Math Archives Homepage
What's New on the Math Archives
November 2001
On this page you will find a chronicle of additions and changes of the items contained on the Mathematics Archives which were made during the month of November, 2001.

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The following link was added to the Math Archives' list of Mathematics Departments:


The following link was added to the Math Archives' listing of Professional Societies:

Sociedad Chilena de Estadística

 

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The following link was added to the Math Archives' Other Software Sites page:

DPGraph: Dynamic Photorealistic Graphing

Create beautiful, interactive, dynamic, photorealistic 2D, 3D, 4D, 5D, 6D, 7D and 8D graphs. Optimized for the internet. Used for pre-algebra, geometry, trigonometry and general physics, through multivariable calculus, field theory, quantum mechanics and gravitation. Use time and color as extra dimensions (to create motion or encode momentum, for example). Use the scrollbar to vary parameters in realtime, to slice through graphs, or to vary surface transparency. DPGraph graphs functions, equations, conic sections, planes, spheres, toruses, parametric curves and surfaces, implicit equalities and inequalities, volume intersections, volumes of integration, surfaces of revolution, equipotential surfaces, vector fields, and much more, in rectangular, polar, cylindrical, or spherical coordinates.

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The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • Gomath.com - Algebra
    ADD. KEYWORDS: Factorials, Associative & Distributive Property, Prime Factorization, GCF & LCM, Scientific Notation, Laws of Exponents, Logarithm, Solving Equation with one variable, Ratio & Proportion, Polynomial (Addition/Subtraction), Polynomial (Multiplication), Solving Quadratic Equations, Slope, Equation & Y-intercept, Distance & Midpoint, Pythagorean Theorem, Word Problem - Interest Problem, Inequality, Absolute Value Equation & Inequality
    SOURCE: Cubic Science, Inc
    TECHNOLOGY: Server side programs

The following link was added to the Abstract Algebra page from the Math Archives' Topics in Mathematics:
  • Variations on an Irrational Theme - Geometry, Dynamics, Algebra
    ADD. KEYWORDS: Article, Incommensurability and Infinite Descent, A Dynamical View of Irrationality, Gauss' Lemma, Roots of polynomials
    SOURCE: Dan Kalman, American University, Robert Mena, California State University, Shahriar Shahriari, Pomona College
    TECHNOLOGY: DVI reader

The following link was added to the Geometry page from the Math Archives' Topics in Mathematics:
  • Gomath.com - Geometry
    ADD. KEYWORDS: Triangle, Parallelogram, Trapezoid, Rectangle, Square, Rhombus, Regular N-gon, Sphere, Cube, Cuboid, Pyramid, Rectangular Wedge, Circle, Sector of Circle, Segment of Circle, Annulus/Circular Ring, Sector of Circular Ring, Ellipse, Frustum of a Pyramid, Cone, Frustum of a Cone, Right Circular Cylinder, Right Circular Cylinder with Oblique Face
    SOURCE: Cubic Science, Inc
    TECHNOLOGY: Server side programs

The following links were added to the Mathematics Education page from the Math Archives' Topics in Mathematics:
  • For the Learning of Mathematics
    ADD. KEYWORDS: Published journal
    SOURCE: Faculty of Education, Queen's University
  • Teaching Linear Algebra: Issues and Resources
    ADD. KEYWORDS: Article, PCMI-UFP Reports, Curriculum Issues, Connections with Secondary Mathematics, Research on How Students Learn, Ideas from Physics Education, Technology.
    SOURCE: Jane M. Day, San Jose State University, and Dan Kalman, American University
    TECHNOLOGY: Adobe Acrobat reader, Maple, Matlab

The following link was added to the Calculus, Precalculus and Statistics pages from the Math Archives' Topics in Mathematics:
The following link was added to the Linear Algebra page from the Math Archives' Topics in Mathematics:
  • Mathematical Ideas in Science: Linear Algebra
    ADD. KEYWORDS: Linear Transformations in 2-Dimensions, Products of Linear Transformations in 2-Dimensions, Linear Transformations in 3-Dimensions, Products of Linear Transformations in 3-Dimensions, Eigenvalues and the Characteristic Polynomial, Effect of a Linear Transformation on its Eigenvectors, Change of Basis
    SOURCE: 7Stones Mathematical Ideas in Science
    TECHNOLOGY: Shockwave plugin

The following link was added to the Precalculus page from the Math Archives' Topics in Mathematics:
  • Parabola Explorer
    ADD. KEYWORDS: Graphing parabolas
    SOURCE: 7Stones Mathematical Ideas in Science
    TECHNOLOGY: Flash plugin

The following link was added to the Statistics page from the Math Archives' Topics in Mathematics:
The following link was added to the Math Archives' listing of Mathematics Contests and Competitions:
  • MATH Challenge (Michigan Autumn Take Home Challenge)
    The Michigan Autumn Take Home Challenge is a team-oriented math competition for undergraduates. Teams of 2 or 3 students take a 3-hour exam consisting of 10 interesting problems dealing with topics and concepts found in the undergraduate mathematics curriculum. Each team takes the exam on their home campus under the supervision of a faculty advisor.

The following link was added to the Math Archives' Other Software Sites page:
Autograph
Autograph is a dynamic PC program operating in two modes
----- Graphs, coordinates and bivariate data
----- Single-variable statistics and probability
designed to help teachers and pupils visualise mathematics at secondary/college level, by drawing
dynamically linked 'objects'. Some of the features include solutions of differential equations, matrices, linear transformations, best fit curves, numerical integration, animations, and vectors.

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The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • Algebra1: Graphing Linear Equations
    ADD. KEYWORDS: Tutroial, Online quizzes, Ordered Pairs, Graphing Equations, Horizontal Lines, Vertical Lines, Slope, Equations And Slope, Find Equation of Line, Scatter Plots, Parallel Lines,
    Perpendicular Lines, Solve A System
    SOURCE: T. K. O'Brien
    TECHNOLOGY: Javascript, Java applet

The following link was added to the Geometry page from the Math Archives' Topics in Mathematics:
  • Forum Geometricorum
    ADD. KEYWORDS: Electronic Journal
    SOURCE: Department of Mathematical Sciences, Florida Atlantic University
    TECHNOLOGY:
    PDF or Postscript Reader

The following link was added to the Statistics page from the Math Archives' Topics in Mathematics:
  • Statsoft
    ADD. KEYWORDS: Electronic textbook, ANOVA/MANOVA, Canonical Analysis, Classification Trees, Cluster Analysis, Correspondence Analysis, Data Mining Techniques, Discriminant Function Analysis, Experimental Design, Principal Components and Factor Analysis, General Linear Models, General Stepwise Regression, Graphical Analytic Techniques, Multiple Regression, Log-Linear Analysis of Frequency Tables, Multidimensional Scaling, Neural Networks, Nonlinear Estimation, Nonparametric Statistics, Partial Least Squares, Power Analysis, Process Analysis, Quality Control Charts, Reliability and Item Analysis, Structural Equation Modeling, Survival/Failure Time Analysis, Time Series Analysis
    SOURCE: StatSoft, Inc.

The following link was added to the Math Archives' Other Software Sites page:
Hilbert Class Library
The Hilbert Class Library (HCL) is a collection of C++ classes representing basic mathematical objects such as vectors, linear and nonlinear operators, and functions. HCL also provides algorithms for optimization and linear algebra implemented in terms of these basic classes. The object oriented design of HCL permits algorithms to be coded at a natural level of abstraction, without reference to internal details of data structures and simulators. Because coordinate representations, data storage formats, and other domain-specific idiosyncrasies are not entangled in these implementations, the resulting code is reusable across applications of widely varying size and structure. The design of HCL also results in several very important capabilities, such as the ability to treat very large out-of-core data sets as vector objects, and to manipulate linear operators not defined explicitly by matrices, which distinguish HCL from other object oriented numerics libraries.

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The following link was added to the Number Theory and Numerical Analysis pages from the Math Archives' Topics in Mathematics:
  • La Quinta Operación Aritmética (The Fifth Arithmetical Operation)
    ADD. KEYWORDS: Sections from a published book, Rational Mean, Roots Solving, Continued Fractions
    SOURCE: Domingo Gómez Morín

The following link was added to the Math Archives' listing of K-12 Teaching Materials:

Project Interactivate
The goals of Project Interactivate are the creation, collection, evaluation, and dissemination of java-based courseware for middle school mathematics explorations. "Interactivated" lessons, discussions, and activities enable the teacher to extend hands-on activities and to teach new content areas with professional competence and confidence, incorporating technology in appropriate ways.
The following link was added to the Number Theory and Arithmetic pages from the Math Archives' Topics in Mathematics:

The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
The following link was added to the Geometry page from the Math Archives' Topics in Mathematics:

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The following link was added to the Probability and Statistics pages from the Math Archives' Topics in Mathematics:
  • Probability/Statistics Object Library
    ADD. KEYWORDS: Geometric Models, Bernoulli Trials, Finite Sampling Models, Set Theory and Combinatorics, Dice Experiments, Games of Chance, Poisson Process, Random Walk, Interacting Particle Systems, Special Distributions, Random Samples, Point Estimation, Interval Estimation, Hypothesis Testing
    SOURCE: Kyle Siegrist, Dawn Duehring, University of Alabama in Huntsville
    TECHNOLOGY: Java Applets

The following link was added to the History of Mathematics page from the Math Archives' Topics in Mathematics:
  • George Green Homepage
    ADD. KEYWORDS: Dates outlining Green's life and posthumous history, Biographical notes, Papers, References, Archival material, Bicentenary Celebrations of Green's birth
    SOURCE: L. A. Wightman, M. J. Carter

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The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • Algebra Flash!
    ADD. KEYWORDS: Simultaneous Equations, Linear Equations, Quadratic Equations
    SOURCE: David Hellam, Szymon Rutkowski, Kuwait English School
    TECHNOLOGY: Javascript, Flash, Excel

The following link was added to the Calculus page from the Math Archives' Topics in Mathematics:

  • Calculus for Kinetic Modeling
    ADD. KEYWORDS: Course Materials, Finding Zeroes of Polynomial Functions, TIFs & TSFs for Polynomial Functions , Background from CKM Workspace , Finding Tangent Lines Examples, TSFs and Graphical Reprsentations, The Product and Quotient Rules, Chain Rule, D-Rules & TSFs, Exponential & Logarithmic Functions, Dissolution Models, Antidifferentiation, Area and the Riemann Integral, Fundamental Theorem of Calculus, Integrals, Area & Reversing D-Rules
    SOURCE: John Pais, Saint Louis College of Pharmacy
    TECHNOLOGY: Java applet

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The following links were added to the Calculus page from the Math Archives' Topics in Mathematics:


The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • Algebra.help
    ADD. KEYWORDS: Tutorials, Worksheets, Calculators, Algebra Basics, Basic Word Problems, Proportion Basics, Simplifying Equations/Expressions, Simplifying Multiple Signs, Combining Like Terms, Using the FOIL Method, Simplifying Exponents, Simplifying Using the Order of Operations, Substitution, Factoring, Greatest Common Factor(GCF), Difference Between Two Squares
    TECHNOLOGY: Java applets, Server side include programs

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The following link was added to the Math Archives' PopMathematics page:

First Digit Phenomenon

In many lists of numbers, why are there usually more numbers starting with 1 than 9?


The following links were added to the Applied Mathematics page from the Math Archives' Topics in Mathematics:

  • The Hyperbolic Geometry of SAR Imaging
    ADD. KEYWORDS: w-k migration, Hankel transform, Fourier transform, geometry and signal history for a straight flight path, Hyperbolic coordinates, Stolt transform, autofocus, and Hankel functions.
    SOURCE: Andrew S. Milman
  • Introduction to Linear Dynamical Systems
    ADD. KEYWORDS: Course materials, lecture notes, linear functions, linear algebra review, orthonormal vectors and QR factorization, least-squares methods, regularized least-squares and minimum norm methods, autonomous linear dynamical systems, eigenvectors and diagonalization, Jordan canonical form, aircraft dynamics, symmetric matrices, quadratic forms, matrix norm, and SVD, quantum mechanics, controllability and state transfer
    SOURCE: Miguel Sousa Lobo, Stanford University
    TECHNOLOGY: Postscript or PDF reader
  • Mathematics Unlocks Mysteries of the Universe
    ADD. KEYWORDS: Article, Shape of the universe, Geometry
    SOURCE: Allyn Jackson, American Mathematical Society
  • Modeling farmers' response to uncertain rainfall in Burkina Faso: a stochastic programming approach
    ADD. KEYWORDS: Article, linear programming model, stochastic programming model
    SOURCE: Arno Maatman, Caspar Schweigman, Arjan Ruijs, and Maarten H. van der Vlerk
    TECHNOLOGY: PDF reader
  • MP in Action
    ADD. KEYWORDS: Newsletter, Articles, Applications of mathematical programming, collecting milk from farms, planning and scheduling BP's oil refineries, farm management by MP, regulating electricity, how to minimize capital gains tax, planning and scheduling in oil refineries
    SOURCE: Eudoxus Systems Ltd
    TECHNOLOGY: PDF reader
  • Principles and Methods of Applied Mathematics
    ADD. KEYWORDS: Course materials, lecture notes, spectral theory and integral equations, spectral theorem for symmetric matrices and the Fredholm alternative, separation of variables and Sturm-Liouville theory, problems from quantum mechanics: discrete and continuous spectra, differential equations and integral equations, integral equations and the Fredholm alternative, introduction to perturbation theory, elementary asymptotics, calculus of variations and functional equations, the Euler-Lagrange equations, topics in diffusive and dispersive waves
    SOURCE: Joceline Lega, University of Arizona
  • Speech Analysis
    ADD. KEYWORDS: Sampling theory, sampling frequency and resolution, linear filters, finite impulse response filters, infinite impulse response filters, filter bank analysis, spectrograms, non-linear frequency scales, short-term Fourier analysis, time shift, frequency shift, convolution
    SOURCE: Tony Robinson, Cambridge University
  • UCES Modules
    ADD. KEYWORDS: Modeling, public key encryption, variable mass rocket, Monte Carlo methods in physics, oscillations and differential equations, world population, cantilevered blocks, exponential growth, ballistic trajectories, power consumption of a modern destroyer, quantum mechanical wavefunctions, electrostatic potential in a wire
    SOURCE: Undergraduate Computational Engineering and Sciences (UCES) Project, Department of Energy (DOE), Krell Institute
    TECHNOLOGY: Maple

The following link was added to the Arithmetic page from the Math Archives' Topics in Mathematics:
  • All about Ratios
    ADD. KEYWORDS: Pratice exercises, Quiz
    SOURCE: Cynthia Lanius, Rice University
    TECHNOLOGY: Javascript

The following links were added to the Mathematical Biology page from the Math Archives' Topics in Mathematics:
  • BMV Publications
    ADD. KEYWORDS: Articles, L-systems and other fractal models of biological systems
    SOURCE: Mark Hammel, University of Calgary
    TECHNOLOGY: Postscript reader
  • Buffon's Needling Ants
    ADD. KEYWORDS: Article, Buffon's needle algorithm, Ants
    SOURCE: Ivars Peterson, Science News
  • Ordination Methods for Ecologists
    ADD. KEYWORDS: Distance-based ordination methods, Eigenanalysis-based ordination methods, Principal Components Analysis, Correspondence Analysis, Detrended Correspondence
    Analysis, Basic statistical concepts, Multiple Regression, Randomization tests, Centroids and Inertia, Similarity, Distance and Difference Explorations in Coenospace
    SOURCE: Michael Palmer, Oklahoma State University
  • UTK Mathematical Life Sciences Page for Education
    ADD. KEYWORDS: Cell Structure and Growth, Cellular Processes, Genetic Information, Genetics and Evolution, Ecology, Biomechanics, Structure, and Function, Plant Physiology, Animal Physiology
    SOURCE: Susan Harrell, Monica Beals and Louis Gross, University of Tennessee, Knoxville

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The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • MathMax - The Bittinger System of Instruction
    ADD. KEYWORDS: Supplementary materials for texts, Exercises, Quizzes, Chapter reviews
    SOURCE: Addison Wesley Longman, Marvin L. Bittinger
    TECHNOLOGY: Javascript, InterAct Math plug-in

The following link was added to the Discrete Mathematics page from the Math Archives' Topics in Mathematics:
  • MA 114 - Online Finite Mathematics Course
    ADD. KEYWORDS: Course materials, Lecture notes, Matrices, Graphing Linear Inequalities, Linear programming, Simplex Method, Sets, Venn diagrams, Multiplication principle and tree diagrams, Permutations and Combinations, Probability, Markov chains
    SOURCE: Lavon B. Page, North Carolina State University
    TECHNOLOGY: Java applets, Quicktime movies


Chronicles for the previous month:

October 2001