 Robotic Navigation with Constraints  J. A. Sethian
A paper and movie on robotic navigation. Finding the Shortest Path: The equation that describes the arrival time of this expanding front as it depends on the possible speed at any point and direction is the Eikonal equation. The fast marching method is
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 RockandRoll Bridge  Ivars Peterson (MathTrek)
Startling scenes of rippling pavement, featured in a classic film that captured the 1940 destruction of the Tacoma Narrows suspension bridge in Washington state, rank among the most dramatic and widely known images in science and engineering. This old
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 Rocky Mountain Mathematica  Ed Packel, Stan Wagon
Introductory and intermediate workshops on Mathematica for teachers of mathematics and other scientific subjects. Workshops are held in Colorado during early July. The site includes registration information, schedule, and syllabi.
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 Rodney Carr's Home Page  Deakin University, Australia
Books and software on statistics and advanced spreadsheet design. Contact the author for passwords to access downloadable documents and executable Microsoft Excel workbooks such as XLStatistics, for statistical analysis of data; XLGenetics, for illustrating
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 Rogue Wave's Math Class Libraries  Rogue Wave Software, Inc.
Math.h++ is a C++ class library for any code that manipulates arrays of numbers. Math.h++ offers vector, matrix, and array classes, statistics classes, FastFourier Transformations, and persistence. Product information, technical discussion, Math.h++
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 The Role of Calculators in Math Education  Heidi Pomerantz, Bert Waits for USI/CPMSA
This PDF article outlines the benefits of calculator use in mathematics classrooms from kindergarten through the university level, describing how calculators, when used appropriately, can be a tool for learning mathematics. The document has six sections:
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 The Role of Examples in Learning Mathematics  Annie and John Selden; Mathematical Association of America
"Examining examples and nonexamples can help students understand definitions.... Is the provision of examples always desirable? Would it perhaps be better to ask undergraduate students to provide their own examples and nonexamples? Would they be able
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 Roles of calculators in the classroom  Pedro Gómez and Bert Waits
The site contains the extended papers of the conferences presented in the Topic Group 18 of the International Congress of Mathematics Education held in Seville in July, 1996. Papers are presented both as web pages and as PDF files.
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 Rolf's Calculator  Rolf Howarth
A fully featured JavaScript scientific calculator that includes trig functions and logarithms, factorials, 12 levels of parentheses, logs to base 2, bitwise logical operators, hex, octal, binary and ascii display.
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 Rolling with Reuleaux  Ivars Peterson (MathLand)
Why is the cover of a manhole round? The usual answer is that a circular lid, unlike a square or hexagonal cover, won't fall through the opening. The circle works because it has a constant width, defined as the distance between a pair of parallel lines
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 The Roman Press, Inc.  Steven Roman
Home page of a California mathematics professor, including research articles, books and textbooks, and software.
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 Ronald Brown's Home Page  Ronald Brown, Department of Mathematics, University of Wales, Bangor (UK)
An explanatory paper on higher dimensional group theory; Brown's publications list; preprints/reprints (PostScript); articles on popularisation and teaching, such as "What is mathematics?" and "What should be the output of mathematical education?"; course
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 Rossman/Chance Applet Collection  Franciso Garcia, Carlos Lima, and Beth Chance
Applets for simulating confidence intervals for population parameter, tintervals for different population shapes, behavior of regression line, histogram bin width, sampling Reeses Pieces, sampling 2002 U.S. Senators, sampling pennies, sampling words
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 ROSSMANCHANCE.COM  Allan J. Rossman & Beth L. Chance
Workshops and presentations, publications, and current projects by the authors of the Workshop Mathematics Project textbooks. See tables of contents, instructor guides, sample syllabi and exams, and answers to activities from books in the Workshop Statistics
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 Rough math: Focusing on rogue waves at sea  Ivars Peterson  Science News Online
Ocean currents and large fields of random eddies can focus a steady ocean swell to create unusually large waves. A current or eddy field acts like an optical lens to focus the wave action, says applied mathematician Bengt Fornberg of the University of
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 A RoundTable Discussion with the Client Disciplines  Sheldon P. Gordon; Mathematics, Suffolk Community College
A roundtable discussion, chaired by Sheldon Gordon, with participants from a number of the sciences; the topic was how calculus reform affects their respective fields.
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 Rouse Ball's Fallacy  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A famous fallacy by Rouse Ball now implemented in Java. A proof that an obtuse angle is right. How can that be?
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 Row Your Boat  Ivars Peterson (MathTrek)
Although a rowing shell with eight rowers is much larger than one with a single rower, all shells have roughly the same proportions (at least for the surface area over which the shell makes contact with water). Data from 2000meter world and Olympic championship
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 The R Project for Statistical Computing
A language and environment for statistical computing and graphics, originally written by Robert Gentleman and Ross Ihaka (R & R), that provides a wide variety of statistical and graphical techniques, including linear and nonlinear modelling, classical
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 RSA Laboratories' Frequently Asked Questions About Today's Cryptography  RSA Laboratories
Cryptography FAQs organized into eight chapters: introduction, cryptography, techniques in cryptography, applications of cryptography, cryptography in the real world, laws concerning cryptography, miscellaneous topic, and further reading. With appendices
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 R. S. Schaeffer  Randy S. Schaeffer, Math & Computer Science, Kutztown University of Pennsylvania
Schaeffer teaches a course called "Methods of Teaching Secondary Mathematics." Download the lessons created by his students that call on Geometer's Sketchpad, graphing calculators, and Microsoft Excel. Lesson topics address parallel lines, box and whisker
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 RT Representation Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Representation 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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 Rubik's Cube Information  Michael Reid
All about Rubik's Cube  even a mailing list. Site contents include: the Nederlandse Kubus Club; Rubik's cube pages on the Web; Cube books; Sources of cubelike puzzles; the author's notes, including an optimal cube solver; other Cube solutions on the
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 Rubik's Cube Java Applet  Michael Schubart
To twist the cube, press the mouse button over a cubelet face that belongs to the slice you want to move. Keeping the button pressed, drag the mouse in the desired direction; then release the button. Moving the whole cube is done in the same way  just
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 Rubik's Games  Androsoft
Dedicated to the first PC CDROM game from Erno Rubik, Rubik's Games contains 5 subgames: Rubik's Classic, Cover Up, Paint War, Rubik's Playground and ZigThrough. Download the Rubik's Games Web Site Plugin plugin or a demo of the Rubik's Game CDROM.
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 Rubik's Online  Rubik/Seven Towns
The official online site for the Rubik's cube. Play with the cube and other Rubik's games and puzzles online; find information on where to buy Rubik's products; use the forum to exchange views, opinions, comments, suggestions and anecdotes related to
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 Rubix Corner  Duane Cash
The site includes information regarding the Duane Cash Cube Collection now featured at Hessport's Rubikshop in their "collectibles" section. New puzzles include the Rubik's Triamese, Fusion, Fusion+, SpeedFusion, 5x3, and 4x3 Cubes, which give those interested
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 Rulebased Mathematics  Albert Rich
Reduction rules for determining the antiderivative for a wide variety of integrands. See test suite results of his reduction rules, as implemented by Rubi, compared against performances by Maple and Mathematica across a variety of types of integrals.
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 Rungs and Vineyards  Paul Kunkel
Investigations of two interesting visual effects seen from a moving automobile. It includes two interactive perspective drawings, and a discussion of the
cylindrical and planar projections used to create them.
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 Runiter Company  Saeid Nourian
Demo or purchase software that plots math functions in 3D or in or grid sheets, rotates them, and manipulates them in realtime: Smart Math Calculator, Graphing Calculator, A&G Grapher (algebra and geometry), Statistics Problem Solver, and Calculus Problem
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 RuthAaron Pairs and an Algorithm  Joe K. Crump
A page on RuthAaron numbers and a novel algorithm capable of generating
very large ones (200+ digits).
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 S3Triplett als 3DWelt und als Animation  Stefan Scheller
Ein S3Triplett (drei orthogonale Projektionen) wartet mit überraschenden Effekten auf. Besonders interessant wird das Triplett, wenn es als VRMLAnimation betrachtet wird (VRMLPlug In vorausgesetzt). A GIFanimation shows a S3triplet. When watched
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 Sabermetrics  The Baseball Archive
"The search for objective knowledge about baseball." Read a primer of Bill James' findings, or David Grabiner's manifesto on Sabermetrics. Studies address minor league equivalencies ("Are minor league stats a good precictor of major league performance?"),
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 Sabernomics: Economic Thinking about Baseball  JohnCharles Bradbury
A blog on the economics in, and of, the game of baseball. Original tools and studies includes salary estimators, research on age and hitting and pitching, antitrust and Major League Baseball, attendance and winning, Barry Bonds and walks, competition
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 SABER  The World Bank Group
An open data tool that provides comparative data on education policies around the world. The Systems Approach for Better Education Results (SABER) web tool aims to help countries collect and analyze information on their education policies, benchmark themselves
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 SABES: System for Adult Basic Education Support  Massachusetts Department of Elementary & Secondary Education
SABES promotes high quality adult basic education services through training, support, and resources that improve the skills and knowledge of practitioners and strengthen programs. SABES strives to achieve this mission by: providing staff development that
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 Sacramento Area Math Help and Tutoring  Just Math Learning Centers
Just Math provides math help, tutoring and SAT prep for Sacramento area children through college students. Skills training in elementary math, algebra, geometry, and calculus.
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 Sacred Science: Essays on Mathematics, Physics and Spiritual Philosophy  Thomas J. McFarlane
Essays in philosophy and religion intended to reveal the harmony in mathematical, physical and spiritual knowledge: Quantum Mechanics and Reality; Symmetry in Science and Religion; Science: Physical and Spiritual; Kant and Mathematical Knowledge; The
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 SAGE
SAGE is free and open software that supports research and teaching in algebra, geometry, number theory, cryptography, etc. Interfaces with other prominent mathematics programsuse them from within SAGE. Tutorial, documentation, and developers' pages
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 Sage: Open Source Mathematics Software  William Stein, University of Washington
An open source mathematics program designed to do everything from map a 12dimensional object to calculate rainfall patterns under global warminganything Maple, Matlab, or Mathematica would do. This free software reveals how it performs its calculationsso
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 Salinon: From Archimedes' Book of Lemmas  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description of Archimedes' application of propositions from the second book of Euclid's Elements to mathematical proofs. An interactive Java exploration is provided.
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 Saltire Software
Mathematical technology for industry and education. Saltire Software's core technologies are constraintbased interactive geometry systems, symbolic algebra, and optimization, with products for mechanical engineering, mathematics education and layout
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 Sampling and the Census  Ivars Peterson  Science News Online
Despite strong support from statisticians, the Census Bureau's plan to increase the use of sampling in the next census has met resistance in Congress.
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 Samuel Arbesman
Research and writings by the author of The HalfLife of Facts. As an applied mathematician and network scientist, Arbesman's delves into the science of science, nature of productivity and prosocial behavior within cities, the structure and function of
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 Sandpiles in Graphs  Angela R. Kerns
Research into sandpiles in graphs, related to previous research by others in several areas including include sandpiles in grids and chipfiring games; also sandpile rules as algorithms for information dissemination problems. An application of cellular
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 Sangaku, Japanese Temple Geometry  Tony Rothman, Princeton University
For centuries in Buddhist and Shinto shrines, Japanese have hung wooden tablets containing mathematical problems. Read PDF or PS downloads of a tutorial on the inversion method for solving Sangaku, or of the article "Japanese Temple Geometry," which first
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 Sangaku: Reflections on the Phenomenon  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of sangaku problems with Java simulations and complete solutions, preceded by an introductory article that promotes an unorthodox view point on the wonderful phenomenon of Temple Geometry.
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 Sara Billey
Sara Billey researches combinatorics, algebra, Lie theory, algebraic geometry and probability. Her papers on these topics may be downloaded in PostScript or gzipped PostScript format. The syllabi and problem sets for her undergraduate courses, i.e.
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 Sarah Glaz
Teaching, research, books, and articles by the algebraist, ring theorist, and poet. See, in particular, the math poems of undergraduate students and Glaz's own poetry, which includes "Mathematical Modeling," "A Pantoum for the Power of Theorems," "I am
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 sarahmarie belcastro's home page  SarahMarie Belcastro
From one of the authors of Making Mathematics with Needlework: "I seem to have become a topological graph theorist while I wasn't looking. I am also interested in convex and combinatorial geometry, algebraic geometry, topology, algebra, the geometry of
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