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A Critique of the Mathematical Abilities of CA Systems by Michael Wester
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The capabilities of 7 major general purpose CASs are reviewed on 542 short problems
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Hidden verification for computational mathematics by Hanne Gottliebsen, Tom Kelsey and Ursula Martin
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The power of computational logic of computer algebra systems shielding the users from its complexity
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The Power Behind Maths by Samir Khan
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From the long list of new capabilities in Maple 8, users have already picked some of their favourites
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Review of Maple 7 by David I. Graham
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Review of Maple 7
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Review of Maple 6 by Nigel Backhouse
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Review of Maple 6
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Review of Maple V Release 5 by Nigel Backhouse
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Review of Maple 6 Release 5
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On Computing Limits in a Symbolic Manipulation System by Dominik Gruntz
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An algorithm for computing (one-sided) limits within a symbolic manipulation system
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Almost All Software Testing Is Futile! by Mike Holcombe and Florentin Ipate
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A new method for generating test cases can provide a more convincing approach to the problem of detecting ALL faults
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Differential Equations with Maple by Martin Ward
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Solving ODEs using Maple
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Multisectioning, Rational Poly-Exponential Functions and Parallel Computation. by Kevin Hare
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Techniques of deriving new recursion formulae; some Maple bugs
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The Maple Dictionary with Examples by John V. Matthews, III
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Maple V vocabulary
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Meta-heuristics for Circuit Partitioning in Parallel Test Generation by C. Gil, J. Ortega, A.F. Diaz, M.G. Montoyan
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Simulated Annealing and Genetic Algorithms are applied to the graph partitioning problem
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Birth of a Thinking Machine by Michael A. Hiltzik
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CYC by Douglas Lenat - the most sophisticated artificial intelligence system
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The Integrator by
Wolfram Research, Inc.
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The power to do integrals as the world has never seen before
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Reverse Engineering Calculator
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Identification of real numbers
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World of Mathematics by Eric Weisstein
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Encyclopedia of mathematics
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CECM - Centre for Experimental and Constructive Mathematics
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Explore & promote the interplay of conventional mathematics with modern computation & communication in the math sciences
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Automatic Calculus and Polynomials
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Enter your function to get your calculus derivative
or integral with each step explained, automatically and fast.
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Isolating CauseEffect Chains from Computer Programs by Andreas Zeller
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Prototype implementation successfully isolated
the cause-effect chain for a failure of the GNU C compiler |
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TestEra: A Novel Framework for Automated Testing of Java Programs
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TestEra’s analyses of several case studies
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Using TestEra to Check the Intentional Naming System of Oxygen
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The flaws TestEra identified in the Intentional Naming System
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Another look at computability by Florentin Ipate and Mike Holcombe
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An elegant general approach to the question of classifying computational models
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Zero-testing, witness conjectures and differential diophantine approximatio by Joris van der Hoeven
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Witness conjectures, which propose reasonable lower bounds for non zero constants
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The function wizard project: Computer Algebra Handbook of Special Functions by E.S. Cheb-Terrab
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The power of computational logic of computer algebra
systems shielding the users from its complexity
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ANTabu - enhanced version
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An ants system algorithm for the quadratic assignment problem
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Korat: Automated Testing Based on Java Predicates
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This paper presents Korat, a novel framework for automated testing of Java programs
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Ordinary differential equations and Dynamical Systems by Gerald Teschl
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An introduction to ordinary differential equations and dynamical systems
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Asymptotic Expansions with Oscillating Coefficients by Bruno Salvy and John Shackell
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Symbolic asymptotics of trigonometric and other oscillating functions
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Hypergeometric Type Functions and Their Applications by Gennady Lyakhovetsky (in Russian)
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An algorithm for Meijer G function and other results
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Ein Programm zur symbolischen Diskussion reeller elementarer Funktionen by M. Cohrs, E. H. A. Gerbracht, W. Struckmann
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Die Diskussion elementarer Funktionen spielt in der Schulmathematik und jeder einfuhrenden Analysisvorlesung
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Large Scale Symbolic Programming with GiNaC by Alexander Frink, Christian Bauer, Richard Kreckel
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Large scale projects tend to become maintainable via GiNaC's fundamental symbolic facilities in the C++ programming language
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On competitive on-line algorithms for the dynamic priority-ordering problem by G. Ramalingam and Thomas Reps
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There exists no algorithm for the dynamic priority-ordering
problem that has a constant competitive ratio
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On The Divergence Of The Rogers-Ramanujan Continued Fraction On The Unit Circle by D. Bowman and J. Mc Laughlin
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An intensive study of the convergence of the Rogers-Ramanujan continued fraction.
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Maple on the Intel Paragon by Laurent Bernardin
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A higher level model of parallel processing based on the manager-worker scheme
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On Stirling numbers and Euler sums by Victor Adamchik
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Yet another generalization of Stirling numbers of the first kind for non-integer values of their arguments
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A Class of Series Acceleration Formulae for Catalan's Constant by David M. Bradley
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Transformation formulae and expansions for the log tangent integral
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Creative Telescoping and Applications by Frederic Chyzak
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A method to compute definite sums and integrals
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A survey of nonabsolute integration by Erik Talvila
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Why we need nonabsolute integrals
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Analysis of a Web User Interface for Mathematics: Experiences with Integral Queries for TILU by R. Fateman and T. James
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Improvements in the computer-human interaction
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A Certain Series Associated With Catalan’s Constant by Victor Adamchik
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A parametric class of series generated by integration of complete elliptic integrals is evaluated in closed form
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Simplifying Square Roots of Square Roots by Denesting by David J. Jeffrey and Albert D. Rich
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Some of the steps that developers must take when writing computer algebra systems
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PRIMES is in P by Manindra Agrawal, Neeraj Kayal and Nitin Saxena
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A deterministic polynomial-time algorithm that determines whether an input number n is prime or composite
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Symbolic-Numeric Algebra for Polynomials - SNAP 96
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Problems involving polynomials with inexactly-known coefficients
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Comparison Of Mathematical Programs For Data Analysis by Stefan Steinhaus
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Facts about mathematical programming languages
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Wavelets by Gilbert Strang
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How did Mozart write it all down?
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Wavelets For Kids by Brani Vidakovic and Peter Meuller
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A Tutorial Introduction
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Medical Devices: The Therac-25 by Nancy Leveson
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A detailed investigation of a massive overdose accident in a computer-controlled radiation therapy Therac-25 machine
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The Importance of Being Continuous by David J. Jeffrey
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Architects! Remmeber, technically, it is always incorrect to quote
a formula without specifying the interval on which it applies...
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Curing The Andrews Syndrome by Shalosh B. Ekhad and Doron Zeilberger
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The rivalry between the classical and automated approaches to hypergeometric sums is beneficial to both
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Some Divergent Trigonometric Integrals by Erik Talvila
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How these divergent integrals ended up in a respectable table?
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Rapidly Growing Fourier Integrals by Erik Talvila
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When the integral is allowed to converge conditionally, the asserted
asymptotic behavior can fail dramatically
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Necessary and Sufficient Conditions for Differentiating Under the Integral Sign by Erik Talvila
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Necessary and sufficient conditions for differentiating under the integral sign
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The Poster The Mathematical Functions of Mathematica by Oleg Marichev and Michael Trott
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Five nice Mathematica posters
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The Geometer’s Workbench: An Experiment in Interacting with a Large, High Res Display by F.Guimbretiere and T.Winograd
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Bridging the gap between casual whiteboard interaction and the more formal use of a tool like Mathematica
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Hypergeometric Function Representations by Kelly Roach
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An algorithm for computing formula representations of instances of the generalized hypergeometric function
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Meijer G Function Representations by Kelly Roach
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An algorithm for computing formula representations of instances of the Meijer G function
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Some Series Of The Zeta And Related Functions by Victor S. Adamchik and H.M. Srivastava
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Yet another approach to the problem of summation of series involving the Riemann Zeta and kindred functions
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Derivatives of the Hurwitz Zeta Function for Rational Arguments by Jeff Miller And Victor S. Adamchik
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The functional equation for the Hurwitz Zeta function is used to obtain formulas for derivatives at negative odd s
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The Evaluation Of Integrals Of Bessel Functions Via G-Function Identities
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Transformations for reducing certain cases of Meijer’s G function to a G-function of lower order
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Searching Techniques For Integral Tables by T. H. Einwohner and Richard J. Fateman
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Data structures design and a program for storing a table of symbolic
(in)definite integrals and retrieving user-requested integrals
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Improving Exact Integrals From Symbolic Algebra Systems by Richard J. Fateman and W. Kahan
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Techniques for improving the form of results of symbolic mathematics systems
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Software Test Managers' Roundtable - Los Altos Workshop on Software Testing
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A forum for sharing insights about the management of software testing
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Writing Effective Use Cases by Alistair Cockburn
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A guidelines on writing effective use cases
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Software Fault Prevention by Language Choice: Why C is Not My Favorite Language by Richard Fateman
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How reliability might be affected by changing the language
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Branch Cuts in Computer Algebra by Adam Dingle and Richard Fateman
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How one can manipulate, in a useful fashion, functions cannot be defined continuously on the complex plane
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Function evaluation on branch cuts by Albert D. Rich and David J. Jeffrey
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The Kahan's counter clockwise continuity principle is discussed
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Integration of the signum, piecewise and related functions by D.J. Jeffrey, G. Labahn, M. v. Mohrenschildt, and A.D. Rich
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Algorithms for evaluating integrals of compositions of continuous functions and signum functions
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Well...It isn't Quite That Simple by Robert M. Corless and David J. Jeffrey
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If we expect our computer algebra systems to help us do analysis,
these qualifications and provisions are essential
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How fast can we compute products? by V. Kislenkov, V. Mitrofanov, and E. Zima
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Speed improvements for computation of n-ary products, for large n,
over arbitrary precision integer or rational number domains
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Recursive Integration Of Piecewise-Continuous Functions by D.J. Jeffrey and Albert D. Rich
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An algorithm for the integration of a class of piecewise-continuous functions
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A Review of Macsyma by Richard J. Fateman
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Successes and failures of the Macsyma algebraic manipulation system from
the point of view of one of the original contributors
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For more information visit