Why Is Jonathan Borwein Influential?
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.
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
1980 1990 2000 2010 2020 0 250 500 750 1000 1250 1500 1750 2000 2250 2500 2750 3000 3250 Published Papers Two-Point Step Size Gradient Methods On Projection Algorithms for Solving Convex Feasibility Problems Convex analysis and nonlinear optimization : theory and examples (965) Convex Analysis And Nonlinear Optimization Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity Pi and the AGM Modular Equations and Approximations to π Techniques of variational analysis (389) Mathematics by experiment - plausible reasoning in the 21st century Special values of multiple polylogarithms Proper Efficient Points for Maximizations with Respect to Cones Legendre functions and the method of random Bregman projections (282) Partially finite convex programming, Part I: Quasi relative interiors and duality theory Convex Functions: Constructions, Characterizations and Counterexamples A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions On the convergence of von Neumann's alternating projection algorithm for two sets Duality relationships for entropy-like minimization problems ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES Bregman Monotone Optimization Algorithms A cubic counterpart of Jacobi’s identity and the AGM Experimentation in mathematics - computational paths to discovery Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k Explicit evaluation of Euler sums Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization Stability and regular points of inequality systems Computational strategies for the Riemann zeta function Super efficiency in vector optimization Dykstra's Alternating Projection Algorithm for Two Sets Convergence of Best Entropy Estimates Experimental Evaluation of Euler Sums Some cubic modular identities of Ramanujan Pseudo-Mathematics and Financial Charlatanism: The Effects of Backtest Overfitting on Out-of-Sample Performance Regularizing the Abstract Convex Program The method of cyclic projections for closed convex sets in Hilbert space Ramanujan, modular equations, and approximations to Pi or how to compute one billion digits of Pi Experimental Mathematics in Action High-precision computation: Mathematical physics and dynamics On the Existence of Pareto Efficient Points Facial reduction for a cone-convex programming problem Dictionary of mathematics Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps Elliptic integral evaluations of Bessel moments A survey of subdifferential calculus with applications Partially-Finite Programming in L1 and the Existence of Maximum Entropy Estimates Maximal Monotonicity via Convex Analysis (108) Combinatorial Aspects of Multiple Zeta Values On an intriguing integral and some series related to (4) The geometry of Pareto efficiency over cones Evaluation of Triple Euler Sums Continuity and Differentiability Properties of Convex Operators The SIAM 100-Digit challenge: a study in high-accuracy numerical computing Notions of Relative Interior in Banach Spaces Projection algorithms and monotone operators (96) The Probability of Backtest Overfitting Existence of nearest points in Banach spaces Krasnoselski-Mann Iterations in Normed Spaces The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions Partially finite convex programming, Part II: Explicit lattice models Multivalued convexity and optimization: A unified approach to inequality and equality constraints Proximal analysis and boundaries of closed sets in Banach space, Part I: theory The Life of Pi Cubic analogues of the Jacobian theta function θ(z,q) Pi: A Source Book Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity The quest for PI The differentiability of real functions on normed linear space using generalized subgradients Convergence of lattice sums and Madelung’s constant Joint and Separate Convexity of the Bregman Distance Integrals of the Ising Class Central Binomial Sums, Multiple Clausen Values, and Zeta Values CLOSED FORMS: WHAT THEY ARE AND WHY WE CARE The evaluation of character Euler double sums The Douglas-Rachford Algorithm in the Absence of Convexity Entropy minimization, DAD problems, and doubly stochastic kernels Adjoint Process Duality Fifty years of maximal monotonicity Survey of subdifferential calculus with applications A Lagrange multiplier theorem and a sandwich theorem for convex relations Experimental Mathematics: Examples, Methods and Implications (65) On the convergence of moment problems Lattice Sums Then and Now (64) Setting the Default to Reproducible Reproducibility in Computational and Experimental Mathematics (63) The proximal normal formula in Banach space Thirty-two Goldbach Variations Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems Nonsmooth calculus in finite dimensions A NOTE ON "-SUBGRADIENTS AND MAXIMAL MONOTONICITY Essentially Smooth Lipschitz Functions Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative Characterization of optimality for the abstract convex program with finite dimensional range Some Remarkable Properties of Sinc and Related Integrals Maximality of sums of two maximal monotone operators in general Banach space Proximal analysis in smooth spaces Densities of Short Uniform Random Walks A Cyclic Douglas–Rachford Iteration Scheme Emerging Tools for Experimental Mathematics Proximal analysis and boundaries of closed sets in Banach space Part II: applications Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind Ten Problems in Experimental Mathematics Global convergence of a non-convex Douglas–Rachford iteration Characterizations of optimality without constraint qualification for the abstract convex program Giuga's Conjecture on Primality High-precision arithmetic in mathematical physics Some arithmetic properties of short random walk integrals DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS On Fan's minimax theorem Making Sense of Experimental Mathematics (51) Class number three Ramanujan type series for 1/p Second order differentiability of convex functions in Banach spaces Epi-lipschitz-like sets in banach space: theorems and examples Compactly epi-Lipschitzian convex sets and functions in normed spaces (49) On the complexity of familiar functions and numbers Direct reconstruction of functional parameters for dynamic SPECT Fitzpatrick Functions and Continuous Linear Monotone Operators A characterization of quasiconvex vector-valued functions Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems Necessary conditions for constrained optimization problems with semicontinuous and continuous data The Linear Order Complementarity Problem Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties (46) Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy Lattice Sums Then and Now: Index SIAM: “Setting the Default to Reproducible” in Computational Science Research (45) The Computer as Crucible: An Introduction to Experimental Mathematics Experimental Mathematics: Recent Developments and Future Outlook Empirically Determined Apéry-Like Formulae for ζ(4n+3) Conjugate convex operators Fixed point iterations for real functions On convex functions having points of Gateaux differentiability which are not points of Fréchet differentiability On difference convexity of locally Lipschitz functions A Characterization of Bregman Firmly Nonexpansive Operators Using a New Monotonicity Concept (43) Parametric Euler sum identities Uniformly convex functions on Banach spaces An EM algorithm for dynamic SPECT Necessary and sufficient conditions for quadratic minimality Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets Exploratory Experimentation and Computation Mosco convergence and reflexivity Pi, Euler numbers, and asymptotic expansions Inequalities for compound mean iterations with logarithmic asymptotes Highly Parallel, High-Precision Numerical Integration (39) Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality Experimentation in Mathematics Analysis of certain lattice sums Integer Powers of Arcsin Effective Laguerre Asymptotics MOSCO CONVERGENCE AND THE KADEC PROPERTY Special Values of Multidimensional Polylogarithms (37) Tools and mathematics, instruments for learning Norm duality for convex processes and applications Strange series and high precision fraud Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators Uniform Bounds for the Complementary Incomplete Gamma Function Weak tangent cones and optimization in a Banach space | NOVA. The University of Newcastle's Digital Repository High-precision numerical integration: Progress and challenges Decomposition of multivariate functions A nonconvex separation property in Banach spaces A simple constraint qualification in infinite dimensional programming Ramanujan and Pi A dual approach to multidimensional L p spectral estimation problems Minimal convex uscos and monotone operators on small sets Evaluations of binomial series On the Representations of xy + yz + ZX Neverending Fractions: An Introduction to Continued Fractions (33) Three-Step and Four-Step Random Walk Integrals Direct theorems in semi-infinite convex programming Strong Rotundity and Optimization The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof Copulas with maximum entropy Experimental Determination of Apéry-like Identities for ς(2n + 2) Null Sets and Essentially Smooth Lipschitz Functions A Proof of a Recurrence for Bessel Moments Super efficiency in convex vector optimization Surprising Sinc Sums and Integrals Hypergeometric Forms for Ising-Class Integrals Communicating Mathematics in the Digital Era Walking on Real Numbers On the Generating Function of the Integer Part: [nα + γ] Infimal convolutions and lipschitzian properties of subdifferentials for prox-regular functions in hilbert spaces (30) Proximality and Chebyshev sets A Survey of Examples of Convex Functions and Classifications of Normed Spaces On the Khintchine constant Weak* sequential compactness and bornological limit derivatives (29) Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem An Empirical Approach to the Normality of π The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems (29) The computation of previously inaccessible digits of π² and Catalan's constant The Harpercollins Dictionary Of Mathematics (28) Special values of generalized log-sine integrals Energy of static electron lattices Generalized subdifferentials: a Baire categorical approach Directionally Lipschitzian mappings on Baire spaces Non-expansive mappings on Banach lattices and related topics (28) Generalized linear complementarity problems treated without fixed-point theory Direct reconstruction of functional parameters for dynamic SPECT A Weak Hadamard Smooth Renorming of L 1(Ω, μ) Local boundedness of monotone operators under minimal hypotheses Convex Functions: Constructions, Characterizations and Counterexamples: References A Proof of a Recursion for Bessel Moments (26) Applications of integer relation algorithms The Way of All Means Stability of closedness of convex cones under linear mappings II (26) Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions (25) Lattice sums arising from the Poisson equation Exploratory Experimentation: Digitally-Assisted Discovery and Proof Separable determination of integrability and minimality of the Clarke subdifferential mapping Differentiability of cone-monotone functions on separable Banach space Computation and theory of extended Mordell-Tornheim-Witten sums On the Bartle-Graves theorem High-Precision Computation and Mathematical Physics Advances in the theory of box integrals Hand-to-hand combat with thousand-digit integrals On Dirichlet Series for Sums of Squares Maximum entropy reconstruction using derivative information part 2: computational results A note on regularity of sets and of distance functions in Banach space Hilbert's Inequality and Witten's Zeta-Function Epigraphical and Uniform Convergence of Convex Functions LOG-SINE EVALUATIONS OF MAHLER MEASURES Subgradient representation of multifunctions PSEUDO MATHEMATICS AND FINANCIAL CHARLATANISM: BACKTEST OVERFITTING AND OUT-OF-SAMPLE PERFORMANCE (22) Convex functions on Euclidean spaces A remarkable cubic mean iteration Functional Equations and Distribution Functions Computer-Assisted Discovery and Proof A note on perfect duality and limiting lagrangeans Affine Weyl groups Variational Methods in Convex Analysis The hypertangent cone Mathematics by Experiment and Experimentation in (20) Sandwich Theorems for Semicontinuous Operators Lipschitz functions with prescribed derivatives and subderivatives On the Equivalence of Some Basic Principles in Variational Analysis Symbolic Fenchel Conjugation Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres The limiting Lagrangian as a consequence of Helly's theorem Facilitating Reproducibility in Scientific Computing: Principles and Practice The Range of the Gradient of a Continuously Differentiable Bump (19) Mosco and slice convergence of level sets and graphs of linear functionals Mahler measures, short walks and log-sine integrals Hypergeometric analogues of the arithmetic-geometric mean iteration Densities of short uniform random walks in higher dimensions SEMI-INFINITE PROGRAMMING DUALITY: HOW SPECIAL IS IT? Absolute norms on vector lattices Entropic Regularization of the ℓ 0 Function Subdifferentials Whose Graphs Are Not Norm × Weak* Closed Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence Fractional programming without differentiability Finding and Excluding b-ary Machin-Type Individual Digit Formulae On the Ramanujan AGM Fraction, II: The Complex-Parameter Case Maximum entropy methods for generating simulated rainfall The Hausdorff metric andCˇebysˇev centres Lattice Sums Then and Now: Lattice sums Implications of Experimental Mathematics for the Philosophy of Mathematics Characterization of Clarke subgradients among one-dimensional multifunctions (18) Refined Convexity and Special Cases of the Blaschke-Santalo Inequality Reflection methods for inverse problems with applications to protein conformation determination Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links (17) Brouwer-Heyting Sequences Converge A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy Banach spaces that admit support sets Automatic continuity and openness of convex relations Multi-Variable Sinc Integrals and Volumes of Polyhedra Locally Lipschitz Functions and Bornological Derivatives (17) A Chain Rule for Essentially Smooth Lipschitz Functions A Survey of Convergence Results for Maximum Entropy Methods Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE (16) Nested radicals Log-Sine Evaluations of Mahler Measures, II Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant On the Ramanujan AGM Fraction, I: The Real-Parameter Case I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly On lattice sums and Wigner limits Euler-Boole Summation Revisited Convergence of Madelung-like lattice sums Ramanujan, modular equations and pi or how to compute a billion digits of pi (15) Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy Lipschitz functions with maximal Clarke subdifferentials are generic Multifunctional and functional analytic techniques in nonsmooth analysis Gamma and Factorial in the Monthly Subgradients of convex operators A survey of results relating to Giuga's conjecture on primality Finding and Excluding b-ary Machin-Type BBP Formulae (15) On the method of cyclic projections for convex sets in Hilbert space (15) On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics On Eulerian log-gamma integrals and Tornheim–Witten zeta functions Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series Lp Norms and the Sinc Function Constructible Convex Sets Elliptic integral representation of Bessel moments (13) Convex Functions of Legendre Type in General Banach Spaces (13) Nonnormality of Stoneham constants The Life of π: From Archimedes to ENIAC and Beyond Tools and Mathematics (13) Higher-Dimensional Box Integrals An Introduction to Modern Mathematical Computing: With Mathematica® On the Ramanujan AGM fraction . Part II : The complex-parameter case (13) Elliptic integral evaluation of the Gamma function at rational values of small denominator (13) Norm convergence of realistic projection and reflection methods Conical open mapping theorems and regularity (13) Completeness and the contraction principle Recent Results on Douglas–Rachford Methods (13) Partially smooth variational principles and applications On supportless convex sets Normal Numbers and Pseudorandom Generators Automated simplification of large symbolic expressions A very complicated proof of the minimax theorem (12) A convex dual approach to the computation of NMR complex spectra Computation of π by Successive Interpolations Variational analysis in nonreflexive spaces and applications to control problems with L 1 perturbations Differentiability of conjugate functions and perturbed minimization principles (12) Effective Error Bounds in Euler-Maclaurin-Based QuadratureSchemes The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems Distinct differentiable functions may share the same Clarke subdifferential at all points | NOVA. The University of Newcastle's Digital Repository Convergence of Lipschitz Regularizations of Convex Functions Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type The Brezis–Browder Theorem in a general Banach space Experimental Mathemataics: Examples, Methods and Implications - eScholarship (12) A strong duality theorem for the minimum of a family of convex programs On the Ramanujan AGM fraction . Part I : The real-parameter case (11) Cubic Analogues Of The Jacobian Theta Function (11) Structure Theory for Maximally Monotone Operators with Points of Continuity Spectral Estimation Via Convex Programming Opinion: set the default to "open" (11) On the dynamics of certain recurrence relations Fast heuristic methods for function reconstruction using derivative information Empirically Determined Apéry-like Formulae for Zeta(4n+3) (11) Applications of convex analysis within mathematics Resolution of the Quinn–Rand–Strogatz Constant of Nonlinear Physics Maximality of sums of two maximal monotone operators A note on alternating series in several dimensions Computation and theory of Mordell-Tornheim-Witten sums II Variational methods in the presence of symmetry Number Theory and Related Fields, In Memory of Alf van der Poorten Maximum entropy and feasibility methods for convex and nonconvex inverse problems The range of the gradient of a LipschitzC1-smooth bump in infinite dimensions On the Ramanujan AGM fraction (10) Computer Discovery and Analysis of Large Poisson Polynomials Fréchet-Legendre functions and reflexive Banach spaces (10) Weak local supportability and applications to approximation Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi Meetings with Lambert W and Other Special Functions in Optimization and Analysis (10) Derivatives and fast evaluation of the Tornheim zeta function On the Hahn-Banach extension property Searching symbolically for Ape´ry-like formulae for values of the Riemann zeta function Expectations on fractal sets A note on the existence of subgradients An Introduction to Modern Mathematical Computing Conditions for zero duality gap in convex programming (10) Explicit Ramanujan-type approximations to pi of high order Maximal Monotone Inclusions and Fitzpatrick Functions Recent progress on Monotone Operator Theory Cone-Monotone Functions: Differentiability and Continuity Addition theorems and binary expansions Approximate subgradients and coderivatives in Rn SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV) Two kinds of normality in vector optimization Boundedness, differentiability and extensions of convex functions (9) Surprise Maximization A Variational Approach to Lagrange Multipliers Measurement of a Circle Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal Alternative Theorems for General Complementarity Problems Algebraic dynamics of certain Gamma function values Convex spectral functions of compact operators (9) Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces The stability analysis of dynamic SPECT systems Cubic and Higher Order Algorithms for π Continued Fractions of Tails of Hypergeometric Series Searching symbolically for Apery-like formulae for values of the Riemann zeta function (9) Antiproximinal Norms in Banach Spaces On some trigonometric and exponential lattice sums High-Precision Arithmetic : Progress and Challenges (8) Journal of Convex Analysis (8) PSLQ: An Algorithm to Discover Integer Relations On the Solution of Linear Mean Recurrences A generalization of Young's ℓ p inequality On the continuity of biconjugate convex functions A Dictionary of Real Numbers Some results on the convexity of the closure of the domain of a maximally monotone operator Compressed lattice sums arising from the Poisson equation Challenges in mathematical computing Knowledge and community in mathematics On the mean iteration (a,b) ← (a+3b/4, √ab+b/2) A multivalued approach to the Farkas lemma Convex functions on Banach spaces not containing ℓ1 A Class of Dirichlet Series Integrals Limiting convex examples for nonconvex subdifferential calculus (7) Mathematical Appendices to: 'The Probability of Backtest Overfitting' Generic differentiability of order-bounded convex oparators On generic second-order Gateaux differentiability Some Inequalities Involving Statistical Expressions (L. V. Foster) For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint (7) Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces Metric regularity, strong CHIP, and CHIP are distinct properties (7) Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator A very rapidly convergent product expansion for π Lipschitz functions with minimal Clarke subdifferential mappings (7) Legendre-type integrands and convex integral functions (7) Elliptic integral evaluations of Bessel moments and applications (7) Convex Cones, Minimality Notions, and Consequences Continuous Linear Monotone Operators on Banach Spaces (7) The evaluation of Bessel functions via exp-arc integrals Quadratic Convergence of the Tanh-sinh Quadrature Rule (7) ASPLUND DECOMPOSITIONS OF MONOTONE OPERATORS Asplund Decomposition of Monotone Operators How many matrices have roots A chain rule for essentially strictly differentiable Lipschitz functions (6) A note on the Farkas lemma (6) Backtest Overfitting in Financial Markets (6) Log-sine evaluations of Mahler measures, Part I. (6) Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics A Sinc that Sank Lipschitz functions with maximal Clarke subdifferentials are staunch More quadratically converging algorithms for p Relations for Nielsen polylogarithms Experimental Mathemataics: Examples, Methods andImplications (6) I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings The range of the gradient of a Lipschitz C¹-smooth bump in infinite dimensions | NOVA. The University of Newcastle's Digital Repository (6) Symbolic computation of multidimensional Fenchel conjugates Moments of the Poisson Distribution: 10738 Advances in the theory of box integrals Computation and Experimental Evaluation of Mordell–Tornheim–Witten Sum Derivatives A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS Approximations to π via the Dedekind eta function (6) Entropy minimization with lattice bounds Organic mathematics: then and now Some Generalizations of Carathéodory′s Theorem Via Barycentres, with Application to Mathematical Programming Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) Experimental Determination of Apery-Like Identities for Zeta(2n+2) (5) Experimental mathematics and mathematical physics An EM-algorithm for dynamic SPECT tomography (5) Generalized Trigonometric Functions: 10744 Strange series evaluations and high precision fraud (5) Experimental mathematics and computational statistics On the mean iteration (,)←((+3)/4,(√+)/2) On the Construction of Hölder and Proximal Subderivatives Constructions of Uniformly Convex Functions Euclidean reflection groups Aesthetics for the Working Mathematician Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions Hand-to-hand combat with multi-thousand-digit integrals. (5) On Two Fundamental Identities For Euler Sums (5) Random Walks in the Plane (5) Approximating $\pi$ with Ramanujan's solvable modular equations The “indexed” theorem Densities of short random uniform walks (5) Tangent cones, starshape and convexity Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title Effective Error Bounds in Euler-Maclaurin-Based Quadrature Schemes Permalink (5) Duality and Convex Programming Numerical Assessment of the Stability of Reconstruction Processes for Computed Tomography (4) Future Prospects for Computer-Assisted Mathematics (4) The (Digital) Life of Pi (4) Nonexpansive mappings on Banach lattices (4) Pi: The Next Generation Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance Digitally-Assisted Discovery and Proof (4) Some Generic Results on Nonattaining Functionals Mathematical Knowledge Management, 5th International Conference, MKM 2006, Wokingham, UK, August 11-12, 2006, Proceedings Generalisations, Examples, and Counter-examples in Analysis and Optimisation Stock Portfolio Design and Backtest Overfitting Computation and stability analysis for regularized tomographic reconstructions Convex Programs and Their Closures. (4) Experimental Mathematics: A Discussion (4) An Introduction to Modern Mathematical Computing: With Maple™ Modelling and simulation of seasonal rainfall Super-efficient in vector optimization (4) Dynamics of generalizations of the AGM continued fraction of Ramanujan. Part I: divergence. (4) The Converse of the Mean Value Theorem May Fail Generically The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe) An explicit non-expansive function whose subdifferential is the entire dual ball Continued Logarithms and Associated Continued Fractions Cancellation characterizes convexity (3) Second Order Cones for Maximal Monotone Operators via Representative Functions On the mean iteration $ (a,b)\rightarrow((a+3b)/4,(\surd ab+b)/2)$ (3) Further arguments for slice convergence in nonreflexive spaces Evaluation and Ranking of Market Forecasters Convex analysis in groups and semigroups: a sampler Dynamic Composition of Math Lessons (3) An explicit cubic iteration for π Pi Day is upon us again and we still do not know if Pi is normal A note on Fritz John sufficiency Multimedia Tools for Communicating Mathematics Uniform convergence for moment problems with Fermi-Dirac type entropies On the Khinchin Constant (3) Dynamics of a continued fraction of Ramanujan with random coefficients Loving and Hating Mathematics by Reuben Hersh and Vera John-Steiner Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06) Duality inequalities and sandwiched functions A survey on renorming and set convergence The Greatest Mathematical Discovery THREE ADVENTURES : SYMBOLICALLY DISCOVERED IDENTITIES FOR ZETA ( 4 N + 3 ) AND LIKE MATTERS (3) Some remarks on convex analysis in topological groups (3) DUALITY IN TAILS OF MULTIPLE-ZETA VALUES Online Tools for Demonstration of Backtest Overfitting Duality and convex programming Advanced Problems: 6491-6492 Generation of simulated rainfall data at different time-scales | NOVA. The University of Newcastle's Digital Repository Visibility and Starshape Problems: 10330-10337 The Geometry of Pareto optimality (2) An integral characterization of Euclidean space Approximations to Pi via the Dedekind eta function (2) Ergodic behaviour of a Douglas-Rachford operator away from origin (2) Explicit Algebraic Nth Order Approximations to PI A General Sum Theorem for Maximality of Monotone Operators (2) Neverending Fractions: Metric theory of continued fractions The direct method in semi-infinite programming (2) Monotone operators and "bigger conjugate" functions (2) Some Remarks on Visibility and Starshape Tools for visualizing real numbers : Planar number walks (2) A short walk can be beautiful Closed forms: What they are and why they matter (2) On strongly exposing functionals Closed convex Haar null sets (2) Some remarks on a paper of Cobzas on antiproximal sets (2) A Variation on the Banach-Dieudonne Theorem with Application to Maximal Monotone Operators (2) Asymptotics of a sequence of Witt vectors Local Lipschitz-constant Functions and Maximal Subdifferentials Organic mathematics : proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University, Burnaby, British Columbia (2) Fenchel-duality and separably-infinite programs Mathematical Circles: A Selection of Mathematical Stories and Anecdotes Remote Collaboration Monochrome Lines in the Plane Experimental Mathematics in the Society of the Future Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results (2) Future Challenges for Variational Analysis Non-smooth analysis, optimisation theory and Banach space theory Generalized Continued Logarithms and Related Continued Fractions (2) Experimental Mathematics and Mathematical Physics Architecture to support dynamic composition of math lesson plans Hypergeometric analogues of the AGM iteration (2) Derivative and fast evaluation of the witten Zeta function (2) Dynamics of Random Continued Fractions (2) Exploratory experimentation in mathematics: Selected works (2) A Class of Exponential Inequalities Experimental mathematics leads to new insights (1) On the Khintchine constant | NOVA. The University of Newcastle's Digital Repository (1) Dirichlet series for squares of sums of squares: A summary Maths matters: exploratory experimentation: digitally-assisted discovery and proof (1) Introduction: Reflection groups and invariant theory The Erdős–Moser equation CHECKERBOARD COPULAS OF MAXIMUM ENTROPY WITH PRESCRIBED MIXED MOMENTS Assessment of the performance of reconstruction processes for computed tomography The Impact of Technology on the Doing of Mathematics (1) Finding New Mathematical Identities with Supercomputers (1) On the nondifferentiability of cone-monotone functions in Banach spaces The Coast-to-Coast Seminar and Remote Mathematical Collaboration A C¹-function that is even on a sphere and has no critical points in the ball (1) MATH HONOURS: MULTIPLE ZETA VALUES (1) Advanced Problems: 6430-6435 Coast-to-Coast Seminar: Background, History, and Practice (1) Monotone Operators Without Enlargements Experimental mathematics (editorial) (1) Experimental computation with oscillatory integrals The Rhind Mathematical Papyrus-Problem 50 ( ~ 1650 B.C.) The Princeton companion to mathematics (book review) (1) Some modular identities of Ramanujan useful in approximating π Proceedings of the 5th international conference on Mathematical Knowledge Management (1) A $C^1$ function even on the sphere with no critical point in the ball (1) Solution to Monthly Problem 11277 Managing Digital Mathematical Discourse Weak local supportability, generic Gateaux differentiability and applications to approximation in a weakly compactly generated space (1) Viète. Variorum de Rebus Mathematicis Reponsorum Liber VIII (1593) Dynamics of a Ramanujan-type continued fraction with cyclic coefficients Arithmetic-Geometric Means Revisited (1) Problems: 10599-10605 NUMERICAL QUADRATURE: THEORY AND COMPUTATION (1) Norm Convergence of Realistic Reflection and Projection Methods. (1) Who we are and how we got that way Pi, Euler numbers and asymptotic expansions | NOVA. The University of Newcastle's Digital Repository (1) EXPECTATIONS OVER ATTRACTORS OF ITERATED FUNCTION SYSTEMS (1) Normality and the Digits of π (1) I Prefer Pi: Addenda NEAREST POINTS AND DELTA CONVEX FUNCTIONS IN BANACH SPACES Digitally Activated Mathematics for a Brave New World Wide Web (1) Deriving New Sinc Results from Old Constructive Minimal Cuscos (1) Karush-Kuhn-Tucker Theory Postscript: Infinite Versus Finite Dimensions A Prototype for the Federated World Directory of Mathematicians (1) The generalized monotone linear complementarity problem treated without fixed point theory (1) Essentially smooth Lipschitz functions: compositions and chain rules On formulas for π experimentally conjectured by Jauregui–Tsallis Experiments in Mathematics (1) Convex Functions on ``Sequentially Reflexive'' Banach Spaces (1) Experimental Applied Mathematics (1) The probability of back-test over-fitting (1) ON NORM CONVERGENCE OF VON NEUMANN SEQUENCES (0) Correspondence. Ludolph (or Ludolff or Lucius) van Ceulen Wallis. Arithmetica Infinitorum (1655) Walks on real numbers. (0) SIAM REVIEW of of the Princeton Companion to Mathematics edited by Timothy Gowers with June Barrow-Green and Imre Leader, associate editors. (0) The Life of Pi History and Computation (0) Symbolic Fenchel Conjugation In honour of (0) Prepared for MAA Centenary Volume, 2015 (0) Appendix A Selected continued fractions 2 The Backtest Overfitting Demonstration Tool (0) On the Use of the Discovered Factors to Sum Infinite Series Book Review: Set-valued analysis Arithmetica Infinitorum (1655) Irregular continued fractions Local Lipschitz Constants and Maximal Subdifferentials (0) Lattice Sums Then and Now: Angular lattice sums The Classification of crystallographic root systems Differentiability of cone-monotone functions in Banach spaces (0) Eco. An excerpt from Foucault’s Pendulum (1993) Experimental Mathematics and Exact Computation (0) Bilinear forms of Coxeter systems Why are mathematics papers so dull (0) Contemporary Mathematics Experimental computation with oscillatory integrals (0) STRONG ROTUNDITYAND OPTIMIZATION (0) Surprise Maximization Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson (0) Walking on real numbers (2013) The Recent Trademarking of Pi: A Troubling Precedent Reviews of Convex Analysis and Nonlinear Optimization, Links and Addenda (0) Hyperelliptic curves and Somos sequences Neverending Fractions: Some preliminaries from number theory Maximizing Surprise (0) Wallis. Computation of π by Successive Interpolations Algorithms Used in Experimental Mathematics (0) CHAPTER 1 Aesthetics for the Working Mathematician (0) Sandwich theorems for vector valued operators (0) The Fields, Nevanlinna and Abel Awards: Chasing the Mathematical Prize (0) High Performance Mathematics and its Management (0) Eigenvalues for regular elements Do Financial Gurus Produce Reliable Forecasts? Problems: 10274-10281 Lattice Sums Then and Now: Seventy years of the Watson integrals Mahler and Number Theory in Australia (0) Organizing Commitee The legacy of Kurt Mahler The cyclic Douglas-Rachford feasibility method: behaviour on infeasible problems. (0) Discussions of Part I Chapters Mathematical malaises. On formulas for experimentally conjectured by (0) Toward a digital mathematics library ? 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