Jonathan Borwein

Q: What Schools Are Affiliated With Jonathan Borwein

Jonathan Borwein is affiliated with the following schools: Simon Fraser University, University of Waterloo, University of Oxford, University of Newcastle , Dalhousie University, Carnegie Mellon University, King Abdulaziz University

Jonathan Borwein's AcademicInfluence.com Rankings

Jonathan Borwein

Mathematics

#297

World Rank

#644

Historical Rank

Applied Mathematics

#32

World Rank

#36

Historical Rank

Measure Theory

#166

World Rank

#252

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Jonathan Borwein's Degrees

PhD Mathematics University of Oxford

Why Is Jonathan Borwein Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Jonathan Michael Borwein was a Scottish mathematician who held an appointment as Laureate Professor of mathematics at the University of Newcastle, Australia. He was a close associate of David H. Bailey, and they have been prominent public advocates of experimental mathematics.

(See a Problem?)

Jonathan Borwein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Two-Point Step Size Gradient Methods (1988) (2535)
On Projection Algorithms for Solving Convex Feasibility Problems (1996) (1702)
Convex analysis and nonlinear optimization : theory and examples (2000) (1078)
Convex Analysis And Nonlinear Optimization (2000) (825)
Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity (1998) (657)
Pi and the AGM (1999) (564)
Modular Equations and Approximations to π (2000) (471)
Mathematics by experiment - plausible reasoning in the 21st century (2003) (376)
Special values of multiple polylogarithms (1999) (347)
Legendre functions and the method of random Bregman projections (1997) (334)
Convex Functions: Constructions, Characterizations and Counterexamples (2010) (326)
Partially finite convex programming, Part I: Quasi relative interiors and duality theory (1992) (325)
Proper Efficient Points for Maximizations with Respect to Cones (1977) (317)
Techniques of variational analysis (2005) (306)
On the convergence of von Neumann's alternating projection algorithm for two sets (1993) (296)
Bregman Monotone Optimization Algorithms (2003) (288)
ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES (2001) (279)
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions (1987) (278)
A cubic counterpart of Jacobi’s identity and the AGM (1991) (254)
Duality relationships for entropy-like minimization problems (1991) (237)
Experimentation in mathematics - computational paths to discovery (2004) (233)
Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization (1999) (229)
Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k (1996) (227)
Explicit evaluation of Euler sums (1995) (220)
Super efficiency in vector optimization (1993) (195)
Dykstra's Alternating Projection Algorithm for Two Sets (1994) (193)
Computational strategies for the Riemann zeta function (2000) (182)
Stability and regular points of inequality systems (1986) (181)
Convergence of Best Entropy Estimates (1991) (180)
Regularizing the Abstract Convex Program (1981) (170)
Some cubic modular identities of Ramanujan (1994) (169)
Experimental Evaluation of Euler Sums (1994) (168)
The method of cyclic projections for closed convex sets in Hilbert space (1997) (156)
Pseudo-Mathematics and Financial Charlatanism: The Effects of Backtest Overfitting on Out-of-Sample Performance (2014) (148)
Ramanujan, modular equations, and approximations to Pi or how to compute one billion digits of Pi (1989) (136)
Elliptic integral evaluations of Bessel moments and applications (2008) (136)
High-precision computation: Mathematical physics and dynamics (2010) (135)
Facial reduction for a cone-convex programming problem (1981) (131)
Experimental Mathematics in Action (2007) (130)
Maximal Monotonicity via Convex Analysis (2006) (129)
Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps (1988) (127)
Dictionary of mathematics (1989) (123)
Notions of Relative Interior in Banach Spaces (2003) (119)
On an intriguing integral and some series related to (4) (1995) (115)
A survey of subdifferential calculus with applications (2002) (114)
Combinatorial Aspects of Multiple Zeta Values (1998) (113)
Multivalued convexity and optimization: A unified approach to inequality and equality constraints (1977) (112)
Evaluation of Triple Euler Sums (1996) (111)
Krasnoselski-Mann Iterations in Normed Spaces (1992) (110)
Partially-Finite Programming in L1 and the Existence of Maximum Entropy Estimates (1993) (109)
Projection algorithms and monotone operators (1996) (107)
Continuity and Differentiability Properties of Convex Operators (1982) (106)
The geometry of Pareto efficiency over cones (1980) (105)
Existence Of Nearest Points In Banach Spaces (1989) (103)
The Life of Pi (2002) (101)
The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions (1984) (100)
Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory (1986) (99)
Fifty years of maximal monotonicity (2010) (97)
The SIAM 100-Digit challenge: a study in high-accuracy numerical computing (1987) (97)
The Probability of Backtest Overfitting (2015) (97)
Joint and Separate Convexity of the Bregman Distance (2001) (95)
Cubic Analogues of the Jacobian Theta Function θ(z, q) (1993) (95)
The Douglas-Rachford Algorithm in the Absence of Convexity (2011) (94)
Partially finite convex programming, Part II: Explicit lattice models (1992) (93)
Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity (1996) (92)
Central Binomial Sums, Multiple Clausen Values, and Zeta Values (2000) (91)
The differentiability of real functions on normed linear space using generalized subgradients (1987) (85)
CLOSED FORMS: WHAT THEY ARE AND WHY WE CARE (2013) (84)
Lattice Sums Then and Now (2013) (84)
Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems (2013) (83)
Entropy minimization, DAD problems, and doubly stochastic kernels (1994) (82)
The evaluation of character Euler double sums (2008) (81)
Experimental Mathematics: Examples, Methods and Implications (2005) (81)
Convergence of lattice sums and Madelung’s constant (1985) (80)
Adjoint Process Duality (1983) (76)
Direct reconstruction of functional parameters for dynamic SPECT (1994) (76)
A Lagrange multiplier theorem and a sandwich theorem for convex relations (1981) (75)
Integrals of the Ising Class (2006) (74)
Setting the Default to Reproducible Reproducibility in Computational and Experimental Mathematics (2013) (73)
A Cyclic Douglas–Rachford Iteration Scheme (2013) (72)
Global convergence of a non-convex Douglas–Rachford iteration (2012) (71)
Pi: A Source Book (2004) (70)
Survey of subdifferential calculus with applications (1999) (70)
The proximal normal formula in Banach space (1987) (70)
Densities of Short Uniform Random Walks (2011) (69)
Thirty-two Goldbach Variations (2005) (67)
Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative (2007) (67)
On the convergence of moment problems (1991) (67)
Maximality of sums of two maximal monotone operators in general Banach space (2007) (66)
DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS (2013) (66)
On the binary expansions of algebraic numbers (2003) (66)
A NOTE ON "-SUBGRADIENTS AND MAXIMAL MONOTONICITY (1982) (64)
Essentially Smooth Lipschitz Functions (1997) (63)
Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets (2013) (62)
Characterization of optimality for the abstract convex program with finite dimensional range (1981) (62)
Nonsmooth calculus in finite dimensions (1987) (62)
Proximal analysis in smooth spaces (1996) (61)
On Fan's minimax theorem (1986) (60)
Some Remarkable Properties of Sinc and Related Integrals (2001) (60)
On difference convexity of locally Lipschitz functions (2011) (59)
Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind (1992) (59)
Characterizations of optimality without constraint qualification for the abstract convex program (1982) (58)
Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems (2015) (58)
Giuga's Conjecture on Primality (1996) (58)
Compactly epi-Lipschitzian convex sets and functions in normed spaces (2000) (57)
Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications (1987) (57)
Ten Problems in Experimental Mathematics (2006) (56)
Emerging Tools for Experimental Mathematics (1999) (56)
A characterization of quasiconvex vector-valued functions (2002) (56)
Class number three Ramanujan type series for 1/p (1993) (55)
Empirically Determined Apéry-Like Formulae for ζ(4n+3) (1997) (55)
High-precision arithmetic in mathematical physics (2015) (55)
Second order differentiability of convex functions in Banach spaces (1994) (55)
Fitzpatrick Functions and Continuous Linear Monotone Operators (2007) (55)
Making Sense of Experimental Mathematics (1996) (55)
Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties (2000) (54)
On the complexity of familiar functions and numbers (1988) (54)
Some arithmetic properties of short random walk integrals (2011) (53)
Epi-lipschitz-like sets in banach space: theorems and examples (1987) (52)
A Characterization of Bregman Firmly Nonexpansive Operators Using a New Monotonicity Concept (2011) (52)
Uniformly convex functions on Banach spaces (2008) (50)
High-precision numerical integration: Progress and challenges (2008) (50)
Integer Powers of Arcsin (2007) (50)
The Linear Order Complementarity Problem (1989) (50)
Parametric Euler sum identities (2005) (50)
Experimental Mathematics: Recent Developments and Future Outlook (2001) (49)
Fixed point iterations for real functions (1991) (49)
Conjugate convex operators (1984) (48)
Tools and mathematics, instruments for learning (2016) (48)
Necessary conditions for constrained optimization problems with semicontinuous and continuous data (1998) (48)
SIAM: “Setting the Default to Reproducible” in Computational Science Research (2013) (48)
On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability (1993) (48)
The Computer as Crucible: An Introduction to Experimental Mathematics (2008) (47)
Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy (2003) (47)
Necessary and sufficient conditions for quadratic minimality (1982) (46)
Pi, Euler numbers, and asymptotic expansions (1989) (44)
Lattice Sums Then and Now: Index (2013) (44)
Neverending Fractions: An Introduction to Continued Fractions (2014) (44)
An EM algorithm for dynamic SPECT (1999) (44)
Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem (2015) (44)
Inequalities for compound mean iterations with logarithmic asymptotes (1993) (43)
Mosco convergence and reflexivity (1990) (42)
Experimentation in Mathematics (2004) (42)
Special Values of Multidimensional Polylogarithms (2001) (41)
Evaluations of binomial series (2005) (41)
Effective Laguerre Asymptotics (2008) (41)
Decomposition of Multivariate Functions (1992) (40)
Exploratory Experimentation and Computation (2011) (40)
Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators (1999) (40)
Highly Parallel, High-Precision Numerical Integration (2005) (40)
Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality (1996) (39)
A nonconvex separation property in Banach spaces (1998) (39)
The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems (2013) (39)
Three-Step and Four-Step Random Walk Integrals (2013) (39)
Analysis of certain lattice sums (1989) (39)
Uniform Bounds for the Complementary Incomplete Gamma Function (2009) (39)
MOSCO CONVERGENCE AND THE KADEC PROPERTY (1989) (38)
Infimal convolutions and lipschitzian properties of subdifferentials for prox-regular functions in hilbert spaces (2010) (38)
A simple constraint qualification in infinite dimensional programming (1986) (38)
Direct theorems in semi-infinite convex programming (1981) (38)
Ramanujan and Pi (1988) (38)
Experimental Determination of Apéry-like Identities for ς(2n + 2) (2006) (38)
Strange series and high precision fraud (1992) (37)
Weak tangent cones and optimization in a Banach space | NOVA. The University of Newcastle's Digital Repository (1978) (37)
Surprising Sinc Sums and Integrals (2008) (36)
A dual approach to multidimensional L p spectral estimation problems (1988) (36)
Special values of generalized log-sine integrals (2011) (36)
The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof (2005) (36)
Norm duality for convex processes and applications (1986) (36)
Communicating Mathematics in the Digital Era (2008) (35)
Affine Weyl groups (2001) (34)
Proximality and Chebyshev sets (2006) (34)
Minimal Convex Uscos and Monotone Operators on Small Sets (1991) (34)
A Proof of a Recurrence for Bessel Moments (2007) (34)
On the Representations of xy + yz + ZX (2000) (34)
Strong Rotundity and Optimization (1994) (33)
Copulas with maximum entropy (2012) (33)
Super efficiency in convex vector optimization (1991) (33)
On the Generating Function of the Integer Part: [nα + γ] (1993) (33)
Null Sets and Essentially Smooth Lipschitz Functions (1998) (32)
Stability of closedness of convex cones under linear mappings II (2010) (32)
Generalized subdifferentials: a Baire categorical approach (2001) (32)
A Survey of Examples of Convex Functions and Classifications of Normed Spaces (1994) (31)
Weak* sequential compactness and bornological limit derivatives (1995) (31)
Hypergeometric Forms for Ising-Class Integrals (2007) (31)
Non-expansive mappings on Banach lattices and related topics (1984) (30)
On the Khintchine constant (1997) (30)
An Empirical Approach to the Normality of π (2012) (30)
The computation of previously inaccessible digits of π² and Catalan's constant (2013) (30)
Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions (1997) (30)
Local boundedness of monotone operators under minimal hypotheses (1989) (29)
A Weak Hadamard Smooth Renorming of L 1(Ω, μ) (1993) (29)
The Harpercollins Dictionary Of Mathematics (1991) (29)
Energy of static electron lattices (1988) (29)
Directionally Lipschitzian Mappings on Baire Spaces (1984) (29)
Applications of integer relation algorithms (2000) (28)
Differentiability of cone-monotone functions on separable Banach space (2003) (27)
Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres (2016) (27)
Separable determination of integrability and minimality of the Clarke subdifferential mapping (1999) (27)
Computation and theory of extended Mordell-Tornheim-Witten sums (2014) (27)
Generalized linear complementarity problems treated without fixed-point theory (1984) (27)
The Way of All Means (1987) (26)
Hand-to-hand combat with thousand-digit integrals (2012) (26)
Exploratory Experimentation: Digitally-Assisted Discovery and Proof (2011) (26)
A remarkable cubic mean iteration (1990) (26)
Hilbert's Inequality and Witten's Zeta-Function (2008) (26)
A Proof of a Recursion for Bessel Moments (2007) (26)
Epigraphical and Uniform Convergence of Convex Functions (1996) (26)
Advances in the theory of box integrals (2010) (26)
On the Bartle-Graves theorem (2003) (25)
Lattice sums arising from the Poisson equation (2013) (25)
Maximum entropy reconstruction using derivative information part 2: computational results (1995) (25)
LOG-SINE EVALUATIONS OF MAHLER MEASURES (2011) (25)
Computer-Assisted Discovery and Proof (2007) (23)
On the Equivalence of Some Basic Principles in Variational Analysis (1999) (23)
On Dirichlet Series for Sums of Squares (2003) (23)
A note on regularity of sets and of distance functions in Banach space (1994) (23)
High-Precision Computation and Mathematical Physics (2009) (23)
Subdifferentials Whose Graphs Are Not Norm × Weak* Closed (2003) (22)
Implications of Experimental Mathematics for the Philosophy of Mathematics (2008) (22)
Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant (2011) (21)
Functional Equations and Distribution Functions (1994) (21)
A note on perfect duality and limiting lagrangeans (1980) (21)
Facilitating Reproducibility in Scientific Computing: Principles and Practice (2015) (21)
Subgradient representation of multifunctions (1999) (21)
Finding and Excluding b-ary Machin-Type Individual Digit Formulae (2004) (21)
Symbolic Fenchel Conjugation (2008) (21)
Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence (1993) (21)
Sandwich Theorems for Semicontinuous Operators (1992) (21)
Absolute norms on vector lattices (1984) (21)
The limiting Lagrangian as a consequence of Helly's theorem (1981) (21)
Mahler measures, short walks and log-sine integrals (2013) (21)
Reflection methods for inverse problems with applications to protein conformation determination (2014) (20)
Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series (2015) (20)
Variational Methods in Convex Analysis (2006) (20)
The hypertangent cone (1989) (20)
Lipschitz functions with prescribed derivatives and subderivatives (1997) (20)
Fractional programming without differentiability (1976) (20)
Mosco and slice convergence of level sets and graphs of linear functionals (1993) (19)
Entropic Regularization of the ℓ 0 Function (2011) (19)
Gamma and Factorial in the Monthly (2017) (19)
Convergence of Madelung-like lattice sums (1998) (19)
Refined Convexity and Special Cases of the Blaschke-Santalo Inequality (2001) (19)
The Brezis–Browder Theorem in a general Banach space (2011) (19)
SEMI-INFINITE PROGRAMMING DUALITY: HOW SPECIAL IS IT? (1983) (19)
Euler-Boole Summation Revisited (2009) (19)
Multi-Variable Sinc Integrals and Volumes of Polyhedra (2002) (19)
Brouwer-Heyting Sequences Converge (1998) (19)
Characterization of Clarke subgradients among one-dimensional multifunctions (1995) (19)
Nested radicals (1991) (19)
Hypergeometric analogues of the arithmetic-geometric mean iteration (1993) (19)
The Range of the Gradient of a Continuously Differentiable Bump (2001) (18)
On the Ramanujan AGM Fraction, II: The Complex-Parameter Case (2004) (18)
On lattice sums and Wigner limits (2013) (18)
Maximum entropy methods for generating simulated rainfall (2012) (18)
Multifunctional and functional analytic techniques in nonsmooth analysis (1999) (18)
Log-Sine Evaluations of Mahler Measures, II (2011) (18)
Conditions for zero duality gap in convex programming (2012) (18)
A Chain Rule for Essentially Smooth Lipschitz Functions (1998) (17)
The Hausdorff metric andCˇebysˇev centres (1980) (17)
On Eulerian log-gamma integrals and Tornheim–Witten zeta functions (2015) (17)
Lipschitz functions with maximal Clarke subdifferentials are generic (2000) (17)
A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy (1995) (17)
Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type (2011) (17)
An Introduction to Modern Mathematical Computing: With Mathematica® (2012) (17)
Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE (2014) (17)
Norm convergence of realistic projection and reflection methods (2013) (17)
I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly (2015) (17)
Constructible Convex Sets (2004) (17)
Locally Lipschitz Functions and Bornological Derivatives (1993) (17)
Meetings with Lambert W and Other Special Functions in Optimization and Analysis (2016) (17)
Banach spaces that admit support sets (1996) (17)
A survey of results relating to Giuga's conjecture on primality (1997) (16)
Subgradients of convex operators (1984) (16)
Automatic continuity and openness of convex relations (1987) (16)
Tools and Mathematics (2016) (16)
On the Ramanujan AGM Fraction, I: The Real-Parameter Case (2004) (16)
On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems (1993) (16)
Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links (1998) (16)
The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems (2016) (16)
PSEUDO MATHEMATICS AND FINANCIAL CHARLATANISM: BACKTEST OVERFITTING AND OUT-OF-SAMPLE PERFORMANCE (2013) (16)
A Survey of Convergence Results for Maximum Entropy Methods (1993) (16)
On supportless convex sets (1985) (16)
Recent Results on Douglas–Rachford Methods (2013) (16)
Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy (2014) (16)
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums (2015) (16)
Effective Error Bounds in Euler-Maclaurin-Based QuadratureSchemes (2005) (16)
Mathematics by Experiment and Experimentation in (2005) (15)
The Life of π: From Archimedes to ENIAC and Beyond (2014) (15)
Ramanujan, modular equations and pi or how to compute a billion digits of pi (1989) (15)
Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics (2012) (15)
Finding and Excluding b-ary Machin-Type BBP Formulae (2004) (15)
Normal Numbers and Pseudorandom Generators (2013) (15)
On the method of cyclic projections for convex sets in Hilbert space (1994) (15)
A very complicated proof of the minimax theorem (2016) (15)
Applications of convex analysis within mathematics (2013) (15)
Number Theory and Related Fields, In Memory of Alf van der Poorten (2013) (15)
Elliptic integral evaluation of the Gamma function at rational values of small denominator (1992) (15)
For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint (2011) (15)
Elliptic integral representation of Bessel moments (2008) (15)
Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal (2014) (14)
Conical open mapping theorems and regularity (1999) (14)
On the Ramanujan AGM fraction . Part II : The complex-parameter case (2003) (14)
Densities of short uniform random walks in higher dimensions (2015) (14)
Structure Theory for Maximally Monotone Operators with Points of Continuity (2012) (14)
Computation of π by Successive Interpolations (1997) (14)
Partially smooth variational principles and applications (1999) (13)
Lp Norms and the Sinc Function (2010) (13)
Higher-Dimensional Box Integrals (2010) (13)
Boundedness, differentiability and extensions of convex functions (2006) (13)
Addition Theorems and Binary Expansions (1995) (13)
Convex Functions of Legendre Type in General Banach Spaces (2001) (13)
Recent progress on Monotone Operator Theory (2012) (13)
Convex Functions: Constructions, Characterizations and Counterexamples: References (2010) (13)
Derivatives and fast evaluation of the Tornheim zeta function (2018) (13)
Completeness and the contraction principle (1983) (13)
Maximality of sums of two maximal monotone operators (2006) (12)
Nonnormality of Stoneham constants (2012) (12)
A One Perturbation Variational Principle and Applications (2004) (12)
Expectations on fractal sets (2013) (12)
An Introduction to Modern Mathematical Computing (2011) (12)
Variational analysis in nonreflexive spaces and applications to control problems with L 1 perturbations (1997) (12)
Convergence of Lipschitz Regularizations of Convex Functions (1995) (12)
Cubic Analogues Of The Jacobian Theta Function (1993) (12)
Automated simplification of large symbolic expressions (2014) (12)
Maximum entropy and feasibility methods for convex and nonconvex inverse problems (2012) (12)
On the Ramanujan AGM fraction (2003) (12)
Maximal Monotone Inclusions and Fitzpatrick Functions (2016) (12)
Variational methods in the presence of symmetry (2013) (12)
Distinct differentiable functions may share the same Clarke subdifferential at all points | NOVA. The University of Newcastle's Digital Repository (1997) (12)
Explicit Ramanujan-type approximations to pi of high order (1987) (12)
A note on alternating series in several dimensions (1986) (12)
Differentiability of conjugate functions and perturbed minimization principles (2009) (12)
A convex dual approach to the computation of NMR complex spectra (2000) (12)
Fréchet-Legendre functions and reflexive Banach spaces (2010) (12)
A strong duality theorem for the minimum of a family of convex programs (1980) (12)
Measurement of a Circle (2000) (12)
Computation and theory of Mordell-Tornheim-Witten sums II (2015) (12)
Spectral Estimation Via Convex Programming (1992) (11)
Cone-Monotone Functions: Differentiability and Continuity (2005) (11)
Computer Discovery and Analysis of Large Poisson Polynomials (2017) (11)
Resolution of the Quinn–Rand–Strogatz Constant of Nonlinear Physics (2009) (11)
On the Ramanujan AGM fraction . Part I : The real-parameter case (2003) (11)
Fast heuristic methods for function reconstruction using derivative information (1995) (11)
Weak local supportability and applications to approximation (1979) (11)
Empirically Determined Apéry-like Formulae for Zeta(4n+3) (2005) (11)
A Variational Approach to Lagrange Multipliers (2014) (10)
A generalization of Young's ℓ p inequality (1997) (10)
On the continuity of biconjugate convex functions (2001) (10)
A note on the existence of subgradients (1982) (10)
Opinion: set the default to "open" (2013) (10)
The range of the gradient of a LipschitzC1-smooth bump in infinite dimensions (2002) (10)
Searching symbolically for Ape´ry-like formulae for values of the Riemann zeta function (1996) (10)
Convex spectral functions of compact operators (2000) (10)
On the Hahn-Banach extension property (1982) (10)
Journal of Convex Analysis (2012) (10)
Asplund Decomposition of Monotone Operators (2007) (10)
Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi (2017) (10)
Algebraic dynamics of certain Gamma function values (2005) (9)
Challenges in mathematical computing (2001) (9)
Searching symbolically for Apery-like formulae for values of the Riemann zeta function (2005) (9)
Relations for Nielsen polylogarithms (2015) (9)
High-Precision Arithmetic : Progress and Challenges (2013) (9)
Two kinds of normality in vector optimization (1984) (9)
Alternative Theorems for General Complementarity Problems (1985) (9)
Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces (2011) (9)
Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces (1993) (9)
PSLQ: An Algorithm to Discover Integer Relations (2009) (9)
Surprise Maximization (2000) (9)
Continued Fractions of Tails of Hypergeometric Series (2005) (9)
Cubic and Higher Order Algorithms for π (1984) (9)
The stability analysis of dynamic SPECT systems (1997) (9)
SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV) (2013) (9)
Approximations to π via the Dedekind eta function (2005) (9)
Some results on the convexity of the closure of the domain of a maximally monotone operator (2012) (9)
Antiproximinal Norms in Banach Spaces (2002) (9)
Knowledge and community in mathematics (2005) (8)
On the Solution of Linear Mean Recurrences (2014) (8)
Quadratic Convergence of the Tanh-sinh Quadrature Rule (2006) (8)
On generic second-order Gateaux differentiability (1993) (8)
On some trigonometric and exponential lattice sums (1994) (8)
Limiting convex examples for nonconvex subdifferential calculus (1998) (8)
A multivalued approach to the Farkas lemma (1979) (8)
The evaluation of Bessel functions via exp-arc integrals (2008) (8)
ASPLUND DECOMPOSITIONS OF MONOTONE OPERATORS (2007) (8)
Experimental mathematics and mathematical physics (2009) (8)
Compressed lattice sums arising from the Poisson equation (2013) (8)
Computation and Experimental Evaluation of Mordell–Tornheim–Witten Sum Derivatives (2018) (8)
A Dictionary of Real Numbers (1991) (8)
Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator (2012) (7)
On the mean iteration (a,b) ← (a+3b/4, √ab+b/2) (1989) (7)
Lipschitz functions with maximal Clarke subdifferentials are staunch (2005) (7)
Backtest Overfitting in Financial Markets (2016) (7)
Convex functions on Banach spaces not containing ℓ1 (1997) (7)
A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS (2015) (7)
A very rapidly convergent product expansion for π (1983) (7)
Aesthetics for the Working Mathematician (2006) (7)
Moments of the Poisson Distribution: 10738 (2000) (7)
A chain rule for essentially strictly differentiable Lipschitz functions (1998) (7)
Legendre-type integrands and convex integral functions (2012) (7)
Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics (2015) (7)
Stock Portfolio Design and Backtest Overfitting (2016) (7)
A Sinc that Sank (2012) (7)
Metric regularity, strong CHIP, and CHIP are distinct properties (2000) (7)
A Class of Dirichlet Series Integrals (2007) (7)
Random Walks in the Plane (2010) (7)
Lipschitz functions with minimal Clarke subdifferential mappings (1996) (7)
Convex Cones, Minimality Notions, and Consequences (1987) (7)
Mathematical Appendices to: 'The Probability of Backtest Overfitting' (2015) (7)
Symbolic computation of multidimensional Fenchel conjugates (2006) (7)
Generic differentiability of order-bounded convex oparators (1986) (7)
Continuous Linear Monotone Operators on Banach Spaces (1995) (7)
Tangent cones, starshape and convexity (1978) (6)
Lattice Sums Then and Now: Lattice sums (2013) (6)
Log-sine evaluations of Mahler measures, Part I. (2012) (6)
More quadratically converging algorithms for p (1986) (6)
Generalisations, Examples, and Counter-examples in Analysis and Optimisation (2017) (6)
Duality and Convex Programming (2015) (6)
Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings (1986) (6)
Some Inequalities Involving Statistical Expressions (L. V. Foster) (1982) (6)
How Many Matrices Have Roots? (1984) (6)
Evaluation and Ranking of Market Forecasters (2017) (6)
Experimental Mathemataics: Examples, Methods andImplications (2005) (6)
Constructions of Uniformly Convex Functions (2012) (6)
A note on the Farkas lemma (1983) (6)
Some Generalizations of Carathéodory′s Theorem Via Barycentres, with Application to Mathematical Programming (1980) (6)
Entropy minimization with lattice bounds (1994) (6)
The range of the gradient of a Lipschitz C¹-smooth bump in infinite dimensions | NOVA. The University of Newcastle's Digital Repository (2002) (6)
Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance (2001) (5)
Generalized Trigonometric Functions: 10744 (2001) (5)
DUALITY IN TAILS OF MULTIPLE-ZETA VALUES (2010) (5)
On the mean iteration (,)←((+3)/4,(√+)/2) (1989) (5)
Approximating $\pi$ with Ramanujan's solvable modular equations (1989) (5)
Global convergence of a non-convex Douglas–Rachford iteration (2012) (5)
Strange series evaluations and high precision fraud (1992) (5)
Some remarks on convex analysis in topological groups (2015) (5)
Experimental Determination of Apery-Like Identities for Zeta(2n+2) (2005) (5)
An EM-algorithm for dynamic SPECT tomography (2007) (5)
Experimental mathematics and computational statistics (2009) (5)
Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) (1997) (5)
Experimental Mathematics: A Discussion (2001) (5)
Convex functions on Euclidean spaces (2010) (5)
Euclidean reflection groups (2001) (5)
Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions (2002) (5)
On the Construction of Hölder and Proximal Subderivatives (1998) (5)
Organic mathematics: then and now (2012) (5)
Numerical Assessment of the Stability of Reconstruction Processes for Computed Tomography (1998) (5)
An Introduction to Modern Mathematical Computing: With Maple™ (2011) (5)
Convex analysis in groups and semigroups: a sampler (2015) (5)
On Two Fundamental Identities For Euler Sums (2005) (5)
Continued Logarithms and Associated Continued Fractions (2017) (4)
The (Digital) Life of Pi (2004) (4)
Some Generic Results on Nonattaining Functionals (2001) (4)
Computation and stability analysis for regularized tomographic reconstructions (1999) (4)
Future Prospects for Computer-Assisted Mathematics (2005) (4)
Hand-to-hand combat with multi-thousand-digit integrals. (2012) (4)
Pi: The Next Generation (2016) (4)
Visibility and Starshape (1976) (4)
The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe) (1996) (4)
Modelling and simulation of seasonal rainfall (2012) (4)
Second Order Cones for Maximal Monotone Operators via Representative Functions (2008) (4)
Densities of short random uniform walks (2012) (4)
Digitally-Assisted Discovery and Proof (2009) (4)
An explicit non-expansive function whose subdifferential is the entire dual ball (2010) (4)
Convex Programs and Their Closures. (1978) (4)
Dynamics of generalizations of the AGM continued fraction of Ramanujan. Part I: divergence. (2004) (4)
The Converse of the Mean Value Theorem May Fail Generically (1998) (4)
Mathematical Knowledge Management, 5th International Conference, MKM 2006, Wokingham, UK, August 11-12, 2006, Proceedings (2006) (4)
The Greatest Mathematical Discovery (2010) (3)
Dynamics of a continued fraction of Ramanujan with random coefficients (2005) (3)
Advanced Problems: 6491-6492 (1985) (3)
Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title Effective Error Bounds in Euler-Maclaurin-Based Quadrature Schemes Permalink (2005) (3)
Tools for visualizing real numbers : Planar number walks (2012) (3)
Multimedia Tools for Communicating Mathematics (2013) (3)
Duality inequalities and sandwiched functions (2001) (3)
Asymptotics of a sequence of Witt vectors (1992) (3)
Online Tools for Demonstration of Backtest Overfitting (2015) (3)
Cancellation characterizes convexity (1979) (3)
A Class of Exponential Inequalities (2003) (3)
Experimental Mathemataics: Examples, Methods and Implications - eScholarship (2005) (3)
Nonexpansive mappings on Banach lattices (1983) (3)
Generation of simulated rainfall data at different time-scales | NOVA. The University of Newcastle's Digital Repository (2011) (3)
Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06) (2006) (3)
On the mean iteration $ (a,b)\rightarrow((a+3b)/4,(\surd ab+b)/2)$ (1989) (3)
A note on Fritz John sufficiency (1976) (3)
A survey on renorming and set convergence (1995) (3)
THREE ADVENTURES : SYMBOLICALLY DISCOVERED IDENTITIES FOR ZETA ( 4 N + 3 ) AND LIKE MATTERS (1997) (3)
Ergodic behaviour of a Douglas-Rachford operator away from origin (2017) (3)
An explicit cubic iteration for π (1986) (3)
Karush-Kuhn-Tucker Theory (2000) (3)
Super-efficient in vector optimization (1993) (3)
On the Khinchin Constant (1995) (3)
Uniform convergence for moment problems with Fermi-Dirac type entropies (1994) (3)
Further arguments for slice convergence in nonreflexive spaces (1994) (3)
Dynamic Composition of Math Lessons (2003) (3)
Monotone Operators Without Enlargements (2011) (2)
A short walk can be beautiful (2016) (2)
Closed forms: What they are and why they matter (2013) (2)
Experimental Mathematics in the Society of the Future (2015) (2)
A $C^1$ function even on the sphere with no critical point in the ball (2002) (2)
Closed convex Haar null sets (1995) (2)
Organic mathematics : proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University, Burnaby, British Columbia (1997) (2)
A Variation on the Banach-Dieudonne Theorem with Application to Maximal Monotone Operators (2007) (2)
Dynamics of Random Continued Fractions (2005) (2)
Monotone operators and "bigger conjugate" functions (2011) (2)
Explicit Algebraic Nth Order Approximations to PI (1984) (2)
Problems: 10330-10337 (1993) (2)
On the nondifferentiability of cone-monotone functions in Banach spaces (2009) (2)
Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results (1995) (2)
Some remarks on a paper of Cobzas on antiproximal sets (1981) (2)
Derivative and fast evaluation of the witten Zeta function (2016) (2)
Assessment of the performance of reconstruction processes for computed tomography (1998) (2)
Loving and Hating Mathematics by Reuben Hersh and Vera John-Steiner (2011) (2)
Hypergeometric analogues of the AGM iteration (1993) (2)
NEAREST POINTS AND DELTA CONVEX FUNCTIONS IN BANACH SPACES (2015) (2)
Remote Collaboration (2012) (2)
A General Sum Theorem for Maximality of Monotone Operators (2007) (2)
Generalized Continued Logarithms and Related Continued Fractions (2016) (2)
Solution to Monthly Problem 11277 (2007) (2)
Finding New Mathematical Identities with Supercomputers (1995) (2)
Neverending Fractions: Metric theory of continued fractions (2014) (2)
The Geometry of Pareto optimality (1980) (2)
Fenchel-duality and separably-infinite programs (1983) (2)
Future Challenges for Variational Analysis (2010) (2)
NUMERICAL QUADRATURE: THEORY AND COMPUTATION (2006) (2)
The direct method in semi-infinite programming (1981) (2)
Exploratory experimentation in mathematics: Selected works (2012) (2)
An integral characterization of Euclidean space (1984) (2)
Mathematical Circles: A Selection of Mathematical Stories and Anecdotes (2000) (2)
Architecture to support dynamic composition of math lesson plans (2003) (2)
Monochrome Lines in the Plane (1979) (2)
On strongly exposing functionals (1978) (2)
Non-smooth analysis, optimisation theory and Banach space theory (2007) (2)
Approximations to Pi via the Dedekind eta function (1996) (2)
Some Remarks on Visibility and Starshape (1977) (2)
A C¹-function that is even on a sphere and has no critical points in the ball (2002) (1)
Maths matters: exploratory experimentation: digitally-assisted discovery and proof (2009) (1)
Dynamics of a Ramanujan-type continued fraction with cyclic coefficients (2008) (1)
The generalized monotone linear complementarity problem treated without fixed point theory (1984) (1)
Problems: 10599-10605 (1997) (1)
EXPECTATIONS OVER ATTRACTORS OF ITERATED FUNCTION SYSTEMS (2015) (1)
Eﬀective Error Bounds in Euler-Maclaurin-Based Quadrature Schemes (2005) (1)
Postscript: Infinite Versus Finite Dimensions (2000) (1)
Who we are and how we got that way (2015) (1)
Convex Functions on ``Sequentially Reflexive'' Banach Spaces (1995) (1)
Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres (2017) (1)
Dirichlet series for squares of sums of squares: A summary (2004) (1)
Digitally Activated Mathematics for a Brave New World Wide Web (1996) (1)
Experimental mathematics (editorial) (2001) (1)
van der Pol Expansions of L-Series (2007) (1)
On formulas for π experimentally conjectured by Jauregui–Tsallis (2012) (1)
Constructive Minimal Cuscos (2004) (1)
The Impact of Technology on the Doing of Mathematics (1999) (1)
Introduction: Reflection groups and invariant theory (2001) (1)
Normality and the Digits of π (2012) (1)
CHECKERBOARD COPULAS OF MAXIMUM ENTROPY WITH PRESCRIBED MIXED MOMENTS (2018) (1)
Some results on the convexity of the closure of the domain of a maximally monotone operator (2012) (1)
Structure Theory for Maximally Monotone Operators with Points of Continuity (2012) (1)
Arithmetic-Geometric Means Revisited (1997) (1)
Experimental Applied Mathematics (2015) (1)
Advanced Problems: 6430-6435 (1983) (1)
Experiments in Mathematics (2006) (1)
I Prefer Pi: Addenda (2015) (1)
Deriving New Sinc Results from Old (2014) (1)
The Rhind Mathematical Papyrus-Problem 50 ( ~ 1650 B.C.) (1997) (1)
Essentially smooth Lipschitz functions: compositions and chain rules (1997) (1)
Tools for visualizing real numbers . Part I : Planar number walks (2012) (1)
Coast-to-Coast Seminar: Background, History, and Practice (2006) (1)
MATH HONOURS: MULTIPLE ZETA VALUES (2011) (1)
Pi, Euler numbers and asymptotic expansions | NOVA. The University of Newcastle's Digital Repository (1989) (1)
A Prototype for the Federated World Directory of Mathematicians (2005) (1)
Problem 11009 (2003) (1)
Experimental computation with oscillatory integrals (2009) (1)
Experimental mathematics leads to new insights (2013) (1)
The Coast-to-Coast Seminar and Remote Mathematical Collaboration (2007) (1)
Some modular identities of Ramanujan useful in approximating π (1985) (1)
Proceedings of the 5th international conference on Mathematical Knowledge Management (2006) (1)
The Erdős–Moser equation (2014) (1)
Applications of convex analysis within mathematics (2013) (1)
Viète. Variorum de Rebus Mathematicis Reponsorum Liber VIII (1593) (2000) (1)
Norm Convergence of Realistic Reflection and Projection Methods. (2015) (1)
The probability of back-test over-fitting (2015) (1)
Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem (2015) (1)
Weak local supportability, generic Gateaux differentiability and applications to approximation in a weakly compactly generated space (1979) (1)
Managing Digital Mathematical Discourse (2003) (1)
ON NORM CONVERGENCE OF VON NEUMANN SEQUENCES (2009) (0)
More Nonsmooth Structure (2006) (0)
An Infinite Product: 10605 (1999) (0)
Monotonicity of Certain Riemann Sums (2015) (0)
Generalized Concavity (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang) (1990) (0)
Experimental Mathematics and Exact Computation (2000) (0)
Lambert. Irrationality of π (2000) (0)
The Classification of crystallographic root systems (2001) (0)
Why are mathematics papers so dull (2011) (0)
Fixed points of real functions revisited (1991) (0)
The Recent Trademarking of Pi: A Troubling Precedent (2014) (0)
Do Financial Gurus Produce Reliable Forecasts? (2018) (0)
Ancient Indian Square Roots (2014) (0)
The cyclic Douglas-Rachford feasibility method: behaviour on infeasible problems. (2015) (0)
Hypergeometric Forms for Ising-Class Integrals - eScholarship (2008) (0)
A Pamphlet on Pi (2003) (0)
Entropy Maximization in Finance (2017) (0)
Experimental Computation and Visual Theorems (2014) (0)
Convex analysis in groups and semigroups: a sampler (2016) (0)
Generalisations, Examples, and Counter-examples in Analysis and Optimisation (2016) (0)
Poincaré series for the ring of covariants (2001) (0)
Local Lipschitz Constants and Maximal Subdifferentials (2003) (0)
Norms and the Sinc Function (2009) (0)
Convergence of Realistic Projection and Reflection Methods (2014) (0)
Convex Functions: Constructions, Characterizations and Counterexamples: Convex functions on Banach spaces (2010) (0)
Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (2000) (0)
On Rockafellar ’ s conjecture on the maximality of the sum of two maximal monotone operators in general Banach spaces (2008) (0)
Lattice Sums Then and Now: Seventy years of the Watson integrals (2013) (0)
Problems: 10274-10281 (1993) (0)
STRONG ROTUNDITYAND OPTIMIZATION (1994) (0)
Representations of pseudo-reflection groups (2001) (0)
On Eulerian log-gamma integrals and Tornheim–Witten zeta functions (2013) (0)
Symmetry and the Monotonicity of Certain Riemann Sums (2017) (0)
Convex Functions: Constructions, Characterizations and Counterexamples: Further remarks and notes (2010) (0)
Quadratic irrationals through a magnifier (2014) (0)
Mathematical Software: An Introduction to Modern Mathematical Computing (2009) (0)
The Life of π (2014) (2016) (0)
Treib es bis zum Limit (2011) (0)
1 Why convex ? (2012) (0)
Discussions of Part I Chapters (2016) (0)
REVIEW OF THE SIAM HUNDRED DIGIT CHALLENGE PREPARED FOR THE MATHEMATICAL INTELLIGENCER (2005) (0)
TWO TASTY SERVINGS OF PI (2003) (0)
Central Binomial Sums, Multiple (2000) (0)
List of Results and Notation (2000) (0)
Lattice Sums Then and Now: Madelung sums in higher dimensions (2013) (0)
69.30 A remarkable approximation to π (2004) (0)
MORE HYPERGEOMETRIC IDENTITIES RELATED TO RAMANUJAN-TYPE SERIES (2012) (0)
On the Conjugate of a Representative Function (2008) (0)
Lattice Sums Then and Now: Closed-form evaluations of three- and four-dimensional sums (2013) (0)
On the Khintchine constant | NOVA. The University of Newcastle's Digital Repository (1997) (0)
A Cyclic Douglas–Rachford Iteration Scheme (2013) (0)
Properties of regular elements (2001) (0)
A Survey of Convex Functions and Sequential Convergence (2005) (0)
Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type (2011) (0)
A problem on nearest points in Banach spaces (1988) (0)
Number Theory Elementary Number Theory (2016) (0)
Multiple Zeta Values 37 (2011) (0)
Experimental Mathemati s : Re entDevelopments and Future (2000) (0)
Prepared for MAA Centenary Volume, 2015 (2015) (0)
2 The Backtest Overfitting Demonstration Tool (2016) (0)
New representations for spin integrals (2007) (0)
The Paul R. Halmos–Lester R. Ford Awards for 2018 (2019) (0)
Reflection groups and Coxeter systems (2001) (0)
Lattice Sums Then and Now: Use of Dirichlet series with complex characters (2013) (0)
Lattice Sums Then and Now: Dedication (2013) (0)
Lattice Sums Then and Now: Lattice sums and Ramanujan's modular equations (2013) (0)
A Variational Approach to Lagrange Multipliers (2015) (0)
Walks on real numbers. (2012) (0)
Convex functions and classifications of Banach spaces (2010) (0)
The life of Simon Fitzpatrick, 1953-2004 (2006) (0)
Extract from the Rhind Papyrus (2004) (0)
The Oxford User's Guide To Mathematics, SIAM Review (2005) (0)
Ramanujan and pi [redacted] (2001) (0)
Modelling and simulation of seasonal rainfall using checkerboard copulas of maximum entropy (2015) (0)
EXPANSION FOR rc (1983) (0)
Harmonics and reflection groups (2001) (0)
Lattice Sums Then and Now: Preface (2013) (0)
Preface (2012) (0)
ON DIFFERENCE CONVEXITY OF LOCALLY LIPSCHITZ FUNCTIONS ( PREPARED FOR OPTIMIZATION IN HONOUR OF (2010) (0)
Gregory. Correspondence with John Collins (1671) (2000) (0)
Organizing Commitee (2019) (0)
From folding to Fibonacci (2014) (0)
Algorithmic Challenges in Polynomial and Linear Algebra (2007) (0)
Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems (2013) (0)
The Life of Pi History and Computation (2008) (0)
Subdifferentiability of Typical Continuous Functions (2001) (0)
Algorithmic Challenges in Polynomial and Linear Algebra (2007) (0)
Visualization and Geometry: A Postscript (2012) (0)
Contemporary Mathematics Experimental Mathematics and Mathematical Physics (2009) (0)
PROPOSED SIAM PROBLEM (2008) (0)
ON THE MATHEMATICS OF SALT (2005) (0)
Algorithms Used in Experimental Mathematics (2006) (0)
Classifications of pseudo-reflection groups (2001) (0)
High Performance Mathematics and its Management (2006) (0)
Adventures with the OEIS (2016) (0)
TWENTY-EIGHT GOLDBACH VARIATIONS (2005) (0)
Neverending Fractions: Some preliminaries from number theory (2014) (0)
Ramanujan et Pi (1988) (0)
The Coast-to-Coast Seminar: Five Years of Experience With AccessGrid (2007) (0)
Box Integrals - eScholarship (2006) (0)
Arithmetic-Geometric Means (2007) (0)
Further analytic topics (2010) (0)
6 IS MATHEMATICS INVADING HUMAN CELLS? IMPRESSIONS FROM A COLLABORATION WITH DIABETES DOCTORS / Bernhelm (2013) (0)
Jonathan Michael Borwein 1951 – 2016: Life and Legacy (2021) (0)
Huygens. De Circuli Magnitudine Inventa (1724) (2000) (0)
Problem Proposed for the American Mathematical Monthly (2008) (0)
Was wir Ihnen bisher nicht verraten haben (2011) (0)
Lattice Sums Then and Now: Angular lattice sums (2013) (0)
Author Manuscript, Published in "communicating Mathematics in the Digital Era, towards a Digital Mathematics Library? a French Pedestrian Overview (2008) (0)
Finer structure of Euclidean spaces (2010) (0)
CS355 Computer Ethics (2010) (0)
Sandwich theorems for vector valued operators (1992) (0)
Nonmodular invariants of pseudo-reflection groups (2001) (0)
Arithmetica Infinitorum (1655) (1997) (0)
Of the Method of Fluxions and Infinite Series (1737) (1997) (0)
Lattice Sums Then and Now: Foreword by Helaman and Claire Ferguson (2013) (0)
Hyperelliptic curves and Somos sequences (2014) (0)
Berechnungen von π (2011) (0)
On formulas for experimentally conjectured by (2012) (0)
Theory and applications of convex and non-convex feasibility problems (2014) (0)
Extended Mordell-Tornheim-Witten sums and log Gamma integrals (2012) (0)
SEARCHING SYMBOLICALLY FOR AP ERY LIKE FORMULAE FOR VALUES OF THE RIEMANN ZETA FUNCTION (2005) (0)
Solution to Monthly Problem #11418 (2009) (0)
Eco. An excerpt from Foucault’s Pendulum (1993) (2000) (0)
Was ist Experimentelle Mathematik (2011) (0)
Solutions to Monthly Problems 11456 and 11457 (2009) (0)
The Life of Simon Fitzpatrick (2006) (0)
Mahler measures, short walks and log-sine integrals: a case study in hybrid computation (2012) (0)
Toward a digital mathematics library ? (2019) (0)
Eigenvalues for reflection groups (2001) (0)
Convex Functions: Constructions, Characterizations and Counterexamples: Why convex? (2010) (0)
The ( Digital ) Life of Pi 1 (2004) (0)
Convex spectral functions of compact operators, Part 1 (2000) (0)
Neverending Fractions: The integer part of qα + β (2014) (0)
The ring of invariants (2001) (0)
Banach Spaces of Type (NI) and Monotone Operators on Non-reflexive Spaces (2008) (0)
Walking on real numbers (2013) (2016) (0)
Squaring the Circle (2000) (0)
Irregular continued fractions (2014) (0)
Local boundedness of monotone operators under minimal conditions (1988) (0)
THE EXPERIMENTAL MATHEMATICIAN: A COMPUTATIONAL GUIDE TO THE MATHEMATICAL UNKNOWN (2002) (0)
Nonnormality of Stoneham constants (2012) (0)
Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator (2013) (0)
On the Use of the Discovered Factors to Sum Infinite Series (2000) (0)
Wallis. Arithmetica Infinitorum (1655) (2000) (0)
Mathematical malaises. (1993) (0)
On convex decompositions (1976) (0)
On some intriguing sums involving $ \zeta$ (4) (1995) (0)
CHAPTER 1 Aesthetics for the Working Mathematician (2004) (0)
Walking on Real Numbers (2012) (0)
Scientific Notes a N E X P L I C I T C U B I C I T E R a T I O N F O R N (0)
Appendix A Selected continued fractions (2014) (0)
Lattice Sums Then and Now: Electron sums (2013) (0)
2 The Subdi ¤ erential and Gradient of a Maximal Monotone Operator (2007) (0)
Inequalities for compound means with logarithmic asymptotes (1993) (0)
Symbolic Computation of Fenchel Conjugates In honour of (2005) (0)
Symbolic Fenchel Conjugation In honour of (2006) (0)
A convergent mean iteration: a proof that $ x_n:= M(x_{n-1},x_{n-2},\cdots,x_{n-k})$ converges (1994) (0)
Symbolic Computation of Fenchel Conjugates (2005) (0)
Lattice Sums Then and Now: Convergence of lattice sums and Madelung's constant (2013) (0)
Moments of random walks (2015) (0)
Mosco, Wijsman and slice convergence in nonreflexive Banach spaces (1994) (0)
Monotone operators and the Fitzpatrick function (2010) (0)
Compressed lattice sums arising from the Poisson equation (2013) (0)
Classification of Coxeter systems and reflection groups (2001) (0)
Derivatives and fast evaluation of the Tornheim zeta function (2017) (0)
Book Review: Set-valued analysis (1992) (0)
Proof of experimentally conjectured formulas for π To the fine memories of (2012) (0)
Discussion of Issues in Chapters in Part II (2016) (0)
Pi, Euler numbers, and asymptotic expansions (1989) (2016) (0)
Notes on non-convex Lions-Mercier iterations (2009) (0)
Journal of Humanistic Mathematics Journal of Humanistic Mathematics A Short Walk can be Beautiful A Short Walk can be Beautiful (2022) (0)
Correspondence. Ludolph (or Ludolff or Lucius) van Ceulen (2004) (0)
Maximizing Surprise (2005) (0)
The Fields, Nevanlinna and Abel Awards: Chasing the Mathematical Prize (2003) (0)
SIAM REVIEW of of the Princeton Companion to Mathematics edited by Timothy Gowers with June Barrow-Green and Imre Leader, associate editors. (2009) (0)
Lipschitz functions on the line with prescribed Hölder subdifferentials (2003) (0)
Ramanujan and pi (1988) (2016) (0)
Newton.Of the Method of Fluxions and Infinite Series (1737) (2004) (0)
Preface (2011) (0)
The legacy of Kurt Mahler (2015) (0)
Loving and Hating Mathematics by Reuben Hersh & Vera John-Steiner (book review) (2011) (0)
D It B_,lIIV (0)
Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces (2012) (0)
Retro-enhancement of Recent Mathematical Literature (2007) (0)
Entropy Maximization in Finance 1 (2017) (0)
Experimental evaluation of Euler series (1994) (0)
Convex and Variational Analysis Analyse Convexe Et Variationnelle on Bar Frameworks, Stress Matrices and Semidefinite Programming New Advancements for the Set Covering Paradigm for Constraint Analysis (2009) (0)
Werten Sie das folgende Integral aus (2011) (0)
On the mean iteration $(a,b)\leftarrow ((a+3b)/4,(\sqrt{ab}+b)/2)$ (1989) (0)
The Banū Mūsā: The Measurement of Plane and Solid Figures ( ~ 850) (2000) (0)
Preface (2017) (0)
The Deconstruction of Pi (2004) (0)
A singular genius. (1991) (0)
Bilinear forms of Coxeter systems (2001) (0)
Index to Volume 116 (2009) (0)
A Pamphlet on Pi serving as a Supplement for the Third Edition of Pi : A Source Book (2003) (0)
Mahler and Number Theory in Australia (2015) (0)
Maximal Monotone Inclusions and Fitzpatrick Functions (2015) (0)
WITH SEMICONTINUOUS AND CONTINUOUS DATA (2016) (0)
Response to "Experimental approaches to theoretical thinking: artefacts and proofs" (2012) (0)
Contemporary Mathematics Experimental computation with oscillatory integrals (2009) (0)
[V.] The Ratio of the Diameter of any Circle to its Circumference is One [That is, is The Same for All Circles]. (2004) (0)
Maximality of Monotone Operators in General Banach Space (2006) (0)
Solution to Monthly Problem 11650 (2012) (0)
On lattice sums and Wigner limits | NOVA. The University of Newcastle's Digital Repository (2014) (0)
Solution to Monthly Problem 11410 (2009) (0)
Lattice Sums Then and Now: Appendix (2013) (0)
Reviews of Convex Analysis and Nonlinear Optimization, Links and Addenda (2005) (0)
Two variants of Sylvester's theorem (1979) (0)
The Princeton companion to mathematics (book review) (2009) (0)
Ring of invariants and eigenvalues (2001) (0)
A One Perturbation Variational Principle and Applications Dedicated to Academician Petar Kenderov on the occasion of his sixtieth birthday (2004) (0)
Lattice Sums Then and Now: References (2013) (0)
Numerical and Computational Mathematics (at the undergraduate level) (2000) (0)
Wallis. Computation of π by Successive Interpolations (2004) (0)
Mathematical publication on the Web (1998) (0)
Barriers and Legendre functions (2010) (0)
ABSTRACTS Post-Pareto approach in Multiobjective Optimal Control of Parabolic Systems (2016) (0)
The Legacy of Mahler (2014) (0)
Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson (2016) (0)
Solution to Problem 11275 (2007) (0)
Convex Functions: Constructions, Characterizations and Counterexamples: Duality between smoothness and strict convexity (2010) (0)
The recent patenting of Pi: a troubling precedent (2014) (0)
A Computational Mathematics View of Space, Time and Complexity (2017) (0)
Differentiability of cone-monotone functions in Banach spaces (2003) (0)
Copulas with maximum entropy (2010) (0)
Wallis. Computation of π by Successive Interpolations (1655) (2000) (0)
A survey of subdifferential calculus with applications (addendum) (2002) (0)
Math: What's New, What's Possible, What's Coming Math: What's New, What's Possible, What's Coming (2007) (0)
Die wichtigste Funktion in der Mathematik (2011) (0)
Vorsicht! Gefahr beim Gebrauch des Computers! (2011) (0)
Der Computer kennt mehr Mathematik als Sie (2011) (0)
Was ist die billiardste Dezimalstelle von π (2011) (0)
Was ist diese Zahl (2011) (0)
The extended ring of invariants (2001) (0)
Eigenvalues for regular elements (2001) (0)

This paper list is powered by the following services:

Other Resources About Jonathan Borwein

What Schools Are Affiliated With Jonathan Borwein?

Jonathan Borwein is affiliated with the following schools:

Jonathan Borwein's Academic­Influence.com Rankings

Jonathan Borwein's Degrees

Why Is Jonathan Borwein Influential?

Jonathan Borwein's Published Works

Published Works

Other Resources About Jonathan Borwein

What Schools Are Affiliated With Jonathan Borwein?

Jonathan Borwein's AcademicInfluence.com Rankings