 Rings (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, and decision problems about rings are provided.
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 Rings with Identity (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, and decision problems about Rings with Identity, Rings with 1, and Unital Rings.
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 Rinus Roelofs
Geometric sculpture, animation, structures, and "rhinoceros" (knots) by Roelofs, who exhibited as part of the Escher Centennial celebrations. After studying Applied Mathematics at the Technical University of Enschede (Netherlands), Roelofs earned a degree
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 The Rise of Calculus  MacTutor Math History Archives
Linked essay describing the history of Calculus from the Greeks through Newton and Leibniz, with 28 references (books/articles).
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 RiskLab Toronto
One of an international network of math laboratories in the field of risk
modelling. Originally intended to model financial risk, the field has grown
to encompass a number of other areas. Site provides summaries of the lab's
research (including
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 Risorse Internet per la storia della matematica  Claudia Lamberti
Internet resources for mathematics, science, and engineering history selected from the University of Pisa Libraries.
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 RJN's More Digits of Irrational Numbers Page  Nemiroff, Bonnell
All digits accessible here were computed by Robert Nemiroff and Jerry Bonnell. The Digit Warehouse: e, sqrts of 2, 3, 5, 6, 7, 8, 10 to millions of digits.
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 Rlab Computer Language  Ian Searle
Created for scientific and engineering applications, this highlevel language focuses on creating a good experimental environment for matrix math. While not a clone, RLab is described as "MATLABlike" by its creator, Ian Searle. Access information and
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 RngPack  Paul Houle
A pseudorandom number generator package for Java. Pseudorandom means that the "random" numbers are generated by a deterministic mathematical process, not by a fundamentally random physical process such as radioactive decay or Johnson noise. RngPack contains
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 Road Sign Math  Jamie Thingelstad
"Driving + Math = Fun." A game to play on the road, identifying signs that suggest basic or advanced arithmetic, or that display constants, sequences, or primes. See digital photographs of actual street and highway signs that meet the "RSM" rules. Submit
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 Rob Barry's Website
Recent stories by The Wall Street Journal investigative reporter who specializes in computerassisted reporting, which he describes as "the practice of wrestling large sets of data into compelling narratives." Barry's articles have ranged from insider
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 Robbins Algebras are Boolean  William McCune, Automated Deduction Group, Argonne National Laboratory
The Robbins problem  are all Robbins algebras Boolean?  has been solved: Every Robbins algebra is Boolean. This theorem was proved automatically by EQP, a theorem proving program developed at Argonne National Laboratory. Information on the solution;
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 Robert Abbott's Mazes  Robert Abbott
Two very difficult puzzles programmed by Oriel Maxime and based on mazes in Abbott's books: the Sliding Door Maze, and Theseus and the Minotaur. Also a collection of reviews of the books SuperMazes and Mad Mazes, with more puzzles (but nothing interactive),
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 Robert J. Lang Origami  Robert J. Lang
Lang has catalogued and diagrammed over 400 models, combining aspects of the Western school of mathematical origami design with the Eastern emphasis upon line and form. Read about origami mathematics, which mathematically describe the underlying laws
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 Roberto Tamassia's Home Page
Home page of a Professor in the Dept. of Computer Science at Brown University. Curriculum Vitae, recent papers, teaching, books (interests include graph drawing, data structures, computational geometry).
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 Robert's Online Applications  Robert Lum
Java applets to assist with financial investments: commissions pricer, derivatives pricer, loan pricer, option pricer, option strategy visualizer, portfolio pricer, quote sheet, stock volatility charts, and tax pricer (1999, 1998, 1997, 1996 or 1995).
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 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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