's Possible, What's Coming?",
day = "13",
month = aug,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICE-EM\slash ICE day from Victoria University,
Melbourne VIC 3000, Australia, presented from
Wollongong Access Grid Room.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:MWNb,
author = "Jonathan M. Borwein",
title = "Math: What's New, What's Possible, What's Coming?",
day = "1",
month = oct,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematical Sciences, RMIT,
Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:PBR,
author = "Jonathan M. Borwein",
title = "{Peter Borwein} Revisited: A Brother's Retrospective",
day = "14",
month = may,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IRMACS Conference celebrating Peter Borwein's 55th
Birthday, Simon Fraser University, Burnaby, BY, Canada,
May 12--16, 2008.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:PCS,
author = "Jonathan M. Borwein",
title = "Proximality and {Chebyshev} sets",
day = "3",
month = jul,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, University of Newcastle, Newcastle,
NSW, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/323/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:PYM,
author = "Jonathan M. Borwein",
title = "The past 60 years in Mathematics",
day = "4",
month = dec,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, University of
Auckland, Auckland, New Zealand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:SMF,
author = "Jonathan M. Borwein",
title = "Some of my Favourite Convex Functions",
day = "9",
month = dec,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "NZIMA Plenary Lecture, 7th NZ-AustMS Joint Meeting,
ANZMC2008, Christchurch, New Zealand, December 8--12.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2008:U,
author = "Jonathan M. Borwein",
title = "[untitled]",
day = "21",
month = apr,
year = "2008",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CEIC Presentation to IMU Executive, Hungarian Academy
of Science, Budapest, Hungary.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:CCE,
author = "Jonathan M. Borwein",
title = "The Computer as Crucible: The End of Theory?",
day = "9",
month = nov,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Second Annual Rubinov Memorial Lecture, University of
Ballarat, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:CSS,
author = "Jonathan M. Borwein",
title = "Compressed Sensing: A Subgradient Descent Algorithm
for Missing Data Problems",
day = "19",
month = nov,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:DAMa,
author = "Jonathan M. Borwein",
title = "Digitally-assisted mathematical discovery and proof",
day = "7",
month = may,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium, University of Newcastle, Newcastle,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:DAMb,
author = "Jonathan M. Borwein",
title = "Digitally-assisted mathematical discovery and proof",
day = "11",
month = may,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary address, ICMI Study 19.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:DAMc,
author = "Jonathan M. Borwein",
title = "Digitally-assisted mathematical discovery and proof",
day = "14",
month = may,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Responses to Plenary address, ICMI Study 19.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:EECa,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation and Computation",
day = "15",
month = sep,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Dept, University of Victoria,
BC, Canada.",
URL = "http://docserver.carma.newcastle.edu.au/1396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:EECb,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation and Computation",
day = "23",
month = sep,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture Fields--IRMACS Workshop on Discovery
and Experiment in Number Theory, Simon Fraser
University, Burnaby, BC, Canada and Toronto, ON,
Canada, September 22--26.",
URL = "http://docserver.carma.newcastle.edu.au/1396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:FVA,
author = "Jonathan M. Borwein",
title = "The future of variational analysis",
day = "6",
month = dec,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Lecture, Special session on Convex and
nonlinear analysis, CMS Winter Meeting, Windsor, ON,
Canada, Dec. 5--7.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:FYMa,
author = "Jonathan M. Borwein",
title = "Fifty Years of Maximal Monotonicity",
day = "29",
month = sep,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture for Optimization Theory and Methods
Special Session, 53rd Annual Australian Mathematical
Society Meetings, University of South Australia,
Adelaide SA 5001, Australia, Sept 28-Oct 1.",
URL = "http://docserver.carma.newcastle.edu.au/1221/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:FYMb,
author = "Jonathan M. Borwein",
title = "Fifty Years of Maximal Monotonicity",
day = "31",
month = oct,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Session on Functional Analysis, University of
Newcastle, Official Opening and Workshop Oct 30-Nov 1",
URL = "http://docserver.carma.newcastle.edu.au/1221/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:HIW,
author = "Jonathan M. Borwein",
title = "{Hilbert} Inequalities and {Witten} Zeta Functions",
day = "20",
month = aug,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMSI-SIGopt Seminar. Delivered to RMIT and USA from
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:HMS,
author = "Jonathan M. Borwein",
title = "How to maximize surprise",
day = "25",
month = jun,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMSI-SIGopt Seminar. Delivered to RMIT and USA from
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:HPH,
author = "Jonathan M. Borwein and D. H. Bailey",
title = "High Precision, High Dimension Integration",
day = "20",
month = feb,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third International Workshop on High Dimensional
Approximation, University of New South Wales, Sydney,
Australia, February 16--20. Awarded most-entertaining
presentation prize.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:IC,
author = "Jonathan M. Borwein",
title = "Introduction to {CARMA}",
day = "11",
month = aug,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to students from Dungog High School in
CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:ICM,
author = "Jonathan M. Borwein",
title = "Innovation and Creativity or Managing a Research
Portfolio?",
day = "11",
month = nov,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Address, Annual Research Day, University of
Ballarat, Ballarat, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:IMC,
author = "Jonathan M. Borwein",
title = "International Mathematics in the 21st Century",
day = "15",
month = jun,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Minisymposium in honour of Phil Broadbridge's
retirement as Director of AMSI, University of
Melbourne, Melbourne, VIC, Australia, June 15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:IRA,
author = "Jonathan M. Borwein",
title = "Integer Relation Algorithms, {I}",
day = "29",
month = nov,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Number Theory Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:IRM,
author = "Jonathan M. Borwein",
title = "Integer Relation Methods: an Introduction",
day = "9",
month = jul,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Scientific Computation, First
Pacific Rim Conference on Mathematics and Applications
(PRIMA), University of New South Wales, Sydney, NSW,
Australia, July 6--10, 2009.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:ISC,
author = "Jonathan M. Borwein",
title = "Inverse Symbolic Computation: Symbols from Numbers",
day = "29",
month = sep,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Education Afternoon, 53rd Annual Australian
Mathematical Society Meetings, University of South
Australia, Adelaide SA 5001, Australia, Sept 28-Oct
1.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:MEP,
author = "Jonathan M. Borwein",
title = "Maximum Entropy and Projection Methods for Inverse
Problems",
day = "12",
month = feb,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium, University of Newcastle, Newcastle,
NSW, Australia",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:PRCa,
author = "Jonathan M. Borwein",
title = "Prospects for Remote Collaboration",
day = "25",
month = apr,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IRMACS Retreat on Remote Collaboration, April 24--25,
Simon Fraser University, Burnaby, BC, Canada. Delivered
from Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:PRCb,
author = "Jonathan M. Borwein",
title = "Prospects for Remote Collaboration",
day = "30",
month = apr,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First AMSI-SIGopt Seminar. Delivered to RMIT and USA
from Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:SDC,
author = "Jonathan M. Borwein",
title = "The {SIAM 100 Digits Challenge}: a Story of Modern
Numerical Analysis",
day = "28",
month = may,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium, University of Newcastle, Newcastle,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:TLVa,
author = "Jonathan M. Borwein",
title = "Ten Lectures on Variational Approaches to Minimization
Problems: Motivation and Overview",
day = "29",
month = jun,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA 2009 Summer Program for Graduate Students on The
Mathematics of Inverse Problems, University of
Delaware, Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:TLVb,
author = "Jonathan M. Borwein",
title = "Ten Lectures on Variational Approaches to Minimization
Problems: Convex Duality and Applications",
day = "30",
month = jun,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA 2009 Summer Program for Graduate Students on The
Mathematics of Inverse Problems, University of
Delaware, Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:TLVc,
author = "Jonathan M. Borwein",
title = "Ten Lectures on Variational Approaches to Minimization
Problems: Variational Principles and Applications",
day = "1",
month = jul,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA 2009 Summer Program for Graduate Students on The
Mathematics of Inverse Problems, University of
Delaware, Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:TLVd,
author = "Jonathan M. Borwein",
title = "Ten Lectures on Variational Approaches to Minimization
Problems: Monotone and Nonexpansive Maps: algorithms
and convergence",
day = "2",
month = jul,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA 2009 Summer Program for Graduate Students on The
Mathematics of Inverse Problems, University of
Delaware, Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:TLVe,
author = "Jonathan M. Borwein",
title = "Ten Lectures on Variational Approaches to Minimization
Problems: Algebraic Reconstruction Methods and
Interactive Geometry (and a final lecture on
Surprise)",
day = "3",
month = jul,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "IMA 2009 Summer Program for Graduate Students on The
Mathematics of Inverse Problems, University of
Delaware, Newark, DE, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2009:WC,
author = "Jonathan M. Borwein",
title = "Why Convex?",
day = "5",
month = dec,
year = "2009",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, CMS Winter Meeting, Windsor, ON,
Canada, December 5--7.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:APAa,
author = "Jonathan M. Borwein",
title = "Alternating Projection Algorithms in {Hilbert} Space,
{I}",
day = "20",
month = apr,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Analysis and Optimization Seminar, University of
Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:APAb,
author = "Jonathan M. Borwein",
title = "Alternating Projection Algorithms in {Hilbert} Space,
{II}",
day = "27",
month = apr,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Analysis and Optimization Seminar, University of
Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:ASR,
author = "Jonathan M. Borwein",
title = "The arithmetic of 3 and 4 step random walks",
day = "9",
month = jul,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Lecture, AMSI-CARMA Workshop on Exploratory
Experimentation and Computation Theory, CARMA, July
7--9.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:CFWa,
author = "Jonathan M. Borwein",
title = "Closed forms: what they are and why they matter",
day = "15",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part I, CARMA Number Theory seminar.",
URL = "http://docserver.carma.newcastle.edu.au/767/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:CFWb,
author = "Jonathan M. Borwein",
title = "Closed forms: what they are and why they matter",
day = "22",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part II, CARMA Number Theory seminar.",
URL = "http://docserver.carma.newcastle.edu.au/767/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:CSS,
author = "Jonathan M. Borwein",
title = "Compressed Sensing: a Subgradient Approach",
day = "28",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Optimization, 54th Australian Math
Society Meetings, September 27--30, 2010.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@TechReport{Borwein:2010:DRA,
author = "Jonathan M. Borwein and Brailey Sims",
title = "{Douglas--Rachford} algorithm in the absence of
convexity",
institution = inst-CARMA,
address = inst-CARMA:adr,
pages = "20",
day = "22",
month = may,
year = "2010",
bibdate = "Tue Jan 03 08:33:04 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.carma.newcastle.edu.au/jon/dr.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:DRIa,
author = "Jonathan M. Borwein and Brailey Sims",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "28",
month = jan,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium.",
URL = "https://www.carma.newcastle.edu.au/jon/dr-talk.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:DRIb,
author = "Jonathan M. Borwein and Brailey Sims",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "1",
month = feb,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ANZIAM-SigmaOpt Session, Queenstown, New Zealand,
February 1--4.",
URL = "https://www.carma.newcastle.edu.au/jon/dr-talk.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:DRIc,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "22",
month = jun,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Clemson Research Experience for Undergraduates,
presented from Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:DRId,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "3",
month = oct,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Lecture, AMSI-CARMA Workshop on Applied
Functional Analysis, CARMA, October 2--4.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:EECa,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation and Computation",
day = "8",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary Lecture, 2010 German Math Society
Meetings (joint with Mathematical Education), Munich,
Germany, March 8--12.",
URL = "http://docserver.carma.newcastle.edu.au/1396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:EECb,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation and Computation",
day = "16",
month = apr,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Department Colloquium, University of
Adelaide, Adelaide, SA, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/1396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:EPM,
author = "Jonathan M. Borwein",
title = "Entropy and Projection Methods for Convex and
Nonconvex Inverse Problems",
day = "29",
month = mar,
year = "2010",
bibdate = "Tue Aug 23 09:17:49 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Prepared for Univ of South Australia Distinguished
Lecture (54 slides).",
URL = "http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.175.5066&rep=rep1&type=pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:FPC,
author = "Jonathan M. Borwein",
title = "Fractal postcards and coke cans",
day = "24",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to West Wallsend High School students in
CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:GV,
author = "Jonathan M. Borwein",
title = "32 {Goldbach} Variations",
day = "19",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium and Number Theory and Analysis
Seminar, University of Newcastle, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:HPC,
author = "Jonathan M. Borwein",
title = "High precision computation in mathematical physics and
dynamics",
day = "2",
month = jun,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMSI-SIGopt Seminar. Delivered to Australian National
University, UWA, RMIT and USA from Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:IC,
author = "Jonathan M. Borwein",
title = "An introduction to {CARMA}",
day = "28",
month = jun,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "University of Newcastle 2010 Teachers' Visit Day,
presented inside CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:ICF,
author = "Jonathan M. Borwein and Michael Rose",
title = "Introduction to {CARMA} and fractals",
day = "19",
month = oct,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "BOOST + on campus high school visit to University of
Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:IRA,
author = "Jonathan M. Borwein",
title = "Integer Relation Algorithms, {II}",
day = "20",
month = jan,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Number Theory Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:LP,
author = "Jonathan M. Borwein",
title = "Life of Pi",
day = "28",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Public Lecture, 54th Australian Math Society Meetings,
September 27--30, 2010.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:LPT,
author = "Jonathan M. Borwein",
title = "Life of Pi: a Talk for Pi Day",
day = "15",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Newcastle Undergraduate Mathematics Club, Newcastle,
NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:MEPb,
author = "Jonathan M. Borwein",
title = "Maximum Entropy and Projection Methods for Inverse
Problems",
day = "29",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Distinguished Lecture Series, Mathematics Dept,
University of South Australia, Adelaide SA 5001,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:MEPc,
author = "Jonathan M. Borwein",
title = "Maximum Entropy and Projection Methods for Inverse
Problems",
day = "31",
month = aug,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, Second South Pacific Conference on
Mathematics, University of New Caledonia, Noum{\'e}a
98851, New Caledonia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:MRGa,
author = "Jonathan M. Borwein",
title = "Moments of {Ramanujan}'s Generalized Elliptic
Integrals and Extensions of {Catalan}'s Constant",
day = "12",
month = aug,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium, University of Newcastle, NSW,
Australia.",
URL = "http://docserver.carma.newcastle.edu.au/1443/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:MZV,
author = "Jonathan M. Borwein",
title = "Multiple Zeta Values",
day = "31",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Number Theory and Analysis Seminar, University
of Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:RACa,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AG} continued fraction, {I}: the real
case",
day = "4",
month = nov,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:RACb,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AG} continued fraction, {II}: the
complex case",
day = "4",
month = nov,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Number Theory Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:RWR,
author = "Jonathan M. Borwein",
title = "Random Walks and Ramble Integrals",
day = "16",
month = apr,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analysis Seminar, University of Adelaide, Adelaide,
SA, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:SWR,
author = "Jonathan M. Borwein",
title = "Short Walks and Ramble Integrals: The Arithmetic of
Uniform Random Walks",
day = "30",
month = sep,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, 54th Australian Math Society
Meetings, September 27--30, 2010.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:TTG,
author = "Jonathan M. Borwein",
title = "Thirty Two {Goldbach} Variations",
day = "20",
month = oct,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Workshop on Multi-zeta Values, University of
Newcastle, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:U,
author = "Jonathan M. Borwein",
title = "[untitled]",
day = "30",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "General interview on Newcastle Drive, ABC Radio
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2010:WC,
author = "Jonathan M. Borwein",
title = "Why Convex?",
day = "10",
month = mar,
year = "2010",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Universit{\"a}t der Bundeswehr
M{\"u}nchen, Germany.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:ATR,
author = "Jonathan M. Borwein",
title = "Actually: Teaching and Researching at the Tertiary
Level with Collaboration Tools",
day = "3",
month = nov,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:BND,
author = "Jonathan M. Borwein",
title = "{BBP} numbers and digit-extraction algorithms",
day = "23",
month = may,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CM,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me",
day = "4",
month = may,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "New Fellows Seminar, Australian Academy of Science,
Shine Dome, Canberra, ACT, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CMIa,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me: An Introduction",
day = "26",
month = apr,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CDSC-CARMA-CISRA (Canon Information Systems Research
Australia) afternoon, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CMIb,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me: An Introduction",
day = "19",
month = jul,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First CARMA Retreat, Shortland Wetland.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CMWa,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me: or Why am I in {Oz}?",
day = "17",
month = may,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "JonFest 2011, IRMACS, Simon Fraser University,
Burnaby, BC, Canada, 16--20 May.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CMWb,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me: or Why am I in {Oz}?",
day = "30",
month = jun,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Two presentations to 2011 Teachers' Visit Day,
University of Newcastle, NSW, Australia. July 8.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:CSS,
author = "Jonathan M. Borwein",
title = "Compressed Sensing: a Subgradient Approach",
day = "1",
month = feb,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special Session on Optimization, ANZIAM 2011.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:DCF,
author = "Jonathan M. Borwein",
title = "Difference Convex Functions",
day = "29",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Continuous Optimization, University of
South Australia, Adelaide SA 5001, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:DRIa,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "9",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Special Session on Douglas--Rachford Methods,
Combined Membership Meetings, New Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:DRIb,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} iterations in the absence of
convexity",
day = "15",
month = oct,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture (given from Newcastle), 13th Midwest
Optimization Meeting and Workshop on Large Scale
Optimization and Applications, Fields Institute,
Toronto, ON M5T 3J1, Canada, October 14--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:EEC,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation and Computation",
day = "7",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Special Session in Logic and Analysis, Combined
Membership Meetings, New Orleans, LA, USA.",
URL = "http://docserver.carma.newcastle.edu.au/1396/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:FG,
author = "Jonathan M. Borwein",
title = "Fractal Geometry",
day = "16",
month = feb,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to Year 7 students form Wallsend with
Michael Rose to the NSW MEGS program (Making
Educational Goals Sustainable).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:LP,
author = "Jonathan M. Borwein",
title = "Life of Pi",
day = "12",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Graduate Colloquium, Mathematics Dept, University of
Florida, Gainesville, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:LPHa,
author = "Jonathan M. Borwein",
title = "Life of Pi: History and Computation --- a Talk for Pi
Day",
day = "14",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "University of Technology Sydney, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:LPHb,
author = "Jonathan M. Borwein",
title = "Life of Pi: History and Computation --- a Talk for Pi
Day",
day = "14",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interviews with ABC Sydney, Goldcoast and
Tasmania\slash Victoria, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:LPHc,
author = "Jonathan M. Borwein",
title = "Life of Pi: History and Computation --- a Talk for Pi
Day",
day = "15",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMSI AGR Talk for PiDay in America.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:MCA,
author = "Jonathan M. Borwein",
title = "Meetings with Computer Algebra and Special Functions:
A {Ramanujan} Style Talk",
day = "29",
month = nov,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture at JonFest Down Under, CARMA--AMSI
Workshop, Nov 29--Dec 1, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:MMU,
author = "Jonathan M. Borwein",
title = "Mysteries of the Mathematical Universe",
day = "4",
month = jun,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "World Science Festival Panel, New York. Panel shared
with Devlin, de Sautoy, Singh.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:MRGb,
author = "Jonathan M. Borwein",
title = "Moments of {Ramanujan}'s Generalized Elliptic
Integrals and Extensions of {Catalan}'s Constant",
day = "11",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Seminar, Mathematics Dept, University of
Florida.",
URL = "http://docserver.carma.newcastle.edu.au/1443/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:MWIa,
author = "Jonathan M. Borwein",
title = "Measures, Walks and Integrals: a Study in Hybrid
Computation",
day = "7",
month = jun,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary Lecture, Numeric-Symbolic Computation
(2011 FCCAR Meetings), San Jose, CA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:MWIb,
author = "Jonathan M. Borwein",
title = "Measures, Walks and Integrals: a Study in Hybrid
Computation",
day = "27",
month = sep,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote Lecture, AustMS Special Session on
Computational Mathematics (presented by James Wang)
2011 AustMS Meetings, Wollongong, NSW, Australia, Sept
26--29.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:PDNb,
author = "Jonathan M. Borwein",
title = "Are Pi's days numbered?",
day = "18",
month = jul,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with ABC Goldcoast, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:RAC,
author = "Jonathan M. Borwein",
title = "{Ramanujan}'s {AG} continued fraction",
day = "11",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Mathematics Dept, University of Florida,
Gainesville, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:SS,
author = "Jonathan M. Borwein",
title = "A Sinc that Sank",
day = "6",
month = sep,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Analysis Seminar, Newcastle, NSW, Australia.",
URL = "http://docserver.carma.newcastle.edu.au/1391/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:SWMa,
author = "Jonathan M. Borwein",
title = "Short Walks, {Mahler} Measures and Logsine Integrals,
{I}",
day = "16",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:SWMb,
author = "Jonathan M. Borwein",
title = "Short Walks, {Mahler} Measures and Logsine Integrals,
{II}",
day = "23",
month = mar,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:SWR,
author = "Jonathan M. Borwein",
title = "Short Walks and Ramble Integrals: The Arithmetic of
Uniform Random Walks",
day = "9",
month = jan,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "AMS Special Session on Special Functions, Combined
Membership Meetings, New Orleans, LA, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2011:TRT,
author = "Jonathan M. Borwein",
title = "Teaching and Researching at the Tertiary Level with
Collaboration Tools",
day = "29",
month = sep,
year = "2011",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, ALTC Workshop, 2011 AustMS Meetings,
Wollongong, NSW, Australia, Sept 29--30.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:AAS,
author = "Jonathan M. Borwein",
title = "Arithmetic aspects of short random walks",
day = "14",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Experimental mathematics seminar, University of
Melbourne, Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:CMa,
author = "Jonathan M. Borwein",
title = "{CARMA} and me: 2012",
day = "18",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Annual CARMA Retreat, Fort Scratchley Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:CMb,
author = "Jonathan M. Borwein",
title = "{CARMA} and me: 2012",
day = "23",
month = oct,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "APEC-ITB Workshop, Bandung Indonesia, given from
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:CTMa,
author = "Jonathan M. Borwein",
title = "Computation and Theory of {Mordell--Witten--Tornheim}
sums. {Part I} Theory",
day = "1",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Analysis seminar, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:CTMb,
author = "Jonathan M. Borwein",
title = "Computation and Theory of {Mordell--Witten--Tornheim}
sums. {Part II} Computation",
day = "8",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Analysis seminar, Newcastle, NSW, Australia. 9.
May 14.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:EEM,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation in Mathematics",
day = "10",
month = dec,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ICERM Workshop on Reproducibility in Computational and
Experimental Mathematics, ICERM, Providence, RI, USA,
December 10--14.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:EFSa,
author = "Jonathan M. Borwein",
title = "Expectations over fractal sets",
day = "2",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Seminar, University of New South
Wales, Sydney, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:EFSb,
author = "Jonathan M. Borwein",
title = "Expectations over fractal sets",
day = "12",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "SigmaOPT Colloquium, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:FE,
author = "Jonathan M. Borwein",
title = "Fractals everywhere",
day = "7",
month = sep,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation to West Wallsend High School students in
CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:FM,
author = "Jonathan M. Borwein",
title = "The Future of Maths",
day = "11",
month = nov,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with ABC Radio National Future tense (Sunday
11.30).",
URL = "http://www.abc.net.au/radionational/programs/futuretense/the-future-of-maths/4355778.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:FYMa,
author = "Jonathan M. Borwein",
title = "Fifty years of maximal monotonicity: recent results on
maximal monotone operators",
day = "24",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference Presentation to the Workshop on Infinite
Products of Operators and Their Applications, Technion,
Haifa, May 21--24.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:FYMb,
author = "Jonathan M. Borwein",
title = "Fifty years of maximal monotonicity: recent results on
maximal monotone operators",
day = "24",
month = sep,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote presentation to special session on Variational
Analysis 56th AustMS Meetings, Ballarat, VIC,
Australia, Sept 23--27.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:IIC,
author = "Jonathan M. Borwein",
title = "Interdisciplinarity, Innovation, Collaboration and
Creativity or How to Manage a Research Portfolio",
day = "13",
month = sep,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:MEP,
author = "Jonathan M. Borwein",
title = "Maximum Entropy and Projection Methods for Inverse
Problems",
day = "21",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Technion Mathematics Colloquium and Conference
Presentation to the Workshop on Infinite Products of
Operators and Their Applications, Technion, Haifa, May
21--24.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:MES,
author = "Jonathan M. Borwein",
title = "My experiences with special functions",
day = "15",
month = may,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, University of Melbourne, Melbourne, VIC,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:MM,
author = "Jonathan M. Borwein",
title = "Music and Mathematics",
day = "25",
month = oct,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Concert including a visualisation and sonification of
a random walk through Pi with Jon Drummond and Fran
Aragon. Harold Lobb Concert Hall, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:MTW,
author = "Jonathan M. Borwein",
title = "{Mordell--Tornheim--Witten} Sums and Log Gamma
Integrals",
day = "25",
month = sep,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Number Theory 56th AustMS Meetings,
Ballarat, VIC, Australia, Sept 23--27.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:PDAb,
author = "Jonathan M. Borwein",
title = "Pi Day in {America}",
day = "15",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference in Honour of Alf van der Poorten, CARMA,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:PDI,
author = "Jonathan M. Borwein",
title = "Pi Day Interview",
day = "14",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ABC Radio Queensland, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:RPMb,
author = "Jonathan M. Borwein",
title = "Recent Progress on Maximal Monotonicity",
day = "31",
month = jan,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ANZIAM 2012, Warrnambool, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:SM,
author = "Jonathan M. Borwein",
title = "Smart Meters",
day = "8",
month = nov,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with ABC Radio Canberra, ACT, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:STMb,
author = "Jonathan M. Borwein",
title = "Seeing things in Mathematics",
day = "25",
month = nov,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Workshop on Effective Visualisation in the
Mathematical Sciences (eViMS).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:TMP,
author = "Jonathan M. Borwein",
title = "Talking to, with and for the media and the public",
day = "17",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA-MAPS Outreach afternoon.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:U,
author = "Jonathan M. Borwein",
title = "[untitled]",
day = "11",
month = aug,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with Ginger Gorman at 666 ABC Canberra, ACT,
Australia on Pi Walk.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:USTa,
author = "Jonathan M. Borwein",
title = "The Use of Selection Theorems in Optimization. {Part
I} Theory",
day = "22",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA\slash SigmaOPT seminar, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:USTb,
author = "Jonathan M. Borwein",
title = "The Use of Selection Theorems in Optimization. {Part
II} Applications",
day = "29",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA\slash SigmaOPT seminar, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2012:WMI,
author = "Jonathan M. Borwein",
title = "Walks, Measures and Integrals",
day = "16",
month = mar,
year = "2012",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Conference in Honour of Alf van der Poorten, CARMA,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:BABa,
author = "Jonathan M. Borwein",
title = "Best approximation in {Banach} Space: the {Chebyshev}
Problem",
day = "26",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Naresuan University, Workshop on Nonsmooth Variational
Inequalities, Optimization Problems and Fixed Point
Theory, April 24--26, Naresuan University, Phitsanulok,
Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:BABb,
author = "Jonathan M. Borwein",
title = "Best approximation in {Banach} Space: the {Chebyshev}
Problem",
day = "29",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Chiang Mai
University, Chiang Mai, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:BARa,
author = "Jonathan M. Borwein",
title = "Best Approximation in (reflexive) {Banach} space, {I}:
Introduction",
day = "25",
month = mar,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OANTS-AMSI seminar, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:BARb,
author = "Jonathan M. Borwein",
title = "Best Approximation in (reflexive) {Banach} space,
{II}: The {Lau--Konjagin Theorem}",
day = "8",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OANTS-AMSI seminar, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:BARc,
author = "Jonathan M. Borwein",
title = "Best Approximation in (reflexive) {Banach} space,
{III}: The {Chebysev} Problem",
day = "15",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OANTS-AMSI seminar, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:DRM,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} methods for matrix completion
problems",
day = "23",
month = oct,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA\slash OCANA Seminar, University of Newcastle,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:EEMa,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation in the Mathematical
Sciences",
day = "29",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Economics, Chiang Mai
University, Chiang Mai, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:EEMb,
author = "Jonathan M. Borwein",
title = "Exploratory Experimentation in the Mathematical
Sciences",
day = "5",
month = jun,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "National Mathematics Seminar, Bulgarian Academy of
Science.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:EMC,
author = "Jonathan M. Borwein",
title = "Entropy Methods and Checkerboard Copulas to Simulate
Rainfall",
day = "30",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Department of Economics, Chiang Mai University, Chiang
Mai, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:EMI,
author = "Jonathan M. Borwein",
title = "Entropy Methods for Inverse Problems",
day = "30",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Economics, Chiang Mai
University, Chiang Mai, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:LP,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "20",
month = sep,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maths Enrichment Session, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:MEP,
author = "Jonathan M. Borwein",
title = "Maximum Entropy and Projection Methods for Convex and
Non-convex Inverse Problems",
day = "16",
month = dec,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Keynote Lecture, MaxEnt33, Canberra, ACT,
Australia (Dec 15--20).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:MSS,
author = "Jonathan M. Borwein",
title = "Modelling and simulation of seasonal rainfall",
day = "17",
month = jul,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Recent Advances in OR, RMIT AGR--University of
Newcastle AGR--Adelaide, July 17.",
URL = "http://docserver.carma.newcastle.edu.au/1453/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:NDR,
author = "Jonathan M. Borwein",
title = "Nonconvex {Douglas--Rachford} iterations",
day = "26",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Nonsmooth Variational Inequalities,
Optimization Problems and Fixed Point Theory, April
24--26, Naresuan University, Phitsanulok, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:PD,
author = "Jonathan M. Borwein",
title = "Pi Day",
day = "14",
month = mar,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with ABC radio South Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:PPE,
author = "Jonathan M. Borwein",
title = "The Pi of Planet Earth",
day = "14",
month = mar,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, AMSI AGR Distinguished Lecture Series
from CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:SDR,
author = "Jonathan M. Borwein",
title = "Set the default to `reproducible'",
day = "9",
month = jul,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Session on reproducible computational science, MPE
2013, Melbourne, VIC, Australia, July 8--12.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:SLV,
author = "Jonathan M. Borwein",
title = "Seven lectures on variational analysis",
day = "25--30",
month = nov,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CIMPA--Unesco--India Research School on Generalized
Nash Equilibrium Problems, Delhi University, New Delhi,
India (Nov 25th-Dec 6).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:SM,
author = "Jonathan M. Borwein",
title = "Surprise Maximization",
day = "30",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Department of Economics, Chiang Mai University, Chiang
Mai, Thailand.",
URL = "http://docserver.carma.newcastle.edu.au/209/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWa,
author = "Jonathan M. Borwein",
title = "Seeing Things by Walking on Real Numbers",
day = "17",
month = jan,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fellows' Lecture, 2013 National Mathematics Summer
School, Shine Dome, Canberra, ACT, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWb,
author = "Jonathan M. Borwein",
title = "Seeing Things by Walking on Real Numbers",
day = "11",
month = feb,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Lecture, Third South Pacific Optimization
Meeting, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWc,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "26",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop on Nonsmooth Variational Inequalities,
Optimization Problems and Fixed Point Theory, April
24--26, Naresuan University, Phitsanulok, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWd,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "30",
month = apr,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Department of Mathematics, Chiang Mai
University, Chiang Mai, Thailand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWe,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "10",
month = jun,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First keynote, workshop on Topological Methods in
Analysis and Optimization, Bulgarian Academy of
Science, June 10--13.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWf,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "2",
month = jul,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "National Youth Science Forum students visit to
University of Newcastle, NSW, Australia, July 1--2,
CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWg,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "14",
month = aug,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maths Enrichment Session, CARMA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWh,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "30",
month = sep,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Session, 57th AustMS Meeting, University
of Sydney, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:STWi,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on numbers",
day = "12",
month = nov,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Google's CS4HS programme, University of Newcastle,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:VAPa,
author = "Jonathan M. Borwein",
title = "Variational analysis in the presence of symmetry.
{Part I}",
day = "30",
month = jul,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OAANTS AGR Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:VAPb,
author = "Jonathan M. Borwein",
title = "Variational analysis in the presence of symmetry.
{Part II}",
day = "6",
month = aug,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "OAANTS AGR Seminar.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2013:VAPc,
author = "Jonathan M. Borwein",
title = "Variational analysis in the presence of symmetry",
day = "1",
month = oct,
year = "2013",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Optimization of Planet Earth Session, 57th AustMS
Meeting, University of Sydney, Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:CM,
author = "Jonathan M. Borwein",
title = "{CARMA} and Me",
day = "28",
month = may,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Opening of CRM, University of Western Sydney, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:CPT,
author = "Jonathan M. Borwein",
title = "Character Polylogarithms and their applications",
day = "24",
month = oct,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First lecture, Number Theory Down Under II, Newcastle,
October 24--25, 2014.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:DRMa,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} methods for matrix completion
problems",
day = "6",
month = feb,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ANZIAM 2014, Rotorua, New Zealand.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:DRMb,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} methods for matrix completion
problems",
day = "16",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ANZIAM 2014, Federation University meeting in honour
of Vladimir Demyanov (given from Burnaby).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVb,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "21",
month = may,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part I, CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVc,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "29",
month = may,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part II, CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVd,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "14",
month = jun,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Part III, CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVe,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "21",
month = jul,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "First Plenary, ICERM Workshop on Challenges for 21st
Century Experimental Mathematics, Brown University,
Providence, RI, USA, July 21--25, 2014.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVf,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "9",
month = aug,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Final Keynote, Fourth International Congress on
Mathematical Software (and ICM Satellite Meeting),
Hanyang University, Seoul, Souh Korea August 5--8,
2014.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:ECVg,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator",
day = "22",
month = nov,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture Effective Visualisation in the
Mathematical Sciences (EViMS2), Australian National
University, November 21--23.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:FFC,
author = "Jonathan M. Borwein",
title = "The {Fitzpatrick} function as a convex gap function",
day = "8",
month = dec,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session on Optimization, ANZMC8, Melbourne,
VIC, Australia, December 8--12, 2014.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:LPb,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "22",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "A Talk for Pi Day or other Days. {Part I}, History.
Inaugural M{\"o}bius Lecture Series, Department of
Mathematics, Baylor University, Waco, TX, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:LPc,
author = "Jonathan M. Borwein",
title = "The Life of Pi",
day = "23",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "A Talk for Pi Day or other Days. {Part II},
Computation. Colloquium, Inaugural M{\"o}bius Lecture
Series, Department of Mathematics, Baylor University,
Waco, Texas.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:MDS,
author = "Jonathan M. Borwein",
title = "Moments and densities of short walks in arbitrary
dimensions",
day = "25",
month = nov,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture New Directions in Fractal Geometry,
Australian National University, November 23--27.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:PD,
author = "Jonathan M. Borwein",
title = "Pi Day",
day = "14",
month = mar,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview and call-in show with ABC radio South
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:RPSa,
author = "Jonathan M. Borwein",
title = "Rock, Paper, Scissors",
day = "8",
month = may,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview on ABC Radio Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:RPSb,
author = "Jonathan M. Borwein",
title = "Rock, Paper, Scissors",
day = "12",
month = may,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview on ABC Radio Riverena.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:STMb,
author = "Jonathan M. Borwein",
title = "Seeing things in mathematics by walking on real
numbers",
day = "16",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Workshop in honour of David Borwein's 90th birthday,
IRMACS, Burnaby, BC, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:STMc,
author = "Jonathan M. Borwein",
title = "Seeing things in mathematics by walking on real
numbers",
day = "24",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Inaugural M{\"o}bius Lecture Series, Colloquium,
Department of Mathematics, Baylor University, Waco,
Texas.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:VCP,
author = "Jonathan M. Borwein",
title = "A very complicated proof of the minimax theorem",
day = "12",
month = jul,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Workshop on Optimisation and Risk, July 12,
2012.",
URL = "http://docserver.carma.newcastle.edu.au/1499/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2014:VPP,
author = "Jonathan M. Borwein",
title = "The visualization of Pi",
day = "10",
month = apr,
year = "2014",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Presentation at Destination Maitland: City of the
Future. Conservatorium Campus, Maitland, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:AOF,
author = "Jonathan M. Borwein",
title = "Adventures with the {OEIS}: Five sequences {Tony} may
like",
day = "7",
month = dec,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Tony Guttmann: Seventy and counting, December 7--8,
Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:BMY,
author = "Jonathan M. Borwein",
title = "Brailey and me (and you)",
day = "22",
month = aug,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dinner speech, CARMA Workshop in honour of Brailey
Sims, August 21--23, Newcastle, NSW, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:CAGb,
author = "Jonathan M. Borwein",
title = "Convex analysis on groups and monoids",
day = "29",
month = sep,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary Variational Analysis and Optimisation Special
Session, AustMS 59, Flinders University, Bedford Park
SA 5042, Australia, 28 Sept--Oct 1, 2015.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:DRM,
author = "Jonathan M. Borwein",
title = "{Douglas--Rachford} methods for matrix completion
problems",
day = "16",
month = apr,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Federation University Workshop on Continuous
Optimization in honour of Alex Rubinov (given from
Newcastle).",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:ECV,
author = "Jonathan M. Borwein",
title = "Exploratory Computation and Visual Theorems: The
Computer as Collaborator. {Parts I} and {II}",
day = "8",
month = jan,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Opening general lectures, AMSI Summer School
Newcastle, January 5--26.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:FFC,
author = "Jonathan M. Borwein",
title = "The {Fitzpatrick} function as a convex gap function",
day = "10",
month = feb,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Special session in memory of Simon Fitzpatrick, South
Pacific Continuous Optimization Meeting, Adelaide, SA,
Australia, February 8--12, 2015.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:MLY,
author = "Jonathan M. Borwein",
title = "{Moore's Law} is 50 years old",
day = "22",
month = jul,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Interview with ABC Radio Melbourne, VIC, Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:PP,
author = "Jonathan M. Borwein",
title = "I prefer Pi",
day = "12",
month = mar,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA Colloquium.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:SDR,
author = "Jonathan M. Borwein",
title = "Set the default to reproducible",
day = "13",
month = nov,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "CARMA workshop on Mathematical Aspects of Behavioural
Economics and Finance, November 13--14, Newcastle, NSW,
Australia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:SWAa,
author = "Jonathan M. Borwein",
title = "Short walks in arbitrary dimensions",
day = "23",
month = jun,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Final lecture Workshop on Mathematics and Computation,
CARMA 21--23 June, 2015.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:SWAb,
author = "Jonathan M. Borwein",
title = "Short walks in arbitrary dimensions",
day = "13",
month = aug,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "ASEMS Workshop on Stochastics and Special Functions,
University of Melbourne, Melbourne, VIC, Australia,
13--14 August, 2015.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:SWAc,
author = "Jonathan M. Borwein",
title = "Short walks in arbitrary dimensions",
day = "18",
month = sep,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Number Theory Down Under 3, CARMA, University of
Newcastle, 18--19 September, 2015.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:SWC,
author = "Jonathan M. Borwein",
title = "A short walk can be beautiful",
day = "1",
month = oct,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Maths Education Special Session, AustMS 59, Flinders
University, Bedford Park SA 5042, Australia, 28
Sept--Oct 1, 2015.",
URL = "http://docserver.carma.newcastle.edu.au/1712/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:TLD,
author = "Jonathan M. Borwein",
title = "Two lectures on {Douglas--Rachford} reflection methods
for convex and non convex feasibility problems",
day = "11",
month = aug,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote lectures, RMIT Workshop on Optimisation,
August 11, 2013.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2015:U,
author = "Jonathan M. Borwein",
title = "[untitled]",
day = "3",
month = nov,
year = "2015",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "NZ Radio interview on the Melbourne Cup, Newstalk
ZB.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:CAGb,
author = "Jonathan M. Borwein",
title = "Convex analysis on groups and monoids",
day = "29",
month = feb,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote lecture, South Pacific Optimization Meeting V,
University of New Caledonia, Noum{\'e}a 98851, New
Caledonia.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:CAGc,
author = "Jonathan M. Borwein",
title = "Convex Analysis on Groups and Semigroups",
day = "9",
month = jun,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture, Fourth International Workshop on
Functional Analysis, University of Cartagena, June
9--10.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:CAGd,
author = "Jonathan M. Borwein",
title = "Convex Analysis on Groups and Semigroups",
day = "20",
month = jul,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Plenary lecture, Mathematical Optimisation Down Under
(MODU2016), Melbourne, Melbourne, VIC, Australia, July
18--22. (Given from London, ON, Canada, on 21 July
2016).",
URL = "https://www.carma.newcastle.edu.au/jon/cogs.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:CMM,
author = "Jonathan M. Borwein",
title = "CARMA: a model for multi-disciplinary and
multi-institutional collaborative research",
day = "17",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Colloquium, Florida ADRC (Alzheimer's Disease Research
Center), McKnight Brain Institute, University of
Florida, Gainesville, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:LFA,
author = "Jonathan M. Borwein",
title = "The {Lambert} {$W$} function in Analysis and
Optimization",
day = "25",
month = jul,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Keynote lecture, Fields Workshop on the 20th
anniversary of the Lambert {$W$} function, July 25--28,
Western University, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:LFOa,
author = "Jonathan M. Borwein",
title = "The {Lambert} {$W$} function in Optimization",
day = "3",
month = jun,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Third Keynote lecture, OVA7, in honour of Michel
Th{\'e}ra at 70, June 1--3, Alicante, Spain.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:LHC,
author = "Jonathan M. Borwein",
title = "The Life of $ \pi $: History and Computation: A Talk
for Pi Day or Other Days",
day = "5",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nerenberg Memorial Lecture, University of Western
Ontario, London, ON, Canada.",
URL = "https://www.carma.newcastle.edu.au/jon/piday-16-sm.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
xxtitle = "The Life of Pi: a Talk for Pi Day and other Days",
}
@Unpublished{Borwein:2016:RMM,
author = "Jonathan M. Borwein",
title = "Reflection methods for matrix completion",
day = "6",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Tutte Seminar, University of Waterloo, Waterloo, ON,
Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:STWa,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on real numbers",
day = "19",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Colloquium, University of Florida,
Gainesville, FL, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:STWb,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on real numbers",
day = "30",
month = jun,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Colloquium, Dalhousie University, Halifax,
NS, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:STWc,
author = "Jonathan M. Borwein",
title = "Seeing things by walking on real numbers",
day = "14",
month = jul,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Seminar, University of Toronto, Toronto,
ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TACa,
author = "Jonathan M. Borwein",
title = "Theory and Applications of Convex and Non-Convex
Feasibility Problems",
day = "29",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Spring Lecture Series ---
University of Western Ontario, London, ON, Canada.
Lecture 1.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TACb,
author = "Jonathan M. Borwein",
title = "Theory and Applications of Convex and Non-Convex
Feasibility Problems",
day = "29",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Spring Lecture Series ---
University of Western Ontario, London, ON, Canada.
Lecture 2.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TACc,
author = "Jonathan M. Borwein",
title = "Theory and Applications of Convex and Non-Convex
Feasibility Problems",
day = "3",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Spring Lecture Series ---
University of Western Ontario, London, ON, Canada.
Lecture 3.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TACd,
author = "Jonathan M. Borwein",
title = "Theory and Applications of Convex and Non-Convex
Feasibility Problems",
day = "3",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Spring Lecture Series ---
University of Western Ontario, London, ON, Canada.
Lecture 4.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TACe,
author = "Jonathan M. Borwein",
title = "Theory and Applications of Convex and Non-Convex
Feasibility Problems",
day = "5",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Applied Mathematics Spring Lecture Series ---
University of Western Ontario, London, ON, Canada.
Lecture 5.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:TT,
author = "Jonathan M. Borwein",
title = "Technical Talk",
day = "13",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "25th Owens Memorial Lecture, Wayne State University,
Detroit, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:VAP,
author = "Jonathan M. Borwein",
title = "Variational Analysis in the Presence of Symmetry",
day = "25",
month = jun,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Informal Worshop on Nonlinear Optimization, Western,
London, ON, Canada, June 24--25.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:VTM,
author = "Jonathan M. Borwein",
title = "Visual Theorems in Mathematics",
day = "12",
month = may,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Fields Workshop on Computationally Assisted
Mathematical Discovery and Experimental Mathematics,
First Plenary Lecture, Western University, London, ON,
Canada, May 12--15.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:WNa,
author = "Jonathan M. Borwein",
title = "Walking on Numbers",
day = "7",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Technical Talk, Nerenberg Memorial Lecture, University
of Western Ontario, London, ON, Canada.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:WNb,
author = "Jonathan M. Borwein",
title = "Walking on Numbers",
day = "12",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "25th Owens Memorial Lecture, Wayne State University,
Detroit, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Unpublished{Borwein:2016:WNc,
author = "Jonathan M. Borwein",
title = "Walking on Numbers",
day = "14",
month = apr,
year = "2016",
bibdate = "Tue Aug 16 10:19:46 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Mathematics Department Colloquium, Western Michigan
University, Kalamazoo, MI, USA.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
@Article{Asic:1983:PSE,
author = "Miroslav D. Asic and Phil Novinger and Daniel Oberlin
and Irving Adler and Clark Kimberling and J. D. Shallit
and P. Erd{\H{o}}s",
title = "Problems and Solutions: Elementary Problems:
{E2995}--{E3000}",
journal = j-AMER-MATH-MONTHLY,
volume = "90",
number = "5",
pages = "334--335",
month = may,
year = "1983",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2975788",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:10 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also
\cite{Adler:1986:PSS,Asic:1986:PSS,Erdos:1986:PSS,Kimberling:1986:PSS,Novinger:1986:PSS,Shallit:1986:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Schoenberg:1985:PSA,
author = "I. J. Schoenberg",
title = "Problems and Solutions: Advanced Problems: 6501",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "8",
pages = "595--595",
month = oct,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323182",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also
\cite{Schoenberg:1987:APS,Schurger:1987:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Asic:1986:PSS,
author = "Miroslav D. Asic and A. A. Jagers",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2995}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "5",
pages = "401--402",
month = may,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323613",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:20 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Deutsch:1986:PSE,
author = "Emeric Deutsch and L. I. Nicolaescu and Ira Gessel and
Paul Monsky and Clark Kimberling and H{\"u}seyin
Demir",
title = "Problems and Solutions: Elementary Problems:
{E3159}--{E3164}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "7",
pages = "565--566",
month = aug # "\slash " # sep,
year = "1986",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:24 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also
\cite{Demir:1988:PSSa,Deutsch:1988:PSSa,Gessel:1988:PSSb,Kimberling:1989:PSS,Monsky:1989:PSS,Nicolaescu:1988:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Erdos:1986:PSS,
author = "P. Erd{\H{o}}s and J. B. Wilker and L. E. Mattics",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3000}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "7",
pages = "571--572",
month = aug # "\slash " # sep,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323046",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:24 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Kimberling:1986:PSS,
author = "Clark Kimberling and A. A. Jagers",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2998}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "9",
pages = "733--734",
month = nov,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322295",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:29 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Novinger:1986:PSS,
author = "Phil Novinger and Daniel Oberlin and Nick Lord",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2996}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "303--304",
month = apr,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323693",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Shallit:1986:PSS,
author = "J. D. Shallit and Karel Zikan and {University of South
Alabama Problem Group} and Z. A. Malzak",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2999}",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "5",
pages = "402--403",
month = may,
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323614",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:20 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Asic:1983:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Zalinescu:1986:LEJ,
author = "Constantin Z{\u{a}}linescu",
title = "Letter to the editor: on {J. M. Borwein}'s paper:
``{Adjoint} process duality'' [{Math. Oper.\ Res. {\bf
8} (1983), no. 3, 403--434; MR0716121 (85h:90092)}]",
journal = j-MATH-OP-RES,
volume = "11",
number = "4",
pages = "692--698",
month = nov,
year = "1986",
CODEN = "MOREDQ",
DOI = "https://doi.org/10.1287/moor.11.4.692",
ISSN = "0364-765X (print), 1526-5471 (electronic)",
ISSN-L = "0364-765X",
MRclass = "90C25",
MRnumber = "865564",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "See \cite{Borwein:1983:APD}.",
URL = "https://www.jstor.org/stable/3690014",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/moor",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Beck:1987:PSS,
author = "Anatole Beck and O. P. Lossers",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6492",
journal = j-AMER-MATH-MONTHLY,
volume = "94",
number = "1",
pages = "82--83",
month = jan,
year = "1987",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323519",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:33 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Borwein:1985:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Schurger:1987:PSS,
author = "Klaus Schurger and Ellen Hertz",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6502",
journal = j-AMER-MATH-MONTHLY,
volume = "94",
number = "5",
pages = "470--471",
month = may,
year = "1987",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322746",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:42 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Schoenberg:1985:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Askey:1988:BRP,
author = "Richard Askey",
title = "Book Review: {{\booktitle{Pi and the AGM}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "9",
pages = "895--897",
month = nov,
year = "1988",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.1988.11972111",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2322925",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
keywords = "AGM (arithmetic-geometric mean)",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bailey:1988:CDD,
author = "David H. Bailey",
title = "The Computation of $ \pi $ to 29,360,000 Decimal
Digits Using {Borweins}' Quartically Convergent
Algorithm",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "283--296",
month = jan,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007932",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y60 (11-04 11K16 65-04)",
MRnumber = "917836",
MRreviewer = "A. J. van der Poorten",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2007932",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Berndt:1988:BRJ,
author = "Bruce C. Berndt",
title = "Book Review: {Jonathan M. Borwein and Peter B.
Borwein, \booktitle{Pi and the AGM --- A Study of
Analytic Number Theory and Computational Complexity},
Canadian Mathematical Society Series of Mono- graphs
and Advanced Texts, Wiley, New York, 1987, xv + 414
pp., 24 cm. Price \$49.95}",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "352--354",
month = jan,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2007942",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Demir:1988:PSSa,
author = "Huseyn Demir and Gene Arnold and Vaclav Konecny",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3164}",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "7",
pages = "660--661",
month = aug # "\slash " # sep,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:09 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Gessel:1988:PSSb,
author = "Ira Gessel and David Callan",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3161}",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "8",
pages = "770--771",
month = oct,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:11 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Nicolaescu:1988:PSSb,
author = "L. I. Nicolaescu and A. A. Jagers and Robert E.
Shafer",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3160}",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "8",
pages = "769--770",
month = oct,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:11 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Wimp:1988:BRP,
author = "Jet Wimp",
title = "Book Review: {{\booktitle{Pi and the AGM: A Study in
Analytic Number Theory and Computational
Complexity}}}",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "530--533",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2030735",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Fabian:1989:STL,
author = "Mari{\'a}n Fabi{\'a}n",
title = "Subdifferentiability and trustworthiness in the light
of a new variational principle of {Borwein} and
{Preiss}",
journal = "Acta Univ. Carolin. Math. Phys.",
volume = "30",
number = "2",
pages = "51--56",
year = "1989",
CODEN = "AUMMBZ",
ISSN = "0001-7140",
MRclass = "49J50 (49J52 90C48)",
MRnumber = "1046445",
MRreviewer = "Lionel Thibault",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "17th Winter School on Abstract Analysis (Srn{\'{\i}},
1989).",
acknowledgement = ack-nhfb,
fjournal = "Acta Universitatis Carolinae. Mathematica et Physica",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kimberling:1989:PSS,
author = "Clark Kimberling and David Callan",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3163}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "1",
pages = "57--57",
month = jan,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:18 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Miller:1989:FER,
author = "Harry I. Miller",
title = "A further extension of a result of {Borwein} and
{Ditor}",
journal = "Real Anal. Exchange",
volume = "15",
number = "2",
pages = "713--723",
year = "1989/90",
ISSN = "0147-1937 (print), 1930-1219 (electronic)",
ISSN-L = "0147-1937",
MRclass = "28A05",
MRnumber = "1059432",
MRreviewer = "J. C. Oxtoby",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Real Analysis Exchange",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Miller:1989:GRB,
author = "Harry I. Miller",
title = "Generalization of a Result of {Borwein} and {Ditor}",
journal = j-PROC-AM-MATH-SOC,
volume = "105",
number = "4",
pages = "889--893",
month = apr,
year = "1989",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2047048",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "28A05 (26A21)",
MRnumber = "989098",
MRreviewer = "J. C. Oxtoby",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2047048",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Monsky:1989:PSS,
author = "Paul Monsky",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E3162}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "3",
pages = "258--259",
month = mar,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:22 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Deutsch:1986:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Rudin:1989:PSE,
author = "Walter Rudin",
title = "Problems and Solutions: Elementary Problems: {E3325}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "5",
pages = "445--445",
month = may,
year = "1989",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2325157",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Dec 29 14:01:50 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lord:1990:BRD,
author = "Nick Lord",
title = "Book Review: {{\booktitle{A Dictionary of Real
Numbers}}}",
journal = j-MATH-GAZ,
volume = "74",
number = "470",
pages = "395--396",
month = dec,
year = "1990",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/3618159",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Sturm:1990:PSE,
author = "Jacob Sturm",
title = "Problems and Solutions: Elementary Problems: {E3384}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "5",
pages = "427--427",
month = may,
year = "1990",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2324406",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Dec 29 14:46:15 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Bailey:1991:BRD,
author = "David H. Bailey",
title = "Book Review: {Jonathan Borwein and Peter Borwein,
\booktitle{A Dictionary of Real Numbers}, Wadsworth \&
Brooks\slash Cole Advanced Books \& Software, Pacific
Grove, California, 1990, viii + 424 pp., 281 cm. Price
\$69.95}",
journal = j-MATH-COMPUT,
volume = "56",
number = "193",
pages = "403--404",
month = jan,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/2008568",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@PhdThesis{Marcos:1991:CPB,
author = "Raydan M. Marcos",
title = "Convergence properties of the {Barzilai} and {Borwein}
gradient method",
type = "Thesis (Ph.D.)",
school = "Rice University",
address = "Houston, TX, USA",
pages = "60",
year = "1991",
MRclass = "Thesis",
MRnumber = "2686532",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://search.proquest.com/docview/303929682",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhuang:1991:BCC,
author = "D. M. Zhuang",
title = "Bases of convex cones and {Borwein}'s proper
efficiency",
journal = j-J-OPT-THEORY-APPL,
volume = "71",
number = "3",
pages = "613--620",
year = "1991",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00941407",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "90C29 (46B40 52A07)",
MRnumber = "1137158",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Raydan:1993:BBC,
author = "Marcos Raydan",
title = "On the {Barzilai} and {Borwein} choice of steplength
for the gradient method",
journal = j-IMA-J-NUMER-ANAL,
volume = "13",
number = "3",
pages = "321--326",
year = "1993",
CODEN = "IJNADN",
DOI = "https://doi.org/10.1093/imanum/13.3.321",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "90C30 (65K05)",
MRnumber = "1225468",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bejancu:1994:EBP,
author = "Aurelian Bejancu",
title = "On the {Ekeland} and {Borwein--Preiss} principles in
finite dimensions",
journal = "An. {\c{S}}tiin{\c{t}}. Univ. Al. I. Cuza Ia{\c{s}}i
Sec{\c{t}}. I a Mat.",
volume = "40",
number = "1",
pages = "63--67",
year = "1994",
CODEN = "AUZMAV",
ISSN = "0041-9109",
MRclass = "49J45 (49J52 49K40)",
MRnumber = "1328948",
MRreviewer = "Giandomenico Mastroeni",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Analele {\c{S}}tiin{\c{t}}ifice ale
Universit{\u{a}}{\c{t}}ii ``Al. I. Cuza'' din
Ia{\c{s}}i. Sec{\c{t}}iunea I a Matematic{\u{a}}",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Yang:1994:EBP,
author = "Xin Min Yang",
title = "The equivalence of {Benson} proper efficient solutions
and {Borwein} proper efficient solutions",
journal = "Math. Appl. (Wuhan)",
volume = "7",
number = "2",
pages = "246--247",
year = "1994",
ISSN = "1001-9847",
MRclass = "90C29",
MRnumber = "1288880",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Applicata. Yingyong Shuxue",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Berndt:1995:RTE,
author = "Bruce C. Berndt and S. Bhargharva and Frank G.
Garvan",
title = "{Ramanujan}'s theories of elliptic functions to
alternative bases",
journal = j-TRANS-AM-MATH-SOC,
volume = "347",
number = "11",
pages = "4163--4124",
month = nov,
year = "1995",
CODEN = "TAMTAM",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
bibdate = "Tue Aug 16 09:20:56 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ams.org/journals/tran/1995-347-11/S0002-9947-1995-1311903-0/S0002-9947-1995-1311903-0.pdf",
abstract = "In his famous paper on modular equations and
approximations to $ \pi $, Ramanujan offers several
series representations for $ 1 / \pi $, which he claims
are derived from ``corresponding theories'' in which
the classical base $q$ is replaced by one of three
other bases. The formulas for $ 1 / \pi $ were only
recently proved by J. M. and P. B. Borwein in 1987, but
these ``corresponding theories'' have never been
heretofore developed. However, on six pages of his
notebooks, Ramanujan gives approximately 50 results
without proofs in these theories. The purpose of this
paper is to prove all of these claims, and several
further results are established as well.",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Unpublished{Finch:1995:MBB,
author = "Steven Finch",
title = "The Miraculous {Bailey--Borwein--Plouffe} Pi
Algorithm",
day = "1",
month = oct,
year = "1995",
bibdate = "Tue Apr 26 15:43:06 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "Recent URLs redirect to an unrelated site, but the one
given here worked on 26-Apr-2011.",
URL = "http://replay.web.archive.org/20020917121814/;
http://www.mathsoft.com/ASOLVE/plouffe/plouffe.html",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
urlbad = "http://www.mathsoft.com/ASOLVE/plouffe/plouffe.html",
}
@InProceedings{Sole:1995:A,
author = "Patrick Sole",
title = "{$ D_4 $}, {$ E_6 $}, {$ E_8 $} and the {AGM}",
crossref = "Cohen:1995:AAA",
pages = "448--455",
year = "1995",
DOI = "https://doi.org/10.1007/3-540-60114-7_35",
bibdate = "Tue Mar 14 15:36:33 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
abstract = "We derive Jacobi's quartic identity and the Borweins'
cubic identity related to Ramanujan's quadratic modular
equation on theta series by lattice enumerative
methods. Both identities are instrumental in recent
work of the Borweins on the Arithmetic Geometric Mean.
Of great use are the constructions of the root lattices
$ D_4 $ and $ E_6 $ by binary and ternary codes
respectively. A third identity, equally due to the
Borweins is also derived in relation to the root
lattice $ E_8 $.",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Molina:1996:PBB,
author = "Brigida Molina and Marcos Raydan",
title = "Preconditioned {Barzilai--Borwein} method for the
numerical solution of partial differential equations",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "1--2",
pages = "45--60",
year = "1996",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02143126",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65F10 (65F50 65L10)",
MRnumber = "1417682",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adamchik:1997:SF,
author = "Victor Adamchik and Stan Wagon",
title = "A Simple Formula for $ \pi $",
journal = j-AMER-MATH-MONTHLY,
volume = "104",
number = "9",
pages = "852--855",
month = nov,
year = "1997",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11Y60",
MRnumber = "98h:11166",
MRreviewer = "W. W. Adams",
bibdate = "Tue Jun 22 10:29:34 MDT 1999",
bibsource = "https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
note = "The authors employ Mathematica to extend earlier work
of Bailey, Borwein, and Plouffe,
\cite{Bailey:1997:RCV}, done in 1995, but only just
published, that discovered an amazing formula for $ \pi
$ as is a power series in $ 16^{-k} $, enabling any
base-16 digit of $ \pi $ to be computed without
knowledge of any prior digits. In this paper,
Mathematica is used to find several simpler formulas
having powers of $ 4^{-k} $. They also note that it has
been proven that their methods cannot be used to
exhibit similar formulas in powers of $ 10^{-k} $.",
URL = "http://www.maa.org/pubs/monthly_nov97_toc.html",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Bailey:1997:RCV,
author = "David Bailey and Peter B. Borwein and Simon Plouffe",
title = "On the rapid computation of various polylogarithmic
constants",
journal = j-MATH-COMPUT,
volume = "66",
number = "218",
pages = "903--913",
month = apr,
year = "1997",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Yxx",
MRnumber = "1 415 794",
bibdate = "Fri Jul 16 10:38:42 MDT 1999",
bibsource = "http://www.ams.org/mcom/1997-66-218;
https://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
note = "See \cite{Adamchik:1997:SF}.",
URL = "http://docserver.carma.newcastle.edu.au/121/;
http://www.ams.org/journals/mcom/1997-66-218/S0025-5718-97-00856-9/S0025-5718-97-00856-9.pdf;
https://www.jstor.org/stable/2153905;
https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula",
abstract = "We give algorithms for the computation of the d-th
digit of certain transcendental numbers in various
bases. These algorithms can be easily implemented
(multiple precision arithmetic is not needed), require
virtually no memory, and feature run times that scale
nearly linearly with the order of the digit desired.
They make it feasible to compute, for example, the
billionth binary digit of $ \log (2) $ or $ \pi $ on a
modest work station in a few hours run time.\par
We demonstrate this technique by computing the ten
billionth hexadecimal digit of $ \pi $, the billionth
hexadecimal digits of $ \pi^2 $, $ \log (2) $ and $
\log^(2) $, the billionth decimal digit of $ \log (9 /
10) $ and the five billionth decimal digit of $ \log (1
- 10^{-96}) $.\par
These calculations rest on three observations. First,
the $d$-th digit of $ 1 / n$ is ``easy'' to compute.
Secondly, this scheme extends to certain polylogarithm
and arctangent series. Thirdly, very special types of
identities exist for certain numbers like $ \pi $, $
\pi^2$, $ \log (2)$ and $ \log^2 (2)$. These are
essentially polylogarithmic ladders in an integer base.
A number of these identities that we derive in this
work appear to be new, for example the critical
identity for $ \pi $:\par
$$ \pi = \sum_{i = 0}^\infty \frac {1}{16^i} \big
(\frac {4}{8 i + 1} - \frac {2} / {8 i + 4} - \frac {1}
/ {8 i + 5} - \frac {1} / {8 i + 6} \big). $$",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "BBP formula",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342",
}
@Article{Raydan:1997:BBG,
author = "Marcos Raydan",
title = "The {Barzilai} and {Borwein} gradient method for the
large scale unconstrained minimization problem",
journal = j-SIAM-J-OPT,
volume = "7",
number = "1",
pages = "26--33",
year = "1997",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/S1052623494266365",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "90C30 (65K05)",
MRnumber = "1430555",
MRreviewer = "Nada I. Djuranovi{\'c}-Mili{\v{c}}i{\v{c}}",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Takahashi:1997:IAC,
author = "Daisuke Takahashi and Yasumasa Kanada",
title = "Improvement of the algorithms for $ \pi $ calculation:
the {Gauss--Legendre} algorithm and the {Borwein}'s
quartically convergent algorithm",
journal = j-TRANS-INFO-PROCESSING-SOC-JAPAN,
volume = "38",
number = "11",
pages = "2406--2409",
year = "1997",
CODEN = "JSGRD5",
ISSN = "0387-5806",
ISSN-L = "0387-5806",
MRclass = "65A05",
MRnumber = "1492444",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Society of Japan.
Transactions",
journal-URL = "http://www.ipsj.or.jp/english/transactions.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Almkvist:1999:BBA,
author = "Gert Almkvist and Andrew Granville",
title = "{Borwein} and {Bradley}'s {Ap{\'e}ry}-like formulae
for $ \zeta (4 n + 3) $",
journal = j-EXP-MATH,
volume = "8",
number = "2",
pages = "197--203",
year = "1999",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.1999.10504398",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "11Y60 (11M06)",
MRnumber = "1700578",
MRreviewer = "A. J. van der Poorten",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://projecteuclid.org/euclid.em/1047477060",
abstract = "We prove a formula for $ \zeta (4 n + 3) $ discovered
by Borwein and Bradley (Experimental Mathematics {\bf
6}:3 (1997), 181 -194).",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Cass:1999:BRP,
author = "Peter Cass",
title = "Book Review: {{\booktitle{Pi and the AGM}}}",
journal = j-MATH-GAZ,
volume = "83",
number = "497",
pages = "334--335",
month = jul,
year = "1999",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/3619084",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Deville:199x:ADT,
author = "Robert Deville",
booktitle = "S{\'e}minaire d'Initiation {\`a} l'Analyse",
title = "Autour du th{\'e}or{\`e}me de {Borwein} et {Preiss}.
({French}) [{On} the theorem of {Borwein} and
{Preiss}]",
volume = "95",
publisher = "Univ. Paris VI, Paris",
pages = "Exp.\ No.\ 25, 7",
year = "199x",
MRclass = "49L25 (47H99 47N10 49J52)",
MRnumber = "1174766",
MRreviewer = "Dominikus Noll",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Publ. Math. Univ. Pierre et Marie Curie",
acknowledgement = ack-nhfb,
language = "French",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Abbott:2000:BRP,
author = "Steve Abbott",
title = "Book Review: {{\booktitle{Pi: A Source Book}}}",
journal = j-MATH-GAZ,
volume = "84",
number = "501",
pages = "547",
month = nov,
year = "2000",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/3620801",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Foster:2000:IBE,
author = "William Foster and Ilia Krasikov",
title = "An improvement of a {Borwein--Erd{\'e}lyi--K{\'o}s}
result",
journal = j-METHODS-APPL-ANAL,
volume = "7",
number = "4",
pages = "605--614",
year = "2000",
DOI = "https://doi.org/10.4310/MAA.2000.v7.n4.a1",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "41A10",
MRnumber = "1868548",
MRreviewer = "Haidar G. Khajah",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kitazume:2000:BIV,
author = "Masaaki Kitazume and Masahiko Miyamoto and Hiromichi
Yamada",
title = "{Borwein} identity and vertex operator algebras",
journal = j-J-NUMBER-THEORY,
volume = "82",
number = "1",
pages = "100--108",
year = "2000",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1006/jnth.1999.2482",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "17B69 (11F22)",
MRnumber = "1755157",
MRreviewer = "Michael Roitman",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X99924824",
abstract = "We will prove the Borwein identity by computing the
characters of some automorphisms of the lattice vertex
operator algebra (VOA) of type E6. As similar examples,
we will prove two identities containing the famous
Jacobi identity, which was also obtained from the VOA
of type D4 by Frenkel Lepowsky Meurman. Our method is a
variant of observations made by the above authors.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
keywords = "Borwein identity; Jacobi identity; lattice vertex
operator algebras; Root lattices; Weyl groups",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Komatsu:2000:IDA,
author = "Takao Komatsu",
title = "On inhomogeneous {Diophantine} approximation and the
{Borweins}' algorithm",
journal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
volume = "1160",
pages = "155--162",
year = "2000",
MRclass = "11J20",
MRnumber = "1799157",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Analytic number theory and related topics (Japanese)
(Kyoto, 1999).",
acknowledgement = ack-nhfb,
fjournal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2000:GEV,
author = "Yongxin Li and Shuzhong Shi",
title = "A generalization of {Ekeland}'s $ \epsilon
$-variational principle and its {Borwein--Preiss}
smooth variant",
journal = j-J-MATH-ANAL-APPL,
volume = "246",
number = "1",
pages = "308--319",
year = "2000",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.2000.6813",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "49J53 (49J50 58C20 90C48)",
MRnumber = "1761165",
MRreviewer = "Zsolt P{\'a}les",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Liu:2000:BCT,
author = "Zhi-Guo Liu",
title = "The {Borweins}' cubic theta function identity and some
cubic modular identities of {Ramanujan}",
journal = j-RAMANUJAN-J,
volume = "4",
number = "1",
pages = "43--50",
year = "2000",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1023/A:1009825922114",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "33E05 (11F11 11F27 33D15)",
MRnumber = "1754630",
MRreviewer = "Bruce C. Berndt",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Yongxin:2000:GEV,
author = "Li Yongxin and Shi Shuzhong",
title = "A Generalization of {Ekeland}'s $ \epsilon
$-Variational Principle and Its {Borwein--Preiss}
Smooth Variant",
journal = j-J-MATH-ANAL-APPL,
volume = "246",
number = "1",
pages = "308--319",
year = "2000",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1006/jmaa.2000.6813",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
bibdate = "Fri Aug 12 10:34:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022247X00968136",
abstract = "We give a generalization of Ekeland's $ \epsilon
$-Variational Principle and of its Borwein Preiss
smooth variant, replacing the distance and the norm by
a gauge-type lower semi-continuous function. As an
application of this generalization, we show that if on
a Banach space $X$ there exists a Lipschitz $ \beta
$-smooth ``bump function'', then every continuous
convex function on an open subset $U$ of $X$ is densely
$ \beta $-differentiable in $U$. This generalizes the
Borwein Preiss theorem on the differentiability of
convex functions.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Book{Arndt:2001:PU,
author = "J{\"o}rg Arndt and Christoph Haenel",
title = "Pi --- Unleashed",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 270",
year = "2001",
ISBN = "3-540-66572-2 (paperback), 3-642-56735-5 (e-book)",
ISBN-13 = "978-3-540-66572-4 (paperback), 978-3-642-56735-3
(e-book)",
LCCN = "QA484.A7513 2001",
bibdate = "Sat Apr 20 11:01:28 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
note = "Includes CD-ROM. Translated from the German by
Catriona and David Lischka.",
price = "US\$",
abstract = "Never in the 4000-year history of research into pi
have results been so prolific as at present. In their
book Joerg Arndt and Christoph Haenel describe in
easy-to-understand language the latest and most
fascinating findings of mathematicians and computer
scientists in the field of pi. Attention is focused on
new methods of computation whose speed outstrips that
of predecessor methods by orders of magnitude. The book
comes with a CD-ROM containing not only the source code
of all programs described, but also related texts and
even complete libraries.",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
tableofcontents = "1: The state of Pi art / 1 \\
2: How random is $\pi$? / 21 \\
3: Shortcuts to $\pi$ / 35 \\
4: Approximations for $\pi$ and continued fractions /
51 \\
5: Arcus tangens / 69 \\
6: Spigot algorithms / 77 \\
7: Gauss and $\pi$ / 87 \\
8: Ramanujan and $\pi$ / 103 \\
9: The Borweins and $\pi$ / 113 \\
10: The BBP algorithm / 117 \\
11: Arithmetic / 131 \\
12: Miscellaneous / 153 \\
13: The history of $\pi$ / 165 \\
14: Historical notes / 209 \\
15: The future: $\pi$ calculations on the Internet /
215 \\
16: $\pi$ formula collection / 223 \\
17: Tables / 239 \\
A: Documentation for the {\tt hfloat} Library / 247 \\
Bibliography / 257 \\
Index / 265",
}
@Article{Kohlenbach:2001:QVT,
author = "Ulrich Kohlenbach",
title = "A quantitative version of a theorem due to
{Borwein--Reich--Shafrir}",
journal = j-NUMER-FUNCT-ANAL-OPTIM,
volume = "22",
number = "5--6",
pages = "641--656",
year = "2001",
CODEN = "NFADOL",
DOI = "https://doi.org/10.1081/NFA-100105311",
ISSN = "0163-0563 (print), 1532-2467 (electronic)",
ISSN-L = "0163-0563",
MRclass = "47H10 (03F60 47H09 47J25 65J15)",
MRnumber = "1849571",
MRreviewer = "S. L. Singh",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Functional Analysis and Optimization. An
International Journal",
journal-URL = "http://www.tandfonline.com/loi/lnfa20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Lewis:2001:BCT,
author = "Richard Lewis and Zhi-Guo Liu",
title = "The {Borweins}' cubic theta functions and $q$-elliptic
functions",
crossref = "Garvan:2001:SCN",
pages = "133--145",
year = "2001",
DOI = "https://doi.org/10.1007/978-1-4613-0257-5_8",
MRclass = "33D15 (11B65)",
MRnumber = "1880083",
MRreviewer = "P. D. F. Ion",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Dev. Math.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Liu:2001:SES,
author = "Zhi-Guo Liu",
title = "Some {Eisenstein} series identities associated with
the {Borwein} functions",
crossref = "Garvan:2001:SCN",
pages = "147--169",
year = "2001",
DOI = "https://doi.org/10.1007/978-1-4613-0257-5_9",
MRclass = "11F27 (33D15)",
MRnumber = "1880084",
MRreviewer = "Jeremy Lovejoy",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Dev. Math.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Seife:2001:PKE,
author = "Charles Seife",
title = "Pi Keeps 'Em Guessing",
journal = j-SCIENCE,
volume = "203",
number = "5530",
pages = "??--??",
day = "27",
month = jul,
year = "2001",
CODEN = "SCIEAS",
DOI = "",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Wed Aug 10 18:56:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencemag.org/news/2001/07/pi-keeps-em-guessing",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
keywords = "David Bailey; Jonathan Borwein; Richard Crandall",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Warnaar:2001:GBC,
author = "S. Ole Warnaar",
booktitle = "{$q$}-series with applications to combinatorics,
number theory, and physics ({Urbana}, {IL}, 2000)",
title = "The generalized {Borwein} conjecture. {I}. {The}
{Burge} transform",
volume = "291",
publisher = "Amer. Math. Soc., Providence, RI",
pages = "243--267",
year = "2001",
DOI = "https://doi.org/10.1090/conm/291/04906",
MRclass = "05A19 (05A17 11P81 33D15 82B23)",
MRnumber = "1874535",
MRreviewer = "Anne Schilling",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Dai:2002:LCB,
author = "Yu-Hong Dai and Li-Zhi Liao",
title = "{$ \bf R $}-linear convergence of the {Barzilai} and
{Borwein} gradient method",
journal = j-IMA-J-NUMER-ANAL,
volume = "22",
number = "1",
pages = "1--10",
month = jan,
year = "2002",
CODEN = "IJNADN",
DOI = "https://doi.org/10.1093/imanum/22.1.1",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "90C30 (65K05 90C06)",
MRnumber = "1880051",
MRreviewer = "Marcos Raydan",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/",
URL = "http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220001.sgm.abs.html;
http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220001.pdf",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Grippo:2002:NGT,
author = "L. Grippo and M. Sciandrone",
title = "Nonmonotone globalization techniques for the
{Barzilai--Borwein} gradient method",
journal = j-COMP-OPTIM-APPL,
volume = "23",
number = "2",
pages = "143--169",
year = "2002",
CODEN = "CPPPEF",
DOI = "https://doi.org/10.1023/A:1020587701058",
ISSN = "0926-6003 (print), 1573-2894 (electronic)",
ISSN-L = "0926-6003",
MRclass = "90C30 (65K10 90C26)",
MRnumber = "1937087",
MRreviewer = "Marco Gaviano",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Optimization and Applications. An
International Journal",
journal-URL = "http://link.springer.com/journal/10589",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Komatsu:2002:IDA,
author = "Takao Komatsu",
booktitle = "Analytic number theory ({Beijing\slash Kyoto}, 1999)",
title = "On inhomogeneous {Diophantine} approximation and the
{Borweins}' algorithm. {II}",
volume = "6",
publisher = "Kluwer Acad. Publ., Dordrecht",
pages = "223--242",
year = "2002",
DOI = "https://doi.org/10.1007/978-1-4757-3621-2_15",
MRclass = "11J20 (11J70)",
MRnumber = "1901985",
MRreviewer = "Richard T. Bumby",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Dev. Math.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Lupas:2002:SBF,
author = "Alexandru Lupa{\c{s}}",
title = "Some {BBP}-functions",
journal = "Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.",
volume = "13",
pages = "26--29 (2003)",
year = "2002",
DOI = "https://doi.org/10.2298/PETF0213026L",
ISSN = "0353-8893 (print), 2406-0852 (electronic)",
ISSN-L = "0353-8893",
MRclass = "30D10",
MRnumber = "1992836",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Univerzitet u Beogradu. Publikacije Elektrotehni\v
ckog Fakulteta. Serija Matematika",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Raydan:2002:RSD,
author = "Marcos Raydan and Benar F. Svaiter",
title = "Relaxed steepest descent and
{Cauchy--Barzilai--Borwein} method",
journal = j-COMP-OPTIM-APPL,
volume = "21",
number = "2",
pages = "155--167",
year = "2002",
CODEN = "CPPPEF",
DOI = "https://doi.org/10.1023/A:1013708715892",
ISSN = "0926-6003 (print), 1573-2894 (electronic)",
ISSN-L = "0926-6003",
MRclass = "90C52 (90C20)",
MRnumber = "1883751",
MRreviewer = "Christian Zillober",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Optimization and Applications. An
International Journal",
journal-URL = "http://link.springer.com/journal/10589",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Reisner:2002:NTB,
author = "Shlomo Reisner",
title = "A note on a theorem of {Borwein}, {Borwein}, {Fee} and
{Girgensohn}",
journal = j-MATH-INEQUAL-APPL,
volume = "5",
number = "4",
pages = "753--754",
year = "2002",
DOI = "https://doi.org/10.7153/mia-05-76",
ISSN = "1331-4343 (print), 1848-9966 (electronic)",
MRclass = "52A38 (26D15 33B15 52A22)",
MRnumber = "1931236",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Inequal. Appl.",
fjournal = "Mathematical Inequalities \& Applications",
journal-URL = "http://mia.ele-math.com/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Thangadurai:2002:NCB,
author = "R. Thangadurai",
title = "A note on a conjecture of {Borwein} and {Choi}",
journal = "Arch. Math. (Basel)",
volume = "78",
number = "5",
pages = "386--396",
year = "2002",
CODEN = "ACVMAL",
DOI = "https://doi.org/10.1007/s00013-002-8263-8",
ISSN = "0003-889x (print), 1420-8938 (electronic)",
MRclass = "11T22 (11R18)",
MRnumber = "1903674",
MRreviewer = "Lawrence Washington",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Archiv der Mathematik",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Chamberland:2003:BBF,
author = "Marc Chamberland",
title = "Binary {BBP}-formulae for logarithms and generalized
{Gaussian--Mersenne} primes",
journal = j-J-INTEGER-SEQ,
volume = "6",
number = "3",
pages = "Article 03.3.7, 10",
year = "2003",
ISSN = "1530-7638",
MRclass = "11Y60 (11A63)",
MRnumber = "2046407",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Integer Sequences",
journal-URL = "https://cs.uwaterloo.ca/journals/JIS/",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Jimenez:2003:NLP,
author = "B. Jim{\'e}nez and V. Novo",
title = "A notion of local proper efficiency in the {Borwein}
sense in vector optimisation",
journal = j-ANZIAM-J,
volume = "45",
number = "1",
pages = "75--89",
month = jul,
year = "2003",
CODEN = "AJNOA2",
DOI = "https://doi.org/10.1017/S144618110001316X",
ISSN = "1446-1811 (print), 1446-8735 (electronic)",
ISSN-L = "1446-1811",
MRclass = "90C29 (90C46)",
MRnumber = "1995211",
MRreviewer = "Alberto Cambini",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
URL = "https://www.cambridge.org/core/journals/anziam-journal/article/notion-of-local-proper-efficiency-in-the-borwein-sense-in-vector-optimisation/54FFD574CEC237456161E9A9A39D8D3B",
acknowledgement = ack-nhfb,
ajournal = "ANZIAM J.",
fjournal = "The ANZIAM Journal. The Australian \& New Zealand
Industrial and Applied Mathematics Journal",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
onlinedate = "17 February 2009",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Todd:2003:CAN,
author = "Michael J. Todd",
title = "{{\booktitle{Convex Analysis and Nonlinear
Optimization: Theory and Examples}}. Jonathan M.
Borwein and Adrian S. Lewis, Springer, New York, 2000}
[book review]",
journal = "International Journal of Robust and Nonlinear
Control",
volume = "13",
number = "1",
pages = "92--93",
year = "2003",
DOI = "https://doi.org/10.1002/rnc.701",
ISSN = "1049-8923 (print), 1099-1239 (electronic)",
ISSN-L = "1049-8923",
bibdate = "Thu Aug 11 11:12:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Warnaar:2003:GBC,
author = "S. Ole Warnaar",
title = "The generalized {Borwein} conjecture. {II}. {Refined}
$q$-trinomial coefficients",
journal = j-DISCRETE-MATH,
volume = "272",
number = "2--3",
pages = "215--258",
year = "2003",
CODEN = "DSMHA4",
DOI = "https://doi.org/10.1016/S0012-365X(03)00047-5",
ISSN = "0012-365x (print), 1872-681x (electronic)",
ISSN-L = "0012-365X",
MRclass = "05A15 (05A19 05A30 33D15)",
MRnumber = "2009544",
MRreviewer = "Anne Schilling",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0012365X03000475",
abstract = "Transformation formulas for four-parameter refinements
of the $q$-trinomial coefficients are proven. The
iterative nature of these transformations allows for
the easy derivation of several infinite series of
$q$-trinomial identities, and can be applied to prove
many instances of Bressoud's generalized Borwein
conjecture.",
acknowledgement = ack-nhfb,
fjournal = "Discrete Mathematics",
keywords = "$q$-Trinomial coefficients; Basic hypergeometric
series; Gaussian polynomials; Rogers Ramanujan
identities",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@TechReport{Crandall:2004:BIJ,
author = "Richard E. Crandall",
title = "On a {Bessel}-integral of {J. Borwein}",
type = "Report",
institution = "Reed College",
address = "Portland, OR, USA",
pages = "2",
month = aug,
year = "2004",
bibdate = "Tue Mar 19 09:06:09 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
URL = "http://people.reed.edu/~crandall/papers/borweinJ.pdf",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Komatsu:2004:IDA,
author = "Takao Komatsu",
title = "On inhomogeneous {Diophantine} approximation and the
{Borweins}' algorithm",
journal = "Far East J. Math. Sci. (FJMS)",
volume = "12",
number = "2",
pages = "203--224",
year = "2004",
ISSN = "0972-0871",
ISSN-L = "0972-0871",
MRclass = "11J20 (11J70)",
MRnumber = "2054083",
MRreviewer = "Andrew M. Rockett",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.pphmj.com/abstract/137.htm",
acknowledgement = ack-nhfb,
fjournal = "Far East Journal of Mathematical Sciences (FJMS)",
journal-URL = "http://www.pphmj.com/journals/fjms.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Dai:2005:ABB,
author = "Yu-Hong Dai and Li-Zhi Liao and Duan Li",
booktitle = "Optimization and control with applications",
title = "An analysis of the {Barzilai} and {Borwein} gradient
method for unsymmetric linear equations",
volume = "96",
publisher = "Springer, New York",
pages = "183--211",
year = "2005",
DOI = "https://doi.org/10.1007/0-387-24255-4_8",
MRclass = "90C20 (65F10 90C52)",
MRnumber = "2144376",
MRreviewer = "Maria C. Adam",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Appl. Optim.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Dai:2005:PBB,
author = "Yu-Hong Dai and Roger Fletcher",
title = "Projected {Barzilai--Borwein} methods for large-scale
box-constrained quadratic programming",
journal = j-NUM-MATH,
volume = "100",
number = "1",
pages = "21--47",
year = "2005",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-004-0569-y",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "90C20 (65K05 90C52)",
MRnumber = "2129700",
MRreviewer = "Paul H. Calamai",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Fletcher:2005:BBM,
author = "Roger Fletcher",
booktitle = "Optimization and control with applications",
title = "On the {Barzilai--Borwein} method",
volume = "96",
publisher = pub-SV,
address = pub-SV:adr,
pages = "235--256",
year = "2005",
DOI = "https://doi.org/10.1007/0-387-24255-4_10",
MRclass = "90C30 (90C06)",
MRnumber = "2144378",
MRreviewer = "V. F. Dem{\cprime}yanov",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Appl. Optim.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Georgiev:2005:PBP,
author = "Pando Gr. Georgiev",
title = "Parametric {Borwein--Preiss} Variational Principle and
Applications",
journal = j-PROC-AM-MATH-SOC,
volume = "133",
number = "11",
pages = "3211--3225",
month = nov,
year = "2005",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-05-07853-6",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "49J53 (46N10 49J35 49J52 90C31 90C48 91A10)",
MRnumber = "2161143",
MRreviewer = "G{\'e}rard Lebourg",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/4097574",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Hersh:2005:BRM,
author = "Reuben Hersh and Roger Frye",
title = "Book Review: {{\booktitle{Mathematics by Experiment:
Plausible Reasoning in the 21st Century}}}",
journal = j-SIAM-REVIEW,
volume = "47",
number = "4",
pages = "832--833",
month = dec,
year = "2005",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/20453726",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Hoare:2005:BRM,
author = "Graham Hoare",
title = "Book Review: {{\booktitle{Mathematics by Experiment}},
by Jonathan M. Borwein, David H. Bailey. Plausible
Reasoning in the 21st Century}",
journal = j-MATH-GAZ,
volume = "89",
number = "514",
pages = "143--144",
month = mar,
year = "2005",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/3620673",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Osburn:2005:RCB,
author = "Robert Osburn",
title = "A Remark on a Conjecture of {Borwein} and {Choi}",
journal = j-PROC-AM-MATH-SOC,
volume = "133",
number = "10",
pages = "2903--2909",
month = oct,
year = "2005",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-05-07980-3",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "11E25 (11E45)",
MRnumber = "2159768",
MRreviewer = "Don Redmond",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/4097904",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Shallit:2005:BRM,
author = "Jeffrey Shallit",
title = "Book Review: {{\booktitle{Mathematics by Experiment}},
Jonathan Borwein and David Bailey, A K Peters, 2003,
288 pages, \$45.00, ISBN 1-56881-211-6.
\booktitle{Experimentation in Mathematics}, Jonathan
Borwein, David Bailey, and Roland Girgensohn, A K
Peters, 2004, 357 pages, \$49.00, ISBN 1-56881-136-5}",
journal = j-NAMS,
volume = "52",
number = "8",
pages = "863--865",
month = sep,
year = "2005",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Fri Sep 30 10:05:52 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ams.org/notices/200508/rev-shallit.pdf",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zeilberger:2005:SSM,
author = "Doron Zeilberger",
title = "Serving a Silicon Master: Book Reviews:
{{\booktitle{Mathematics by Experiment: Plausible
Reasoning in the 21st Century}}. Jonathan Borwein and
David Bailey, x + 288 pp. A K Peters, 2004. \$45.
\booktitle{Experimentation in Mathematics:
Computational Paths to Discovery}. Jonathan Borwein,
David Bailey and Roland Girgensohn. + 357 pp. A Peters,
2004. \$49}",
journal = j-AM-SCI,
volume = "93",
number = "2",
pages = "182--183",
month = apr,
year = "2005",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/27858557",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
xxtitle = "Book Review: {{\booktitle{Review: Serving a Silicon
Master}}}",
}
@Article{Alaca:2006:TDT,
author = "Ay{\c{s}}e Alaca and {\c{S}}aban Alaca and Kenneth S.
Williams",
title = "On the two-dimensional theta functions of the
{Borweins}",
journal = j-ACTA-ARITHMETICA,
volume = "124",
number = "2",
pages = "177--195",
year = "2006",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa124-2-4",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11F27 (11D45 11E20 11E25)",
MRnumber = "2262245",
MRreviewer = "Xiaotie She",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bouza:2006:BRR,
author = "C. N. Bouza",
title = "Book Reviews\slash Rese{\~n}as: {{\booktitle{Convex
Analysis and Nonlinear Optimization. Theory and
Examples}}, 2nd edition, Jonathan Borwein and Lewis
Adrian S. (2006), xii + 310 pages. CMS Books in
Mathematics\slash Ouvrages de Mathem{\'e}matiques de la
SMC, ISBN-10 0-387-29570-4. ISBN-13
978-0-387-29570-1}",
journal = "Revista Investigaci{\'o}n Operacional",
volume = "27",
number = "2",
pages = "206--208",
year = "2006",
CODEN = "????",
ISSN = "0257-4306 (print), 2224-5405 (electronic)",
ISSN-L = "0257-4306",
bibdate = "Tue Aug 30 11:50:20 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://archives-web.univ-paris1.fr/rev-inv-ope/fileadmin/rev-inv-ope/files/27206/IO_27206-BOOK_REVIEWS.pdf",
acknowledgement = ack-nhfb,
journal-URL = "https://rev-inv-ope.pantheonsorbonne.fr/",
}
@Article{Dai:2006:CBB,
author = "Yu-Hong Dai and William W. Hager and Klaus
Schittkowski and Hongchao Zhang",
title = "The cyclic {Barzilai--Borwein} method for
unconstrained optimization",
journal = j-IMA-J-NUMER-ANAL,
volume = "26",
number = "3",
pages = "604--627",
year = "2006",
CODEN = "IJNADN",
DOI = "https://doi.org/10.1093/imanum/drl006",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "90C30 (90C52)",
MRnumber = "2241317",
MRreviewer = "Fabi{\'a}n Flores-Baz{\'a}n",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Robin:2006:BRP,
author = "Anthony C. Robin",
title = "Book Review: {{\booktitle{Pi: A Source Book}}}",
journal = j-MATH-GAZ,
volume = "90",
number = "518",
pages = "375--376",
month = jul,
year = "2006",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/40378657",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zaharescu:2006:BCA,
author = "Alexandru Zaharescu",
title = "{Borwein}'s conjecture on average over arithmetic
progressions",
journal = j-RAMANUJAN-J,
volume = "11",
number = "1",
pages = "95--102",
year = "2006",
CODEN = "RAJOF9",
DOI = "https://doi.org/10.1007/s11139-006-5309-8",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
MRclass = "11B65 (05A30)",
MRnumber = "2220659",
MRreviewer = "Frank G. Garvan",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Zhang:2006:PPA,
author = "Hongchao Zhang and William W. Hager",
booktitle = "Multiscale optimization methods and applications",
title = "{PACBB}: a projected adaptive cyclic
{Barzilai--Borwein} method for box constrained
optimization",
volume = "82",
publisher = "Springer, New York",
pages = "387--392",
year = "2006",
DOI = "https://doi.org/10.1007/0-387-29550-X_21",
MRclass = "90C30 (90C52)",
MRnumber = "2191596",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Nonconvex Optim. Appl.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{AragonArtacho:2007:NSC,
author = "Francisco J. {Arag{\'o}n Artacho}",
title = "A new and self-contained proof of {Borwein}'s norm
duality theorem",
journal = j-SET-VALUED-ANAL,
volume = "15",
number = "3",
pages = "307--315",
year = "2007",
CODEN = "SVANEG",
DOI = "https://doi.org/10.1007/s11228-006-0040-6",
ISSN = "0927-6947 (print), 1572-932x (electronic)",
ISSN-L = "0927-6947",
MRclass = "47H04 (47N10 54C60)",
MRnumber = "2328864",
MRreviewer = "Vladimir V. Goncharov",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/914",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued Analysis. An International Journal Devoted
to the Theory of Multifunctions and its Applications",
journal-URL = "http://link.springer.com/journal/11228",
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Gourevitch:2007:CBS,
author = "Boris Gour{\'e}vitch and Jes{\'u}s Guillera Goyanes",
title = "Construction of binomial sums for $ \pi $ and
polylogarithmic constants inspired by {BBP} formulas",
journal = "Applied Mathematics E-Notes",
volume = "7",
pages = "237--246",
year = "2007",
ISSN = "1607-2510",
MRclass = "40C10 (11Y60)",
MRnumber = "2346048",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.math.nthu.edu.tw/%7Eamen/2007/061028-2.pdf",
abstract = "We present new sums involving binomial coefficients
for $ \pi $ and various logarithms and polylogarithms
constants. These sums are a generalization of BBP
formulas first introduced by D. Bailey, P. Borwein and
S. Plouffe in 1995. In this paper, we describe how to
find and prove such sums using the Beta function at
integer and rational arguments.",
acknowledgement = ack-nhfb,
ajournal = "Appl. Math. E-Notes",
fjournal = "Applied Mathematics E-Notes",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Hu:2007:IBB,
author = "Yi-Qing Hu and Yu-Hong Dai",
title = "Inexact {Barzilai--Borwein} method for saddle point
problems",
journal = j-NUM-LIN-ALG-APPL,
volume = "14",
number = "4",
pages = "299--317",
year = "2007",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.516",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65F10",
MRnumber = "2310393",
MRreviewer = "Paulo B. Vasconcelos",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "This paper considers the inexact Barzilai--Borwein
(BB) algorithm applied to saddle point problems. To
this aim, we study the convergence properties of the
inexact BB algorithm for symmetric positive definite
linear systems. Suppose that $ g_k $ and $ \bar {g}_k $
are the exact residual and its approximation of the
linear system at the $k$ th iteration, respectively. We
prove the $R$-linear convergence of the algorithm if $
|| \bar {g}_k - g_k|| \leq \eta ||g_k||$ for some small
$ \eta > 0$ and all $k$. To adapt the algorithm for
solving saddle point problems, we also extend the
$R$-linear convergence result to the case when the
right-hand term $ || \bar {g}_k||$ is replaced by $ ||
\bar {g}_{k - 1}||$. Although our theoretical analyses
cannot provide a good estimate to the parameter $ \eta
$, in practice, we find that $ \eta $ can be as large
as the one in the inexact Uzawa algorithm. Further
numerical experiments show that the inexact BB
algorithm performs well for the tested saddle point
problems.",
acknowledgement = ack-nhfb,
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
keywords = "Barzilai--Borwein method; R-linear convergence; saddle
point problem; Uzawa algorithm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Qiu:2007:LCL,
author = "J. H. Qiu and S. Rolewicz",
title = "Local completeness of locally pseudoconvex spaces and
{Borwein--Preiss} variational principle",
journal = j-STUDIA-MATH,
volume = "183",
number = "2",
pages = "99--115",
year = "2007",
CODEN = "SMATAZ",
DOI = "https://doi.org/10.4064/sm183-2-1",
ISSN = "0039-3223 (print), 1730-6337 (electronic)",
ISSN-L = "0039-3223",
MRclass = "46A55 (46N10 49J45)",
MRnumber = "2353880",
MRreviewer = "Diethard Pallaschke",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Studia Mathematica",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Wang:2007:PBB,
author = "Yanfei Wang and Shiqian Ma",
title = "Projected {Barzilai--Borwein} method for large-scale
nonnegative image restoration",
journal = j-INVERSE-PROBL-SCI-ENG,
volume = "15",
number = "6",
pages = "559--583",
year = "2007",
CODEN = "IPSECR",
DOI = "https://doi.org/10.1080/17415970600881897",
ISSN = "1741-5977 (print), 1741-5985 (electronic)",
ISSN-L = "1741-5977",
MRclass = "65K10 (65J20 94A08)",
MRnumber = "2363732",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Inverse Problems in Science and Engineering",
journal-URL = "http://www.tandfonline.com/loi/gipe20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@TechReport{AragonArtacho:2008:NSC,
author = "Francisco J. {Arag{\'o}n Artacho}",
title = "A new and self-contained proof of {Borwein}'s norm
duality theorem",
type = "Report",
institution = "Department of Statistics and Operations Research,
University of Alicante",
address = "03071 Alicante, Spain",
pages = "13",
day = "29",
month = may,
year = "2008",
MRclass = "49J53, 47H04, 54C60",
bibdate = "Thu Sep 01 16:10:37 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/914",
abstract = "Borwein's norm duality theorem establishes the
equality between the outer (inner) norm of a sublinear
mapping and the inner (outer) norm of its adjoint
mappings. In this note we provide an extended version
of this theorem with a new and self-contained proof
relying only on the Hahn-Banach theorem. We also give
examples showing that the assumptions of the theorem
cannot be relaxed.",
acknowledgement = ack-nhfb,
keywords = "convex process; inner norm; norm duality; outer norm;
sublinear mapping",
ORCID-numbers = "Aragon Artacho, Francisco
Javier/0000-0002-2445-8011",
}
@Article{Guillera:2008:EPS,
author = "Jes{\'u}s Guillera",
title = "Easy proofs of some {Borwein} algorithms for $ \pi $",
journal = j-AMER-MATH-MONTHLY,
volume = "115",
number = "9",
pages = "850--854",
month = nov,
year = "2008",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11Y60",
MRnumber = "2463297",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/27642614",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Lorentzen:2008:CDR,
author = "Lisa Lorentzen",
title = "Convergence and divergence of the {Ramanujan} {AGM}
fraction",
journal = j-RAMANUJAN-J,
volume = "16",
number = "1",
pages = "83--95",
month = may,
year = "2008",
DOI = "https://doi.org/10.1007/s11139-007-9112-y",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
bibdate = "Tue Mar 14 15:27:34 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
abstract = "We prove that the Ramanujan AGM fraction diverges if $
|a| = |b| $ with $ a^2 \neq b^2 $. Thereby we prove two
conjectures posed by J. Borwein and R. Crandall. We
also demonstrate a method for accelerating the
convergence of this continued fraction when it
converges.",
acknowledgement = ack-nhfb,
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Xiao:2008:SBB,
author = "Yunhai Xiao and Qingjie Hu",
title = "Subspace {Barzilai--Borwein} gradient method for
large-scale bound constrained optimization",
journal = j-APPL-MATH-OPTIM,
volume = "58",
number = "2",
pages = "275--290",
year = "2008",
CODEN = "AMOMBN",
DOI = "https://doi.org/10.1007/s00245-008-9038-9",
ISSN = "0095-4616 (print), 1432-0606 (electronic)",
ISSN-L = "0095-4616",
MRclass = "90C52 (65K10 90C26)",
MRnumber = "2439663",
MRreviewer = "C. Ilioi",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Optimization. An International
Journal with Applications to Stochastics",
journal-URL = "http://link.springer.com/journal/245",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Han:2009:APB,
author = "Lixing Han and Michael Neumann and Upendra Prasad",
title = "Alternating projected {Barzilai--Borwein} methods for
nonnegative matrix factorization",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "36",
pages = "54--82",
year = "2009/10",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "15B48 (15A23 65F05 90C52)",
MRnumber = "2779998",
MRreviewer = "Elena Pelican",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=54-82",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Han:2009:MBB,
author = "Le Han and Gao Hang Yu and L{\"u} Tai Guan",
title = "Multivariate {Barzilai--Borwein} method and its
application in elastic registration of medical image",
journal = j-ACTA-SCI-NATUR-UNIV-SUNYATSENI,
volume = "48",
number = "3",
pages = "8--12, 21",
year = "2009",
CODEN = "CHTHAJ",
ISSN = "0529-6579",
MRclass = "92C55",
MRnumber = "2548644",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Scientiarum Naturalium Universitatis Sunyatseni.
Zhongshan Daxue Xuebao. Ziran Kexue Ban",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Hong:2009:NBC,
author = "Shao Fang Hong and Wei Cao",
title = "Notes on the {Borwein--Choi} conjecture of
{Littlewood} cyclotomic polynomials",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "25",
number = "1",
pages = "65--76",
year = "2009",
DOI = "https://doi.org/10.1007/s10114-008-6444-5",
ISSN = "1439-7617 (print), 1439-8516 (electronic)",
ISSN-L = "1439-7617",
MRclass = "11R09 (11T22)",
MRnumber = "2465525",
MRreviewer = "Montserrat Vela",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{LaCruz:2009:EBB,
author = "William {La Cruz}",
title = "Extension of the {Barzilai--Borwein} method for
quadratic forms in finite {Euclidean} spaces",
journal = j-NUMER-FUNCT-ANAL-OPTIM,
volume = "30",
number = "3--4",
pages = "306--321",
year = "2009",
CODEN = "NFADOL",
DOI = "https://doi.org/10.1080/01630560902841179",
ISSN = "0163-0563 (print), 1532-2467 (electronic)",
ISSN-L = "0163-0563",
MRclass = "90C20 (65K10)",
MRnumber = "2514219",
MRreviewer = "Mirjam D{\"u}r",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Functional Analysis and Optimization. An
International Journal",
journal-URL = "http://www.tandfonline.com/loi/lnfa20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Lord:2009:BRE,
author = "Nick Lord",
title = "Book Review: {{\booktitle{Experimental Mathematics in
Action}}}",
journal = j-MATH-GAZ,
volume = "93",
number = "528",
pages = "564--566",
month = nov,
year = "2009",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://www.jstor.org/stable/40378594",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Narushima:2009:EBB,
author = "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi
Yabe",
booktitle = "Nonlinear analysis and convex analysis",
title = "Extended {Barzilai--Borwein} method for minimizing a
strictly convex quadratic function",
publisher = "Yokohama Publ., Yokohama",
pages = "141--150",
year = "2009",
MRclass = "90C20 (90C52)",
MRnumber = "2906496",
MRreviewer = "Wies{\l}awa T. Obuchowska",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Rajkovic:2009:GBC,
author = "Predrag M. Rajkovi{\'c} and Marko D. Petkovi{\'c}",
title = "Generalized {Borwein} conjecture and partitions of
natural numbers",
journal = "Funct. Anal. Approx. Comput.",
volume = "1",
number = "2",
pages = "47--56",
year = "2009",
ISSN = "1821-410X (print), 2406-1573 (electronic)",
ISSN-L = "1821-410X",
MRclass = "05A30 (11B83)",
MRnumber = "2662890",
MRreviewer = "David M. Bressoud",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Functional Analysis, Approximation and Computation",
journal-URL = "http://journal.pmf.ni.ac.rs/faac/index.php/faac",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2010:HDI,
author = "Kunle Adegoke and Olawanle Layeni",
title = "The higher derivatives of the inverse tangent function
and rapidly convergent {BBP}-type formulas for pi",
journal = "Appl. Math. E-Notes",
volume = "10",
pages = "70--75",
year = "2010",
ISSN = "1607-2510",
MRclass = "65D20 (26A24 40A25 41A58)",
MRnumber = "2606839",
MRreviewer = "Vito Lampret",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics E-Notes",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2010:NBT,
author = "Kunle Adegoke",
title = "New binary and ternary digit extraction ({BBP}-type)
formulas for trilogarithm constants",
journal = "New York J. Math.",
volume = "16",
pages = "361--367",
year = "2010",
ISSN = "1076-9803",
MRclass = "11Y60 (33B30)",
MRnumber = "2740581",
MRreviewer = "Shaun Cooper",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://nyjm.albany.edu:8000/j/2010/16_361.html",
acknowledgement = ack-nhfb,
fjournal = "New York Journal of Mathematics",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bankov:2010:BRC,
author = "Kiril Bankov",
title = "Book Review: {{\booktitle{Communicating mathematics in
the digital era}}, by J. M. Borwein, E. M. Rocha, and
J. F. Rodrigues. Pp. 325. \$49.00 (Hardback), 2008.
ISBN 978-1-56881-410-0 (A K Peters, Ltd.)}",
journal = j-MATH-GAZ,
volume = "94",
number = "531",
pages = "557--559",
month = nov,
year = "2010",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3618677",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Aug 13 18:09:13 MDT 2016",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=94&issueId=531;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.jstor.org/stable/25759758",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
xxnote = "Check downcased author string??",
}
@Article{Bauschke:2010:BWD,
author = "Heinz H. Bauschke and Xianfu Wang and Liangjin Yao",
title = "On {Borwein--Wiersma} decompositions of monotone
linear relations",
journal = j-SIAM-J-OPT,
volume = "20",
number = "5",
pages = "2636--2652",
year = "2010",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/09078016X",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
MRclass = "47H05 (47N10 90C25)",
MRnumber = "2678408",
MRreviewer = "Teemu Pennanen",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Cvijovic:2010:PBB,
author = "Djurdje Cvijovi{\'c}",
title = "Proof of the {Borwein--Broadhurst} conjecture for a
dilogarithmic integral arising in quantum field
theory",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "??--??",
day = "31",
month = oct,
year = "2010",
bibdate = "Thu Aug 11 14:04:25 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1011.0195",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "8",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Narushima:2010:EBB,
author = "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi
Yabe",
title = "Extended {Barzilai--Borwein} method for unconstrained
minimization problems",
journal = "Pac. J. Optim.",
volume = "6",
number = "3",
pages = "591--613",
year = "2010",
ISSN = "1348-9151 (print), 1349-8169 (electronic)",
ISSN-L = "1348-9151",
MRclass = "90C30 (65K10 90C06)",
MRnumber = "2743046",
MRreviewer = "Orizon P. Ferreira",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Optimization. An International
Journal",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhang:2010:NFB,
author = "Yan Zhang and Wenyu Sun and Liqun Qi",
title = "A nonmonotone filter {Barzilai--Borwein} method for
optimization",
journal = "Asia-Pac. J. Oper. Res.",
volume = "27",
number = "1",
pages = "55--69",
year = "2010",
DOI = "https://doi.org/10.1142/S0217595910002582",
ISSN = "0217-5959 (print), 1793-7019 (electronic)",
ISSN-L = "0217-5959",
MRclass = "90C53 (65K10 90C26)",
MRnumber = "2646952",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Asia-Pacific Journal of Operational Research",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhao:2010:CBB,
author = "Jianqiang Zhao",
title = "On a conjecture of {Borwein}, {Bradley} and
{Broadhurst}",
journal = j-J-REINE-ANGEW-MATH,
volume = "639",
pages = "223--233",
year = "2010",
CODEN = "JRMAA8",
DOI = "https://doi.org/10.1515/CRELLE.2010.016",
ISSN = "0075-4102 (print), 1435-5345 (electronic)",
ISSN-L = "0075-4102",
MRclass = "11M32",
MRnumber = "2608196",
MRreviewer = "Qingxue Wang",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal f{\"u}r die Reine und Angewandte Mathematik.
[Crelle's Journal]",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2011:SRB,
author = "Kunle Adegoke",
title = "Symbolic routes to {BBP}-type formulas of any degree
in arbitrary bases",
journal = "Appl. Math. Inf. Sci.",
volume = "5",
number = "2",
pages = "264--275",
year = "2011",
ISSN = "1935-0090 (print), 2325-0399 (electronic)",
ISSN-L = "1935-0090",
MRclass = "11Y60",
MRnumber = "2803495",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics \& Information Sciences",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bingham:2011:HKB,
author = "N. H. Bingham and A. J. Ostaszewski",
title = "Homotopy and the {Kestelman--Borwein--Ditor} theorem",
journal = j-CAN-MATH-BULL,
volume = "54",
number = "1",
pages = "12--20",
year = "2011",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2010-093-4",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "26A03 (54E52)",
MRnumber = "2797483",
MRreviewer = "W{\l}adys{\l}aw Wilczy{\'n}ski",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2011:FSM,
author = "Xiangli Li and Hongwei Liu and Xiaojun Sun",
title = "Feasible smooth method based on {Barzilai--Borwein}
method for stochastic linear complementarity problem",
journal = j-NUMER-ALGORITHMS,
volume = "57",
number = "2",
pages = "207--215",
year = "2011",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-010-9424-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "90C33 (65C30 90C15)",
MRnumber = "2794478",
MRreviewer = "Huifu Xu",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Musev:2011:QJB,
author = "Boil Musev and Nadezhda Ribarska",
title = "On a question of {J. Borwein} and {H. Wiersma}",
journal = j-PROC-AM-MATH-SOC,
volume = "139",
number = "5",
pages = "1707--1716",
year = "2011",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-2010-10602-0",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "47H05 (49J53 52A41)",
MRnumber = "2763759",
MRreviewer = "S{\'a}ndor Z. N{\'e}meth",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Odlyzko:2011:BRE,
author = "Andrew Odlyzko",
title = "Book Review: {{\booktitle{Experimental Mathematics in
Action}}, by D. H. Bailey, J. M. Borwein, N. J. Calkin,
R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters,
Wellesley, MA, 2007. xii + 322 pp., ISBN
978-1-56881-271-7. \$65}",
journal = j-AMER-MATH-MONTHLY,
volume = "118",
number = "10",
pages = "946--951",
month = dec,
year = "2011",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.118.10.946",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 08:58:19 MST 2012",
bibsource = "https://www.jstor.org/journals/00029890.html;
https://www.jstor.org/stable/10.4169/amermathmont.118.issue-10;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "https://www.jstor.org/stable/10.4169/amer.math.monthly.118.10.946;
https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.118.10.946.pdf",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Pilehrood:2011:ABB,
author = "Kh. Hessami Pilehrood and T. Hessami Pilehrood",
title = "A $q$-analogue of the {Bailey--Borwein--Bradley}
identity",
journal = j-J-SYMBOLIC-COMP,
volume = "46",
number = "6",
pages = "699--711",
year = "2011",
CODEN = "JSYCEH",
DOI = "https://doi.org/10.1016/j.jsc.2011.01.006",
ISSN = "0747-7171 (print), 1095-855x (electronic)",
ISSN-L = "0747-7171",
MRclass = "11B65",
MRnumber = "2781948",
MRreviewer = "Jaroslav Seibert",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0747717111000186",
abstract = "We establish a $q$-analogue of the
Bailey--Borwein--Bradley identity generating
accelerated series for even zeta values and prove $q$
analogues of Markov's and Amdeberhan's series for $
\zeta (3)$ using the $q$-Markov WZ method.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "$q$-analogue; $q$-Markov Wilf Zeilberger method;
$q$-Markov WZ pair; Ap{\'e}ry-like series; Convergence
acceleration; Generating function; zeta values",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Xie:2011:SSC,
author = "Zhipeng Xie and Songcan Chen",
title = "{SCIHTBB}: Sparsity constrained iterative hard
thresholding with {Barzilai--Borwein} step size",
journal = j-NEUROCOMPUTING,
volume = "74",
number = "17",
pages = "3663--3676",
year = "2011",
CODEN = "NRCGEO",
DOI = "https://doi.org/10.1016/j.neucom.2011.07.003",
ISSN = "0925-2312 (print), 1872-8286 (electronic)",
ISSN-L = "0925-2312",
bibdate = "Fri Aug 12 10:34:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0925231211003857",
abstract = "Iterative hard thresholding (IHT) is a class of
effective methods to compute sparse solution for
underdetermined linear system. In this paper, an
efficient IHT method with theoretical guarantee is
proposed and named SCIHTBB with attractive features:
(1) Monotone and Non-Monotone versions are presented
with initial Barzilai Borwein step size and finite step
line search. (2) Convergence analysis has been
developed based on the asymmetrical restricted isometry
property. (3) An adaptive sparsity framework is
provided to tackle the problem with unknown sparsity.
(4) Some extensions are presented to handle group
sparsity, non-negative sparsity and matrix rank
minimization. Experimental comparisons with some state
of the art methods verify that SCIHTBB is faster and
more accurate for compressive sensing and matrix
completion.",
acknowledgement = ack-nhfb,
fjournal = "Neurocomputing",
journal-URL = "http://www.sciencedirect.com/science/journal/09252312",
keywords = "Asymmetrical restricted isometry property; BB step
size; Compressive sensing; Convergence analysis; Line
search; Matrix completion",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2012:NAD,
author = "Kunle Adegoke",
title = "A novel approach to the discovery of binary {BBP}-type
formulas for polylogarithm constants",
journal = j-INTEGERS,
volume = "12",
number = "3",
pages = "345--371",
year = "2012",
CODEN = "INTEHN",
DOI = "https://doi.org/10.1515/integ.2011.105",
ISSN = "1867-0652 (print), 1867-0660 (electronic)",
MRclass = "33Bxx (11Y60)",
MRnumber = "2955519",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Integers",
journal-URL = "http://www.degruyter.com/view/j/integ",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Crandall:2012:GTB,
author = "Richard Crandall",
title = "The googol-th bit of the {Erd{\H{o}}s--Borwein}
constant",
journal = j-INTEGERS,
volume = "12",
number = "5",
pages = "811--840",
year = "2012",
CODEN = "INTEHN",
DOI = "https://doi.org/10.1515/integers-2012-0007",
ISSN = "1867-0652 (print), 1867-0660 (electronic)",
MRclass = "11A63 (11A25 11J72 11Y60)",
MRnumber = "2988549",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Integers",
journal-URL = "http://www.degruyter.com/view/j/integ",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Jiang:2012:BBB,
author = "Jianlin Jiang and Xiaoming Yuan",
title = "A {Barzilai--Borwein}-based heuristic algorithm for
locating multiple facilities with regional demand",
journal = j-COMP-OPTIM-APPL,
volume = "51",
number = "3",
pages = "1275--1295",
year = "2012",
CODEN = "CPPPEF",
DOI = "https://doi.org/10.1007/s10589-010-9392-9",
ISSN = "0926-6003 (print), 1573-2894 (electronic)",
ISSN-L = "0926-6003",
MRclass = "90B85",
MRnumber = "2891938",
MRreviewer = "Jack Brimberg",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Optimization and Applications. An
International Journal",
journal-URL = "http://link.springer.com/journal/10589",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Miller:2012:MBD,
author = "Harry I. Miller and Leila Miller-Van Wieren",
title = "More on the {Borwein--Ditor} theorem",
journal = "Sarajevo J. Math.",
volume = "8(21)",
number = "2",
pages = "367--369",
year = "2012",
DOI = "https://doi.org/10.5644/SJM.08.2.15",
ISSN = "1840-0655 (print), 2233-1964 (electronic)",
ISSN-L = "1840-0655",
MRclass = "40D25 (28A12)",
MRnumber = "3057893",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Sarajevo Journal of Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Xia:2012:ESI,
author = "Ernest X. W. Xia and Olivia X. M. Yao",
title = "{Eisenstein} series identities involving the
{Borweins}' cubic theta functions",
journal = j-J-APPL-MATH,
volume = "2012",
pages = "181264",
year = "2012",
DOI = "https://doi.org/10.1155/2012/181264",
ISSN = "1110-757X (print), 1687-0042 (electronic)",
ISSN-L = "1110-757X",
MRclass = "11F27",
MRnumber = "2979437",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.hindawi.com/journals/jam/2012/181264/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Mathematics",
journal-URL = "http://www.hindawi.com/journals/jam/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "14",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Xiao:2012:MCG,
author = "Yunhai Xiao and Huina Song and Zhiguo Wang",
title = "A modified conjugate gradient algorithm with cyclic
{Barzilai--Borwein} steplength for unconstrained
optimization",
journal = j-J-COMPUT-APPL-MATH,
volume = "236",
number = "13",
pages = "3101--3110",
year = "2012",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2012.01.032",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "90C52 (65K10)",
MRnumber = "2912677",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704271200043X",
abstract = "For solving large-scale unconstrained minimization
problems, the nonlinear conjugate gradient method is
welcome due to its simplicity, low storage, efficiency
and nice convergence properties. Among all the methods
in the framework, the conjugate gradient descent
algorithm CG\_DESCENT is very popular, in which the
generated directions descend automatically, and this
nice property is independent of any line search used.
In this paper, we generalize CG\_DESCENT with two
Barzilai Borwein steplength reused cyclically. We show
that the resulting algorithm owns attractive sufficient
descent property and converges globally under some mild
conditions. We test the proposed algorithm by using a
large set of unconstrained problems with high
dimensions in CUTEr library. The numerical comparisons
with the state-of-the-art algorithm CG\_DESCENT
illustrate that the proposed method is effective,
competitive, and promising.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
keywords = "Barzilai Borwein steplength; CG\_DESCENT; Conjugate
gradient method; CUTEr library; Wolfe condition",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Yuan:2012:BBG,
author = "Gonglin Yuan and Zengxin Wei",
title = "The {Barzilai} and {Borwein} gradient method with
nonmonotone line search for nonsmooth convex
optimization problems",
journal = "Math. Model. Anal.",
volume = "17",
number = "2",
pages = "203--216",
year = "2012",
DOI = "https://doi.org/10.3846/13926292.2012.661375",
ISSN = "1392-6292 (print), 1648-3510 (electronic)",
ISSN-L = "1392-6292",
MRclass = "90C25 (49M37 65K05)",
MRnumber = "2904364",
MRreviewer = "Yves Lucet",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Modelling and Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhang:2012:BTF,
author = "Wenlong Zhang and He-Shan Song",
title = "{BBP}-type formulae modulo $5$",
journal = j-UTIL-MATH,
volume = "89",
pages = "107--112",
year = "2012",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "40C10",
MRnumber = "3014639",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Utilitas Mathematica",
journal-URL = "http://bkocay.cs.umanitoba.ca/utilitas/index.html",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhou:2012:EBP,
author = "Zhi Ang Zhou",
title = "Equivalence of the {Borwein} properly efficient
solution and the {Benson} properly efficient solution
of a set-valued optimization problem",
journal = "Math. Pract. Theory",
volume = "42",
number = "1",
pages = "247--250",
year = "2012",
ISSN = "1000-0984",
MRclass = "49J53 (90C29)",
MRnumber = "2977049",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2013:FPD,
author = "Kunle Adegoke",
title = "Formal proofs of degree $5$ binary {BBP}-type
formulas",
journal = "Functiones et Approximatio Commentarii Mathematici",
volume = "48",
number = "part 1",
pages = "19--27",
year = "2013",
DOI = "https://doi.org/10.7169/facm/2013.48.1.2",
ISBN = "83-232-2533-8",
ISBN-13 = "978-83-232-2533-1",
ISSN = "0208-6573 (print), 2080-9433 (electronic)",
ISSN-L = "0208-6573",
MRclass = "11Y60",
MRnumber = "3086957",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ajournal = "Funct. Approx. Comment. Math.",
fjournal = "Uniwersytet im. Adama Mickiewicza w Poznaniu.
Wydzia\l\ Matematyki i Informatyki. Functiones et
Approximatio Commentarii Mathematici",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adly:2013:NMS,
author = "Samir Adly and Hadia Rammal",
title = "A new method for solving {Pareto} eigenvalue
complementarity problems",
journal = j-COMP-OPTIM-APPL,
volume = "55",
number = "3",
pages = "703--731",
month = jul,
year = "2013",
CODEN = "CPPPEF",
DOI = "https://doi.org/10.1007/s10589-013-9534-y",
ISSN = "0926-6003 (print), 1573-2894 (electronic)",
ISSN-L = "0926-6003",
bibdate = "Wed May 2 09:56:02 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Dedicated to Jonathan Borwein in honor of his 60th
birthday.",
URL = "http://link.springer.com/article/10.1007/s10589-013-9534-y",
abstract = "In this paper, we introduce a new method, called the
Lattice Projection Method (LPM), for solving eigenvalue
complementarity problems. The original problem is
reformulated to find the roots of a nonsmooth function.
A semismooth Newton type method is then applied to
approximate the eigenvalues and eigenvectors of the
complementarity problems. The LPM is compared to SNMmin
and SNMFB, two methods widely discussed in the
literature for solving nonlinear complementarity
problems, by using the performance profiles as a
comparing tool (Dolan, Mor{\'e} in Math. Program.
91:201--213, 2002). The performance measures, used to
analyze the three solvers on a set of matrices mostly
taken from the Matrix Market (Boisvert et al. in The
quality of numerical software: assessment and
enhancement, pp. 125--137, 1997), are computing time,
number of iterations, number of failures and maximum
number of solutions found by each solver. The numerical
experiments highlight the efficiency of the LPM and
show that it is a promising method for solving
eigenvalue complementarity problems. Finally, Pareto
bi-eigenvalue complementarity problems were solved
numerically as an application to confirm the efficiency
of our method.",
acknowledgement = ack-nhfb,
fjournal = "Computational optimization and applications",
journal-URL = "http://link.springer.com/journal/10589",
onlinedate = "5 February 2013",
remark = "At the memorial site,
\url{http://jonborwein.org/2016/09/you-re-not-where-you-were-but-you-re-evrywhere-we-are/},
Samir Adly writes about the origins of this paper, and
says that Jon deserved to be a co-author of it.",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Beliakov:2013:EIBa,
author = "Gleb Beliakov and Michael Johnstone and Doug Creighton
and Tim Wilkin",
title = "An efficient implementation of {Bailey} and
{Borwein}'s algorithm for parallel random number
generation on graphics processing units",
journal = j-COMPUTING,
volume = "95",
number = "4",
pages = "309--326",
month = apr,
year = "2013",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/s00607-012-0234-8",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65C10 (11K45 65Y05 65Y10 68W10)",
MRnumber = "3037592",
MRreviewer = "S. Hitotumatu",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=95&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See also \cite{Beliakov:2013:EIBb}.",
URL = "http://link.springer.com/article/10.1007/s00607-012-0234-8",
acknowledgement = ack-nhfb,
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "$\alpha_{2,3}$; normal number",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Beliakov:2013:EIBb,
author = "G. Beliakov and D. Creighton and M. Johnstone and T.
Wilkin",
title = "Efficient implementation of {Bailey} and {Borwein}
pseudo-random number generator based on normal
numbers",
journal = j-COMP-PHYS-COMM,
volume = "184",
number = "8",
pages = "1999--2004",
year = "2013",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2013.03.019",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10",
MRnumber = "3068151",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465513001276",
abstract = "This paper describes an implementation of a Linear
Congruential Generator (LCG) based on the binary
representation of the normal number $ \alpha_{2, 3} $,
and of a combined generator based on that LCG. The base
LCG with the modulus $ 3^{33} $ provides a quality
sequence with the period $ 3.7 \times 10^{15} $, which
passes all but two statistical tests from BigCrush test
suite. We improved on the original implementation by
adapting Barrett's modular reduction method, which
resulted in four-fold increase in efficiency. The
combined generator has the period of $ 10^{23} $ and
passes all tests from BigCrush suite.",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Linear Congruential Generator; Normal numbers; Random
number generation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
programsummary = "Program title: BCNRandom Catalogue identifier:
AEPG\_v1\_0. Program summary URL:
\url{http://cpc.cs.qub.ac.uk/summaries/AEPG_v1_0.html}.
Program obtainable from: CPC Program Library, Queen's
University, Belfast, N. Ireland Licensing provisions:
Standard CPC licence,
http://cpc.cs.qub.ac.uk/licence/licence.html No. of
lines in distributed program, including test data,
etc.: 1201 No. of bytes in distributed program,
including test data, etc.: 13715 Distribution format:
tar.gz Programming language: C. Computer: IBM PC;
MacBook Pro. Operating system: Windows 7, Linux, Unix,
OS X. RAM: 512KB Classification: 4.13. Nature of
problem: This is a fast pseudorandom number generator
based on normal numbers, with long period and good
statistical properties. It passes all 106 BigCrush
statistical tests and is faster than C standard library
rand generator. Suitable for parallel execution by
multiple threads and/or processes because of skip ahead
property. Solution method: Linear Congruential
Generators with specially chosen parameters are used. A
customized fast modular reduction is employed. Running
time: Generation rate is 100--200 million numbers per
second.",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Jiang:2013:FBB,
author = "Bo Jiang and Yu-Hong Dai",
title = "Feasible {Barzilai--Borwein}-like methods for extreme
symmetric eigenvalue problems",
journal = j-OPTIM-METHODS-SOFTW,
volume = "28",
number = "4",
pages = "756--784",
year = "2013",
DOI = "https://doi.org/10.1080/10556788.2012.656115",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "90C20",
MRnumber = "3175442",
MRreviewer = "Laura Martein",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Liu:2013:MSB,
author = "Hongwei Liu and Xiangli Li",
title = "Modified subspace {Barzilai--Borwein} gradient method
for non-negative matrix factorization",
journal = j-COMP-OPTIM-APPL,
volume = "55",
number = "1",
pages = "173--196",
year = "2013",
CODEN = "CPPPEF",
DOI = "https://doi.org/10.1007/s10589-012-9507-6",
ISSN = "0926-6003 (print), 1573-2894 (electronic)",
ISSN-L = "0926-6003",
MRclass = "65F05 (15A23)",
MRnumber = "3041752",
MRreviewer = "Jos{\'e}-Javier Mart{\'{\i}}nez",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Optimization and Applications. An
International Journal",
journal-URL = "http://link.springer.com/journal/10589",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Pospisil:2013:OAB,
author = "Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il",
booktitle = "Programs and algorithms of numerical mathematics 16",
title = "An optimal algorithm with {Barzilai--Borwein}
steplength and superrelaxation for {QPQC} problem",
publisher = "Acad. Sci. Czech Repub. Inst. Math., Prague",
pages = "155--161",
year = "2013",
MRclass = "74M15 (90C90)",
MRnumber = "3203815",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhang:2013:NFB,
author = "Wenlong Zhang",
title = "New formulae of {BBP}-type with different moduli",
journal = j-J-MATH-ANAL-APPL,
volume = "398",
number = "1",
pages = "46--60",
year = "2013",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2012.08.007",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11Y60",
MRnumber = "2984314",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2014:GRF,
author = "Kunle Adegoke",
title = "The {Golden Ratio}, {Fibonacci} Numbers and {BBP}-Type
Formulas",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "129--138",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "11B39 (11Y60)",
MRnumber = "3214376",
MRreviewer = "Ovidiu Dumitru Bagdasar",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/adegoke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adegoke:2014:NBB,
author = "Kunle Adegoke",
title = "A New Binary {BBP}-Type Formula for $ \sqrt {5} \log
\phi $",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "357--359",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "11Y60",
MRnumber = "3276062",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/adegoke.pdf;
http://www.fq.math.ca/Papers/52-4/adegoke4282014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. The Official Journal of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Ganz:2014:DES,
author = "Reinhard E. Ganz",
title = "The Decimal Expansion of $ \pi $ Is Not Statistically
Random",
journal = j-EXP-MATH,
volume = "23",
number = "2",
pages = "99--104",
year = "2014",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2013.870504",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Wed Sep 10 07:36:52 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
http://www.tandfonline.com/toc/uexm20/23/2",
note = "See the reproduction of results, and reanalysis, in
\cite{Bailey:2016:RCS}, that reveals a flaw in the
statistical analysis in this paper: Ganz used only a
single blocksize in sampling digits, and that blocksize
produces anomalous statistics.",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
remark-1 = "From page 100, column 2: ``\ldots{} This resulted in a
test of third-order symbolic statistics, which the
decimal expansion of $\pi$ fails at a high level of
statistical significance.''",
remark-2 = "From page 104, column 1: ``Thus, the decimal expansion
of $\pi$ cannot considered the realization of a
sequence of iid random variables with uniform
distribution on $\{0, 1, \ldots{}, 9\}$.''",
remark-3 = "Graphs on page 103 of third-order statistics on the
first $10^{13}$ digits of $\pi$ have quite different
appearance before and after digit shuffling. The
statistics after the shuffle more nearly resemble a
normal distribution, whereas before, they are clearly
skewed.",
}
@Article{Howlett:2014:BRC,
author = "Phil Howlett",
title = "Book Review: {{\booktitle{Convex functions:
Constructions, characterizations and counterexamples}},
by Jonathan M. Borwein and Jon D. Vanderwerff}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "41",
number = "3",
pages = "173--177",
month = jul,
year = "2014",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
bibdate = "Tue Aug 23 11:59:05 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.austms.org.au/Publ/Gazette/2014/Jul14/BkRev.pdf",
ZMnumber = "1329.00068",
acknowledgement = ack-nhfb,
ajournal = "Aust. Math. Soc. Gaz.",
fjournal = "Australian Mathematical Society Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
Phil/0000-0003-2382-8137",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2014:BBT,
author = "Yakui Huang and Hongwei Liu and Sha Zhou",
title = "A {Barzilai--Borwein} type method for stochastic
linear complementarity problems",
journal = j-NUMER-ALGORITHMS,
volume = "67",
number = "3",
pages = "477--489",
year = "2014",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-013-9803-y",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "90C15 (90C33)",
MRnumber = "3271398",
MRreviewer = "Jie Zhang",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2014:PBB,
author = "Xiang Li Li and Sha Zhou",
title = "Projected {Barzilai--Borwein} method for a class of
stochastic linear complementarity problems",
journal = "Acta Math. Appl. Sin.",
volume = "37",
number = "2",
pages = "278--285",
year = "2014",
ISSN = "0254-3079",
MRclass = "90C33 (90C15)",
MRnumber = "3236826",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue
Xuebao",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Petrov:2014:BBM,
author = "Miroslav S. Petrov and Todor D. Todorov",
title = "{Barzilai--Borwein} method for a nonlocal elliptic
problem",
journal = "Mat. Bilten",
volume = "38",
number = "2",
pages = "23--30",
year = "2014",
ISSN = "0351-336X",
MRclass = "65N30 (35K55 49J20 65N12 92-08 92D25)",
MRnumber = "3502414",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Matematichki Bilten. Bulletin Math{\'e}matique de la
Soci{\'e}t{\'e} des Math{\'e}maticiens de la
R{\'e}publique de Mac{\'e}doine",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Qiu:2014:NAB,
author = "Yuanying Qiu and Jianlei Yan and Fanyong Xu",
title = "Nonmonotone adaptive {Barzilai--Borwein} gradient
algorithm for compressed sensing",
journal = j-ABSTR-APPL-ANAL,
volume = "2014",
pages = "410104",
year = "2014",
DOI = "https://doi.org/10.1155/2014/410104",
ISSN = "1085-3375 (print), 1687-0409 (electronic)",
ISSN-L = "1085-3375",
MRclass = "94A12 (90C53 90C90)",
MRnumber = "3198186",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Abstract and Applied Analysis",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "6",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Sendov:2014:SBA,
author = "Hristo S. Sendov and Ri{\v{c}}ardas Zitikis",
title = "The shape of the {Borwein--Affleck--Girgensohn}
function generated by completely monotone and
{Bernstein} functions",
journal = j-J-OPT-THEORY-APPL,
volume = "160",
number = "1",
pages = "67--89",
year = "2014",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-013-0345-1",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "26B25",
MRnumber = "3149118",
MRreviewer = "Giovanni Alberti",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Virosztek:2014:PBB,
author = "D{\'a}niel Virosztek",
title = "On a problem of {Bauschke} and {Borwein}",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "??--??",
day = "5",
month = dec,
year = "2014",
bibdate = "Thu Aug 11 14:23:45 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1412.2602",
abstract = "Consider a differentiable convex function $ f \colon R
n \supset {\rm dom} f \to R $. The induced spectral
function $F$ is given by $ F = f \cdot \lambda $, where
$ \lambda \colon M^{sa}_n \to R^n$ is the eigenvalue
map. Let us denote by $ D_f$ and $ D_F$ the Bregman
distances associated with $f$ and $F$, respectively. In
the paper ``Joint and separate convexity of the Bregman
distance'' written by H. Bauschke and J. Borwein the
following open problem has been suggested. ``Is $ D_f$
jointly convex if and only if $ D_F$ is?'' In this
short note we provide a negative answer to this
question.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "??",
remark = "From the Web site: This paper has been withdrawn by
the author because a gap has been observed in the proof
of a cited theorem which was an essential ingredient of
our argument",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Xiao:2014:NBB,
author = "Yunhai Xiao and Soon-Yi Wu and Liqun Qi",
title = "Nonmonotone {Barzilai--Borwein} gradient algorithm for
$ \ell_1 $-regularized nonsmooth minimization in
compressive sensing",
journal = j-J-SCI-COMPUT,
volume = "61",
number = "1",
pages = "17--41",
year = "2014",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/s10915-013-9815-8",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65K10 (90C30)",
MRnumber = "3254365",
MRreviewer = "Ern{\"o} Robert Csetnek",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
journal-URL = "http://link.springer.com/journal/10915",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhang:2014:NFB,
author = "Wenlong Zhang and Ying Zhang",
title = "New formulae of {BBP}-type modulo $6$",
journal = "Quaest. Math.",
volume = "37",
number = "3",
pages = "393--400",
year = "2014",
DOI = "https://doi.org/10.2989/16073606.2013.779605",
ISSN = "1607-3606 (print), 1727-933X (electronic)",
ISSN-L = "1607-3606",
MRclass = "65B10 (40C10)",
MRnumber = "3285292",
MRreviewer = "H. P. Dikshit",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Quaestiones Mathematicae. Journal of the South African
Mathematical Society",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Adiga:2015:RGT,
author = "Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali",
title = "On {Ramanujan}'s general theta function and a
generalization of the {Borweins}' cubic theta
functions",
journal = "Asian-Eur. J. Math.",
volume = "8",
number = "1",
pages = "1550002, 16",
year = "2015",
DOI = "https://doi.org/10.1142/S1793557115500023",
ISSN = "1793-5571 (print), 1793-7183 (electronic)",
ISSN-L = "1793-7183",
MRclass = "11F27 (05A30 11B65)",
MRnumber = "3322545",
MRreviewer = "Mohammad Ahmad",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Asian-European Journal of Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Anonymous:2015:IJB,
author = "Anonymous",
title = "Interview with {Jon Borwein} at the {International
Conference on Variational Analysis, Optimization and
Quantitative Finance in honor of Terry Rockafellar's
80th Birthday}",
howpublished = "Web video",
day = "18--22",
month = may,
year = "2015",
bibdate = "Sat Sep 03 12:10:00 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://terryfest2015.xlim.fr/?page_id=482",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Cohen:2015:BRM,
author = "Marion Cohen",
title = "Book Review: {{\booktitle{Mathematicians on
Creativity}}. Edited by Peter B. Borwein, Peter
Liljedahl, and Helen Zhai, The Mathematical Association
of America, Washington DC, 2014, xviii + 199 pp, ISBN
978-0-88385-574-4, \$30.00}",
journal = j-AMER-MATH-MONTHLY,
volume = "122",
number = "6",
pages = "613--616",
month = jun # "\slash " # jul,
year = "2015",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.122.6.613",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Aug 4 15:54:08 MDT 2015",
bibsource = "https://www.jstor.org/stable/10.4169/amermathmont.122.issue-6;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;",
URL = "https://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.613",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Dai:2015:PBB,
author = "Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang",
booktitle = "Numerical analysis and optimization",
title = "A positive {Barzilai--Borwein}-like stepsize and an
extension for symmetric linear systems",
volume = "134",
publisher = "Springer, Cham",
pages = "59--75",
year = "2015",
DOI = "https://doi.org/10.1007/978-3-319-17689-5_3",
MRclass = "65K10 (90C20)",
MRnumber = "3446842",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Springer Proc. Math. Stat.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Fang:2015:DSF,
author = "Xiaowei Fang and Qin Ni",
title = "A direct search frame-based adaptive
{Barzilai--Borwein} method",
journal = j-J-COMP-MATH,
volume = "33",
number = "2",
pages = "179--190",
year = "2015",
CODEN = "JCMMEB",
DOI = "https://doi.org/10.4208/jcm.1411-m4519",
ISSN = "0254-9409 (print), 1991-7139 (electronic)",
ISSN-L = "0254-9409",
MRclass = "90C56 (65K10 90C30)",
MRnumber = "3326009",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Gao:2015:BBL,
author = "Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong",
title = "{Barzilai--Borwein}-like methods for the extreme
eigenvalue problem",
journal = "J. Ind. Manag. Optim.",
volume = "11",
number = "3",
pages = "999--1019",
year = "2015",
DOI = "https://doi.org/10.3934/jimo.2015.11.999",
ISSN = "1547-5816 (print), 1553-166X (electronic)",
ISSN-L = "1547-5816",
MRclass = "90C25 (49M30 90C30)",
MRnumber = "3269459",
MRreviewer = "Jen-Chih Yao",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Industrial and Management Optimization",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2015:BBT,
author = "Yakui Huang and Hongwei Liu",
title = "A {Barzilai--Borwein} type method for minimizing
composite functions",
journal = j-NUMER-ALGORITHMS,
volume = "69",
number = "4",
pages = "819--838",
year = "2015",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-014-9927-8",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65K10 (90C53 90C56)",
MRnumber = "3374101",
MRreviewer = "Masoud Hajarian",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2015:EMP,
author = "Yakui Huang and Hongwei Liu and Sha Zhou",
title = "An efficient monotone projected {Barzilai--Borwein}
method for nonnegative matrix factorization",
journal = j-APPL-MATH-LETT,
volume = "45",
pages = "12--17",
year = "2015",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/j.aml.2015.01.003",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
ISSN-L = "0893-9659",
MRclass = "15A21 (90C20)",
MRnumber = "3316954",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0893965915000087",
abstract = "In this paper, we present an efficient method for
nonnegative matrix factorization based on the
alternating nonnegative least squares framework. Our
approach adopts a monotone projected Barzilai Borwein
(MPBB) method as an essential subroutine where the step
length is determined without line search. The Lipschitz
constant of the gradient is exploited to accelerate
convergence. Global convergence of the proposed MPBB
method is established. Numerical results are reported
to demonstrate the efficiency of our algorithm.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters. An International Journal
of Rapid Publication",
journal-URL = "http://www.sciencedirect.com/science/journal/08939659",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2015:QRP,
author = "Yakui Huang and Hongwei Liu and Shuisheng Zhou",
title = "Quadratic regularization projected {Barzilai--Borwein}
method for nonnegative matrix factorization",
journal = "Data Min. Knowl. Discov.",
volume = "29",
number = "6",
pages = "1665--1684",
year = "2015",
DOI = "https://doi.org/10.1007/s10618-014-0390-x",
ISSN = "1384-5810 (print), 1573-756X (electronic)",
ISSN-L = "1384-5810",
MRclass = "65F05 (15A23 90C53 90C55)",
MRnumber = "3401823",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Data Mining and Knowledge Discovery",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2015:RCP,
author = "Yakui Huang and Hongwei Liu",
title = "On the rate of convergence of projected
{Barzilai--Borwein} methods",
journal = j-OPTIM-METHODS-SOFTW,
volume = "30",
number = "4",
pages = "880--892",
year = "2015",
DOI = "https://doi.org/10.1080/10556788.2015.1004064",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "90C53 (90C25 90C26)",
MRnumber = "3375679",
MRreviewer = "Saman Babaie-Kafaki",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2015:SNB,
author = "Xiangli Li",
title = "Smoothing nonmonotone {Barzilai--Borwein} gradient
method and its application to stochastic linear
complementarity problems",
journal = "Mathematical Problems in Engineering",
volume = "2015",
pages = "425351",
year = "2015",
DOI = "https://doi.org/10.1155/2015/425351",
ISSN = "1024-123X",
MRclass = "90C15 (90C33)",
MRnumber = "3407135",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.hindawi.com/journals/mpe/2015/425351/",
acknowledgement = ack-nhfb,
ajournal = "Math. Probl. Eng.",
fjournal = "Mathematical Problems in Engineering",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
pagecount = "6",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Merca:2015:DII,
author = "Mircea Merca",
title = "A double inequality involving {Erd{\H{o}}s--Borwein}
constants",
journal = "Miskolc Math. Notes",
volume = "16",
number = "1",
pages = "277--281",
year = "2015",
ISSN = "1787-2405",
MRclass = "26D15 (05A15 26D07 30B10)",
MRnumber = "3384606",
MRreviewer = "Shea-Ming Oon",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Miskolc Mathematical Notes. A Publication of the
University of Miskolc",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Nimbran:2015:TSA,
author = "Amrik Singh Nimbran",
title = "{Taylor} series for arctan and {BBP}-type formulas for
$ \pi $",
journal = j-MATH-STUDENT,
volume = "84",
number = "3--4",
pages = "39--52",
year = "2015",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "26A24 (30D10 33B10 40A25 41A58)",
MRnumber = "3467545",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Student",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Solomon:2015:DS,
author = "Benjamin T. Solomon",
title = "{ET}, the Deafening Silence",
journal = "Huffington Post",
volume = "??",
number = "??",
pages = "??",
day = "10",
month = aug,
year = "2015",
bibdate = "Tue Aug 16 07:19:15 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "See \cite{Bailey:2015:DSF}.",
URL = "http://www.huffingtonpost.com/benjamin-t-solomon/et-the-deafening-silence_b_7608462.html",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Sopyla:2015:SGD,
author = "Krzysztof Sopy{\l}a and Pawe Drozda",
title = "Stochastic Gradient Descent with {Barzilai--Borwein}
update step for {SVM}",
journal = j-INFO-SCI,
volume = "316",
pages = "218--233",
year = "2015",
CODEN = "ISIJBC",
DOI = "https://doi.org/10.1016/j.ins.2015.03.073",
ISSN = "0020-0255 (print), 1872-6291 (electronic)",
ISSN-L = "0020-0255",
bibdate = "Fri Aug 12 10:34:13 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Nature-Inspired Algorithms for Large Scale Global
Optimization.",
URL = "http://www.sciencedirect.com/science/article/pii/S0020025515002467",
abstract = "This paper presents a new approach to solving the
optimization task that arises when L2-SVM in its primal
form is considered. In particular, we propose the
application of a Barzilai Borwein (BB) update step in
five variants for the classic Stochastic Gradient
Descent (SGD) algorithm. The evaluation is designed to
check the effectiveness of the proposed methods in
large scale scenarios in terms of execution time,
convergence and sensitivity to the choice of initial
parameters. The obtained results are compared with
those obtained for well-known linear SVM algorithms and
they indicate that the level of convergence of the
proposed methods is very similar to that found in the
other studies. Moreover, our approach shows much lower
sensitivity to the choice of initial parameters, which
allows for a substantial reduction of pre-processing.",
acknowledgement = ack-nhfb,
fjournal = "Information Sciences",
journal-URL = "http://www.sciencedirect.com/science/journal/00200255",
keywords = "Barzilai Borwein; Classification; Online learning;
Stochastic Gradient Descent; SVM",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Wang:2015:BBS,
author = "Liumei Wang and Wenyu Sun and Raimundo J. B. de
Sampaio and Jinyun Yuan",
title = "A {Barzilai} and {Borwein} scaling conjugate gradient
method for unconstrained optimization problems",
journal = j-APPL-MATH-COMP,
volume = "262",
pages = "136--144",
year = "2015",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2015.04.046",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "65K05 (90C30 90C53)",
MRnumber = "3346529",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300315005044",
abstract = "In this paper, we combine the conjugate gradient
method with the Barzilai and Borwein gradient method,
and propose a Barzilai and Borwein scaling conjugate
gradient method for nonlinear unconstrained
optimization problems. The new method does not require
to compute and store matrices associated with Hessian
of the objective functions, and has an advantage of
less computational efforts. Moreover, the descent
direction property and the global convergence are
established when the line search fulfills the Wolfe
conditions. The limited numerical experiments and
comparisons show that the proposed algorithm is
potentially efficient.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
keywords = "Barzilai Borwein method; Conjugate gradient method;
Global convergence; Optimization methods; Unconstrained
optimization",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Wei:2015:SBT,
author = "Chuanan Wei",
title = "Several {BBP}-type formulas for $ \pi $",
journal = "Integral Transforms Spec. Funct.",
volume = "26",
number = "5",
pages = "315--324",
year = "2015",
DOI = "https://doi.org/10.1080/10652469.2014.997724",
ISSN = "1065-2469 (print), 1476-8291 (electronic)",
ISSN-L = "1065-2469",
MRclass = "11Y60 (40A15 65B10)",
MRnumber = "3312607",
MRreviewer = "Necdet Batir",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Integral Transforms and Special Functions. An
International Journal",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Anonymous:2016:JMB,
author = "Anonymous",
title = "{Jonathan M. Borwein}, former {CMS President}, dies at
65",
journal = j-ACM-COMM-COMP-ALGEBRA,
volume = "50",
number = "3",
pages = "121--122",
month = sep,
year = "2016",
CODEN = "????",
ISSN = "1932-2232 (print), 1932-2240 (electronic)",
ISSN-L = "1932-2232",
bibdate = "Tue Apr 04 14:00:57 2017",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Communications in Computer Algebra",
issue = "197",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Arzani:2016:NNF,
author = "F. Arzani and M. Reza Peyghami",
title = "A new nonmonotone filter {Barzilai--Borwein} method
for solving unconstrained optimization problems",
journal = j-INT-J-COMPUT-MATH,
volume = "93",
number = "3",
pages = "596--608",
year = "2016",
CODEN = "IJCMAT",
DOI = "https://doi.org/10.1080/00207160.2015.1009903",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
MRclass = "65K10 (90C30 90C53)",
MRnumber = "3462118",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2016:BBM,
author = "David H. Bailey",
title = "{Bailey}, {Borwein}, {Mattingly} and {Wightwick} to
receive the {Levi L. Conant Prize} from {AMS}",
howpublished = "Web document.",
day = "2",
month = dec,
year = "2016",
bibdate = "Fri Dec 02 17:54:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://experimentalmath.org/2016/12/bailey-borwein-mattingly-and-wightwick-to-receive-the-levi-l-conant-prize-from-ams/;
http://www.ams.org/news?news_id=3232",
abstract = "This year's prize was awarded for the recipients' 2013
article \booktitle{The Computation of Previously
Inaccessible Digits of $ \pi^2 $ and Catalan's
Constant} \cite{Bailey:2013:CPI}, which appeared in the
August 2013 issue of the \booktitle{Notices of the
American Mathematical Society}. The AMS summarizes the
article as follows:\par
``The article opens with a historical journey, from
Archimedes to the computer age, with many interesting
anecdotes along the way. It then goes on to discuss the
remarkable ``BBP'' formula, discovered by Bailey
together with Peter Borwein and Simon Plouffe. The
formula allows one to calculate binary or hexadecimal
digits of $ \pi $ beginning with the nth digit without
first calculating any of the preceding $ n - 1 $
digits. The article leads readers through not only an
elementary proof of the BBP formula but also the
unconventional search that originally led to this
formula as well as similar formulas for Catalan's
constant and $ \pi^2 $. The article also provides
intriguing insights into the age-old question of
whether the digits of $ \pi $ are truly randomly
distributed.''",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Bailey:2016:CDD,
author = "David H. Bailey",
title = "The computation of $ \pi $ to 29,360,000 decimal
digits using {Borweins}' quartically convergent
algorithm (1988)",
crossref = "Bailey:2016:PNG",
pages = "109--124",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-32377-0_7",
bibdate = "Tue Mar 14 11:34:57 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2016:JBD,
author = "David H. Bailey",
title = "{Jonathan Borwein} dies at 65",
howpublished = "Math Drudge",
day = "2",
month = aug,
year = "2016",
bibdate = "Tue Aug 16 08:21:38 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://experimentalmath.info/blog/2016/08/jonathan-borwein-dies-at-65/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bailey:2016:JMB,
author = "David H. Bailey",
title = "{Jonathan M. Borwein}'s Extraordinary Mathematical
Career",
journal = j-CMS-NOTES,
volume = "48",
number = "6",
pages = "14--15",
month = dec,
year = "2016",
ISSN = "0045-5164",
ISSN-L = "0045-5164",
bibdate = "Sat Jan 07 11:42:46 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf;
http:www.jonborwein.org/jmbpapers/",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Society Notes",
journal-URL = "https://cms.math.ca/notes",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Breen:2016:DBJ,
author = "Mike Breen and Annette Emerson",
title = "{David Bailey}, {Jonathan Borwein}, {Andrew
Mattingly}, and {Glenn Wightwick} to Receive {2017 AMS
Conant Prize}",
howpublished = "AMS press release.",
day = "2",
month = dec,
year = "2016",
bibdate = "Fri Dec 02 18:00:54 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.ams.org/news?news_id=3232",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Campbell:2016:LEJ,
author = "Christiane Rousseau Eddy Campbell and Graham P.
Wright",
title = "Letter to the {Editor}: {Jonathan Borwein} and the
{Canadian Mathematical Society}",
journal = j-CMS-NOTES,
volume = "48",
number = "6",
pages = "21--21",
month = dec,
year = "2016",
ISSN = "0045-5164",
ISSN-L = "0045-5164",
bibdate = "Sat Jan 07 11:42:46 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Society Notes",
journal-URL = "https://cms.math.ca/notes",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Campbell:2016:RUN,
author = "Alexander Campbell",
title = "Research uncovers new sources of financial model risk:
Past performance of financial models is no guarantee of
future success, two forthcoming papers suggest",
journal = "Risk.net",
volume = "??",
number = "??",
pages = "??--??",
day = "20",
month = may,
year = "2016",
bibdate = "Tue Aug 23 09:50:22 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.risk.net/risk/news/2458806/research-uncovers-new-sources-of-financial-model-risk",
acknowledgement = ack-nhfb,
journal-URL = "http://www.risk.net/category/risk-management",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Chapman:2016:LEJ,
author = "Scott T. Chapman",
title = "A Letter From the {Editor}: {Jonathan M. Borwein}
(1951--2016)",
journal = j-AMER-MATH-MONTHLY,
volume = "123",
number = "9",
pages = "847--848",
month = nov,
year = "2016",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.123.9.847",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Nov 8 09:04:47 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "https://www.jstor.org/stable/10.4169/amer.math.monthly.123.9.847",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Cohn:2016:SPP,
author = "Henry Cohn and Abhinav Kumar and Stephen D. Miller and
Danylo Radchenko and Maryna Viazovska",
title = "The sphere packing problem in dimension $ 24 $",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "1--12",
day = "21",
month = mar,
year = "2016",
bibdate = "Sat Apr 02 06:35:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
URL = "http://arxiv.org/abs/1603.06518",
acknowledgement = ack-nhfb,
}
@Article{Dai:2016:BBC,
author = "YuHong Dai and CaiXia Kou",
title = "A {Barzilai--Borwein} conjugate gradient method",
journal = j-SCI-CHINA-MATH,
volume = "59",
number = "8",
pages = "1511--1524",
month = jul,
year = "2016",
DOI = "https://doi.org/10.1007/s11425-016-0279-2",
ISSN = "1674-7283 (print), 1869-1862 (electronic)",
ISSN-L = "1869-1862",
MRclass = "49M37 (65K05 90C30)",
MRnumber = "3528500",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Science China. Mathematics",
journal-URL = "http://link.springer.com/journal/11425",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Galicki:2016:CAB,
author = "Aleksander Galicki and Andr{\'e} Nies",
editor = "Arnold Beckmann and Laurent Bienvenu and Natas{\v{s}}a
Jonoska",
booktitle = "Pursuit of the Universal: {12th Conference on
Computability in Europe, CiE 2016, Paris, France, June
27--July 1, 2016, Proceedings}",
title = "A Computational Approach to the {Borwein--Ditor}
Theorem",
volume = "9709",
publisher = pub-SV,
address = pub-SV:adr,
pages = "99--104",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-40189-8_10",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Guillera:2016:NPB,
author = "Jes{\'u}s Guillera",
title = "New proofs of {Borwein}-type algorithms for Pi",
journal = j-INTEGRAL-TRANSFORMS-SPEC-FUNCT,
volume = "27",
number = "10",
pages = "775--782",
month = jun,
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.1080/10652469.2016.1200573",
ISSN = "1065-2469 (print), 1476-8291 (electronic)",
ISSN-L = "1065-2469",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Integral Transforms and Special Functions",
journal-URL = "http://www.tandfonline.com/loi/gitr20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Huang:2016:SPC,
author = "Yakui Huang and Hongwei Liu and Tengteng Yu",
title = "Smoothing projected cyclic {Barzilai--Borwein} method
for stochastic linear complementarity problems",
journal = j-INT-J-COMPUT-MATH,
volume = "93",
number = "7",
pages = "1188--1199",
year = "2016",
CODEN = "IJCMAT",
DOI = "https://doi.org/10.1080/00207160.2015.1040780",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
MRclass = "90C15 (65K15 90C33)",
MRnumber = "3494016",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kortenkamp:2016:JMB,
author = "Ulrich Kortenkamp and John Monaghan and Luc Trouche",
title = "{Jonathan M. Borwein (1951--2016)}: exploring,
experiencing and experimenting in mathematics --- an
inspiring journey in mathematics",
journal = j-EDUC-STUD-MATH,
volume = "93",
number = "2",
pages = "131--136",
month = oct,
year = "2016",
CODEN = "EDSMAN",
DOI = "https://doi.org/10.1007/s10649-016-9729-0",
ISSN = "0013-1954 (print), 1573-0816 (electronic)",
ISSN-L = "0013-1954",
bibdate = "Tue Jan 3 07:42:05 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/educstudmath.bib",
URL = "http://link.springer.com/accesspage/article/10.1007/s10649-016-9729-0",
acknowledgement = ack-nhfb,
fjournal = "Educational Studies in Mathematics",
journal-URL = "http://link.springer.com/journal/10649",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Krejic:2016:BBM,
author = "Nata{\v{s}}a Kreji{\'c} and Nata{\v{s}}a Krklec
Jerinki{\'c} and Sanja Rapaji{\'c}",
title = "{Barzilai--Borwein} method with variable sample size
for stochastic linear complementarity problems",
journal = j-OPTIMIZATION,
volume = "65",
number = "2",
pages = "479--499",
year = "2016",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331934.2015.1062008",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
MRclass = "90C33 (65K15 90C15)",
MRnumber = "3438121",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://arxiv.org/abs/1312.7323",
acknowledgement = ack-nhfb,
fjournal = "Optimization. A Journal of Mathematical Programming
and Operations Research",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kruger:2016:BPV,
author = "A. Y. Kruger and S. Plubtieng and T. Seangwattana",
title = "{Borwein--Preiss} variational principle revisited",
journal = j-J-MATH-ANAL-APPL,
volume = "435",
number = "2",
pages = "1183--1193",
year = "2016",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2015.11.009",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "49J53 (49J50 58E30)",
MRnumber = "3429635",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022247X15010343",
abstract = "In this article, we refine and slightly strengthen the
metric space version of the Borwein--Preiss variational
principle due to Li and Shi (2000) [12], clarify the
assumptions and conclusions of their Theorem 1 as well
as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and
streamline the proofs. Our main result, Theorem 3 is
formulated in the metric space setting. When reduced to
Banach spaces (Corollary 9), it extends and strengthens
the smooth variational principle established in Borwein
and Preiss (1987) [3] along several directions.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "Borwein Preiss variational principle; Gauge-type
function; Perturbation; Smooth variational principle",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Marchant:2016:PJM,
author = "T. R. Marchant and G. A. Willis",
title = "{Professor Jonathan M. Borwein}",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "101",
number = "03",
pages = "289",
month = nov,
year = "2016",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/s1446788716000641",
ISSN = "0004-9735 (print), 2059-9234 (electronic)",
ISSN-L = "0004-9735",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Australian Mathematical Society",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Morovati:2016:BBM,
author = "Vahid Morovati and Latif Pourkarimi and Hadi
Basirzadeh",
title = "{Barzilai} and {Borwein}'s method for multiobjective
optimization problems",
journal = j-NUMER-ALGORITHMS,
volume = "72",
number = "3",
pages = "539--604",
month = jul,
year = "2016",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-015-0058-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Tue Sep 20 10:57:46 MDT 2016",
bibsource = "http://link.springer.com/journal/11075/72/3;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-015-0058-7",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Shareef:2016:NCG,
author = "Salah Shareef and Alaa Ibrahim",
title = "A New Conjugate Gradient for Unconstrained
Optimization Based on Step Size of {Barzilai} and
{Borwein}",
journal = "Science Journal of University of Zakho",
volume = "4",
number = "1",
pages = "104--114",
month = jun,
year = "2016",
DOI = "https://doi.org/10.25271/2016.4.1.29",
ISSN = "2410-7549 (print), 2414-6943 (electronic)",
ISSN-L = "2410-7549",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://sjuoz.uoz.edu.krd/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Thera:2016:HSH,
author = "Michel Th{\'e}ra",
title = "Homo Sapiens, Homo Ludens",
journal = j-J-OPT-THEORY-APPL,
volume = "172",
pages = "1--8",
day = "29",
month = dec,
year = "2016",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-016-1044-5",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
bibdate = "Wed May 2 09:56:17 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Paper in memory of Jonathan Borwein.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
keywords = "Homo Sapiens, Homo Ludens (Latin) == Thinking Man,
Playing Man (English); Jonathan M. Borwein",
remark = "Check volume/pages assignment? Not yet clear from
publisher Web site on 02 January 2017.",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Viazovska:2016:SPP,
author = "Maryna Viazovska",
title = "The sphere packing problem in dimension $8$",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "1--22",
day = "14",
month = mar,
year = "2016",
bibdate = "Sat Apr 02 06:35:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
URL = "http://arxiv.org/abs/1603.04246",
acknowledgement = ack-nhfb,
}
@Article{Wu:2016:BBL,
author = "Lei Wu and Zhe Sun and Dong-Hui Li",
title = "A {Barzilai--Borwein}-Like Iterative Half Thresholding
Algorithm for the {$ L_{1 / 2} $} Regularized Problem",
journal = j-J-SCI-COMPUT,
volume = "67",
number = "2",
pages = "581--601",
month = may,
year = "2016",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/s10915-015-0094-4",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
bibdate = "Mon May 30 08:54:46 MDT 2016",
bibsource = "http://link.springer.com/journal/10915;
http://link.springer.com/journal/10915/67/2;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
note = "See \cite{Barzilai:1988:TPS} for the original
Barzilai--Borwein work.",
URL = "http://link.springer.com/article/10.1007/s10915-015-0094-4;
http://link.springer.com/content/pdf/10.1007/s10915-015-0094-4.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
journal-URL = "http://link.springer.com/journal/10915",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Zhou:2016:NSM,
author = "QunYan Zhou and WenYu Sun and HongChao Zhang",
title = "A new simple model trust-region method with
generalized {Barzilai--Borwein} parameter for
large-scale optimization",
journal = j-SCI-CHINA-MATH,
volume = "59",
number = "11",
pages = "2265--2280",
month = jul,
year = "2016",
DOI = "https://doi.org/10.1007/s11425-015-0734-2",
ISSN = "1674-7283 (print), 1869-1862 (electronic)",
ISSN-L = "1869-1862",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Science China. Mathematics",
journal-URL = "http://link.springer.com/journal/11425",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2017:JBC,
author = "David H. Bailey",
title = "{Jonathan Borwein} Commemorative Conference[: {25--29
September 2017 in Newcastle, NSW, Australia}]",
howpublished = "Web blog",
day = "6",
month = jun,
year = "2017",
bibdate = "Tue Jun 06 09:05:02 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://mathscholar.org/jonathan-borwein-commemorative-conference",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@TechReport{Bailey:2017:JBEa,
author = "David H. Bailey",
title = "{Jonathan Borwein}: Experimental Mathematician",
type = "Report",
institution = "Department of Computer Science, University of
California, Davis",
address = "Davis, CA 95616, USA",
day = "10",
month = jan,
year = "2017",
DOI = "https://doi.org/10.1080/10586458.2017.1284625",
bibdate = "Mon Feb 27 16:19:39 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.davidhbailey.com/dhbpapers/dhb-jmb-em.pdf;
http://www.tandfonline.com/doi/abs/10.1080/10586458.2017.1284625",
abstract = "Jonathan M. Borwein unexpectedly died on 2 August
2016, in London, Ontario, Canada, where he had been
visiting on leave from home institution, the University
of Newcastle, Australia.\par
Since his death, the present author and Nelson H. F.
Beebe of the University of Utah have been collecting
Borwein's many published papers, books, reports and
talks, as well as a number of articles written by
others (such as book reviews) about Jon and his work.
Our current catalog (available at
http://www.jonborwein.org/jmbpapers/) lists 1745 items,
and the list is certain to grow further. This includes
over 500 published books, journal articles and refereed
conference papers, a prodigious output for any scholar
and especially for a research mathematician. And in an
era when many mathematicians focus on a single
specialty or subspecialty, Borwein did significant
research in a wide range of fields, ranging from
analytic number theory and optimization to biomedical
imaging, math",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bailey:2017:JBEb,
author = "David H. Bailey",
title = "{Jonathan Borwein}: Experimental Mathematician",
journal = j-EXP-MATH,
volume = "26",
number = "2",
pages = "125--129",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2017.1284625",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
MRclass = "01A70; 11Y60; 11Y70",
bibdate = "Thu Mar 16 12:09:45 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/2",
URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2017.1284625",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
keywords = "continued fractions; high-precision computation;
integer relation detection; Ising theory; Poisson
equation",
onlinedate = "27 February 2017",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2017:PCP,
author = "David H. Bailey",
title = "Pi and the collapse of peer review",
howpublished = "MathScholar Web blog.",
day = "20",
month = jul,
year = "2017",
bibdate = "Fri Sep 04 17:44:07 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://mathscholar.org/2017/07/pi-and-the-collapse-of-peer-review/",
acknowledgement = ack-nhfb,
keywords = "Jonathan Borwein; Peter Borwein",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2017:RJB,
author = "David H. Bailey",
title = "Report on the {Jon Borwein} remembrance day meeting in
{Paris} [{10 February 2017}]",
howpublished = "Web blog.",
day = "15",
month = feb,
year = "2017",
bibdate = "Tue Jun 06 09:03:47 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://jonborwein.org/2017/02/report-on-the-jon-borwein-remembrance-day-meeting-in-paris/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Bao:2017:NPBa,
author = "Yanyan Bao and Hongwei Liu",
booktitle = "2017 2nd International Conference on Image, Vision and
Computing ({ICIVC})",
title = "Nonmonotone Projected {Barzilai--Borwein} Method for
Compressed Sensing",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "756--760",
year = "2017",
DOI = "https://doi.org/10.1109/icivc.2017.7984656",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Bao:2017:NPBb,
author = "Yanyan Bao and Hongwei Liu",
booktitle = "2017 International Conference on Smart Grid and
Electrical Automation ({ICSGEA})",
title = "Nonmonotone Projected {Barzilai--Borwein} Method for
Compressed Sensing",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "264--268",
year = "2017",
DOI = "https://doi.org/10.1109/icsgea.2017.173",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Belovas:2017:LTC,
author = "Igoris Belovas and Leonidas Sakalauskas",
title = "Limit theorems for the coefficients of the modified
{Borwein} method for the calculation of the {Riemann}
zeta-function values",
journal = j-COLLOQ-MATH,
year = "2017",
CODEN = "CQMAAQ",
DOI = "https://doi.org/10.4064/cm7086-2-2017",
ISSN = "0010-1354 (print), 1730-6302 (electronic)",
ISSN-L = "0010-1354",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Colloquium Mathematicum",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Borwein:2017:OJM,
author = "Judith Borwein and Naomi Borwein and Brailey Sims",
title = "Obituary: {Jonathan M. Borwein FAAAS, FBAS, FAustMS,
FAA, FAMS, FRSNSW 20 May 1951 to 2 August 2016}",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "44",
number = "5",
pages = "289--293",
month = nov,
year = "2017",
ISSN = "0311-0729 (print), 1326-2297 (electronic)",
ISSN-L = "0311-0729",
MRclass = "01A70",
MRnumber = "3727000",
bibdate = "Wed May 2 09:55:16 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.austms.org.au/Publ/Gazette/2017/Nov17/ObitBorwein.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Australian Mathematical Society. Gazette",
journal-URL = "http://www.austms.org.au/gazette",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@TechReport{Brent:2017:JBP,
author = "Richard P. Brent",
title = "{Jonathan Borwein}, Pi and the {AGM}",
type = "Talk slides",
institution = "Australian National University and CARMA, University
of Newcastle",
address = "Canberra, ACT and Newcastle, NSW, Australia",
pages = "76",
day = "26",
month = sep,
year = "2017",
bibdate = "Fri Sep 04 17:08:54 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "https://carma.newcastle.edu.au/meetings/jbcc/abstracts/pdf/JBCC-Richard_Brent.pdf",
abstract = "We consider some of Jon Borwein s contributions to the
high-precision computation of $ \pi $ and the
elementary functions, with particular reference to the
fascinating book \booktitle{Pi and the AGM}(Wiley,
1987) by Jon and his brother Peter Borwein. Here
``AGM'' is the arithmetic-geometric mean, first studied
by Euler, Gauss and Legendre. Because the AGM has
second-order convergence, it can be combined with fast
multiplication algorithms to give fast algorithms for
the $n$-bit computation of $ \pi $, and more generally
the elementary functions. These algorithms run in
``almost linear' time $ O(M(n) \log n)$, where $ M(n)$
is the time for $n$-bit multiplication. The talk will
survey some of the results and algorithms, from the
time of Archimedes to the present day, that were of
interest to Jon. In several cases they were discovered
or improved by him",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Cosgrave:2017:EGB,
author = "John Cosgrave",
title = "Extension of {Gauss}' binomial coefficient
congruence",
howpublished = "Lecture at Trinity College, Dublin, Ireland.",
year = "2017",
bibdate = "Mon May 28 14:25:48 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Devlin:2017:LJB,
author = "Keith Devlin",
title = "The Legacy of {Jonathan Borwein}",
howpublished = "Web blog.",
day = "20",
month = sep,
year = "2017",
bibdate = "Thu Oct 31 18:58:55 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://devlinsangle.blogspot.com/2017/09/the-legacy-of-jonathan-borwein.html",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Ganz:2017:RRC,
author = "Reinhard E. Ganz",
title = "Reply to {``Reproducibility in Computational Science:
A Case Study: Randomness of the Digits of Pi'' [Bailey
et al. 17]}",
journal = j-EXP-MATH,
volume = "26",
number = "3",
pages = "306--307",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2016.1173413",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Tue Jun 6 09:17:18 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/3",
note = "See \cite{Bailey:2017:RCS}.",
URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1173413",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "24 Aug 2016",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Guillera:2017:SRB,
author = "Jes{\'u}s Guillera",
title = "Self-replication and {Borwein}-like algorithms",
journal = j-RAMANUJAN-J,
month = aug,
year = "2017",
DOI = "https://doi.org/10.1007/s11139-017-9927-0",
ISSN = "1382-4090 (print), 1572-9303 (electronic)",
ISSN-L = "1382-4090",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "The {Ramanujan} Journal",
journal-URL = "http://link.springer.com/journal/11139",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InCollection{Hirschhorn:2017:CTF,
author = "Michael D. Hirschhorn",
booktitle = "The Power of $q$",
title = "The Cubic Theta-Function Analogues of {Borwein},
{Borwein} and {Garvan}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "185--203",
year = "2017",
DOI = "https://doi.org/10.1007/978-3-319-57762-3_22",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Iannazzo:2017:RBB,
author = "Bruno Iannazzo and Margherita Porcelli",
title = "The {Riemannian Barzilai--Borwein} method with
nonmonotone line search and the matrix geometric mean
computation",
journal = j-IMA-J-NUMER-ANAL,
volume = "38",
number = "1",
pages = "495--517",
month = apr,
year = "2017",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drx015",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kruger:2017:BPV,
author = "A. Y. Kruger and S. Plubtieng and T. Seangwattana",
title = "{Borwein--Preiss} vector variational principle",
journal = j-POSITIVITY,
month = jan,
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11117-017-0466-0",
ISSN = "1385-1292 (print), 1572-9281 (electronic)",
ISSN-L = "1385-1292",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Positivity",
journal-URL = "https://link.springer.com/journal/11117",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Nosratipour:2017:ANG,
author = "Hadi Nosratipour and Omid Solaymani Fard and Akbar
Hashemi Borzabadi",
title = "An adaptive nonmonotone global {Barzilai--Borwein}
gradient method for unconstrained optimization",
journal = j-OPTIMIZATION,
volume = "66",
number = "4",
pages = "641--655",
month = feb,
year = "2017",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331934.2017.1287702",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Nosratipour:2017:OCV,
author = "Hadi Nosratipour and Omid Solaymani Fard and Akbar
Hashemi Borzabadi",
title = "Optimal control of viscous {Burgers} equation via an
adaptive nonmonotone {Barzilai--Borwein} gradient
method",
journal = j-INT-J-COMPUT-MATH,
pages = "1--16",
month = jun,
year = "2017",
CODEN = "IJCMAT",
DOI = "https://doi.org/10.1080/00207160.2017.1343472",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
journal-URL = "http://www.tandfonline.com/loi/gcom20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Swedroe:2017:SGF,
author = "Larry Swedroe",
title = "{Swedroe}: Grading The Forecasters",
howpublished = "Web blog.",
day = "28",
month = jul,
year = "2017",
bibdate = "Fri Jul 28 17:20:08 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.etf.com/sections/index-investor-corner/swedroe-grading-forecasters",
acknowledgement = ack-nhfb,
remark = "Comments on \cite{Bailey:2017:ERM}.",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Apkarian:2018:NSO,
author = "Pierre Apkarian and Dominikus Noll and Laleh
Ravanbod",
title = "Non-Smooth Optimization for Robust Control of
Infinite-Dimensional Systems",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "405--429",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0453-4",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0453-4",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Artacho:2018:SGC,
author = "Francisco J. Arag{\'o}n Artacho and Rub{\'e}n Campoy",
title = "Solving Graph Coloring Problems with the
{Douglas--Rachford} Algorithm",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "277--304",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0461-4",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0461-4",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Arutyunov:2018:SPN,
author = "A. V. Arutyunov and A. F. Izmailov",
title = "Stability of Possibly Nonisolated Solutions of
Constrained Equations, with Applications to
Complementarity and Equilibrium Problems",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "327--352",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0459-y",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0459-y",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bauschke:2018:Pa,
author = "Heinz H. Bauschke and Boris S. Mordukhovich and
Claudia S. Sagastiz{\'a}bal and Michel A. Th{\'e}ra",
title = "Preface",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "1--4",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-018-0473-8",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-018-0473-8;
https://link.springer.com/content/pdf/10.1007/s11228-018-0473-8.pdf",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bauschke:2018:Pb,
author = "Heinz H. Bauschke and Boris S. Mordukhovich and
Claudia S. Sagastiz{\'a}bal and Michel A. Th{\'e}ra",
title = "Preface",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "205--206",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-018-0484-5",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-018-0484-5;
https://link.springer.com/content/pdf/10.1007/s11228-018-0484-5.pdf",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Beer:2018:UCN,
author = "Gerald Beer and M. Isabel Garrido and Ana S.
Mero{\~n}o",
title = "Uniform Continuity and a New Bornology for a Metric
Space",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "49--65",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0429-4",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0429-4",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{BoAa:2018:ANN,
author = "Radu Ioan Bo{\c{t}} and Ern{\"o} Robert Csetnek",
title = "Approaching Nonsmooth Nonconvex Optimization Problems
Through First Order Dynamical Systems with Hidden
Acceleration and {Hessian} Driven Damping Terms",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "227--245",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0411-1",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0411-1;
https://link.springer.com/content/pdf/10.1007/s11228-017-0411-1.pdf",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bonnefond:2018:NMP,
author = "Xavier Bonnefond and Pierre Mar{\'e}chal and Walter
Cedric and Simo Tao Lee",
title = "A Note on the {Morozov} Principle via {Lagrange}
Duality",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "265--275",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-018-0470-y",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-018-0470-y",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Borwein:2018:DDR,
author = "Jonathan M. Borwein and Scott B. Lindstrom and Brailey
Sims and Anna Schneider and Matthew P. Skerritt",
title = "Dynamics of the {Douglas--Rachford} Method for
Ellipses and $p$-Spheres",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "385--403",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0457-0",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
MRclass = "47J25 (49M30 65Q30 90C26)",
MRnumber = "3803989",
MRreviewer = "Radu Ioan Bo{\c{t}}",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0457-0",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Burachik:2018:BTD,
author = "Regina S. Burachik and Juan E. Mart{\'\i}nez-Legaz",
title = "On {Bregman}-Type Distances for Convex Functions and
Maximally Monotone Operators",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "369--384",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0443-6",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0443-6",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Chieu:2018:SCS,
author = "N. H. Chieu and J. W. Feng and W. Gao and G. Li and D.
Wu",
title = "{SOS-Convex} Semialgebraic Programs and its
Applications to Robust Optimization: A Tractable Class
of Nonsmooth Convex Optimization",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "305--326",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0456-1",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0456-1",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Combettes:2018:PFP,
author = "Patrick L. Combettes",
title = "Perspective Functions: Properties, Constructions, and
Examples",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "247--264",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0407-x",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0407-x",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Cotrina:2018:EPE,
author = "John Cotrina and Yboon Garc{\'\i}a",
title = "Equilibrium Problems: Existence Results and
Applications",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "159--177",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0451-6",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0451-6",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Daniilidis:2018:PAD,
author = "Aris Daniilidis and Colin Petitjean",
title = "A Partial Answer to the {Demyanov--Ryabova}
Conjecture",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "143--157",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0439-2",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0439-2",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Garcia-Lirola:2018:MRN,
author = "Luis Garc{\'\i}a-Lirola and Mat{\'\i}as Raja",
title = "Maps with the {Radon--Nikod{\'y}m} Property",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "77--93",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0428-5",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0428-5",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Giladi:2018:RCD,
author = "Ohad Giladi",
title = "A Remark on the Convergence of the {Douglas--Rachford}
Iteration in a Non-convex Setting",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "207--225",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-018-0477-4",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-018-0477-4",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Iannazzo:2018:RBB,
author = "Bruno Iannazzo and Margherita Porcelli",
title = "The {Riemannian Barzilai--Borwein} method with
nonmonotone line search and the matrix geometric mean
computation",
journal = j-IMA-J-NUMER-ANAL,
volume = "38",
number = "1",
pages = "495--517",
day = "25",
month = jan,
year = "2018",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drx015",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
bibdate = "Mon Oct 15 18:47:19 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
URL = "http://academic.oup.com/imajna/article/38/1/495/3573895",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Kruger:2018:AIT,
author = "Alexander Y. Kruger",
title = "About Intrinsic Transversality of Pairs of Sets",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "111--142",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0446-3",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0446-3",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Lassonde:2018:USF,
author = "Marc Lassonde",
title = "Upper Semismooth Functions and the Subdifferential
Determination Property",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "95--109",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0467-y",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0467-y",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Lauster:2018:SCM,
author = "Florian Lauster and D. Russell Luke and Matthew K.
Tam",
title = "Symbolic Computation with Monotone Operators",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "2",
pages = "353--368",
month = jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0418-7",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:39:09 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0418-7",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
2).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2018:NAB,
author = "Ting Li and Zhong Wan",
title = "New adaptive {Barzilai--Borwein} step size and its
application in solving large-scale optimization
problems",
journal = j-ANZIAM-J,
volume = "61",
number = "1",
pages = "76--98",
month = dec,
year = "2018",
CODEN = "AJNOA2",
DOI = "https://doi.org/10.1017/s1446181118000263",
ISSN = "1446-1811 (print), 1446-8735 (electronic)",
ISSN-L = "1446-1811",
bibdate = "Fri Apr 26 15:54:55 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "The ANZIAM Journal",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2018:NOC,
author = "An Li and Jane J. Ye",
title = "Necessary Optimality Conditions for Implicit Control
Systems with Applications to Control of Differential
Algebraic Equations",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "179--203",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0444-5",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0444-5",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Momeni:2018:NCG,
author = "M. Momeni and M. R. Peyghami",
title = "A new conjugate gradient algorithm with cubic
{Barzilai--Borwein} stepsize for unconstrained
optimization",
journal = j-OPTIM-METHODS-SOFTW,
volume = "??",
number = "??",
pages = "1--15",
month = jan,
year = "2018",
DOI = "https://doi.org/10.1080/10556788.2017.1414813",
ISSN = "1055-6788",
ISSN-L = "1026-7670",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods and Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Moors:2018:NCS,
author = "Warren B. Moors",
title = "Nearly {Chebyshev} Sets are Almost Convex",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "67--76",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0445-4",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0445-4",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Pospisil:2018:PBB,
author = "Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il and Zden{\v{e}}k
Dost{\'a}l",
title = "The projected {Barzilai--Borwein} method with
fall-back for strictly convex {QCQP} problems with
separable constraints",
journal = j-MATH-COMP-SIM,
volume = "145",
pages = "79--89",
month = mar,
year = "2018",
CODEN = "MCSIDR",
DOI = "https://doi.org/10.1016/j.matcom.2017.10.003",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
ISSN-L = "0378-4754",
bibdate = "Fri Feb 9 09:25:58 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics and Computers in Simulation",
journal-URL = "http://www.sciencedirect.com/science/journal/03784754",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Reich:2018:CMU,
author = "Simeon Reich and Alexander J. Zaslavski",
title = "Contractive Mappings on Unbounded Sets",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "27--47",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0430-y",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0430-y",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Simons:2018:QMM,
author = "Stephen Simons",
title = "Quasidense Monotone Multifunctions",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
number = "1",
pages = "5--26",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11228-017-0434-7",
ISSN = "1877-0533 (print), 1877-0541 (electronic)",
ISSN-L = "1877-0533",
bibdate = "Wed May 30 06:38:59 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://link.springer.com/article/10.1007/s11228-017-0434-7",
acknowledgement = ack-nhfb,
fjournal = "Set-Valued and Variational Analysis",
journal-URL = "http://link.springer.com/journal/11228",
remark = "Special issue: A tribute to Jonathan Borwein (Part
1).",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Li:2019:NAB,
author = "Ting Li and Zhong Wan",
title = "New adaptive {Barzilai--Borwein} step size and its
application in solving large-scale optimization
problems",
journal = j-ANZIAM-J,
volume = "61",
number = "1",
pages = "76--98",
month = jan,
year = "2019",
CODEN = "AJNOA2",
DOI = "https://doi.org/10.1017/S1446181118000263",
ISSN = "1446-1811 (print), 1446-8735 (electronic)",
ISSN-L = "1446-1811",
bibdate = "Fri Apr 26 16:14:14 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
URL = "https://www.cambridge.org/core/journals/anziam-journal/article/new-adaptive-barzilaiborwein-step-size-and-its-application-in-solving-largescale-optimization-problems/ACD9681C2B8C9F20A84A62658C3DEAB8",
acknowledgement = ack-nhfb,
ajournal = "ANZIAM J.",
fjournal = "The ANZIAM Journal. The Australian \& New Zealand
Industrial and Applied Mathematics Journal",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
onlinedate = "03 December 2018",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Altman:2020:HAE,
author = "Morris Altman",
title = "A Holistic Approach to Empirical Analysis: The
Insignificance of {$P$}, Hypothesis Testing and
Statistical Significance*",
crossref = "Bailey:2020:AVC",
pages = "233--253",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_16",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{An:2020:NCS,
author = "Congpei An and Yuchen Xiao",
title = "Numerical construction of spherical $t$-designs by
{Barzilai--Borwein} method",
journal = j-APPL-NUM-MATH,
volume = "150",
number = "??",
pages = "295--302",
month = apr,
year = "2020",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue May 12 18:18:53 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927419302831",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@InProceedings{Assis:2020:OTT,
author = "Michael Assis and Michael Donovan",
title = "Origami as a Teaching Tool for Indigenous Mathematics
Education",
crossref = "Bailey:2020:AVC",
pages = "171--188",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_12",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Baake:2020:BCL,
author = "Michael Baake and Michael Coons and Neil Ma{\~n}ibo",
title = "Binary Constant-Length Substitutions and {Mahler}
Measures of {Borwein} Polynomials",
crossref = "Bailey:2020:AVC",
pages = "303--322",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_20",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Bailey:2020:I,
author = "David H. Bailey and Qiji J. Zhu",
title = "Introduction",
crossref = "Bailey:2020:AVC",
pages = "229--231",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_15",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Misc{Bailey:2020:PBD,
author = "David H. Bailey",
title = "{Peter Borwein} dies at 67",
howpublished = "MathScholar Web blog.",
day = "29",
month = aug,
year = "2020",
bibdate = "Fri Sep 04 17:46:10 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "https://mathscholar.org/2020/08/peter-borwein-dies-at-67/",
acknowledgement = ack-nhfb,
keywords = "Jonathan Borwein; Peter Borwein",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Peter Benjamin Borwein (10 May 1953--23 August
2020)",
}
@InProceedings{Borwein:2020:ELJ,
author = "Naomi Simone Borwein and Judy-anne Heather Osborn",
title = "On the Educational Legacies of {Jonathan M. Borwein}",
crossref = "Bailey:2020:AVC",
pages = "103--131",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_7",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Borwein:2020:I,
author = "Naomi Simone Borwein",
title = "Introduction",
crossref = "Bailey:2020:AVC",
pages = "101--102",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_6",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Brent:2020:BBP,
author = "Richard P. Brent",
title = "The {Borwein} Brothers, Pi and the {AGM}",
crossref = "Bailey:2020:AVC",
pages = "323--347",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_21",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Brent:2020:I,
author = "Richard P. Brent",
title = "Introduction",
crossref = "Bailey:2020:AVC",
pages = "299--302",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_19",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Burachik:2020:I,
author = "Regina S. Burachik and Guoyin Li",
title = "Introduction",
crossref = "Bailey:2020:AVC",
pages = "3--5",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_1",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Calude:2020:RQC,
author = "Cristian S. Calude and Elena Calude",
title = "The Road to Quantum Computational Supremacy",
crossref = "Bailey:2020:AVC",
pages = "349--367",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_22",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Campbell:2020:HP,
author = "John M. Campbell and Jacopo D'Aurizio and Jonathan
Sondow",
title = "Hypergeometry of the Parbelos",
journal = j-AMER-MATH-MONTHLY,
volume = "127",
number = "1",
pages = "23--32",
year = "2020",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2020.1669403",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:45 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
abstract = "In the December 2013 issue of this Monthly, Sondow
introduced a parabolic analog of the classical arbelos
figure called the parbelos. He found that the ratio of
the perimeter of an arbitrary parbelos to that of the
corresponding arbelos is a constant $S$ that has an
elegant symbolic evaluation involving $ 1 / \pi $ and
the universal parabolic constant. Using the On-Line
Encyclopedia of Integer Sequences, in 2016 Campbell
experimentally discovered a hypergeometric formula for
$S$. Zudilin then proved the formula, using recent
results of Borwein, Borwein, Glasser, and Wan on the
moments of Ramanujan's generalized elliptic integrals.
In the present article, we offer a variety of new
proofs of Campbell's hypergeometric formula for the
parbelos constant $S$, including a creative proof that
makes use of a Fourier--Legendre expansion.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "19 Dec 2019",
}
@InProceedings{Chan:2020:RWT,
author = "Eunice Y. S. Chan and Robert M. Corless",
title = "A Random Walk Through Experimental Mathematics",
crossref = "Bailey:2020:AVC",
pages = "203--226",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_14",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Crisci:2020:SPB,
author = "Serena Crisci and Federica Porta and Valeria Ruggiero
and Luca Zanni",
title = "Spectral Properties of {Barzilai--Borwein} Rules in
Solving Singly Linearly Constrained Optimization
Problems Subject to Lower and Upper Bounds",
journal = j-SIAM-J-OPT,
volume = "30",
number = "2",
pages = "1300--1326",
month = "????",
year = "2020",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/19M1268641",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
bibdate = "Fri Mar 12 11:19:05 MST 2021",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/30/2;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
onlinedate = "January 2020",
}
@InProceedings{Devlin:2020:HML,
author = "Keith Devlin",
title = "How Mathematicians Learned to Stop Worrying and Love
the Computer",
crossref = "Bailey:2020:AVC",
pages = "133--139",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_8",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{DiazMillan:2020:CAR,
author = "Reinier {D{\'\i}az Mill{\'a}n} and Scott B. Lindstrom
and Vera Roshchina",
title = "Comparing Averaged Relaxed Cutters and Projection
Methods: Theory and Examples",
crossref = "Bailey:2020:AVC",
pages = "75--98",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_5",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Dilcher:2020:NIB,
author = "Karl Dilcher",
title = "Nonlinear Identities for {Bernoulli} and {Euler}
Polynomials",
crossref = "Bailey:2020:AVC",
pages = "369--376",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_23",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Dinh:2020:CRS,
author = "Nguyen Dinh and Miguel A. Goberna and Marco A.
L{\'o}pez and Michel Volle",
title = "Characterizations of Robust and Stable Duality for
Linearly Perturbed Uncertain Optimization Problems",
crossref = "Bailey:2020:AVC",
pages = "43--74",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_4",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Dolgov:2020:PCI,
author = "Sergey Dolgov and Dmitry Savostyanov",
title = "Parallel cross interpolation for high-precision
calculation of high-dimensional integrals",
journal = j-COMP-PHYS-COMM,
volume = "246",
number = "??",
pages = "Article 106869",
month = jan,
year = "2020",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2019.106869",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Oct 29 14:07:57 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2020.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465519302565",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Cross interpolation; High precision; High-dimensional
integration; Ising integrals; Ising model; Monte Carlo
integration; Parallel algorithms; quasi Monte Carlo
integration; Tensor train format",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "See \cite{Bailey:2006:IIC,Bailey:2015:HPA}.",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Goos:2020:CBF,
author = "Merrilyn Goos",
title = "Crossing Boundaries: Fostering Collaboration Between
Mathematics Educators and Mathematicians in Initial
Teacher Education Programmes",
crossref = "Bailey:2020:AVC",
pages = "141--148",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_9",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Holmes:2020:MEC,
author = "Kathryn Holmes",
title = "Mathematics Education in the Computational Age:
Challenges and Opportunities",
crossref = "Bailey:2020:AVC",
pages = "149--152",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_10",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Hussain:2020:MTS,
author = "Mumtaz Hussain and Seyyed Hassan Mahboubi and Abolfazl
Seyed Motahari",
title = "Metrical Theory for Small Linear Forms and
Applications to Interference Alignment",
crossref = "Bailey:2020:AVC",
pages = "377--393",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_24",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Jungic:2020:DVM,
author = "Damir Jungi{\'c} and Veselin Jungi{\'c}",
title = "Dynamic Visual Models: Ancient Ideas and New
Technologies",
crossref = "Bailey:2020:AVC",
pages = "189--201",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_13",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Phillips:2020:MEI,
author = "Collin Phillips and Fu Ken Ly",
title = "Mathematics Education for Indigenous Students in
Preparation for Engineering and Information
Technologies",
crossref = "Bailey:2020:AVC",
pages = "153--169",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_11",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Platt:2020:IBB,
author = "Dave Platt and Tim Trudgian",
title = "Improved Bounds on {Brun}'s Constant",
crossref = "Bailey:2020:AVC",
pages = "395--406",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_25",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Rockafellar:2020:RUD,
author = "R. Tyrrell Rockafellar",
title = "Risk and Utility in the Duality Framework of Convex
Analysis",
crossref = "Bailey:2020:AVC",
pages = "21--42",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_3",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Skerritt:2020:EPA,
author = "Matthew P. Skerritt and Paul Vrbik",
title = "Extending the {PSLQ} Algorithm to Algebraic Integer
Relations",
crossref = "Bailey:2020:AVC",
pages = "407--421",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_26",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@InProceedings{Straub:2020:SWA,
author = "Armin Straub and Wadim Zudilin",
title = "Short Walk Adventures",
crossref = "Bailey:2020:AVC",
pages = "423--439",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4_27",
bibdate = "Tue Apr 21 10:54:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
}
@Article{Bailey:2021:ISI,
author = "David H. Bailey and Scott Chapman",
title = "Introduction to the Special Issue",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "772--772",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1957643",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Bailey:2021:JBR,
author = "David H. Bailey",
title = "{Jonathan Borwein}: {Renaissance} Mathematician",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "773--779",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1957618",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Bauschke:2021:EAA,
author = "Heinz H. Bauschke and Sylvain Gretchko and Walaa M.
Moursi and Matthew Saurette",
title = "{Edelstein}'s Astonishing Affine Isometry",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "796--809",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1962151",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Calkin:2021:WNM,
author = "Neil J. Calkin and Killian Davis and Evan Haithcock
and Catherine M. Kenyon and Sylvia Wu",
title = "What {Newton} Might Have Known: Experimental
Mathematics in the Classroom",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "845--855",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1964274",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Chamberland:2021:ALE,
author = "Marc Chamberland and Armin Straub",
title = "{Ap{\'e}ry} Limits: Experiments and Proofs",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "811--824",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1962153",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Chen:2021:BBG,
author = "Yannan Chen and Xinzhen Zhang and Yanwei Xu",
title = "A {Barzilai--Borwein} Gradient Algorithm for
Spatio-Temporal {Internet} Traffic Data Completion via
Tensor Triple Decomposition",
journal = j-J-SCI-COMPUT,
volume = "88",
number = "3",
pages = "65:1--65:24",
month = sep,
year = "2021",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/s10915-021-01574-0",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
bibdate = "Thu Feb 17 08:56:50 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
URL = "https://link.springer.com/article/10.1007/s10915-021-01574-0",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
journal-URL = "http://link.springer.com/journal/10915",
}
@Article{dePrado:2021:FST,
author = "Marcos L{\'o}pez de Prado and David H. Bailey",
title = "The False Strategy Theorem: A Financial Application of
Experimental Mathematics",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "825--831",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1965068",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Dilcher:2021:ACC,
author = "Karl Dilcher",
title = "Analytic Continuations of Character and Alternating
{Tornheim} Zeta Functions",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "780--795",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1957617",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Huang:2021:EBB,
author = "Ya-Kui Huang and Yu-Hong Dai and Xin-Wei Liu",
title = "Equipping the {Barzilai--Borwein} Method with the Two
Dimensional Quadratic Termination Property",
journal = j-SIAM-J-OPT,
volume = "31",
number = "4",
pages = "3068--3096",
month = "????",
year = "2021",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/21M1390785",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
bibdate = "Wed Jan 19 07:53:35 MST 2022",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/31/4;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
onlinedate = "January 2021",
}
@Article{Jungic:2021:EMM,
author = "Veselin Jungi{\'c} and Andrijana Burazin",
title = "On Experimental Mathematics and Mathematics
Education",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "832--844",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1964275",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Li:2021:DSP,
author = "Pei Heng Li and Hee Yong Youn",
title = "Distributed stochastic principal component analysis
using stabilized {Barzilai--Borwein} step-size for data
compression with {WSN}",
journal = j-J-SUPERCOMPUTING,
volume = "77",
number = "10",
pages = "11032--11051",
month = oct,
year = "2021",
CODEN = "JOSUED",
DOI = "https://doi.org/10.1007/s11227-021-03707-6",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibdate = "Mon Feb 28 16:44:30 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jsuper.bib",
URL = "https://link.springer.com/article/10.1007/s11227-021-03707-6",
acknowledgement = ack-nhfb,
ajournal = "J. Supercomputing",
fjournal = "The Journal of Supercomputing",
journal-URL = "http://link.springer.com/journal/11227",
}
@Article{Ponomarenko:2021:YAMi,
author = "Edited by Vadim Ponomarenko",
title = "100 Years Ago This Month in {{\booktitle{The American
Mathematical Monthly}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "855--855",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1962152",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Stoica:2021:ICC,
author = "George Stoica and Yousef Wardat",
title = "An Inequality Can Change Everything \ldots{}",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "810--810",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1949218",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Ullman:2021:PSi,
author = "Daniel H. Ullman and Daniel J. Velleman and Douglas B.
West and Paul Bracken and Ezra A. Brown and Zachary
Franco and George Gilbert and L{\'a}szl{\'o} Lipt{\'a}k
and Rick Luttmann and Hosam Mahmoud and Frank B. Miles
and Lenhard Ng and Rajesh Pereira and Kenneth Stolarsky
and Richard Stong and Stan Wagon and Lawrence
Washington and Li Zhou",
title = "Problems and Solutions",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "9",
pages = "856--864",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1964307",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:49 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "05 Nov 2021",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Special issue in memory of Jonathan Borwein.",
}
@Article{Azmi:2022:CMI,
author = "Behzad Azmi and Karl Kunisch",
title = "On the convergence and mesh-independent property of
the {Barzilai--Borwein} method for {PDE}-constrained
optimization",
journal = j-IMA-J-NUMER-ANAL,
volume = "42",
number = "4",
pages = "2984--3021",
month = oct,
year = "2022",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drab056",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
bibdate = "Sat Oct 22 11:06:50 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
URL = "http://academic.oup.com/imajna/article/42/4/2984/6340562",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Zhang:2022:BBR,
author = "Yaling Zhang and Hongwei Liu",
title = "A {Barzilai} and {Borwein} regularization feasible
direction algorithm for convex nonlinear {SOC}
programming with linear constraints",
journal = j-J-COMPUT-APPL-MATH,
volume = "401",
number = "??",
pages = "1--15",
month = feb,
year = "2022",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2021.113781",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Mon Jan 31 08:48:37 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042721004039",
acknowledgement = ack-nhfb,
articleno = "113781",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Bradshaw:2024:DIV,
author = "Zachary P. Bradshaw and Christophe Vignat",
title = "Dubious Identities: a Visit to the {Borwein} Zoo",
journal = j-AMER-MATH-MONTHLY,
volume = "131",
number = "5",
pages = "400--416",
year = "2024",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2024.2309099",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon May 20 05:45:12 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
note = "See \cite{Borwein:1992:SSH}.",
abstract = "We contribute to the zoo of dubious identities
established by J. M. and P. B. Borwein in their 1992
paper, ``Strange Series and High Precision Fraud'' with
five new entries, each of a different variety than the
last. Some of these identities are again a high
precision fraud and picking out the true from the bogus
can be a challenging task with many unexpected twists
along the way.\par
This work is dedicated to the Borwein family,
mathematicians extraordinaire with a propensity for the
implausible.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "22 Feb 2024",
}
@Article{Jalilian:2024:TVM,
author = "Hamed Jalilian",
title = "Total variation method based on modified
{Barzilai--Borwein} algorithm to noise reduction in
{MRI} images",
journal = j-J-SUPERCOMPUTING,
volume = "80",
number = "1",
pages = "601--619",
month = jan,
year = "2024",
CODEN = "JOSUED",
DOI = "https://doi.org/10.1007/s11227-023-05500-z",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibdate = "Thu Feb 15 10:23:12 MST 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/jsuper2020.bib",
URL = "https://link.springer.com/article/10.1007/s11227-023-05500-z",
acknowledgement = ack-nhfb,
ajournal = "J. Supercomputing",
fjournal = "The Journal of Supercomputing",
journal-URL = "http://link.springer.com/journal/11227",
}
@Proceedings{Schaible:1981:CCP,
editor = "Siegfried Schaible and William T. Ziemba",
booktitle = "Generalized Concavity in Optimization and Economics",
title = "Generalized Concavity in Optimization and Economics",
organization = "NATO conference",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiv + 767",
year = "1981",
ISBN = "0-12-621120-5",
ISBN-13 = "978-0-12-621120-7",
LCCN = "QA402.5 .G45",
bibdate = "Mon Mar 6 22:00:29 MST 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
note = "Papers presented at the proceedings of the NATO
Advance Study Institute held at the University of
British Columbia, Vancouver, Canada, August 4--15,
1980.",
}
@Proceedings{Singh:1984:ATS,
editor = "S. P. Singh and J. W. H. Burry and B. Watson",
booktitle = "{Approximation Theory and Spline Functions. NATO
Advanced Study Institute held at Memorial University of
Newfoundland during August 22--September 2, 1983}",
title = "{Approximation Theory and Spline Functions. NATO
Advanced Study Institute held at Memorial University of
Newfoundland during August 22--September 2, 1983}",
volume = "136",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 485",
year = "1984",
DOI = "https://doi.org/10.1007/978-94-009-6466-2",
ISBN = "94-009-6466-8, 94-009-6468-4",
ISBN-13 = "978-94-009-6466-2, 978-94-009-6468-6",
ISSN = "1389-2185",
LCCN = "????",
bibdate = "Tue Aug 16 11:51:58 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
series = "NATO ASI Series, Series C: Mathematical and Physical
Sciences",
acknowledgement = ack-nhfb,
remark = "A NATO Advanced Study Institute on Approximation
Theory and Spline Functions was held at Memorial
University of Newfoundland during August 22--September
2, 1983. This volume consists of the Proceedings of
that Institute. These Proceedings include the main
invited talks and contributed papers given during the
Institute. The aim of these lectures was to bring
together Mathematicians, Physicists and Engineers
working in the field. The lectures covered a wide range
including Multivariate Approximation, Spline Functions,
Rational Approximation, Applications of Elliptic
Integrals and Functions in the Theory of Approximation,
and Pad{\'e} Approximation. We express our sincere
thanks to Professors E. W. Cheney, J. Meinguet, J. M.
Phillips and H. Werner, members of the International
Advisory Committee. We also extend our thanks to the
main speakers and the invited speakers, whose
contributions made these Proceedings complete. The
Advanced Study Institute was financed by the NATO
Scientific Affairs Division. We express our thanks for
the generous support. We wish to thank members of the
Department of Mathematics and Statistics at Memorial
University who willingly helped with the planning and
organizing of the Institute. Special thanks go to Mrs.
Mary Pike who helped immensely in the planning and
organizing of the Institute, and to Miss Rosalind Genge
for her careful and excellent typing of the manuscript
of these Proceedings.",
subject = "Analysis; Approximations and Expansions; Global
analysis (Mathematics); Mathematics",
tableofcontents = "Front Matter / i--ix \\
Products of Polynomials / Bernard Beauzamy / 1--22 \\
Exchange Algorithms, Error Estimations and Strong
Unicity in Convex Programming and Chebyshev
Approximation / Hans-Peter Blatt / 23--63 \\
Four Lectures on Multivariate Approximation / E. W.
Cheney / 65--87 \\
The Approximation of Certain Functions by Compound
Means / D. M. E. Foster, G. M. Phillips / 89--95 \\
A Practical Method for Obtaining a Priori Error Bounds
in Pointwise and Mean-Square Approximation Problems /
Jean Meinguet / 97--125 \\
Surface Spline Interpolation: Basic Theory and
Computational Aspects / Jean Meinguet / 127--142 \\
Interpolation of Scattered Data: Distance Matrices and
Conditionally Positive Definite Functions / Charles A.
Micchelli / 143--145 \\
Semi-Norms in Polynomial Approximation / G. M.
Phillips, P. J. Taylor / 147--150 \\
On Spaces of Piecewise Polynomials in Two Variables /
Larry L. Schumaker / 151--197 \\
Birkhoff Interpolation on the Roots of Unity / A.
Sharma / 199--205 \\
Applications of Transformation Theory: A Legacy from
Zolotarev (1847--1878) / John Todd / 207--245 \\
Explicit Algebraic Nth Order Approximations to PI / J.
M. Borwein, P. B. Borwein / 247--256 \\
Solving Integral Equations of Nuclear Scattering by
Splines / M. Brannigan / 257--264 \\
$H$-Sets for Non-Linear Constrained Approximation / M.
Brannigan / 265--270 \\
Operator Pad{\'e} Approximants: Some ideas behind the
theory and a numerical illustration / Annie A. H. Cuyt
/ 271--288 \\
Harmonic Approximation / Myron Goldstein / 289--292 \\
Best Harmonic L1 Approximation to Subharmonic Functions
/ M. Goldstein, W. Haussman, K. Jetter / 293--295 \\
B-Splines on the Circle and Trigonometric B-Splines /
T. N. T. Goodman, S. L. Lee / 297--325 \\
On Reducing the Computational Error in the Successive
Approximations Method / Fran{\c{c}}ois B. Gu{\'e}nard /
327--338 \\
Lebesgue Constants Determined by Extremal Sets / Myron
S. Henry / 339--348 \\
Error Bounds for Interpolation by Fourth Order
Trigonometric Splines / P. E. Koch / 349--360 \\
Approximation of Derivatives in $\mathbb{R}^n$
Application: Construction of Surfaces in $\mathbb{R}^2$
/ Alain Le Mehaute / 361--378 \\
Meromorphic Functions, Maps and Their Rational
Approximants in $\mathbb{C}^n$ / C. H. Lutterodt /
379--396 \\
Splines and Collocation for Ordinary Initial Value
Problems / Syvert P. Norsett / 397--417 \\
Degree of Approximation of Quasi-Hermite--Fej{\'e}r
Interpolation Based on Jacobi Abscissas $P_n(\alpha,
\alpha) (x)$ / J. Prasad, A. K. Varma / 419--440 \\
Using Inclusion Theorems to Establish the Summability
of Orthogonal Series / B. E. Rhoades / 441--453 \\
On Projections in Approximation Theory / Boris
Shekhtman / 455--466 \\
A Survey of Exterior Asymptotics for Orthogonal
Polynomials Associated with a Finite Interval and a
Study of the Case of the General Weight Measures /
Joseph L. Ullman / 467--478 \\ / Back Matter /
479--485",
}
@Proceedings{Andrews:1988:RRP,
editor = "George E. Andrews and Richard A. Askey and Bruce C.
Berndt and K. G. Ramanathan and Robert A. Rankin and
others",
booktitle = "{Ramanujan revisited: proceedings of the centenary
conference, University of Illinois at Urbana-Champaign,
June 1--5, 1987}",
title = "{Ramanujan revisited: proceedings of the centenary
conference, University of Illinois at Urbana-Champaign,
June 1--5, 1987}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xx + 609",
year = "1988",
ISBN = "0-12-058560-X",
ISBN-13 = "978-0-12-058560-1",
LCCN = "QA1 .R26 1987",
MRclass = "11A07 11F27 11F35 11K65 11N37",
bibdate = "Fri Sep 2 17:59:26 MDT 2022",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
meetingname = "Ramanujan Centenary Conference (1987: University of
Illinois at Urbana-Champaign)",
remark = "Twenty-eight eminent speakers presented expository
talks at the Ramanujan Centenary Conference.",
subject = "Mathematics; Congresses; Ramanujan Aiyangar,
Srinivasa",
subject-dates = "Ramanujan (1887--1920)",
tableofcontents = "List of Participants / xi \\
Preface / xix \\
On Ramanujan / S. Chandrasekhar / 1 \\
A Walk Through Ramanujan's Garden / Freeman J. Dyson /
7 \\
Combinatorial Interpretations of Ramanujan's Partition
Congruences / F. G. Garvan / 29 \\
Ramanujan's Fifth Order Mock Theta Functions as
Constant Terms / George E. Andrews / 47 \\
The Bailey Lattice: An Introduction / D. M. Bressoud /
57 \\
Ramanujan's Identities in Statistical Mechanics / R. J.
Baxter / 69 \\
Specialized Characters for Affine Lie Algebras and the
Rogers--Ramajnaun Identities / Kailash C. Misra / 85
\\
The Exact Formula for the Weight Multiplicities of
Affine Lie Algebras, I / C. J. Moreno and A.
Rocha-Caridi / 111 \\
Probabilistic Number Theory / Hubert Delange / 153 \\
On the Number of Prime Factors of an Integer / Adolf
Hildebrand / 167 \\
Ramanujan Expansions of Arithmetical Functions /
Wolfgang Schwarz / 187 \\
On Highly Composite Numbers / Jean-Louis Nicolas / 215
\\
Ramanujan's Tau-function and Its Generalizations / R.
A. Rankin / 245 \\
The Ramanujan $\tau$ Function / M. Ram Murty / 269 \\
Congruence Properties of $\tau(n)$ / H. P. F.
Swinnerton-Dyer / 289 \\
Ramanujan's Modular Equations / Bruce C. Berndt / 313
\\
Euler Products, Modular Identities and Elliptic
Integrals in Ramanujan's Manuscripts I / S. Raghavan /
335 | Euler Products, Modular Identities and Elliptic
Integrals in Ramanujan's Manuscripts II / S. S.
Rangachari / 347 \\
More Ramanujan-type Series for $1 / \pi $ / J. M.
Borwein and P. B. Borwein / 359 \\
Approximations and Complex Multiplication According to
Ramanujan / D. V. Chudnovsky and G. V. Chudnovsky / 375
\\
Multiple q--Series and U(n) Generalizations of
Ramanujan's $_1\psi_1$ Sum / S. C. Milne / 473 \\
Recent Results for the $q$-Lagrange Inversion Formula /
Dennis Stanton / 525 \\
Ramanujan's Second Notebook: Asymptotic Expansions for
Hypergeometric Series and Related Functions / Ronald J.
Evans / 561 \\
Beta Integrals in Ramanujan's Papers, His Unpublished
Work and Further Examples / Richard Askey / 561 \\
Correlation Functions of the Selberg Integral / K.
Aomoto / 591 \\
Some Identities, for Your Amusement / R. Wm. Gosper /
607 \\
The manuscripts for the following three lectures given
at the Ramanujan Centenary Conference were unavailable
for publication: \\
Aomoto's Proof of Selberg's Integral and Constant Term
Identities / Kevin Kadell / \\
On Ramanujan's Continued Fractions / K. G. Ramanathan /
\\
Combinatorics and Continued Fractions / Gerard
Viennot",
}
@Book{Ferris:1991:WTP,
editor = "Timothy Ferris",
booktitle = "The World Treasury of Physics, Astronomy, and
Mathematics",
title = "The World Treasury of Physics, Astronomy, and
Mathematics",
publisher = pub-LITTLE-BROWN,
address = pub-LITTLE-BROWN:adr,
pages = "xv + 859",
year = "1991",
ISBN = "0-316-28129-8",
ISBN-13 = "978-0-316-28129-4",
LCCN = "QC71 .W67 1991",
bibdate = "Fri Aug 12 15:08:42 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/p/planck-max.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib;
z3950.loc.gov:7090/Voyager",
note = "With a foreword by Clifton Fadiman, general editor.",
abstract = "An astonishing cast of more than ninety renowned
writers provides thoughtful and lucid reflections on
some of the major scientific topics of our time ---
from black holes and galaxies to artificial
intelligence and chaos theory. Featuring essays,
articles, and poems penned by notables in the worlds of
both science and literature, this unique book will
delight the science enthusiast and the inquisitive
general reader alike.",
acknowledgement = ack-nhfb,
subject = "Physics; Astronomy; Mathematics; Science; Philosophy;
Physicists; Biography; Astronomers; Mathematicians;
Physique; Astronomie; Math{\'e}matiques; Sciences;
Philosophie; Physiciens; Biographies; Astronomes;
Math{\'e}maticiens; Astronomers; Astronomy;
Mathematicians; Mathematics; Physicists; Physics;
Philosophy; Aufsatzsammlung; Naturwissenschaften;
Physique; Astronomie; Math{\'e}matiques",
tableofcontents = "Foreword \\
Preface \\
Part 1: Realm of the Atom \\
Atoms and quarks \\
Atoms in motion / Richard P. Feynman \\
Large and the small / Kenneth W. Ford \\
Gay tribe of electrons / George Gamow \\
Radioactive substances / Pierre Curie \\
$E = m c^2$ / Albert Einstein \\
Man who listened / Robert P. Crease and Charles C. Mann
\\
Theory of electrons and positrons / Paul A. M. Dirac
\\
Copenhagen interpretation of quantum theory / Werner
Heisenberg \\
Uncertainty and complementarity / Heinz R. Pagels \\
Schrodinger's cat / Heinz R. Pagels \\
Unified theory of physics / Timothy Ferris \\
Butterflies and super strings / Freeman J. Dyson \\
Time and space \\
Distinction of past and future / Richard P. Feynman \\
Second law of thermodynamics / Max Planck \\
Age of the elements / David N. Schramm \\
Two masses / Isaac Asimov \\
Einstein's law of gravitation / Bertrand Russell \\
Black holes / Roger Penrose \\
Black holes ain't so black / Stephen W. Hawking \\
Part 2: Wider Universe \\
Sun and beyond \\
Total eclipse / Annie Dillard \\
Astride the comet / Carl Sagan and Ann Druyan \\
Cosmic terrorist / Richard Muller \\
I think I see it / Richard Muller \\
Classifying the stars / Annie J. Cannon \\
How a supernova explodes / Hans A. Bethe and Gerald
Brown \\
Measuring the universe / Harlow Shapley \\
Milky Way galaxy / Bart J. Bok \\
Structure of the universe \\
Cosmology: the quest to understand the creation and
expansion of the universe / Allan Sandage \\
Exploration of space / Edwin Hubble \\
Spherical space / Arthur Stanley Eddington \\
Primeval atom / Georges Lema{\^\i}tre \\
New physics and the universe / James Trefil \\
Let there be light: modern cosmogony and biblical
creation / Owen Gingerich \\
Beginnings and endings \\
First three minutes / Steven Weinberg \\
Magic furnace / Harald Fritzsch \\
Origin of the universe / Alan Lightman \\
How will the world end? / John D. Barrow and Joseph
Silk \\
Part 3: Cosmos of Numbers \\
About mathematics \\
Mathematician's apology / Godfrey Harold Hardy \\
Mathematics and creativity / Alfred Adler \\
How long is the coast of Britain? / Beno{\^\i}t B.
Mandelbrot \\
Chaos / James Gleick \\
Artificial intelligence and all that \\
Computers / Lewis Thomas \\
Computer and the brain / John von Neumann \\
Can a machine think? / Alan Turing \\
Math angst \\
Loss of certainty / Morris Kline \\
Unreasonable effectiveness of mathematics in the
natural sciences / Eugene P. Wigner \\
What is mathematics / John D. Barrow \\
Limits of mathematics / Philip J. Davis and Reuben
Hersh \\
Part 4: Ways of Science \\
Scientists' lives and works \\
Albert Einstein / John Archibald Wheeler \\
Autobiographical notes / Albert Einstein \\
Tribute to Max Planck / Albert Einstein \\
Rutherford / C. P. Snow \\
Dirac / Jagdish Mehra \\
Hilbert / Paul A. M. Dirac \\
Quest for order / John Tierney \\
Legend of John von Neumann / P. R. Halmos \\
On the beach / Andrew Hodges \\
Ramanujan and Pi / Jonathan M. Borwein and Peter B.
Borwein \\
Paul Erd{\H{o}}s: mathematician / Lee Dembart \\
Man of science-Abdus Salam / Nigel Calder \\
Two shakers of physics: memorial lecture for Sin-itiro
Tomonaga / Julian Schwinger \\
Robert Wilson and the building of Fermilab / Philip J
Hilts \\
Los Alamos / Stanislaw M. Ulam \\
Coming into my own / Luis W. Alvarez \\
Two cultures / C. P. Snow \\
Women in science / Vivian Gornick \\
Iron / Primo Levi \\
Poetry of science \\
When I heard the learn'd astronomer / Walt Whitman \\
I am like a slip of comet / Gerard Manley Hopkins \\
Arcturus / Emily Dickinson \\
Star-swirls / Robinson Jeffers \\
Galaxy / Richard Ryan \\
Molecular evolution / James Clerk Maxwell \\
Atomic architecture / A. M. Sullivan \\
Seeing things / Howard Nemerov \\
Cosmic gall / John Updike \\
Nomad / Anthony Piccione \\
Little cosmic dust poem / John Haines \\
Connoisseur of chaos / Wallace Stevens \\
Kings of the world / Rainer Maria Rilke \\
Windy planet / Annie Dillard \\
Space shuttle / Diane Ackerman \\
Epistemology / Richard Wilbur \\
What science says to truth / William Watson \\
from An essay on man / Alexander Pope \\
True enough: to the physicist / Johann Wolfgang von
Goethe \\
About Planck time / George Bradley \\
Observatory ode / John Frederick Nims \\
Philosophy and science \\
Nature of science / Isaac Asimov \\
Art of discovery / Horace Freeland Judson \\
Structure of scientific revolutions / Thomas S. Kuhn
\\
Logic of scientific discovery / Karl Popper \\
Causality and complementarity / Niels Bohr \\
From Letters to Max Born / Albert Einstein \\
Black magic and white magic / Jacob Bronowski \\
Positivism, metaphysics, and religion / Werner
Heisenberg \\
Science and religion / Albert Einstein \\
Acknowledgments \\
Index",
}
@Proceedings{Ioffe:1992:ONA,
editor = "Aleksandr Davidovich Ioffe and Moshe Marcus and Simeon
Reich",
booktitle = "{Optimization and nonlinear analysis: [proceedings of
a Binational Workshop on Optimization and Nonlinear
Analysis, held at Technion City, Haifa, 21--27 March
1990]}",
title = "{Optimization and nonlinear analysis: [proceedings of
a Binational Workshop on Optimization and Nonlinear
Analysis, held at Technion City, Haifa, 21--27 March
1990]}",
volume = "244",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "315 + 2",
year = "1992",
ISBN = "0-582-08065-7, 0-470-21943-2",
ISBN-13 = "978-0-582-08065-2, 978-0-470-21943-0",
ISSN = "0269-3674",
LCCN = "QA402.5 .O6424 1991",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Pitman research notes in mathematics series",
acknowledgement = ack-nhfb,
aseries = "Pitman Res. Notes Math. Ser.",
remark = "Proceedings of a Binational Workshop on Optimization
and Nonlinear Analysis, held at Technion City, Haifa,
21--27 March 1990, organized by the Institute of
Advanced Studies in Mathematics at the Technion and
sponsored by the U.S.--Israel Binational Science
Foundation and the Technion--Israel Institute of
Technology.",
tableofcontents = "Foreword \\
List of contributors \\
Qualitative results about the convergence of convex
sets and convex functions / D Aze and J-P Penot / 1 \\
Large solutions of semilinear elliptic equations with
`singular' coefficients / C Bandle and M Marcus / 25
\\
Differentiability properties of convex, of Lipschitz,
and of semicontinuous mappings on Banach spaces / J
Borwein / 39 \\
Extremal and near-extremal trajectories of rank zero in
nonlinear control problems / M Briskin and Y Yomdin /
53 \\
Integral representation theory for some classes of
local functions / G Buttazzo / 64 \\
On the use of $D$-functions in primal--dual methods and
in the proximal minimization algorithm / Y Censor and S
A Zenios / 76 \\
Estimating the effect of perturbing the time delay in
optimal control problems / F H Clarke and P R Wolenski
/ 98 \\
Random products of nonexpansive mappings / J Dye and S
Reich / 106 \\
A primal--dual differential method for convex
programming / S Flam and J Zowe / 119 \\
Some asymptotic properties of optimal control problems
with averaged performance indices considered on
unbounded time intervals / V Gaitsgory / 130 \\
On a problem concerning involutions of Banach spaces /
K Goebel / 142 \\
Dual representation of the lower second order
epi-derivative of a composite function / A Ioffe / 145
\\
Common fixed points and nonexpansive retracts / W A
Kirk / 155 \\
Variational problems on unbounded two-dimensional
domains / A Leizarowitz / 169 \\
Limits of Fr{\'e}chet normals in nonsmooth analysis / P
D Loewen / 178 \\
Relevance of Lavrentiev's phenomenon in 1-dimension to
continuum mechanics / V J Mizel / 189 \\
On variational analysis of differential inclusions / B
S Mordukhovich / 199 \\
Periodic points of nonexpansive operators / R D
Nussbaum / 214 \\
Nonlinear semigroups, integral equations and hyperbolic
spaces / S Reich / 221 \\
Homeomorphism conditions for normal maps of polyhedra /
S M Robinson / 240 \\
Cosmic convergence / R T Rockafellar and R J-B Wets /
249 \\
The dynamics of some systems with hysteretic
nonlinearities / T I Seidman / 273 \\
Pontryagin maximum principle and dynamic programming
for viscous hydrodynamics / S S Sritharan / 286 \\
Optimal control theory and piecewise analyticity of the
distance function for some real-analytic sub-Riemannian
metrics / H J Sussmann / 298 \\
Lagrange--Kuhn--Tucker multipliers for general
mathematical programming problems / L.Thibault / 311",
}
@Book{Phillips:1992:SMS,
editor = "Fred Young Phillips and John James Rousseau",
booktitle = "Systems and Management Science by Extremal Methods:
Research Honoring {Abraham Charnes} at Age 70",
title = "Systems and Management Science by Extremal Methods:
Research Honoring {Abraham Charnes} at Age 70",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxv + 580",
year = "1992",
DOI = "https://doi.org/10.1007/978-1-4615-3600-0",
ISBN = "1-4613-6599-6 (print), 1-4615-3600-6 (e-book)",
ISBN-13 = "978-1-4613-6599-0 (print), 978-1-4615-3600-0
(e-book)",
LCCN = "HD30.23",
bibdate = "Thu Oct 31 19:04:43 MDT 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
abstract = "This volume, \booktitle{Systems and Management Science
by Extremal Methods}, is the second in a series
dedicated to honoring and extending the work of Abraham
Charnes. The first volume, entitled \booktitle{Extremal
Methods and Systems Analysis} (Springer Verlag, Berlin,
1980), was edited by A. V. Fiacco and K. O. Kortanek.
Subtitled ``\booktitle{An International Symposium on
the Occasion of Abraham Charnes' Sixtieth Birthday},''
this first volume consisted of a selection from papers
presented at a conference in honor of Professor Charnes
held at The University of Texas at Austin in September
1977. This second volume consists of papers, to be
described more fully below, that were presented in a
similar conference held at the IC Institute of The
University of Texas at Austin, Texas, in October of
1987, to honor Dr. Charnes on his seventieth birthday.
All these papers were written by scholars and
scientists whose own work has been affected by the
contributions of this distinguished scholar and
educator over a long period of time.",
acknowledgement = ack-nhfb,
subject = "Economics; Operations research; Economics.; Operations
research.",
tableofcontents = "Front Matter / i--xxv \\
Front Matter / 1--1 \\
Section I: Abraham Charnes --- A Record of Educational
Activities \\
1 A Dean's Perspective on Abraham Charnes: The Nature
of Creative and Innovative Research and Teaching /
George Kozmetsky / 3--9 \\
2 On Learning from Outliers / Arie Y. Lewin / 11--17
\\
3 Abraham Charnes as Teacher and Educator: A Student's
Perspective / Michael J. L. Kirby / 19--25 \\
Front Matter / 27--27 \\
Section II: Abraham Charnes --- A Record of Research
Contributions \\
Front Matter / 27--27 \\
4 Contributions to Marketing / David B. Learner, Fred
Y. Phillips / 29--45 \\
5 Contributions to Human Resource Planning / Richard J.
Niehaus, Edward S. Bres III / 47--68 \\
6 Contributions to Statistics / Patrick L. Brockett,
Lawrence M. Seiford / 69--88 \\
7 Contributions to Engineering / James P. Heaney,
Walter R. Lynn / 89--112 \\
Section III: Linear Programming and Related Topics \\
Front Matter / 113--113 \ 8 $m$ Applications of
$M$-Matrices / Abraham Berman / 115--126 \\
9 Applications of Generalized Inverses / Adi Ben-Israel
/ 127--147 \\
10 Variational Inequalities and Related Projections /
Sjur D. Fl{\aa}m / 149--159 \\
11 An Implementation and Computational Evaluation of
New Criteria for the Simplex Method / Cengiz Haksever /
161--179 \\
12 Using the Charnes et al. LP Problem Generator to
Test Two Linear Programming Codes / Kenneth O.
Kortanek, Jishan Zhu / 181--191 \\
13 On the Charnes--Lemke Algorithm for Linear
Programming Problems with Multipage Structure / William
M. Raike, John J. Rousseau / 193--202 \\
Section IV: Nonlinear and Probabilistically Constrained
Programming \\
Front Matter / 203--203 \\
14 A Tutorial on Parametric Nonlinear Programming
Sensitivity and Stability Analysis / Anthony V. Fiacco,
Jerzy Kyparisis / 205--223 \\
15 Topics in Input Optimization / Sanjo Zlobec /
225--243 \\
16 Posterior Convergence Under Incomplete Information /
Aharon Ben-Tal, Donald E. Brown, Robert L. Smith /
245--254 \\
17 On $\phi$-Divergence and its Applications / Marc
Teboulle / 255--273 \\
18 Spectral Estimation via Convex Programming / Aharon
Ben-Tal, Jonathan M. Borwein, Marc Teboulle / 275--289
\\
19 On Random Payoff Matrix Games / Tiantai Song /
291--308 \\
Section V: Theory of Games, Efficiency Measurement, and
Goal Programming \\
Front Matter / 309--309 \\
20 Homomonotone Games and Monocore Solutions / Salih O.
Duffuaa, Boaz Golany / 311--326 \\
21 Efficiency Evaluation Games / Boaz Golany, John J.
Rousseau / 327--347 \\
22 Rating Players in a Tournament: An $m$th Generation
Approach / Wade D. Cook, Moshe Kress / 349--360 \\
23 The Analytic Hierarchy Process: Structure of the
Problem and its Solutions / Jonathan Barzilai, Wade D.
Cook, Boaz Golany / 361--371 \\
24 Simplified von Neumann--Morgenstern Axioms for the
Subjective Valuation of Risky Assets / Crisostomo B.
Garcia / 373--393 \\
25 A Review of Policy-Bounding Techniques in Fisheries
Management / William S. Lovejoy / 395--408 \\
26 Spot Pricing of Electricity: An Appraisal of the MIT
Model / Stephen C. Littlechild / 409--426 \\
27 A Survey of Cost and Revenue Allocation Problems /
Daniel Granot, Frieda Granot / 427--459 \\
Section VI: Semi-Infinite Programming and Applications
\\
Front Matter / 461--461 \\
28 Semi-Infinite Programming: Recent Trends of
Development / Sven-{\AA}ke Gustafson, Kenneth O.
Kortanek / 463--478 \\
\\
29 A Recursive, Volume-Reducing Algorithm for
Semi-Infinite Linear Programming / Henry Wolkowicz, Adi
Ben-Israel / 479--490 \\
30 First-and Second-Order Convex Programming Scaling
Algorithms Applied to Geometric Programming / Paul R.
Gribik, Siming Huang, Kenneth O. Kortanek / 491--511
\\
31 An Optimal Stopping Game in a Restricted Market /
Charles G. Bird / 513--520 \\
32 A Mixing Routine for the Design of Hierarchical
Communications Networks / George G. Polak / 521--537
\\
Back Matter / 539--580 \\
Appendix: Publications of Abraham Charnes",
}
@Proceedings{Cohen:1995:AAA,
editor = "G. (G{\'e}rard) Cohen and Marc Giusti and Teo Mora",
booktitle = "{Applied algebra, algebraic algorithms, and
error-correcting codes: 11th international symposium,
AAECC-11, Paris, France, July 1995: proceedings}",
title = "{Applied algebra, algebraic algorithms, and
error-correcting codes: 11th international symposium,
AAECC-11, Paris, France, July 1995: proceedings}",
volume = "948",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 484",
year = "1995",
DOI = "https://doi.org/10.1007/3-540-60114-7",
ISBN = "3-540-60114-7 (softcover)",
ISBN-13 = "978-3-540-60114-2 (softcover)",
LCCN = "QA268 .A35 1995",
bibdate = "Tue Mar 14 15:37:05 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture notes in computer science",
URL = "http://www.loc.gov/catdir/enhancements/fy0815/95021560-d.html",
abstract = "This book constitutes the proceedings of the 11th
International Conference on Applied Algebra, Algebraic
Algorithms and Error-Correcting Codes, AAECC-11, held
in Paris, France in July 1995. The volume presents five
invited papers and 32 full revised research papers
selected from a total of 68 submissions; it is focussed
on research directed to the exploitation of algebraic
techniques and methodologies for the application in
coding and computer algebra. Among the topics covered
are coding, cryptoloy, communication, factorization of
polynomials, Gr{\"o}bner bases, computer algebra,
algebraic algorithms, symbolic computation, algebraic
manipulation.",
acknowledgement = ack-nhfb,
meetingname = "AAECC-11 (1995 : Paris, France)",
subject = "Error-correcting codes (Information theory);
Congresses; Algebra; Data processing; Algorithms",
tableofcontents = "Front Matter Supports of a code / L. A. Bassalygo /
1--3 \\
Chemical isomerism, a challenge for algebraic
combinatorics and for computer science / Ch. Benecke,
R. Grund, R. Hohberger, A. Kerber, R. Laue, Th. Wieland
/ 4--20 \\
On algebraic methods in covering radius problems / I.
Honkala, S. Litsyn, A. Tiet{\"a}v{\"a}inen / 21--32 \\
How lower and upper complexity bounds meet in
elimination theory / Luis M. Pardo / 33--69 \\
Bivariate polynomial multiplication patterns / Arnold
Sch{\"o}nhage / 70--81 \\
Division of entire functions by polynomial ideals / J.
Apel / 82--95 \\
Variations on minimal codewords in linear codes / A.
Ashikhmin, A. Barg, G. Cohen, L. Huguet / 96--105 \\
On the computation of the radical of polynomial
complete intersection ideals / In{\'e}s Armend{\'a}riz,
Pablo Solern{\'o} / 106--119 \\
Which families of long binary linear codes have a
binomial weight distribution? / Th. Beth, H. Kalouti,
D. E. Lazic / 120--130 \\
The discovery of simple 7-designs with automorphism
group $P\Gamma L(2, 32)$ / Anton Betten, Adalbert
Kerber, Axel Kohnert, Reinhard Laue, Alfred Wassermann
/ 131--145 \\
Fast exponentiation in cryptography / Irina. E.
Bocharova, Boris. D. Kudryashov / 146--157 \\
On maximal spherical codes I / Peter Boyvalenkov, Ivan
Landgev / 158--168 \\
Formal computation of Galois groups with relative
resolvents / Antoine Colin / 169--182 \\
A case of automatic theorem proving in Euclidean
geometry: the Maclane 83 theorem / Pasqualina Conti,
Carlo Traverso / 183--193 \\
Isometry classes of indecomposable linear codes /
Harald Fripertinger, Adalbert Kerber / 194--204 \\
When polynomial equation systems can be solved fast? /
M. Giusti, J. Heintz, J. E. Morais, L. M. Pardo /
205--231 \\
Using symmetric functions to describe the solution set
of a zero dimensional ideal / Laureano
Gonz{\'a}lez-Vega, Guadalupe Trujillo / 232--247 \\
Triangular systems and factorized Gr{\"o}bner bases /
Hans-Gert Gr{\"a}be / 248--261 \\
Computation in algebraic function fields for effective
construction of algebraic--geometric codes / Ga{\'e}tan
Hach{\'e} / 262--278 \\
Singly-even self-dual codes and Hadamard matrices /
Masaaki Harada, Vladimir D. Tonchev / 279--284 \\
Implicitization of curves parameterized by generalized
trigonometric polynomials / Hoon Hong / 285--296 \\
Randomness properties of partial-planes as LSI test
inputs and their implementations / Yukihiro Kamiya,
Takayuki Miki, Yoshihiro Iwadare / 297--311 \\
Mixed covering codes with two binary and four ternary
coordinates / E. Kolev / 312--322 \\
About approximations of exponentials / P.-V. Koseleff /
323--333 \\
A note on normal bases / J. Lacan, E. Delpeyroux /
334--340 \\
On the covering radius of long Goppa codes /
Fran{\c{c}}oise Levy-dit-Vehel, Simon Litsyn / 341--346
\\
Integration of multivariate rational functions given by
straight-line programs / Guillermo Matera / 347--364
\\
Polynomial gcd computations over towers of algebraic
extensions / Marc Moreno Maza, Renaud Rioboo / 365--382
\\
Displacements of matrix products / Quyen L. Nguyen,
David H. Wood / 383--392 \\
Testing identities of series defined by algebraic
partial differential equations / Ariane
P{\'e}ladan-Germa / 393--407 \\
The complexity of formal resolution of linear partial
differential equations / Brahim Sadik / 408--414 \\
A fast parallel implementation of the Berlekamp--Massey
algorithm with a 1D systolic array architecture /
Shojiro Sakata, Masazumi Kurihara / 415--426 \\
Tomography of constructible functions / P. Schapira /
427--435 \\
On the determination of formal solutions of a system of
partial differential equations / Jirung Albert Shih /
436--447 \\
D4, E6, E8 and the AGM / Patrick Sole / 448--455 \\
Computation of the Galois groups of the resolvent
factors for the direct and inverse Galois problems /
Annick Valibouze / 456--468 \\
First integrals and Darboux polynomials of homogeneous
linear differential systems / Jacques-Arthur Weil /
469--484 \\
Back Matter",
}
@Book{Faltings:1996:MM,
author = "Gerd Faltings",
booktitle = "{Moderne Mathematik}",
title = "{Moderne Mathematik}",
publisher = "Spectrum Akademischer Verlag",
address = "Heidelberg, Germany",
pages = "183",
year = "1996",
ISBN = "3-8274-0025-2",
ISBN-13 = "978-3-8274-0025-3",
LCCN = "????",
bibdate = "Fri Aug 12 14:56:49 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Verst{\"a}ndliche Forschung.",
ZMnumber = "0948.00500",
acknowledgement = ack-nhfb,
keywords = "Amy Dahan; Carl Pomerance; Dalmedico Vaughan; Daniel
Gorenstein; Der Beweis Aufsatzsammlung; F. R. Jones;
Gabriel Wittum; Geometrie; Georg Cantor; Gerd Faltings;
Gerhard Frey; Hermann Karcher; Herold M. Edwards;
Jeffrey R. Weeks; John E. Hopcroft; Jonathan M.
Borwein; Joseph W. Dauben; Joseph W. Sloane; Kenneth
Appel; Knotentheorie; Konrad Polthier; M. Edwards Der;
Marshall W. Bern; Mathematik; Mehrgitterverfahren;
Minimalfl{\"a}che; P. Thurston Jeffrey; Peter P.
Borwein; Ronald L. Graham; Sophie Germain; Spektrum;
Srinivasa Ramanujan; Turingmaschine; Vierfarbensatz;
William P. Thurston; Wolfgang Haken; dreidimensionale
Mannigfaltigkeit; einfache Gruppe; endliche Gruppe;
fermatsches Theorem; kurzes Netzwerk; matematica
moderna; statistische Mechanik; verst{\"a}ndlich
Forschung Moderne Mathematik; verst{\"a}ndliche
Forschung",
subject = "Matem{\'a}ticas",
tableofcontents = "Gerd Faltings / Einf{\"u}hrung / 7 \\
Amy Dahan Dalmedico / Sophie Germain / 8--15 \\
Vaughan F. R. Jones / Knotentheorie und statistische
Mechanik / 16--23 \\
Hermann Karcher and Konrad Polthier / Die Geometrie von
Minimalflachen / 24--37 \\
Gabriel Wittum / Mehrgitterverfahren / 38--51 \\
Marshall W. Bern and Ronald L. Graham / Das Problem des
kurzesten Netzwerks / 52--58 \\
Jonathan M. Borwein and Peter B. Borwein / Srinivasa
Ramanujan und die Zahl Pi / 60--68 \\
Daniel Gorenstein / Die Klassifikation der endlichen
einfachen Gruppen / 70--82 \\
William P. Thurston and Jeffrey R. Weeks / Die
Mathematik dreidimensionaler Mannigfaltigkeiten /
84--98 \\
John E. Hopcroft / Turingmaschinen / 100--111 \\
N. J. A. Sloane / Kugelpackungen im Raum / 112--123 \\
Joseph W. Dauben / Georg Cantor und die Machtigkeit der
Mengen / 124--134 \\
Carl Pomerance / Primzahlen im Schnelltest / 136--146
\\
Kenneth Appel and Wolfgang Haken / Der Beweis des
Vierfarbensatzes / 148--157 \\
Herold M. Edwards / Das Fermatsche Theorem / 158--165
\\
Gerhard Frey / Der Beweis des Fermatschen Theorems /
166--175",
}
@Book{Berggren:1997:PSB,
editor = "Lennart Berggren and Jonathan M. Borwein and Peter B.
Borwein",
booktitle = "Pi, a source book",
title = "Pi, a source book",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xix + 716",
year = "1997",
DOI = "https://doi.org/10.1007/978-1-4757-2736-4",
ISBN = "0-387-94924-0, 1-4757-2736-4 (e-book), 1-4757-2738-0
(print), 3-540-94924-0",
ISBN-13 = "978-0-387-94924-6, 978-1-4757-2736-4 (e-book),
978-1-4757-2738-8 (print), 978-3-540-94924-4",
LCCN = "QA484 .P5 1997",
bibdate = "Fri Sep 2 17:41:50 MDT 2022",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
z3950.loc.gov:7090/Voyager",
abstract = "The aim of this book is to provide a complete history
of pi from the dawn of mathematical time to the
present. The story of pi reflects the most seminal, the
most serious and sometimes the silliest aspects of
mathematics, and a surprising amount of the most
important mathematics and mathematicians have
contributed to its unfolding. Pi is one of the few
concepts in mathematics whose mention evokes a response
of recognition and interest in those not concerned
professionally with the subject. Yet, despite this, no
source book on pi has been published. One of the
beauties of the literature on pi is that it allows for
the inclusion of very modern, yet still accessible,
mathematics. Mathematicians and historians of
mathematics will find this book indispensable. Teachers
at every level from the seventh grade onward will find
here ample resources for anything from special topic
courses to individual talks and special student
projects. The literature on pi included in this source
book falls into three classes: first a selection of the
mathematical literature of four millennia, second a
variety of historical studies or writings on the
cultural meaning and significance of the number, and
third, a number of treatments on pi that are fanciful,
satirical and/or whimsical.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Pi; Pi (Le nombre); Pi.; Pi (le nombre)",
tableofcontents = "Preface / v \\
\\
Acknowledgments / ix \\
\\
Introduction / xvii \\
\\
1. The Rhind Mathematical Papyrus-Problem 50 ($\approx$
1650 B.C.) / A problem dealing with the area of a round
field of given diameter / 1 \\
\\
2. Engels. Quadrature of the Circle in Ancient Egypt
(1977) / A conjectural explanation of how the
mathematicians of ancient Egypt approximated the area
of a circle / 3 \\
\\
3. Archimedes. Measurement of a Circle ($\approx$ 250
BC) / The seminal work in which Archimedes presents the
first true algorithm for $\pi$ / 7 \\
\\
4. Phillips. Archimedes the Numerical Analyst (1981) /
A summary of Archimedes' work on the computation of
$\pi$ using modern notation / 15 \\
\\
5. Lam and Ang. Circle Measurements in Ancient China
(1986) / This paper discusses and contains a
translation of Liu Hui's (3rd century) method for
evaluating $\pi$ and also examines values for $\pi$
given by Zu Chongzhi (429--500) / 20 \\
\\
6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane
and Solid Figures ($\approx$ 850) / This extract gives
an explicit statement and proof that the ratio of the
circumference to the diameter is constant / 36 \\
\\
7. M{\=a}dhava. The Power Series for Arctan and Pi
($\approx$ 1400) / These theorems by a fifteenth
century Indian mathematician give Gregory's series for
arctan with remainder terms and Leibniz's series for
$\pi$ / 45 \\
\\
8. Hope-Jones. Ludolph (or Ludolff or Lucius) van
Ceulen (1938) / Correspondence about van Ceulen's
tombstone in reference to it containing some digits of
$\pi$ / 51 \\
\\
9. Vi{\'e}te. Variorum de Rebus Mathematicis Reponsorum
Liber VII (1593) / Two excerpts. One containing the
first infinite expression of $\pi$, obtained by
relating the area of a regular $2n$-gon to that of a
regular $n$-gon / 53 \\
\\
10. Wallis. Computation of $\pi$ by Successive
Interpolations (1655) / How Wallis derived the infinite
product for $\pi$ that bears his name / 68 \\
\\
11. Wallis. Arithmetica Infinitorum (1655) / An excerpt
including Prop. 189, 191 and an alternate form of the
result that gives Wm. Brounker's continued fraction
expression for $4/\pi$ / 78 \\
\\
12. Huygens. De Circuli Magnitudine Inventa (1724) /
Huygens's proof of W. Snell's discovery of improvements
in Archimedes' method of estimating the lengths of
circular arcs / 81 \\
\\
13. Gregory. Correspondence with John Collins (1671) /
A letter to Collins in which he gives his series for
arctangent, carried to the ninth power. / 87 \\
\\
14. Roy. The Discovery of the Series Formula for $\pi$
by Leibniz, Gregory, and Nilakantha (1990) / A
discussion of the discovery of the series $\pi/4 = 1 -
1/3 + 1/5, \cdots{}$ / 92 \\
\\
15. Jones. The First Use of $\pi$ for the Circle Ratio
(1706) / An excerpt from Jones' book, the Synopsis
Palmariorum Matheseos: or, a New Introduction to the
Mathematics, London, 1706 / 108 \\
\\
16. Newton. Of the Method of Fluxions and Infinite
Series (1737) / An excerpt giving Newton's calculation
of $\pi$ to 16 decimal places / 110 \\
\\
17. Euler. Chapter 10 of Introduction to Analysis of
the Infinite (On the Use of the Discovered Fractions to
Sum Infinite Series) (1748) / This includes many of
Euler's infinite series for $\pi$ and powers of $\pi$ /
112 \\
\\
18. Lambert. M{\'e}moire Sur Quelques
Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s
Transcendentes Circulaires et Logarithmiques (1761) /
An excerpt from Lambert's original proof of the
irrationality of $\pi$ / 129 \\
\\
19. Lambert. Irrationality of $\pi$ (1969) / A
translation and Struik's discussion of Lambert's proof
of the irrationality of $\pi$ / 141 \\
\\
20. Shanks. Contributions to Mathematics Comprising
Chiefly of the Rectification of the Circle to 607
Places of Decimals (1853) / Pages from Shank's report
of his monumental hand calculation of $\pi$ / 147 \\
\\
21. Hermite. Sur La Fonction Exponentielle (1873) / The
first proof of the transcendence of $e$ / 162 \\
\\
22. Lindemann. Ueber die Zahl $\pi$ (1882) / The first
proof of the transcendence of $\pi$ / 194 \\
\\
23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die
Ludolphsche Zahl'' (1885) / Weierstrass' proof of the
transcendence of $\pi$ / 207 \\
\\
24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und
$\pi$ (1893) / Hilbert's short and elegant
simplification of the transcendence proofs for $e$ and
$\pi$ / 226 \\
\\
25. Goodwin. Quadrature of the Circle (1894) / The
dubious origin of the attempted legislation of the
value of $\pi$ in Indiana / 230 \\
\\
26. Edington. House Bill No. 246, Indiana State
Legislature, 1897 (1935) / A summary of the action
taken by the Indiana State Legislature to fix the value
of $\pi$ (including a copy of the actual bill that was
proposed) / 231 \\
\\
27. Singmaster. The Legal Values of Pi (1985) / A
history of the attempt by Indiana to legislate the
value of $\pi$ / 236 \\
\\
28. Ramanujan. Squaring the Circle (1913) / A geometric
approximation to $\pi$ / 240 \\
\\
29. Ramanujan. Modular Equations and Approximations to
$\pi$ (1914) / Ramanujan's seminal paper on $\pi$ that
includes a number of striking series and algebraic
approximations / 241 \\
\\
30. Watson. The Marquis and the Land Agent: A Tale of
the Eighteenth Century (1933) / A Presidential address
to the Mathematical Association in which the author
gives an account of ``some of the elementary work on
arcs and ellipses and other curves which led up to the
idea of inverting an elliptic integral, and so laying
the foundations of elliptic functions and doubly
periodic functions generally.'' / 258 \\
\\
31. Ballantine. The Best (?) Formula for Computing
$\pi$ to a Thousand Places (1939) / An early attempt to
orchestrate the calculation of $\pi$ more cleverly /
271 \\
\\
32. Birch. An Algorithm for Construction of Arctangent
Relations (1946) / The object of this note is to
express $\pi / 4 $ as a sum of arctan relations in
powers of 10 / 274 \\
\\
33. Niven. A Simple Proof that $\pi$ Is Irrational
(1947) / A very concise proof of the irrationality of
$\pi$ / 276 \\
\\
34. Reitwiesner. An ENIAC Determination of $\pi$ and
$e$ to 2000 Decimal Places (1950) / One of the first
computer-based computations / 277 \\
\\
35. Schepler. The Chronology of Pi (1950) / A fairly
reliable outline of the history of $\pi$ from 3000 BC
to 1949 / 282 \\
\\
36. Mahler. On the Approximation of $\pi$ (1953) /
``The aim of this paper is to determine an explicit
lower bound free of unknown constants for the distance
of $\pi$ from a given rational or algebraic number'' /
306 \\
\\
37. Wrench, Jr. The Evolution of Extended Decimal
Approximations to $\pi$ (1960) / A history of the
calculation of the digits of $\pi$ to 1960 \\
\\
38. Shanks and Wrench, Jr. Calculation of $\pi$ to
100,000 Decimals (1962) / A landmark computation of
$\pi$ to more than 100,000 places / 326 \\
\\
39. Sweeny. On the Computation of Euler's Constant
(1963) / The computation of Euler's constant to 3566
decimal places / 350 \\
\\
40. Baker. Approximations to the Logarithms of Certain
Rational Numbers (1964) / The main purpose of this deep
and fundamental paper is to ``deduce results concerning
the accuracy with which the natural logarithms of
certain rational numbers may be approximated by
rational numbers, or, more generally, by algebraic
numbers of bounded degree.'' / 359 \\
\\
41. Adams. Asymptotic Diophantine Approximations to $E$
(1966) / An asymptotic estimate for the rational
approximation to $e$ which disproves the conjecture
that $e$ behaves like almost all numbers in this
respect / 368 \\
\\
42. Mahler. Applications of Some Formulae by Hermite to
the Approximations of Exponentials of Logarithms (1967)
/ An important extension of Hilbert's approach to the
study of transcendence / 372 \\
\\
43. Eves. In Mathematical Circles; A Selection of
Mathematical Stories and Anecdotes (excerpt) (1969) / A
collection of mathematical stories and anecdotes about
$\pi$ / 400 \\
\\
44. Eves. Mathematical Circles Revisited; A Second
Collection of Mathematical Stories and Anecdotes
(excerpt) (1971) / A further collection of mathematical
stories and anecdotes about $\pi$ / 402 \\
\\
45. Todd. The Lemniscate Constants (1975) / A unifying
account of some of the methods used for computing the
lemniscate constants / 412 \\
\\
46. Salamin. Computation of r Using
Arithmetic-Geometric Mean (1976) / The first
quadratically converging algorithm for $\pi$ based on
Gauss's AGM and on Legendre's relation for elliptic
integrals / 418 \\
\\
47. Brent. Fast Multiple-Precision Evaluation of
Elementary Functions (1976) / ``This paper contains the
`Gauss-Legendre' method and some different algorithms
for log and exp (using Landen transformations).'' / 424
\\
\\
48. Beukers. A Note on the Irrationality of $\zeta(2)$
and $\zetq(3)$ (1979) / A short and elegant recasting
of Ap{\'e}ry's proof of the irrationality of $\zeta(3)$
(and $\zeta(2)$) / 434 \\
\\
49. van der Poorten. A Proof that Euler Missed \ldots{}
Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$
(1979) / An illuminating account of Ap{\'e}ry's
astonishing proof of the irrationality of $\zeta(3)$ /
439 \\
\\
50. Brent and McMillan. Some New Algorithms for
High-Precision Computation of Euler's Constant (1980) /
Several new algorithms for high precision calculation
of Euler's constant, including one which was used to
compute 30,100 decimal places / 448 \\
\\
51. Apostol. A Proof that Euler Missed: Evaluating
$\zeta(2)$ the Easy Way (1983) / This note shows that
one of the double integrals considered by Beukers ([48]
in the table of contents) can be used to establish
directly that $\zeta(2) = \pi / 6$ / 456 \\
\\
52. O'Shaughnessy. Putting God Back in Math (1983) / An
article about the Institute of Pi Research, an
organization that ``pokes fun at creationists by
pointing out that even the Bible makes mistakes.'' /
458 \\
\\
53. Stern. A Remarkable Approximation to $\pi$ (1985) /
Justification of the value of $\pi$ in the Bible
through numerological interpretations / 460 \\
\\
54. Newman and Shanks. On a Sequence Arising in Series
for $\pi$ (1984) / More connections between $\pi$ and
modular equations / 462 \\
\\
55. Cox. The Arithmetic-Geometric Mean of Gauss (1984)
/ An extensive study of the complex analytic properties
of the AGM / 481 \\
\\
56. Borwein and Borwein. The Arithmetic-Geometric Mean
and Fast Computation of Elementary Functions (1984) /
The relationship between the AGM iteration and fast
computation of elementary functions (one of the
by-products is an algorithm for $\pi$) / 537 \\
\\
57. Newman. A Simplified Version of the Fast Algorithms
of Brent and Salamin (1984) / Elementary algorithms for
evaluating $e^x$ and $\pi$ using the Gauss AGM without
explicit elliptic function theory / 553 \\
\\
58. Wagon. Is Pi Normal? (1985) / A discussion of the
conjecture that $\pi$ has randomly distributed digits /
557 \\
\\
59. Keith. Circle Digits: A Self-Referential Story
(1986) / A mnemonic for the first 402 decimal places of
$\pi$ / 560 \\
\\
60. Bailey. The Computation of $\pi$ to 29,360,000
Decimal Digits Using Borweins' Quartically Convergent
Algorithm (1988) / The algorithms used, both for $\pi$
and for performing the required multiple-precision
arithmetic / 562 \\
\\
61. Kanada. Vectorization of Multiple-Precision
Arithmetic Program and 201,326,000 Decimal Digits of 1
Calculation (1988) / Details of the computation and
statistical tests of the first 200 million digits of
$\pi$ / 576 \\
\\
62. Borwein and Borwein. Ramanujan and Pi (1988) / This
article documents Ramanujan's life, his ingenious
approach to calculating $\pi$, and how his approach is
now incorporated into modern computer algorithms / 588
\\
\\
63. Chudnovsky and Chudnovsky. Approximations and
Complex Multiplication According to Ramanujan (1988) /
This excerpt describes ``Ramanujan's original quadratic
period--quasiperiod relations for elliptic curves with
complex multiplication and their applications to
representations of fractions of $\pi$ and other
logarithms in terms of rapidly convergent nearly
integral (hypergeometric) series.'' / 596 \\
\\
64. Borwein, Borwein and Bailey. Ramanujan, Modular
Equations, and Approximations to Pi or How to Compute
One Billion Digits of Pi (1989) / An exposition of the
computation of $\pi$ using mathematics rooted in
Ramanujan's work / 623 \\
\\
65. Borwein, Borwein and Dilcher. Pi, Euler Numbers,
and Asymptotic Expansions (1989) / An explanation as to
why the slowly convergent Gregory series for $\pi$,
truncated at 500,000 terms, gives $\pi$ to 40 places
with only the 6th, 17th, 18th, and 29th places being
incorrect / 642 \\
\\
66. Beukers, B{\'e}zivin, and Robba. An Alternative
Proof of the Lindemann--Weierstrass Theorem (1990) /
The Lindemann--Weierstrass theorem as a by-product of a
criterion for rationality of solutions of differential
equations / 649 \\
\\
67. Webster. The Tail of Pi (1991) / Various anecdotes
about $\pi$ from the 14th annual IMO Lecture to the
Royal Society / 654 \\
\\
68. Eco. An excerpt from Foucault's Pendulum (1993) /
``The unnumbered perfection of the circle itself.'' /
658 \\
\\
69. Keith. Pi Mnemonics and the Art of Constrained
Writing (1996) / A mnemonic for $\pi$ based on Edgar
Allen Poe's poem ``The Raven.'' / 659 \\
\\
70. Bailey, Borwein, and Plouffe. On the Rapid
Computation of Various Polylogarithmic Constants (1996)
/ A fast method for computing individual digits of
$\pi$ in base 2 / 663 \\
Appendix I --- On the Early History of Pi / 677 \\
\\
Appendix II --- A Computational Chronology of Pi / 683
\\
\\
Appendix III --- Selected Formulae for Pi / 686 \\
\\
Bibliography / 690 \\
\\
Credits / 697 \\
\\
Index / 701",
}
@Proceedings{Borwein:1997:OMP,
editor = "Jonathan M. Borwein and Peter B. Borwein and Loki
J{\"o}rgenson and Rob Corless",
booktitle = "{Organic mathematics: proceedings of the Organic
Mathematics Workshop, December 12--14, 1995, Simon
Fraser University, Burnaby, British Columbia}",
title = "{Organic mathematics: proceedings of the Organic
Mathematics Workshop, December 12--14, 1995, Simon
Fraser University, Burnaby, British Columbia}",
volume = "20",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "ix + 412",
year = "1997",
ISBN = "0-8218-0668-8",
ISBN-13 = "978-0-8218-0668-5",
ISSN = "0731-1036",
LCCN = "QA1 .O67 1995",
MRclass = "00B25 (11-06)",
MRnumber = "1483910",
bibdate = "Tue Aug 16 08:57:59 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "CMS conference proceedings",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "Am Kopf der Titelseite: Canadian Mathematical Society
= Soci{\'e}t{\'e} Math{\'e}matique du Canada. ``This
volume is the ''hardcopy`` version of the intrinsically
electronic ''Proceedings of the Organic Mathematics
Workshop`` held \ldots{} in December of 1995''.
``Published by the American Mathematical Society for
the Canadian Mathematical Society''.",
tableofcontents = "Jonathan M. Borwein, Peter B. Borwein, Robert M.
Corless, Loki J{\"o}rgenson and Nathalie Sinclair /
What is organic mathematics? / 1--18 \\
George E. Andrews / Pfaff's method. III. Comparison
with the WZ method [MR1392506] / 19--34 \\
D. H. Bailey, J. M. Borwein and P. B. Borwein /
Ramanujan, modular equations, and approximations to pi
or How to compute one billion digits of pi [MR0991866]
/ 35--71 \\
David H. Bailey and Simon Plouffe / Recognizing
numerical constants / 73--88 \\
J. M. Borwein and F. G. Garvan / Approximations to $
\pi $ via the Dedekind eta function / 89--115 \\
David W. Boyd / The beta expansion for Salem numbers /
117--131 \\
Joe Buhler, David Eisenbud, Ron Graham and Colin Wright
[Colin Douglas Wright] / Juggling drops and descents
[MR1274973] / 133--154 \\
Arjeh M. Cohen and David B. Wales / GL(4)-orbits in a
16-dimensional module for characteristic 3 [MR1409976]
/ 155--174 \\
K. Belabas and H. Cohen [Henri Cohen] / Binary cubic
forms and cubic number fields / 175--204 \\
Robert M. Corless / Continued fractions and chaos
[MR1216205] / 205--238 \\
P. J. Forrester and A. M. Odlyzko / A nonlinear
equation and its application to nearest neighbor
spacings for zeros of the zeta function and eigenvalues
of random matrices / 239--251 \\
Andrew Granville / Arithmetic properties of binomial
coefficients. I. Binomial coefficients modulo prime
powers / 253--276 \\
John H. Hubbard, Jean Marie McDill, Anne Noonburg and
Beverly H. West / A new look at the Airy equation with
fences and funnels / 277--303 \\
Jeffrey C. Lagarias / The $ 3 x + 1 $ problem and its
generalizations [MR0777565] / 305--334 \\
C. W. H. Lam / The search for a finite projective plane
of order 10 [MR1103185] / 335--355 \\
Stan Wagon / New visualization ideas for differential
equations / 357--381 \\
Selected images from the Proceedings / 383--386 \\
Stephen P. Braham / Internet, executable content, and
the future of mathematical science communication /
387--405 \\
Wayne Haga and Sinai Robins / On Kruskal's principle /
407--412",
}
@Book{Berggren:2000:PSB,
editor = "Lennart Berggren and Jonathan Borwein and Peter
Borwein",
booktitle = "Pi: a source book",
title = "Pi: a source book",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xx + 736",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4757-3240-5",
ISBN = "0-387-98946-3 (hardcover)",
ISBN-13 = "978-0-387-98946-4 (hardcover)",
LCCN = "QA484 .P5 2000",
MRclass = "11-00 (01A05 01A75 11-03)",
MRnumber = "1746004",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
libnote = "Not yet in my library.",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Pi (mathematical constant)",
tableofcontents = "Preface / v \\
\\
Preface to the Second Edition / viii \\
Acknowledgments / ix \\
\\
Introduction / xvii \\
\\
1. The Rhind Mathematical Papyrus-Problem 50 ($\approx$
1650 B.C.) / A problem dealing with the area of a round
field of given diameter / 1 \\
\\
2. Engels. Quadrature of the Circle in Ancient Egypt
(1977) / A conjectural explanation of how the
mathematicians of ancient Egypt approximated the area
of a circle / 3 \\
\\
3. Archimedes. Measurement of a Circle ($\approx$ 250
BC) / The seminal work in which Archimedes presents the
first true algorithm for $\pi$ / 7 \\
\\
4. Phillips. Archimedes the Numerical Analyst (1981) /
A summary of Archimedes' work on the computation of
$\pi$ using modern notation / 15 \\
\\
5. Lam and Ang. Circle Measurements in Ancient China
(1986) / This paper discusses and contains a
translation of Liu Hui's (3rd century) method for
evaluating $\pi$ and also examines values for $\pi$
given by Zu Chongzhi (429--500) / 20 \\
\\
6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane
and Solid Figures ($\approx$ 850) / This extract gives
an explicit statement and proof that the ratio of the
circumference to the diameter is constant / 36 \\
\\
7. M{\=a}dhava. The Power Series for Arctan and Pi
($\approx$ 1400) / These theorems by a fifteenth
century Indian mathematician give Gregory's series for
arctan with remainder terms and Leibniz's series for
$\pi$ / 45 \\
\\
8. Hope-Jones. Ludolph (or Ludolff or Lucius) van
Ceulen (1938) / Correspondence about van Ceulen's
tombstone in reference to it containing some digits of
$\pi$ / 51 \\
\\
9. Vi{\'e}te. Variorum de Rebus Mathematicis Reponsorum
Liber VII (1593) / Two excerpts. One containing the
first infinite expression of $\pi$, obtained by
relating the area of a regular $2n$-gon to that of a
regular $n$-gon / 53 \\
\\
10. Wallis. Computation of $\pi$ by Successive
Interpolations (1655) / How Wallis derived the infinite
product for $\pi$ that bears his name / 68 \\
\\
11. Wallis. Arithmetica Infinitorum (1655) / An excerpt
including Prop. 189, 191 and an alternate form of the
result that gives Wm. Brounker's continued fraction
expression for $4/\pi$ / 78 \\
\\
12. Huygens. De Circuli Magnitudine Inventa (1724) /
Huygens's proof of W. Snell's discovery of improvements
in Archimedes' method of estimating the lengths of
circular arcs / 81 \\
\\
13. Gregory. Correspondence with John Collins (1671) /
A letter to Collins in which he gives his series for
arctangent, carried to the ninth power. / 87 \\
\\
14. Roy. The Discovery of the Series Formula for $\pi$
by Leibniz, Gregory, and Nilakantha (1990) / A
discussion of the discovery of the series $\pi/4 = 1 -
1/3 + 1/5, \cdots{}$ / 92 \\
\\
15. Jones. The First Use of $\pi$ for the Circle Ratio
(1706) / An excerpt from Jones' book, the Synopsis
Palmariorum Matheseos: or, a New Introduction to the
Mathematics, London, 1706 / 108 \\
\\
16. Newton. Of the Method of Fluxions and Infinite
Series (1737) / An excerpt giving Newton's calculation
of $\pi$ to 16 decimal places / 110 \\
\\
17. Euler. Chapter 10 of Introduction to Analysis of
the Infinite (On the Use of the Discovered Fractions to
Sum Infinite Series) (1748) / This includes many of
Euler's infinite series for $\pi$ and powers of $\pi$ /
112 \\
\\
18. Lambert. M{\'e}moire Sur Quelques
Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s
Transcendentes Circulaires et Logarithmiques (1761) /
An excerpt from Lambert's original proof of the
irrationality of $\pi$ / 129 \\
\\
19. Lambert. Irrationality of $\pi$ (1969) / A
translation and Struik's discussion of Lambert's proof
of the irrationality of $\pi$ / 141 \\
\\
20. Shanks. Contributions to Mathematics Comprising
Chiefly of the Rectification of the Circle to 607
Places of Decimals (1853) / Pages from Shank's report
of his monumental hand calculation of $\pi$ / 147 \\
\\
21. Hermite. Sur La Fonction Exponentielle (1873) / The
first proof of the transcendence of $e$ / 162 \\
\\
22. Lindemann. Ueber die Zahl $\pi$ (1882) / The first
proof of the transcendence of $\pi$ / 194 \\
\\
23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die
Ludolphsche Zahl'' (1885) / Weierstrass' proof of the
transcendence of $\pi$ / 207 \\
\\
24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und
$\pi$ (1893) / Hilbert's short and elegant
simplification of the transcendence proofs for $e$ and
$\pi$ / 226 \\
\\
25. Goodwin. Quadrature of the Circle (1894) / The
dubious origin of the attempted legislation of the
value of $\pi$ in Indiana / 230 \\
\\
26. Edington. House Bill No. 246, Indiana State
Legislature, 1897 (1935) / A summary of the action
taken by the Indiana State Legislature to fix the value
of $\pi$ (including a copy of the actual bill that was
proposed) / 231 \\
\\
27. Singmaster. The Legal Values of Pi (1985) / A
history of the attempt by Indiana to legislate the
value of $\pi$ / 236 \\
\\
28. Ramanujan. Squaring the Circle (1913) / A geometric
approximation to $\pi$ / 240 \\
\\
29. Ramanujan. Modular Equations and Approximations to
$\pi$ (1914) / Ramanujan's seminal paper on $\pi$ that
includes a number of striking series and algebraic
approximations / 241 \\
\\
30. Watson. The Marquis and the Land Agent: A Tale of
the Eighteenth Century (1933) / A Presidential address
to the Mathematical Association in which the author
gives an account of ``some of the elementary work on
arcs and ellipses and other curves which led up to the
idea of inverting an elliptic integral, and so laying
the foundations of elliptic functions and doubly
periodic functions generally.'' / 258 \\
\\
31. Ballantine. The Best (?) Formula for Computing
$\pi$ to a Thousand Places (1939) / An early attempt to
orchestrate the calculation of $\pi$ more cleverly /
271 \\
\\
32. Birch. An Algorithm for Construction of Arctangent
Relations (1946) / The object of this note is to
express $\pi / 4 $ as a sum of arctan relations in
powers of 10 / 274 \\
\\
33. Niven. A Simple Proof that $\pi$ Is Irrational
(1947) / A very concise proof of the irrationality of
$\pi$ / 276 \\
\\
34. Reitwiesner. An ENIAC Determination of $\pi$ and
$e$ to 2000 Decimal Places (1950) / One of the first
computer-based computations / 277 \\
\\
35. Schepler. The Chronology of Pi (1950) / A fairly
reliable outline of the history of $\pi$ from 3000 BC
to 1949 / 282 \\
\\
36. Mahler. On the Approximation of $\pi$ (1953) /
``The aim of this paper is to determine an explicit
lower bound free of unknown constants for the distance
of $\pi$ from a given rational or algebraic number'' /
306 \\
\\
37. Wrench, Jr. The Evolution of Extended Decimal
Approximations to $\pi$ (1960) / A history of the
calculation of the digits of $\pi$ to 1960 \\
\\
38. Shanks and Wrench, Jr. Calculation of $\pi$ to
100,000 Decimals (1962) / A landmark computation of
$\pi$ to more than 100,000 places / 326 \\
\\
39. Sweeny. On the Computation of Euler's Constant
(1963) / The computation of Euler's constant to 3566
decimal places / 350 \\
\\
40. Baker. Approximations to the Logarithms of Certain
Rational Numbers (1964) / The main purpose of this deep
and fundamental paper is to ``deduce results concerning
the accuracy with which the natural logarithms of
certain rational numbers may be approximated by
rational numbers, or, more generally, by algebraic
numbers of bounded degree.'' / 359 \\
\\
41. Adams. Asymptotic Diophantine Approximations to $E$
(1966) / An asymptotic estimate for the rational
approximation to $e$ which disproves the conjecture
that $e$ behaves like almost all numbers in this
respect / 368 \\
\\
42. Mahler. Applications of Some Formulae by Hermite to
the Approximations of Exponentials of Logarithms (1967)
/ An important extension of Hilbert's approach to the
study of transcendence / 372 \\
\\
43. Eves. In Mathematical Circles; A Selection of
Mathematical Stories and Anecdotes (excerpt) (1969) / A
collection of mathematical stories and anecdotes about
$\pi$ / 400 \\
\\
44. Eves. Mathematical Circles Revisited; A Second
Collection of Mathematical Stories and Anecdotes
(excerpt) (1971) / A further collection of mathematical
stories and anecdotes about $\pi$ / 402 \\
\\
45. Todd. The Lemniscate Constants (1975) / A unifying
account of some of the methods used for computing the
lemniscate constants / 412 \\
\\
46. Salamin. Computation of r Using
Arithmetic-Geometric Mean (1976) / The first
quadratically converging algorithm for $\pi$ based on
Gauss's AGM and on Legendre's relation for elliptic
integrals / 418 \\
\\
47. Brent. Fast Multiple-Precision Evaluation of
Elementary Functions (1976) / ``This paper contains the
`Gauss-Legendre' method and some different algorithms
for log and exp (using Landen transformations).'' / 424
\\
\\
48. Beukers. A Note on the Irrationality of $\zeta(2)$
and $\zetq(3)$ (1979) / A short and elegant recasting
of Ap{\'e}ry's proof of the irrationality of $\zeta(3)$
(and $\zeta(2)$) / 434 \\
\\
49. van der Poorten. A Proof that Euler Missed \ldots{}
Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$
(1979) / An illuminating account of Ap{\'e}ry's
astonishing proof of the irrationality of $\zeta(3)$ /
439 \\
\\
50. Brent and McMillan. Some New Algorithms for
High-Precision Computation of Euler's Constant (1980) /
Several new algorithms for high precision calculation
of Euler's constant, including one which was used to
compute 30,100 decimal places / 448 \\
\\
51. Apostol. A Proof that Euler Missed: Evaluating
$\zeta(2)$ the Easy Way (1983) / This note shows that
one of the double integrals considered by Beukers ([48]
in the table of contents) can be used to establish
directly that $\zeta(2) = \pi / 6$ / 456 \\
\\
52. O'Shaughnessy. Putting God Back in Math (1983) / An
article about the Institute of Pi Research, an
organization that ``pokes fun at creationists by
pointing out that even the Bible makes mistakes.'' /
458 \\
\\
53. Stern. A Remarkable Approximation to $\pi$ (1985) /
Justification of the value of $\pi$ in the Bible
through numerological interpretations / 460 \\
\\
54. Newman and Shanks. On a Sequence Arising in Series
for $\pi$ (1984) / More connections between $\pi$ and
modular equations / 462 \\
\\
55. Cox. The Arithmetic-Geometric Mean of Gauss (1984)
/ An extensive study of the complex analytic properties
of the AGM / 481 \\
\\
56. Borwein and Borwein. The Arithmetic-Geometric Mean
and Fast Computation of Elementary Functions (1984) /
The relationship between the AGM iteration and fast
computation of elementary functions (one of the
by-products is an algorithm for $\pi$) / 537 \\
\\
57. Newman. A Simplified Version of the Fast Algorithms
of Brent and Salamin (1984) / Elementary algorithms for
evaluating $e^x$ and $\pi$ using the Gauss AGM without
explicit elliptic function theory / 553 \\
\\
58. Wagon. Is Pi Normal? (1985) / A discussion of the
conjecture that $\pi$ has randomly distributed digits /
557 \\
\\
59. Keith. Circle Digits: A Self-Referential Story
(1986) / A mnemonic for the first 402 decimal places of
$\pi$ / 560 \\
\\
60. Bailey. The Computation of $\pi$ to 29,360,000
Decimal Digits Using Borweins' Quartically Convergent
Algorithm (1988) / The algorithms used, both for $\pi$
and for performing the required multiple-precision
arithmetic / 562 \\
\\
61. Kanada. Vectorization of Multiple-Precision
Arithmetic Program and 201,326,000 Decimal Digits of 1
Calculation (1988) / Details of the computation and
statistical tests of the first 200 million digits of
$\pi$ / 576 \\
\\
62. Borwein and Borwein. Ramanujan and Pi (1988) / This
article documents Ramanujan's life, his ingenious
approach to calculating $\pi$, and how his approach is
now incorporated into modern computer algorithms / 588
\\
\\
63. Chudnovsky and Chudnovsky. Approximations and
Complex Multiplication According to Ramanujan (1988) /
This excerpt describes ``Ramanujan's original quadratic
period--quasiperiod relations for elliptic curves with
complex multiplication and their applications to
representations of fractions of $\pi$ and other
logarithms in terms of rapidly convergent nearly
integral (hypergeometric) series.'' / 596 \\
\\
64. Borwein, Borwein and Bailey. Ramanujan, Modular
Equations, and Approximations to Pi or How to Compute
One Billion Digits of Pi (1989) / An exposition of the
computation of $\pi$ using mathematics rooted in
Ramanujan's work / 623 \\
\\
65. Borwein, Borwein and Dilcher. Pi, Euler Numbers,
and Asymptotic Expansions (1989) / An explanation as to
why the slowly convergent Gregory series for $\pi$,
truncated at 500,000 terms, gives $\pi$ to 40 places
with only the 6th, 17th, 18th, and 29th places being
incorrect / 642 \\
\\
66. Beukers, B{\'e}zivin, and Robba. An Alternative
Proof of the Lindemann--Weierstrass Theorem (1990) /
The Lindemann--Weierstrass theorem as a by-product of a
criterion for rationality of solutions of differential
equations / 649 \\
\\
67. Webster. The Tail of Pi (1991) / Various anecdotes
about $\pi$ from the 14th annual IMO Lecture to the
Royal Society / 654 \\
\\
68. Eco. An excerpt from Foucault's Pendulum (1993) /
``The unnumbered perfection of the circle itself.'' /
658 \\
\\
69. Keith. Pi Mnemonics and the Art of Constrained
Writing (1996) / A mnemonic for $\pi$ based on Edgar
Allen Poe's poem ``The Raven.'' / 659 \\
\\
70. Bailey, Borwein, and Plouffe. On the Rapid
Computation of Various Polylogarithmic Constants (1996)
/ A fast method for computing individual digits of
$\pi$ in base 2 / 663 \\
Appendix I --- On the Early History of Pi / 677 \\
\\
Appendix II --- A Computational Chronology of Pi / 683
\\
\\
Appendix III --- Selected Formulae for Pi / 686 \\
\\
Appendix IV --- Translations of Vi{\`e}te and Huygens /
690 \\
Bibliography / 711 \\
\\
Credits / 717 \\
\\
Index / 721",
}
@Book{Berndt:2001:RES,
editor = "Bruce C. Berndt and Robert A. (Robert Alexander)
Rankin",
booktitle = "{Ramanujan}: essays and surveys",
title = "{Ramanujan}: essays and surveys",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xvi + 347",
year = "2001",
ISBN = "0-8218-2624-7",
ISBN-13 = "978-0-8218-2624-9",
ISSN = "0899-2428",
ISSN-L = "0899-2428",
LCCN = "QA29.R3 R29 2001",
MRnumber = "11-03, 01A70, 00B60, 01-06",
bibdate = "Sat Sep 3 16:48:18 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "History of mathematics",
ZMnumber = "1117.11002",
acknowledgement = ack-nhfb,
subject = "Ramanujan Aiyangar, Srinivasa; Mathematicians; India;
Biography; Number theory",
subject-dates = "1887--1920",
tableofcontents = "Bruce C. Berndt / The four photographs of Ramanujan
/ 3--8 \\
Bruce C. Berndt and Robert A. Rankin / The books
studied by Ramanujan in India / 9--15 \\
Bruce C. Berndt / The influence of Carr's synopsis on
Ramanujan / 17--20 \\
Bruce C. Berndt / The notebooks of Srinivasa Ramanujan
/ 21--22 \\
A recently discovered letter giving Ramanujan's
examination scores / 23 \\
S. Chandrasekhar / On Ramanujan / 25--27 \\
Robert A. Rankin / The Ramanujan family record / 29--38
\\
R. A. Rankin / Ramanujan as a patient / 41--64 \\
D. A. B. Young / Ramanujan's illness / 65--75 \\
S. Chandrasekhar / An incident in the life of S.
Ramanujan, F.R.S.: conversations with G. H. Hardy,
F.R.S. and J. E. Littlewood, F.R.S. and their sequel /
77--79 \\
Bruce C. Berndt / S. Janaki Ammal (Mrs. Ramanujan) /
83--87 \\
Pritish Nandy / Conversation: ``I didn't understand his
work, but I knew his worth'' / 89--93 \\
Bruce C. Berndt / A short biography of S. Narayana Iyer
/ 97--98 \\
S. Narayana Aiyar / The distribution of primes /
99--100 \\
S. Narayana Aiyar / Some theorems in summation /
101--103 \\
E. H. Neville / Srinivasa Ramanujan / 107--112 \\
University lectures in Madras / 113 \\
R. A. Rankin / Ramanujan's manuscripts and notebooks /
117--128 \\
R. A. Rankin / Ramanujan's manuscripts and notebooks.
II / 129--142 \\
Bruce C. Berndt / An overview of Ramanujan's notebooks
/ 143--164 \\
George E. Andrews / An introduction to Ramanujan's
``lost'' notebook / 165--184 \\
Jonathan M. Borwein and Peter B. Borwein / Ramanujan
and pi / 187--199 \\
Bruce C. Berndt / $\pi$ related developments since 1988
/ 201 \\
Atle Selberg / Reflections around the Ramanujan
centenary / 203--213 \\
Bruce C. Berndt, Youn-Seo Choi and Soon-Yi Kang / The
problems submitted by Ramanujan to the Journal of the
Indian Mathematical Society / 215--258 \\
Freeman J. Dyson / A walk through Ramanujan's garden /
261--275 \\
R. Askey / Ramanujan and hypergeometric and basic
hypergeometric series / 277--324 \\
G. N. Watson / The final problem: an account of the
mock theta functions / 325--347",
}
@Book{Engquist:2001:MUB,
editor = "Bj{\"o}rn Engquist and Wilfried Schmid",
booktitle = "Mathematics unlimited: 2001 and beyond",
title = "Mathematics unlimited: 2001 and beyond",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 1237",
year = "2001",
ISBN = "3-540-66913-2",
ISBN-13 = "978-3-540-66913-5",
LCCN = "QA7 .M32423 2001",
bibdate = "Mon Oct 31 14:18:00 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Science; Math\'ematiques; Sciences",
tableofcontents = "Nonlinear Continuum Physics / Stuart S. Antman \\
Computational Mechanics: Where Is It Going? / Ivo
Babu{\v{s}}ka and J. Tinsley Oden \\
From Finite Sets to Feynman Diagrams / John C. Baez and
James Dolan \\
Experimental Mathematics: Recent Developments and
Future Outlook / David H. Bailey and Jonathan M.
Borwein \\
Mathematical Aspects of Econometrics / Badi H. Baltagi
\\
Quantum Information / Ole E. Barndorff-Nielsen, Richard
D. Gill and Peter E. Jupp \\
$p$-Adic $L$-Functions of Modular Elliptic Curves /
Massimo Bertolini and Henri Darmon \\
Basis for a New Relationship Between Mathematics and
Society / Jean-Pierre Bourguignon \\
New Issues in the Mathematics of Control / Roger
Brockett",
}
@Book{Garvan:2001:SCN,
editor = "Frank (Frank G.) Garvan and Mourad Ismail",
booktitle = "Symbolic Computation, Number Theory, Special
Functions, Physics, and Combinatorics",
title = "Symbolic Computation, Number Theory, Special
Functions, Physics, and Combinatorics",
volume = "4",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "x + 283",
year = "2001",
ISBN = "1-4020-0101-0",
ISBN-13 = "978-1-4020-0101-7",
LCCN = "QA295 .S86 2001",
bibdate = "Sat Oct 30 17:31:50 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
prodorbis.library.yale.edu:7090/voyager",
series = "Developments in mathematics",
acknowledgement = ack-nhfb,
subject = "q-series; Congresses; Algebra; Data processing; Number
theory; Functions, Special; Mathematical physics;
Combinatorial analysis",
tableofcontents = "Preface \\
Participants \\
Gaussian hypergeometric series and combinatorial
congruences / Scott Ahlgren / 1--12 \\
A double bounded key identity for Gollnitz's (BIG)
partition theorem / Krishnaswami Alladi and Alexander
Berkovich / 13--32 \\
Engel expansions of q-series by computer algebra /
George E. Andrews, Arnold Knopfmacher and Peter Paule /
[and others] / 33--57 \\
Sums of squares and the preservation of modularity
under congruence restrictions / Paul T. Bateman, Boris
A. Datskovsky and Marvin I. Knopp / 59--71 \\
On the transformation formula for the Dedekind
eta-function / Bruce C. Berndt and K. Venkatachaliengar
/ 73--77 \\
Experiments and discoveries in q-trigonometry / R. Wm.
Gosper / 79--105 \\
Algebraic consequences of Jacobi's two- and four-square
theorems / Michael D. Hirschhorn and James A. McGowan /
107--132 \\
The Borweins' Cubic Theta Functions and q-Elliptic
Functions / Richard Lewis, Zhi-Guo Liu / 133--145 \\
Some Eisenstein Series Identities Associated with the
Borwein Functions / Zhi-Guo Liu / 147--169 \\
Hankel Determinants of Eisenstein Series / Stephen C.
Milne / 171--188 \\
Jacobi's Identity and Two K3-Surfaces / Maki Murata /
189--198 \\
$q$-Random Matrix Ensembles / K. A. Muttalib, Y. Chen,
M. E. H. Ismail / 199--221 \\
Differential Endomorphisms for Modular Forms On
$\Gamma_0(4)$ / Ken Ono / 223--229 \\
On the Asymptotics of Takeuchi Numbers / Thomas
Prellberg / 231--242 \\
Fine-Tuning Zeilberger's Algorithm / Axel Riese /
243--254 \\
Gaussian Integrals and the Rogers--Ramanujan Identities
/ D. Stanton / 255--265 \\
Some Remarks on a Product Expansion / M. V. Subbarao,
A. Verma / 267--283 \\
Back Matter / 285--285",
}
@Proceedings{Borwein:2002:MTC,
editor = "Jonathan M. Borwein and Maridee Morales and Konrad
Polthier and Jose Francisco Rodrigues",
booktitle = "Multimedia Tools for Communicating Mathematics",
title = "Multimedia Tools for Communicating Mathematics",
volume = "8",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 314",
year = "2002",
DOI = "https://doi.org/10.1007/978-3-642-56240-2",
ISBN = "3-540-42450-4 (hardcover)",
ISBN-13 = "978-3-540-42450-5 (hardcover)",
LCCN = "QA20.C65 M85 2002",
bibdate = "Tue Aug 16 08:52:06 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Mathematics and visualization",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002283245-d.html;
http://www.loc.gov/catdir/toc/fy032/2002283245.html",
abstract = "This book on multimedia tools for communicating
mathematics arose from presentations at an
international workshop organized by the Centro de
Matem{\'a}tica e Aplica{\c{c}}oes Fundamentais at the
University of Lisbon, in November 2000, with the
collaboration of the Sonderforschungsbereich 288 at the
University of Technology in Berlin, and of the Centre
for Experimental and Constructive Mathematics at Simon
Fraser University in Burnaby, Canada. The MTCM2000
meeting aimed at the scientific methods and algorithms
at work inside multimedia tools, and it provided an
overview of the range of present multimedia projects,
of their limitations and the underlying mathematical
problems. This book presents some of the tools and
algorithms currently being used to create new ways of
making enhanced interactive presentations and
multimedia courses. It is an invaluable and up-to-date
reference book on multimedia tools presently available
for mathematics and related subjects.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Computer-assisted instruction;
Interactive multimedia",
tableofcontents = "Front Matter / i--viii \\
1: Computer animated mathematics videotapes / Tom M.
Apostol / 1--27 \\
2: Virtual reconstruction of a virtual exhibit / Thomas
F. Banchoff and Davide P. Cervone / 29--38 \\
3: An intuitive approach to elementary mathematics on
the Web / Bruce Bauslaugh [and others] / 39--49 \\
4: {\em OpenMath\/} technology for interactive
mathematical documents / Olga Caprotti, Arjeh M. Cohen,
Hans Cuypers, Hans Sterk / 51--65 \\
5: The StageTools package for creating geometry for the
Web / Davide P. Cervone / 67--77 \\
6: Communicating and learning mathematics and
hypervideo / Teresa Chambel and Numo Guimar{\'a}es /
79--91 \\
7: Collaboration in a multimedia laboratory /
{\'E}liane Cousquer / 93--116 \\
8: jDvi, a way to put interactive {\TeX} on the Web /
Tim Hoffmann / 117--130 \\
9: Visual calculus, development and tools / Lawrence S.
Husch / 131--163 \\
Color Plates / 141 \\
10: EG-models --- a new journal for digital geometry
models / Michael Joswig and Konrad Polthier / 165--190
\\
11: Future of mathematical software / Ulrich H.
Kortenkamp / 191--201 \\
12: Dynamic setup for elementary geometry / Ulrich H.
Kortenkamp and J{\"u}rgen Richter-Gebert / 203--219 \\
13: Dynamic geometry on WWW / Gilles Kuntz / 221--229
\\
14: Minimalistic tools for mathematical multimedia /
Erich Neuwirth / 231--239 \\
15: Publication of interactive visualizations and Java
View / Konrad Polthier [and others] / 241--264 \\
16: Solver learning environment for solving
mathematical word problems: Pupils Discussions / Heli
Ruokamo / 265--276 \\
17: Interactive knot theory with KnotPlot / Robert G.
Scharein and Kellogg S. Booth / 277--290 \\
18: Developing Gato and CATBox with Python: Teaching
Graph Algorithms through Visualization and
Experimentation / Alexander Schliep and Winfried
Hochst{\"a}ttler / 291--309 \\
19: Rescalable real-time interactive computer
animations / John M. Sullivan / 311--214",
}
@Proceedings{Asperti:2003:MKM,
editor = "Andrea Asperti and Bruno Buchberger and James Harold
Davenport",
booktitle = "{Mathematical knowledge management: second
international conference, MKM 2003, Bertinoro, Italy,
February 16--18, 2003: proceedings}",
title = "{Mathematical knowledge management: second
international conference, MKM 2003, Bertinoro, Italy,
February 16--18, 2003: proceedings}",
volume = "2594",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 223",
year = "2003",
DOI = "https://doi.org/10.1007/3540364692",
ISBN = "3-540-00568-4 (softcover)",
ISBN-13 = "978-3-540-00568-1 (softcover)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "QA76.95 .I565 2003",
bibdate = "Sat Aug 13 17:26:10 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture notes in computer science",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2003042408-d.html",
acknowledgement = ack-nhfb,
meetingname = "International Conference on Mathematical Knowledge
Management (2nd: 2003: Bertinoro, Italy)",
subject = "Mathematics; Data processing; Congresses; Information
storage and retrieval systems; Automatic theorem
proving",
tableofcontents = "Digitisation, Representation, and Formalisation
(Digital Libraries of Mathematics) / Andrew A. Adams /
1 \\
MKM from Book to Computer: A Case Study / James H.
Davenport / 17 \\
From Proof-Assistants to Distributed Libraries of
Mathematics: Tips and Pitfalls / Claudio Sacerdoti Coen
/ 30 \\
Managing Digital Mathematical Discourse / Jonathan
Borwein and Terry Stanway / 45 \\
NAG Library Documentation / David Carlisle and Mike
Dewar / 56 \\
On the Roles of \LaTeX{} and MathML in Encoding and
Processing Mathematical Expressions / Luca Padovani /
66 \\
Problems and Solutions for Markup for Mathematical
Examples and Exercises / Georgi Goguadze, Erica Melis,
Carsten Ullrich and Paul Cairns / 80 \\
An Annotated Corpus and a Grammar Model of Theorem
Description / Yusuke Baba and Masakazu Suzuki / 93 \\
A Query Language for a Metadata Framework about
Mathematical Resources / Ferruccio Guidi and Irene
Schena / 105 \\
Information Retrieval in MML / Grzegorz Bancerek and
Piotr Rudnicki / 119 \\
An Expert System for the Flexible Processing of
XML-Based Mathematical Knowledge in a
PROLOG-Environment / Bernd D. Heumesser, Dietmar A.
Seipel and Ulrich Guntzer / 133 \\
Towards Collaborative Content Management and Version
Control for Structured Mathematical Knowledge / Michael
Kohlhase and Romeo Anghelache / 147 \\
On the Integrity of a Repository of Formalized
Mathematics / Piotr Rudnicki and Andrzej Trybulec / 162
\\
A Theoretical Analysis of Hierarchical Proofs / Paul
Cairns and Jeremy Gow / 175 \\
Comparing Mathematical Provers / Freek Wiedijk / 188
\\
Translating Mizar for First Order Theorem Provers /
Josef Urban / 203 \\
The Mathematical Semantic Web / Massimo Marchiori / 216
\\
Author Index / 225",
}
@Book{Michalos:2003:BTE,
editor = "Alex C. Michalos",
booktitle = "The best teacher {I} ever had: personal reports from
highly productive scholars",
title = "The best teacher {I} ever had: personal reports from
highly productive scholars",
publisher = "Althouse Press",
address = "London, ON, Canada",
pages = "294",
year = "2003",
ISBN = "0-920354-53-X",
ISBN-13 = "978-0-920354-53-7",
LCCN = "LA2321 .B47 2003",
bibdate = "Sat Sep 3 08:42:39 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
fsz3950.oclc.org:210/WorldCat",
abstract = "Alex Michalos wondered what Fellows of the Royal
Society of Canada would say, if asked to describe their
``best teacher'' and what their answers would disclose
about the effect these best teachers had on the lives
of some of Canada's most renowned scholars. Names range
from C.S. Lewis to J.R.R. Tolkien, from Northrop Frye
to Robertson Davies, from A.S.P. Woodhouse to Charles
Best to Karl Popper, Bruce Chalmers, and many, many
others.",
acknowledgement = ack-nhfb,
subject = "Teachers; Canada; Anecdotes; Teacher-student
relationships; Enseignants; Relations
enseignants-{\'e}l{\`e}ves; Teacher-student
relationships; Teachers",
tableofcontents = "1.John (Janos) Aczel on Lipot Fejer and others \\
2. Joseph Agassi on Karl Popper and other \\
3. Timothy E. Anna on John Tate Lanning \\
4. Paul E. Auger on Waldemar Lindgren \\
5. Karl T. Aust on Bruce Chambers \\
6. William A. Ayer on Karel Wiesner \\
7. Morrel P. Bachynski on Leon Katz \\
8. J. M. Bell on E. W. Crampton \\
9. R. G. S. Bidwell on Hugh P. Bell and Gleb Krotkov
\\
10. Marie-Claire Blais on Mother Saint-Alfreda \\
11. Michael Bliss on Evelyn G. Hicks \\
12. William F. Blissett on Blanche Tilton and others
\\
13. Joseph Bonefant on Robert Ricatte and other \\
14. Jonathan M. Borwein on David Borwein \\
15. John M. Bowman on Bruce Chown \\
16. Albert S. Bregman on William Jarvis McCurdy \\
17. Mario Bunge on guido Beck \\
18. Ken Carroll on James McCallum and others \\
19. Julia Ching on Man Wah Bentley \\
20. Colin W. Clark on David C. Murdoch \\
21. Ronald T. Coutts on Mr. McGregor and others \\
22. Harold G. Coward on Haryy Kreisel \\
23. James M. Daniels on James Wiles \\
24. Julian Davies on Mr. Finney and others \\
25. Henri Dorion on Louis-Edmond Hamelin \\
26. Leo Dreidger on H. Form and others \\
27. J. S. Dugdale on G. R. Noakes \\
28. Peter A. Egelstaff on ``Experience'' \\
29. Margrit Eichler on Ursula Franklin \\
30. Keith Ellis on Kurt Leopold Levy \\
31. J. David Embury on Alan Cottrell and others \\
32. James Allan Evans on Gordon Keyes \\
33. Emil L. Fackenheim on Adolph Loercher \\
34. Thomas Z. Fahidy on Fejes-Toth Laszlo \\
35. Harold J. Fallding on Jean Craig \\
36. A. Murray Fallis on F. B. Allan and others \\
37. Emmanuel Farber on Arthur Worth Ham \\
38. Tom Flanagan on Gerhart Niemeyer \\
39. Henry G. Friesen on Joseph Doupe and Edwin Astwood
\\
40. W. S. Fyfe on John Eccles and others \\
41. George D. Garland on D. A. F. Robinson and others
\\
42. Marc Gaudry on Henri Bouillard and others \\
43. Eville Gorham on Donald Crowdis and others \\
44. James Gray on C. S. Lewis \\
45. Leslie C. Green on L. F. W. White and others \\
46. Jean Grondin on Hans-George Gadamer \\
47. Wm. C. Gussow on W. H. Collins and others \\
48. Jean-Jacques Hamm on Charles Hummel \\
49. F. Kenneth Hare on Sidney William Woolridge \\
50. W. E. Harris on Laurine Bergen \\
51. Constance B. Hieatt on Jessie B. Winterbottom \\
52. John L. Holmes on J. A. G. Knight \\
53. Noel Hynes on Monsieur Largier \\
54. Jack Jacobs on Wlater Gage \\
55. R. Norman Jones on R. B. Wright \\
56. Harold Kalant on John Morrow and others \\
57. Morris Kates on Mr. Doherty \\
58. W. J. Keith on W. E. Barron and A. P. Rossiter \\
59. Bryce Kendrick on Will Kendrick \\
60. Nathan Keyfitz on Mr. Somerville and others \\
61. Jarmia Kukalova-Peck on Zdenek V. Spinar \\
62. Walter Kupsch on John Campbell Soroule \\
63. Phyllis Lambert on Richard Krautheimer \\
64. Jean Laponce on Andre Siegfried and others \\
65. Gary P. Latham on H. D. (Ace) Beach \\
66. Paul H. LeBlond on Ron Burling \\
67. William C. Leggett on Geoffrey Power \\
68. John Leslie on Anonymous \\
69. Kurt Levy on Federico de Onis \\
70. Douglas G. Lochhead on Robertson Davies and others
\\
71. Kenneth H. Mann on Mr. Coptcoat and others \\
72. Jean-Claude Marsan on Percy Johnson-Marshall \\
73. E. A. McCulloch on Almon Fletcher and others \\
74. Kenneth D. McRae on Harold Innis \\
75. John Meisel on Pani Sedlakova and others \\
76. JHugo A. Meynell on Miss Hawkins \\
77. Andrew D. Miall on Arnold Berry \\
78. Alex C. Michalos on J. Coert Rylaarsdam \\
79. William Michelson on Charles Tilly \\
80. Desmond MOrton on Mme. Sata and others \\
81. Robert G. E. Murray on Carl F. Robinow \\
82. M. Ram Murty and V. Kumar Murty on Mothers and
others \\
83. Ralph W. Nicholls on Cyril Baxter \\
84. Geoff Norris on Mr. Taylor and others \\
85. Christine Overall on Jack Stevenson \\
86. Marian A. Packham on John Satterly \\
87. T. R. Parsons on C. F. Kirby \\
88. Terence M. Penelhum on Miss Bignell \\
89. R. Larry Peterson on Harold Brodie \\
90. Lewis Payton on Russell McCormmach \\
91. James C. Reaney on Northrop Frye \\
92. Leonard W. Reeves on Joel Henry Hildebrand \\
93. D. Regan on Mr. Hinchcliffe and others \\
94. A. G. Rigg on A. R. Nutt and others \\
95. Bryon P. Rourke on Joseph Francis Kubis \\
96. Jean-Louis Roux on Pierre Angers and others \\
97. Martha Salcudean on Wilhelp Rohonyi \\
98. Indira V. Samarasekera on Keith Brimacombe \\
99. William A. Sarjeant on Leslie R. Moore and other
\\
100. Roger M. Savory on Vladimir Fedorovich Minorsky
\\
101. Michael Sayer on George George \\
102. Benjamin Schlesinger on Ray Godfrey \\
103. Morris Schnitzer on W. A. DeLong \\
104. R. J. Schoeck on Jacob Amacher and others \\
105. Carol Shields on Miss Pelsue \\
106. David E. Smith on Hartley Thomas and others \\
107. Victor Snieckus on Rube Sandin \\
108. Margaret A. Somerville on George Patrick Ganley
\\
109. Francis Sparshott on J. J. C. ``Jack'' Smart \\
110. George F. G. Stanley on A. L. Burt and others \\
111. Mary Eileen Stapleton Spencer on H. L. Holmes \\
112. Peter Suedfeld on Alice Lasker Ginott \\
113. Clara Thomas on A. S. P. Woodhouse \\
114. Anne B. Underhill on S. Chandrasekhar \\
115. M. C. Urquhart on George Alexander Elliott \\
116. Dennis E. Vance on Benton Naff and others \\
117. Sidney van den Bergh on Marcel Minnaert \\
118. Mladen Vranic on Charles Herbert Best \\
119. P. B. Waite on George Wilson \\
120. David Waterhouse on Muriel Denny and others \\
121. Morris Wayman on L. C. M. Pomeroy and Charles G.
Fraser \\
122. Christopher D. Webster on Kasper Neagle and others
\\
123. Roy A. Wise on Donald Olding Hebb \\
124. John H. Woods on Douglas Poole Dryer",
}
@Book{Berggren:2004:PSB,
editor = "Lennart Berggren and Jonathan Borwein and Peter
Borwein",
booktitle = "Pi: a source book",
title = "Pi: a source book",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "xx + 797",
year = "2004",
DOI = "https://doi.org/10.1007/978-1-4757-4217-6",
ISBN = "0-387-20571-3",
ISBN-13 = "978-0-387-20571-7",
MRclass = "11-00 (01A05 01A75 11-03)",
MRnumber = "2065455",
MRreviewer = "F. Beukers",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "CECM Preprint 2003:210.",
tableofcontents = "Preface to the Third Edition / v \\
Preface to the Second Edition / vi \\
Preface / vii \\
Acknowledgments / x \\
Introduction / xvii \\
1. The Rhind Mathematical Papyrus --- Problem 50
($\approx$1650 B.C.) / A problem dealing with the area
of a round field of given diameter / 1 \\
2. Engels / Quadrature of the Circle in Ancient Egypt
(1977) / A conjectural explanation of how the
mathematicians of ancient Egypt approximated the area
of a circle / 3 \\
3. Archimedes / Measurement of a Circle --- (-250 B.C.)
/ The seminal work in which Archimedes presents the
first true algorithm for $ \pi $ / 7 \\
4. Phillips / Archimedes the Numerical --- Analyst
(1981) / A summary of Archimedes' work on the
computation of $ \pi $ using modem notation / 15 \\
5. Lam and Ang / Circle Measurements in Ancient China
(1986) / This paper discusses and contains a
translation of Liu Hui's (3rd century) method for
evaluating $ \pi $ and also examines values for $ \pi $
given by Zu Chongzhi (429--500) / 20 \\
6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane
and Solid Figures (--850) / This extract gives an
explicit statement and proof that the ratio of the
circumference to the diameter is constant / 36 \\
7. M{\=a}dhava / The Power Series for Arctan and Pi
(-1400) / These theorems by a fifteenth century Indian
mathematician give Gregory's series for arctan with
remainder terms and Leibniz's series for $ \pi $ / 45
\\
8. Hope-Jones / Ludolph (or Ludolff or Lucius) van
Ceulen (1938) / Correspondence about van Ceulen's
tombstone in reference to it containing some digits of
$ \pi $ / 51 \\
9. Vi{\`e}te / \booktitle{Variorum de Rebus
Mathematicis Reponsorum Liber VII} (1593) / Two
excerpts. One containing the first infinite expression
of $ \pi $, obtained by relating the area of a regular
$2n$-gon to that of a regular $n$-gon / 53 \\
10. Wallis. Computation of $ \pi $ by Successive
Interpolations (1655) / How Wallis derived the infinite
product for $ \pi $ that bears his name / 68 \\
11. Wallis / \booktitle{Arithmetica Infinitorum} (1655)
/ An excerpt including Prop. 189, 191 and an alternate
form of the result that gives Wm. Brounker's continued
fraction expression for $ 4 / \pi$ / ?? \\
12. Huygens / \booktitle{De Circuli Magnitudine
Inventa} (1654) / Huygens's demonstration of how to
triple the number of correct decimals over those in
Archimedes' estimate of $ \pi $ / 81 13. Gregory /
Correspondence with John Collins (1671) / A letter to
Collins in which he gives his series for arctangent,
carried to the ninth power / 87 \\
14. Roy / The Discovery of the Series Formula for $ \pi
$ by Leibniz, Gregory, and Nilakantha (1990) / A
discussion of the discovery of the series $ \pi / 4 = 1
- 1/3 + 1/5 - \cdots{} $ / 92 \\
15. Jones / The First Use of $ \pi $ for the Circle
Ratio (1706) / An excerpt from Jones' book, the
\booktitle{Synopsis Palmariorum Matheseos: or, a New
Introduction to the Mathematics}, London, 1706 / 108
\\
16. Newton / Of the Method of Fluxions and Infinite
Series (1737) / An excerpt giving Newton's calculation
of $ \pi $ to 16 decimal places / 110 \\
17. Euler / Chapter 10 of \booktitle{Introduction to
Analysis of the Infinite (On the Use of the Discovered
Fractions to Sum Infinite Series)} (1748) / This
includes many of Euler's infinite series for $ \pi $
and powers of $ \pi $ / 112 \\
18. Lambert / \booktitle{M{\'e}moire Sur Quelques
Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s
Transcendentes Circulaires et Logarithmiques} (1761) /
An excerpt from Lambert's original proof of the
irrationality of $ \pi $ / 129 19. Lambert /
Irrationality of $ \pi $ (1969) / A translation and
Struik's discussion of Lambert's proof of the
irrationality of $ \pi $ / 141 \\
20. Shanks / Contributions to Mathematics Comprising
Chiefly of the Rectification of the Circle to 607
Places of Decimals (1853) / Pages from Shanks's report
of his monumental hand calculation of $ \pi $ / 147 \\
21. Hermite / \booktitle{Sur La Fonction Exponentielle}
(1873) / The first proof of the transcendence of $ e $
/ 162 \\
22. Lindemann / \booktitle{Ueber die Zahl $ \pi $}
(1882) / The first proof of the transcendence of $ \pi
$ / 194 23. Weierstrass / \booktitle{Zu Lindemann's
Abhandlung ``{\"U}ber die Ludolphsche Zahl''} (1885) /
Weierstrass' proof of the transcendence of $ \pi $ /
207 24. Hilbert / \booktitle{Ueber die Transzendenz der
Zahlen $ e $ und $ \pi $} (1893) / Hilbert's short and
elegant simplification of the transcendence proofs for
$ e $ and $ \pi $ / 226 25. Goodwin / Quadrature of the
Circle (1894) / The dubious origin of the attempted
legislation of the value of $ \pi $ in Indiana / 230
\\
26. Edington / House Bill No. 246, Indiana State
Legislature, 1897 (1935) / A summary of the action
taken by the Indiana State Legislature to fix the value
of $ \pi $ (including a copy of the actual bill that
was proposed) / 231 \\
27. Singmaster / The Legal Values of Pi (1985) / A
history of the attempt by Indiana to legislate the
value of $ \pi $ / 236 \\
28. Ramanujan / Squaring the Circle (1913) / A
geometric approximation to $ \pi $ / 240 \\
29. Ramanujan / Modular Equations and Approximations to
$ \pi $ (1914) / Ramanujan's seminal paper on pi that
includes a number of striking series and algebraic
approximations / 241 \\
30. Watson / The Marquis and the Land Agent: A Tale of
the Eighteenth Century (1933) / A Presidential address
to the Mathematical Association in which the author
gives an account of ``some of the elementary work on
arcs and ellipses and other curves which led up to the
idea of inverting an elliptic integral, and so laying
the foundations of elliptic functions and doubly
periodic functions generally.'' / ?? \\
31. Ballantine / The Best (?) Formula for Computing $
\pi $ to a Thousand Places (1939) / An early attempt to
orchestrate the calculation of $ \pi $ more cleverly /
271 \\
32. Birch / An Algorithm for Construction of Arctangent
Relations (1946) / The object of this note is to
express $ \pi / 4$ as a sum of arctan relations in
powers of 10 / 274 \\
33. Niven / A Simple Proof that $ \pi $ is Irrational
(1947) / A very concise proof of the irrationality of $
\pi $ / 276 \\
34. Reitwiesner / An ENIAC Determination of $ \pi $ and
$ e $ to 2000 Decimal Places (1950) / One of the first
computer-based computations / 277 \\
35. Schepler / The Chronology of Pi (1950) / A fairly
reliable outline of the history of $ \pi $ from 3000
B.C. to 1949 / 282 \\
36. Mahler / On the Approximation of $ \pi $ (1953) /
``The aim of this paper is to determine an explicit
lower bound free of unknown constants for the distance
of $ \pi $ from a given rational or algebraic number.''
/ 306 \\
37. Wrench, Jr. / The Evolution of Extended Decimal
Approximations to $ \pi $ (1960) / A history of the
calculation of the digits of $ \pi $ to 1960 / 319 \\
38. Shanks and Wrench, Jr. / Calculation of $ \pi $ to
100,000 Decimals (1962) / A landmark computation of $
\pi $ to more than 100,000 places / 326 39. Sweeny / On
the Computation of Euler's Constant (1963) / The
computation of Euler's constant to 3566 decimal places
/ 350 40. Baker / Approximations to the Logarithms of
Certain Rational Numbers (1964) / The main purpose of
this deep and fundamental paper is to ``deduce results
concerning the accuracy with which the natural
logarithms of certain rational numbers may be
approximated by rational numbers, or, more generally,
by algebraic numbers of bounded degree.'' / 359 \\
41. Adams / Asymptotic Diophantine Approximations to e
(1966) / An asymptotic estimate for the rational
approximation to $ e $ which disproves the conjecture
that $ e $ behaves like almost all numbers in this
respect / 368 \\
42. Mahler / Applications of Some Formulae by Hermite
to the Approximations of Exponentials of Logarithms
(1967) / An important extension of Hilbert's approach
to the study of transcendence / 372 43. Eves / In
Mathematical Circles; A Selection of Mathematical
Stories and Anecdotes (excerpt) (1969) / A collection
of mathematical stories and anecdotes about $ \pi $ /
456 \\
44. Eves / Mathematical Circles Revisited; A Second
Collection of Mathematical Stories and Anecdotes
(excerpt) (1971) / A further collection of mathematical
stories and anecdotes about $ \pi $ / 402 45. Todd /
The Lemniscate Constants (1975) / A unifying account of
some of the methods used for computing the lemniscate
constants / 412 \\
46. Salamin / Computation of $ \pi $ Using
Arithmetic--Geometric Mean (1976) / The first
quadratically converging algorithm for $ \pi $ based on
Gauss's AGM and on Legendre's relation for elliptic
integrals / 418 \\
47. Brent / Fast Multiple-Precision Evaluation of
Elementary Functions (1976) / ``This paper contains the
`Gauss--Legendre' method and some different algorithms
for $\log$ and $\exp$ (using Landen transformations).''
/ 424 \\
48. Beukers / A Note on the Irrationality of $ \zeta(2)
$ and $ \zeta(3) $ (1979) / A short and elegant
recasting of Apery's proof of the irrationality of
$\zeta(3)$ (and $\zeta(2)$) / 434 \\
49. van der Poorten / A Proof that Euler Missed
\ldots{} Apery's Proof of the Irrationality of $\zeta
(3)$ (1979) / An illuminating account of Apery's
astonishing proof of the irrationality of $\zeta (3)$ /
439 \\
50. Brent and McMillan / Some New Algorithms for
High-Precision Computation of Euler's Constant (1980) /
Several new algorithms for high-precision calculation
of Euler's constant, including one which was used to
compute 30,100 decimal places / 448 \\
51. Apostol / A Proof that Euler Missed: Evaluating
$\zeta(2)$ the Easy Way (1983) / This note shows that
one of the double integrals considered by Beukers ([48]
in the table of contents) can be used to establish
directly that $\zeta(2) = \pi^2 / 6$ / 456 \\
52. O'Shaughnessy / Putting God Back in Math (1983) /
An article about the Institute of Pi Research, an
organization that ``pokes fun at creationists by
pointing out that even the Bible makes mistakes.'' /
458 \\
53. Stern / A Remarkable Approximation to $ \pi $
(1985) / Justification of the value of $ \pi $ in the
Bible through numerological interpretations / 460 \\
54. Newman and Shanks / On a Sequence Arising in Series
for $ \pi $ (1984) / More connections between $ \pi $
and modular equations / 462 \\
55. Cox / The Arithmetic--Geometric Mean of Gauss
(1984) / An extensive study of the complex analytic
properties of the AGM / 481 \\
56. Borwein and Borwein / The Arithmetic--Geometric
Mean and Fast Computation of Elementary Functions
(1984) / The relationship between the AGM iteration and
fast computation of elementary functions (one of the
by-products is an algorithm for $ \pi $) / 537 57.
Newman / A Simplified Version of the Fast Algorithms of
Brent and Salamin (1984) / Elementary algorithms for
evaluating $ e^x $ and $ \pi $ using the Gauss AGM
without explicit elliptic function theory / 553 \\
58. Wagon / Is Pi Normal? (1985) / A discussion of the
conjecture that $ \pi $ has randomly distributed digits
/ 557 \\
59. Keith / Circle Digits: A Self-Referential Story
(1986) / A mnemonic for the first 402 decimal places of
$ \pi $ / 560 \\
60. Bailey / The Computation of $ \pi $ to 29,360,000
Decimal Digits Using Borwein's Quartically Convergent
Algorithm (1988) / The algorithms used, both for $ \pi
$ and for performing the required multiple-precision
arithmetic / 562 \\
61. Kanada / Vectorization of Multiple-Precision
Arithmetic Program and 201,326,000 Decimal Digits of $
\pi $ Calculation (1988) / Details of the computation
and statistical tests of the first 200 million digits
of $ \pi $ / 576 \\
62. Borwein and Borwein / Ramanujan and Pi (1988) /
This article documents Ramanujan's life, his ingenious
approach to calculating $ \pi $, and how his approach
is now incorporated into modern computer algorithms /
588 \\
63. Chudnovsky and Chudnovsky / Approximations and
Complex Multiplication According to Ramanujan (1988) /
This excerpt describes ``Ramanujan's original quadratic
period--quasiperiod relations for elliptic curves with
complex multiplication and their applications to
representations of fractions of $ \pi $ and other
logarithms in terms of rapidly convergent nearly
integral (hypergeometric) series.'' / 596 \\
64. Borwein, Borwein and Bailey / Ramanujan, Modular
Equations, and Approximations to Pi or How to Compute
One Billion Digits of Pi (1989) / An exposition of the
computation of $ \pi $ using mathematics rooted in
Ramanujan's work / 623 \\
65. Borwein, Borwein and Dilcher / Pi, Euler Numbers,
and Asymptotic Expansions (1989) / An explanation as to
why the slowly convergent Gregory series for $ \pi $,
truncated at 500,000 terms, gives $ \pi $ to 40 places
with only the 6th, 17th, 18th, and 29th places being
incorrect / 642 \\
66. Beukers, Bezivin, and Robba / An Alternative Proof
of the Lindemann--Weierstrass Theorem (1990) / The
Lindemann--Weierstrass theorem as a by-product of a
criterion for rationality of solutions of differential
equations / 649 \\
67. Webster / The Tale of Pi (1991) / Various anecdotes
about $ \pi $ from the 14th annual IMO Lecture to the
Royal Society / 654 \\
68. Eco / An excerpt from Foucault's Pendulum (1993) /
``The unnumbered perfection of the circle itself.'' /
658 \\
69. Keith / Pi Mnemonics and the Art of Constrained
Writing (1996) / A mnemonic for $ \pi $ based on Edgar
Allen Poe's poem ``The Raven.'' / 659 \\
70. Bailey, Borwein, and Plouffe / On the Rapid
Computation of Various Polylogarithmic Constants (1997)
/ A fast method for computing individual digits of $
\pi $ in base 2 / 663 \\
Appendix I --- On the Early History of Pi / 677 \\
Appendix II --- A Computational Chronology of Pi / 683
\\
Appendix III --- Selected Formulae for Pi / 686 \\
Appendix IV --- Translations of Viele and Huygens / 690
\\
Bibliography / 710 \\
Credits / 717 \\
A Pamphlet on Pi / 721 \\
Contents / 723 \\
1. Pi and Its Friends / 725 \\
2. Normality of Numbers / 741 \\
3. Historia Cyclometrica / 753 \\
4. Demotica Cyclometrica / 771 \\
References / 779 \\
Index / 783",
}
@Proceedings{Kisilevsky:2004:NTP,
editor = "Hershy Kisilevsky and Eyal Z. (Eyal Zvi) Goren",
booktitle = "Number theory. {Papers from the 7th conference of the
Canadian Number Theory Association, University of
Montreal, Montreal, QC, Canada, May 19--25, 2002}",
title = "Number theory. {Papers from the 7th conference of the
Canadian Number Theory Association, University of
Montreal, Montreal, QC, Canada, May 19--25, 2002}",
volume = "36",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xxiii + 303",
year = "2004",
ISBN = "0-8218-3331-6",
ISBN-13 = "978-0-8218-3331-5",
LCCN = "QA241 .N8645 2004",
bibdate = "Sat Aug 13 17:33:43 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "CRM proceedings and lecture notes",
abstract = "This volume contains a collection of articles from the
meeting of the Canadian Number Theory Association held
at the Centre de Recherches Math{\'e}matiques (CRM) at
the University of Montreal. The book represents a cross
section of current research and new results in number
theory. Topics covered include algebraic number theory,
analytic number theory, arithmetic algebraic geometry,
computational number theory, and Diophantine analysis
and approximation. The volume contains both research
and expository papers suitable for graduate students
and researchers interested in number theory.",
acknowledgement = ack-nhfb,
subject = "Number theory; Congresses",
tableofcontents = "List of Participants / vii \\
List of Speakers / xvii \\
Preface / xxiii \\
Mesure de Mahler et R{\'e}gulateur Elliptique: Preuve
de Deux Relations {\em Exotiques} / Marie Jos{\'e}
Bertin / 1 \\
The $p$-adic Height Pairings of Coleman--Gross and of
Nekovar / Amnon Besser / 13 \\
Dirichlet Series for Squares of Sums of Squares: A
Summary / Jonathan Michael Borwein and Kwok-Kwong
Stephen Choi / 27 \\
Equivariant Whitehead Torsion and Refined Euler
Characteristics / David Burns / 35 \\
Questions about the Reductions Modulo Primes of an
Elliptic Curve / Alina Garmen Gojocaru / 61 \\
New Perspectives in Arakelov Geometry / Caterina
Consani and Matilde Marcolli / 81 \\
A Fourteenth Lecture on Fermat's Last Theorem / Henri
Darmon / 103 \\
Number Fields with Large Class Group / William Duke /
117 \\
Period Polynomials for $\mathbb{F}_q$ of Fixed Small
Degree / Stanley J. Gurak / 127 \\
Some Recent Results about (Ternary) Quadratic Forms /
Jonathan Hanke / 147 \\
An Extension of a Theorem of D. H. Lehmer / Lenny Jones
/ 165 \\
On a Family of Real Bicyclic Biquadratic Fields /
Shin-ichi Katayama, Glaude Levesque, and Toru Nakahara
/ 177 \\
Belyi Parametrisations of Elliptic Curves and
Congruence Defects / Chandrashekhar Khare / 189 \\
An Application of Exterior Square Functoriality of
GL$_4$; Asai Lift / Henry H. Kim / 197 \\
Totally Real Integral Points on a Plane Algebraic Curve
/ Michel Laurent / 203 \\
On the Largest Prime Factor of a Mersenne Number / Leo
Murata and Carl Pomerance / 209 \\
On the $p$-Adic Series $\sum_{n = 1}^\infty n^k \cdot
n!$ / M. Ram Murty and Sarah Sumner / 219 \\
Hecke Operators and the $q$-Expansion of Modular Forms
/ Ken Ono / 229 \\
An ABC Construction of Number Fields / David P. Roberts
/ 237 \\
Diophantine Approximation in Small Degree / Damien Roy
/ 269 \\
Compact Operators with Rational Generation / Lawren
Smithline / 287 \\
The Canonical Height of a Finite {\'E}tale $K$-Algebra
/ Valerio Talamanca / 295",
}
@Book{Rowe:2005:EDC,
author = "Kerry Rowe and others",
booktitle = "Engines of Discovery: The 21st Century Revolution.
{The} Long Range Plan for {HPC} in {Canada}",
title = "Engines of Discovery: The 21st Century Revolution.
{The} Long Range Plan for {HPC} in {Canada}",
publisher = "NRC Press",
address = "????",
pages = "????",
month = aug,
year = "2005",
DOI = "",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Tue Aug 16 08:49:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "",
acknowledgement = ack-nhfb,
remark = "I cannot find this book in major library catalogs or
booksellers",
}
@Proceedings{Borwein:2006:MKM,
editor = "Jonathan M. Borwein and William Michael Farmer",
booktitle = "{Mathematical knowledge management: 5th international
conference, MKM 2006, Wokingham, UK, August 11--12,
2006: proceedings}",
title = "{Mathematical knowledge management: 5th international
conference, MKM 2006, Wokingham, UK, August 11--12,
2006: proceedings}",
volume = "4108",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 294",
year = "2006",
DOI = "https://doi.org/10.1007/11812289",
ISBN = "3-540-37104-4 (paperback)",
ISBN-13 = "978-3-540-37104-5 (paperback)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "QA76.95 .M56 2006",
bibdate = "Sat Aug 13 17:14:59 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture notes in computer science; Lecture notes in
artificial intelligence",
URL = "http://www.loc.gov/catdir/enhancements/fy0825/2006930246-d.html;
http://www.loc.gov/catdir/enhancements/fy1402/2006930246-t.html",
acknowledgement = ack-nhfb,
meetingname = "MKM 2006 (2006: Wokingham, England)",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
subject = "Mathematics; Data processing; Congresses; Information
storage and retrieval systems; Automatic theorem
proving",
tableofcontents = "Front Matter \\
Invited Talks \\
The Omega Number: Irreducible Complexity in Pure Math /
Gregory J. Chaitin / 1--1 \\
Roles of Math Search in Mathematics / Abdou Youssef /
2--16 \\
Contributed Papers \\
Structured Induction Proofs in Isabelle\slash Isar /
Makarius Wenzel / 17--30 \\
Interpretation of Locales in Isabelle: Theories and
Proof Contexts / Clemens Ballarin / 31--43 \\
A Dynamic Poincar{\'e} Principle / Manfred Kerber /
44--53 \\
A Proof-Theoretic Approach to Tactics / Kamal
Aboul-Hosn / 54--66 \\
A Formal Correspondence Between OMDoc with Alternative
Proofs and the $ \bar{\lambda} \mu \tilde{\mu}
$-Calculus / Serge Autexier, Claudio Sacerdoti-Coen /
67--81 \\
Proof Transformation by CERES / Matthias Baaz, Stefan
Hetzl, Alexander Leitsch, Clemens Richter, Hendrik
Spohr / 82--93 \\
Synthesizing Proof Planning Methods and $ \Omega $-Ants
Agents from Mathematical Knowledge / Serge Autexier,
Dominik Dietrich / 94--109 \\
Verifying and Invalidating Textbook Proofs Using Scunak
/ Chad E. Brown / 110--123 \\
Capturing Abstract Matrices from Paper / Toshihiro
Kanahori, Alan Sexton, Volker Sorge, Masakazu Suzuki /
124--138 \\
Towards a Parser for Mathematical Formula Recognition /
Amar Raja, Matthew Rayner, Alan Sexton, Volker Sorge /
139--151 \\
Stochastic Modelling of Scientific Terms Distribution
in Publications / Rimantas Rudzkis, Vaidas Balys,
Michiel Hazewinkel / 152--164 \\
Capturing the Content of Physics: Systems, Observables,
and Experiments / Eberhard R. Hilf, Michael Kohlhase,
Heinrich Stamerjohanns / 165--178 \\
Communities of Practice in MKM: An Extensional Model /
Andrea Kohlhase, Michael Kohlhase / 179--193 \\
From Notation to Semantics: There and Back Again / Luca
Padovani, Stefano Zacchiroli / 194--207 \\
Managing Informal Mathematical Knowledge: Techniques
from Informal Logic / Andrew Aberdein / 208--221 \\
From Untyped to Polymorphically Typed Objects in
Mathematical Web Services / William Naylor, Julian
Padget / 222--236 \\
Managing Automatically Formed Mathematical Theories /
Simon Colton, Pedro Torres, Paul Cairns, Volker Sorge /
237--250 \\
Authoring LeActiveMath Calculus Content / Paul
Libbrecht, Christian Gross / 251--265 \\
Information Retrieval and Rendering with MML Query /
Grzegorz Bancerek / 266--279 \\
Integrating Dynamic Geometry Software, Deduction
Systems, and Theorem Repositories / Pedro Quaresma,
Predrag Jani{\v{c}}i{\'c} / 280--294 \\
Back Matter",
}
@Book{Pearl:2007:OPT,
editor = "Elliott Pearl",
booktitle = "Open problems in topology {II}",
title = "Open problems in topology {II}",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "763",
year = "2007",
ISBN = "0-444-52208-5, 0-08-047529-9 (e-book)",
ISBN-13 = "978-0-444-52208-5, 978-0-08-047529-5 (e-book)",
LCCN = "QA611 .O562 2007",
bibdate = "Sat Aug 13 17:05:14 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Topology",
tableofcontents = "Part 1. General topology \\
Selected ordered space problems / Harold Bennett, David
Lutzer \\
Problems on star-covering properties / Maddalena
Bonanzinga, Mikhail Matveev \\
Function space topologies / Dimitris N. Georgiou,
Stavros D. Iliadis, Frederic Mynard \\
Spaces and mappings: special networks / Chuan Liu,
Yoshio Tanaka \\
Extension problems of real-valued continuous functions
/ Haruto Ohta, Kaori Yamazaki \\
L(Sigma)(k)-spaces / Oleg Okunev \\
Problems on (ir)resolvability / Oleg Pavlov \\
Topological games and Ramsey theory / Marion Scheepers
\\
Selection principles and special sets of reals / Boaz
Tsaban \\
Part 2. Set-theoretic topology \\
Introduction: twenty problems in set-theoretic topology
/ Michael Hrusak, Justin Tatch Moore \\
Thin-tall spaces and cardinal sequences / Joan Bagaria
\\
Sequential order / Alan Dow \\
On $D$-spaces / Todd Eisworth \\
The fourth head of $(\beta)N$ / Ilijas Farah \\
Are stratifiable spaces $M_1$? / Gary Gruenhage \\
Perfect compacts and basis problems in topology / Gary
Gruenhage, Justin Tatch Moore \\
Selection problems for hyperspaces / Valentin Gutev,
Tsugunori Nogura \\
Efimov's problem / Klaas Pieter Hart \\
Completely separable MAD families / Michael Hrusak,
Petr Simon \\
Good, splendid and Jakovlev / Istvan Juhasz, William A.
R. Weiss \\
Homogeneous compacta / Jan van Mill \\
Compact spaces with hereditarily normal squares /
Justin Tatch Moore \\
The metrization problem for Frechet groups / Justin
Tatch Moore, Stevo Todorcevic \\
Cech--Stone remainders of discrete spaces / Peter J.
Nyikos \\
First countable, countably compact, noncompact spaces /
Peter J. Nyikos \\
Linearly Lindelof problems / Elliott Pearl \\
Small Dowker spaces / Paul J. Szeptycki \\
Reflection of topological properties to N(subscript 1)
/ Franklin D. Tall \\
The Scarborough-Stone problem / Jerry E. Vaughan \\
Part 3. Continuum theory \\
Questions in and out of context / David P. Bellamy \\
An update on the elusive fixed-point property / Charles
L. Hagopian \\
Hyperspaces of continua / Alejandro Illanes \\
Inverse limits and dynamical systems / W. T. Ingram \\
Indecomposable continua / Wayne Lewis \\
Open problems on dendroids / Veronica
Martinez-de-la-Vega, Jorge M. Martinez-Montejano \\
1/2-Homogeneous continua / Sam B. Nadler, Jr. \\
Thirty open problems in the theory of homogeneous
continua / Janusz R. Prajs \\
Part 4. Topological algebra \\
Problems about the uniform structures of topological
groups / Ahmed Bouziad, Jean-Pierre Troallic \\
On some special classes of continuous maps / Maria
Manuel Clementino, Dirk Hofmann \\
Dense subgroups of compact groups / W. W. Comfort \\
Selected topics from the structure theory of
topological groups / Dikran Dikranjan, Dmitri
Shakhmatov \\
Recent results and open questions relating Chu duality
and Bohr compactifications of locally compact groups /
Jorge Galindo, Salvador Hernandez, Ta-Sun Wu \\
Topological transformation groups: selected topics /
Michael Megrelishvili \\
Forty-plus annotated questions about large topological
groups / Vladimir Pestov \\
Part 5. Dynamical systems \\
Minimal flows / William F. Basener, Kamlesh Parwani,
Tamas Wiandt \\
The dynamics of tiling spaces / Alex Clark \\
Open problems in complex dynamics and ``complex''
topology / Robert L. Devaney \\
The topology and dynamics of flows / Michael C.
Sullivan \\
Part 6. Computer Science \\
Computational topology / Denis Blackmore, Thomas J.
Peters \\
Part 7. Functional analysis \\
Non-smooth analysis, optimisation theory and Banach
space theory / Jonathan M. Borwein, Warren B. Moors \\
Topological structures of ordinary differential
equations / V. V. Filippov \\
The interplay between compact spaces and the Banach
spaces of their continuous functions / Piotr Koszmider
\\
Tightness and $t$-equivalence / Oleg Okunev \\
Topological problems in nonlinear and functional
analysis / Biagio Ricceri \\
Twenty questions on metacompactness in function spaces
/ V. V. Tkachuk \\
Part 8. Dimension theory \\
Open problems in infinite-dimensional topology / Taras
Banakh, Robert Cauty, Michael Zarichnyi \\
Classical dimension theory / Vitalij A. Chatyrko \\
Questions on weakly infinite-dimensional spaces /
Vitalii V. Fedorchuk \\
Some problems in the dimension theory of compacta /
Boris A. Pasynkov \\
Part 9. Invited problems \\
Problems from the Lviv topological seminar / Taras
Banakh, Bohdan Bokalo, Igor Guran, Taras Radul, Michael
Zarich-nyi \\
Problems from the Bizerte-Sfax-Tunis seminar / Othman
Echi, Habib Marzougui, Ezeddine Salhi \\
Cantor set problems / Dennis J. Garity, Dusan Repovs
\\
Problems from the Galway topology colloquium / Chris
Good, Andrew Marsh, Aisling McCluskey, Brian McMaster
\\
The lattice of quasi-uniformities / Eliza P. de Jager,
Hans-Peter A. Kunzi \\
Topology in North Bay: some problems in continuum
theory, dimension theory and selections / Alexandre
Karasev, Murat Tuncali, Vesko Valov \\
Moscow questions on topological algebra / Konstantin L.
Kozlov, Evgenii A. Reznichenko, Ol'ga V. Sipacheva \\
Some problems from George Mason University / John
Kulesza, Ronnie Levy, Mikhail Matveev \\
Some problems on generalized metrizable spaces / Shou
Lin \\
Problems from the Madrid Department of Geometry and
Topology / Jose M. R. Sanjurjo \\
Cardinal sequences and universal spaces / Lajos
Soukup",
}
@Book{Borwein:2008:CMD,
editor = "Jonathan M. Borwein and E. M. (Eugenio M.) Rocha and
Jos{\'e}-Francisco Rodrigues",
booktitle = "Communicating Mathematics in the Digital Era",
title = "Communicating Mathematics in the Digital Era",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "xii + 325",
year = "2008",
DOI = "https://doi.org/10.1201/b10587",
ISBN = "1-56881-410-0",
ISBN-13 = "978-1-56881-410-0",
LCCN = "QA76.95 .C59 2008",
bibdate = "Tue Nov 10 17:48:02 MST 2009",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/toc/fy0903/2008022183.html",
acknowledgement = ack-nhfb,
libnote = "Not in my library.",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "This book reflects many of the contributions \ldots{}
that were delivered and discussed at the ICM 2006
satellite meeting entitled ``Communicating Mathematics
in the Digital Era'' (CMDE2006), which took place at
the University of Aveiro in Portugal, August 15--18,
2006.",
subject = "mathematics; data processing; congresses; libraries
and electronic publishing; image processing; digital
techniques",
tableofcontents = "Front Matter / i \\
Part I. Electronic Publishing and Digital Libraries / 1
\\
1. Disseminating and Preserving Mathematical Knowledge
/ E. M. Rocha / 3 \\
2. The Digital Downside / J. Ewing / 23 \\
3. Implementing Electronic Access for an Independent
Journal / K. Kaiser / 31 \\
4. Toward a Digital Mathematics Library? / T. Bouche /
47 \\
5. The DML-CZ Project / M. Barto{\v{s}}ek, M.
Lhot{\'a}k, J. R{\'a}kosn{\'\i}k, P. Sojka, M.
{\v{S}}{\'a}rfy / 75 \\
6. The DML-E Digitization Project and Related Topics /
E. Mac{\'\i}as-Virg{\'o}s / 87 \\
7. Digital Libraries and the Rebirth of Printed
Journals / J. Borbinha / 97 \\
8. A Digital Library Framework for the University of
Aveiro / M. Fernandes, P. Almeida, J. A. Martins, J. S.
Pinto / 111 \\
Part 2. Technology Enhancements for Disseminating
Mathematics / 125 \\
9. Coast-to-Coast (C2C) Seminar / J. Borwein, V.
Jungi{\'c}, D. Langstroth, M. Macklem, S. Wilson / 127
\\
10. Digitally Enhanced Documents / K. Kanev, N.
Mirenkov, N. Kamiya / 141 \\
11. Speech and Tactile Assistive Technologies / C.
Bernareggi, V. Brigatti, D. Campanozzi, A. Messini /
157 \\
12. On the Conversion between Content MathML and
OpenMath / C. M. So, S. M. Watt / 169 \\
13. XML-Based Format for Geometry / P. Quaresma, P.
Jani{\v{c}}i{\'c}. Toma{\v{s}}evi{\'c}, M.
V.-Jani{\v{c}}i{\'c}, and D. To{\v{s}}i{\'c} / 183 \\
14. From Parametrized Graphics to Interactive
Illustrations / M. Kraus / 199 \\
Part 3. Educational and Cultural Frameworks / 213 \\
15. Reaching Mathematical Audiences across All Levels /
T. Banchoff / 215 \\
16. Toward Autonomous Learners of Mathematics / Olga
Caprott, Mika Sepp{\"a}l{\"a}, Sebastian Xamb{\'o} /
225 \\
17. The IntBook Concept as an Adaptive Web Environment
/ A. Breda, T Parreira, E. M. Rocha / 239 \\
18. An Educational Environment Based on Ontology / K.
Sugita, T. Goto, T. Yaku, K. Tsuchida / 255 \\
19. Art and Mathematics / M. Francaviglia, M. G.
Lorenzi, P. Pantano / 265 \\
Appendix A. List of C2C Past Talks / 279 \\
Appendix B. Guidelines for Managing a Distributed
Seminar / 281 \\
Appendix C. Curriculum Guideline and Mathtext Example /
295 \\
Bibliography / 299 \\
List of URLs / 313 \\
Contributors / 319",
}
@Book{Gold:2008:POD,
editor = "Bonnie Gold and Roger A. Simons",
booktitle = "Proof and Other Dilemmas: Mathematics and Philosophy",
title = "Proof and Other Dilemmas: Mathematics and Philosophy",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "xxxii + 346",
year = "2008",
ISBN = "0-88385-567-4",
ISBN-13 = "978-0-88385-567-6",
LCCN = "QA8.4 .P755 2008",
bibdate = "Sat Aug 13 16:35:52 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Spectrum series",
URL = "http://www.loc.gov/catdir/enhancements/fy0916/2008922718-b.html;
http://www.loc.gov/catdir/enhancements/fy0916/2008922718-d.html;
http://www.loc.gov/catdir/enhancements/fy0916/2008922718-t.html",
acknowledgement = ack-nhfb,
subject = "Mathematics; Philosophy",
tableofcontents = "Proof and how it is changing \\
Proof: its nature and significance / Michael Detlefsen
\\
Implications of experimental mathematics for the
philosophy of mathematics / Jonathan Borwein / 33--59 \\
On the roles of proof in mathematics / Joseph Auslander
\\
Social constructivist views of mathematics \\
When is a problem solved? / Philip J. Davis \\
Mathematical practice as a scientific problem / Reuben
Hersh \\
Mathematical domains: social constructs? / Julian Cole
\\
The nature of mathematical objects and mathematical
knowledge \\
The existence of mathematical objects / Charles Chihara
\\
Mathematical objects / Stewart Shapiro \\
Mathematical platonism / Mark Balaguer \\
The nature of mathematical objects / \cents{}ystein
Linnebo \\
When is one thing equal to some other thing? / Barry
Mazur \\
The nature of mathematics and its applications \\
Extreme science: mathematics as the science of
relations as such / R. S. D. Thomas \\
What is mathematics? A pedagogical answer to a
philosophical question / Guershon Harel \\
What will count as mathematics in 2100? / Keith Devlin
\\
Mathematics applied: the case of addition / Mark
Steiner \\
Probability: a philosophical overview / Alan
H{\'a}jek",
}
@Proceedings{IEEE:2008:HIS,
editor = "{IEEE}",
booktitle = "{HPCS 2006: [20th International Symposium on
High-Performance Computing in an Advanced Collaborative
Environment]; 20th anniversary of HPCS; hosted by
ACEnet at Memorial University of Newfoundland, [St.
John's], May 14th--17th 2006; [co-hosted with OSCAR
2006]}",
title = "{HPCS 2006: [20th International Symposium on
High-Performance Computing in an Advanced Collaborative
Environment]; 20th anniversary of HPCS; hosted by
ACEnet at Memorial University of Newfoundland, [St.
John's], May 14th--17th 2006; [co-hosted with OSCAR
2006]}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "284",
year = "2008",
ISBN = "0-7695-2582-2, 0-7695-3200-4",
ISBN-13 = "978-0-7695-2582-2, 978-0-7695-3200-4",
LCCN = "QA76.88 .I5858 2006",
bibdate = "Sat Aug 13 17:18:20 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Lin:2009:PPM,
editor = "Fou-lai Lin",
booktitle = "{Proof and Proving in Mathematics Education: ICMI
Study 19 Conference Proceedings = shu xue zheng ming yu
lun zheng de jiao yu xue}",
title = "{Proof and Proving in Mathematics Education: ICMI
Study 19 Conference Proceedings = shu xue zheng ming yu
lun zheng de jiao yu xue}",
publisher = "Department of Mathematics, National Taiwan Normal
University",
address = "Taipei, Taiwan",
pages = "????",
year = "2009",
ISBN = "986-01-8210-8",
ISBN-13 = "978-986-01-8210-1",
LCCN = "QA109; QA11.A1; QA9.54",
bibdate = "Tue Jan 3 08:26:06 MST 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "2 volumes",
acknowledgement = ack-nhfb,
meetingname = "ICMI Study 19: Proof and Proving in Mathematics
Education (2009 Taipei, Taiwan)",
remark = "Held on May 10-15, 2009 at National Taiwan Normal
University, Taipei, Taiwan.",
subject = "Mathematics; Study and teaching; Congresses; Proof
theory; Study and teaching.; Proof theory.",
}
@Proceedings{Amdeberhan:2010:GEM,
editor = "Tewodros Amdeberhan and Luis A. Medina and Victor H.
Moll",
booktitle = "Gems in experimental mathematics: {AMS Special
Session, Experimental Mathematics, January 5, 2009,
Washington, DC}",
title = "Gems in experimental mathematics: {AMS Special
Session, Experimental Mathematics, January 5, 2009,
Washington, DC}",
volume = "517",
publisher = pub-AMS,
address = pub-AMS:adr,
year = "2010",
DOI = "https://doi.org/10.1090/conm/517",
ISBN = "0-8218-4869-0, 0-8218-8196-5 (e-book)",
ISBN-13 = "978-0-8218-4869-2, 978-0-8218-8196-5 (e-book)",
LCCN = "QA164 .A475 2009",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
aseries = "Contemp. Math.",
remark = "This collection [of papers] is a continuation of Tapas
in experimental mathematics, volume 457 [Contemporary
Mathematics series]..",
tableofcontents = "The art of finding Calabi--Yau differential
equations. Dedicated to the 90-th birthday of Lars
G{\"a}rding / Gert Almkvist /
doi:10.1090/conm/517/10129 \\
A note on a question due to A. Garsia / Tewodros
Amdeberhan / doi:10.1090/conm/517/10130 \\
Experimental computation with oscillatory integrals /
David H. Bailey and Jonathan M. Borwein /
doi:10.1090/conm/517/10131 \\
Experimental mathematics and mathematical physics /
David H. Bailey, Jonathan M. Borwein, David Broadhurst
and Wadim Zudilin / doi:10.1090/conm/517/10132 \\
An extension of the parallel Risch algorithm / Stefan
T. Boettner / doi:10.1090/conm/517/10133 \\
Appell polynomials and their zero attractors / Robert
P. Boyer and William M. Y. Goh /
doi:10.1090/conm/517/10134 \\
Congruences for Stirling numbers of the second kind /
O-Yeat Chan and Dante Manna /
doi:10.1090/conm/517/10135 \\
Expressions for harmonic number exponential generating
functions / Mark W. Coffey / doi:10.1090/conm/517/10136
\\
Theory of log-rational integrals / Richard E. Crandall
/ doi:10.1090/conm/517/10137 \\
A new algorithm for the recursion of hypergeometric
multisums with improved universal denominator / Stavros
Garoufalidis and Xinyu Sun / doi:10.1090/conm/517/10138
\\
The method of brackets. Part 2: examples and
applications / Ivan Gonzalez, Victor H. Moll and Armin
Straub / doi:10.1090/conm/517/10139 \\
History of the formulas and algorithms for $\pi $ /
Jes{\'u}s Guillera / doi:10.1090/conm/517/10140 \\
A matrix form of Ramanujan-type series for $1/\pi $ /
Jes{\'u}s Guillera / doi:10.1090/conm/517/10141 \\
An algorithmic approach to the Mellin transform method
/ Karen Kohl and Flavia Stan /
doi:10.1090/conm/517/10142 \\
Eliminating human insight: an algorithmic proof of
Stembridge's TSPP theorem / Christoph Koutschan /
doi:10.1090/conm/517/10143 \\
Towards the Koch snowflake fractal billiard: computer
experiments and mathematical conjectures / Michel L.
Lapidus and Robert G. Niemeyer /
doi:10.1090/conm/517/10144 \\
An experimental mathematics perspective on the old, and
still open, question of when to stop? / Luis A. Medina
and Doron Zeilberger / doi:10.1090/conm/517/10145 \\
The distance to an irreducible polynomial / Michael J.
Mossinghoff / doi:10.1090/conm/517/10146 \\
Square roots of $2\times 2$ matrices / Sam Northshield
/ doi:10.1090/conm/517/10147 \\
On a series of Ramanujan / Olivier Oloa /
doi:10.1090/conm/517/10148 \\
Finite analogs of Szemer{\'e}di's theorem / Paul Raff
and Doron Zeilberger / doi:10.1090/conm/517/10149 \\
Towards an automation of the circle method / Andrew V.
Sills / doi:10.1090/conm/517/10150 \\
The greatest common divisor of $a\^n-1$ and $b\^n-1$
and the Ailon-Rudnick conjecture / Joseph H. Silverman
/ doi:10.1090/conm/517/10151 \\
Which partial sums of the Taylor series for $e$ are
convergents to $e$? (and a link to the primes 2, 5, 13,
37, 463). Part II / Jonathan Sondow and Kyle Schalm /
doi:10.1090/conm/517/10152 \\
Experimentation at the frontiers of reality in Schubert
calculus / Christopher Hillar, Luis Garc{\'i}a-Puente,
Abraham Mart{\'i}n del Campo, James Ruffo, Zach
Teitler, Stephen L. Johnson and Frank Sottile /
doi:10.1090/conm/517/10153 \\
On ${\rm Sp}\_4$ modularity of Picard-Fuchs
differential equations for Calabi--Yau threefolds /
Yifan Yang and Wadim Zudilin /
doi:10.1090/conm/517/10154",
}
@Book{Bauschke:2011:FPA,
editor = "Heinz H. Bauschke and Regina S. Burachik and Patrick
Louis Combettes and Veit Elser and D. Russell Luke and
Henry Wolkowicz",
booktitle = "Fixed-point algorithms for inverse problems in science
and engineering",
title = "Fixed-point algorithms for inverse problems in science
and engineering",
volume = "49",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 402",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-9569-8",
ISBN = "1-4419-9568-4, 1-4419-9569-2 (e-book)",
ISBN-13 = "978-1-4419-9568-1, 978-1-4419-9569-8 (e-book)",
ISSN = "1931-6828 (print), 1931-6836 (electronic)",
ISSN-L = "1931-6828",
LCCN = "QA378.5 .F59 2011",
bibdate = "Sat Aug 13 15:57:02 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer optimization and its applications",
URL = "http://0-dx.doi.org.fama.us.es/10.1007/978-1-4419-9569-8",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Burachik,
Regina/0000-0003-1332-6213; Martin Marquez,
Victoria/0000-0002-8963-9825",
subject = "Inverse problems (Differential equations); Fixed point
theory",
tableofcontents = "Front Matter / i--xi \\
Chebyshev Sets, Klee Sets, and Chebyshev Centers with
Respect to Bregman Distances: Recent Results and Open
Problems / Heinz H. Bauschke, Mason S. Macklem, Xianfu
Wang / 1--21 \\
Self-Dual Smooth Approximations of Convex Functions via
the Proximal Average / Heinz H. Bauschke, Sarah M.
Moffat, Xianfu Wang / 23--32 \\
A Linearly Convergent Algorithm for Solving a Class of
Nonconvex\slash Affine Feasibility Problems / Amir
Beck, Marc Teboulle / 33--48 \\
The Newton Bracketing Method for Convex Minimization:
Convergence Analysis / Adi Ben-Israel, Yuri Levin /
49--64 \\
Entropic Regularization of the $ \ell_0 $ Function /
Jonathan M. Borwein, D. Russell Luke / 65--92 \\
The Douglas--Rachford Algorithm in the Absence of
Convexity / Jonathan M. Borwein, Brailey Sims / 93--109
\\
A Comparison of Some Recent Regularity Conditions for
Fenchel Duality / Radu Ioan Bo, Ern{\"o} Robert Csetnek
/ 111--130 \\
Non-Local Functionals for Imaging / J{\'e}r{\^o}me
Boulanger, Peter Elbau, Carsten Pontow, Otmar Scherzer
/ 131--154 \\
Opial-Type Theorems and the Common Fixed Point Problem
/ Andrzej Cegielski, Yair Censor / 155--183 \\
Proximal Splitting Methods in Signal Processing /
Patrick L. Combettes, Jean-Christophe Pesquet /
185--212 \\
Arbitrarily Slow Convergence of Sequences of Linear
Operators: A Survey / Frank Deutsch, Hein Hundal /
213--242 \\
Graph-Matrix Calculus for Computational Convex Analysis
/ Bryan Gardiner, Yves Lucet / 243--259 \\
Identifying Active Manifolds in Regularization Problems
/ W. L. Hare / 261--271 \\
Approximation Methods for Nonexpansive Type Mappings in
Hadamard Manifolds / Genaro L{\'o}pez, Victoria
Mart{\'\i}n-M{\'a}rquez / 273--299 \\
Existence and Approximation of Fixed Points of Bregman
Firmly Nonexpansive Mappings in Reflexive Banach Spaces
/ Simeon Reich, Shoham Sabach / 301--316 \\
Regularization Procedures for Monotone Operators:
Recent Advances / J. P. Revalski / 317--344 \\
Minimizing the Moreau Envelope of Nonsmooth Convex
Functions over the Fixed Point Set of Certain
Quasi-Nonexpansive Mappings / Isao Yamada, Masahiro
Yukawa, Masao Yamagishi / 345--390 \\
The Br{\'e}zis--Browder Theorem Revisited and
Properties of Fitzpatrick Functions of Order $n$ /
Liangjin Yao / 391--402",
}
@Book{Hanna:2012:PPM,
editor = "Gila Hanna and Michael {de Villiers}",
booktitle = "Proof and proving in mathematics education: the {19th}
{ICMI} study",
title = "Proof and proving in mathematics education: the {19th}
{ICMI} study",
volume = "15",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 475",
year = "2012",
DOI = "https://doi.org/10.1007/978-94-007-2129-6",
ISBN = "94-007-2128-5, 94-007-2129-3 (e-book)",
ISBN-13 = "978-94-007-2128-9, 978-94-007-2129-6 (e-book)",
LCCN = "QA9.54 .P766 2012",
bibdate = "Sat Aug 13 15:43:33 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "New ICMI study series",
URL = "http://www.springerlink.com/content/978-94-007-2129-6",
acknowledgement = ack-nhfb,
remark = "Humanities, Social Science and Law (Springer-11648).",
subject = "Education; Mathematics",
tableofcontents = "Front Matter / i--xii \\
Aspects of Proof in Mathematics Education / Gila Hanna,
Michael de Villiers / 1--10 \\
Proof and Cognition \\
Front Matter / 11--11 \\
Proof and cognition \\
Cognitive Development of Proof / David Tall, Oleksiy
Yevdokimov, Boris Koichu, Walter Whiteley, Margo
Kondratieva, Ying-Hao Cheng / 13--49 \\
Theorems as Constructive Visions / Giuseppe Longo /
51--66 \\
Experimentation: Challenges and Opportunities \\
Front Matter / 67--67 \\
Experimentation: Challenges and opportunities \\
Exploratory Experimentation: Digitally-Assisted
Discovery and Proof / Jonathan Michael Borwein / 69--96
\\
Experimental Approaches to Theoretical Thinking:
Artefacts and Proofs / Ferdinando Arzarello, Maria
Giuseppina Bartolini Bussi, Allen Yuk Lun Leung, Maria
Alessandra Mariotti, Ian Stevenson / 97--143 \\
Historical and Educational Perspectives of Proof \\
Front Matter / 145--145 \\
Historical and educational perspectives of proof \\
Why Proof? A Historian's Perspective / Judith V.
Grabiner / 147--167 \\
Conceptions of Proof --- In Research and Teaching /
Richard Cabassut, AnnaMarie Conner, Filyet Asl{\i}
{\.I}{\c{s}}{\c{c}}imen, Fulvia Furinghetti, Hans Niels
Jahnke, Francesca Morselli / 169--190 \\
Forms of Proof and Proving in the Classroom / Tommy
Dreyfus, Elena Nardi, Roza Leikin / 191--213 \\
The Need for Proof and Proving: Mathematical and
Pedagogical Perspectives / Orit Zaslavsky, Susan D.
Nickerson, Andreas J. Stylianides, Ivy Kidron, Greisy
Winicki-Landman / 215--229 \\
Contemporary Proofs for Mathematics Education / Frank
Quinn / 231--257 \\
Proof in the School Curriculum \\
Front Matter / 259--259 \\
Proof in the school curriculum \\
Proof, Proving, and Teacher-Student Interaction:
Theories and Contexts / Keith Jones, Patricio Herbst /
261--277 \\
From Exploration to Proof Production / Feng-Jui Hsieh,
Wang-Shian Horng, Haw-Yaw Shy / 279--303 \\
Principles of Task Design for Conjecturing and Proving
/ Fou-Lai Lin, Kai-Lin Yang, Kyeong-Hwa Lee, Micha{\l}
Tabach, Gabriel Stylianides / 305--325 \\
Teachers' Professional Learning of Teaching Proof and
Proving / Fou-Lai Lin, Kai-Lin Yang, Jane-Jane Lo,
Pessia Tsamir, Dina Tirosh, Gabriel Stylianides /
327--346 \\
Argumentation and Transition to Tertiary Level \\
Front Matter / 347--347",
}
@Book{Bailey:2013:CAM,
editor = "David H. Bailey and Heinz H. Bauschke and Peter
Borwein and Frank Garvan and Michel Th{\'e}ra and Jon
D. Vanderwerff and Henry Wolkowicz",
booktitle = "Computational and analytical mathematics: in honor of
{Jonathan Borwein}'s 60th Birthday",
title = "Computational and analytical mathematics: in honor of
{Jonathan Borwein}'s 60th Birthday",
volume = "50",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 701",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7621-4",
ISBN = "1-4614-7620-8, 1-4614-7621-6 (e-book)",
ISBN-13 = "978-1-4614-7620-7, 978-1-4614-7621-4 (e-book)",
ISSN = "2194-1009",
LCCN = "QA241",
bibdate = "Thu Aug 11 13:32:34 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
https://www.math.utah.edu/pub/tex/bib/numana2010.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Springer proceedings in mathematics and statistics",
URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1466708;
http://swb.eblib.com/patron/FullRecord.aspx?p=1466708;
http://www.myilibrary.com?id=547562",
abstract = "The research of Jonathan Borwein has had a profound
impact on optimization, functional analysis, operations
research, mathematical programming, number theory, and
experimental mathematics. Having authored more than a
dozen books and more than 300 publications, Dr. Borwein
is one of the most productive Canadian mathematicians
ever. His research spans pure, applied, and
computational mathematics as well as high performance
computing, and continues to have an enormous impact:
MathSciNet lists more than 2500 citations by more than
1250 authors, and Borwein is one of the 250 most cited
mathematicians of the period 1980--1999. He has served
the Canadian Mathematics Community through his
presidency (2000--2002) as well as his 15 years of
editing the CMS book series. Jonathan Borwein's vision
and initiative have been crucial in initiating and
developing several institutions that provide support
for researchers with a wide range of scientific
interests. A few notable examples include the Centre
for Experimental and Constructive Mathematics and the
IRMACS Centre at Simon Fraser University, the Dalhousie
Distributed Research Institute at Dalhousie University,
the Western Canada Research Grid, and the Centre for
Computer Assisted Research Mathematics and its
Applications, University of Newcastle. The workshops
that were held over the years in Dr. Borwein's honor
attracted high-caliber scientists from a wide range of
mathematical fields. This present volume is an
outgrowth of the workshop entitled Computational and
Analytical Mathematics, held in May 2011 in celebration
of Jonathan Borwein's 60th Birthday. The collection
contains various state-of-the-art research manuscripts
and surveys presenting contributions that have risen
from the conference, and is an excellent opportunity to
survey state-of-the-art research and discuss promising
research directions and approaches.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Bauschke,
Heinz/0000-0002-4155-9930; Borwein,
Jonathan/0000-0002-1263-0646",
subject = "Number theory; Mathematical analysis; Mathematics;
Functional Analysis; Operator Theory; Operations
Research, Management Science; Algebra; Intermediate.;
Mathematical analysis.; Number theory.",
tableofcontents = "Normal Numbers and Pseudorandom Generators / David
H. Bailey and Jonathan M. Borwein / 1--18 \\
New Demiclosedness Principles for (Firmly) Nonexpansive
Operators / Heinz H. Bauschke / 19--28 \\
Champernowne's Number, Strong Normality, and the X
Chromosome / Adrian Belshaw and Peter B. Borwein /
29--44 \\
Optimality Conditions for Semivectorial Bilevel Convex
Optimal Control Problems / Henri Bonnel and Jacqueline
Morgan / 45--78 \\
Monotone Operators Without Enlargements / Jonathan M.
Borwein and Regina S. Burachik / 79--103 \\
A Br{\o}ndsted--Rockafellar Theorem for Diagonal
Subdifferential Operators / Radu Ioan Bo{\c{t}} and
Ern{\"o} Robert Csetnek / 105--112 \\
A $q$-Analog of Euler's Reduction Formula for the
Double Zeta Function / David M. Bradley and Xia Zhou /
113--126 \\
Fast Computation of Bernoulli, Tangent and Secant
Numbers / Richard P. Brent and David Harvey / 127--142
\\
Monotone Operator Methods for Nash Equilibria in
Non-potential Games / Luis M. Brice{\"a}no-Arias and
Patrick L. Combettes / 143--159 \\
Compactness, Optimality, and Risk / B. Cascales, J.
Orihuela and M. Ruiz Gal{\'a}n / 161--218 \\
Logarithmic and Complex Constant Term Identities / Tom
Chappell, Alain Lascoux and S. Ole Warnaar /
219--250\\
Preprocessing and Regularization for Degenerate
Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr
and Henry Wolkowicz / 251--303 \\
The Largest Roots of the Mandelbrot Polynomials /
Robert M. Corless and Piers W. Lawrence / 305--324 \\
On the Fractal Distribution of Brain Synapses / Richard
Crandall / 325--348 \\
Visible Points in Convex Sets and Best Approximation /
Frank Deutsch, Hein Hundal and Ludmil Zikatanov /
349--364 \\
On Derivative Criteria for Metric Regularity / Asen L.
Dontchev and H{\'e}l{\`e}ne Frankowska / 365--374 \\
Five Classes of Monotone Linear Relations and Operators
/ Mclean R. Edwards / 375--400 \\
Upper Semicontinuity of Duality and Preduality Mappings
/ J. R. Giles / 401--410 \\
Convexity and Variational Analysis / A. D. Ioffe /
411--444 \\
Generic Existence of Solutions and Generic
Well-Posedness of Optimization Problems / P. S.
Kenderov and J. P. Revalski / 445--453 \\
Legendre Functions Whose Gradients Map Convex Sets to
Convex Sets / Alexander Knecht and Jon Vanderwerff /
455--462\\
On the Convergence of Iteration Processes for
Semigroups of Nonlinear Mappings in Banach Spaces / W.
M. Kozlowski and Brailey Sims / 463--484 \\
Techniques and Open Questions in Computational Convex
Analysis / Yves Lucet / 485--500 \\
Existence and Approximation of Fixed Points of Right
Bregman Nonexpansive Operators / Victoria
Mart{\'i}n-M{\'a}rquez and Simeon Reich / 501--520 \\
Primal Lower Nice Functions and Their Moreau Envelopes
/ Marc Mazade and Lionel Thibault / 521--553 \\
Bundle Method for Non-Convex Minimization with Inexact
Subgradients and Function Values / Dominikus Noll /
555--592 \\
Convergence of Linesearch and Trust-Region Methods
Using the Kurdyka--{\L}ojasiewicz Inequality /
Dominikus Noll and Aude Rondepierre / 593--611 \\
Strong Duality in Conic Linear Programming: Facial
Reduction and Extended Duals / G{\'a}bor Pataki /
613--634 \\
Towards a New Era in Subdifferential Analysis? /
Jean-Paul Penot /635--665 \\
Modular Equations and Lattice Sums / Mathew Rogers and
Boonrod Yuttanan / 667--680 \\
An Epigraph-Based Approach to Sensitivity Analysis in
Set-Valued Optimization / Douglas E. Ward and Stephen
E. Wright / 681--701",
}
@Proceedings{Bean:2013:MDM,
editor = "Nigel Bean",
booktitle = "{Modelling for decision making in ecological systems
[\ldots{} a session \ldots{} at the MODSIM 2011
Conference in Perth, Australia, 12--16 December
2011]}",
title = "{Modelling for decision making in ecological systems
[\ldots{} a session \ldots{} at the MODSIM 2011
Conference in Perth, Australia, 12--16 December
2011]}",
volume = "249.2013",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "190",
year = "2013",
LCCN = "????",
bibdate = "Sat Aug 13 15:52:36 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Ecological modelling Special issue",
acknowledgement = ack-nhfb,
}
@Proceedings{Borwein:2013:NTR,
editor = "Jonathan M. Borwein and Igor E. Shparlinski and Wadim
Zudilin",
booktitle = "{Number theory and related fields: in memory of Alf
van der Poorten}",
title = "{Number theory and related fields: in memory of Alf
van der Poorten}",
volume = "43",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 395",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-6642-0",
ISBN = "1-4614-6641-5",
ISBN-13 = "978-1-4614-6641-3",
ISSN = "2194-1009",
LCCN = "QA241 .N86755 2013",
bibdate = "Thu Aug 11 17:00:24 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer proceedings in mathematics and statistics",
URL = "http://link.springer.com/book/10.1007/978-1-4614-6642-0;
http://www.loc.gov/catdir/enhancements/fy1404/2013936399-d.html;
http://www.loc.gov/catdir/enhancements/fy1404/2013936399-t.html",
abstract = "Collects contributions based on the proceedings of
``International Number Theory Conference in Memory of
Alf van der Poorten.'' These proceedings will presents
high quality research articles and comprehensive
surveys from distinguished mathematicians in order to
promote number theory and related topics. The subjects
of these articles and surveys are inspired by Alf van
der Poorten's wide area of research interests,
including number theory, continued fractions, elliptic
curves and more. Number Theory and Related Fields
collects contributions based on the proceedings of the
``International Number Theory Conference in Memory of
Alf van der Poorten,'' hosted by CARMA and held March
12--16, 2012, at the University of Newcastle,
Australia. The purpose of the conference was to
commemorate the research and influence of Alf van der
Poorten in number theory and in general mathematics and
presented an exciting venue for promoting
number-theoretic research and graduate study in
Australia. Comprehensive accounts of recent
achievements in theoretical and computational number
theory and its applications to cryptography and
theoretical computer science were also paramount to the
conference. The volume begins with a detailed academic
appreciation of van der Poorten's life and work, and
includes research articles written by some of the most
distinguished mathematicians in the field of number
theory. Contributions also include related topics that
focus on the various research interests of van der
Poorten, such as continued fractions and elliptic
curves. Researchers in number theory and its
applications will find this Proceedings of great
interest.",
acknowledgement = ack-nhfb,
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Zudilin,
Wadim/0000-0001-9551-2903",
remark = "The International Number Theory Conference in memory
of Alf van der Poorten was held in Newcastle, NSW,
Australia, 12--16 March 2012.",
subject = "Number theory; Congresses; Van Der Poorten, A. J",
tableofcontents = "Life and mathematics of Alfred Jacobus van der
Poorten (1942--2010) / David Hunt \\
Ramanujan--Sato-like series / Gert Ahlmkvist and
Jes{\'u}s Guillera \\
On the sign of the real part of the Riemann zeta
function / Juan Arias de Reyna, Richard P. Brent and
Jan van de Lune \\
Additive combinatorics: with a view towards computer
science and cryptography --- an exposition / Khodakhast
Bibak \\
Transcendence of stammering continued fractions / Yann
Bugeaud \\
Algebraic independence of infinite products and their
derivatives / Peter Bundschuh \\
Small representations by indefinite ternary quadratic
forms / J. B. Friedlander and H. Iwaniec \\
Congruences for Andrews' spt-function modulo 32760 and
extension of Atkin's Hecke-type partition congruences /
F. G. Garvan \\
Continued fractions and dedekind sums for function
fields / Yoshinori Hamahata \\
Burgess's bounds for character sums / D. R. Heath-Brown
\\
Structured Hadamard conjecture / Ilias S. Kotsireas \\
Families of cubic thue equations with effective bounds
for the solutions / Claude Levesque and Michel
Waldschmidt \\
Consequences of a factorization theorem for generalized
exponential polynominals with infinitely many integer
zeroes / Ouamporn Phuksuwan and Vichian Laohakosol \\
On balanced subgroups of the multiplicative group /
Carl Pomerance and Douglas Ulmer \\
Some extensions of the Lucas functions / E. L.
Roettger, H. C. Williams, and R. K. Guy \\
The impact of number theory and computer-aided
mathematics on solving the Hadamard matrix conjecture /
Jennifer Seberry \\
Description of generalized continued fractions by
finite automata / Jeffrey Shallit \\
On prime factors of terms of linear recurrence
sequences / C. L. Stewart \\
Some notes on weighted sum formulae for double zeta
values / James Wan \\
Period(d)ness of $L$-values / Wadim Zudilin",
}
@Book{Tressider:2013:EDV,
author = "Virginia Tressider",
booktitle = "The explainer: from d{\'e}j{\`a} vu to why the sky is
blue, and other conundrums",
title = "The explainer: from d{\'e}j{\`a} vu to why the sky is
blue, and other conundrums",
publisher = "CSIRO Publishing",
address = "Collingwood, VI, Australia",
pages = "xiv + 334",
year = "2013",
ISBN = "1-4863-0050-2 (paperback)",
ISBN-13 = "978-1-4863-0050-1 (paperback)",
LCCN = "",
bibdate = "Sat Aug 13 15:17:39 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://www.publish.csiro.au/pid/7165.htm",
abstract = "Ever wondered how vaccines work, why whales strand
themselves or if luck exists? The Explainer: From
D{\'e}j{\`a} Vu to Why the Sky Is Blue, and Other
Conundrums is a collection of the best of The
Conversation's ``The Explainer'' and ``Monday's Medical
Myths'' articles. The book answers questions on
everyone's mind about a diverse range of topics,
abstract concepts, and popular and hard core science.
Sections include: animals and agriculture, body,
climate and energy, medical myths, mind and brain,
research and technology, and more. Expert authors
combine facts, analysis, new ideas and enthusiasm to
make often challenging topics highly readable. This
book is for the curious, those with a thirst for
answers, and those with a fascination of how phenomena,
new technologies and current issues in our daily lives
work.",
acknowledgement = ack-nhfb,
shorttableofcontents = "Animals and agriculture \\
Body \\
Climate and energy \\
Ever wondered? \\
Medical myths \\
Mind and brain \\
Research and technology \\
Space, time and matter",
subject = "curiosities and wonders; questions and answers",
tableofcontents = "Cover \\
Foreword 1 \\
Foreword 2 \\
Acknowledgements \\
Contents \\
Animals and agriculture \\
How are vaccines used in Australian agriculture? \\
What do we know about why whales strand themselves? \\
What is biodiversity and why does it matter? \\
Why is Hendra virus so dangerous? \\
Body \\
Can you pay off your `sleep debt'? \\
Do we need to follow medication use-by dates? \\
Overweight, obese, BMI - what does it all mean? \\
What are antibiotics? \\
What are migraines? \\
What are trans fats? \\
What is a gene? \\
What is cancer? \\
What is cerebral palsy? \\
What is colour blindness? \\
What is deep vein thrombosis?. What is dengue
fever?What is herpes? \\
What is stuttering? \\
Climate and energy \\
Climate modes and drought \\
Storing renewable energy \\
What are biofuels? \\
What is photovoltaic solar energy? \\
What we know and don't know about climate change \\
Ever wondered? \\
Does luck exist? \\
Why hypothesis and significance tests ask the wrong
questions \\
Why is the sky blue? \\
Medical myths \\
Drink eight glasses of water a day \\
We only use 10 per cent of our brain \\
Alcohol kills brain cells \\
You can't mix antibiotics with alcohol \\
A diet high in antioxidants slows the ageing process.
Take an aspirin a day after you turn 50 \\
Cutting carbs is the best way to lose weight \\
Eating carrots will improve your eyesight \\
Childhood vaccinations are dangerous \\
Chocolate causes acne \\
Chocolate is an aphrodisiac \\
Cranberry juice prevents bladder infections \\
Take a vitamin a day for better health \\
Dairy products exacerbate asthma \\
Deodorants cause breast cancer \\
Detox diets cleanse your body \\
Reading in dim light ruins your eyesight \\
Eat for two during pregnancy \\
You need eight hours of continuous sleep each night \\
We're not getting enough sun \\
Fish oil is good for heart health. Fruit juice is
healthier than soft drink \\
Hospitals get busier on full moons \\
Cracking your knuckles causes arthritis \\
Leave leftovers to cool before refrigerating \\
Low-fat diets are better for weight loss \\
Men also go through menopause \\
The MMR vaccine causes autism \\
MSG is a dangerous toxin \\
Natural cancer therapies can't harm you \\
No pain, no gain \\
Organic food is more nutritious \\
Osteoarthritis can be `cured' \\
Peanuts in pregnancy cause allergies \\
The placebo effect only works on the gullible \\
Don't worry, kids will grow out of their `puppy fat'
\\
Reading from a screen harms your eyes \\
Men think about sex every seven seconds \\
SPF50+ sunscreen almost doubles the protection of
SPF30+ \\
Stress can turn hair grey overnight \\
Sugar makes kids hyperactive \\
Wearing tight undies will make you infertile \\
You can selectively train your left or right brain \\
Vitamin C prevents colds \\
Wait 30 minutes after eating before you swim \\
Mind and brain \\
The brain \\
What are phobias? \\
What is d{\'e}j{\`a} vu and why does it happen? \\
What is depression? \\
What is dreaming? \\
What is forgetting? \\
What is post-traumatic stress disorder? \\
Research and technology \\
Nanotechnology and you \\
Quadruple-helix DNA. The 2012 Nobel Prize in Chemistry
\\
What are G-protein-coupled receptors?. A collection of
The Conversation's `Monday's Medical Myths' and 'The
Explainer' articles, answering the questions on
everyone's mind.",
}
@Proceedings{Hong:2014:MSI,
editor = "Hoon Hong and Chee-Keng Yap",
booktitle = "{Mathematical Software --- ICMS 2014: 4th
International Conference, Seoul, South Korea, August
5--9, 2014. Proceedings}",
title = "{Mathematical Software --- ICMS 2014: 4th
International Conference, Seoul, South Korea, August
5--9, 2014. Proceedings}",
volume = "8592",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxxi + 735",
year = "2014",
DOI = "https://doi.org/10.1007/978-3-662-44199-2",
ISBN = "3-662-44198-5, 3-662-44199-3 (e-book)",
ISBN-13 = "978-3-662-44198-5, 978-3-662-44199-2 (e-book)",
LCCN = "QA76.95",
bibdate = "Sat Aug 13 13:49:23 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
series = "Lecture Notes in Computer Science",
abstract = "This book constitutes the proceedings of the 4th
International Conference on Mathematical Software, ICMS
2014, held in Seoul, South Korea, in August 2014. The
108 papers included in this volume were carefully
reviewed and selected from 150 submissions. The papers
are organized in topical sections named: invited;
exploration; group; coding; topology; algebraic;
geometry; surfaces; reasoning; special; Gr{\"o}bner;
triangular; parametric; interfaces and general.",
acknowledgement = ack-nhfb,
subject = "Mathematik.; Software.",
tableofcontents = "Experimental Computation and Visual Theorems \\
Soft Math --- Math Soft \\
Flyspecking Flyspeck \\
Symbolic Computing Package for Mathematica for
Versatile Manipulation of Mathematical Expressions \\
Representing, Archiving, and Searching the Space of
Mathematical Knowledge \\
Early Examples of Software in Mathematical Knowledge
Management \\
Discourse-Level Parallel Markup and Meaning Adoption in
Flexiformal Theory Graphs \\
Complexity Analysis of the Bivariate Buchberger
Algorithm in Theorema \\
Theorema 2.0: A System for Mathematical Theory
Exploration \\
New Approaches in Black Box Group Theory \\
A GAP Package for Computing with Real Semisimple Lie
Algebras \\
Bacterial Genomics and Computational Group Theory: The
BioGAP Package for GAP \\
SgpDec: Cascade (De)Compositions of Finite
Transformation Semigroups and Permutation Groups \\
Approximating Generators for Integral Arithmetic Groups
\\
Software for Groups: Theory and Practice \\
Computation of Genus 0 Belyi Functions \\
On Computation of the First Baues-Wirsching Cohomology
of a Freely-Generated Small Category \\
Codes over a Non Chain Ring with Some Applications \\
On the Weight Enumerators of the Projections of the
2-adic Golay Code of Length 24 to Z2e \\
Computer Based Reconstruction of Binary Extremal
Self-dual Codes of Length 32 \\
Magma Implementation of Decoding Algorithms for General
Algebraic Geometry Codes \\
Reversible Codes and Applications to DNA \\
javaPlex: A Research Software Package for Persistent
(Co)Homology \\
PHAT \\
Persistent Homology Algorithms Toolbox \\
Computing Persistence Modules on Commutative Ladders of
Finite Type \\
Heuristics for Sphere Recognition \\
CAPD::RedHom v2 \\
Homology Software Based on Reduction Algorithms \\
The Gudhi Library: Simplicial Complexes and Persistent
Homology \\
Bertini real: Software for One- and Two-Dimensional
Real Algebraic Sets \\
Hom4PS-3: A Parallel Numerical Solver for Systems of
Polynomial Equations Based on Polyhedral Homotopy
Continuation Methods \\
Geometry CGAL \\
Reliable Geometric Computing for Academia and Industry
\\
Implementing the L[infinity] Segment Voronoi Diagram in
CGAL and Applying in VLSI Pattern Analysis \\
BULL! \\
The Molecular Geometry Engine Based on Voronoi Diagram,
Quasi-Triangulation, and Beta-Complex \\
Integrating Circumradius and Area Formulae for Cyclic
Pentagons \\
Computer Aided Geometry \\
The Sustainability of Digital Educational Resources \\
A Touch-Operation-Based Dynamic Geometry System: Design
and Implementation \\
OpenGeo: An Open Geometric Knowledge Base \\
On Computing a Cell Decomposition of a Real Surface
Containing Infinitely Many Singularities \\
Robustly and Efficiently Computing Algebraic Curves and
Surfaces \\
Computing the Orthogonal Projection of Rational Curves
onto Rational Parameterized Surface by Symbolic Methods
\\
Isotopic Approximation of Algebraic Curves \\
Isotopic Arrangement of Simple Curves: An Exact
Numerical Approach Based on Subdivision \\
Real Quantifier Elimination in the RegularChains
Library \\
Software for Quantifier Elimination in Propositional
Logic \\
Quantifier Elimination for Linear Modular Constraints
\\
Skolemization Modulo Theories \\
Incremental QBF Solving by DepQBF \\
NLCertify: A Tool for Formal Nonlinear Optimization \\
Developing Linear Algebra Packages on Risa/Asir for
Eigenproblems \\
Mathematical Software for Modified Bessel Functions \\
BetaSCP2: A Program for the Optimal Prediction of
Side-Chains in Proteins \\
Computation of an Improved Lower Bound to Giuga's
Primality Conjecture \\
An Extension and Efficient Calculation of the Horner's
Rule for Matrices \\
What Is New in CoCoA? \\
Maximizing Likelihood Function for Parameter Estimation
in Point Clouds via Gr{\"o}bner Basis \\
Gr{\"o}bner Basis in Geodesy and Geoinformatics \\
Gr{\"o}bner Bases in Theorema \\
Effective Computation of Radical of Ideals and Its
Application to Invariant Theory \\
Generic and Parallel Gr{\"o}bner Bases in JAS \\
Application of Gr{\"o}bner Basis Methodology to
Nonlinear Mechanics Problems \\
Software for Discussing Parametric Polynomial Systems:
The Gr{\"o}bner Cover \\
An Algorithm for Computing Standard Bases by Change of
Ordering via Algebraic Local Cohomology \\
Verification of Gr{\"o}bner Basis Candidates \\
Cylindrical Algebraic Decomposition in the
RegularChains Library \\
Hierarchical Comprehensive Triangular Decomposition \\
A Package for Parametric Matrix Computations \\
Choosing a Variable Ordering for Truth-Table Invariant
Cylindrical Algebraic Decomposition by Incremental
Triangular Decomposition \\
Using the Regular Chains Library to Build Cylindrical
Algebraic Decompositions by Projecting and Lifting \\
An Improvement of Rosenfeld-Gr{\"o}bner Algorithm \\
Doing Algebraic Geometry with the RegularChains Library
\\
On Multivariate Birkhoff Rational Interpolation \\
Computing Moore-Penrose Inverses of Ore Polynomial
Matrices \\
Software Using the Gr{\"o}bner Cover for Geometrical
Loci Computation and Classification \\
Using Maple's RegularChains Library to Automatically
Classify Plane Geometric Loci \\
Solving Parametric Polynomial Systems by
RealComprehensiveTriangularize \\
QE Software Based on Comprehensive Gr{\"o}bner Systems
\\
SyNRAC: A Tolbox for Solving Real Algebraic
Constraints.-An Algorithm for Computing Tjurina
Stratifications of [mu]-Constant Deformations by Using
Local Cohomology Classes with Parameters \\
An Implementation Method of Boolean Gr{\"o}bner Bases
and Comprehensive Boolean Gr{\"o}bner Bases on General
Computer Algebra Systems \\
A Method to Determine if Two Parametric Polynomial
Systems Are Equal \\
An Implementation Method of a CAS with a Handwriting
Interface on Tablet Devices \\
New Way of Explanation of the Stochastic Interpretation
of Wave Functions and Its Teaching Materials Using
KETpic \\
IFSGen4LATEX: Interactive Graphical User Interface For
Generation and Visualization of Iterated Function
Systems in LATEX \\
GNU TEXMACS Towards a Scientific Office Suite \\
Computer Software Program for Representation and
Visualization of Free-Form Curves through Bio-inspired
Optimization Techniques \\
On Some Attempts to Verify the Effect of Using
High-Quality Graphics in Mathematics Education \\
Math Web Search Interfaces and the Generation Gap of
Mathematicians \\
Practice with Computer Algebra Systems in Mathematics
Education and Teacher Training Courses \\
Development of Visual Aid Materials in Teaching the
Bivariate Normal Distributions \\
Creating Interactive Graphics for Mathematics Education
Utilizing KETpic \\
A Tablet-Compatible Web-Interface for Mathematical
Collaboration \\
Development and Evaluation of a Web-Based Drill System
to Master Basic Math Formulae Using a New Interactive
Math Input Method \\
Generating Data of Mathematical Figures for 3D Printers
with KETpic and Educational Impact of the Printed
Models \\
A Touch-Based Mathematical Expression Editor \\
Establishment of KETpic Programming Styles for Drawing
\\
Integration of Libnormaliz in CoCoALib and CoCoA 5 \\
Elements of Design for Containers and Solutions in the
LinBox Library \\
Recent Developments in Normaliz \\
The Basic Polynomial Algebra Subprograms \\
Function Interval Arithmetic \\
Generating Optimized Sparse Matrix Vector Product over
Finite Fields \\
swMATH \\
An Information Service for Mathematical Software \\
MathLibre: Modifiable Desktop Environment for
Mathematics \\
Software Packages for Holonomic Gradient Method \\
Metalibm: A Mathematical Functions Code Generator \\
From Calculus to Algorithms without Errors \\
Dense Arithmetic over Finite Fields with the CUMODP
Library",
}
@Book{Sidoli:2014:ATB,
editor = "Nathan Sidoli and Glen {Van Brummelen}",
booktitle = "From {Alexandria}, through {Baghdad}: surveys and
studies in the {Ancient Greek} and {Medieval Islamic}
mathematical sciences in honor of {J. L. Berggren}",
title = "From {Alexandria}, Through {Baghdad}: Surveys and
Studies in the {Ancient Greek} and {Medieval Islamic}
Mathematical Sciences in Honor of {J. L. Berggren}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 583",
year = "2014",
DOI = "https://doi.org/10.1007/978-3-642-36736-6",
ISBN = "3-642-36735-6 (hardcover), 3-642-36736-4 (e-book)",
ISBN-13 = "978-3-642-36735-9 (hardcover), 978-3-642-36736-6
(e-book)",
LCCN = "QA21 .F76 2014",
bibdate = "Sat Aug 13 15:03:46 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
series = "SpringerLink: B{\"u}cher",
URL = "http://scans.hebis.de/HEBCGI/show.pl?33313183_aub.html;
http://scans.hebis.de/HEBCGI/show.pl?33313183_toc.html",
abstract = "This book honors the career of historian of
mathematics J. L. Berggren, his scholarship, and
service to the broader community. The first part, of
value to scholars, graduate students, and interested
readers, is a survey of scholarship in the mathematical
sciences in ancient Greece and medieval Islam. It
consists of six articles (three by Berggren himself)
covering research from the middle of the 20th century
to the present. The remainder of the book contains
studies by eminent scholars of the ancient and medieval
mathematical sciences. They serve both as examples of
the breadth of current approaches and topics, and as
tributes to Berggren's interests by his friends and
colleagues.",
acknowledgement = ack-nhfb,
subject = "Mathematics; History of Mathematical Sciences;
Mathematics, general; Matematik; historia; Mathematics;
History; Mathematics, Greek; Mathematics, Arab;
Mathematics / Essays; Mathematics / Pre-Calculus;
Mathematics / Reference",
tableofcontents = "History of Greek Mathematics \\
Mathematical Reconstructions Out, Textual Studies in
\\
Research on Ancient Greek Mathematical Sciences \\
History of Mathematics in the Islamic World \\
Mathematics and Her Sisters in Medieval Islam \\
A Survey of Research in the Mathematical Sciences in
Medieval Islam from 1996 to 2011 \\
The Life of Pi: From Archimedes to ENIAC and Beyond \\
Mechanical Astronomy: A Route to the Ancient Discovery
of Epicycles and Eccentrics \\
Some Greek Sundial Meridians \\
An Archimedean Proof of Heron's Formula for the Area of
a Triangle \\
Reading the Lost Folia of the Archimedean Palimpsest
\\
Acts of geometrical construction in the Spherics of
Theodosios \\
Archimedes Among the Ottomans \\
The `Second' Arabic Translation of Theodosius'
Sphaerica \\
More Archimedean than Archimedes: A New Trace of Abu
Sahl al-Kuhi's work in Latin \\
Les math{\'e}matiques en Occident musulman \\
Ibn al-Raqqam's al-Zij al-Mustawfi in MS Rabat National
Library 2461 \\
An Ottoman astrolabe full of surprises \\
Un alg{\'e}briste arabe: Abu Kamil SuCac ibn Aslam \\
Abu Kamil's Book on Mensuration \\
Hebrew Texts on the Regular Polyhedra \\
A Treatise by Biruni on the Rule of Three and its
Variations \\
Safavid Art, Science, and Courtly Education in the
Seventeenth Century \\
Translating Playfair's Geometry into Arabic.",
tableofcontents-2 = "Appreciation \\
Acknowledgements \\
Contents \\
Part I Surveys \\
History of Greek Mathematics: A Survey of Recent
Research [1984] \\
Abstract \\
Methods in Greek Mathematics \\
The Axiomatic Method \\
The Method of Analysis \\
Geometric Algebra \\
The Theory of Proportion \\
Theory of Incommensurables \\
Archimedes \\
Mathematical Methods \\
Conclusions \\
References \\
Mathematical Reconstructions Out, Textual Studies in:
30 Years in the Historiography of Greek Mathematics
[1998] \\
History of Greek Mathematics Before and After 1970 \\
The Origins: Who Was the First Mathematician? \\
Mathematical Reconstructions \\
From Mathematical Reconstructions to Textual Studies
\\
Algebraic vs. Geometrical Interpretation \\
Pythagoreans, Are They Out? \\
Conclusion \\
References \\
Research on Ancient Greek Mathematical Sciences, \\
Introduction \\
Methods \\
Textual Studies \\
Ancient Texts \\
Medieval Manuscripts \\
The Direct and Indirect Traditions \\
New Editions \\
The Language of Greek Mathematics \\
New Translations \\
Textual Studies on Canonical Authors \\
Euclid \\
Archimedes and the Archimedes Palimpsest \\
Apollonius \\
Diagrams \\
Material Culture \\
Mathematical and Logical Studies \\
Logical and Philosophical Studies of Diagram-Based
Reasoning \\
Balanced Reconstruction \\
New Readings \\
Ancient Mathematical Contexts \\
Intellectual and Philosophical Contexts \\
Literary Readings \\
Topics \\
Origins and Early Evidence \\
Late Andent Mathematicians and Commentators \\
Numeracy \\
Greek Combinatorics \\
Computation and Algebra \\
Diophantus \\
Analysis \\
Greek Foundations of Mathematics \\
Constructions \\
The Exact Sdences \\
Conclusion \\
References \\
History of Mathematics in the Islamic World: The
Present State of the Art [1985] \\
General Studies \\
Number Theory \\
Arithmetic \\
Algebra \\
Indeterminate Equations \\
Combinatorics \\
Recreational Mathematics \\
Geometry \\
Trigonometry \\
Numerical Mathematics \\
Optics \\
Mathematical Geography \\
Mechanics \\
Conclusions \\
References \\
Mathematics and Her Sisters in Medieval Islam: A
Selective Review of Work Done from 1985 to 1995 [1997]
\\
Abstract \\
Al-Khw{\=a}rizm{\=i} and His Times \\
The Islamic Study of Euclid's Works \\
Number Theory and Recreational Mathematics \\
Other Aspects of the Hellenistic Tradition in Medieval
Islam \\
Projections of the Sphere in Medieval Islam \\
Cartography and Geometry \\
Optics in Medieval Islam \\
Islamic Spain and Northwest Africa \\
The Problem Of Decline In The Islamic Mathematical
Sciences \\
Science and Society in Medieval Islam \\
Mathematical Methods In the Study of Ancient and
Medieval Sciences \\
General Surveys \\
Some Conclusions \\
Acknowledgements \\
References \\
A Survey of Research in the Mathematical Sciences in
Medieval Islam from 1996 to 2011 \\
Introduction \\
The Foreign Legacy: Reception, Appropriation,
Transformation \\
Regional Influences \\
Geometry \\
Disciplines Allied with Geometry \\
Mathematical Methods in Astronomy and Geography \\
Arithmetic \\
Algebra \\
Concluding Remarks \\
Acknowledgements \\
References \\
Index of Subjects (Survey Papers) \\
Part II Studies",
}
@Book{Casazza:2015:M,
editor = "Peter G. Casazza and Steven G. (Steven George) Krantz
and Randi D. Ruden",
booktitle = "{I}, mathematician",
title = "{I}, mathematician",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "xiii + 273",
year = "2015",
ISBN = "0-88385-585-2 (print), 1-61444-521-4 (e-book)",
ISBN-13 = "978-0-88385-585-0 (print), 978-1-61444-521-0
(e-book)",
LCCN = "QA28 .I22 2015",
bibdate = "Sat Aug 13 13:43:47 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Spectrum series",
abstract = "At the MAA Summer MathFest in 2007, Peter Casazza,
Steven Krantz, and Frank Morgan were invited to
organize a special session entitled ``The Psychology of
the Mathematician.'' The avowed purpose of that event
was to discuss what mathematicians think of themselves
and what others think of us\ldots{} As a consequence,
MAA editor Don Albers invited us to produce a volume
inspired by our special session.",
acknowledgement = ack-nhfb,
subject = "Mathematicians; Biography; Psychology; Miscellanea",
tableofcontents = "Who are mathematicians? \\
Mathematicians and mathematics / Michael Aschbacher \\
What are mathematicians really like? \\
Observations of a spouse / Pamela Aschbacher \\
Mathematics: art and science / Michael Atiyah \\
A mathematician's survival guide / Peter G. Casazza \\
We are different / Underwood Dudley \\
The naked lecturer / T. W. K{\"o}rner \\
Through a glass darkly / Steven G. Krantz \\
What's a nice guy like me doing in a place like this? /
Alan H. Schoenfeld \\
A mathematician's eye view / Ian Stewart \\
I am a mathematician / V. S. Varadarajan \\
On becoming a mathematician \\
Mathematics and teaching / Hyman Bass \\
Who we are and how we got that way? / Jonathan M.
Borwein \\
Social class and mathematical values in the U.S.A. /
Roger Cooke \\
The badly taught high school Calculus lesson and the
mathematical journey it led me to / Keith Devlin \\
The psychology of being a mathematician / Sol Garfunkel
\\
Dynamics of mathematical groups / Jane Hawkins \\
Mathematics, art, civilization / Yuri I. Manin \\
Questions about mathematics / Harold R. Parks \\
A woman mathematician's journey / Mei-Chi Shaw \\
Why I became a mathematician \\
Why I became a mathematician: a personal account /
Harold P. Boas \\
Why I became a mathematician? / Aline Bonami \\
Why I am a mathematician / John P. D'Angelo \\
Why I am a mathematician / Robert E. Greene \\
Why I am a mathematician / Jenny Harrison \\
Why I became a mathematician / Rodolfo H. Torres",
}
@Book{Davis:2015:MSS,
editor = "Ernest Davis and Philip J. Davis",
booktitle = "Mathematics, Substance, and Surmise: Views on the
Meaning and Ontology of Mathematics",
title = "Mathematics, Substance, and Surmise: Views on the
Meaning and Ontology of Mathematics",
publisher = pub-SV,
address = pub-SV:adr,
year = "2015",
DOI = "https://doi.org/10.1007/978-3-319-21473-3",
ISBN = "3-319-21472-1, 3-319-21473-X (e-book)",
ISBN-13 = "978-3-319-21472-6, 978-3-319-21473-3 (e-book)",
LCCN = "QA8.4 .M38 2015",
bibdate = "Fri Aug 12 18:53:08 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
abstract = "The seventeen thought-provoking and engaging essays in
this collection present readers with a wide range of
diverse perspectives on the ontology of mathematics.
The essays address such questions as: What kind of
things are mathematical objects? What kinds of
assertions do mathematical statements make? How do
people think and speak about mathematics? How does
society use mathematics? How have our answers to these
questions changed over the last two millennia, and how
might they change again in the future? The authors
include mathematicians, philosophers, computer
scientists, cognitive psychologists, sociologists,
educators, and mathematical historians; each brings
their own expertise and insights to the discussion.",
acknowledgement = ack-nhfb,
subject = "Mathematics; Philosophy",
tableofcontents = "Front Matter / i--vi \\
Introduction / Ernest Davis / 1--7 \\
Hardy, Littlewood, and {\em polymath} / Ursula Martin
and Alison Pease / 9--23 \\
Experimental Computation as an Ontological Game
Changer: The Impact of Modern Mathematical Computation
Tools on the Ontology of Mathematics / David H. Bailey
and Jonathan M. Borwein / 25--67 \\
Mathematical Products / Philip J. Davis / 69--74 \\
How Should Robots Think about Space? / Ernest Davis /
75--99 \\
Mathematics and its Applications / David Berlinski /
101--131 \\
Nominalism: The Nonexistence of Mathematical Objects /
Jody Azzouni / 133--145 \\
An Aristotelian Approach to Mathematical Ontology /
Donald Gillies / 147--176 \\
Let $G$ be a Group / Jesper L{\"u}tzen / 177--192 \\
From the Continuum to Large Cardinals / John Stillwell
/ 193--211 \\
Mathematics at Infinity / Jeremy Gray / 213--234 \\
Mathematics and Language / Jeremy Avigad / 235--255 \\
Mathematics as Language / Michah T. Ross / 257--285 \\
Mathematics as Multimodal Semiotics / Kay L. O'Halloran
/ 287--303 \\
Problems in Philosophy of Mathematics: A View from
Cognitive Science / Steven T. Piantadosi / 305--320 \\
Beliefs about the Nature of Numbers / Lance J. Rips /
321--345 \\
What Kind of Thing Might Number Become? / Nathalie
Sinclair / 347--363 \\
Enumerated Entities in Public Policy and Governance /
Helen Verran / 365--379",
}
@Book{Higham:2015:PCA,
editor = "Nicholas J. Higham and Mark R. Dennis and Paul
Glendinning and Paul A. Martin and Fadil Santosa and
Jared Tanner",
booktitle = "The {Princeton} Companion to Applied Mathematics",
title = "The {Princeton} Companion to Applied Mathematics",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xvii + 3 + 994 + 16",
year = "2015",
ISBN = "0-691-15039-7 (hardcover)",
ISBN-13 = "978-0-691-15039-0 (hardcover)",
LCCN = "QA155 .P75 2015",
bibdate = "Wed Sep 9 05:32:49 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://press.princeton.edu/titles/10592.html",
abstract = "This is the most authoritative and accessible
single-volume reference book on applied mathematics.
Featuring numerous entries by leading experts and
organized thematically, it introduces readers to
applied mathematics and its uses; explains key
concepts; describes important questions, laws, and
functions; looks at exciting areas of research; covers
modeling and simulation; explores areas of application;
and more. Modeled on the popular Princeton Companion to
Mathematics, this volume is an indispensable resource
for undergraduate and graduate students, researchers,
and practitioners in other disciplines seeking a
user-friendly reference book on applied mathematics.",
acknowledgement = ack-njh,
subject = "Algebra; Mathematics; Mathematical models",
tableofcontents = "Preface / ix \\
Contributors / xiii \\
Part I: Introduction to Applied Mathematics \\
I.1 What Is Applied Mathematics? / 1 \\
I.2 The Language of Applied Mathematics / 8 \\
I.3 Methods of Solution / 27 \\
I.4 Algorithms / 40 \\
I.5 Goals of Applied Mathematical Research / 48 \\
I.6 The History of Applied Mathematics / 55 \\
Part II: Concepts \\
II.1 Asymptotics / 81 \\
II.2 Boundary Layer / 82 \\
II.3 Chaos and Ergodicity / 82 \\
II.4 Complex Systems / 83 \\
II.5 Conformal Mapping / 84 \\
II.6 Conservation Laws / 86 \\
II.7 Control / 88 \\
II.8 Convexity / 89 \\
II.9 Dimensional Analysis and Scaling / 90 \\
II.10 The Fast Fourier Transform / 94 \\
II.11 Finite Differences / 95 \\
II.12 The Finite-Element Method / 96 \\
II.13 Floating-Point Arithmetic / 96 \\
II.14 Functions of Matrices / 97 \\
II.15 Function Spaces / 99 \\
II.16 Graph Theory / 101 \\
II.17 Homogenization / 103 \\
II.18 Hybrid Systems / 103 \\
II.19 Integral Transforms and Convolution / 104 \\
II.20 Interval Analysis / 105 \\
II.21 Invariants and Conservation Laws / 106 \\
II.22 The Jordan Canonical Form / 112 \\
II.23 Krylov Subspaces / 113 \\
II.24 The Level Set Method / 114 \\
II.25 Markov Chains / 116 \\
II.26 Model Reduction / 117 \\
II.27 Multiscale Modeling / 119 \\
II.28 Nonlinear Equations and Newton's Method / 120 \\
II.29 Orthogonal Polynomials / 122 \\
II.30 Shocks / 122 \\
II.31 Singularities / 124 \\
II.32 The Singular Value Decomposition / 126 \\
II.33 Tensors and Manifolds / 127 \\
II.34 Uncertainty Quantification / 131 \\
II.35 Variational Principle / 134 \\
II.36 Wave Phenomena / 134 \\
Part III: Equations, Laws, and Functions of Applied
Mathematics \\
III.1 Benford's Law / 135 \\
III.2 Bessel Functions / 137 \\
III.3 The Black--Scholes Equation / 137 \\
III.4 The Burgers Equation / 138 \\
III.5 The Cahn--Hilliard Equation / 138 \\
III.6 The Cauchy--Riemann Equations / 139 \\
III.7 The Delta Function and Generalized Functions /
139 \\
III.8 The Diffusion Equation / 142 \\
III.9 The Dirac Equation / 142 \\
III.10 Einstein's Field Equations / 144 \\
III.11 The Euler Equations / 146 \\
III.12 The Euler--Lagrange Equations / 147 \\
III.13 The Gamma Function / 148 \\
III.14 The Ginzburg--Landau Equation / 148 \\
III.15 Hooke's Law / 149 \\
III.16 The Korteweg--de Vries Equation / 150 \\
III.17 The Lambert $W$ Function / 151 \\
III.18 Laplace's Equation / 155 \\
III.19 The Logistic Equation / 156 \\
III.20 The Lorenz Equations / 158 \\
III.21 Mathieu Functions / 159 \\
III.22 Maxwell's Equations / 160 \\
III.23 The Navier--Stokes Equations / 162 \\
III.24 The Painlev{\'e} Equations / 163 \\
III.25 The Riccati Equation / 165 \\
III.26 Schr{\"o}dinger's Equation / 167 \\
III.27 The Shallow-Water Equations / 167 \\
III.28 The Sylvester and Lyapunov Equations / 168 \\
III.29 The Thin-Film Equation / 169 \\
III.30 The Tricomi Equation / 170 \\
III.31 The Wave Equation / 171 \\
Part IV: Areas of Applied Mathematics \\
IV.1 Complex Analysis / 173 \\
IV.2 Ordinary Differential Equations / 181 \\
IV.3 Partial Differential Equations / 190 \\
IV.4 Integral Equations / 200 \\
IV.5 Perturbation Theory and Asymptotics / 208 \\
IV.6 Calculus of Variations / 218 \\
IV.7 Special Functions / 227 \\
IV.8 Spectral Theory / 236 \\
IV.9 Approximation Theory / 248 \\
IV.10 Numerical Linear Algebra and Matrix Analysis /
263 \\
IV.11 Continuous Optimization (Nonlinear and Linear
Programming) / 281 \\
IV.12 Numerical Solution of Ordinary Differential
Equations / 293 \\
IV.13 Numerical Solution of Partial Differential
Equations / 306 \\
IV.14 Applications of Stochastic Analysis / 319 \\
IV.15 Inverse Problems / 327 \\
IV.16 Computational Science / 335 \\
IV.17 Data Mining and Analysis / 350 \\
IV.18 Network Analysis / 360 \\
IV.19 Classical Mechanics / 374 \\
IV.20 Dynamical Systems / 383 \\
IV.21 Bifurcation Theory / 393 \\
IV.22 Symmetry in Applied Mathematics / 402 \\
IV.23 Quantum Mechanics / 411 \\
IV.24 Random-Matrix Theory / 419 \\
IV.25 Kinetic Theory / 428 \\
IV.26 Continuum Mechanics / 446 \\
IV.27 Pattern Formation / 458 \\
IV.28 Fluid Dynamics / 467 \\
IV.29 Magnetohydrodynamics / 476 \\
IV.30 Earth System Dynamics / 485 \\
IV.31 Effective Medium Theories / 500 \\
IV.32 Mechanics of Solids / 505 \\
IV.33 Soft Matter / 516 \\
IV.34 Control Theory / 523 \\
IV.35 Signal Processing / 533 \\
IV.36 Information Theory / 545 \\
IV.37 Applied Combinatorics and Graph Theory / 552 \\
IV.38 Combinatorial Optimization / 564 \\
IV.39 Algebraic Geometry / 570 \\
IV.40 General Relativity and Cosmology / 579 \\
Part V: Modeling \\
V.1 The Mathematics of Adaptation (Or the Ten Avatars
of Vishnu) / 591 \\
V.2 Sport / 598 \\
V.3 Inerters / 604 \\
V.4 Mathematical Biomechanics / 609 \\
V.5 Mathematical Physiology / 616 \\
V.6 Cardiac Modeling / 623 \\
V.7 Chemical Reactions / 627 \\
V.8 Divergent Series: Taming the Tails / 634 \\
V.9 Financial Mathematics / 640 \\
V.10 Portfolio Theory / 648 \\
V.11 Bayesian Inference in Applied Mathematics / 658
\\
V.12 A Symmetric Framework with Many Applications / 661
\\
V.13 Granular Flows / 665 \\
V.14 Modern Optics / 673 \\
V.15 Numerical Relativity / 680 \\
V.16 The Spread of Infectious Diseases / 687 \\
V.17 The Mathematics of Sea Ice / 694 \\
V.18 Numerical Weather Prediction / 705 \\
V.19 Tsunami Modeling / 712 \\
V.20 Shock Waves / 720 \\
V.21 Turbulence / 724 \\
Part VI: Example Problems \\
VI.1 Cloaking / 733 \\
VI.2 Bubbles / 735 \\
VI.3 Foams / 737 \\
VI.4 Inverted Pendulums / 741 \\
VI.5 Insect Flight / 743 \\
VI.6 The Flight of a Golf Ball / 746 \\
VI.7 Automatic Differentiation / 749 \\
VI.8 Knotting and Linking of Macromolecules / 752 \\
VI.9 Ranking Web Pages / 755 \\
VI.10 Searching a Graph / 757 \\
VI.11 Evaluating Elementary Functions / 759 \\
VI.12 Random Number Generation / 761 \\
VI.13 Optimal Sensor Location in the Control of
Energy-Efficient Buildings / 763 \\
VI.14 Robotics / 767 \\
VI.15 Slipping, Sliding, Rattling, and Impact:
Nonsmooth Dynamics and Its Applications / 769 \\
VI.16 From the $N$-Body Problem to Astronomy and Dark
Matter / 771 \\
VI.17 The $N$-Body Problem and the Fast Multipole
Method / 775 \\
VI.18 The Traveling Salesman Problem / 778 \\
Part VII: Application Areas \\
VII.1 Aircraft Noise / 783 \\
VII.2 A Hybrid Symbolic--Numeric Approach to Geometry
Processing and Modeling / 787 \\
VII.3 Computer-Aided Proofs via Interval Analysis / 790
\\
VII.4 Applications of Max-Plus Algebra / 795 \\
VII.5 Evolving Social Networks, Attitudes, and Beliefs
--- and Counterterrorism / 800 \\
VII.6 Chip Design / 804 \\
VII.7 Color Spaces and Digital Imaging / 808 \\
VII.8 Mathematical Image Processing / 813 \\
VII.9 Medical Imaging / 816 \\
VII.10 Compressed Sensing / 823 \\
VII.11 Programming Languages: An Applied Mathematics
View / 828 \\
VII.12 High-Performance Computing / 839 \\
VII.13 Visualization / 843 \\
VII.14 Electronic Structure Calculations (Solid State
Physics) / 847 \\
VII.15 Flame Propagation / 852 \\
VII.16 Imaging the Earth Using Green's Theorem / 857
\\
VII.17 Radar Imaging / 860 \\
VII.18 Modeling a Pregnancy Testing Kit / 864 \\
VII.19 Airport Baggage Screening with X-Ray Tomography
/ 866 \\
VII.20 Mathematical Economics / 868 \\
VII.21 Mathematical Neuroscience / 873 \\
VII.22 Systems Biology / 879 \\
VII.23 Communication Networks / 883 \\
VII.24 Text Mining / 887 \\
VII.25 Voting Systems / 891 \\
Part VIII: Final Perspectives \\
VIII.1 Mathematical Writing / 897 \\
VIII.2 How to Read and Understand a Paper / 903 \\
VIII.3 How to Write a General Interest Mathematics Book
/ 906 \\
VIII.4 Workflow / 912 \\
VIII.5 Reproducible Research in the Mathematical
Sciences / 916 \\
VIII.6 Experimental Applied Mathematics / 925 \\
VIII.7 Teaching Applied Mathematics / 933 \\
VIII.8 Mediated Mathematics: Representations of
Mathematics in Popular Culture and Why These Matter /
943 \\
VIII.9 Mathematics and Policy / 953 \\
Index / 963",
}
@Book{Kennedy:2015:CAM,
editor = "Stephen F. Kennedy and Donald J. Albers and Gerald L.
Alexanderson and Della Dumbaugh and Frank A. Farris and
Deanna B. Haunsperger and Paul Zorn",
booktitle = "A Century of Advancing Mathematics",
title = "A Century of Advancing Mathematics",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "xi + 423",
year = "2015",
ISBN = "0-88385-588-7 (hardcover), 1-61444-522-2 (e-book)",
ISBN-13 = "978-0-88385-588-1 (hardcover), 978-1-61444-522-7
(e-book)",
LCCN = "QA26 .C46 2015",
bibdate = "Fri Aug 12 19:09:34 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
abstract = "The MAA [Mathematical Association of America] was
founded in 1915 to serve as a home for The American
Mathematical Monthly. The mission of the Association
--- to advance mathematics, especially at the
collegiate level --- has, however, always been larger
than merely publishing world-class mathematical
exposition. MAA members have explored more than just
mathematics; we have, as this volume tries to make
evident, investigated mathematical connections to
pedagogy, history, the arts, technology, literature,
every field of intellectual endeavor. Essays, all
commissioned for this volume, include exposition by Bob
Devaney, Robin Wilson, and Frank Morgan; history from
Karen Parshall, Della Dumbaugh and Bill Dunham;
pedagogical discussion from Paul Zorn, Joe Gallian and
Michael Starbird, and cultural commentary from Bonnie
Gold, Jon Borwein and Steve Abbott. This volume
contains 35 essays by all-star writers and expositors
writing to celebrate an extraordinary century for
mathematics --- more mathematics has been created and
published since 1915 than in all of previous recorded
history. We've solved age-old mysteries, created entire
new fields of study, and changed our conception of what
mathematics is. Many of those stories are told in this
volume as the contributors paint a portrait of the
broad cultural sweep of mathematics during the MAA's
first century. Mathematics is the most thrilling, the
most human, area of intellectual inquiry; you will find
in this volume compelling proof of that claim.",
acknowledgement = ack-nhfb,
subject = "Mathematics; History; 20th century; 21st century;
Research; Study and teaching (Higher); Mathematics",
tableofcontents = "The hyperbolic revolution: from topology to
geometry, and back / Francis Bonahon \\
A century of complex dynamics / Daniel Alexander and
Robert L. Devaney \\
Map-coloring problems / Robin Wilson \\
Six milestones in geometry / Frank Morgan \\
Defying God: the Stanley-Wilf Conjecture, Stanley-Wilf
Limits, and a two-generation explosion of combinatorics
/ Eric S. Egge \\
What is the best approach to counting primes? / Andrew
Granville \\
A century of elliptic curves / Joseph H. Silverman \\
The Mathematical Association of America: its first 100
years / David E. Zitarelli \\
The stratification of the American mathematical
community: the Mathematical Association of America and
the American Mathematical Society, 1915-1925 / Karen
Hunger Parshall \\
Time and place: sustaining the American mathematical
community / Della Dumbaugh \\
Abstract (modern) algebra in America 1870-1950: a brief
account / Israel Kleiner \\
The history of the undergraduate program in mathematics
in the United States / Alan Tucker \\
Inquiry-based learning through the life of the MAA /
Michael Starbird \\
A passport to pleasure / Bob Kaplan and Ellen Kaplan
\\
Strength in numbers: broadening the view of the
mathematics major / Rhonda Hughes \\
A history of undergraduate research in mathematics /
Joseph A. Gallian \\
The calculus reform movement: a personal account / Paul
Zorn \\
Introducing e[superscript]x / Gilbert Strang \\
Computational experiences in the pre-electronic days /
Philip J. Davis \\
A century of visualization: one geometer's view /
Thomas F. Banchoff \\
The future of mathematics: 1965-2065 / Jonathan M.
Borwein \\
Philosophy of mathematics: what has happened since
G{\"o}del's results? / Bonnie Gold \\
Twelve classics people who love mathematics should
know; or, ``What do you mean, you haven't read E. T.
Bell?'' / Gerald L. Alexanderson \\
The dramatic life of mathematics: a centennial history
of the intersection of mathematics and theater in a
prologue, three acts, and an epilogue / Stephen D.
Abbott \\
2007: the year of Euler / William Dunham \\
The Putnam Competition: origin, lore, structure /
Leonard F. Klosinski \\
Getting involved with MAA: a path less traveled / Ezra
``Bud'' Brown \\
Henry L. Alder / Donald J. Albers and Gerald L.
Alexanderson \\
Lida K. Barrett / Kenneth A. Ross \\
Ralph P. Boas / Daniel Zelinsky \\
Leonard Gillman--Reminiscences / Martha J. Siegel \\
Paul Halmos: no apologies / John Ewing \\
Ivan Niven / Kenneth A. Ross \\
George P{\'o}lya and the MAA / Gerald L. Alexanderson",
}
@Proceedings{Reich:2015:IPO,
editor = "Simeon Reich and Alexander J. Zaslavski",
booktitle = "{Infinite products of operators and their
applications: a research workshop of the Israel Science
Foundation: May 21--24, 2012, Haifa, Israel: Israel
mathematical conference proceedings}",
title = "{Infinite products of operators and their
applications: a research workshop of the Israel Science
Foundation: May 21--24, 2012, Haifa, Israel: Israel
mathematical conference proceedings}",
volume = "636",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xi + 266",
year = "2015",
DOI = "https://doi.org/10.1090/conm/636",
ISBN = "1-4704-1480-5 (paperback)",
ISBN-13 = "978-1-4704-1480-1 (paperback)",
LCCN = "QA329 .I54 2015",
MRclass = "15-XX; 40-XX; 41-XX; 46-XX; 47-XX; 49-XX; 54-XX;
58-XX; 62-XX; 65-XX; 90-XX",
bibdate = "Fri Aug 12 19:13:19 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
URL = "http://www.ams.org/books/conm/636/",
acknowledgement = ack-nhfb,
subject = "Operator theory; Congresses; Operator spaces; Ergodic
theory; Mathematics; Linear and multilinear algebra;
matrix theory; Sequences, series, summability;
Approximations and expansions; Functional analysis;
Operator theory; Calculus of variations and optimal
control; optimization; General topology; Global
analysis, analysis on manifolds; Statistics; Numerical
analysis; Operations research, mathematical
programming.",
tableofcontents = "Preface / vii \\
Conference Program / ix \\
List of Participants / xi \\
Projection Methods: Swiss Army Knives for Solving
Feasibility and Best Approximation Problems with
Halfspaces / Heinz H. Bauschke and Valentin R. Koch / 1
\\
Projectors on Intersections of Subspaces / Adi
Ben-Israel / 41 \\
Recent Progress on Monotone Operator Theory / Jonathan
M. Borwein and Liangjin Yao / 51 \\
Feasibility-Seeking and Superiorization Algorithms
Applied to Inverse Treatment Planning in Radiation
Therapy / Ran Davidi, Yair Censor, Reinhard W. Schulte,
Sarah Geneser and Lei Xing/ 83 \\
Arbitrarily Slow Convergence of Sequences of Linear
Operators / Frank Deutsch and Hein Hundal / 93 \\
Reformulating the Pascoletti-Serafini Problem as a
Bi-Level Optimization Problem / / Aviv Gibali,
Karl-Heinz K{\"u}fer, and Philipp S{\"u}ss / 121 \\
Remetrization Theorems for Finite Families of Mappings
and Hyperbolic Iterated Function Systems / Jacek
Jachymski / 131 \\
Poisson's Equation for Mean Ergodic Operators / Michael
Lin and Laurian Suciu / 141 \\
Vector-Valued Metrics in Fixed Point Theory / Adrian
Petru{\c{s}}el, Cristina Urs, and Oana
Mle{\c{s}}ni{\c{t}}e / 149 \\
Projected Gradient Method for Non-Negative Least Square
/ Roman A. Polyak / 167 \\
Nonlinear Equilibrium for Resource Allocation Problems
/ Roman A. Polyak / 181 \\
Infinite Products of Discontinuous Operators / Evgeniy
Pustylnik and Simeon Reich / 199 \\
Contractivity, Porosity and Infinite Products / Simeon
Reich and Alexander J. Zaslavski / 203 \\
Performance of Hull-Detection Algorithms for Proton
Computed Tomography Reconstruction / Blake Schultze,
Micah Witt, Yair Censor, Reinhard Schulte and Keith
Evan Schubert / 211 \\
Attractive Point and Mean Convergence Theorems for New
Generalized Nonspreading Mappings in Banach Spaces /
Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao /
225 \\
Proximal Point Algorithms for Finding Zeros of Maximal
Monotone Operators in the Presence of Computational
Errors / Alexander J. Zaslavski / 249",
}
@Book{Scherzer:2015:HMM,
editor = "Otmar Scherzer",
booktitle = "Handbook of Mathematical Methods in Imaging",
title = "Handbook of Mathematical Methods in Imaging",
publisher = "SpringerReference",
address = "New York, NY, USA",
edition = "Second",
pages = "xviii + 2178 (3 volumes)",
year = "2015",
DOI = "https://doi.org/10.1007/978-1-4939-0790-8",
ISBN = "1-4939-0789-1 (set), 1-4939-0790-5 (e-book)",
ISBN-13 = "978-1-4939-0789-2 (set), 978-1-4939-0790-8 (e-book)",
LCCN = "RC78.7.D53 H358 2015",
bibdate = "Sat Aug 13 16:08:19 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
abstract = "The Handbook of Mathematical Methods in Imaging
provides a comprehensive treatment of the mathematical
techniques used in imaging science. The material is
grouped into two central themes, namely, Inverse
Problems (Algorithmic Reconstruction) and Signal and
Image Processing. Each section within the themes covers
applications (modeling), mathematics, numerical methods
(using a case example) and open questions. Written by
experts in the area, the presentation is mathematically
rigorous. This expanded and revised second edition
contains updates to existing chapters and 16 additional
entries on important mathematical methods such as graph
cuts, morphology, discrete geometry, PDEs, conformal
methods, to name a few. The entries are
cross-referenced for easy navigation through connected
topics. Available in both print and electronic forms,
the handbook is enhanced by more than 200 illustrations
and an extended bibliography. It will benefit students,
scientists and researchers in applied mathematics.
Engineers and computer scientists working in imaging
will also find this handbook useful.",
acknowledgement = ack-nhfb,
subject = "Diagnostic imaging; Mathematical models; Image
processing; Digital techniques; Imaging systems in
medicine; Mathematics; Medical radiology; Computer
vision; Numerical analysis; Computer vision;
Mathematics; Medical radiology; Numerical analysis",
tableofcontents = "Front Matter / i-xviii \\
Inverse Problems --- Methods \\
Front Matter / 1--1 \\
Linear Inverse Problems / Charles Groetsch / 3--46 \\
Large-Scale Inverse Problems in Imaging / Julianne
Chung, Sarah Knepper, James G. Nagy / 47--90 \\
Regularization Methods for Ill-Posed Problems / Jin
Cheng, Bernd Hofmann / 91--123 \\
Distance Measures and Applications to Multimodal
Variational Imaging / Christiane P{\"o}schl, Otmar
Scherzer / 125--155 \\
Energy Minimization Methods / Mila Nikolova / 157--204
\\
Compressive Sensing / Massimo Fornasier, Holger Rauhut
/ 205--256 \\
Duality and Convex Programming / Jonathan M. Borwein,
D. Russell Luke / 257--304 \\
EM Algorithms / Charles Byrne, Paul P. B. Eggermont /
305--388 \\
EM Algorithms from a Non-stochastic Perspective /
Charles Byrne / 389--429 \\
Iterative Solution Methods / Martin Burger, Barbara
Kaltenbacher, Andreas Neubauer / 431--470 \\
Level Set Methods for Structural Inversion and Image
Reconstruction / Oliver Dorn, Dominique Lesselier /
471--532 \\
Inverse Problems --- Case Examples \\
Front Matter / 533--533 \\
Expansion Methods / Habib Ammari, Hyeonbae Kang /
535--590 \\
Sampling Methods / Martin Hanke-Bourgeois, Andreas
Kirsch / 591--647 \\
Inverse Scattering / David Colton, Rainer Kress /
649--700 \\
Electrical Impedance Tomography / Andy Adler, Romina
Gaburro, William Lionheart / 701--762 \\
Synthetic Aperture Radar Imaging / Margaret Cheney,
Brett Borden / 763--799 \\
Tomography / Gabor T. Herman / 801--845 \\
Microlocal Analysis in Tomography / Venkateswaran P.
Krishnan, Eric Todd Quinto / 847--902 \\
Mathematical Methods in PET and SPECT Imaging /
Athanasios S. Fokas, George A. Kastis / 903--936 \\
Mathematics of Electron Tomography / Ozan {\"O}ktem /
937--1031 \\
Inverse Problems --- Case Examples Front Matter /
533--533 \\
Optical Imaging / Simon R. Arridge, Jari P. Kaipio,
Ville Kolehmainen, Tanja Tarvainen / 1033--1079 \\
Photoacoustic and Thermoacoustic Tomography: Image
Formation Principles / Kun Wang, Mark A. Anastasio /
1081--1116 \\
Mathematics of Photoacoustic and Thermoacoustic
Tomography / Peter Kuchment, Leonid Kunyansky /
1117--1167 \\
Mathematical Methods of Optical Coherence Tomography /
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer /
1169--1204 \\
Wave Phenomena / Matti Lassas, Mikko Salo, Gunther
Uhlmann / 1205--1252 \\
Sonic Imaging / Frank Natterer / 1253--1278 \\
Imaging in Random Media / Liliana Borcea / 1279--1340
\\
Image Restoration and Analysis \\
Front Matter / 1341--1341 \\
Statistical Methods in Imaging / Daniela Calvetti,
Erkki Somersalo / 1343--1392 \\
Supervised Learning by Support Vector Machines /
Gabriele Steidl / 1393--1453 \\
Total Variation in Imaging / V. Caselles, A. Chambolle,
M. Novaga / 1455--1499 \\
Numerical Methods and Applications in Total Variation
Image Restoration / Raymond Chan, Tony F. Chan, Andy
Yip / 1501--1537 \\
Mumford and Shah Model and Its Applications to Image
Segmentation and Image Restoration / Leah Bar, Tony F.
Chan, Ginmo Chung, Miyoun Jung, Luminita A. Vese, Nahum
Kiryati, Nir Sochen / 1539--1597 \\
Local Smoothing Neighborhood Filters / Jean-Michel
Morel, Antoni Buades, Tomeu Coll / 1599--1643 \\
Neighborhood Filters and the Recovery of 3D Information
/ Julie Digne, Mariella Dimiccoli, Neus Sabater,
Philippe Salembier / 1645--1673 \\
Splines and Multiresolution Analysis / Brigitte Forster
/ 1675--1716 \\
Gabor Analysis for Imaging / Ole Christensen, Hans G.
Feichtinger, Stephan Paukner / 1717--1757 \\
Shape Spaces / Alain Trouv{\'e}, Laurent Younes /
1759--1817 \\
Variational Methods in Shape Analysis / Martin Rumpf,
Benedikt Wirth / 1819--1858 \\
Manifold Intrinsic Similarity / Alexander M. Bronstein,
Michael M. Bronstein / 1859--1908 \\
Image Segmentation with Shape Priors: Explicit Versus
Implicit Representations / Daniel Cremers / 1909--1944
\\
Image Restoration and Analysis \\
Front Matter / 1341--1341 \\
Optical Flow / Florian Becker, Stefania Petra,
Christoph Schn{\"o}rr / 1945--2004 \\
Non-linear Image Registration / Lars Ruthotto, Jan
Modersitzki / 2005--2051 \\
Starlet Transform in Astronomical Data Processing /
Jean-Luc Starck, Fionn Murtagh, Mario Bertero /
2053--2098 \\
Differential Methods for Multi-dimensional Visual Data
Analysis / Werner Benger, Ren{\'e} Heinzl, Dietmar
Hildenbrand, Tino Weinkauf, Holger Theisel, David
Tschumperl{\'e} / 2099--2162 \\
Back Matter / 2163--2178",
}
@Book{Bailey:2016:PNG,
editor = "David H. Bailey and Jonathan M. Borwein",
booktitle = "Pi: the next generation: a sourcebook on the recent
history of Pi and its computation",
title = "Pi: the next generation: a sourcebook on the recent
history of Pi and its computation",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 507",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-32377-0",
ISBN = "3-319-32375-X, 3-319-32377-6 (e-book)",
ISBN-13 = "978-3-319-32375-6, 978-3-319-32377-0 (e-book)",
LCCN = "QA251",
MRclass = "11-06 (11Y60 33B20 65-03 65D20 68-03)",
MRnumber = "3559747",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Fri Sep 30 09:43:05 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1716/;
http://lib.myilibrary.com?id=941862",
ZMnumber = "1342.01042",
acknowledgement = ack-nhfb,
ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject = "Pi",
tableofcontents = "Computation of $\pi$ using arithmetic--geometric
mean (1976) / Salamin, Eugene / 1--8 \\
Fast multiple-precision evaluation of elementary
functions (1976) / Brent, Richard P. / 9--20 \\
The arithmetic--geometric mean of Gauss (1984) / Cox,
David A. / 21--78 \\
The arithmetic--geometric mean and fast computation of
elementary functions (1984) / Borwein, J. M. and
Borwein, P. B. / 79--96 \\
A simplified version of the fast algorithms of Brent
and Salamin (1985) / Newman, D. J. / 97--102 \\
Is pi normal? (1985) / Wagon, S. / 103--107 \\
The computation of $\pi$ to 29,360,000 decimal digits
using Borweins' quartically convergent algorithm (1988)
/ Bailey, David H. / 109--124 \\
Gauss, Landen, Ramanujan, the arithmetic--geometric
mean, ellipses, $\pi$, and the Ladies Diary (1988) /
Almkvist, Gert (et al.) / 125--150 \\
Vectorization of multiple-precision arithmetic program
and 201,326,000 decimal digits of pi calculation (1988)
/ Kanada, Yasumasa / 151--164 \\
Ramanujan and pi (1988) / Borwein, Jonathan M. (et al.)
/ 165--174 \\
Ramanujan, modular equations, and approximations to pi
or how to compute one billion digits of pi (1989) /
Borwein, Jonathan M. (et al.) / 175--195 \\
Pi, Euler numbers, and asymptotic expansions (1989) /
Borwein, Jonathan M. (et al.) / 197--205 \\
A spigot algorithm for the digits of $\pi$ (1995) /
Rabinowitz, Stanley (et al.) / 207--217 \\
On the rapid computation of various polylogarithmic
constants (1997) / Bailey, David H. (et al.) / 219--231
\\
Similarities in irrationality proofs for $\pi$, ln 2,
\zeta(2), and \zeta(3) (2001) / Huylebrouck, Dirk /
233--244 \\
Unbounded spigot algorithms for the digits of pi (2006)
/ Gibbons, Jeremy / 245--257 \\
Mathematics by experiment: Plausible reasoning in the
21st Century (2008) / Bailey, David H. (et al.) /
259--291 \\
Approximations to $\pi$ derived from integrals with
nonnegative integrands (2009) / Lucas, Stephen K. /
293--301 \\
Ramanujan's series for 1/$\pi$: A survey (2009) /
Baruah, Nayandeep Deka (et al.) / 303--325 \\
The computation of previously inaccessible digits of
$\pi$ / Bailey, David H. (et al.) / 327--339 \\
Walking on real numbers (2013) / Artacho, Francisco J.
Arag{\'o}n (et al.) / 341--361 \\
Birth, growth and computation of pi to ten trillion
digits (2013) / Agarwal, Ravi (et al.) / 363--423 \\
Pi day is upon us again and we still do not know if pi
is normal (2014) / Bailey, David H. (et al.) / 425--442
\\
The Life of $\pi$ (2014) / Borwein, Jonathan M. (et
al.) / 443--474 \\
I prefer pi: A brief history and anthology of articles
in the American Mathematical Monthly (2015) / Borwein,
Jonathan M. / 475--499",
}
@Book{Calude:2016:HFC,
author = "Cristian S. Calude",
booktitle = "The Human Face of Computing",
title = "The Human Face of Computing",
volume = "9",
publisher = "Imperial College Press",
address = "London, UK",
pages = "xvi + 432",
year = "2016",
DOI = "https://doi.org/10.1142/p992",
ISBN = "1-78326-643-0 (hardcover), 1-78326-645-7 (e-book)",
ISBN-13 = "978-1-78326-643-2 (hardcover), 978-1-78326-645-6
(e-book)",
LCCN = "QA76.9.C66",
bibdate = "Fri Aug 12 18:41:13 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
series = "Advances in computer science and engineering. Texts",
URL = "http://www.worldscientific.com/worldscibooks/10.1142/p992",
acknowledgement = ack-nhfb,
ORCID-numbers = "Calude, Cristian Sorin/0000-0002-8711-6799",
subject = "Computers and civilization; Computer scientists;
Interviews; Informationsgesellschaft; Computer
scientists; Computers and civilization",
tableofcontents = "Foreword / ix \\
Acronyms / xiii \\
Computing Science / 1 \\
Formal Methods / Dines Bj{\o}rner / 3 \\
Computer System and Network Performance Analysis / Erol
Gelenbe / 13 \\
From Theoretical Computer Science to Behavioural
Programming, Biology and Smell / David Harel / 35 \\
Computational Complexity / Juris Hartmanis / 47 \\
From Theory to Library of Efficient Data Typos and
Algorithms (LEDA) and Algorithm Engineering / Kurt
Mehlhorn / 59 \\
Theoretical Computer Science / Arto Salomaa / 73 \\
Concurrent Systems Specification and Verification /
Joseph Sifakis / 87 \\
Information-Based Complexity / Joseph F. Traub / 107
\\
A Stroll Through the Gardens of Computer Science / Ian
H. Witten / 127 \\
Computing in Biology, Mathematics and Physics / 139 \\
Experimental Mathematics / Jon Borwein / 141 \\
Constructive Mathematics / Douglas Bridges / 157 \\
Mathematics, Physics, Biology and Philosophy / Gregory
Chaitin / 169 \\
Qualitative Computing / Fran{\c{c}}oise Chatelin / 183
\\
Computability, Complexity Theory, Reverse Mathematics
and Algorithmic Information Theory / Rod Downey / 203
\\
Informatics, Physics and Mathematics / Jozef Gruska /
225 \\
Computations and Natural Sciences / Giuseppe Longo /
253 \\
My Life Is Not a Conveyor Belt / Yuri Manin / 277 \\
Mathematical Analysis, Languages and Fractals / Solomon
Marcus / 287 \\
Information, Quantum Mechanics and Probabilities /
Mioara Mugur-Schachter / 311 \\
Natural Computing / Grzegorz Rozenberg / 327 \\
Social Aspects of Computing / 351 \\
The Internet / Brian E. Carpenter / 353 \\
Systems, Art and CONICYT / Eric Goles / 373 \\
Mathematics, Computer Science and Life / Yuri Gurevich
/ 383 \\
Computing and Thinking about the Future / Hermann
Maurer / 399 \\
From Theory and Practice in Computing to Research
Ethics and the Surveillance State / Moshe Y. Vardi / /
409 \\
Compiler Construction and Dagstuhl / Reinhard Wilhelm /
417 \\
Postface / 429",
}
@Book{Selin:2016:EHS,
author = "Helaine Selin",
booktitle = "Encyclopaedia of the History of Science, Technology,
and Medicine in non-{Western} cultures",
title = "Encyclopaedia of the History of Science, Technology,
and Medicine in non-{Western} cultures",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "????",
year = "2016",
DOI = "https://doi.org/10.1007/978-94-007-7747-7",
ISBN = "94-007-7746-9 (set), 94-007-7747-7 (e-book),
94-007-7748-5 (bundle)",
ISBN-13 = "978-94-007-7746-0 (set), 978-94-007-7747-7 (e-book),
978-94-007-7748-4 (bundle)",
LCCN = "????",
bibdate = "Fri Aug 12 19:00:27 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://link.springer.com/referencework/10.1007/978-94-007-7747-7;
http://www.loc.gov/catdir/enhancements/fy1608/2015957805-b.html;
http://www.loc.gov/catdir/enhancements/fy1608/2015957805-d.html;
http://www.loc.gov/catdir/enhancements/fy1608/2015957805-t.html",
abstract = "This updated and augmented third edition of this
landmark encyclopedia contains approximately 1000
entries dealing in depth with the history of the
scientific, technological and medical accomplishments
of cultures outside of the United States and Europe.
The entries consist of fully updated articles together
with hundreds of entirely new topics adorned with full
color pictures. This unique reference work includes
intercultural articles on broad topics such as
mathematics and astronomy as well as thoughtful
philosophical articles on concepts and ideas related to
the study of non-Western Science, such as rationality,
objectivity, and method. You'll also find material on
religion and science, East and West, and magic and
science. This amazing resource even contains entries on
fascinating esoteric topics such as Native American
mathematics, Polynesian navigation, and African
Metallurgy. There are also biographical articles for
those cultures where individual scientists are known to
us, such as China and the Islamic world.",
acknowledgement = ack-nhfb,
tableofcontents = "Abacus \\
Agriculture in Indonesia \\
Barrow in China \\
Boats of the Precolonial Philippines: Butuan Boats \\
Calendars and Timekeeping Around the World \\
Divination: Science, Technology, and the Mantic Arts in
Traditional China \\
Environment and Nature: The Natural Environment in
Native American Thought \\
Food and the Maori \\
Hydraulic Engineering in Ancient Peru and Bolivia \\
Knowledge Systems: Indigenous Knowledge of Trees and
Forests \\
Land, Labor, Water, and Technology in Pre-Columbian
South America \\
Mausoleums of the Islamic World \\
Probability in Non-Western Cultures \\
Quinoa. A Millenary Grain in Northern Argentina \\
Ship- and Boatbuilding in Ancient Egypt \\
Technology: Inland Technology in China: Boat Building,
Steerage and Propulsion \\
Water Management and Reservoirs in India and Sri Lanka
\\
Zinc Production in China",
}
@Book{Wuppuluri:2017:STL,
author = "Shyam Wuppuluri and Giancarlo Ghirardi",
booktitle = "Space, Time, and the Limits of Human Understanding",
title = "Space, Time, and the Limits of Human Understanding",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxiv + 530",
year = "2017",
DOI = "https://doi.org/10.1007/978-3-319-44418-5",
ISBN = "3-319-44417-4, 3-319-44418-2 (e-book)",
ISBN-13 = "978-3-319-44417-8, 978-3-319-44418-5 (e-book)",
LCCN = "BD161",
bibdate = "Sat Jan 21 18:28:37 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
tableofcontents = "Foreword \\
Appendix \\
Preface \\
Acknowledgements \\
Contents \\
About the Editors \\
Philosophy \\
1 Space as a Source and as an Object of Knowledge: The
Transformation of the Concept of Space in the
Post-Kantian Philosophy of Geometry \\
1.1 Introduction \\
1.2 Three Roads to Geometrical Empiricism in the
Nineteenth Century \\
1.2.1 The Philosophical \\
1.2.2 The Natural \\
1.2.3 The Mathematical \\
1.3 Invariants and Symmetries \\
1.4 Subjectivity and Objectivity \\
1.4.1 Hermann Weyl \\
1.4.2 Ernst Cassirer \\
References \\
2 Time in Physics and Time in Awareness \\
2.1 Introduction \\
2.2 Durational Time in Mechanics Linear and Cyclic Time
\\
2.3 Metric Time and Its Relation to Symmetry Principles
\\
2.4 Irreversibility and Historical Time \\
2.5 The Birth of Time \\
2.6 Causation and Time Sequence \\
2.7 Perception of Time: Archetypes and Artifacts \\
References \\
3 Time and Space in Ancient India: Pre-philosophical
Period \\
3.1 Time in the {\`o}Rgveda \\
3.2 Time-Space Calculations and Ritual Time During the
Vedic Period \\
3.3 Space Organization in Vedic Cosmography \\
3.4 Time in the Later Vedic Tradition: Atharvaveda and
Upani{\`o}sads \\
3.5 Time and Space in the Epics \\
References \\
4 {\'S}r{\=i}har{\`o}sa on the Indefinability of Time
\\
Abstract \\
4.1 Introduction \\
4.2 Time in Ny{\=a}ya \\
4.3 {\'S}r{\=i}har{\`o}sa's Refutation of Time
(k{\=a}lakha{\`o}n{\`o}dana) \\
4.3.1 Preamble [A] \\
4.3.2 Time-Forms as Inherent (sv{\=a}bh{\=a}vika) to
Time [B] \\
4.3.3 Time-Forms as a Result from Limiting Conditions
(aup{\=a}dhika) [C] \\
4.3.4 Time-Forms as a Consequence of the Presence and
Absence of an External Activity [D] \\
4.3.5 Time-Forms Are Based on the Relation
(apek{\`o}s{\=a}) to a Particular Activity [E] \\
4.3.6 Time as a Simultaneous Object and Locus of
Cognition [F] \\
4.4 The Advaita View of Time: Citsukha and
Madhus{\=u}dana \\
4.4.1 Citsukha \\
4.4.2 Madhus{\=u}dana Sarasvat{\=i} \\
4.5 Conclusion \\
Appendix \\
8.3.4 String Theory and Extra Dimensions \\
8.4 Is Space--Time Fundamental? \\
8.4.1 Arguments for Emergence \\
8.4.2 Arguments Against Emergence of Space--Time \\
8.5 What About Time? \\
8.5.1 Arguments Against the Passage of Time \\
8.5.2 An Arguments for the Unreality of Time \\
8.5.3 Arguments Against the Unreality of Time \\
8.6 A New Look into the Debates: Primitive Ontology \\
References \\
9 Relativity Theory May not Have the Last Word on the
Nature of Time: Quantum Theory and Probabilism \\
Abstract \\
9.1 Two Views About the World \\
9.2 The Impact of Relativity Theory",
}
@Proceedings{Bailey:2020:AVC,
editor = "David H. Bailey and Naomi Simone Borwein and Richard
P. Brent and Regina S. Burachik and Judy-anne Heather
Osborn and Brailey Sims and Qiji J. Zhu",
booktitle = "From Analysis to Visualization: A Celebration of the
Life and Legacy of {Jonathan M. Borwein, Callaghan,
Australia, September 2017}",
title = "From Analysis to Visualization: A Celebration of the
Life and Legacy of {Jonathan M. Borwein, Callaghan,
Australia, September 2017}",
volume = "313",
publisher = pub-SV,
address = pub-SV:adr,
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-36568-4",
ISBN = "3-030-36567-0 (print), 3-030-36568-9 (e-book)",
ISBN-13 = "978-3-030-36567-7 (print), 978-3-030-36568-4
(e-book)",
ISSN = "2194-1009 (print), 2194-1017 (electronic)",
LCCN = "????",
MRclass = "00B20, 11-06, 26-06, 33-06, 47-06, 49-06, 52-06,
62P05, 91G99, 97-06",
bibdate = "Tue Apr 21 10:22:01 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
series = "Springer Proceedings in Mathematics \& Statistics",
ZMnumber = "07174492",
acknowledgement = ack-nhfb,
remark = "Book.",
subject = "Education / Teaching Methods and Materials /
Mathematics; Mathematics / Applied; Mathematics /
Mathematical Analysis; Mathematics / Number Theory",
subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
tableofcontents = "Part I: Applied Analysis, Optimisation, and
Convexity \\
Introduction / Regina S. Burachik and Guoyin Li / 3--5
\\
Symmetry and the Monotonicity of Certain Riemann Sums /
David Borwein and Jonathan M. Borwein and Brailey Sims
/ 7--20 \\
Risk and Utility in the Duality Framework of Convex
Analysis / R. Tyrrell Rockafellar / 21--42 \\
Characterizations of Robust and Stable Duality for
Linearly Perturbed Uncertain Optimization Problems /
Nguyen Dinh and Miguel A. Goberna and Marco A. Lopez
and Michel Volle / 43--74 \\
Comparing Averaged Relaxed Cutters and Projection
Methods: Theory and Examples / Reinier Diaz Millan and
Scott B. Lindstrom and Vera Roshchina / 75--98 \\
Part II: Education \\
Introduction / Naomi Simone Borwein / 101--102 \\
On the Educational Legacies of Jonathan M. Borwein /
Naomi Simone Borwein and Judy-anne Heather Osborn /
103--131 \\
How Mathematicians Learned to Stop Worrying and Love
the Computer / Keith Devlin / 133--139 \\
Crossing Boundaries: Fostering Collaboration Between
Mathematics Educators and Mathematicians in Initial
Teacher Education Programmes / Merrilyn Goos / 141--148
\\
Mathematics Education in the Computational Age:
Challenges and Opportunities / Kathryn Holmes /
149--152 \\
Mathematics Education for Indigenous Students in
Preparation for Engineering and Information
Technologies / Collin Phillips and Fu Ken Ly / 153--169
\\
Origami as a Teaching Tool for Indigenous Mathematics
Education / Michael Assis and Michael Donovan /
171--188 \\
Dynamic Visual Models: Ancient Ideas and New
Technologies / Damir Jungic and Veselin Jungic /
189--201 \\
A Random Walk Through Experimental Mathematics / Eunice
Y. S. Chan and Robert M. Corless / 203--226 \\
Part III: Financial Mathematics \\
Introduction / David H. Bailey and Qiji J. Zhu /
229--231 \\
A Holistic Approach to Empirical Analysis: The
Insignificance of $P$, Hypothesis Testing and
Statistical Significance* / Morris Altman / 233--253
\\
Do Financial Gurus Produce Reliable Forecasts? / David
H. Bailey and Jonathan M. Borwein and Amir Salehipour
and Marcos Lopez de Prado / 255--274 \\
Entropy Maximization in Finance / Jonathan M. Borwein
and Qiji J. Zhu / 275--295 \\
Part IV: Number Theory, Special Functions, and Pi \\
Introduction / Richard P. Brent / 299--302 \\
Binary Constant-Length Substitutions and Mahler
Measures of Borwein Polynomials / Michael Baake and
Michael Coons and Neil Manibo / 303--322 \\
The Borwein Brothers, Pi and the AGM / Richard P. Brent
/ 323--347 \\
The Road to Quantum Computational Supremacy / Cristian
S. Calude and Elena Calude / 349--367 \\
Nonlinear Identities for Bernoulli and Euler
Polynomials / Karl Dilcher / 369--376 \\
Metrical Theory for Small Linear Forms and Applications
to Interference Alignment / Mumtaz Hussain and Seyyed
Hassan Mahboubi and Abolfazl Seyed Motahari / 377--393
\\
Improved Bounds on Brun's Constant / Dave Platt and Tim
Trudgian / 395--406 \\
Extending the PSLQ Algorithm to Algebraic Integer
Relations / Matthew P. Skerritt and Paul Vrbik /
407--421 \\
Short Walk Adventures / Armin Straub and Wadim Zudilin
/ 423--439",
}
