Edit Profile (opens in new tab) Borwein, Jonathan Michael (b. 1951 d. 2016) Co-Author Distance Author ID: borwein.jonathan-michael Published as: Borwein, Jonathan M.; Borwein, J. M.; Borwein, Jonathan; Borwein, J.; Borwein, Jon; Borwein, Jonathan Michael; Borwein, Jon M.; Borwein, Jon. M. more...less Homepage: https://www.carma.newcastle.edu.au/jon/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Member of Collective: Honor, R. B. Documents Indexed: 463 Publications since 1976, including 22 Books 11 Contributions as Editor · 2 Further Contributions Biographic References: 15 Publications Co-Authors: 177 Co-Authors with 396 Joint Publications 4,681 Co-Co-Authors all top 5 Co-Authors 69 single-authored 52 Bailey, David Harold 39 Borwein, Peter Benjamin 33 Borwein, David 21 Lewis, Adrian S. 20 Vanderwerff, Jon D. 20 Wang, Shawn Xianfu 18 Bauschke, Heinz H. 17 Crandall, Richard E. 16 Girgensohn, Roland 15 Zhu, Qiji Jim 14 Yao, Liangjin 13 Straub, Armin 11 Moors, Warren B. 9 Aragón Artacho, Francisco Javier 9 Bradley, David M. 9 Fitzpatrick, Simon 9 Tam, Matthew K. 8 Sims, Brailey 7 Wan, James Gu Feng 6 Broadhurst, David John 6 Luke, David Russell 6 Wolkowicz, Henry 5 Fabian, Martin 5 Stròjwas, H. M. 5 Zucker, I. John 4 Bugeaud, Yann 4 Chan, O-Yeat 4 Choi, Kwok-Kwong Stephen 4 Coons, Michael 4 Corless, Robert Malcolm 4 Garvan, Frank G. 4 Giladi, Ohad 4 Kortezov, Ivaylo S. 4 Noll, Dominikus 4 O’Brien, Richard C. 4 Skerritt, Matthew P. 4 Zudilin, Wadim 3 Berggren, John Lennart 3 Calkin, Neil J. 3 Giles, John R. 3 Glasser, M. Lawrence 3 Howlett, Phil G. 3 Lindstrom, Scott B. 3 Lisoněk, Petr 3 Maréchal, Pierre 3 Mordukhovich, Boris S. 3 Reich, Simeon 2 Bačák, Miroslav 2 Beer, Gerald Alan 2 Borowski, Ephraim 2 Burachik, Regina Sandra 2 Chapman, Scott Thomas 2 Combettes, Patrick L. 2 Dempster, Michael A. H. 2 Devlin, Keith J. 2 Dilcher, Karl 2 Eberhard, Andrew C. 2 Edelstein, Michael 2 Fabian, Marián J. 2 Fee, Greg J. 2 Fitzpatrick, S. P. 2 Goebel, Rafal 2 Hamilton, Chris H. 2 Henrion, René 2 Huang, Wanzhen 2 Jörgenson, Loki 2 Li, Guoyin 2 Limber, Martha N. 2 Loewen, Philip D. 2 López-Cerdá, Marco Antonio 2 López de Prado, Marcos 2 Mattingly, Andrew 2 Nuyens, Dirk 2 Parnes, Sheldon 2 Piantadosi, Julia 2 Rodrigues, José Francisco 2 Shail, Ron 2 Shao, Yongheng 2 Stanway, Terry 2 Théra, Michel A. 2 Treiman, Jay S. 2 Watters, Carolyn 2 Wiersma, Herre 1 Alladi, Krishnaswami 1 Amdeberhan, Tewodros 1 Andrews, George Eyre 1 Arzarello, Ferdinando 1 Baake, Michael 1 Baillie, Robert 1 Bartolini Bussi, Maria Giuseppina 1 Bartz, Sedi 1 Barzilai, Jonathan 1 Ben-Tal, Aharon 1 Benoist, Joël 1 Berndt, Bruce Carl 1 Boersma, Johannes 1 Brent, Richard Peirce 1 Burke, James V. 1 Calude, Cristian S. 1 Chamberland, Marc ...and 88 more Co-Authors all top 5 Serials 26 American Mathematical Monthly 20 Proceedings of the American Mathematical Society 17 Journal of Mathematical Analysis and Applications 17 Experimental Mathematics 17 Journal of Convex Analysis 13 Canadian Journal of Mathematics 12 Canadian Mathematical Bulletin 12 Transactions of the American Mathematical Society 11 SIAM Journal on Optimization 10 Journal of Optimization Theory and Applications 10 Notices of the American Mathematical Society 10 Set-Valued Analysis 10 The Ramanujan Journal 8 Mathematical Programming 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Approximation Theory 7 SIAM Journal on Control and Optimization 7 Mathematical Programming. Series A. Series B 7 Journal of Nonlinear and Convex Analysis 6 Bulletin of the Australian Mathematical Society 6 Mathematics of Computation 6 Set-Valued and Variational Analysis 5 The Mathematical Intelligencer 5 Mathematics of Operations Research 5 Optimization Letters 4 The Australian Mathematical Society Gazette 4 Journal of Functional Analysis 4 Mathematical Inequalities & Applications 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Mathematische Operationsforschung und Statistik. Series Optimization 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Pacific Journal of Mathematics 3 Optimization 3 Journal of Global Optimization 3 SIAM Review 3 The Electronic Journal of Combinatorics 3 Journal of the Australian Mathematical Society 3 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 2 IMA Journal of Numerical Analysis 2 Israel Journal of Mathematics 2 Journal of the Australian Mathematical Society, Series B 2 Journal of Mathematical Physics 2 BIT 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the London Mathematical Society. Second Series 2 Mathematical Programming Study 2 Numerische Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Journal of Symbolic Computation 2 Journal of the Australian Mathematical Society. Series A 2 Journal of Physics A: Mathematical and General 2 ZOR. Zeitschrift für Operations Research 2 Mathematical Methods of Operations Research 2 Integers 2 International Journal of Number Theory 2 Encyclopedia of Mathematics and Its Applications 2 Canadian Mathematical Society Series of Monographs and Advanced Texts 2 Journal of Physics A: Mathematical and Theoretical 2 Springer Undergraduate Texts in Mathematics and Technology 1 Applicable Analysis 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Acta Mathematica Vietnamica 1 Bulletin of the Calcutta Mathematical Society 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Nanta Mathematica 1 Numerical Functional Analysis and Optimization 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 SIGSAM Bulletin 1 Theoretical Computer Science 1 Utilitas Mathematica 1 Constructive Approximation 1 Aequationes Mathematicae 1 Doklady Bolgarskoĭ Akademii Nauk 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Topological Methods in Nonlinear Analysis 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Serdica Mathematical Journal 1 Documenta Mathematica 1 European Mathematical Society Newsletter 1 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Journal of Integer Sequences 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis Forum 1 The ANZIAM Journal 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Boundary Value Problems ...and 13 more Serials all top 5 Fields 127 Calculus of variations and optimal control; optimization (49-XX) 127 Operations research, mathematical programming (90-XX) 121 Number theory (11-XX) 110 Functional analysis (46-XX) 70 Special functions (33-XX) 62 Operator theory (47-XX) 58 Numerical analysis (65-XX) 47 Convex and discrete geometry (52-XX) 42 Real functions (26-XX) 37 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 31 Computer science (68-XX) 22 Approximations and expansions (41-XX) 19 Sequences, series, summability (40-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 General topology (54-XX) 15 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 8 Functions of a complex variable (30-XX) 8 Mathematics education (97-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 421 Publications have been cited 9,458 times in 6,134 Documents Cited by ▼ Year ▼ On projection algorithms for solving convex feasibility problems. Zbl 0865.47039Bauschke, Heinz H.; Borwein, Jonathan M. 721 1996 Two-point step size gradient methods. Zbl 0638.65055Barzilai, Jonathan; Borwein, Jonathan M. 707 1988 Techniques of variational analysis. Zbl 1076.49001Borwein, Jonathan M.; Zhu, Qiji J. 257 2005 Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001Borwein, Jonathan M.; Borwein, Peter B. 245 1987 Proper efficient points for maximizations with respect to cones. Zbl 0369.90096Borwein, J. 193 1977 Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L. 162 2001 Convex analysis and nonlinear optimization. Theory and examples. 2nd ed. Zbl 1116.90001Borwein, Jonathan M.; Lewis, Adrian S. 160 2006 Partially finite convex programming. I: Quasi relative interiors and duality theory. Zbl 0778.90049Borwein, J. M.; Lewis, A. S. 146 1992 Special values of multiple polylogarithms. Zbl 1002.11093Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr 142 2001 Convex analysis and nonlinear optimization. Theory and examples. Zbl 0953.90001Borwein, Jonathan M.; Lewis, Adrian S. 135 2000 Convex functions. Constructions, characterizations and counterexamples. Zbl 1191.26001Borwein, Jonathan M.; Vanderwerff, Jon D. 126 2010 Legendre functions and the method of random Bregman projections. Zbl 0894.49019Bauschke, Heinz G.; Borwein, Jonathan M. 126 1997 Super efficiency in vector optimization. Zbl 0796.90045Borwein, J. M.; Zhuang, D. 125 1993 Bregman monotone optimization algorithms. Zbl 1049.90053Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L. 124 2003 On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042Bauschke, H. H.; Borwein, J. M. 110 1993 Explicit evaluation of Euler sums. Zbl 0819.40003Borwein, David; Borwein, Jonathan M.; Girgensohn, Roland 109 1995 A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Zbl 0632.49008Borwein, J. M.; Preiss, D. 109 1987 A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014Borwein, J. M.; Borwein, P. B. 103 1991 Strong conical hull intersection property, bounded linear regularity, Jameson’s property \((G)\), and error bounds in convex optimization. Zbl 0998.90088Bauschke, Heinz H.; Borwein, Jonathan M.; Li, Wu 99 1999 Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044Borwein, J. M.; Borwein, P. B. 88 1987 Stability and regular points of inequality systems. Zbl 0557.49020Borwein, J. M. 84 1986 Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\). Zbl 0884.40004Borwein, J. M.; Bradley, D. M.; Broadhurst, D. J. 80 1997 Cubic analogues of the Jacobian theta function \(\theta(z,q)\). Zbl 0797.33012Hirschhorn, Michael; Garvan, Frank; Borwein, Jon 76 1993 Experimental evaluation of Euler sums. Zbl 0810.11076Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland 74 1994 On the existence of Pareto efficient points. Zbl 0508.90080Borwein, Jonathan M. 69 1983 Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps. Zbl 0654.49004Borwein, J. M.; Zhuang, D. M. 67 1988 Multivalued convexity and optimization: A unified approach to inequality and equality constraints. Zbl 0375.90062Borwein, J. 65 1977 Some cubic modular identities of Ramanujan. Zbl 0799.33012Borwein, J. M.; Borwein, P. B.; Garvan, F. G. 63 1994 Convergence of best entropy estimates. Zbl 0756.41037Borwein, J. M.; Lewis, A. S. 63 1991 The method of cyclic projections for closed convex sets in Hilbert space. Zbl 0874.47029Bauschke, Heinz H.; Borwein, Jonathan M.; Lewis, Adrian S. 63 1997 Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011Bauschke, H. H.; Borwein, J. M. 61 1994 Regularizing the abstract convex program. Zbl 0467.90076Borwein, Jon; Wolkowicz, Henry 59 1981 The geometry of Pareto efficiency over cones. Zbl 0447.90077Borwein, J. M. 58 1980 Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L. 55 2008 Duality relationships for entropy-like minimization problems. Zbl 0797.49030Borwein, J. M.; Lewis, A. S. 55 1991 Computational strategies for the Riemann zeta function. Zbl 0972.11077Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E. 54 2000 Continuity and differentiability properties of convex operators. Zbl 0487.46026Borwein, J. M. 53 1982 Tangential approximations. Zbl 0613.49016Borwein, J. M.; Strojwas, H. M. 53 1985 Notions of relative interior in Banach spaces. Zbl 1136.49307Borwein, J.; Goebel, R. 52 2003 Existence of nearest points in Banach spaces. Zbl 0668.46006Borwein, Jonathan M.; Fitzpatrick, Simon 51 1989 Krasnoselski-Mann iterations in normed spaces. Zbl 0712.47050Borwein, Jonathan; Reich, Simeon; Shafrir, Itai 50 1992 Maximal monotonicity via convex analysis. Zbl 1111.47042Borwein, Jonathan M. 49 2006 Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002Borwein, Jonathan; Bailey, David; Girgensohn, Roland 49 2004 Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002Borwein, Jonathan; Bailey, David 48 2008 Facial reduction for a cone-convex programming problem. Zbl 0464.90086Borwein, Jon M.; Wolkowicz, Henry 45 1981 Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001Borwein, Jonathan M.; Borwein, Peter B. 45 1998 A survey of subdifferential calculus with applications. Zbl 0933.49006Borwein, Jonathan M.; Zhu, Qiji J. 45 1999 On an intriguing integral and some series related to \(\zeta (4)\). Zbl 0840.11036Borwein, David; Borwein, Jonathan M. 44 1995 Proximal analysis and boundaries of closed sets in Banach space. I: Theory. Zbl 0577.46011Borwein, J. M.; Strojwas, H. M. 43 1986 Fifty years of maximal monotonicity. Zbl 1214.47043Borwein, Jonathan M. 43 2010 The evaluation of character Euler double sums. Zbl 1241.11108Borwein, J. M.; Zucker, I. J.; Boersma, J. 42 2008 Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K. 39 2014 A note on epsilon-subgradients and maximal monotonicity. Zbl 0525.49010Borwein, J. M. 39 1982 A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407Borwein, Jonathan M.; Tam, Matthew K. 38 2014 Evaluation of triple Euler sums. Zbl 0884.40005Borwein, Jonathan M.; Girgensohn, Roland 38 1996 The proximal normal formula in Banach space. Zbl 0632.49007Borwein, J. M.; Giles, J. R. 38 1987 Combinatorial aspects of multiple zeta values. Zbl 0904.05012Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr 37 1998 A Lagrange multiplier theorem and a sandwich theorem for convex relations. Zbl 0468.49007Borwein, J. M. 36 1981 Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J. 35 2013 Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin 35 2014 The differentiability of real functions on normed linear space using generalized subgradients. Zbl 0644.46032Borwein, J. M.; Fitzpatrick, S. P.; Giles, J. R. 35 1987 Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu 34 2007 Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K. 34 2014 Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114Aragón Artacho, Francisco J.; Borwein, Jonathan M. 34 2013 Essentially smooth Lipschitz functions. Zbl 0896.49007Borwein, Jonathan M.; Moors, Warren B. 34 1997 Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017Borwein, J. M.; Borwein, P. B.; Bailey, D. H. 34 1989 Nonsmooth calculus in finite dimensions. Zbl 0633.46043Ward, D. E.; Borwein, J. M. 34 1987 Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. Zbl 0882.49020Borwein, Jonathan M.; Zhu, Qiji J. 33 1996 Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K. 33 2017 A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham 31 2011 Entropy minimization, \(DAD\) problems, and doubly stochastic kernels. Zbl 0815.15021Borwein, J. M.; Lewis, A. S.; Nussbaum, R. D. 31 1994 The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098Borwein, Jonathan M.; Sims, Brailey 31 2011 The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009Borwein, J. M.; Borwein, P. B. 31 1984 Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel 31 2001 Densities of short uniform random walks. Zbl 1296.33011Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 30 2012 Minimal cuscos and subgradients of Lipschitz functions. Zbl 0743.49006Borwein, J. M. 30 1991 Adjoint process duality. Zbl 0534.49015Borwein, J. M. 29 1983 Thirty-two Goldbach variations. Zbl 1094.11031Borwein, Jonathan M.; Bradley, David M. 28 2006 A characterization of quasiconvex vector-valued functions. Zbl 1024.26020Benoist, Joël; Borwein, Jonathan M.; Popovici, Nicolae 28 2003 On difference convexity of locally Lipschitz functions. Zbl 1237.46007Bačák, Miroslav; Borwein, Jonathan M. 28 2011 Experimental mathematics in action. Zbl 1127.00002Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H. 27 2007 Maximality of sums of two maximal monotone operators in general Banach space. Zbl 1130.47031Borwein, Jonathan M. 27 2007 Mosco convergence and the Kadec property. Zbl 0672.46007Borwein, Jonathan M.; Fitzpatrick, Simon 27 1989 Fixed point iterations for real functions. Zbl 0742.26006Borwein, David; Borwein, Jonathan 26 1991 Partially finite convex programming. II: Explicit lattice models. Zbl 0778.90050Borwein, J. M.; Lewis, A. S. 26 1992 Parametric Euler sum identities. Zbl 1102.11049Borwein, David; Borwein, Jonathan M.; Bradley, David M. 26 2006 Characterizations of optimality without constraint qualification for the abstract convex program. Zbl 0495.90085Borwein, J. M.; Wolkowicz, H. 26 1982 Second order differentiability of convex functions in Banach spaces. Zbl 0802.46027Borwein, Jonathan M.; Noll, Dominikus 25 1994 Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu 25 2007 Epi-Lipschitz-like sets in Banach space: Theorems and examples. Zbl 0639.49014Borwein, Jonathan Michael 25 1987 Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001Borwein, Jonathan M.; Borwein, Peter B. 24 1993 High-precision computation: mathematical physics and dynamics. Zbl 1248.65147Bailey, D. H.; Barrio, R.; Borwein, J. M. 24 2012 Conjugate convex operators. Zbl 0588.46027Borwein, J. M.; Penot, J. P.; Thera, M. 24 1984 Proximal analysis and boundaries of closed sets in Banach space. II: applications. Zbl 0621.46019Borwein, J. M.; Strojwas, H. M. 24 1987 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 24 2014 Mosco convergence and reflexivity. Zbl 0763.46006Beer, Gerald; Borwein, Jonathan M. 24 1990 Some arithmetic properties of short random walk integrals. Zbl 1233.60024Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James 24 2011 Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul 24 2000 Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. Zbl 1338.90310Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K. 23 2016 Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001Borwein, Jonathan; Bailey, David 22 2004 Symmetry and the monotonicity of certain Riemann sums. Zbl 1446.26008Borwein, David; Borwein, Jonathan M.; Sims, Brailey 1 2020 Checkerboard copulas of maximum entropy with prescribed mixed moments. Zbl 1437.60010Borwein, Jonathan; Howlett, Phil 1 2019 Dynamics of the Douglas-Rachford method for ellipses and \(p\)-spheres. Zbl 06913665Borwein, Jonathan M.; Lindstrom, Scott B.; Sims, Brailey; Schneider, Anna; Skerritt, Matthew P. 11 2018 Derivatives and fast evaluation of the Tornheim zeta function. Zbl 1433.11106Borwein, Jonathan M.; Dilcher, Karl 9 2018 Gamma and factorial in the Monthly. Zbl 1392.33001Borwein, Jonathan M.; Corless, Robert M. 8 2018 Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124Bailey, David H.; Borwein, J. M. 5 2018 Convex analysis in groups and semigroups: a sampler. Zbl 1392.49007Borwein, Jonathan M.; Giladi, Ohad 2 2018 Ergodic behaviour of a Douglas-Rachford operator away from the origin. Zbl 1503.47082Borwein, Jonathan M.; Giladi, Ohad 1 2018 Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K. 33 2017 Reflection methods for inverse problems with applications to protein conformation determination. Zbl 1403.49012Borwein, Jonathan M.; Tam, Matthew K. 5 2017 Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson 5 2017 Generalisations, examples, and counter-examples in analysis and optimisation. In honour of Michel Théra at 70. Zbl 06804489Borwein, Jonathan M. 3 2017 Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen 3 2017 Generalized continued logarithms and related continued fractions. Zbl 1422.11153Borwein, Jonathan M.; Hare, Kevin G.; Lynch, Jason G. 2 2017 Adventures with the OEIS. Zbl 1390.11055Borwein, Jonathan M. 1 2017 Continued logarithms and associated continued fractions. Zbl 1422.11152Borwein, Jonathan M.; Calkin, Neil J.; Lindstrom, Scott B.; Mattingly, Andrew 1 2017 Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. Zbl 1338.90310Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K. 23 2016 Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065Bailey, D. H.; Borwein, J. M. 11 2016 Meetings with Lambert \(\mathcal W\) and other special functions in optimization and analysis. Zbl 1349.90674Borwein, Jonathan M.; Lindstrom, Scott B. 8 2016 Densities of short uniform random walks in higher dimensions. Zbl 1333.60086Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe 7 2016 Maximal monotone inclusions and Fitzpatrick functions. Zbl 1354.90135Borwein, J. M.; Dutta, J. 6 2016 A very complicated proof of the minimax theorem. Zbl 1337.46049Borwein, Jonathan 5 2016 A closed form for the density functions of random walks in odd dimensions. Zbl 1347.60049Borwein, Jonathan M.; Sinnamon, Corwin W. 5 2016 Some remarks on convex analysis in topological groups. Zbl 1358.46006Borwein, Jonathan M.; Giladi, Ohad 3 2016 Pi: the next generation. A sourcebook on the recent history of pi and its computation. Zbl 1342.01042Bailey, David H.; Borwein, Jonathan M. 3 2016 A variational approach to Lagrange multipliers. Zbl 1354.90091Borwein, Jonathan M.; Zhu, Qiji J. 2 2016 Experimental mathematics in the society of the future. Zbl 1353.01023Bailey, David H.; Borwein, Jonathan M. 1 2016 Nearest points and delta convex functions in Banach spaces. Zbl 1388.46017Borwein, Jonathan M.; Giladi, Ohad 1 2016 The cyclic Douglas-Rachford method for inconsistent feasibility problems. Zbl 1315.47061Borwein, Jonathan M.; Tam, Matthew K. 20 2015 On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068Bailey, David H.; Borwein, David; Borwein, Jonathan M. 9 2015 Norm convergence of realistic projection and reflection methods. Zbl 1440.47050Borwein, Jonathan M.; Sims, Brailey; Tam, Matthew K. 9 2015 High-precision arithmetic in mathematical physics. Zbl 1318.65025Bailey, David H.; Borwein, Jonathan M. 7 2015 Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050Bailey, D. H.; Borwein, J. M. 6 2015 Recent progress on monotone operator theory. Zbl 1328.47054Borwein, Jonathan M.; Yao, Liangjin 5 2015 I prefer Pi: a brief history and anthology of articles in The American Mathematical Monthly. Zbl 1328.01076Borwein, Jonathan M.; Chapman, Scott T. 4 2015 Crandall’s computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series. Zbl 1410.33013Bailey, D. H.; Borwein, J. M. 3 2015 Duality and convex programming. 2nd edition. Zbl 1331.49041Borwein, Jonathan M.; Luke, D. Russell 2 2015 Relations for Nielsen polylogarithms. Zbl 1315.33006Borwein, Jonathan M.; Straub, Armin 1 2015 Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K. 39 2014 A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407Borwein, Jonathan M.; Tam, Matthew K. 38 2014 Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin 35 2014 Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K. 34 2014 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 24 2014 Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E. 17 2014 Conditions for zero duality gap in convex programming. Zbl 1301.49035Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin 11 2014 On lattice sums and Wigner limits. Zbl 1369.11046Borwein, David; Borwein, Jonathan M.; Straub, Armin 8 2014 Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance. Zbl 1338.91157Bailey, David H.; Borwein, Jonathan M.; López de Prado, Marcos; Zhu, Qiji Jim 7 2014 Some results on the convexity of the closure of the domain of a maximally monotone operator. Zbl 1298.47061Borwein, Jonathan M.; Yao, Liangjin 5 2014 Applications of convex analysis within mathematics. Zbl 1306.47058Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Martín-Márquez, Victoria; Yao, Liangjin 3 2014 Legendre-type integrands and convex integral functions. Zbl 1301.46042Borwein, Jonathan M.; Yao, Liangjin 3 2014 Sum theorems for maximally monotone operators of type (FPV). Zbl 1303.47071Borwein, Jonathan M.; Yao, Liangjin 3 2014 Pi day is upon us again and we still do not know if pi is normal. Zbl 1300.00005Bailey, David H.; Borwein, Jonathan 2 2014 On the solution of linear mean recurrences. Zbl 1303.39002Borwein, David; Borwein, Jonathan M.; Sims, Brailey 2 2014 The life of \(\pi\): from Archimedes to ENIAC and beyond. Zbl 1284.01010Borwein, Jonathan M. 2 2014 Automated simplification of large symbolic expressions. Zbl 1310.68259Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D. 1 2014 Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J. 35 2013 Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114Aragón Artacho, Francisco J.; Borwein, Jonathan M. 34 2013 Closed forms: what they are and why we care. Zbl 1334.33042Borwein, Jonathan M.; Crandall, Richard E. 21 2013 Three-step and four-step random walk integrals. Zbl 1268.33005Borwein, Jonathan M.; Straub, Armin; Wan, James 18 2013 Walking on real numbers. Zbl 1282.11088Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B. 7 2013 Lattice sums arising from the Poisson equation. Zbl 1263.11074Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J. 7 2013 Structure theory for maximally monotone operators with points of continuity. Zbl 1282.47067Borwein, Jonathan M.; Yao, Liangjin 7 2013 Mahler measures, short walks and log-sine integrals. Zbl 1297.11136Borwein, Jonathan M.; Straub, Armin 6 2013 Recent results on Douglas-Rachford methods. Zbl 1324.90130Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K. 5 2013 Expectations on fractal sets. Zbl 1329.28015Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G. 5 2013 Normal numbers and pseudorandom generators. Zbl 1310.11078Bailey, David H.; Borwein, Jonathan M. 4 2013 Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137Bailey, David H.; Borwein, Jonathan M. 4 2013 Variational methods in the presence of symmetry. Zbl 1277.49018Borwein, Jonathan M.; Zhu, Qiji J. 4 2013 The computation of previously inaccessible digits of \(\pi^2\) and Catalan’s constant. Zbl 1382.11097Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn 4 2013 Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator. Zbl 1297.47006Borwein, Jonathan M.; Yao, Liangjin 2 2013 Computation of an improved lower bound to Giuga’s primality conjecture. Zbl 1284.11002Borwein, Jonathan; Maitland, Christopher; Skerritt, Matthew 1 2013 Monotone operators without enlargements. Zbl 1305.47034Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin 1 2013 Densities of short uniform random walks. Zbl 1296.33011Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 30 2012 High-precision computation: mathematical physics and dynamics. Zbl 1248.65147Bailey, D. H.; Barrio, R.; Borwein, J. M. 24 2012 Copulas with maximum entropy. Zbl 1280.90093Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan 12 2012 An empirical approach to the normality of \(\pi\). Zbl 1281.11077Bailey, David H.; Borwein, Jonathan M.; Calude, Cristian S.; Dinneen, Michael J.; Dumitrescu, Monica; Yee, Alex 10 2012 Maximum entropy and feasibility methods for convex and nonconvex inverse problems. Zbl 1241.45009Borwein, Jonathan M. 9 2012 The Brezis-Browder theorem in a general Banach space. Zbl 1259.47065Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin 8 2012 Log-sine evaluations of Mahler measures. II. Zbl 1266.33022Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James 8 2012 Log-sine evaluations of Mahler measures. Zbl 1277.33019Borwein, Jonathan M.; Straub, Armin 6 2012 Constructions of uniformly convex functions. Zbl 1260.46009Borwein, Jonathan M.; Vanderwerff, Jon 5 2012 Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Zbl 1319.90077Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin 5 2012 Nonnormality of Stoneham constants. Zbl 1336.11055Bailey, David H.; Borwein, Jonathan M. 5 2012 An introduction to modern mathematical computing. With Mathematica. Zbl 1252.65001Borwein, Jonathan M.; Skerritt, Matthew P. 4 2012 Organic mathematics: Then and now. Zbl 1273.01065Borwein, Jonathan M.; Jungić, Veselin 3 2012 Maximum entropy methods for generating simulated rainfall. Zbl 1247.86005Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan; Henstridge, John 3 2012 Construction of pathological maximally monotone operators on non-reflexive Banach spaces. Zbl 1267.47003Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin 3 2012 Exploratory experimentation: digitally-assisted discovery and proof. Zbl 1259.97011Borwein, Jonathan Michael 2 2012 Experimental approaches to theoretical thinking: artefacts and proofs. With a response by Jonathan M. Borwein and Judy-anne Osborn. Zbl 1247.97006Arzarello, Ferdinando; Bartolini Bussi, Maria Giuseppina; Leung, Allen Yuk Lun; Mariotti, Maria Alessandra; Stevenson, Ian 1 2012 A sinc that sank. Zbl 1270.33001Borwein, David; Borwein, Jonathan M.; Straub, Armin 1 2012 Ancient Indian square roots: an exercise in forensic paleo-mathematics. Zbl 1264.01007Bailey, David H.; Borwein, Jonathan M. 1 2012 A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham 31 2011 The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098Borwein, Jonathan M.; Sims, Brailey 31 2011 On difference convexity of locally Lipschitz functions. Zbl 1237.46007Bačák, Miroslav; Borwein, Jonathan M. 28 2011 Some arithmetic properties of short random walk integrals. Zbl 1233.60024Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James 24 2011 Special values of generalized log-sine integrals. Zbl 1323.68584Borwein, Jonathan M.; Straub, Armin 17 2011 High-precision numerical integration: progress and challenges. Zbl 1291.65070Bailey, D. H.; Borwein, J. M. 12 2011 Moments of Ramanujan’s generalized elliptic integrals and extensions of Catalan’s constant. Zbl 1228.11183Borwein, D.; Borwein, J. M.; Glasser, M. L.; Wan, J. G. 10 2011 Entropic regularization of the \(\ell _{0}\) function. Zbl 1357.49115Borwein, Jonathan M.; Luke, D. Russell 6 2011 Exploratory experimentation and computation. Zbl 1247.00010Bailey, David H.; Borwein, Jonathan M. 4 2011 ...and 321 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,155 Authors 157 Borwein, Jonathan Michael 80 Bauschke, Heinz H. 70 Mordukhovich, Boris S. 65 Wang, Shawn Xianfu 54 Reich, Simeon 51 Chu, Yuming 45 Yao, Jen-Chih 43 Thibault, Lionel 39 Censor, Yair 35 Xu, Ce 34 Dai, Yu-Hong 34 Penot, Jean-Paul 33 Jourani, Abderrahim 32 Bailey, David Harold 32 Combettes, Patrick L. 31 Boţ, Radu Ioan 30 Théra, Michel A. 29 Sofo, Anthony 28 Beer, Gerald Alan 28 Kruger, Alexander Y. 27 Jeyakumar, Vaithilingam 26 Cho, Yeol Je 26 Ioffe, Alexander Davidovich 26 Kumam, Poom 25 Yao, Yonghong 25 Zaslavski, Alexander Yakovlevich 24 Nam, Nguyen Mau 23 Csetnek, Ernö Robert 23 Eie, Minking 23 Yang, Xinmin 22 Iiduka, Hideaki 22 Yang, Xiaoqi 21 Gibali, Aviv 21 Lewis, Adrian S. 21 Wolkowicz, Henry 20 Li, Chong 20 Li, Shengjie 20 Liou, Yeongcheng 20 Tam, Matthew K. 19 Cegielski, Andrzej 19 Raydan, Marcos 18 Correa, Rafael Augusto Couceiro 18 Dong, Qiaoli 18 Drusvyatskiy, Dmitriy 18 Kang, Shin Min 18 Luke, David Russell 18 Phan, Hung M. 18 Wang, Miaokun 18 Zălinescu, Constantin 18 Zegeye, Habtu 17 Aragón Artacho, Francisco Javier 17 Babaie-Kafaki, Saman 17 Borwein, Peter Benjamin 17 Chan, Heng Huat 17 Chu, Wenchang 17 Hantoute, Abderrahim 17 He, Songnian 17 Qiu, Songliang 17 Sama, Miguel 17 Yao, Liangjin 16 Crandall, Richard E. 16 Deutsch, Frank 16 Jolaoso, Lateef Olakunle 16 Kohlenbach, Ulrich Wilhelm 16 Liu, Zexian 16 López-Cerdá, Marco Antonio 16 Moursi, Walaa M. 16 Qin, Xiaolong 16 Tammer, Christiane 16 Yang, Zhenhang 16 Nguyen Dong Yen 16 Zalas, Rafał 16 Zudilin, Wadim 15 Cholamjiak, Prasit 15 Dinh The Luc 15 Flåm, Sjur Didrik 15 Moll, Victor Hugo 15 Pérez-Aros, Pedro 15 Shehu, Yekini 15 Straub, Armin 15 Weinzierl, Stefan 15 Xiao, Yunhai 15 Yamada, Isao 15 Zanni, Luca 15 Zhang, Hongchao 14 Dao, Minh Ngoc 14 Fabian, Marián J. 14 Huang, Yakui 14 Huynh Van Ngai 14 Noll, Dominikus 14 Qi, Liqun 14 Soleimani-damaneh, Majid 14 Zhao, Tiehong 13 Cooper, Shaun 13 Daniilidis, Aris 13 Flores-Bazán, Fabián 13 Guillera, Jesús 13 la Cruz, William 13 Li, Guoyin 13 Liu, Hongwei ...and 6,055 more Authors all top 5 Cited in 663 Serials 358 Journal of Optimization Theory and Applications 328 Journal of Mathematical Analysis and Applications 224 Optimization 180 Mathematical Programming. 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RACSAM 23 Israel Journal of Mathematics 23 Journal of the Australian Mathematical Society 22 Advances in Mathematics 22 Mathematics of Operations Research 22 Vietnam Journal of Mathematics 21 Aequationes Mathematicae 21 Integral Transforms and Special Functions 19 American Mathematical Monthly 19 Journal of Computational Physics 18 Applicable Analysis 18 Rocky Mountain Journal of Mathematics 18 Applied Mathematics Letters 17 Applied Numerical Mathematics 17 SIAM Journal on Scientific Computing 17 Journal of Mathematical Sciences (New York) 17 Filomat 17 Acta Mathematica Sinica. 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Second Series 13 Inverse Problems in Science and Engineering 12 Archiv der Mathematik 12 Journal of Mathematical Imaging and Vision 12 Mediterranean Journal of Mathematics 11 Mathematische Zeitschrift 11 Integers 11 Central European Journal of Mathematics 11 Journal of Nonlinear Science and Applications 11 Numerical Algebra, Control and Optimization 10 Functiones et Approximatio. Commentarii Mathematici 10 SIAM Journal on Control and Optimization 10 Systems & Control Letters 10 Bulletin of the Iranian Mathematical Society 10 Expositiones Mathematicae ...and 563 more Serials all top 5 Cited in 62 Fields 2,417 Operations research, mathematical programming (90-XX) 1,433 Calculus of variations and optimal control; optimization (49-XX) 1,269 Numerical analysis (65-XX) 1,007 Operator theory (47-XX) 904 Number theory (11-XX) 544 Functional analysis (46-XX) 542 Special functions (33-XX) 441 Real functions (26-XX) 240 Convex and discrete geometry (52-XX) 239 Combinatorics (05-XX) 238 Computer science (68-XX) 227 General topology (54-XX) 209 Approximations and expansions (41-XX) 191 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 183 Statistics (62-XX) 158 Global analysis, analysis on manifolds (58-XX) 152 Information and communication theory, circuits (94-XX) 148 Probability theory and stochastic processes (60-XX) 143 Partial differential equations (35-XX) 126 Linear and multilinear algebra; matrix theory (15-XX) 119 Quantum theory (81-XX) 118 Sequences, series, summability (40-XX) 94 Systems theory; control (93-XX) 80 Ordinary differential equations (34-XX) 77 Dynamical systems and ergodic theory (37-XX) 69 Functions of a complex variable (30-XX) 67 Statistical mechanics, structure of matter (82-XX) 61 Difference and functional equations (39-XX) 60 Measure and integration (28-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 57 Algebraic geometry (14-XX) 55 Biology and other natural sciences (92-XX) 46 Mathematical logic and foundations (03-XX) 44 Mechanics of deformable solids (74-XX) 39 Differential geometry (53-XX) 37 Integral transforms, operational calculus (44-XX) 31 General and overarching topics; collections (00-XX) 29 Fluid mechanics (76-XX) 26 History and biography (01-XX) 23 Optics, electromagnetic theory (78-XX) 20 Integral equations (45-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 17 Associative rings and algebras (16-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Geometry (51-XX) 14 Nonassociative rings and algebras (17-XX) 12 Mathematics education (97-XX) 11 Potential theory (31-XX) 11 Relativity and gravitational theory (83-XX) 11 Geophysics (86-XX) 10 Mechanics of particles and systems (70-XX) 9 Group theory and generalizations (20-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Field theory and polynomials (12-XX) 7 Manifolds and cell complexes (57-XX) 5 Topological groups, Lie groups (22-XX) 5 Abstract harmonic analysis (43-XX) 4 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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