 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 Notions  J. Castillo
A journal for papers related to the work of Florentin Smarandache, who in the 1960s proposed some new geometries: NonGeometry, CounterProjective Geometry, AntiGeometry, and Paradoxist geometry, which would generalize and unite Euclid, Lobachevsky/Bolyai/Gauss,
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 Smarandache Paradoxist Geometry  Chimienti, Bencze
Uniting Euclidean, LobachevskyBolyaiGauss, and Riemannian geometries. Smarandache geometries are partially Euclidean and partially NonEuclidean. It is based on the first four of Euclid's postulates, but the fifth postulate is
replaced so that there
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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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 Smart Systems Software  Korey Mateer
Smart Systems Software provides freeware for research and development in the field of mathematics. BigGoo Numerical Library, SmartData Data Dictionary, Smart Systems Library, and The Magic Matrix.
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 SMath Studio
SMath Studio is a free software application with a WYSIWYG interface similar to MathCAD. Also available in Russian.
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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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 Smithsonian Institution
An independent trust instrumentality of the United States holding some 140 million artifacts and specimens in its trust for "the increase and diffusion of knowledge," and a center for research dedicated to public education, national service, and scholarship
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 Smithsonian Institution Traveling Exhibition Service (SITES)
"The Smithsonian in your state." Each year, millions of people in more than 250 venues beyond Washington, D.C. visit SITES exhibitions on view in local museums, libraries, science centers, historical societies, aquariums, community centers, and schools.
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 snark (Spanish Math Puzzles)  Universidad de Buenos Aires, Math Forum
Contributions are only in Spanish. Una lista de correo electrónico dedicada a la matemática recreativa, los problemas de lógica recreativa, juegos de tablero y problemas sobre ellos, rompecabezas geométricos (poliominós,
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 Soap Films and Grid Walks  Ivars Peterson (MathLand)
A simple, physical demonstration of a mathematical truth can produce a lasting impression  one that inspires new questions and speculations. For Christopher C. Chang, a student at Henry M. Gunn Senior High School in Palo Alto, Calif., and one of 40 finalists
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 Social Actuary  Social Actuary
The Social Actuary community allows actuaries to: create a user profile; connect with other actuaries around the world to discuss exams, study habits, careers and much more via the Forums; display exam and destination progress via user profile; create
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 Social and Historical Aspects of Mathematics  Thompson, Wilkinson; Univ. of Wolverhampton (UK)
Math history: the development of counting systems and notations (includes Egyptian, Sumerian, Babylonian, and HinduArabic numerals); of notation and concepts in algebra; Changing systems of geometry from Euclid to Klein's programme (includes New Geometries,
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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 Advancement of Chicanos and Native Americans in Science (SACNAS)
The mission of SACNAS is to encourage Chicano/Latino and Native American students to pursue graduate education and obtain the advanced degrees necessary for research careers and science teaching professions at all levels. Their Biography Project, for
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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 Mathematical Biology
A forum for discussion of research in biology, mathematical biology, and mathematics applied to or motivated by biology  interdisciplinary research such as biophysics, computational biology, and many other similar realms. Information on membership and
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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 of Actuaries
Actuaries are professionals trained in mathematics, statistics, and economic techniques that allow them to put a financial value on future events. This skill is of great value to insurance companies, investment firms, employee benefits consulting firms,
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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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 Soddy's Formula  Pat Ballew
Descartes' Circle Theorem, an example of giving the credit to the wrong person. The formula is about the relation of the radii of four mutually tangent circles and is sometimes called the Kissing Circles Theorem: if four circles are all tangent to each
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 Sofist India  Sofist India
A software company that specializes in developing offtheshelf products and components (assemblies) using Microsoft .NET technology. The company also develops and maintains software packages and develops web sites. Its expertise lies in the fields of
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 Soft Mathematics: The Mathematics of People  Keith Devlin
Keith Devlin describes the blending of mathematics with other disciplines, an approach that is increasingly being adopted in the study of people and their actions.
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 Softmath  Neven Jurkovic
Developers of Algebrator, an automated tutor based on Maxima CAS that provides stepbystep solutions to algebra, trigonometry, and statistics problems, and exports answers to MathML. Demo and purchase Algebrator; use Softmath's free online software to
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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 Carpentry  Software Carpentry
Basic computing skills for scientists through selfpaced online instruction or short, intensive workshops ("boot camps" at universities and research facilities in the US, UK, and Canada). See, in particular, the free outlines and video lectures on MATLAB,
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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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 Software's Origin  Ivars Peterson (MathTrek)
Librarian Fred R. Shapiro of the Yale Law School in New Haven, Conn., searched for the word software among scholarly journals electronically archived in the JSTOR database and found that the term software used to describe computer programs dates back
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 Soler's Fractal Site
Fractal galleries of images made using Tierazon and other programs, links, downloads of fractalgenerating programs, and articles on fractals.
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 Solitairey Sequences  Ivars Peterson (MathTrek)
Solitaire on the computer screen  called Klondike or Idiot's Delight, this form of solitaire has resisted mathematical analysis. Partly because Klondike involves player choice, no one has yet been able to construct a mathematical model of the game from
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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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 Solutions to Heinemann AS/A Level text books  George Ierotheou
To provide ample examples of how to apply the key methods and techniques used at AS/A level.
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 Solve Equations by Successive Approximations in Your Spreadsheet  P. Russell
Approximation formulae to compute real and complex solutions of equations in a spreadsheet. The site includes an introduction to slope and derivatives.
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 Solve My Math  Solvemymath
Online math integrals calculator, derivative calculator, function grapher, math formulas and facts, math quizzes and puzzles.
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 The solving of Fermat's Last Theorem  Karl Rubin; Ohio State University Distinguished Lecture
Slides for a talk that tells the story of Fermat's Last Theorem for a general audience, including the history of the problem, the story of Andrew Wiles' solution and the excitement surrounding it, and some of the many ideas used in Wiles' proof.
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 Solving Rubik's Cube  David Lee Winston Miller
A "bestfast" Arity Prolog program and demonstration of an efficient heuristic search method to solve Rubik's Cube. Examine the cube's topography (its flat layout) and "submachines." Documentation includes "Understanding the problem," "Why this approach
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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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 The Soma Cube Puzzle  Modvix
Purchase the Soma Cube. Piet Hein, a Danish poet and inventor, visualized the set of all irregular shapes formed by no more than 4 cubes, each of the same size, and realized that the seven simplest irregular combinations of cubes can form a larger Soma
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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 Materials for Discrete Mathematics  E. Lee Lady, University of Hawaii
Files in PDF, DVI, and Postscript format. Contents include: an algorithm for solving linear Diophantine equations, the Chinese remainder theorem, mathematical induction and recursive algorithms, Change of base to Cantor representation, Dijkstra's algorithm
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