- Channeling quantum information efficiently - Ivars Peterson - Science News Online
By carefully choosing how a message is encoded and decoded, it's possible to approach the theoretical maximum for transmitting information via photons or other quantum particles.
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- Chaos and Fractals - Joakim Linde; Chalmers Tekniska Högskola
A small fractal image gallery gallered with Fractus software, Fractint parameter files, a fractal icon archive, and links to other fractal sites.
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- Chaos and Fractals - ThinkQuest 1996
Chaos is an advanced field of mathematics that involves the study of dynamical systems or systems in motion. Chaos Theory consists of the mathematical proofs and theories that attempt to describe processes in motion. Think of any
mathematical system
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- Chaos and the Solar System - Paul Trow
An essay on the historical development of chaos theory, especially as it relates to the solar system.
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- Chaos at Maryland - The Chaos Group, the University of Maryland at College Park
Research in chaotic dynamics: the theory of dimensions, fractal basin boundaries, chaotic scattering, controlling chaos, and more. Read research papers, link to Daniel P. Lathrop's Nonlinear Dynamics Lab and the Pattern Formation Laboratory, learn about
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- Chaoscope - Nicolas Desprez
Software to render 3D strange attractors such as IFS, Julia, Lorenz, and pickover. Browse the gallery, participate in the monthly contest, check the freeware's manual, learn from tutorials. Also available at http://www.btinternet.com/~ndesprez/.
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- Chaos Demonstrations - Michael Cross
Two versions each of three Java applets - an "old, stable" version and a "new, trial" version for the Period Doubling Route to Chaos, the Lorenz Attractor and the Butterfly Effect, and Chua's Circuit. Created for an introductory course on Chaos at Caltech
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- Chaos Downloads (Chaos: The Software) - Gordon, Rucker, Walker; Autodesk, Inc.
A shareware release of James Gleick's CHAOS: the Software. Both the complete executable and the source code are provided. The program runs under Windows as a full-screen DOS session. Six modules include the Mandelbrot set, Pendulum and Magnets, Strange
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- Chaos, Fractals, and Arcadia - Robert L. Devaney; Dept. of Mathematics, Boston University
An animated description of some of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Introduction; Thomasina's Geometry of Irregular Forms; The Chaos Game; The Sierpinski Hexagon; Thomasina's Fern; Valentine's Grouse; Summary
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- Chaos, Fractals and Attractors in Economics - Ben Tamari
Dynamical system in economics, fractals and chaos in nature.
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- The Chaos Game - Robert L. Devaney; Dept. of Mathematics, Boston University
One of the most interesting fractals arises from what Michael Barnsley has dubbed "The Chaos Game," which is played as follows. First pick three points at the vertices of a triangle. Color one of the vertices red, the second blue, and the third green.
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- Chaos Group - University of Maryland
Chaos is a multidisciplinary science. The members of the group are affiliated with diverse departments and institutions: Electrical Engineering; Mathematics; Physics; Physical Sciences and Technology; Institute for Plasma Research (IPR); Institute for
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- The Chaosgruppe - Sperl, Rast
A non-profit scientific Association for direct support of current research projects and dialogue between faculties and interested amateurs about phenomena of nonlinear dynamics and pattern formation. The association produces a Who's Who Handbook of nonlinear
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- The Chaos Hypertextbook: Mathematics in the Age of the Computer - Glenn Elert
Formerly titled "Chaos, Fractals, Dimension": an illustrated paper submitted for the author's M.S. in secondary science education from Columbia. Contains chapters on: Mathematical Experiments (Iteration and Orbits, Orbit and Bifurcation Diagrams, Universality);
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- Chaos: Making a New Science - James Gleick
An excerpt from the prologue of Gleick's book. "Where chaos begins, classical science stops. For as long as the world has had physicists inquiring into the laws of nature, it has suffered a special ignorance about disorder in the atmosphere, in the turbulent
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- Chaos (Mathematics Across the Curriculum) - Dartmouth College
Syllabus, related links, reading list, and student papers (access is restricted to the papers; you must have a password to view them) from a Dartmouth College course from winter, 1998. The course examined chaos from scientific, literary, historical and
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- Chaos Research Group (CRG) - University of Tennessee, Knoxville
The Chaos Research Group is an interdisciplinary team of faculty, students and engineering staff studying the nature of complex, nonlinear engineering systems to achieve a better understanding of the underlying physical processes, to develop better diagnostics,
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- Chaos Theory: complexity and chaos - Mindconnection
Books on chaos theory and links to relevant sites on the Web.
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- Chaos Under Control - David Peak, Michael Frame; Union College, Schenectady, NY
Material designed to support the text Chaos Under Control (W. H. Freeman, 1994): Macintosh software; course syllabi; six labs exploring natural fractals, iterated function systems, dimension computations, one-dimensional dynamics, fractal analysis of
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- Chaos vs. Determinism - Harold Brochmann
Recursive vs. Newtonian Functions - two ways of calculating the value of an investment; The Real World - how do things work in reality? (planetary orbits); The Logistic Function - a study of population growth and extinction.
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- Chaotic Dynamical Systems (Serendip) - Victor J. Donnay; Bryn Mawr College
In dynamical systems, an object moves according to a rule. Depending on the rule motion, the object may move in a regular fashion or in a chaotic fashion. This project by Prof. Donnay, his students, and colleagues illustrates the ideas of chaos theory
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- Chaotic Mixing due to Separatrix Crossing - John R. Cary; University of Colorado
An applet that shows the chaotic mixing caused by separatrix crossing, an example of a deterministic dynamical system that has chaotic motion - motion that cannot be predicted for long times.
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- Charlotte Tutor: Tutoring, Learning, Results - Charlotte Tutor
Test preparation and tutoring in Charlotte, NC and surrounding areas, for a wide array of academic subjects such as mathematics (math), statistics, physics, chemistry, engineering, AP & IB courses and much more. K-12 and College (undergraduate & graduate)
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- Chase Four Sketches - Bill Finzer, Key Curriculum Press
A sketch and a script to answer the question: if there are four ants in the plane and each crawls continuously toward the next ant, what do their paths look like?
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- Chasing Arrows (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
The reycling symbol looks like three bent arrows chasing each other around a triangular loop. You often find it printed on cardboard cartons, envelopes, greeting cards, packages, and trash containers. It's also an intriguing mathematical object. Imagine
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- Ch: C/C++ interpreter for scripting, plotting, and numerical computing - SoftIntegration, Inc.
Ch is a superset of C interpreter. It supports 1990 ISO C Standard, classes in C++, POSIX, X11/Motif, OpenGL, ODBC, XML, GTK+, Win32, CGI, 2D/3D graphical plotting, socket/Winsock, C LAPACK, high level numeric functions, and shell programming. The extensions
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- Cheng-Pleijel Point of a Quadrangle - Ben Cheng
A Java applet that lets you play with the Cheng-Pleijel point: imagine a point O' at a certain height H above the flat plane containing the quadrangle ABCD and which orthogonally projects down directly to the point O on the plane. By definition, the Cheng-Pleijel
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- Chicago Financial Mathematics Seminar - Alexander Adamchuk, Organizer
A seminar that is not a formal part of any academic program, open to those who might be interested in professional development and quantitative research in Financial Engineering and Risk Management, bringing together professionals and students from industry
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- Chicago Journal of Theoretical Computer Science (CJTCS) - Michael J. O'Donnell; Dept. of Computer Science, Univ. of Chicago
A peer-reviewed scholarly journal in theoretical computer science. Articles are submitted and published in LaTeX source form, are distributed internationally over the InterNet, and are augmented by refereed forward references to improvements and subsequent
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- Chinese Mathematical Society
ICM2002 (International Congress of Mathematicians, Beijing, August 20-28, 2002), Organization (Officers of the society), details about Chinese mathematicians, and publications (see Acta Mathematica Sinica.
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- Chinese Mathematics - MacTutor Math History Archives
Articles on mathematics in Chinese culture: An Overview of Chinese Mathematics; Nine Chapters on the Mathematical Art; The Ten Mathematical Classics; Chinese Numerals; and Chinese Problems. Also an alphabetical list of Chinese mathematicians, linked to
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- Chinese Numbers - Erik E. Peterson
Convert arabic numerals up to 1 billion into Chinese numbers, or show the value of a Chinese number (type or paste in a number in Chinese and click "Show English." With, in addition, A Brief Description of the Chinese Number System, and links to related
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- Chinese Remainder Theorem - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An explanation and proof, using modular arithmetic, of the Chinese Remainder Theorem, which concerns problems of the following type: There are certain things whose number is unknown. Repeatedly divided by 3, the remainder is 2; by 5 the remainder is 3;
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- Chinks in Digital Armor - Ivars Peterson - Science News Online
Tampering with a smart card can force it into making errors in the calculations used for encrypting data, potentially allowing the code to be broken.
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- Chinook (champion checkers computer program) - Jonathan Schaeffer, Dept. of Computing Science, Univ. of Alberta
Chinook is the World Man-Machine Checkers Champion, a title it earned by competing in human tournaments and defeating the best players in the world.
Chinook is the by-product of a research effort started in 1989 into game-playing strategies. The long-term
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- Christianity and the Mathematical Sciences - the Heliocentric Hypothesis - MacTutor Math History Archives
Linked essay on Christianity's influence on the mathematical sciences. With references and other related web sites.
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- Christmas With The Polyiamonds Puzzle Family - Jos H. Hindriks
Polyiamonds share their general principles with Pentominoes, except that their basic 'cell' is the sixty-degree triangle instead of the square. The term 'Polyiamonds', derived from the word 'diamond', was introduced in 1961 by T.H. O'Beirne. Hexiamonds,
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- Chron Me! Online Stopwatch
Easily record time in increments, whenever you have a multi-part task to time. Press start; press stop; add a label for that segment; repeat as needed; download the resulting comma- or semicolon-separated file to your computer, or open it with Excel.
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- A Chronology of Mathematicians - MacTutor Math History Archives
A chronology of mathematicians between the dates stated, showing how the lives of
the mathematicians overlap: 700 BC-700 AD; 700-1650; 1625-1775; 1750-1850; 1825-1900; 1875-1957. Where either the birth or death of a mathematician is unknown (mostly for
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- A chronology of pi - MacTutor Math History Archives
Pre-computer calculations of pi, from the Rhind papyrus through Ferguson (1946); computer calculations from Ferguson (1947) through Kanada, Takahashi (Sept 1999). With references and other related web sites.
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- Chronology of Recreational Mathematics - Mario Velucchi
David Singmaster's list of events from circa 2700BC to 1993, with references, includes how in Greek mythology, Palamedes was the inventor of dice; in 1392, three packs of cards were made for Charles VI of France; in 1605, Cervantes' Don Quixote gives
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- ChronoMath: Petite Chronologie des Mathématiques - S. Mehl
Travaux fondamentaux de l'histoire des maths de l'Antiquité à nos jours. Le site dispose d'une vaste documentation et d'une bibliographie. An extensive site on math history, in French, with bibliography.
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- Cinderella: Interactive Geometry Software - Richter-Gebert, Kortenkamp
A full-featured interactive geometry program in German that uses Java as the programming language and includes a true symbolic theorem prover. A demo version that will run for 15 minutes at a time may be downloaded from the Web; the site also includes
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- Cipher Challenge - University of Southampton
A cipher challenge for cryptographers under the age of 19. With solutions and comments about the breaking of sets of encoded messages, or ciphertexts, of increasing difficulties.
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- Circles and Spheres (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on circles and spheres.
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- Circles in the Sky - Ivars Peterson; Science News Online
Detecting the shape of the universe: evidence of a finite, multiply connected universe may show up in microwave data from future spacecraft.
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- Circles of Dissonance - Ivars Peterson (MathTrek)
Much of today's music rests upon ancient tradition going back thousands of years to the time of the Greek mathematician and mystic Pythagoras. The Pythagoreans observed that tones an octave apart are pleasing to the ear. In modern terms,
one can say
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- Circles of Light: The Mathematics of Rainbows - Frederick J. Wicklin, Paul Edelman; The Geometry Center
How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical
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- Circles of Light: The Mathematics of Rainbows - Steven Janke; The Geometry Center
How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical
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- Circumference of an Ellipse (Ask Dr. Math FAQ) - Math Forum
A discussion of the derivation of the formula for the circumference of an ellipse. Also discussions of the evaluation of the formula, and approximating the circumference.
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