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@PhdThesis{Borwein:1974:ORP,
author = "Jonathan Michael Borwein",
title = "Optimization w…ˆ;
@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",
CODEy…Q‹#
@Unpublished{Borwein:19xx:EMI,
author = "Jonay…Q‹#
@Unpublished{Borwein:19xx:EMI,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note = "Unpublished.",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}.",
}‚N…b‹E
@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",
}ù„z‰u
@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",
}K¡ŒZ™5
@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
ã ‡ ŽC
@Article{Borwein:1983:NFL,
author = "J. M. Borwein",
title = "A note on the {Farkas} lemma",
journal = j-UTIL-MATH,
volume = "24",
pages = õ…b‹E
@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",
}ù"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",
}
R
ùR$[ 9-=i)/!=;‚
]w=iWŽ[phdthesisborwein-jonathan-m.bibBorwein:1974:ORPJonathan Michael BorweinOptimization with respect to partial orderingsD.Phil. thesisOxford UniversityOxford, UK2001974Wed Aug 10 10:59:56 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 10:59:56 ???http://search.proquest.com/pqdtglobal/docview/1767375969/Found in Proquest, but not available for viewing. Oxford Solo catalog identifies physical location as Radcliffe Science Library.ack-nhfbM. A. H. (Michael Alan Howarth) DempsterJonathan Michael Borwein (20 May 1951--2 August 2016)Jonathan Michael BorweinOptimization with respect to partial orderingsBorwein, Jonathan/0000-0002-1263-0646
@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.",
}ŠZ '9-=w%/!=;mw=wWŠemastersthesisborwein-jonathan-m.bibBorwein:1972:MONJonathan Michael BorweinMonotone Operators and Non-Linear Functional AnalysisM.Sc. thesisOxford UniversityOxford, UK1972Thu Aug 11 17:24:59 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 17:24:59 ???Not found in Proquest or in Oxford Solo catalog.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)Jonathan Michael BorweinMonotone Operators and Non-Linear Functional AnalysisBorwein, Jonathan/0000-0002-1263-0646
@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.",
}
8Q8] 9-'M;_57!=;‚kw'QW’;articleborwein-jonathan-m.bibBorwein:1976:NFJJ. M. BorweinA note on Fritz John sufficiencyj-BULL-AUSTRAL-MATH-SOC152293--296oct101976ALNBABhttps://doi.org/10.1017/S00049727000226560004-9727 (print), 1755-1633 (electronic) OR 00049727 (print), 17551633 (electronic)0004-9727 OR 0004972790C300426851R. N. KaulWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1515/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456Bulletin of the Australian Mathematical Societyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://journals.cambridge.org/action/displayJournal?jid=BAZJ. M. BorweinA note on {Fritz John} sufficiencyBorwein, Jonathan/0000-0002-1263-0646
@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",
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MRnumber = "0426851",
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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",
},\ 9-'m#Q57'1E;Q=wY'mW‘Garticleborwein-jonathan-m.bibBorwein:1976:FPDJ. M. BorweinFractional programming without differentiabilityj-MATH-PROG111283--2901976MHPGA4https://doi.org/10.1007/BF015803960025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)0025-5610 OR 0025561090C10 (65K05)0449664Siegfried SchaibleThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1671/; http://link.springer.com/article/10.1007/BF01580396Mathematical Programmingack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/10107J. M. BorweinFractional programming without differentiabilityBorwein, Jonathan/0000-0002-1263-0646
@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",
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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",
},
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",
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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Math{\'e}matiques",
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C¹Cs\9+a=3]57#=;kw;wia=W“)articleborwein-jonathan-m.bibBorwein:1976:VSJ. Borwein and M. Edelstein and R. O'BrienVisibility and Starshapej-J-LOND-MATH-SOC-2S2-142313--318nov111976JLMSAKhttps://doi.org/10.1112/jlms/s2-14.2.3130024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)0024-6107 OR 0024610746B050428010Bor-Luh LinFri Aug 12 16:38:27 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.12 16:38:27 ???http://docserver.carma.newcastle.edu.au/1670/; http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+htmlJournal of the London Mathematical Society (series 2)ack-nhfbJ. Lond. Math. Soc. (2)Jonathan Michael Borwein (20 May 1951--2 August 2016)http://jlms.oxfordjournals.org/content/by/yearJ. Borwein and M. Edelstein and R. O'BrienVisibility and StarshapeBorwein, 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)",
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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)",
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}ŽD\9-?C+Y57'!=;gw;?CWUarticleborwein-jonathan-m.bibBorwein:1976:TCCJ. Borwein and R. O'BrienTangent cones and convexityj-CAN-MATH-BULL193257--2611976CMBUA3https://doi.org/10.4153/CMB-1976-040-x0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)0008-4395 OR 0008439546A99 (52A05)0454586A. GopfertWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1517/Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiquesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://cms.math.ca/cmb/J. Borwein and R. O'BrienTangent cones and convexityBorwein, 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",
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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journal-URL = "http://cms.math.ca/cmb/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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bibdate = "Fri Aug 12 16:38:27 2016",
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acknowledgement = ack-nhfb,
ajournal = "J. Lond. Math. Soc. (2)",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
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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",
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‚Ç
ØÂ•‚%D
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@Article{Adler:1986:PSS,
author = "Irving Adler and A. A. Jagers and J. M. Borwein",
title = "Problems and Solutions: Solutions of El‹–
@Article{Almkvist:1999:BBA,
author = "Gert Almkvist and Andrew Granville",
t†Œ#
@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)",
}|†+ŒW
@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)",
}u†Œ)
@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)",
}tŽœ
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€€
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] 9-'y=;‘w1‘'W miscborwein-jonathan-m.bibBorwein:1977:WLPJ. M. BorweinThe William Lowell Putnam Competition. A Brief History926jan11977Mon Nov 07 06:59:36 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.07 06:59:36 ???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‘$
\9-a]3]57#=;kw;wia]W“Karticleborwein-jonathan-m.bibBorwein:1977:SRVJ. Borwein and M. Edelstein and R. O'BrienSome remarks on visibility and starshapej-J-LOND-MATH-SOC-2S2-152342--344apr41977JLMSAKhttps://doi.org/10.1112/jlms/s2-15.2.3420024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)0024-6107 OR 0024610746A990442642Bor-Luh LinWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1666/; http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+htmlJournal of the London Mathematical Society (series 2)ack-nhfbJ. Lond. Math. Soc. (2)Jonathan Michael Borwein (20 May 1951--2 August 2016)http://jlms.oxfordjournals.org/content/by/yearJ. Borwein and M. Edelstein and R. O'BrienSome remarks on visibility and starshapeBorwein, Jonathan/0000-0002-1263-0646
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}a 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",
} 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 topicsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)Unpublished notes.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 topicsJ. M. BorweinThe {William Lowell Putnam} Competition. {A} Brief HistoryBorwein, Jonathan/0000-0002-1263-0646
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1882, wrote in the Harvard Graduate Magazine on ``A
Suggestion For Increasing The Undergraduate Interest In
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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,
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à êàŽ
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}ŒZ9-KU/7+=;gW#wKUWŽarticleborwein-jonathan-m.bibBorwein:1978:CCCJ. M. Borwein and R. C. O'BrienCancellation characterizes convexityNanta Mathematica111100--1021978NAMAB20077-2739 OR 0077273952A20510842John D. BaildonWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1659/Nanyang University. Nanta Mathematicaack-nhfbNanta Math.Jonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein and R. C. O'BrienCancellation characterizes convexityBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1978:CCC,
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title = "Global convergence of a non-convex {Douglas--Rachford}
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author = "Pierre Apkarian and Dominikus Noll and Laleh
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title = "Non-Smooth Optimization for Robust Control of
Infinite-Dimensional Systems",
journal = j-SET-VALUED-VAR-ANAL,
volume = "26",
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pages = "405--429",
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author = "Anonymous",
title = "{Jonathan M. Borwein}, former {CMS President}, dies at
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pages = "121--122",
month = sep,
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CODEN = "????",
ISSN = "1932-2232 (print), 1932-2240 (electronic)",
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bibdate = "Tue Apr 04 14:00:57 2017",
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@Article{An:2020:NCS,
author = "Congpei An and Yuchen Xiao",
title = "Numerical construction of spherical $t$-designs by
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journal = j-APPL-NUM-MATH,
volume = "150",
number = "??",
pages = "295--302",
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title = "On formulas for $ \pi $ experimentally conjectured by
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title = "{Borwein} and {Bradley}'s {Ap{\'e}ry}-like formulae
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number = "2",
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year = "1999",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.1999.10504398",
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ISSN-g
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]‹ \ #9+'==;‚ gw'‚
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author = "J. M. Borwein",
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abstract = "This paper presents characterizations of optimality
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\Omega $ is a convex set and $p$ and $g$ are
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55›H_!9-I+k3=‚;‡ƒw‡1IWš{techreportborwein-jonathan-m.bibBorwein:1979:COAJ. M. Borwein and H. WolkowiczCharacterizations of Optimality for the Abstract Convex ProgramResearch Report19Department of Mathematics, Dalhousie UniversityHalifax, NS, Canada54jul71979Tue Nov 08 15:45:14 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib2016.11.08 15:45:14 ???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.abstract programming; cone of positive semi-definite matrices; convexity; duality principles; facial reduction; Lagrange multipliers; Slater's condition; subgradients; symmetric matricesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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.J. M. Borwein and H. WolkowiczCharacterizations of Optimality for the Abstract Convex ProgramBorwein, Jonathan/0000-0002-1263-0646
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êê˜\ !9-'sk3=;ˆ[wˆ['sW–+techreportborwein-jonathan-m.bibBorwein:1979:DTSJ. M. BorweinDirect theorems in semi-infinite convex programmingReport11Department of Mathematics, Dalhousie UniversityHalifax, NS, Canada33apr41979Tue Nov 08 15:45:14 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.08 15:45:14 ???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].ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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].J. M. BorweinDirect theorems in semi-infinite convex programmingBorwein, Jonathan/0000-0002-1263-0646
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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",
}Žz[ 9-'a/Q77=;kQIw_'keWaarticleborwein-jonathan-m.bibBorwein:1979:MAFJ. M. BorweinA multivalued approach to the Farkas lemmaj-MATH-PROG-STUDY1042--471979MPSTDFhttps://doi.org/10.1007/BFb01208420303-3929 OR 030339290303-3929 OR 0303392990C99527056Wed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???Point-to-set maps and mathematical programming.http://docserver.carma.newcastle.edu.au/1660/; http://link.springer.com/chapter/10.1007/BFb0120842Mathematical Programming Studyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://link.springer.com/bookseries/8439J. M. BorweinPoint-to-set maps and mathematical programming.A multivalued approach to the {Farkas} lemmaBorwein, 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,
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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/;
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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3‡H
@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",
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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
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}-ˆp‘c
@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 = L”¨=
@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 IŒ˜1
@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)",
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@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",
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DOI = "https://doi.org/10.1007/BF01585105",
ISSN = "0025-5610 (print), 1436-4646 (electronic)",
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MRclass = "49A50 (90C25)",
MRnumber = "674632",S‰!’E
@Article{Borwein:1982:CDP,
author = "J. M. Borwein",
title = "Continuity and differentiability properties of convex
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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",
Mˆ4k
@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 = "WO
u 6u‹>Z 9-'SG77=;gG5w'WW)articleborwein-jonathan-m.bibBorwein:1979:TVSJ. M. BorweinTwo variants of Sylvester's theoremAtlantic Mathematics Bulletin311--1319790705-9078 OR 070590780705-9078 OR 07059078Fri Aug 12 16:08:43 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.12 16:08:43 ???http://docserver.carma.newcastle.edu.au/1658/Atlantic Mathematics Bulletinack-nhfbAtlantic Math. Bull.Jonathan Michael Borwein (20 May 1951--2 August 2016)J. M. BorweinTwo variants of {Sylvester}'s theoremBorwein, 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 = "",
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bibdate = "Fri Aug 12 16:08:43 2016",
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acknowledgement = ack-nhfb,
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author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}G[ 9-3G!K57''=;g5wU3GWIarticleborwein-jonathan-m.bibBorwein:1979:MLPJonathan M. BorweinMonochrome lines in the planej-MATH-MAG52141--451979MAMGA8https://doi.org/10.2307/26899760025-570X (print), 1930-0980 (electronic) OR 0025570X (print), 19300980 (electronic)0025-570X OR 0025570X54B20 (57N05)524202H. W. LambertWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1662/Mathematics Magazineack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.maa.org/pubs/mathmag.htmlJonathan M. BorweinMonochrome lines in the planeBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1979:MLP,
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title = "Monochrome lines in the plane",
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acknowledgement = ack-nhfb,
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Æ ÆŽK\ 9-'e)_77?=;wW#'iWsarticleborwein-jonathan-m.bibBorwein:1980:GPEJ. M. BorweinThe geometry of Pareto efficiency over conesj-OPTIMIZATION112235--2481980OPTZDQhttps://doi.org/10.1080/023319380088426500323-3898 OR 032338980233-1934 OR 0233193490C31 (58E17 90C25 90C30)640689Wed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://www.tandfonline.com/doi/abs/10.1080/02331938008842650Mathematische Operationsforschung und Statistik Series Optimizationack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.tandfonline.com/loi/gopt205 July 2007J. M. BorweinThe geometry of {Pareto} efficiency over conesBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1980:GPE,
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title = "The geometry of {Pareto} efficiency over cones",
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}i] 9-'%57K#=;iIw1'WMarticleborwein-jonathan-m.bibBorwein:1979:WLSJ. M. BorweinWeak local supportability and applications to approximationj-PAC-J-MATH822323--3381979PJMAAI0030-8730 (print), 1945-5844 (electronic) OR 00308730 (print), 19455844 (electronic)0030-8730 OR 0030873046B99 (41A25 49A27 58C20 90C30)551692Ka Sing LauWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://projecteuclid.org/euclid.pjm/1102784876Pacific Journal of Mathematicsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://msp.org/pjmJ. M. BorweinWeak local supportability and applications to approximationBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1979:WLS,
author = "J. M. Borwein",
title = "Weak local supportability and applications to
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journal = j-PAC-J-MATH,
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acknowledgement = ack-nhfb,
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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7Ô7\ 9+'?1e57'=;moww'?W‘!articleborwein-jonathan-m.bibBorwein:1980:LMJ. M. BorweinLexicographic multipliersj-J-MATH-ANAL-APPL781309--3271980JMANAKhttps://doi.org/10.1016/0022-247X(80)90228-00022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)0022-247X OR 0022247X90C25 (58C20)595782Thu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1653/; http://www.sciencedirect.com/science/article/pii/0022247X80902280Journal of Mathematical Analysis and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/0022247XJ. M. BorweinLexicographic multipliersBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1980:LM,
author = "J. M. Borwein",
title = "Lexicographic multipliers",
journal = j-J-MATH-ANAL-APPL,
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year = "1980",
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bibdate = "Thu Aug 11 10:27:38 2016",
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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})\9-=]/e57'+=;mKww=}W’;articleborwein-jonathan-m.bibBorwein:1980:HMCJ. Borwein and L. KeenerThe Hausdorff metric and Cebysev centresj-J-APPROX-THEORY284366--3761980JAXTAZhttps://doi.org/10.1016/0021-9045(80)90071-40021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)0021-9045 OR 0021904541A65 (46B20)589992S. Cobza{\c{s}}Thu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1652/; http://www.sciencedirect.com/science/article/pii/0021904580900714Journal of Approximation Theoryack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/00219045J. Borwein and L. KeenerThe {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev} centresBorwein, 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}
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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
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keywords = "convex relations; Fenchel's theorem; Lagrange
multipliers; order complete spaces; separation",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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€€}_ !9-'+k3=;‚WEw‚W'#W‘Stechreportborwein-jonathan-m.bibBorwein:1980:LMTJ. M. BorweinA Lagrange Multiplier Theorem and a Sandwich Theorem for Convex RelationsResearch Report80-1Department of Mathematics, Dalhousie UniversityHalifax, NS, Canada2615jan11980Tue Nov 08 15:45:14 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.08 15:45:14 ???We formulate and prove various separation principles for convex relations taking values in an order complete vector space. These principles subsume the standard onesconvex relations; Fenchel's theorem; Lagrange multipliers; order complete spaces; separationack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)We formulate and prove various separation principles for convex relations taking values in an order complete vector space. These principles subsume the standard onesJ. M. BorweinA {Lagrange} Multiplier Theorem and a Sandwich Theorem for Convex RelationsBorwein, Jonathan/0000-0002-1263-0646
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QQ,\ 9-'q#Q579E;Q=wY'uW‘Earticleborwein-jonathan-m.bibBorwein:1980:NPDJ. M. BorweinA note on perfect duality and limiting Lagrangeansj-MATH-PROG181330--3371980MHPGA4https://doi.org/10.1007/BF015883270025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)0025-5610 OR 0025561090C25571994N. N. Astaf{\cprime}evThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1654/; http://link.springer.com/article/10.1007/BF01588327Mathematical Programmingack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/10107J. M. BorweinA note on perfect duality and limiting {Lagrangeans}Borwein, Jonathan/0000-0002-1263-0646
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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",
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MRnumber = "763236",
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bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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@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",
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@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",
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MRclass = "15A23",
MRnumber = "74998vˆd‘K
@Article{Borwein:1984:GLC,
author = "J. M. Borwein",
title = "Generalized linear complementarity problems treated
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journal = j-J-OPT-THEORY-APPL,
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number = "3",
pages = "343--356",
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CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/BF00934459",
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@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,
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number = "1",
pages = "95--130",
year = "1984",
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pŠ”'
@Article{Borwein:1984:CHO,
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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",
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MRclm4šk
@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,
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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 = "90C4k
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author = "J. M. Borwein and H. Wolkowicz",
title = "Cone-convex programming, stability and affine
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pages = "379--397",
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bibdate = "Mon Mar 6 22:00:29 MST 1995",
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}’\ ^9'Ee+Y573%=‚?;gw;EqW”marticleborwein-jonathan-m.bibTijs:1980:SGCS. H. Tijs and J. M. BorweinSome Generalizations of Caratheodory's Theorem via Barycentres, with Application to Mathematical Programmingj-CAN-MATH-BULL233339--346sep91980CMBUA3https://doi.org/10.4153/CMB-1980-048-x0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)0008-4395 OR 0008439590C05 (46G99 58C20)593393M. BranniganWed Aug 10 11:09:47 2016http://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.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1656/Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiquesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://cms.math.ca/cmb/S. H. Tijs and J. M. BorweinSome Generalizations of {Carath{\'e}odory}'s Theorem via Barycentres, with Application to Mathematical ProgrammingBorwein, Jonathan/0000-0002-1263-0646
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@Article{Borwein:2000:LFM,
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title = "{Lipschitz} functions with maximal {Clarke}
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@Article{Borwein:2001:CMCa,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Challenges in Mathematical Computing",
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number = "3",
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year = "2001",
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DOI = "https://doi.org/10.1109/5992.919266",
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@Article{Borwein:2000:CSR,
author = "Jonathan M. Borwein and David M. Bradley and Richard
E. Crandall",
title = "Computational Strategies for the {Riemann} Zeta
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journal = j-J-COMPUT-APPL-MATH,
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number = "1--2",
pages = "247--296",
month = sep,
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ISïŒs™g
@Article{Borwein:2000:SDI,
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title = "Separable determination of integrability and
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pages = "215--221",
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year = "2000",
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DOI = "https://doi.org/10.1090/S0002-9939-99-05001-7",
ISSN = þ?ž
@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 (pr‘¢
@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"
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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",
}%
ññ”%]9-QyA_57%1%=‚;‚}!w %QyW—articleborwein-jonathan-m.bibBorwein:1981:FRCJon M. Borwein and Henry WolkowiczFacial reduction for a cone-convex programming problemj-J-AUSTRAL-MATH-SOC-SER-A303369--380feb21981JAMADShttps://doi.org/10.1017/S14467887000172500263-6115 (print), 2396-8192 (electronic) OR 02636115 (print), 23968192 (electronic)0263-6115 OR 0263611590C25; 90C4883b:90121 (614086)B. T. PolyakWed Aug 31 16:29:21 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib2016.08.31 16:29:21 ???http://docserver.carma.newcastle.edu.au/1650/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184Journal of the Australian Mathematical Society. Series A0464.90086ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://journals.cambridge.org/action/displayBackIssues?jid=JAZ28 July 1980Jon M. Borwein and Henry WolkowiczFacial reduction for a cone-convex programming problemBorwein, Jonathan/0000-0002-1263-0646
@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",
} "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",
}&
ˆU
3"wDˆf‹1–e
@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 90C2Œˆ{‘y
@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"‡‹.–_
@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 = "”ˆR‘'
@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",
MRnu~‰’
@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 = "Š’Q¥%
@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",
ISS‰’+
@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 = ƒˆ%
@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 ‰÷h÷
FSm`9†pa
@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)",
}ƒó‘J£
@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/S144618111FÊ‰}“{
@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 ó ŽV-
@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.harvardûˆc‘G
@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 = "13¯¦‡A
@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)",
}ò-
' åò\‘
¢
@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 Isü…m‹[
@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",
}…†Œ=
@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.",
}y°†Œ1
@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",
}j³f›M
@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/201TP•0ªa
@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 = Ï³‰’!
@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",
MRnumbeˆ
g&^ 9-'3Q57E;Qkw{'W‘[articleborwein-jonathan-m.bibBorwein:1981:LLCJ. M. BorweinThe limiting Lagrangian as a consequence of Helly's theoremj-J-OPT-THEORY-APPL334497--5131981JOTABNhttps://doi.org/10.1007/BF009357550022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)0022-3239 OR 0022323990C25616567Thu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1647/; http://link.springer.com/article/10.1007/BF00935755Journal of Optimization Theory and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/volumesAndIssues/10957J. M. BorweinThe limiting {Lagrangian} as a consequence of {Helly}'s theoremBorwein, Jonathan/0000-0002-1263-0646
@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",
}ontrol
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",
}'
,,•Q'_ 9-'%57…k-=;C=!wQ'#W˜1articleborwein-jonathan-m.bibBorwein:1981:LMTJ. M. BorweinA Lagrange multiplier theorem and a sandwich theorem for convex relationsj-MATH-SCAND482189--2041981MTSCAN0025-5521 (print), 1903-1807 (electronic) OR 00255521 (print), 19031807 (electronic)0025-5521 OR 0025552149A50 (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)631335Michel Th{\'e}raWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1646/; http://www.mscand.dk/article/view/11911/9927Mathematica Scandinavica0468.49007ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.mscand.dk/issue/archiveJ. M. BorweinA {Lagrange} multiplier theorem and a sandwich theorem for convex relationsBorwein, 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",
}(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",
}(e 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)$.Journal of Mathematical Analysis and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/0022247XCharacterizations 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)$.Jon Borwein and Henry WolkowiczRegularizing the abstract convex programBorwein, 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)$.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}
'
H')\ 9-!‚K=77=;ggwc!‚uW‘carticleborwein-jonathan-m.bibBorwein:1981:SRPJ. BorweinSome remarks on a paper of S. Cobzas on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica bf 4 (1974), 79--82; MR bf 51 #13553]j-BULL-CALCUTTA-MATH-SOC7315--81981BCMSA50008-0659 OR 000806590008-0659 OR 0008065946B20669750M. M. DayWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1648/Bulletin of the Calcutta Mathematical Societyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://bulletin.calmathsoc.org/database.phpJ. BorweinSome remarks on a paper of {{\c{S}. Cobza{\c{s}} on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR {\bf 51} \#13553]}}Borwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1981:SRP,
author = "J. Borwein",
title = "Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on
antiproximal sets: ``Antiproximinal sets in some Banach
spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR
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journal = j-BULL-CALCUTTA-MATH-SOC,
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acknowledgement = ack-nhfb,
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}«-(^9-K]1e57'=‚;m/owwOK]W¨=$articleborwein-jonathan-m.bibBorwein:1981:RACJon Borwein and Henry WolkowiczRegularizing the abstract convex programj-J-MATH-ANAL-APPL832495--5301981JMANAKhttps://doi.org/10.1016/0022-247X(81)90138-40022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)0022-247X OR 0022247X90C48 (90C25)641348S. ZlobecThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1645/; http://www.sciencedirect.com/science/article/pii/0022247X81901384Characterizations 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 thJ "0008-0659",
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acknowledgement = ack-nhfb,
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
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¼¼A*_ 9-'=]57K+=;gw+'W’Earticleborwein-jonathan-m.bibBorwein:1982:CDPJ. M. BorweinContinuity and differentiability properties of convex operatorsj-PROC-LONDON-MATH-SOC-3443420--4441982PLMTALhttps://doi.org/10.1112/plms/s3-44.3.4200024-6115 (print), 1460-244x (electronic) OR 00246115 (print), 1460244x (electronic)0024-6115 OR 0024611558C20 (46G99 47H99 49A51 52A07)656244Jean-Paul PenotWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1640/Proceedings of the London Mathematical Society. Third Seriesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/J. M. BorweinContinuity and differentiability properties of convex operatorsBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1982:CDP,
author = "J. M. Borwein",
title = "Continuity and differentiability properties of convex
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journal = j-PROC-LONDON-MATH-SOC-3,
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pages = "420--444",
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bibdate = "Wed Aug 10 11:09:47 2016",
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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@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)V‡aE
@Article{Borwein:1982:NSM,
author = "J. M. Borwein",
title = "A note on $ \varepsilon $-subgradients and maximal
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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)",
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journal-URL = "http://msp.org/pjm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}0ˆ#I
@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.XXm
@Article{Tijs:1980:SGC,
author = "S. H. Tijs and J. M. Borwein",
title ‡rg
@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 = "69]ˆ[‘9
@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 (4\ˆ
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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 = "6Yï
@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",
MT
å"åŽ:,\'9/IuM!QE‚;swIyMWŽyinproceedingsborwein-jonathan-m.bibBorwein:1982:COCbJ. M. Borwein and H. WolkowiczOptimality and Stability in Mathematical ProgrammingCharacterizations of optimality without constraint qualification for the abstract convex programpub-SVpub-SV:adr??--??1982https://doi.org/10.1007/BFb0120983Thu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib2016.08.11 09:36:22 MDThttp://link.springer.com/chapter/10.1007/BFb0120983ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein and H. Wolkowicz{Optimality and Stability in Mathematical Programming}Characterizations of optimality without constraint qualification for the abstract convex programBorwein, Jonathan/0000-0002-1263-0646
@InProceedings{Borwein:1982:COCb,
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title = "Characterizations of optimality without constraint
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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",
}"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",
}K
¦
_¦6M\9-Sg#Q57)E;Q=wYSgW‘'articleborwein-jonathan-m.bibBorwein:1984:TKNJ. M. Borwein and J. W. NieuwenhuisTwo kinds of normality in vector optimizationj-MATH-PROG282185--1911984MHPGA4https://doi.org/10.1007/BF026123580025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)0025-5610 OR 0025561090C31733210M. Ma{\v{n}}asThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1626/; http://link.springer.com/article/10.1007/BF02612358Mathematical Programmingack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/10107J. M. Borwein and J. W. NieuwenhuisTwo kinds of normality in vector optimizationBorwein, Jonathan/0000-0002-1263-0646
@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",
}‹L[!9-KS#k3=;%wKSWŒ+techreportborwein-jonathan-m.bibBorwein:1984:TCSJ. M. Borwein and P. B. BorweinA tangent cone separation principleReportDALTR 84-03Department of Mathematics, Dalhousie UniversityHalifax, NS, Canada67jan11984Mon Nov 07 17:37:11 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.07 17:37:11 ???Typescript, with DALTR added by hand on cover page before typewritten 84-03.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein and P. B. BorweinA tangent cone separation principleBorwein, 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.",
}mber = "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",
}M
ïÊ
ÛìýÞïŠc•G
@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,
paÎ†Œ;
@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",
}ëˆQ‘#
@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 = [‰<’y
@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 ='‰4’i
@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 = "",ø†4Œk
@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",
}d
´ £´§dO]9-s'!M77''=;MŽCKw3ŽCwW¥%articleborwein-jonathan-m.bibBorwein:1985:CLSDavid Borwein and Jonathan M. Borwein and Keith F. TaylorConvergence of lattice sums and Madelung's constantj-J-MATH-PHYS26112999--3009nov111985JMAPAQhttps://doi.org/10.1063/1.5266750022-2488 OR 002224880022-2488 OR 0022248882A67 (82A60)808518Pierre MoussaThu Aug 11 07:19:54 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 07:19:54 ???http://adsabs.harvard.edu/abs/1985JMP....26.2999B; http://docserver.carma.newcastle.edu.au/1618/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, t‚ŒZNZ %9-3Y!e'=;aw3]WŽ
incollectionborwein-jonathan-m.bibBorwein:1985:ATGJonathan M. BorweinInfinite programming (Cambridge, 1984)Alternative theorems for general complementarity problems259pub-SVpub-SV:adr194--2031985https://doi.org/10.1007/978-3-642-46564-2_1590C33 (52A40)824573J. ParidaWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???Lecture Notes in Econom. and Math. Systemsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)Jonathan M. BorweinInfinite programming ({Cambridge}, 1984)Alternative theorems for general complementarity problemsBorwein, 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",
}N-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",
}Ohe 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.Journal of Mathematical Physicsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://jmp.aip.org/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.David Borwein and Jonathan M. Borwein and Keith F. TaylorConvergence of lattice sums and {Madelung}'s constantBorwein, 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",
}"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",
}P
ˆ"
3DUfwˆ‰'’O
@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^ˆ>}
@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 (46Q‹y—s
@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, 4Aš9
@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), 65úŒb™G
@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 = "FriÏŽP#
@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, C·‰J“
@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",
°Žœ3
@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 = šh÷ ïüô‚†\†Œ
@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,
K…V‹-
@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",
}â\†Œ
@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",
}ËL‰
’
@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-E†Œ
@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",
}¯>†Œ
@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",
}—
¡¡\P[ 9-Ew3K57=‚o;gGweEkwW’+articleborwein-jonathan-m.bibBorwein:1985:PSAJon Borwein and Anatole BeckProblems and Solutions: Advanced Problems: 6491--6492j-AMER-MATH-MONTHLY923217--217mar31985AMMYAEhttps://doi.org/10.2307/23228840002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901540608Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???See also cite Beck:1987:PSS,Borwein:1986:PSS.American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlJon Borwein and Anatole BeckSee also \cite{Beck:1987:PSS,Borwein:1986:PSS}.Problems and Solutions: Advanced Problems: 6491--6492Borwein, 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",
},
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",
}Q
ºêºŽ-R[9-KA1K573!=;gmwMKAW%articleborwein-jonathan-m.bibBorwein:1985:SCSJ. M. Borwein and D. W. TingleyOn supportless convex setsj-PROC-AM-MATH-SOC943471--4761985PAMYARhttps://doi.org/10.2307/20452380002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)0002-9939 OR 0002993946B20 (46A55 52A07)787897N. T. PeckWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1619/Proceedings of the American Mathematical Societyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.ams.org/journals/procJ. M. Borwein and D. W. TingleyOn supportless convex setsBorwein, 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",
}Q] 9-!3K57=‚o;KGwe!OW‘yarticleborwein-jonathan-m.bibBorwein:1985:PSSJ. BorweinProblems and Solutions: Solutions of Advanced Problems: 6430j-AMER-MATH-MONTHLY922148--149feb21985AMMYAEhttps://doi.org/10.2307/23226560002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901540590Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???See also cite Borwein:1983:PSA.American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlJ. BorweinSee also \cite{Borwein:1983:PSA}.Problems and Solutions: Solutions of Advanced Problems: 6430Borwein, 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",
}= "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",
}R0002-9939",
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",
}S
ööS^ 9-#1K573+=;3mwM#W’articleborwein-jonathan-m.bibBorwein:1985:SMIJon BorweinSome modular identities of Ramanujan useful in approximating $ pi $j-PROC-AM-MATH-SOC953365--371nov111985PAMYARhttps://doi.org/10.2307/20458040002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)0002-9939 OR 0002993911F03 (11J72 41A25)806072Bruce C. BerndtWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1616/; https://www.jstor.org/stable/2045804Proceedings of the American Mathematical Societyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.ams.org/journals/procJon BorweinSome modular identities of {Ramanujan} useful in approximating $ \pi $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",
}5)",
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",
}T
øø”T^9+M?-!e5731=;m‚yw}U?W–earticleborwein-jonathan-m.bibBorwein:1985:TAJ. M. Borwein and H. M. StrojwasTangential approximationsj-NONLINEAR-ANAL9121347--13661985NOANDDhttps://doi.org/10.1016/0362-546X(85)90095-10362-546x (print), 1873-5215 (electronic) OR 0362546x (print), 18735215 (electronic)0362-546X OR 0362546X90C48 (46A55 90C25)820646Christian MalivertThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1617/; http://www.sciencedirect.com/science/article/pii/0362546X85900951Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methodsepi-Lipschitzian (compactly epi-Lipschitzian; Tangent cones; tangentially regular) set at a point; unsupportable spaceack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.sciencedirect.com/journal/nonlinear-analysisJ. M. Borwein and H. M. Str{\'o}jwasTangential approximationsBorwein, 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",
}"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",
}U
ˆwDUf"ˆ
3ˆ._
@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 4¿‰k“Y
@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)"©Œ˜
@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 = ²”.¨_
@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 = "0022-24®ˆv‘o
@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",
MRc«ˆ
@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. À‰’
@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)¹‰S“)
@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), 0973-7´
“tU` 9)#3]57=;‚[
w;wi#‚[W•articleborwein-jonathan-m.bibHonor:1985:DTRR. B. HonorDensity and transitivity results on $ l^infty $ and $ l^1 $j-J-LOND-MATH-SOC-2S2-323521--527dec121985JLMSAKhttps://doi.org/10.1112/jlms/s2-32.3.5210024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)0024-6107 OR 00246107Fri Aug 12 15:21:25 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.12 15:21:25 ???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.http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+htmlJournal of the London Mathematical Society (series 2)ack-nhfbJ. Lond. Math. Soc. (2)Jonathan Michael Borwein (20 May 1951--2 August 2016)http://jlms.oxfordjournals.org/content/by/yearR. B. HonorThe `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.Density and transitivity results on $ l^\infty $ and $ l^1 $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",
}ectronic)",
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",
}V
D"
3D‹A—
@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 (electro@ˆ0c
@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)",
MRnumb>‹ –C
@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 = ;‰'’Q
@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",
M6
{{‘V] 9)k3K57=‚o;EGwekIW’Carticleborwein-jonathan-m.bibAdler:1986:PSSIrving Adler and A. A. Jagers and J. M. BorweinProblems and Solutions: Solutions of Elementary Problems: E2997j-AMER-MATH-MONTHLY934304--304apr41986AMMYAEhttps://doi.org/10.2307/23236940002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901540849Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???See also cite Asic:1983:PSE.American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlIrving Adler and A. A. Jagers and J. M. BorweinSee also \cite{Asic:1983:PSE}.Problems and Solutions: Solutions of Elementary Problems: {E2997}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",
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element solutions, which are central to the present
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ÖÖ'^^9-M!%Y57?+=;gw;U-W’articleborwein-jonathan-m.bibBorwein:1986:PABJ. M. Borwein and H. M. StrojwasProximal analysis and boundaries of closed sets in Banach space. I. Theoryj-CAN-J-MATH382431--4521986CJMAABhttps://doi.org/10.4153/CJM-1986-022-40008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)0008-414X OR 0008414X90C48 (46B10 49A50 58C20)833578Bruce D. CravenWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1611/Canadian Journal of Mathematics. Journal Canadien de Mathematiquesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://cms.math.ca/cjm/J. M. Borwein and H. M. Str{\'o}jwasProximal analysis and boundaries of closed sets in {Banach} space. {I}. {Theory}Borwein, Jonathan/0000-0002-1263-0646
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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¬ƒ¬T`]9-Q3K57=;GweQWŽwarticleborwein-jonathan-m.bibBorwein:1986:PSSJon Borwein and William A. NewcombProblems and Solutions: Solutions of Advanced Problems: 6491j-AMER-MATH-MONTHLY9310822--8231986AMMYAEhttps://doi.org/10.2307/23229520002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901541009Wed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlJon Borwein and William A. NewcombProblems and Solutions: Solutions of Advanced Problems: 6491Borwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1986:PSS,
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title = "Problems and Solutions: Solutions of Advanced
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bibdate = "Wed Aug 10 11:09:47 2016",
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acknowledgement = ack-nhfb,
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}z_^ 9-'Y+Q57?+E;QGwY'YW’i articleborwein-jonathan-m.bibBorwein:1986:PMOJ. M. BorweinPartially monotone operators and the generic differentiability of convex-concave and biconvex mappingsj-ISRAEL-J-MATH54142--501986ISJMAPhttps://doi.org/10.1007/BF027648750021-2172 (print), 1565-8511 (electronic) OR 00212172 (print), 15658511 (electronic)0021-2172 OR 0021217290C48 (47H05 49A51 58C20)852468Jean-Paul PenotThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1605/; http://link.springer.com/article/10.1007/BF02764875Israel Journal of Mathematicsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/11856J. M. BorweinPartially monotone operators and the generic differentiability of convex-concave and biconvex mappingsBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1986:PMO,
author = "J. M. Borwein",
title = "Partially monotone operators and the generic
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journal = j-ISRAEL-J-MATH,
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fˆ
3wDˆ"UfŠu•m
@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 = Ö1ºe
@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",
MRclassÑï
@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 = "46áˆx‘s
@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 = "0ß‰z“w
@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)",
Ôˆ’
@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 = "0002-9890Å‰’5
@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 = "82AÝ,š[
@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 = Ø,
MRclass = "90C48",
MRnumber = "842636",
MRreviewer = "W. W. Breckner",
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journal-URL = "http://link.springer.com/journal/10107",
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ff‘a^9-I#Q57)E‚;Q=wYIW“articleborwein-jonathan-m.bibBorwein:1986:SCQJ. M. Borwein and H. WolkowiczA simple constraint qualification in infinite-dimensional programmingj-MATH-PROG35183--961986MHPGA4https://doi.org/10.1007/BF015894430025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)0025-5610 OR 0025561090C48842636W. W. BrecknerThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib2016.08.11 09:36:22 MDThttp://docserver.carma.newcastle.edu.au/1606/; http://link.springer.com/article/10.1007/BF01589443Mathematical Programmingack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/10107J. M. Borwein and H. WolkowiczA simple constraint qualification in infinite-dimensional programmingBorwein, Jonathan/0000-0002-1263-0646
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title = "A simple constraint qualification in
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‘tb^ 9-'q3Q57?+E;Qkw{'qW“Y,articleborwein-jonathan-m.bibBorwein:1986:SRPJ. M. BorweinStability and regular points of inequality systemsj-J-OPT-THEORY-APPL4819--521986JOTABNhttps://doi.org/10.1007/BF009385880022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)0022-3239 OR 0022323958C20 (46N05 90C30 90C48)825383Lionel ThibaultThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDTFourth symposium on nonlinear programming with data perturbations.http://docserver.carma.newcastle.edu.au/1612/; http://link.springer.com/article/10.1007/BF00938588Journal of Optimization Theory and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://link.springer.com/journal/volumesAndIssues/10957J. M. BorweinFourth symposium on nonlinear programming with data perturbations.Stability and regular points of inequality systemsBorwein, Jonathan/0000-0002-1263-0646
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1Œd] '9-'q!cE;w'qWŒkinproceedingsborwein-jonathan-m.bibBorwein:1987:CCMJ. M. BorweinRecent Advances and Historical Development of Vector OptimizationConvex Cones, Minimality Notions, and Consequencespub-SVpub-SV:adr??--??1987https://doi.org/10.1007/978-3-642-46618-2_3Thu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDThttp://link.springer.com/chapter/10.1007/978-3-642-46618-2_3ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein{Recent Advances and Historical Development of Vector Optimization}Convex Cones, Minimality Notions, and ConsequencesBorwein, Jonathan/0000-0002-1263-0646
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ôô¬f`9-sG1e57K)=;moww7sGW¨_articleborwein-jonathan-m.bibBorwein:1987:DRFJ. M. Borwein and S. P. Fitzpatrick and J. R. GilesThe differentiability of real functions on normed linear space using generalized subgradientsj-J-MATH-ANAL-APPL1282512--5341987JMANAKhttps://doi.org/10.1016/0022-247X(87)90203-40022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)0022-247X OR 0022247X58C20 (26E15 46G05 49A52 90C48)917385W. W. BrecknerThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1598/; http://www.sciencedirect.com/science/article/pii/0022247X87902034The 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 Gateaux differentiability of any real function can be deduced from the Gateaux 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 Gateaux 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 Gateaux differentiability. However, on a Banach space with rotund dual, the Frechet differentiability of a dis¯‰xe\ %9-'a!=;w'aWŠ'incollectionborwein-jonathan-m.bibBorwein:1987:CMNJ. M. BorweinRecent Advances and Historic Development of Vector OptimizationCones, minimality notions and consequencespub-SVpub-SV:adr62--851987Mon Aug 15 15:09:27 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.15 15:09:27 ???ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. BorweinRecent Advances and Historic Development of Vector OptimizationCones, minimality notions and consequencesBorwein, Jonathan/0000-0002-1263-0646
@InCollection{Borwein:1987:CMN,
author = "J. M. Borwein",
booktitle = "Recent Advances and Historic Development of Vector
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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",
}7X (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",
}ftance function implies that it is a convex function. A mean value theorem for the modified generalized subdifferential has implications for Gateaux differentiability.Journal of Mathematical Analysis and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/0022247XThe 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.J. M. Borwein and S. P. Fitzpatrick and J. R. GilesThe differentiability of real functions on normed linear space using generalized subgradientsBorwein, 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",
} 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",
}g
FF“7g_!9-IG‚i=;ƒgwƒkIGW“techreportborwein-jonathan-m.bibBorwein:1987:EIEJ. M. Borwein and I. J. ZuckerElliptic Integral Evaluation of the Gamma Function at Values with Small Rational DenominatorsReportDepartment of Mathematics, Statistics and Computing Science, Dalhousie University and Department of Physics, King's CollegeHalifax, NS B3H 3J5, Canada and London WC2, UK132sep91987Fri Nov 11 06:50:29 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.11 06:50:29 ???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) $.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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) $.J. M. Borwein and I. J. ZuckerElliptic Integral Evaluation of the Gamma Function at Values with Small Rational DenominatorsBorwein, 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",
}"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",
}h
77•Fh` 9-= -!e57?)=;m‚‚Iw}=W˜articleborwein-jonathan-m.bibBorwein:1987:ELLJonathan Michael BorweinEpi-Lipschitz-like sets in Banach space: theorems and examplesj-NONLINEAR-ANAL11101207--12171987NOANDDhttps://doi.org/10.1016/0362-546X(87)90008-30362-546x (print), 1873-5215 (electronic) OR 0362546x (print), 18735215 (electronic)0362-546X OR 0362546X90C48 (46G99 58C20 90C25)913679J. E. SpingarnThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1599/; http://www.sciencedirect.com/science/article/pii/0362546X87900083Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methodsdifferential inclusions; epi-Lipschitz-like sets; Lipschitz-like functions; locally compact subgradients; non-support points; Nonsmooth analysis; normal conesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.sciencedirect.com/journal/nonlinear-analysisJonathan Michael BorweinEpi-{Lipschitz}-like sets in {Banach} space: theorems and examplesBorwein, 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",
}685 (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",
}i
ˆ"
3ˆwDUf†X3
@Book{Borowski:1988:DM,
author = "E. J. (Ephraim J.)ˆH‘
@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 = "
‹–1
@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 = "6ˆ={
@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 =ˆ+
@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 =‰’
@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 (ele‰’=
@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 =ˆ%
@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)",ˆ}‘{
@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",
MRclas
ee‘i_9-KQ57%E;/s QwK/W“)articleborwein-jonathan-m.bibBorwein:1987:ERTJ. M. Borwein and P. B. BorweinExplicit Ramanujan-type approximations to pi of high orderProceedings of the Indian Academy of Sciences --- Mathematical Sciences971--353--591987https://doi.org/10.1007/BF028378130253-4142 (print), 0973-7685 (electronic) OR 02534142 (print), 09737685 (electronic)0253-4142 OR 0253414211Y60983604D. H. LehmerThu Aug 11 09:36:22 MDT 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 09:36:22 MDTCentennial issue.http://link.springer.com/article/10.1007/BF02837813Indian Academy of Sciences. Proceedings. Mathematical Sciencesack-nhfbProc. Indian Acad. Sci. Math. Sci.Jonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein and P. B. BorweinCentennial issue.Explicit {Ramanujan}-type approximations to pi of high orderBorwein, 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",
}anada 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.",
}j
jja!9-Q‚Wi=;‡m‚w‡mQW#techreportborwein-jonathan-m.bibBorwein:1987:ESED. Borwein and J. M. Borwein and R. Shail and I. J. ZuckerEnergy of Static Electron LatticesReportUniversity of Western Ontario and Department of Mathematics, Statistics and Computing Science, Dalhousie University and University of Surrey and University of SurreyLondon, ON N6A 3K7, Canada and Halifax, NS B3H 3J5, Canada and Guildford, UK GU2 5XH and Guildford, UK GU2 5XH2011sep91987Fri Nov 11 06:54:37 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.11 06:54:37 ???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.Date recorded in ambiguous form 11/9/87; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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.D. Borwein and J. M. Borwein and R. Shail and I. J. ZuckerEnergy of Static Electron LatticesBorwein, Jonathan/0000-0002-1263-0646
@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.",
}",
ISSN-L = "0008-414X",
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bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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acknowledgement = ack-nhfb,
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journal-URL = "http://cms.math.ca/cjm/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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ÍÍ0k^9-M/%Y573+=;gw;U;W’-articleborwein-jonathan-m.bibBorwein:1987:PABJ. M. Borwein and H. M. StrojwasProximal analysis and boundaries of closed sets in Banach space. II. Applicationsj-CAN-J-MATH392428--4721987CJMAABhttps://doi.org/10.4153/CJM-1987-019-40008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)0008-414X OR 0008414X46B20 (41A65 90C48)899844Bruce D. CravenWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1600/Canadian Journal of Mathematics. Journal Canadien de Mathematiquesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://cms.math.ca/cjm/J. M. Borwein and H. M. Str{\'o}jwasProximal analysis and boundaries of closed sets in {Banach} space. {II}. {Applications}Borwein, Jonathan/0000-0002-1263-0646
@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",
} 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",
}l½ 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 ComputationChinese edition 1995.Number theory; Computational complexity; Elliptic functions; PiComplete 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 Indexack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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 ComputationJonathan M. Borwein and Peter B. BorweinPi and the {AGM}: a Study in Analytic Number Theory and Computational ComplexityComplete 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 \\ IndexBorwein, 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
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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",
}
‡‡Žvm[9-Gc3K5731=;gowOGgW_articleborwein-jonathan-m.bibBorwein:1987:PNFJ. M. Borwein and J. R. GilesThe proximal normal formula in Banach spacej-TRANS-AM-MATH-SOC3021371--3811987TAMTAMhttps://doi.org/10.2307/20009150002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)0002-9947 OR 0002994749A52 (46B20 46G05)887515Gianfranco BottaroWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1602/Transactions of the American Mathematical Societyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.ams.org/journals/tran/J. M. Borwein and J. R. GilesThe proximal normal formula in {Banach} spaceBorwein, Jonathan/0000-0002-1263-0646
@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",
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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",
}Ïqld9-])')E-'=‚W;‚›7‡iw›E]-ˆ7WÇbookborwein-jonathan-m.bibBorwein:1987:PASJonathan M. Borwein and Peter B. BorweinPi and the AGM: a Study in Analytic Number Theory and Computational Complexitypub-WILEYpub-WILEY:adrxv + 41419870-471-83138-7, 0-471-31515-X (paperback) OR 0471831387, 047131515X (paperback)978-0-471-83138-9, 978-0-471-31515-5 (paperback) OR 9780471831389, 9780471315155 (paperback)QA241 .B774 198711Y60 (68Q30)877728H. LondonWed Aug 10 11:09:47 2016https://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/Voyager2016.08.10 11:09:47 ???Canadian Mathematical Society series of monographs and advanced texts = Monographies et etudes de la Societe mathematique du CanadaCritical 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 the¼6G05)",
MRnumber = "887515",
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bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}mJ. 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)",
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Series",
journal-URL = "http://www.indianmathsociety.org.in/jims.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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articleborwein-jonathan-m.bibBorwein:1987:RRAJ. M. Borwein and P. B. BorweinRamanujan's rational and algebraic series for $ 1 / pi $J. Indian Math. Soc. (N.S.)51147--160 (1988)1987JIMTA20019-5839 OR 001958390019-5839 OR 0019583911Y60 (33A30)988313Herman J. J. te RieleWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???Ramanujan Centennial issue.The Journal of the Indian Mathematical Society. New Seriesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.indianmathsociety.org.in/jims.htmJ. M. Borwein and P. B. BorweinRamanujan Centennial issue.{Ramanujan}'s rational and algebraic series for $ 1 / \pi $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 $",
journal = "J. Indian Math. Soc. (N.S.)",
volume = "51",
pages = "147--160 (1988)",
year = "1987",
CODEN = "JIMTA2",
ISSN = "0019-5839",
ISSN-L = "0019-5839",
MRclass = "11Y60 (33A30)",
MRnumber = "988313",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
note = "Ramanujan Centennial issue.",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "The Journal of the Indian Mathematical Society. New
Series",
journal-URL = "http://www.indianmathsociety.org.in/jims.htm",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}7/2000681",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)",
MRnumber = "902782",
MRreviewer = "B. Mordukhovich",
bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
URL = "http://docserver.carma.newcastle.edu.au/1597/;
https://www.jstor.org/stable/2000681",
acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
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journal-URL = "http://www.ams.org/journals/tran/",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
remark = "According to \cite{Thera:2016:HSH}, this paper is the
first published {\em smooth variational principle}.",
}o
ˆDfwˆ
3"U†X3
@Book{Borowski:1988:DM,
author = "E. J. (Ephraim J.)ˆ!
@Article{Borwein:1989:MCK,
author = "Jonathan M. Borwein and Simon Fitzpatrick",
title = "{Mosco} convergence and the {Kadec} property",
journal = j-PROC-AM-MATH-SOC,
volume = "106",
number = "3",
pages = "843--851",
year = "1989",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2047444",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "46B2çˆ$I
@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 9æˆG‘
@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 äˆk‘W
@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 = óŒ˜
@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)",
â`›A
@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 (printé‹–
@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 = îˆ5k
@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 = ë
ÏÏ”.o_9/Uw3K57o+=;3oUwOUwW–1articleborwein-jonathan-m.bibBorwein:1987:SVPaJonathan M. Borwein and David PreissA smooth variational principle with applications to subdifferentiability and to differentiability of convex functionsj-TRANS-AM-MATH-SOC3032517--527oct101987TAMTAMhttps://doi.org/10.2307/20006810002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)0002-9947 OR 0002994749A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)902782B. MordukhovichWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1597/; https://www.jstor.org/stable/2000681Transactions of the American Mathematical SocietyAccording to cite Thera:2016:HSH, this paper is the first published em smooth variational principle.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.ams.org/journals/tran/Jonathan M. Borwein and David PreissA smooth variational principle with applications to subdifferentiability and to differentiability of convex functionsBorwein, 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}.",
}",
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",
}p
zp[9-K[3K57=‚o;UGweK[W’articleborwein-jonathan-m.bibBorwein:1987:UPWJ. M. Borwein and P. B. BorweinUnsolved Problems: The Way of All Meansj-AMER-MATH-MONTHLY946519--522jun61987AMMYAEhttps://doi.org/10.2307/23228420002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901541118Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???https://www.jstor.org/stable/2322842American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlJ. M. Borwein and P. B. BorweinUnsolved Problems: The Way of All MeansBorwein, Jonathan/0000-0002-1263-0646
@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,
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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",
}",
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",
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ææq[ 93Wm3K57=‚o;QGwcWUmW‘Garticleborwein-jonathan-m.bibSchoenberg:1987:APSI. J. Schoenberg and Peter B. BorweinAdvanced Problems and Solutions: Solutions: 6501j-AMER-MATH-MONTHLY944390--390apr41987AMMYAEhttps://doi.org/10.2307/23231150002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 00029890Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???See also cite Schoenberg:1985:PSA.American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmI. J. Schoenberg and Peter B. BorweinSee also \cite{Schoenberg:1985:PSA}.Advanced Problems and Solutions: Solutions: 6501Borwein, 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",
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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",
} "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",
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‘ur[9'E[9!K57?/-=‚};g]wC5)E[W”Aarticleborwein-jonathan-m.bibWard:1987:NCFD. E. Ward and J. M. BorweinNonsmooth Calculus in Finite Dimensionsj-SIAM-J-CONTROL-OPTIM2551312--1340sep91987SJCODChttps://doi.org/10.1137/03250720363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)0363-0129 OR 0363012958C20 (46G05 49A52 90C48)905047, 88m:58011A. B. N{\'e}methWed Aug 10 11:09:47 2016http://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.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1601/SIAM Journal on Control and Optimizationack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://epubs.siam.org/siconSIAM J Control OptimSeptember 1987D. E. Ward and J. M. BorweinNonsmooth Calculus in Finite DimensionsBorwein, 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)",
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bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5;
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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",
},
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.",
}s
$$•Ys\9/_U1Y57/=„M;Oƒ5wm_UW˜1articleborwein-jonathan-m.bibBarzilai:1988:TPSJonathan Barzilai and Jonathan M. BorweinTwo-Point Step Size Gradient Methodsj-IMA-J-NUMER-ANAL81141--1481988IJNADHhttps://doi.org/10.1093/imanum/8.1.1410272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)0272-4979 OR 0272497965K05967848, 90h:65113Wed Aug 10 11:09:47 2016http://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 database2016.08.10 11:09:47 ???IMA Journal of Numerical AnalysisAccording 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.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://imajna.oxfordjournals.org/content/by/yearJonathan Barzilai and Jonathan M. BorweinTwo-Point Step Size Gradient MethodsBorwein, 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",
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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.",
}
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)",
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ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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û_ûŒau[9-s?#+sEU;S?wsS?W3žbookborwein-jonathan-m.bibBorowski:1988:DME. J. (Ephraim J.) Borowski and Jonathan M. BorweinDictionary of mathematicspub-COLLINSpub-COLLINS:adrxi + 65919880-00-434347-6 (paperback) OR 0004343476 (paperback)978-0-00-434347-1 (paperback) OR 9780004343471 (paperback)QA5Mon Oct 23 07:36:34 MDT 2017fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2017.10.23 07:36:34 MDTWith contributions by J. F. Bowers.Mathematics; Dictionariesack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)E. J. (Ephraim J.) Borowski and Jonathan M. BorweinWith contributions by J. F. Bowers.Dictionary of mathematicsBorwein, 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",
}t]9-e9K57K3=;]wCe!WUarticleborwein-jonathan-m.bibBen-Tal:1988:DAMA. Ben-Tal and J. M. Borwein and M. TeboulleA dual approach to multidimensional $ L_p $ spectral estimation problemsj-SIAM-J-CONTROL-OPTIM264985--9961988SJCODEhttps://doi.org/10.1137/03260530363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)0363-0129 OR 0363012949A55 (42A05 49D29 90C25 94A11)948654Krzysztof C. KiwielWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???SIAM Journal on Control and Optimizationack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://epubs.siam.org/siconA. Ben-Tal and J. M. Borwein and M. TeboulleA dual approach to multidimensional {$ L_p $} spectral estimation problemsBorwein, Jonathan/0000-0002-1263-0646
@Article{Ben-Tal:1988:DAM,
author = "A. Ben-Tal and J. M. Borwein and M. Teboulle",
title = "A dual approach to multidimensional {$ 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",
} 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",
}v
ýýšv^!9-Ku/C=;‡‚Aw‡K}W™Gtechreportborwein-jonathan-m.bibBorwein:1988:CCJJ. M. Borwein and P. B. BorweinA Cubic Counterpart of Jacobi's Identity and the AGMReportDepartment of Mathematics, Statistics and Computing Science, Dalhousie UniversityHalifax, NS B3H 3J5, Canada2031dec121988Fri Nov 11 07:03:04 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.11 07:03:04 ???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.$pi $; arithmetic--geometric mean (AGM); cubic transformations; generalised elliptic functions; hypergeometric functions; mean iterations; theta functionsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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.J. M. Borwein and P. B. BorweinA Cubic Counterpart of {Jacobi}'s Identity and the {AGM}Borwein, Jonathan/0000-0002-1263-0646
@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",
} = "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
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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
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}wions, 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.J. M. Borwein and P. B. BorweinOn the Complexity of Familiar Functions and NumbersBorwein, Jonathan/0000-0002-1263-0646
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bibsource = "ACM Computing Archive CD-ROM database (1991);
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abstract = "This paper examines low-complexity approximations to
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suggest that it is possible to base a taxonomy of such
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subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
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articleborwein-jonathan-m.bibBorwein:1988:CFFJ. M. Borwein and P. B. BorweinOn the Complexity of Familiar Functions and Numbersj-SIAM-REVIEW304589--601dec121988SIREADhttps://doi.org/10.1137/10301340036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)0036-1445 OR 0036144568Q25 (03D15 11Y16)967961, 89k:68061Klaus W. WagnerWed Aug 10 11:09:47 2016ACM 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.bib2016.08.10 11:09:47 ???http://docserver.carma.newcastle.edu.au/1593/; https://www.jstor.org/stable/2030559This 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.SIAM Review. A Publication of the Society for Industrial and Applied MathematicsAlgebraic Approximation; Approximation Theory; Computation of Digits; Familiar Functions; Low Complexity Approximation; Mathematical Techniques; Rational Approximation; Reduced Complexity ApproximationG. 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 DEVICESack-nhfbHalifax, NS, CanJonathan Michael Borwein (20 May 1951--2 August 2016)http://epubs.siam.org/sirevSIAM RevDecember 1988This 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 functÒISSN-L = "0305-4470",
MRclass = "82A65 (81H99)",
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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/;
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
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cc‰3yZ%9-K_-+=;wKeWŠincollectionborwein-jonathan-m.bibBorwein:1988:MRTJ. M. Borwein and P. B. BorweinMore Ramanujan-type series for $ 1 / pi $Andrews:1988:RRP359--374198811Y60938974Duncan A. BuellWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. Borwein and P. B. BorweinMore {Ramanujan}-type series for $ 1 / \pi $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 $",
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pages = "359--374",
year = "1988",
MRclass = "11Y60",
MRnumber = "938974",
MRreviewer = "Duncan A. Buell",
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articleborwein-jonathan-m.bibBorwein:1988:ESED. Borwein and J. M. Borwein and R. Shail and I. J. ZuckerEnergy of static electron latticesj-J-PHYS-A2171519--1531apr41988JPHAC5https://doi.org/10.1088/0305-4470/21/7/0150305-4470 (print), 1361-6447 (electronic) OR 03054470 (print), 13616447 (electronic)0305-4470 OR 0305447082A65 (81H99)951042Thu Aug 11 07:19:54 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 07:19:54 ???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=015Journal of Physics. A. Mathematical and Generalack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://iopscience.iop.org/1751-8121D. Borwein and J. M. Borwein and R. Shail and I. J. ZuckerEnergy of static electron latticesBorwein, Jonathan/0000-0002-1263-0646
@Article{Borwein:1988:ESE,
author = "D. Borwein and J. M. Borwein and R. Shail and I. J.
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bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
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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,
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¦¦”Wz^9+]-!q57=‚;‚c‚!3w]]‚g5W•marticleborwein-jonathan-m.bibBorwein:1988:RPJonathan M. Borwein and Peter B. BorweinRamanujan and Pij-SCI-AMER2582112--117feb21988SCAMAChttps://doi.org/10.1038/scientificamerican0288-1120036-8733 (print), 1946-7087 (electronic) OR 00368733 (print), 19467087 (electronic)0036-8733 OR 00368733Wed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/sciam1980.bib2016.08.10 11:09:47 ???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.http://docserver.carma.newcastle.edu.au/1379/; http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdfScientific Americanack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.nature.com/scientificamericanJonathan M. Borwein and Peter B. BorweinJapanese 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}.{Ramanujan} and {Pi}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",
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bibdate = "Wed Aug 10 11:09:47 2016",
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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,
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fjournal = "Scientific American",
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} "0022-247X (print), 1096-0813 (electronic)",
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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",
}{
¦¦šW{`9-Ik1e57?+=;m„}oww„}IkWš[articleborwein-jonathan-m.bibBorwein:1988:VNSJ. M. Borwein and D. M. ZhuangVerifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued mapsj-J-MATH-ANAL-APPL1342441--4591988JMANAKhttps://doi.org/10.1016/0022-247X(88)90034-00022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)0022-247X OR 0022247X90C48 (54C60 58C20 90C25)961349Jean-Paul PenotThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1594/; http://www.sciencedirect.com/science/article/pii/0022247X88900340We 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.''Journal of Mathematical Analysis and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/0022247XWe 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.''J. M. Borwein and D. M. ZhuangVerifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued mapsBorwein, Jonathan/0000-0002-1263-0646
@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,
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number = "2",
pages = "441--459",
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DOI = "https://doi.org/10.1016/0022-247X(88)90034-0",
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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",
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}322769",
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bibsource = "https://www.jstor.org/journals/00029890.htm;
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acknowledgement = ack-nhfb,
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@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 (05C3ŠH•
@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 = "05A‡_?
@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",
}Ÿˆn‘]
@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 = ˆ"E
@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",
MRcla!
@Article{Hon‡I
@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",
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‘v|_9/3K57=‚o;KGweOW“?articleborwein-jonathan-m.bibDeutsch:1988:PSSaEmeric Deutsch and Jonathan M. Borwein and Paul Cull and G. BehrendtProblems and Solutions: Solutions of Elementary Problems: E3159j-AMER-MATH-MONTHLY956557--558jun61988AMMYAEhttps://doi.org/10.2307/23227690002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901541335Wed Aug 10 11:09:47 2016https://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.bib2016.08.10 11:09:47 ???See also cite Deutsch:1986:PSE.American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlEmeric Deutsch and Jonathan M. Borwein and Paul Cull and G. BehrendtSee also \cite{Deutsch:1986:PSE}.Problems and Solutions: Solutions of Elementary Problems: {E3159}Borwein, Jonathan/0000-0002-1263-0646
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ÀÀ=}\9-_M1e57'+=;moww_MW’5articleborwein-jonathan-m.bibBorwein:1989:ACLD. Borwein and J. M. Borwein and R. ShailAnalysis of certain lattice sumsj-J-MATH-ANAL-APPL1431126--1371989JMANAKhttps://doi.org/10.1016/0022-247X(89)90032-20022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)0022-247X OR 0022247X82A67 (11M99)1019453A. K. RajagopalThu Aug 11 10:27:38 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.11 10:27:38 ???http://docserver.carma.newcastle.edu.au/1589/; http://www.sciencedirect.com/science/article/pii/0022247X89900322Journal of Mathematical Analysis and Applicationsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)http://www.sciencedirect.com/science/journal/0022247XD. Borwein and J. M. Borwein and R. ShailAnalysis of certain lattice sumsBorwein, Jonathan/0000-0002-1263-0646
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title = "{Srinivasa Ramanujan und die Zahl Pi}. ({German})
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??•=
_9-KO/Q;W573)=};uEwQw[KOW—articleborwein-jonathan-m.bibBorwein:1990:RCMJ. M. Borwein and P. B. BorweinComputational methods and function theory (Valparaiso, 1989)A remarkable cubic mean iterationj-LECT-NOTES-MATH143527--311990LNMAA2https://doi.org/10.1007/BFb00878943-540-52768-0 (print), 3-540-47139-1 (e-book) OR 3540527680 (print), 3540471391 (ebook)978-3-540-52768-8 (print), 978-3-540-47139-4 (e-book) OR 9783540527688 (print), 9783540471394 (ebook)0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)0075-8434 OR 0075843433C051071759 (92b:33003)W. H. J. FuchsWed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib2016.08.10 11:09:47 ???http://link.springer.com/chapter/10.1007/BFb0087894/Lecture Notes in Mathematicsack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://doi.org/10.1007/BFb0087892http://www.springerlink.com/content/978-3-540-47139-4http://link.springer.com/bookseries/304J. M. Borwein and P. B. BorweinComputational methods and function theory ({Valpara}{\'\i}so, 1989)A remarkable cubic mean iterationBorwein, Jonathan/0000-0002-1263-0646
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booktitle = "Computational methods and function theory
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bibdate = "Wed Aug 10 11:09:47 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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acknowledgement = ack-nhfb,
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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pagecount = "11",
remark = "The title in the PDF file is ``A Survey of Convex
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}^ '9/'AQ+['=;%‚Qw'aA/W’iinproceedingsborwein-jonathan-m.bibBorwein:1990:SDPaJ. M. BorweinGustave Choquet and othersSeminaire d'initiation a l'analyzeA survey of differentiability properties of convex, Lipschitz and lsc functionsPubl. Math. Univ. Pierre et Marie CurieParis, France??--??1990Mon Aug 15 15:02:04 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.15 15:02:04 ???https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdfThe 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?ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)J. M. BorweinS{\'e}minaire d'initiation {\`a} l'analyzeGustave Choquet and othersA survey of differentiability properties of convex, {Lipschitz} and lsc functionsBorwein, Jonathan/0000-0002-1263-0646
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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,
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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
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keywords = "approximation; continued fractions; digit series;
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™\_!9-K[1/C_=;„‚{w„K[Wš9techreportborwein-jonathan-m.bibBorwein:1990:SSHJ. M. Borwein and P. B. BorweinStrange Series and High Precision FraudPreliminary ReportDepartment of Mathematics, Statistics and Computing Science, Dalhousie UniversityHalifax, NS B3H 3J5, Canada284sep9199011A99, 11A55 (primary), 65B10 (secondary)Fri Nov 11 07:05:53 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.11.11 07:05:53 ???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.approximation; continued fractions; digit series; generating functions; high precision estimates; integer parts; irrationality; Mahler's series; modular transformations; transcendenceDate recorded in ambiguous form 4/9/90; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.ack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)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.J. M. Borwein and P. B. BorweinStrange Series and High Precision FraudBorwein, Jonathan/0000-0002-1263-0646
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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
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acknowledgement = ack-nhfb,
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@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 = %‡{w
@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:)‰7’o
@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 =:‰c“G
@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+ŽF
@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.ed?’0¤a
@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 (pr=ˆ#
@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 (46A-‰7’o
@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)",8
Î9Ûèõjˆ!
@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",
bibdatpïˆp‘a
@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 = "1077-8-½’R¥%
@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‚‰<’y
@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), 1088-685ùTˆf‘M
@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",
Ôœ†9Œs
@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",
bibsourcú‡Ž!
@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)",
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journal-URL = "http://link.springer.com/journal/283",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}J
r`9++357=;5Owe+W‘articleborwein-jonathan-m.bibKnuth:1990:PSSbD. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. BorweinProblems and Solutions: Solutions of Elementary Problems: E3335j-AMER-MATH-MONTHLY97109271990AMMYAE0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 000298901541809Wed Aug 10 11:09:47 2016https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib2016.08.10 11:09:47 ???2-8&origin=MSN; http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.COThe American Mathematical Monthlyack-nhfbJonathan Michael Borwein (20 May 1951--2 August 2016)https://www.jstor.org/journals/00029890.htmlD. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. BorweinProblems and Solutions: Solutions of Elementary Problems: {E3335}Borwein, Jonathan/0000-0002-1263-0646
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