 Crystallographic Topology  Johnson, Burnett, Oak Ridge National Laboratory
The Topology of Crystallographic Groups and Simple Crystal Structures. A tutorial on some applications of Geometric Topology to Crystallography. The topology of crystallographic groups is approached using orbifolds, and that of simple crystal structures
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 CrystalMaker
A Macintosh program to display and manipulate all kinds of crystal structures. Using the free companion program, CrystalDiffract, CrystalMaker files can be used to generate xray and neutron powder diffraction patterns. Main features: In "PhotoColour"
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 CS22: Discrete Math  Brown University
An introduction to discrete math with a focus on proof, logic, proof by induction, cryptography and networks of processors: lessons, homework, solutions, and information. "Discrete mathematics" refers to the distinction between discrete sets (for example,
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 CS Bits & Bytes  The National Science Foundation
CS Bits & Bytes highlights innovative computer science research, often at the intersection with other disciplines, and includes profiles of the individuals in the field, links for further exploration, and interactive activities. Past issues of the
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 C++ Simulator of a Post Machine  Alex Vinokur
The program simulates Deterministic and Nondeterministic Multitape Post Machine. The following demo Post machines are demonstrated with using the C++ Simulator: an addition of one to a number (Deterministic, 1 tape), an addition of two numbers (Deterministic,
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 C++ Simulator of a Turing Machine  Alex Vinokur
A program that simulates the deterministic and nondeterministic multitape Turing Machine. The following demo Turing machines are demonstrated with using the C++ Simulator: an addition program deterministic, 1 tape), an addition program with marker (deterministic,
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 C++ Simulator of a Universal Turing Machine  Alex Vinokur
The program simulates a Universal Turing Machine (UTM). The UTM used in
the Simulator is threetape Turing Machine: Tape#0 contains transition
table and initial instantaneous description of a Particular Turing Machine
(TM); Tape#1 and Tape#2 are
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 CSIRO Mathematical and Information Sciences  CSIRO
From Australia's Commonwealth Scientific and Industrial Research Organisation (CSIRO), research in environmental measurement and assessment; manufacturing, resources and finance; biotechnology, imaging and informatics; organisational performance measurement;
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 CT Category Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Category 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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 C.T.J. Dodson  Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and precalculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
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 The CTK Exchange  Interactive Math Miscellany and Puzzles, Alexander Bogomolny
A page devoted to questions and answers concerning Bogomolny's pages and math in general. Postings are approved by Bogomolny, and usually answered by him, although they may be answered by the general public as well. Posting topics vary all the way from
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 CTK Math Games for Kids  Interactive Math Miscellany and Puzzles, Alexander Bogomolny
This site presents a collection of Javabased interactive games and puzzles with mathematical contents and a few practice exercises disguised as games. Alexander Bogomolny, the site's author, writes, "There are a few games whose purpose is to allow for
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 Cubes of Perfection  Ivars Peterson (MathTrek)
...Six is the smallest perfect number. Twentyeight comes next. Its proper divisors are 1, 2, 4, 7, and 14, and the sum of those divisors is 28. Incidentally, if the sum works out to be less than the number itself, the number is said to be defective
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 Cubeworld  Hank Gross
Cubeworld: an adventure in solid geometry. This book, with 21 illustrations by the author, is in the tradition of Edwin Abbott's classic Flatland and explores what might happen if the Earth were transformed into a cube. Gravity is different, rain falls
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 Cubic and Quartic Equations  Math Forum, Ask Dr. Math FAQ
General solutions to cubic and quartic polynomial equations.
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 Cubic surfaces  MacTutor Math History Archives
Linked essay on the history of surfaces of order three.
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 CUE (ComputerUsing Educators)  CUE, Inc.
A nonprofit California educational corporation that supports an active membership of more than 10,000 professionals from within and outside California, in schools, community colleges, colleges, universities, related institutions, and related fields.
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 CULAtools: GPUAccelerated Linear Algebra Library  EM Photonics, Inc.
CULA is a GPUaccelerated implementation of the LAPACK numerical linear algebra library, containing several of the most popular LAPACK functions, using NVIDIA’s CUDA™ architecture. CULA Basic is free and available for download; academic licenses of CULA
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 Culturally Situated Design Tools: Teaching Math through Culture  Ron Eglash
Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, PreColumbian pyramids, and rhythm wheels  and learning the mathematics behind them. Organized into African, African
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 CUNY Games Network  CUNY Academic Commons
Blog about the pedagogical uses of both digital and nondigital math games, how they improve student success, and how they encourage research and scholarship in the developing field of gamesbased learning. Posts, which date back to July, 2011, have included
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 Curriculum Development: NSF Awards  Mathematics Education at the Math Forum
A list of math curriculum development projects constructed by means of a text search of the NSF awards database. Each link leads to an abstract of the project, stored at the NSF World Wide Web Server. The first two digits of the numbers that appear to
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 Curriculum Development Projects  Mathematics Education at the Math Forum
The Math Forum's suggested sites on curriculum development in math education, including projects sponsored by the NSF and others.
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 Curriculum Development via Literary and Musical Forms  Joel K. Haack, Dept. of Mathematics, Univ. of Northern Iowa; the Math Forum
An article presented at the Humanistic Math session of the Joint Mathematics Meetings, January 1013, 1996, in Orlando, Florida. Haack's article discusses how the literary and musical forms can help develop a path through mathematical knowledge, envisioning
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 Curriculum  Math  Schoolinfosystem.org
"Curated education information" about mathematics curriculum. Posts reproduced from newspapers and other sources, which date back to April, 2004, have included "Math Teachers Speak Up"; "The Last Time You Used Algebra Was ..."; "Askey on Elementary Math
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 Curve Family Index (Visual Dictionary of Special Plane Curves)  Xah Lee
A discussion of the many ways to classify curves, how they are named, a curve family tree, and interconnection between curves, with related Web sites about fractals and curves. Hosted by the Math Forum.
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 Curve Fit XYZ Computer Program  William L. Meyer Jr.
Windows software in C developed to curve fit data for algorithm definition. See also Spline Curve Fit 3D for complex threedimensional surfaces.
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 Curves and Lying Calculators  Ivars Peterson (MathLand)
The pictures generated by a graphing calculator depend on the number of pixels in the display. The TI85 has 63 rows and 127 columns in its display (a total of 8,001 pixels). "This configuration of pixels defines what we actually see and, therefore, sometimes
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 Curves on Baseballs  Ivars Peterson (MathTrek)
It's that time of year again (at least in North America), when the thoughts of many sports fans turn to baseball. Over the years, the game has also attracted the attention of mathematicians and statisticians intrigued by the rules, geometric considerations,
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 Curving Beyond Fermat  Ivars Peterson (MathTrek)
"When Andrew Wiles of Princeton University proved Fermat's last theorem several years ago, he took advantage of recently discovered links between Pierre de Fermat's centuriesold conjecture concerning whole numbers and the theory of socalled elliptic
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 Curvus Pro X  Jean Bovet, Simon Bovet, Arizona Software
Curvus Pro X is a powerful and userfriendly equation graphing software designed for Mac OS X. It has been designed specifically to handle complex mathematical expressions and plot them in a few clicks. 2D and 3D functions can be entered using its intuitive
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 Cutting Corners  Ivars Peterson (MathLand)
Go to just about any college campus or public park and you're bound to see two kinds of trails: "official" paths defined by paved or gravel surfaces and "unofficial" routes trodden into the grass or dirt marking where pedestrians have preferred to walk
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 The Cutting Sticks Problem  Frans Faase
A classic math puzzle: You are given k sticks with integer length of which the total length of sums up to n(n+1)/2. None of the sticks is shorter than n. Can you always cut them into sticks with length 1, 2, up to n, no matter the number of the sticks
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 CV Complex Variables (Front for the Mathematics ArXiv)  Univ. of California, Davis
Complex Variable 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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 CyberExam (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
A place for students and educators to check out sample tests, midterm exams, final exams, quizzes, projects, etc... in Mathematics. To submit an exam, please fax or email your material to S.O.S. MATHematics. (If you are a student,
please ask your instructor
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 Cybermath  Gustav Taxén, Ambjörn Naeve, Olle Sundblad, Pär Bäckström and Sören Lenman
An avatarbased collaborative virtual exploratory environment for math. Trial version for Windows is available free.
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 Cybernetics and Systems Theory  F. Heylighen; Principia Cybernetica Web
General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy
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 CyberStats  CyberGnostics, Inc.
A complete online introductory statistics course, including: a focus on data analysis and conceptual understanding rather than computation; over 600 interactive applets; real data in realworld settings; a builtin, simple, and free course management
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 Dadaviz  León Markovitz and Jishai Evers
Interactive data visualization curated from thirdparty sources. Infographics, which date back to April, 2014, have included "GDP per Continent & Country," "The major causes of death in the 20th Century," "4_21 Polytope Visualized," "The Changing Arctic,"
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 Dagra: Digitize Graphical Data  Blue Leaf Software
Software to digitize data from graphs for use in numerical calculations, modeling and analysis. For Windows platforms. Free trial, and moneyback guarantee, offered.
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 Daily Desmos  Anderson, Dan; Fenton, Michael; and Lanier, Justin
A daily challenge to reproduce a given graph using Desmos or some other graphing calculator. Teachers Anderson (NY), Fenton (CA), and Lanier (NY) rate the plots by difficulty. Also available from http://dailydesmos.blogspot.co.uk/.
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 Daina Taimina
Hyperbolic crochet, talks, publications, and other resources from the mathematician and fiber artist. See and read more about Taimina's fiber sculptures by visiting her artwork and blog. Books by this adjunct associate professor in the Department of Mathematics
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 DA Information  David Hoffman
An introductory course in decision analysis, with lecture notes and instructions for projects.
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 Dana Mackenzie
Author of The Universe in Zero Words and The Big Splat, or How Our Moon Came to Be, freelance mathematics and science writer Dana Mackenzie also contributes to the series What's Happening in the Mathematical Sciences published by the American Mathematical
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 The Dance of Chance Science Museum Exhibit  Center for Polymer Studies, Boston University
An online version of an exhibit focused on the emergence of patterns in Nature from physical and biological processes that appear to be chaotic. Exhibit kiosks, many of which are fractals, include Music of the Heart, Frozen Lightning, Erosion, Viscous
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 Dancing Chaos  Ivars Peterson (MathTrek)
Music, dance, and chaos... The image on the computer screen resembles a delicate, stylized butterfly with translucent wings held lazily askew. It's called the Lorenz attractor, named for meteorologist Edward N. Lorenz of MIT, who in 1963 discovered this
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 Dancing Statistics  British Psychological Society
Four short films demonstrating statistical concepts through dance. Each video clip intersperses clips of modern dance with observations and prompts that relate spacing, timing, and other aspects of the dancers' positions and movements to statistics concepts
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 Daniel J. Velleman  Daniel J. Velleman, Department of Mathematics and Computer Science, Amherst College
In addition to Velleman's selected papers, link to his books, software, and unpublished papers, including Proof Designer, a Java applet designed to help students learn to write proofs in elementary set theory by outlining the steps of proofs under the
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 DanielSoper.com  Soper
Statistics calculators from the California State University (Fullerton) professor of information systems and decision sciences: analysis of variance (ANOVA), beta distribution, beta function, binomial distribution, chisquare distribution, confidence
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 The Danish Mathematical Society
A society for the benefit of mathematics in research and education. Meetings, publications, and membership information. Site also available in Danish.
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 d'Arbeloff Interactive Math Project  Massachusetts Institute of Technology
Java applets, with help documentation, for exploration: Amplitude and Phase, Beats, Complex Exponential, Complex Roots, Convolution (accumulation or flip and drag), Damped Vibration, Damping Ratio, Euler's Method, Forced Damped Vibration, Fourier Coefficients,
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