 Apophenia  Ben Klemens
An open statistical library for C. Similar to other statistics packages in function, Apophenia does not commit the user to an ad hoc language or environment, but rather keeps data in a database. Download the library, or contribute your own routines.
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 Appealing Numbers  Ivars Peterson (MathTrek)
A short history of amicable numbers  pairs in which each number is the sum of the proper divisors of the other. The smallest such pair is 220 and 284. The number 220 is evenly divisible by 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which add up to
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 Appetizers and Lessons for Math and Reason  Alan Selby
Logic Appetizers to test or or improve reading, writing and thinking skills, with definitions, concepts and proofs in many subjects (Chains of Reason; One or TwoWay Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study
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 Apples4theteacher.com  Judy Miller
Free interactive early math learning games in JavaScript. Activities reinforce measurement, telling time, shapes, counting, tangrams, and counting money; and some have a specific holiday theme. Counting in Spanish, Polish, and Gaelic also offered.
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 Apples A Peel To Me (SMILE)  Olga Moreno, Horace Greeley School
A K1 lesson designed to teach students to understand real and representational graphs; to recognize some different varieties of apples; and how to gather, record and interpret data. From the Graphs and Visuals section of a collection of almost 200 single
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 Applet Library (Project Links)  Rensselaer Polytechnic Institute
A library of applets in calculus; linear systems; differential equations; probability and statistics; and advanced math methods. Applets: Balance Applet; Beats; Bicycle Pedal; Bicycle Frame Angle, Frame Force, and Frame Length Analysis; Budget Optimization;
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 Applets for "Random Signals and Noise"  G. Tong Zhou, Georgia Institute of Technology
Eleven Java applets to experiment with: the relative frequency approach to probability; random variables from known distributions; random variables from userdefined distributions; the Central Limit theorem; consistency of the sample mean estimator; select
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 Application of Rayleigh's ShortCut Method to Polya's Recurrence Problem [PDF]  Peter Doyle
Doyle's Ph.D. thesis at Dartmouth College, June 1982. The goals of the presentation are to explain why Polya's theorem is true and to develop techniques for applying Rayleigh's method. The main results make sense of the notion that if two graphs look
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 Applications and Misapplications of Cognitive Psychology to Math Education  Anderson, Reder, Simon
A critical view of constructivism by three leading cognitive psychologists at Carnegie Mellon University. Decomposition and decontextualization; situated learning; constructivism; recommendations for research and instruction; overall conclusions; references.
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 Applications of Imaginary Numbers in the Real World  Bradley Chung
An exploration of typical questions about imaginary numbers, such as "Can you show me examples of imaginary numbers in the real world?" and "Are there any practical applications of imaginary numbers?" Lessons include "Mapping Imaginary to Physical"; "Complex
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 Applied Algebra Group  Dept. of Mathematics, Johannes Kepler Universität Linz, Austria.
This group has formed around Prof. Günter Pilz. One of its main research interests lies in nearrings: generalised rings that might generally be described as rings (N,+,*) where the addition is not necessarily abelian and only one
distributive law
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 Applied and Computational Category Theory at RISCLinz
Researchers; research topics; publications; events; emails from the Category Theory mailing list maintained and moderated by Bob Roseburgh, sorted by subject; positions announcements disseminated through the Category Theory mailing list; relevant links.
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 Applied and Computational Category Theory  RISCLinz, Austria
A brief history and description of category theory, and some related links. From the Research Institute for Symbolic Computation.
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 Applied Chaos Lab (ACL)  Dr. W. Ditto; Georgia Tech University
The ACL covers a broad range of analysis and application of chaotic behavior and related phenomena. Much of the research is done in conjunction with researchers at other universities and extends into biophysics and other interdisciplinary areas. Researchers
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 Applied Combinatorics Environment (ACE)
Documentation and FTP sites for the Applied Combinatorics Environment, or ACE, a group of programs for MAPLE to aid in combinatorics research.
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 Applied Management Science: Making Good Strategic Decisions  Prof. Hossein Arsham; University of Baltimore
Syllabus and notes for a course in Operations Research and Management Science. Sections include Course Information (for students enrolled in the class); Overcome Decidophobia by Management Science Approach; Deterministic Models; Probabilistic Models;
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 Applied Mathematical Sciences Summer Institute
A summer research program for undergraduate majors in mathematics and related fields of application. AMSSI targets underrepresented minorities and women. Read "Determinisitc and SmallWorld Network Models of College Drinking Patterns," "Algebraic Interleavers
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 Applied Probability Journals  Applied Probability Trust (APT)
The Journal of Applied Probability and Advances in Applied Probability are published by Applied Probability Trust. Together they provide a forum for original research and reviews in applied probability, mapping the development of probability theory and
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 The Applied Probability Trust (APT)  University of Sheffield School of Mathematics and Statistics (SoMaS)
Nonprofit foundation for study and research in the mathematical sciences. It publishes research journals, a student magazine and occasional special volumes. The APT has been associated with the University of Sheffield School of Mathematics and Statistics
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 Applied Regression and Analysis of Variance  Charles Kooperberg; Univ. of Washington
A collegelevel statistics course. Regression analysis; problems in interpreting regression coefficients; estimation, including twostage least squares; guided regression: building linear models, selecting carriers; regression residuals; analysis of variance;
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 Applied Statistics
Place for finding partners in the field of applied statistics, spatial statistics, computational statistics, bayesian statistics. Open Source Software and Presentations. Site available in German, English, and Russian.
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 Applied Wavelet Analysis Courses  Gerald Kaiser
The Virginia Center for Signals and Waves, founded by mathematical physicist Gerald Kaiser, is dedicated to a physicsbased approach to signal analysis and processing. Information about Kaiser's book A Friendly Guide to Wavelets, his curriculum vitae,
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 Approaches to WWW Mathematics Documents  Ian Hutchinson
A brief summary, including some personal critiques, of different approaches to publishing mathematical documents on the World Wide Web. Treatment organized into five generic types: graphical page display (Adobe Acrobat and the .pdf file format), native
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 Approximating the area of a unit circle with regular polygons  Lisa Markus; Furman University, Greenville, SC
A Java applet for the area of a circle of radius 1. Enter the number of sides, from 3 to 1000, draw the polygon, and see the corresponding area.
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 Approximations and Expansions  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to approximations and expansions, which primarily concern the approximation of classes of real functions by functions of special types. This includes approximations by linear functions, polynomials (not
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 Approximation Theory Network (ATNET)  Hans Joachim Schmid, Hans Strauss
Resources for the approximation theory community. Subscribe to a message group or read past bulletins. Includes a list of theses and relevant class notes (some linked or available for download), tables of contents from various journals, and an alphabetical
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 AP Statistics  BB&N Upper School
A course from the Buckingham Browne & Nichols School. Advanced Placement Statistics acquaints students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data, featuring work on projects involving the handson
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 APStatistics Dissertation  Kim Robinson, Clayton College & State University
A qualitative research study focused on students' learning and their performance on the Advanced Placement Exam with respect to conceptoriented instruction as recommended by the AP Statistics Test Development Committee. Organized into chapters, including
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 AP Statistics Listserv FAQ  Kim Robinson, Jared Derksen, Dan Teague
Frequently Asked Questions site for the AP Statistics listserv discussion. Includes information for new AP Stats teachers, course content, exam details, and other resources.
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 apstat  The College Board, Math Forum
A list for prospective teachers and others involved in the development of the Advanced Placement Statistics Examination. Read and search archived messages.
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 AP Test Prep Books
Find an AP prep book for multiple subjects, including AP Calculus, Computer Science, Economics, Physics, and Statistics.
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 The APT Library: Monte Carlo Sampling, Geometric Analysis and Other Useful Subroutines  Arthur L. Edwards
The AllParticleTracking (APT) subroutine library contains over 300
subroutines, primarily for Monte Carlo and geometric applications.
It is designed especially to support 2D and 3D codes that generate and
track particles or beams of matter or energy,
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 APY Calculator
Online calculators that convert annual percentage rate (APR) to annual percentage yield (APY) and vice versa (for certificate of deposit and savings account); and that calculate the real APR of a mortgage with points, origination fees, and closing costs.
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 Arabic Mathematics  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Resources on the history of Arabic mathematics, with a map, a list of mathematicians, sources, and a Bibliography.
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 Arabic mathematics: forgotten brilliance?  MacTutor Math History Archives
Linked essay exploring the debt we owe to Arabic/Islamic mathematics. In many respects the mathematics studied today is far closer in style to that of the Arabic/Islamic contribution than to that of the Greeks. Certainly many of the ideas previously thought
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 Arabic Numerals (Islam and Islamic History)  Nawwab, Speers, Hoye; Arabian American Oil Co.
The system of numeration employed throughout the greater part of the world today was probably developed in India, but because it was the Arabs who transmitted it to the West, the numerals it uses have come to be called Arabic. This page shows the early
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 The Arabic numeral system  MacTutor Math History Archives
Linked essay exploring the transmission of Indian numerals first to the Arabic/Islamic peoples and from them to Europe. The eastern and western parts of the Arabic world (North Africa and Spain) both saw separate developments of Indian numerals with relatively
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 Arbeitsgruppe Bachem/Schrader  University of Köln
A working group of the Center for Parallel Computing (ZPR) at Köln. Site includes a list of members and contact address; informative writeups on its projects, some in English. Topics include: Basic Research (meaning "pure" as opposed to "applied");
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 Arbelos Internet Math Society  Bert Liberi and William F. Widulski, Westchester Communtiy College
A mathematics society dedicated to the pursuit of elegance in problemsolving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problemsolving,
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 Arcademic Skill Builders
Online educational JavaScript arcade games that teach automaticity and fluency with the four basic arithmetic operations. Single player math games include Meteor Multiplication, Demolition Division, Alien Addition, and Minus Mission. Drag Race (division),
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 Archimedes' Book of Lemmas  Alexander Bogomolny
Archemedes' Book of Lemmas included fifteen propositions. They are listed here, each with its own Java illustration and complete proof.
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 Archimedes  Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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 Archimedes Geo3D  Andreas Goebel
Software for interactive geometry in three dimensions that you can use to: construct points, lines, spheres, planes, triangles and many more objects; trace points, lines or circles to get locus lines or locus surfaces; drag objects and see the rest of
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 Archimedes' Laboratory  Gianni A. Sarcone and Marie J. Waeber
Archimedes' Laboratory invents, creates, and develops handson thinking games which help teach mathematical applications. They also create and manufacture original educational manipulatives and puzzles to support promotional activities. The resources
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 Archimedes Palimpsest  The Walters Art Gallery
An introduction to the people, places, times, and historical significance of the Archimedes Palimpsest, a compendium of mathematical treatises by Archimedes of Syracuse. The manuscript itself includes the only copy of the treatise Method of Mechanical
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 Archimedes' Square (Stomachion)  Kadon Enterprises, Inc.
Square puzzle dissected into 14 tiles, described in Archimedes' palimpsest. Oldest documented puzzle in history, from ca. 250 B.C. Now known to have 536 distinct solutions.
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 Archimy.com: 3D Graphs Online  Denis Kozyr
A service for drawing the graphs of all kinds of functions. Users can define a graph by specifying the formula for the coordinates x, y, and z.
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 Archives Henri Poincaré  PierreEdouard Bour and Manuel Rebuschi
La laboratoire de Philosophie et d'Histoire des Sciences (LPHS) réunit des scientifiques intéressés à l'histoire et à l'épistémologie de leur disciplines et des philosophes et historiens prêts à
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 Archives of American Mathematics  The Dolph Briscoe Center for American History, The University of Texas at Austin
The only archival repository in the United States solely dedicated to collecting, preserving, and providing access to the records of American mathematicians and mathematical organizations for use by historians, mathematicians, educators, and others interested
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 Archives of NMBRTHRY@LISTSERV.NODAK.EDU (Number Theory List)  North Dakota Higher Education Computer Network (NODAK)
Searchable archives of postings, September 1987  present.
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