 Commutative, Associative And Distributive Properties (SMILE)  James E. Breashears, Robeson High School
A lesson designed to teach students to compute expressions like (56 + a) + 4 and (50 * 7) * 2; to identify the commutative and associative properties; and to rewrite expressions by using the distributive property. From the Algebra and Trigonometry section
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 Commutative Rings and Algebras  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to ring theory. Commutative rings are sets like the set of integers, allowing addition and (commutative)
multiplication. Of particular interest are several classes of rings of interest in number theory,
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 Commutative Semigroups (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition and examples of commutative semigroups. A link to general information about semigroups.
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 Comparative Chronology of Money  Glyn and Roy Davies
This site chronicles monetary history from ancient times to the present day. The information presented is based on the book, "A History of Money." The timeline starts from 9000 BC and goes through 2002 AD.
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 Compare It!  Anne Moncure Elementary, Stafford, VA
Interactive quizzes designed to teach elementary school children about boolean operators greater than, less than, equal, and others using numbers, words, and objects.
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 Comparing Fractions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about comparing fractions, putting them in order, and defining equivalent fractions.
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 COMPASS: Curricular Options in Mathematics Programs for All Secondary Students  Linda A. Roach
COMPASS provides information and assistance with the implementation of five comprehensive curriculum projects that support the Standards set forth by the National Council of Teachers of Mathematics (NCTM): Application Reform in Secondary Education (ARISE);
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 Compasswallah
Hoping to "exhume the analog geometry of ancient discoveries for a confrontation with the digital age," Compasswallah analyzes and looks at the history of astronomy, surveying, geodesy, cartography, geomagnetism, geometry, scientific instruments, analog
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 A Compendium of Common Probability Distributions  Michael P. McLaughlin
An online (PDF) encyclopedia listing probability distributions and their properties.
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 A compendium of NP optimization problems  Crescenzi & Kann
A continuously updated catalog of approximability results for NP optimization problems. Because no NPcomplete problem can be solved in polynomial time (unless P=NP), many approximability results (both positive and negative) of NPhard optimization problems
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 CompGeom  mailing list  Sariel HarPeled
A Web archive of discussions on computational geometry mailing lists.
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 Compgeom Mailing Lists  Ken Clarkson
Mailing lists for announcements, and discussions, for those working or interested in computational geometry. The listserver for compgeom is provided using netlib, which is an electronic library at research.belllabs.com that includes software, bibliographies,
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 Compleat Sine Wave, Fourier Series  Bill Finzer, Key Curriculum Press
Two "FPU Necessary [Geometer's] Sketches," one that illustrates Fourier series and another that draws a sine wave and lets you change the phase, amplitude, and frequency dynamically.
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 Complete Analysis of the Binary GCD Algorithm  Brigitte Vallée, Université de Caen, France
Lecture notes (summary by Cyril Banderier). Introduction; A Ruelle Operator for a Tauberian Theorem; The Other Two Parameters; All Roads Lead to Rome; References. In English.
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 Completing Latin Squares  Ivars Peterson (MathTrek)
Using only the numbers 1, 2, 3, and 4, arrange four sets of these numbers into a fourbyfour array so that no column or row contains the same two numbers. The result is known as a Latin square... in Latin squares of order 4, each row (and each column)
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 Completing the Square  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about completing the square, with diagrams, geometry, and alternate methods.
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 Complex Analysis (Graphics Archive, Special Topics)  The Geometry Center
Research involving maps of one or more complex variables.
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 Complexification  Jared Tarbell
View interactive, open source Java applets of fractals and other mathematically significant graphics.
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 Complexity International  An Electronic Journal of Complex Systems Research
A refereed journal for scientific papers dealing with any area of complex systems research. The theme of the journal is the field of complex systems, the generation of complex behaviour from the interaction of multiple parallel processes. Relevant topics
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 The Complexity of Geometric Constructions  François Labelle
Efficient constructions with straightedge and collapsing compass (the geometric tools of Euclid). The question of what can and cannot be constructed with this model of computation is basically answered by Galois Theory. This document deals with the minimum
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 Complexity Online  University of New South Wales
A scientific information network about complex systems, structures and processes that involve nonlinearity. Topics in complexity include artificial life, cellular automata, chaos, evolutionary computation, fractals, genetic algorithms, neural networks
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 Complex Numbers and Trigonometry  Hillman, Alexanderson, Newton
A text that presents an innovative introduction to trigonometry through the use of complex numbers. It is based on a high school text now out of print, but is most useful as a supplement for early college students not quite ready for calculus because
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 Complex Numbers  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A series of articles on the algebraic structure of complex numbers and their application to solving various problems in algebra and geometry. Several of the discussed features, for example, real and complex products, are drawn from very recent literature
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 Complex Numbers (Manipula Math)  International Education Software (IES)
Java applets to investigate complex numbers, their reciprocals, powers, and other selected functions. (One function leads to a fractal.)
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 Complex Numbers & Trig  Alan Selby
Complex Numbers and the Distributive Law for Complex Numbers, offering a short way to reach and explain trigonometry, the Pythagorean theorem, trig formulas for dot and crossproducts, the cosine law, and a converse to the Pythagorean theorem. A geometric
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 Complex number to a complex power may be real  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A proof using Euler's formula.
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 Complex, Technology Based Problems in Calculus  Math Department, RoseHulman Institute of Technology
Nearly 100 problems with a higher level of complexity than traditional textbook problems and that foster use of a computer algebra system. Problem categories include: antidifferentiation, data fitting, difference equations, differential equations, and
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 Complex Variables (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and precollege complex variables. Complex Numbers: Basic Definitions and Arithmetic, The Complex Plane, The Polar Form
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 Composition of Functions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about composition of functions, including evaluating them and determining the domain of a composite function,
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 Compound Interest to e and i  Don Cohen (The Mathman)
Graphing and exploring simple interest and compound interest. Examples of interest earned on one dollar at 6 percent compounded daily, monthly, quarterly, annually. Patterns, infinite sequence. Sample problems with some answers from Chapter 11 of Don
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 A comprehension tool for mathematics?: the Math Forum @ Drexel's Online Mentoring Guide  Renninger, Ray, Luft, and Newton
Two studies of the Math Forum's Online Mentoring Guide (OMG) address whether and how online comprehension tools might support mathematics learning. In Study 1, the culture of the preservice teachers' (PTs') mathematics classroom and their work with the
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 Comprehensive School Mathematics Program (CSMP)  Midcontinent Regional Educational Laboratory (McREL)
A K6 mathematics curriculum from the Midcontinent Regional Educational Laboratory (McREL) that focuses on problem solving, concept development, and other higher cognitive processes following the NCTM Standards. The program requires special preparation;
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 Comprehensive TeX Archive Network (CTAN)  Jens Toivo Berger Thielemann
Links to more than 30 FTP sites around the world that provide TeXrelated software.
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 Compressible Aerodynamics Calculator  William J. Devenport
Computes the standard relations for compressible flow of a perfect gas.
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 comp.softsys.math.mathematica  Math Forum
A moderated discussion group that provides an opportunity for users of the software package Mathematica to help each other; occasionally, Mathematica's developers participate as well. Read and search archived messages; and register to post to the discussions.
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 comp.softsys.matlab  Math Forum
An unmoderated discussion group, available via the Math Forum's archive (from which you can view messages, search them, and register to post), or in mailing list or newsgroup format, providing an opportunity for users of the software package Matlab to
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 Comptometer  Biography of a Machine  Brooke W. Boering
A site on the early development of the business calculator around the turn of the twentieth century in America. Learn about the various models of comptometers, their features, and how to identify them; Dorr Eugene Felt, their inventor, and the company
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 Computability Theory  Peter Cholak
A resource for computability theorists. Includes a Bibliographic Database for Computability Theory; Open Questions in Recursion Theory: LaTeX or dvi; a link to the Association for Symbolic Logic; and links to pages of people who work (or have worked)
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 Computational & Applied Mathematics @ Penn State
Faculty, Seminars, Graduate Program, Research, Publications, Picture Gallery, Links and more.
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 The Computational Beauty of Nature  Gary William Flake
Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation: a companion site for a book by Gary William Flake, "affectionately known as 'The Fish and Chips Book'." Contains applets and source code.
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 Computational Complexity (CC)  Birkhäuser Verlag AG, Switzerland
CC presents outstanding research in computational complexity. Its subject is at the interface between mathematics and theoretical computer science, with a clear mathematical profile and strictly mathematical format. You may download a free electronic
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 Computational Geometry  arXiv.org ePrint archive
The computational geometry section of the Computing Research Repository (CoRR), moderated by Joseph O'Rourke. Recent papers.
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 Computational Geometry Code  Jeff Erickson
Links to implementations of geometric algorithms and software. Most of the software is available free of charge. Unless otherwise specified, C or C++ source code is available for all programs. Software libraries and collections and programs that can be
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 Computational Geometry  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to computational geometry, intended for topics whose geometric aspects are fairly straightforward, but for which the main questions involve efficient, accurate computation. A number of geometric questions
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 Computational Geometry (Graphics Archive, Special Topics)  The Geometry Center
Understanding algorithms that solve problems in Geometry.
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 The Computational Geometry Impact Task Force Report  Jeff Erickson
In April 1996, Bernard Chazelle's Computational Geometry Impact Task Force published a report entitled "Application Challenges to Computational Geometry" about the relation between computational geometry and various application fields. The report is available
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 Computational Geometry  Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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 Computational Geometry on the Web  Godfried Toussant; McGill University, Montreal, Quebec, Canada
A list of general links to computational geometry pages, and specific links related to course material.
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 Computational Geometry Pages  Jeff Erickson
A comprehensive directory of computational geometry resources both on and off the Internet. General Resources, Literature, Research and Teaching, Events, Software, other links. Also found at http://compgeom.cs.uiuc.edu/~jeffe/compgeom/.
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 Computational Geometry Resources  School of Computer Science, Carleton Univ., Ottawa, Ontario, Canada
A comprehensive listing of computational geometry resources on the Internet, including: Indexes; Centres in North America, Europe, and Australasia; Literature; Newsgroups, FAQs, and Newsletters; Software libraries; and other miscellaneous sites.
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