 Special Functions  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to special functions, specialized functions beyond the familiar trigonometric or exponential functions. The ones studied (hypergeometric functions, orthogonal polynomials, and so on) arise very naturally
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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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 Specialized Learning Modules  Sherry Ellers; Educational Strategies
A selfstudy correspondence program for special needs students in grades 68, with teaching help available via mail, phone, fax, or email. Middle Level Learning Modules cover language arts, math, reading, science, social studies, and study skills. Modules
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 Special Relativity  MacTutor Math History Archives
Linked essay describing the history of special relativity from Newton's laws through Lorentz and Einstein, with 12 references (books/articles).
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 Special Relativity Theory Made Intuitive  Sylvain Poirier
A paper. The author describes it: "Presentation of the deep mathematical concepts of Special Relativity theory, written like a philosophical analysis with few formulas, and based on a transfer of the Euclidean geometry tools and intuition to the pseudoEuclidean
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 Speed Math Trainer  Jimmy Ruska
Flashbased, very tiny file size, speed math program including a Google video tutorial. Watching the video tutorial is highly recommended as the program can be tricky to use. Free for redistribution and potentially useful for anyone wishing to increase
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 Sphere Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the surface area and volume of a sphere, sphere sector, spherical cap, and segment, zone, and lune of a sphere.
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 Spherical Geometry  Dave Rusin; The Mathematical Atlas
Posts on spherical geometry. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this focus.
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 Spherical Geometry Demo  John M Sullivan, University of Illinois
An applet demonstrating several features of spherical geometry, among them the parallel transport of tangent vectors, and the fact that the angles of triangles may not sum to 180 degrees.
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 Spidron System  Daniel Erdely
Erdely calls a planar, planefilling object a Spidron. Upon threedimensional deformation subject to specific constraints, the planar system generates a regular, dynamic, geometrical construction. Erdely's experiments have led to the idea of creating
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 SPIMSOW: Swarthmore Summer Project for the Implementation of Mathematical Software on the Web  Bouttenot, Parlikar; Mathematics & Statistics Dept., Swarthmore College & Math Forum
The product of a 1998 summer project investigating current Weboriented mathematical software. The site explores the capabilities of the new Web versions of Mathematica, Maple, and MathView, offering tutorials on configuring the software and creating
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 Spinning to a Rolling Stop  Ivars Peterson (MathTrek)
The underlying mathematics of spinning disks. Spin a coin on a tabletop. As it loses energy and tips toward the surface, the coin begins to roll on its rim, wobbling faster and faster. Toward the end, the coin generates a characteristic rattling sound
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 Spinozistic Calculus  Joseph B. Yesselman
Spinoza's Insights expressed in a Calculus format.
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 Spirals of Primes  Bryan Clair, University of Chicago
This page will generate a spiral of numbers, with the primes marked as stars, and the composites as dots. The center of the spiral is marked with an 'X'. Specify the number at the center of the spiral below, and the width (and therefore also the height)
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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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 Spirograph  Anu Garg
A Spirograph is formed by rolling a circle inside or outside of another circle. The pen is placed at any point on the rolling circle. This applet has changeable colors as well.
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 Splash Math  StudyPad, Inc.
Free adaptive, interactive worksheets and games of math problems for grades 15. Aligned to the Common Core Standards (CCSS), these apps for the iPhone and iPad also email weekly progress reports that highlight strengths and weaknesss. Also available
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 splib/wavelets  Rice University
Rice Digital Signal Processing (DSP) wavelet resources: links to wavelet research groups around the world.
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 Spliddit  Procaccia, Ariel; Goldman, Jonathan
Provably fair solutions to the everyday dilemmas of splitting rent, dividing goods, and sharing credit. Spliddit's algorithms account for individual rationality, efficiency, maximin share, proportionality, the highest feasibility level of fairness, impartiality,
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 SPLUS: Statistics and Data Mining Software  TIBCO Software Inc,
A suite of software products based on the "S" programming language created specifically for data visualization and exploration, statistical modeling and programming with data. It provides an objectoriented environment designed for interactive data discovery
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 Sport Science  ESPN Internet Ventures
ESPN videos that "uncover sports' biggest myths and mysteries by using cuttingedge technology to measure momentum, friction and the laws of gravity." Also available from http://espnrise.com/sportscience.
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 Sports Engineering Research Group  Matt Carré, Department of Mechanical Engineering, University of Sheffield (UK)
Research projects, equipment development, teaching and education in pursuit of fundamental questions about impact, friction, the aerodynamics of game balls, sports surfaces such as the traction of cleats and other footwear, and more. See, in particular,
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 Spreading Memes  Cut the Knot!, Alexander Bogomolny
First of a series of interactive columns for MAA Online that use Java applets to simulate a puzzle or mathematical problem, one not stated directly since the applets are intended to be such that the right answer to an as yet unstated problem should be
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 Spreading Rumors  Ivars Peterson (MathLand)
Three people take longer to share their gossip than four people! This curious result arises out of the following mathematical problem: A group of friends love sharing their gossip. Each gossiper initially knows something that no one else in the group
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 Spreading the Word  Keith Devlin (Devlin's Angle)
History of and commentary on early calculus texts. "The first calculus text hit the shelves in 1696. They have been growing steadily in size (if not mathematical content) ever since. That first genresetting volume was Guillaume Francois Antoine de l'Hospital's
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 Spreadsheet Basics  Jan Garner
Finding your way around spreadsheets; entering data; graphing with spreadsheets.
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 Spreadsheet Math  Sustainablearning, Inc.
Spreadsheets as laboratories where students can "become a scientist who poses a question, builds a model, collects data, and asks 'What if ...?'" Freely downloadable Excel files that emphasize student choice, challenge, and creativity range from place
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 Spreadsheets in Education  Baker, Sugden; Queensland, Australia
A new fully peerreviewed electronic journal devoted to the use of electronic spreadsheets, such as Microsoft Excel, in education. The editors invite manuscripts from education professionals who make use of spreadsheets for the benefit of their students.
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 Spreadsheets, Mathematics, Science, and Statistics Education  Erich Neuwirth
Information about spreadsheets with an emphasis on mathematics and statistics education. Spreadsheets in Education: Recommended Books; Papers about Spreadsheets in Scientific Journals and Books; Example Spreadsheets and Projects (mostly Excel 5.0); Further
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 SpreadsheetZONE  Pagos, Inc.
This repository of Microsoft Excel spreadsheet templates contains a category of math learning tools that covers topics such as base system conversion, exponential functions, logarithmic functions, Cartesian coordinates, derivatives, goodness of fit, polar
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 The Springer GTM Test  David Savitt
Multiple choice questions that promise to identify "which SpringerVerlag graduate text in mathematics you are."
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 Springer Science Online  SpringerVerlag New York Inc.
SpringerVerlag (offices in New York, Barcelona, Berlin, Heidelberg, Hong Kong, London, Paris, Tokyo, and Vienna) has over 10,000 books in print, with 280 journals and magazines produced each year and over 1,500 new titles released annually to cover the
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 Springing a Physical Surprise  Ivars Peterson (MathTrek)
Consider a weight hanging from a spring, which in turn is suspended by a piece of string from an identical spring attached to the ceiling. Cutting the connecting string would send the weight and the lower spring plummeting to the floor. Now add two "safety"
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 Sproglit  Sproglit LLC
Creators of "Kyle Counts" and other resources based on the Math Arrow, a zigzag arrangement that uses shape and color to reveal properties of the natural numbers 1100. Blog posts, which date back to February, 2013, have included "What We Learn from
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 Sprott's Fractal Gallery  Julien C. Sprott, Dept. of Physics, Univ. of Wisconsin
Images from programs and books by the site's author, with information about these books and software packages, and MSDOS software packages available for download. Every day a new fractal image is automatically generated on this page by a variation of
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 Sprouts for Spring  Ivars Peterson (MathLand)
The game of sprouts has a way of growing on you. This twoperson, pencilandpaper game is simple enough that children can play it. Yet its intricacies provide much food for mathematical thought. The players start with a certain number of dots scattered
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 SP Spectral Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Spectral 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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 The SPSS Decision Maker  Maurits Kaptein
This is a website that guides you through a number of steps to select a statistical technique. Developed for those who do know the basic concepts of research statistics and experimental design but need help determining the final test.
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 Spy Guys: Online Elementary Mathematics Resource  Mathematics 6  LearnAlberta.ca
This Flash 5 site includes lessons (Decimals; Improper Fractions and Mixed Numbers; Ratio; Percent; Solving Problems with Decimals; Understanding Integers; Factors, Multiples, and Prime Factorization; Summarizing and Extending Patterns; Rounding Numbers;
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 Square Cell  Brian Prentice
Three 2D Cellular Automata explorers for Windows.
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 Square/Cube Roots without a Calculator  Math Forum, Ask Dr. Math FAQ
How do you find the square root of a number by hand? How about cube roots?
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 Square Machine (Early Childhood Art Lessons, Arts Wire)  The Incredible Art Department
A "lesson plan" for ages 35. "What's a square? Squares are all over the place. Look at these square things..."
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 Square of the Hypotenuse  Ivars Peterson (MathTrek)
Some history of the legend of the discovery of the Pythagorean theorem: in his textbook The History of Mathematics, Roger Cooke of the University of Vermont describes how the Babylonians might have discovered the Pythagorean theorem more than 1,000 years
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 Square Root Calculator  Chris Misenheimer
This interactive square root calculator calculates the square root of positive, negative, imaginary, and complex numbers, rounded to seven decimal places. Short articles include "Square roots and area," "Square roots without a calculator," and "What does
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 Square Root Calculator  Mimi Stern
Free JavaScript and apps calculators of square and cube roots of positive integers.
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 square root of negative one teach math  Amy Gruen
Blog by a high school math teacher in Kansas. Posts, which date back to December, 2010, have included "Stations Review and Practice," "The Loop for Logs," "My Thoughts On Homework," "Everyone Failed (and What's Up With Probability?)," "Visualizing Volumes,"
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 Square Roots without a Calculator  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about square roots without a calculator, from the divideandaverage technique to Newton's method to the continued fraction algorithm (CFA).
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 Squares and Square Roots, 1100  Math Forum, Ask Dr. Math Common Question
A table of squares and square roots, 1100.
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