 The REDUCE Computer Algebra System  Anthony C. Hearn; RAND
An interactive program designed for general algebraic computations of interest to mathematicians, scientists and engineers. Its capabilities include:
expansion and ordering of polynomials and rational functions; substitutions and pattern matching in
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 Reference Notes  Department of Mathematics, Cal. State U. San Bernardino (CSUSB)
Notes on set theory, symbolic logic, methods of proof, basic proofs, functions, relations, binary operations, and groups. Also, Math Tools for practicing modular arithmetic and truth tables, or for solving Diophantine equations. Search the Notes, or scan
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 Reflections on Deep Blue  Keith Devlin (Devlin's Angle)
We generally assume that the ability to play a good game of chess requires intelligence when it comes to people. Why not for chessplaying machines as well? Well, here is one argument that shows that things are not so simple. One aspect of human intelligence,
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 Reform Calculus Resources  Harel Barzilai
Many printable activities and worksheets, some with solutions, longterm student projects, capsules and tutorials, and resources for instructors including a sample secondsemester calculus course with inclass groupwork activities, projects, and student
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 Regression Applet  R. Webster West, Dept. of Statistics, Univ. of South Carolina
An applet designed to teach students the effect of leverage points on a regression line. Students may add points to the plot by clicking the mouse button. By adding points far from the existing line, the regression line changes considerably. This is particularly
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 Regression Tools
Online, Flashbased regression tools for linear, logarithmic, exponential, power, polynomial, multiple linear, multiple polynomial, and nonlinear regression.
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 RegressIt  Robert Nau
This free Excel addin macro (xlam) performs multivariate descriptive data analysis, multiple linear regression (with forecasting), and variable transformations. Fitting models with up to 50 variables at one time and up to 32,000 rows of data, RegressIt
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 Regular Graphs  Markus Meringer
Tables of simple connected kregular graphs on n vertices and girth at least g with given parameters n,k,g.
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 Relatively Prime  Samuel Hansen
A series of audio shows "all about the stories behind mathematics," as gathered from interviews with Fields Medalists, composers, "standup mathematicians," and others. Listen to hourlong segments "from the mathematical domain" such as "Chinook," about
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 Relativity and Gravitational Theory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to relativity and gravitational theory: differential geometry, analysis, and group theory applied to physics on a grand scale or in extreme situations (e.g. black holes and cosmology). History; applications
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 Reliable Expert: Math and Statistics Homework Help
Homework help service: send your question, with a fee offer and deadline, and if Reliable Expert accepts your offer, you'll get your answer when you need it.
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 Religious schools inspire math reasoning  B. Bower  Science News Online
Students at ultraorthodox Jewish schools, who study mainly holy texts, outperform most students at mainstream schools on tests of geometric reasoning, perhaps because of the emphasis on reflection and considering different perspectives.
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 The Remarkable Number 1/89  Robert Miner
An overview of the Fibonacci series, interesting facts about it, and a sketch of the proof of why the decimal expansion of the fraction 1/89 contains all the Fibonacci numbers expressed as a sequence of decimal fractions, a fact discovered by Cody Birsner.
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 Remote Interactive Optimization Testbed (RIOT)  Industrial Engineering and Operations Research, UC Berkeley
Interactive educational and research tools for optimization problems. Applications: Learn about practical applications of optimization technology to Major League baseball, openpit mining, computer network design, and modular parts fixturing. Experiment
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 Repeated Prisoner's Dilemma Applet  Mike Shor
A repeated prisoner's dilemma game in which the user plays for twentyfive
rounds against each of five different (unknown) 'personality types'. Demonstrates the value of cooperation and the ability to take advantage of
some simple rules.
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 Replacing Iowa and New Hampshire (Math Chat)  Frank Morgan, MAA Online
Answer to the challenge: Propose a new system for selecting Presidential candidates. Winning answer by Joe Shipman: a year before the primaries start choose five congressional districts at random to have a primary the last week in
January and five more
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 Representations and Cohomology Preprints  Dave Benson
An alphabetical list of dvi and ps files, by author.
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 The Republic of Mathematics  Gary E. Davis
The Republic of Mathematics™ was founded "to promote happy and productive mathematical experiences for all learners, democratize the learning and teaching of mathematics, and help empower students and teachers in their engagement with mathematics."
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 Resampling Stats
Resampling is a statistical method of drawing repeated samples from the given data to determine the value of a parameter of interest. Resampling Stats is a computer program offered for sale (30day free trial, discount for personal or academic use). The
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 Research and Expository Papers by Charles Wells and others  Charles Wells; Case Western Reserve University
Research and expository publications concerning mathematical writing, such as Communicating Mathematics: Useful Ideas from Computer Science; Varieties of Mathematical Prose; Communicating Logical Reasoning; and Handbook of Mathematical Discourse, which
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 Research Experiences for Undergraduates (REU) Program in Mathematics  Cornell University
During the summers of 1996, 1997, and 1998 undergraduates worked on research projects under the direction of Cornell University Mathematics Department members: Analysis on Fractals; Dynamical Systems.
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 Research Group in Mathematical Inequalities and Applications (RGMIA)  RGMIA and Victoria University, Australia
The Research Group in Mathematical Inequalities and Applications disseminates results via publication (both in print and electronic form) and conferences; creates an awareness of the theory of inequalities and support seminars and visiting academics;
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 Research Group on Graph Theory and Combinatorics  Universitat Politècnica de Catalunya (UPC)
A group of about twentyfive members whose research belongs to the area, developing research projects and/or conducting works directed toward Ph.D. dissertations. Includes a searchable publication database and a page on The (Degree,Diameter) Problem for
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 Research in Math Education  Mathematics Education at The Math Forum
Research into the learning and teaching of mathematics: methods; K12 and college undergraduate education (articles, conference sessions); bibliographies; centers; studies; special interest groups; organizations and journals.
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 Research in Practice  Ben BlumSmith
A "math education research digest" by a former teacher, private tutor, and faculty member of Bard College's Master of Arts in Teaching program who went on to pursue his doctoral degree from the Courant Institute of Mathematical Sciences at New York University.
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 Research Interests  Godfried Toussaint
Links to resources, mainly in computational geometry, e.g., mobility of objects in space, degeneracies, quadrangulations, tomography, triangulation, proximity, facility location, and polygonal approximation.
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 Research Interests  Richard Mollin
Notes reflecting the author's interest in the interrelationships between continued fractions and ideal theory. This paper generalizes some independent seminal results by Chowla and Schinzel, later developed by Friesen.
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 Research in Undergraduate Education  1996 AMS/MAA Joint Meetings  The Math Forum
Listings from the AMSMAA Special Session on Research in Undergraduate Mathematics Education.
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 Research Papers  The Geometry Center
Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a nonlinear fashion. Many include movies or interactive pictures. A Tight Polyhedral Immersion of the Real Projective Plane with one Handle
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 Research  Peter Alfeld; University of Utah
Researchrelated materials: An interactive applet that lets you explore the BernsteinBézier form of a bivariate polynomial; recent papers, complete bibliography, recent talks, computer graphics (illustrating various mathematical concepts: US Global Positioning
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 Research Projects and Papers  Department of Statistics, University of Minnesota
Technical reports and other papers, many including some works in progress available online. Technical Report Archive; Document PrePrint Archive. Also a number of research and software projects: XLISPSTAT, the Rcode, An Introduction to Regression Graphics,
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 Resources for Mathematics Education for Biology Students  Louis J. Gross, University of Tennessee
A page of links to WWW resources for mathematics training for biology students, collected with assistance from the Education Committee of the Society for Mathematical Biology, an extension of the Quantitative Curriculum for Life Science Students project.
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 Resources for Spreadsheet Analysts  Thomas A. Grossman, University of San Francisco
Addins, templates, standalone software and resources that assist in building models, performing analysis, distributing models to other people, compliance, and managing spreadsheet information systems and spreadsheet model assets. Categories of resources
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 Resources for Tan's Applied Calculus  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Calculus, Fourth Edition. Also, stepbystep instructions
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 Resources for Tan's Applied Finite Mathematics  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Finite Mathematics, Fifth Edition. Also, stepbystep instructions
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 Resources for Tan's Calculus for Managerial, Life and Social Sciences  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Calculus for Managerial, Life and Social Sciences, Fifth Edition.
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 Resources for Teachers of Developmental Mathematics (MAA)  Mathematical Association of America
A page assembled by the ad hoc Subcommittee on Developmental Mathematics, with the beginnings of an annotated bibliography of articles related to developmental mathematics, including articles on the adult learner of mathematics and experimental programs
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 Resources for the Teaching of Complex Analysis  Paul Fishback
The page includes: sample F(z) for Windows files (downloadable: for each example, an F(z) file is listed along with an MS WORD document describing the F(z) file and its creation in greater detail; a TI86 program that approximates contour integrals using
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 Resources for Undergraduates in Mathematics (MAA)  Mathematical Association of America
Answers and links to sites that answer questions such as: What can I do with a math major? Where can I find help on finding the first job? What has been the experience of other students? What are some other resources?
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 The RetroPsychoKinesis Project  Peter Moore and John Walker
Retropsychokinesis (RPK) is the claimed ability of certain subjects to alter random data generated, but not examined, prior to the time the data are presented to the subject. Read about or run bell curve, clock face, or pendulum feedback programs (Java
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 Retrosheet
Digitizing playbyplay accounts of Major League Baseball games from the past century through the present. Freely download event files, which detail "literally every play" in big league baseball; game logs; schedules; narratives, which provide text playbyplay
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 The Return of Odysseus and the Elements of Euclid  Andrew Wiesner; Classics Dept., Colorado College
The author's 1994 honors thesis, which attempts to shed new light on the origins of Greek mathematics.
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 Return of the Mathematical Tourist  Ivars Peterson (MathTrek)
In the newly published, updated edition of The Mathematical Tourist, Peterson writes, "...computers have become commonplace tools used by nearly all mathematicians, not only to communicate with each other but also to explore mathematical questions...
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 The Return of Zeta  Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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 Return to Socrates  Ion Saliu
BASIC programs for download cover topics such as the birthday paradox, card shuffling, bell curves, permutations, combinations, and a wide range of games of chance, including lotteries, lottos, Powerball, Mega Millions, Pick3, Pick4, Keno, roulette,
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 Reuleaux Triangle  Paul Kunkel
An investigation into the Reuleaux triangle and its properties.
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 ReviewMaster  Intecube Technologies Ltd.
Math review material suitable as reference guides, study aids, or teacher aids for students and teachers. Available for laptops as eBooks, and for handhelds such as the Palm PDA and the Pocket PC.
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 Reviver: A Practical Provable Surface Reconstructor
Free surface reconstructor software that turns unorganised point clouds to surfaces, in a variety of output formats.
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 Ricci: A Mathematica package for doing tensor calculations in differential geometry  John M. Lee, Dept. of Mathematics, Univ. of Washington
Ricci has the following features and capabilities: manipulation of tensor expressions with and without indices; implicit use of the Einstein summation convention; correct manipulation of dummy indices; display of results in mathematical notation, with
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 Rice Computational Mathematics Laboratory  R. O. Wells, Jr., Director; Rice Univ., Houston, TX
A mathematics laboratory collaboration. CML's current research efforts concern wavelet theory and its application in a variety of areas of numerical analysis and signal processing, especially the Automatic Target Recognition (ATR) program.
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