 Computational & Applied Mathematics @ Penn State
Faculty, Seminars, Graduate Program, Research, Publications, Picture Gallery, Links and more.
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 Computational Complexity (CC)  Birkhäuser Verlag AG, Switzerland
CC presents outstanding research in computational complexity. Its subject is at the interface between mathematics and theoretical computer science, with a clear mathematical profile and strictly mathematical format. You may download a free electronic
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 Computational Geometry  arXiv.org ePrint archive
The computational geometry section of the Computing Research Repository (CoRR), moderated by Joseph O'Rourke. Recent papers.
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 Computational Geometry Code  Jeff Erickson
Links to implementations of geometric algorithms and software. Most of the software is available free of charge. Unless otherwise specified, C or C++ source code is available for all programs. Software libraries and collections and programs that can be
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 The Computational Geometry Impact Task Force Report  Jeff Erickson
In April 1996, Bernard Chazelle's Computational Geometry Impact Task Force published a report entitled "Application Challenges to Computational Geometry" about the relation between computational geometry and various application fields. The report is available
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 Computational Geometry  Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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 Computational Geometry Resources  School of Computer Science, Carleton Univ., Ottawa, Ontario, Canada
A comprehensive listing of computational geometry resources on the Internet, including: Indexes; Centres in North America, Europe, and Australasia; Literature; Newsgroups, FAQs, and Newsletters; Software libraries; and other miscellaneous sites.
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 Computational Mathematics Research Group  University of Brighton
Current areas of research include bubble dynamics, acoustics, diffusion in gels, and space plasmas. Read their bibliography of recent publications.
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 Computational Science Highlights  National Science Foundation Metacenter: Science Highlights
This multimedia collection contains descriptions of some of the 10,000 scientific research projects that have used the resources of National Science Foundation supercomputing centers. The reports range from astronomy to zoology, and include scientific
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 Computation, Computers, and Math Center  Sandia National Laboratories
Research and development in support of a wide variety of programs for the Department of Energy and other customers. A major part of the center works on massively parallel computing, and is located in the Massively Parallel Computing Research Laboratory
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 The computation of certain numbers using the ruler and compass  Simon Plouffe, Journal of Integer Sequences
A method for computing some numbers bit by bit using only the ruler and compass, in particular the construction for arctan(X)/Pi. This method is a spigot algorithm and can be applied to numbers that are constructible over the unit circle and the ellipse.
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 Computation of Discrete Logarithms in Prime Fields  LaMacchia, Odlyzdo; AT&T Bell Laboratories, NJ
The presumed difficulty of computing discrete logarithms in finite fields is the basis of several popular public key cryptosystems. The secure identification option of the Sun Network File System, for example, uses discrete logarithms in a field GF(p)
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 Computer Algebra and Problem Solving Environments  Stanly Steinberg
Abstract for Stanly Steinberg's article in Comparative CAS Reviews and Philosophy, suggesting six ways computer algebra systems could be improved.
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 Computer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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 Computer Science & Mathematics Directory  Israel Science and Technology Homepage; Israel Hanukoglu
Directory listings for academic departments, companies, government agencies, libraries, service centers, associations, and conferences in Israel. Also links to databases and journals. From Israel's national directory of science and technology.
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 Computer Software for Math Education  Math Forum
The Math Forum's page of suggested archives for downloading mathematics software.
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 Computing Minimal Equal Sums Of Like Powers  JeanCharles Meyrignac
A distributedcomputing project on equal sums of like powers, for "all those who are fascinated by powers and integers," and the place to look for the current status of the problem. Download and install Euler2000 to participate.
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 Computing the Hausdorff Measure and Dimension of Fractals Generated by Möbius Transforms  Mark Krosky, Cornell University
An illustrated paper by a Cornell Univ. graduate student. Abstract: Möbius transforms are an important class of conformal maps. By studying fractals they generate, we can gain more information about groups of Möbius transforms. A discussion
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 Conference Board of Mathematical Sciences (CBMS)
The Conference Board of the Mathematical Sciences is an umbrella organization consisting of sixteen professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences.
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 Conformal Maps of Nonsmooth Surfaces and Their Applications  Vladimir M. Miklyukov
"In contrast with classic mathematical analysis that relies on ancient magical rites and overidealized relations, mathematical problems arising from the theory of micro and nanoflows require more real logical constructions such as investigations of functions
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 Consortium to Develop an Intelligent Mathematical Programming System (IMPS)  Harvey Greenberg; Dept. of Mathematics, Univ. of Colorado at Denver
Advances in computing technology have created a situation where we can solve larger problems than we can understand. This is true for most linear programs, and it is becoming increasingly true for nonlinear and integer forms. In addition, model management
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 Constrained and Unconstrained Testing Environment (CUTE)  DCI (UK)
A suite of Fortran subroutines, scripts, and test problems for linear and nonlinear optimization. Its purpose is to provide ways to explore an extensive collection of problems (over 800 different test problems to date), to compare existing packages and
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 Constraints  Davide Cucciniello
This SATbased propositional (Boolean) logic engine for the iPhone lets you add, modify, delete, enable or disable constraints; assign values (true, false) to Boolean variables; and find all possible assignments to unassigned Boolean variables as solutions
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 Contentbased Image Retrieval Project  Computer Science Department, Stanford University
Project group members; online demos; SIMPLIcity: Semanticssensitive Integrated Matching for Picture LIbraries; related links.
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 Continued Fractions and Chaos (Organic Mathematics Proceedings)  Robert M. Corless
From the Proceedings of the Organic Mathematics Workshop. This paper is meant for the reader who knows something about continued fractions, and wishes to know more about the theory of chaotic dynamical systems; it is also useful for the person who knows
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 Contributions of 20th Century Women to Physics  Nina Byers; Department of Physics & Astronomy, University of California at Los Angeles
A searchable archive of data on 86 twentieth century women who have made original and important contributions to physics, including to the field of mathematical physics. Graphics include an annotated photo gallery and a poster montage of famous females
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 Counterexamples in Clifford Algebras  Pertti Lounesto, Helsinki Institute of Technology
Counterexamples to theorems published and proved in recent literature on Clifford algebras, spinors, spin groups and the exterior algebra, many stemming from the failure of the authors to check their statements in low dimensions, or for small numbers
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 The Counterexamples in Functional Analysis Home Page  Mohammad Sal Moslehian
A collection of new and classic examples in functional analysis and operator theory for graduate students, nonspecialists and any interested reader. The examples are related to Banach and Hilbert Spaces, Operator Theory, Banach Algebras, Topological
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 Counting Hamilton Cycles in Product Graphs  Frans Faase
Exploration of Hamilton paths through a program which draws a snake that starts at one place in a box, and then extends itself until it cannot go further, after which it shrinks again, to seek another path. The author coded these snake programs in Fortran,
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 Counting Points on Elliptic Curves  Fouquet, Harley, Gaudry, Morain
The authors, Ph.D. students at the Laboratoire d'informatique de l'École polytechnique, Paris, have established new records for point counting in characteristic 2, using a new algorithm due to Takakazu Satoh.
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 A Course on the Web Graph  Anthony Bonato
A comprehensive introduction to stateoftheart research on the applications of graph theory to realworld networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching
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 Covering and Packing (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on covering and packing problems.
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 Covering Systems, Restricted Sumsets, Zerosum Problems and Their Unification  ZhiWei Sun
Three famous topics in combinatorial number theory and a unified theory of them.
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 CPAIOR 2001: Third International Workshop
Third International Workshop on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems. Wye College (Imperial College), Ashford, Kent UK; 810 April, 2001. Papers available
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 The Crafoord Foundation
For the promotion of scientific training and research; and also the care, upbringing and education of children and young people. Apply for scientific research grants, and see grant awardees. The Royal Swedish Academy of Sciences awards a Crafoord Prize,
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 Cryptography World  The Cryptography Introduction
An introduction to cryptography and cryptoanalysis. Includes space for a repository of papers on the subject; introductory text; cryptography news through Google; and links to providers.
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 Crystallographic Topology  Johnson, Burnett, Oak Ridge National Laboratory
The Topology of Crystallographic Groups and Simple Crystal Structures. A tutorial on some applications of Geometric Topology to Crystallography. The topology of crystallographic groups is approached using orbifolds, and that of simple crystal structures
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 CSIRO Mathematical and Information Sciences  CSIRO
From Australia's Commonwealth Scientific and Industrial Research Organisation (CSIRO), research in environmental measurement and assessment; manufacturing, resources and finance; biotechnology, imaging and informatics; organisational performance measurement;
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 CT Category Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Category Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 C.T.J. Dodson  Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and precalculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
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 Curve Fit XYZ Computer Program  William L. Meyer Jr.
Windows software in C developed to curve fit data for algorithm definition. See also Spline Curve Fit 3D for complex threedimensional surfaces.
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 CV Complex Variables (Front for the Mathematics ArXiv)  Univ. of California, Davis
Complex Variable preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Cybermath  Gustav Taxén, Ambjörn Naeve, Olle Sundblad, Pär Bäckström and Sören Lenman
An avatarbased collaborative virtual exploratory environment for math. Trial version for Windows is available free.
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 Cybernetics and Systems Theory  F. Heylighen; Principia Cybernetica Web
General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy
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 The Cyclotomic Fields Virtual Study Group
A group of people studying L. Washington's book Introduction to cyclotomic fields. Download solutions to the book's problems in DVI format, or read the list of errata.
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 Dagra: Digitize Graphical Data  Blue Leaf Software
Software to digitize data from graphs for use in numerical calculations, modeling and analysis. For Windows platforms. Free trial, and moneyback guarantee, offered.
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 Daniel Bump
A mathematics professor researching automorphic forms, representation theory, and number theory at Stanford University. Read the errata for his book Automorphic Forms and Representations, notes on the Riemann zeta function and possible proofs of the
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 Daniel Lemire's homepage  Daniel Lemire
Daniel Lemire is a researcher in wavelet theory, data thinning and subdivision schemes. Recently, he has been interested in applications of these mathematical tools to ebusiness and data mining. Site contains papers (downloadable, PDF format), software
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 The Danish Mathematical Society
A society for the benefit of mathematics in research and education. Meetings, publications, and membership information. Site also available in Danish.
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 d'Arbeloff Interactive Math Project  Massachusetts Institute of Technology
Java applets, with help documentation, for exploration: Amplitude and Phase, Beats, Complex Exponential, Complex Roots, Convolution (accumulation or flip and drag), Damped Vibration, Damping Ratio, Euler's Method, Forced Damped Vibration, Fourier Coefficients,
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