 Computation of Discrete Logarithms in Prime Fields  LaMacchia, Odlyzdo; AT&T Bell Laboratories, NJ
The presumed difficulty of computing discrete logarithms in finite fields is the basis of several popular public key cryptosystems. The secure identification option of the Sun Network File System, for example, uses discrete logarithms in a field GF(p)
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 Computation Take a Quantum Leap  Ivars Peterson  Science News Online
A quantum computation involving a custombuilt molecule furnishes experimental evidence that a quantum computer can determine the order of a permutation more efficiently than can a conventional computer. For their quantum computer, Isaac L. Chuang of
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 Computer Aided Learning in Mathematics (CALM)  Department of Mathematics at HeriotWatt University, Edinburgh
Developments in ComputerAided Learning and Assessment, as well as software, academic papers and other information produced by the CALM group. Download the demo for Interactive PastPapers, an exam simulator and personal tutor. Links to course guide, worksheets
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 ComputerAided Teaching of All Mathematics (CATAM)  University of Cambridge
The ComputerAided Teaching of All Mathematics (CATAM) Computational Projects courses provide an education in solving mathematical problems using a computing environment. Emphasizing the development of mathematical skills rather than programming abilities,
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 Computer Algebra and Problem Solving Environments  Stanly Steinberg
Abstract for Stanly Steinberg's article in Comparative CAS Reviews and Philosophy, suggesting six ways computer algebra systems could be improved.
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 Computer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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 Computer Algebra Systems in Calculus Reform  Lisa Denise Murphy
A literature review that starts with a brief history of the calculus reform movement and goes on to describe several studies in which computer algebra
systems (CAS) were used in introductory calculus courses. With the beginnings of an annotated list
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 Computer Animated Statistics  Adriano Garsia, University of California, San Diego
Java applets for probabilistic studies of picking fortunes from a limited supply of fortune cookies, picking prizes from an unlimited supply of cereal boxes, and Breaking the Bank (roulette). Also, Let's Make a Deal, an interactive solution to the Monty
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 Computer Art and Tessellations  Hans Kuiper
A site about tessellations (tiles, tessels or regular patterns), infinity pictures, optical art, Islamic art, optical illusions, auto stereograms, company logos, quilt patterns and palindromes. Figures, patterns, textures and wallpaper drawings inspired
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 ComputerBased Assessment  Univ. of Wolverhampton (UK)
Designed to replace written tests. Each test generates an exam randomly from a possible 80,000 variations and then delivers, marks and gives feedback on it. Tests are now available free for others to use and include: basic statistics test (topics include
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 ComputerBased Calculus  Przemyslaw Bogacki, Gordon Melrose; Old Dominion University
Archives of the ODU Calculus Project project, which has the goals of enhancing students' graphical and numerical understanding of calculus, and making the software/hardware aspect of the course as transparent as possible. With access to the preliminary
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 The Computer Delusion  Todd Oppenheimer, The Atlantic Monthly magazine
A July 1997 article critical of the effects of the classroom use of computers.
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 Computer Generated Art Gallery  Tom Ellis
Original computergenerated fractal images. Mandelbrot Sets; Mandelbrot zoom rendered onto a sphere.
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 Computer Generated Islamic Star Patterns  Craig S. Kaplan
Islamic star patterns are a beautiful and highly geometric art form whose original design techniques are lost in history. This site describe one procedure for constructing them based on placing radiallysymmetric motifs in a formation dictated by a tiling
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 Computer Graphics  Brad Shelton; Dept. of Mathematics, University of Oregon.
Thirty computer graphics (knots, braids, a mobius trough) and four movies (torus, spirograph) created with Mathematica.
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 Computer History Museum
The Computer History Museum presents and preserves for posterity the artifacts and stories of the information age. Exhibits include histories of the Internet and of computer chess; and a working model of the Babbage Engine, first undertaken by that mathematician
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 Computer Lab Courseware  University of Toronto
Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under XWindows. A lab manual in TeX beginning with an introduction to UNIX and
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 Computers and Education  Crawford Kilian
Links to interesting and useful sites, advice on how to join some good listservs, and some of Kilian's articles on what computers and educators are doing to each other, including "Why Teach Online," "Education@Home," "Spinning a New Web of Learning,"
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 Computers and Internet : Hardware : Calculators : Hewlett Packard  Yahoo
Yahoo's Web page of sites having to do with HP Calculators.
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 Computer Science  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to computer science, today more accurately a separate discipline that considers a number of rather
mathematical topics. In addition to computability questions arising from many problems in discrete
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 Computer Science Education Week  National Computer Science Education Week
The materials from Computer Science Education Week inspire exploration of the field any time: defining documents; posters, brochures and kits; reports and presentations; data/computer science facts; curriculum; programs and ideas; videos; and contests.
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 Computer Science & Mathematics Directory  Israel Science and Technology Homepage; Israel Hanukoglu
Directory listings for academic departments, companies, government agencies, libraries, service centers, associations, and conferences in Israel. Also links to databases and journals. From Israel's national directory of science and technology.
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 Computer Science Unplugged  Tim Bell, Ian H. Witten, and Mike Fellows, University of Canterbury, New Zealand
A free collection of activities designed to teach the fundamentals of computer science without requiring a computer. Because they're independent of any particular hardware or software, Unplugged activities can be used anywhere, and the ideas they contain
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 Computers, Free Will, and Marching Ants (Math Chat)  Frank Morgan; Christian Science Monitor
Is it logically possible for a computer to have free will?
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 Computer Simulations in Physics  Maciej Matyka
Physically based modelling simulations. Examples: Simple Newton Dynamics; Particle Dynamics Engine; Waves equation; Cellular automata; Incompressible NavierStokes; Fluid Calculations; Quantum Mechanics; Rigid Cloth Behaviour Classical and quantum physics,
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 Computer Software for Math Education  Math Forum
The Math Forum's page of suggested archives for downloading mathematics software.
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 Computer Solution Central
Shareware games for Windows machines and PDAs. Includes a free solitaire game, educational games focusing on addition and multiplication, and a date calculator.
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 Computing at the Edge  Ivars Peterson  Science News Online
To study and predict boundary effects, researchers have struggled to accurately capture erratic, complicated behavior in a computer model. In recent years two schemes for calculating what happens at rapidly evolving interfaces have provided new insights
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 Computing Before Computers  Brian Borchers, New Mexico Institute of Mining and Technology
Online introductions, with PostScript or PDF downloads, of Napier's Bones and of the GenailleLucas Rulers. Pictures of statistical computing devices such as the Pickett N525ES Statrule, the cumulative binomial probability computer, the General Dynamics
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 Computing Fibonacci Numbers on a Turing Machine  Alex Vinokur
An algorithm that computes Fibonacci numbers on a Turing Machine. Transition table contains 100 rules. The program computes a Fibonacci number. A number 'n' is represented by n 1s. Input: number 'n'. Output: Fibonacci#n.
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 Computing Huffman Codes on a Turing Machine  Alex Vinokur
An algorithm that computes Huffman codes on a threetape Turing Machine. Transition table contains 243 rules. Input: Tape#0  weights, Tape#1  empty, Tape#2  empty. Output: Tape#0  weights and its Huffman codes, Tape#1  empty, Tape#2  empty.
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 Computing in a Surreal Realm  Ivars Peterson (MathLand)
Even among mathematicians, the study of surreal numbers is an obscure pastime. Only a few have occupied themselves in recent years exploring the peculiarities of a number system that includes different kinds of infinities and vanishingly small quantities.
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 Computing Minimal Equal Sums Of Like Powers  JeanCharles Meyrignac
A distributedcomputing project on equal sums of like powers, for "all those who are fascinated by powers and integers," and the place to look for the current status of the problem. Download and install Euler2000 to participate.
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 Computing Science: A Question of Numbers  Brian Hayes; American Science
An article about the ISC (Inverse Symbolic Calculator) and numbers. "In my daydream, Neil Sloane and Simon Plouffe are contestants on "Jeopardy," the TV game show. Sloane picks the category "Integer Sequences" for $400, and Alex Trebek reads the answer:
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 Computing Technology for Math Excellence  Patricia Deubel
Computing Technology for Math Excellence (CT4ME) is devoted to resources for teaching and learning mathematics (K12 and calculus) and the standards movement in education. Math resources include links to sites for basic skills mastery, problem solving
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 Computing the Hausdorff Measure and Dimension of Fractals Generated by Möbius Transforms  Mark Krosky, Cornell University
An illustrated paper by a Cornell Univ. graduate student. Abstract: Möbius transforms are an important class of conformal maps. By studying fractals they generate, we can gain more information about groups of Möbius transforms. A discussion
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 Computing with the EDSAC  Ivars Peterson (MathLand)
The celebration earlier this year of the fiftieth anniversary of the unveiling of the ENIAC, the first electronic, generalpurpose computer, has focused attention on the early history of computing. In the 1940s, there were no computer scientists, no software
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 Compvter Romanvs (Natural Math)  Edward R. Hobbs
A Roman numeral calculator. "Caesar has proclaimed Compvter Romanvs to be the official calcvlator of the Roman Empire. Yov now have at yovr disposal the latest in high technology to assist in all manner of nvmerical problems. Yes, whether yov're bvilding
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 Concentric Geometric Hierarchies  Kirby Urner, 4D Solutions
Exhibit 1 is a JavaScript demo exhibit of the concentric hierarchy from the tetrahedron out to the rhombic dodecahedron. The shapes are all 2.3.4fold symmetric. A status bar shows the volumes of the shapes when you select an isolated view. A cumulative
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 The Concept and Teaching of PlaceValue  Rick Garlikov
A theoretical explanation about (the problem of) teaching PlaceValue to children, with a practical method given based on that explanation.
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 Conceptual Learning Materials  Conceptual Learning Materials, Inc.
Support materials intended to reinforce basic math concepts. Materials for teachers as well as students.
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 Conceptual Math Media, Inc.
Math educational products for both the classroom and family. Master multiplication facts and divisibility rules with PrimePak playing cards; create equations crosswordstyle with the Equate board game, also available via email. Order products online
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 Conceptua Math  Conceptua Math
A commercial company offering software and professional development for mathematics education. Fractions Tools, which consist of problems and standardsaligned lessons on fractions, are currently available for free. Accompanying Student Activities, which
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 Concurrency Points in a Triangle  Brakalova, Johnson, Scalzitti, Thornberry; The Geometry Center
An interactive Webbased exploration designed to facilitate the teaching of triangle concurrency, both as an integral part of a geometry curriculum and as enrichment material. These pages can be used by individual students as a computer exploration, as
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 Concurrent Triangles  Jim Wilson
Sketches and scripts exploring various concurrencies in triangles.
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 Condorcet.org  Blake Cretney
Theories on voting and social choice. Learn about an electoral method called "ranked pairs" and download software to tabulate other voting methods. The Election Methods Resource enumerates "single winner" and legislative approaches to running elections.
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 Cone, Cylinder Edges?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about whether cones or cylinders have edges, such as "Does a cone have an edge? A vertex?"
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 Cone Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the height, surface area, and volume of a cone, right circular cone, or frustum of a cone.
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 Cone Layout  Jock Dempsey, Dempsey's Forge
A flat layout showing that the ratio or percentage of the layout circle is also the sine of half the angle of the top of the cone. If you want a cone with a 90degree point, the ratio is the sine of half the angle of the point.
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 Conference Board of Mathematical Sciences (CBMS)
The Conference Board of the Mathematical Sciences is an umbrella organization consisting of sixteen professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences.
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