 SINGULAR  Greuel, Pfister, Schoenemann; Dept. of Mathematics, Univ. of Kaiserslautern
A computer algebra system for polynomial computations, with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
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 The SISL Nurbs Library  SINTEF Applied Mathematics
A library of NonUniform Rational BSplines (NURBS) software, developed and
maintained by the Department of Geometric Modelling at SINTEF Applied Mathematics. The SIntef Spline Library (SISL) contains all the necessary functionality for building applications
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 Sketches of Topology  Kenneth Baker
Visualizations, often created with Sketchup, of low dimensional topology. Blog posts, which date back to November, 2007, have included "Twisted Saddles," "Scharlemann cycles," "Long Disks and Lopsided Bigons," "Ko Honda's Octahedral Relation," "Berge
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 Skills and Competencies Needed to Succeed in Today's Workplace  NCREL: North Central Regional Educational Laboratory; Learning Point Associates
Because the world of work is changing, the U.S. Departments of Labor and Education formed the Secretary's Commission on Achieving Necessary Skills (SCANS) to study the kinds of competencies and skills that workers must have to succeed in today's workplace.
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 SLATEC (Common Mathematical Library, Fortran)  Kirby W. Fong, Thomas H. Jefferson, Tokihiko Suyehiro, Lee Walton
An extensive publicdomain FORTRAN source code library (consisting of more than 1400 routines and 300,000 lines of code and documentation) developed and maintained by a consortium of Department of Energy and Department of Defense national laboratories.
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 Sloan Digital Sky Survey
The astronomical surveys of the Sloan Digital Sky Survey (SDSS) have "obtained deep, multicolor images covering more than a quarter of the sky and created 3dimensional maps containing more than 930,000 galaxies and more than 120,000 quasars." SDSS's
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 A Small Puzzle  Joe Fields
The site offers a visual proof that the sum of the first n consecutive odd numbers is n^2, the "L"decomposition.
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 Smarandache Algebraic Structure, book series.  Elibrary of Science
Smarandache Algebraic Structures, book series by W. B. Vasantha Kandasamy: Vol. I: Groupoids; Vol. II: Semigroups; Vol. III: Semirings, Semifields, and Semivector Spaces; Vol. IV: Loops; Vol. V: Rings; Vol. VI: Nearrings; Vol. VII: Nonassociative Rings;
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 SMART: Explorapaedia of Statistical and Mathematical Techniques  Richard Sharp, BioSS
A collaborative approach to the production and delivery, via the web, of training in quantitative methods. Modules include: growth curve modelling, antedependence (repeated measures) modelling, analysis of molecular variance, sequential acceptance sampling,
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 Séminaire Lotharingien de Combinatoire
An electronic journal on combinatorics. Abstracts of the papers are available online, and the full articles can be downloaded.
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 Séminaire Lotharingien de Combinatoire  Institut für Mathematik, Universität Wien, Vienna, Austria
A joint seminar in Combinatorics for the Universities of Bayreuth, Erlangen and Strasbourg, as well as the other Universities along the Lotharingian boundaries. The Seminar hosts an international electronic journal carrying the same name, with abstracts
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 Sociedade Portuguesa de Matemática (SPM)
Portuguese Mathematical Society. Periodicals, monographs, events, membership information.
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 Societat Catalana de Matemàtiques  L'Institut d'Estudis Catalans
The Catalan Mathematical Society. Barcelona 2000, the Third European Congress of Mathematics, and World Mathematical Year 2000.
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 Society for Chaos Theory in Psychology & Life Sciences
An association of researchers and practitioners interested in applying dynamical systems, chaos, and complexity theory to psychology and the life sciences. Joining the society; contents and submission information for the journal Nonlinear Dynamics, Psychology,
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 Society for Industrial and Applied Mathematics (SIAM)
SIAM was founded in 1951 to advance the application of mathematics to science and industry, promote mathematical research that could lead to effective new methods and techniques for science and industry, and to provide media for the exchange of information
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 Society for Nonlinear Dynamics and Econometrics  Bruce Mizrach
The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective. Call for papers; programs of past symposia; Journal (Studies in Nonlinear Dynamics and Econometrics  abstracts and bibliographies
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 Society for Risk Analysis (SRA)
A multidisciplineary, international open forum for those interested in risk analysis, broadly defined to include risk assessment, characterization, communication, management, and policy. Interests include risks to human health and the environment, both
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 Society for Special Functions and their Applications (SSFA)  S. Ahmad Ali
A group based in India which exclusively caters to and coordinates research activities in this branch of analysis. The Society has interaction with the SIAM Activity Group  SIAM OPSF. Under the agreement the permission has been granted to SSFA, India
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 Society for Special Functions & their Applications, India
Publications, links, and conferences of the society. The main objectives of the Society are: to promote basic research in the field of Special Functions and their application in other areas of mathematics and in Science and industry; to encourage and
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 Society of Manufacturing Engineers (SME)
The premier source of learning and knowledge for the manufacturing community. An international professional society dedicated to serving its members and the manufacturing community through the advancement of professionalism, knowledge, and learning. Founded
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 Software and Animations (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of pointers to specialized software, Java applets, video sequences, and other forms of interactive or animated geometry.
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 Software Development  Dept. of Mathematics, University of Arizona
A page with links to mathematical and graphics packages developed within the University of Arizona Mathematics Department. Researchrelated and instructional software, with packages related to computer algebra and raster graphics; vector graphics and
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 Software for Algebra and Geometry Experimentation  William Stein et al.
Free and open software for researching and teaching algebra, geometry, number theory, cryptography, and more. SAGE performs group theory and combinatorics (using GAP), symbolic computation and calculus (Maxima), commutative algebra (Singular), number
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 Software for Graphics and Data Analysis  S. Baum; Dept. of Oceanography, Texas A&M University
Links to software with descriptions, features, and where to find it, in (mostly) the following categories (or check out the complete alphabetical list): mostly graphics; mostly numerical analysis and number crunching; mostly data formats; commercial packages;
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 Software from Alan J. Miller  Alan J. Miller
Dozens of FORTRAN downloads, organized into logistic regression, TOMS algorithms, special code for F and NAS compilers, code converted from the Naval Surface Warfare Center Library of Mathematics, miscellaneous other code, and applied statistics algorithms.
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 Software (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
An extensive collection of links to software, with abstracts and reviews, organized in four different ways: by platform (Macintosh, MSDOS) and then by subject; interactive texts (using a commercial package such as Mathematica, Maple or Mathkit to interact
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 Software  School of Statistics, University of Minnesota
XLISPSTAT  a statistical environment based on a dialect of the Lisp language called XLISP; MacAnova, an interactive program for statistical analysis and matrix algebra; Rcode  software that accompanies the book, An Introduction to Regression Graphics,
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 Soliton Lab Art Gallery  Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a solitonlab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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 Solomon Papers  Sorin Solomon
Links to papers on microscopic representation of stock markets, and some papers on clusters and multiscale, artificial creativity and novelty emergence, Vision, psychophysics, and cognitive development, Sand piles, and Lattice QCD.
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 Solving On Line problems of Inventory Control  G.B. Rubalsky
Online solver for special optimization problems, plus samples of problems, solution methods, algorithms and programs, which might be of interest to those involved in operations research, numeric optimization and stochastic processes.
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 Solving the Quintic by Iteration [PDF]  Peter Doyle, Curt McMullen
This paper, which appeared in Acta Mathematica, gives explicitly a new solution to the quintic polynomial, in which the transcendental inversion of the icosahedral map (due to Hermite and Kronecker) is replaced by a purely iterative algorithm. The algorithm
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 Solving the Quintic with Mathematica  Wolfram, Inc.
Solving the Quintic  The impossibility of solving general quintics in radicals, Tschirnhaus's transformation, Klein's approach to the quintic, Solutions based on series, Solutions based on differential equations, Equations of higher degree. Steps to
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 Some disasters attributable to bad numerical computing  Douglas N. Arnold; Institute for Mathematics and its Applications
Real life examples of what can happen when numerical algorithms are not correctly applied: The Patriot Missile failure (rounding errors); The explosion of the Ariane 5 rocket (a simple overflow); The sinking of the Sleipner A offshore platform (inaccurate
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 Some Interesting references about LLL  François Koeune
Papers on the LLL algorithm and its applications, divided into: Understanding LLL; LLL as a Tool; Latticebased Cryptosystems; Refinements and Variants of LLL; and Interesting links.
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 Some Planar Isospectral Domains  Buser, Conway, Doyle, Semmler
A paper on isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One example is a pair of domains that are not only isospectral but homophonic, showing that one really can't hear the shape of a drum. With a gallery
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 Some Problems in Matroid Theory  Thomas Zaslavsky
Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum rFlat; Covering And Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany.
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 Something or other, whatever!  Christian LawsonPerfect
Links to "all my doings around the web" by an Aperiodical blog editor include three.onefouronefivenine.com, an infinitely scrolling vertical list of the decimal digits of π with occasional annotations; a free webbased system for building exams called
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 Some (Unsolved) Mathematical Problems  Jörg Winkelmann
A collection of some analysis questions the author encountered in the context of his own research.
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 Sommer Cube  Michael Sommer
The faces of the modular Sommer Cube (S3) feed into twisted conduits that comprise a threedimensional, tunnelling maze. The website provides example arrangements and construction questions such as "Given that a ball must exit at the lowest S3 level and
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 sortedsums  D. J. Bernstein
A collection of tools for enumerating small solutions to certain types of Diophantine equations. Includes links to the latest published sortedsums package, and to a paper explaining the algorithms used.
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 Sources in the history of algebra: arithmetical and recreational problems  Albrecht Heeffer
A comprehensive database of arithmetical and algebraical problems from sources before the 18th century, for research and educational use.
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 Southeast Applied Analysis Center (SAAC)  School of Mathematics, Georgia Tech
A centralized location to coordinate activities in applied analysis in the
Southeastern United States, fostering academic research, applied mathematical research in industrial settings, and educational innovations. The present departmental strengths
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 The Southwest Center for Arithmetic Geometry  Romyar Sharifi, Principal Investigator
In this intensive fivedaylong school, advanced graduate students work closely with senior faculty and postdoctoral fellows — not as individual researchers presenting their work in relative isolation, but in highly participatory, extended courses
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 Southwest Journal of Pure and Applied Mathematics  Ioannis Argyros, EditorinChief
The Southwest Journal of Pure and Applied Mathematics (SWJPAM) is an electronic journal devoted to all aspects of pure and applied mathematics, and related topics. Electronic issues date back to 1995, and are available for download in postscript, compressed
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 SpaceFilling Designs  Edwin van Dam, Dick den Hertog, Bart Husslage, Gijs Rennen; Tilburg University, the Netherlands
Free online database of spacefilling designs for (computer) experiments. Includes maximin, nested maximin, and minimax designs, as well as a bibliography and links to other web sites. All designs on this website may be downloaded and used free of charge,
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 Space Science and Engineering Center (SSEC) Visualization Project  Bill Hibbard
The SSEC Visualization Project makes the Vis5D and VisAD systems freely available over the Internet. Vis5D provides interactive visualization of the output of numerical simulations of the Earth's atmosphere and oceans. VisAD enables scientists to interactively
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 Special Functions  D. Lozier; Applied and Computational Math Division, NIST
This area of numerical computation has the property that input to its software is of small dimension, so highaccuracy reference software that produces test data with guaranteed error bounds is feasible. Library developers need illustrations of anomalous
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 Special Functions in WolframAlpha  Michael Trott
Special functions describe a large number of phenomena in mathematical physics and other disciplines. Michael Trott posts here about WolframAlpha's treatment of these functions. In particular, there are some with two forms: a simpler version that makes
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 Special Interest Groups: American Educational Research Association (AERA)  College of Education, Arizona State University
Index and complete list of AERA SIGs, which provide a forum within AERA for the involvement of individuals drawn together by a common interest in a field of study, teaching, or research when the existing divisional structure may not directly facilitate
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 Spirals (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on spirals of all kinds.
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