 Efofex Software
Produce publication quality graphics for mathematics and science. Tools for math teachers include FX Draw, for drawing; FX Equation, for equations; and FX MathSpell, a mathematics dictionary addin for Microsoft Word. Tools for math students include FX
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 EiffelMath: Object Technology For Numerical Computation  Interactive Software Engineering, Inc.
A library of reusable objectoriented components for numerical computation. Applying the full Design by Contract approach, simple routine interfaces (with small argument lists), simple and consistent error handling through Eiffel's disciplined exception
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 Elements Of Design  Colleen Deery
Explore galleries of fractal art by artist Colleen Deery.
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 Elliptic Geometry Drawing Tools  Brad Findell
Elliptic geometry calculations using the disk model. Includes scripts for: Finding the point antipodal to a given point; drawing the circle with given center through a given point; measuring the elliptic angle described by three points; measuring the
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 Essay Ideas  Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
For a course on Using Computers in Mathematics Instruction. Friday the 13th (show there are at most three and at least one Friday the 13th in each year, consider when two consecutive months can be have Friday the 13th); Gingerbread Man (a Microsoft Excel
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 Euclid
A VRML based project that demonstrates the construction of the five Platonic Solids from Book 13 of Euclid's Elements. The aim of the original Euclid project was to provide a clearer sense of the classical geometry of Euclid's Elements. It is hoped that
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 Euclid's Algorithm, Heron's Algorithm, Calculation of Pi (MSTE)  Kyte, Moore, Finch; University of Illinois at UrbanaChampaign (UIUC)
Problem (by HansGeorg Weigand): Euclid's Algorithm gives you the greatest common divisor of two natural numbers; explain the algorithm. Given two numbers (e.g. 121 and 33), calculate the gcd(121,33) (in EXCEL you need the "ifcommand"). Heron's Algorithm
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 Everywhere, Butterflies
A gallery of fractal pictures created using Sterling, a shareware program by Stephen Ferguson.
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 Excel Traffic Problem (MSTE)  Kocinski, Clark; University of Illinois at UrbanaChampaign (UIUC)
Problem (by HansGeorg Weigand): there is a traffic jam on the highway when cars pass a building site. A model of this situation shows that cars drive with the same speed v and all have the same length l. For the distance d between two cars there are
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 Expected Value: Temperature of a Point on a 2D Plate (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
Find the temperature at a particular point of a rectangular plate using statistical methods. It is assumed that the temperature of the edges as well as the dimensions of the plate are known. The lesson includes a program that will run on Resampling Stats,
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 Explorations of a Problem with Two Squares  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Given a square of side s and segments drawn from each vertex to the midpoint of the second side, counting counterclockwise, the segments intersect to form a new square. What is the ratio of the area of the shaded square to the area of the original square?
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 Exploring Abstract Algebra with Mathematica  Kenneth M. Levasseur; Dept. of Mathematical Sciences, Univ. of Massachusetts at Lowell
An assortment of functions illustrated in Visual Mode that are available in the AbstractAlgebra Packages. Identity; Inverses; AssociativeQ; AbelianQ; CayleyTable(s); OrderOfAllElements; Commutators; GroupExponent; Dihedral; Morphoids/PreservesQ; VisualizeMorphoid;
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 Exploring Parabolas (JavaSketchpad) (MSTE)  James P. Dildine; University of Illinois at UrbanaChampaign (UIUC)
Directions and descriptions for creating and simulating the creation of a parabola. The creation takes place within a Java Window in the browser and allows the user to interact with the sketch of a parabola he or she creates. The page includes tips and
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 Exponential Fit: Running to Conclusions (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
A lesson that explores the process of finding the best fitting exponential curve to sets of data like the world record times for running the mile. Requires Internet access, a bag of Skittles, and Microsoft Excel. Analyze exponential fit for population
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 Exponential Sketch  Finzer, Berkelman, Bennett; Key Curriculum Press
A sketch that draws the exponential function and lets you change the base dynamically.
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 Extended Concurrencies of a Triangle  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
An exploration: take any triangle ABC. Construct equilateral triangles externally on each side and locate the center of each equilateral triangle. Label these centers A', B', and C' for the triangle centers opposite angles A, B, and C. Construct lines
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 FAME (Fractal Art Museum Enterprise)  Joseph Trotsky, Director
A display of fractals by hundreds of artists. The site hosts permanent expositions, along with thematic and periodic exhibitions, annual contests, papers on fractal theory, software and tutorials for making fractals, and more.
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 Families of Conics  L. J. Dickey, U. of Waterloo
Seven Cabri Geometry II figures illustrating families of conics associated with the configurations of Pappus and Pascal.
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 Fantastic Fractals  ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself  how much have you learned
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 Figshare
"Get credit for all your research" with Figshare, which allows researchers to publish their data in a citable, searchable and sharable manner. Figshare's creative commons licensing especially facilitates the sharing of null results, thereby avoiding publication
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 Financing Retirement Payments in the Future in Austria: Some Scenarios  Erich Neuwirth
An interactive spreadsheet to download for studying the effects of changing the retirement age. (Microsoft Excel 5.0 or higher must be installed on your computer.) The key number for judging the financiability of a retirement payment system is the ratio
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 Finding the Smallest Triangle  Jim Parks
A script for finding the triangle of minimum perimeter inscribed in a given triangle.
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 First Order Ordinary Differential Equations  Scott Hoffner
An electronic book covering Ordinary Differential Equations using CAS LiveMath examples. It requires users to have the free LiveMath Viewer or the full LiveMath program to view its examples. Both are available at LiveMath.com.
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 Forum of Geometric Constructor  Yasuyuki Iijima, Aichi University of Education, Japan
A dynamic geometry environment for DOS and Windows used in Japan  see the Tsukuba Journal of Educational Study in Mathematics.
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 Fractal Art, etc.  Linda
Fractal fantasies produced using Flarium or KPT Fractal Explorer2.0 and KPT filters, postprocessed in Photoshop.
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 Fractal Arts  Doug Harrington
View the gallery of fractal images and "Fractal of the Week"; investigate the tutorials for TieraZon, a freeware fractal graphics program by Stephen Ferguson; download fractal screensavers (shareware); consider ordering prints of fractal images.
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 Fractal Dimension Calculator (FDC) User Manual  Paul Bourke
FDC takes a black and white image in the form of a Macintosh PICT file or clipboard contents and uses the boxcounting algorithm to estimate the fractal dimension of the object represented in the image. The "object" is assumed to be the black part of
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 frActAles  Philippe de Courcy
450 fractal images, sorted into categories. Site is available in English and French.
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 Fractal Images  Sharon Webb
Fractal images made for the most part using a software application called Flarium24. Galleries contain about 15 images each and should be viewed in hicolor or truecolor settings. Tilable images that can be downloaded for wallpaper are also available.
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 Fractal Mountains  Matthew Caryl
Fractal systems repeat the same type of features on smaller and smaller scales when you look closer and closer. Mountains are a natural example of this  a mountain range is rugged  a mountain is rugged  a valley on the mountain is rugged  and the
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 Fractal Of The Day (FOTD)
An archive of James Albert Muth's Fractal of the Day images, with formulas and related discussion. (Images originally posted on the Fractal Art Discussion List.)
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 Fractal Page  Frode Gill
Tutorials on Mandelbrot and Julia Sets and Quaternions; JavaScript for generating Mandelbrot sets; downloadable Quaternion generator (v1.2) with or without Borland.DLL files, and its Borland C++/OWL source (program requires Windows 3.1 or above, and the
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 Fractals by Nous  Stephen A. Karl
A collection of fractal art generated using UltraFractal, Tierazon, Grafzvizion and Fractint 19.6.
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 Fractals @ chaotic nspace network  Jon Camp, Benjamin Martin
A short introduction to fractals, fractal galleries, a link to a small fractal software collection, and links to other fractal galleries.
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 Fractals  ThinkQuest 1997
Information (definition, applications, fractal mountains), data sets (Mandelbrot and Julia), and animations with source code.
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 Fractal Wallpaper  Ian Anderson Design
A gallery of fractal wallpaper images.
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 FractImage  David Rose
Preview jigsaw puzzle images that exhibit selfsimilarity, and purchase the puzzles online. Visit the fractal gallery; read about fractals and FractImage; and download fractal wallpaper for your desktop.
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 From Chaos: Beauty  Kitara
Fractal galleries created using UltraFractal.
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 Frustration Solitaire  Doyle, Grinstead, Snell
A paper on the rankderangement problem, which asks for the number of permutations of a deck of cards such that each card is replaced by a card of a different rank, and which arises when computing the probability of winning the game of 'frustration solitaire'.
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 Gallery of Mathematical Models  Arthur Sherman
"Gold standard" versions of published models, given as input files for xpp but also humanreadable ASCII files adaptable for use with other programs. BetaCell Models: Generic, CRAC Models I and II, SmolenKeizer, KeizerSmolen, ShermanKeizerRinzel
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 Games: Analysis and Simulation  Dave Rusin; The Mathematical Atlas
Pointers to games on Rusin's site, including analyses, posts from usenet, PC executable versions, source codes, and documents with descriptions of some of the games, with rules. Also pointers to general information on games on the Web.
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 A Gamma Process  Charlie Geyer
An applet that draws a Gamma process, a stochastic process with independent increments.
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 GAP: Groups, Algorithms, and Programming  GAP Group; UK, Germany, USA, Australia
A system for computational discrete algebra with particular emphasis on, but not restricted to computational group theory. GAP and its sources, including share packages, data library and a manual, are distributed freely, subject to conditions detailed
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 Gapminder  Hans Rosling
"Fact tank" Gapminder promotes a fact based world view through software called Trendalyzer, which "unveils the beauty of statistical time series by converting boring numbers into enjoyable, animated and interactive graphics."
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 Gateways to Advanced Mathematical Thinking (GAMT)  Michelle Manes; Education Development Center, Inc. (EDC)
The goal of this project is to research the ways in which high school and college mathematics students come to acquire flexible understandings of essential concepts needed for analytic and algebraic thinking. Integral to this research effort is the development
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 General Algebraic Modeling System  GAMS
A highlevel modeling system for mathematical programming problems. It consists of a language compiler and a stable of integrated highperformance solvers. GAMS is tailored for complex, large scale modeling applications, and allows you to build large
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 The Geometer's Sketchpad and Tessellations  Cathleen V. Sanders
A tessellation tutorial that provides stepbystep instructions for tiling the plane using the Geometer's Sketchpad. Linked to it are examples of student tessellations created by Cathi Sanders' pupils at Punahou School in Honolulu, Hawaii.
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 The Geometer's Sketchpad: Classroom Resources on the Web  Math Forum
A page of links to dynamic interactive geometry resources for Sketchpad. GSP at Key Curriculum Press; classroom introductions and tutorials; courses, classroom materials, and student work; and general information. See also Sketchpad Resources at the Math
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 The Geometer's Sketchpad: Classroom Resources  The Math Forum
Sketchpad and JavaSketchpad dynamic interactive geometry resources on the Math Forum Site: sketches, activities, and tours; MAA meetings and groups with presentations and sample sketches; Forum Sketchpad Web Units (Algebra & Calculus; Vectors; Morphing
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 The Geometer's Sketchpad: Three Labs  Mike Riedy
Four sketches about rotation and translation, the cycloid, and the areas of a parallelogram and a triangle, with directions for making them.
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