MARTINDALE'S CALCULATORS ON-LINE CENTER MATHEMATICS: I-M

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Integers: Relations & Sequences ENCYCLOPEDIA OF INTEGER SEQUENCES SLOANE'S ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES - N.J.A. Sloane VERY VERY VERY EXTENSIVE. Also available in: Arabic, Chinese, Czech, Danish, Dutch, Esperanto, Finnish, French, German, Hebrew, Hindi, Hungarian, Italian, Japanese, Korean, Polish, Portuguese, Romanian, Russian, Serbian, Spanish, Swedish & Turkish. "What comes next after 1, 2, 4, 9, 20, 48, 115, 286, 719, ...? This is the place to find out! " For more information see Neil J. A. Sloane's Home Page GAUSSIAN INTEGER FACTORIZATION GAUSSIAN INTEGER FACTORIZATION APPLET - D.A. Alpern, Buenos Aires, Argentina VERY VERY EXTENSIVE. "...This applet is able to factor a Gaussian integer as a product of Gaussian primes..." For more information see Calculators or Darío A. Alpern's Home Page INTEGER RELATIONS INTEGERRELATIONS - Centre for Experimental & Constructive Mathematics, Simon Fraser University, British, Columbia, Canada VERY VERY EXTENSIVE. "To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number..." For more information see Projects; CECM, Department of Mathematics and Statistics or the Simon Fraser University Integrals INTEGRALS - ALL INCLUSIVE INTEGRALS: THE INTEGRATOR - Wolfram Research, Inc VERY VERY VERY VERY.....EXTENSIVE. "The Power To Do Integrals As The World Has Never Seen Before". For more information see Wolfram Research, Inc Interval Arithemtic INTERVAL CALCULATIONS JAVA-INTERVAL CALCULATOR - A. Pereira & E. Alicea, Computer Architecture & Arithmetic Research (CAAR), Lehigh University VERY EXTENSIVE. "The calculator performs interval arithmetic operations and computers interval version of mathematical functions." For more information see Undergraduate Research; Research or Computer Architecture & Arithmetic Research (CAAR) INTERVAL CALCULATOR (JAVA APPLET) - G.F. Corliss, C. Hu, M. Schulte, M.A. Stadtherr, & Hosted by the Department of Electrical and Computer Engineering, Marquette University VERY EXTENSIVE. "...performs interval computation interactively..." For more information see George F. Corliss' Home Page Knots, Knot Theory & Topology KNOTS, KNOT THEORY & APPLICATION OVERVIEW EXHIBITION OF KNOTS - Designed by: R. Brown , N. Gilbert, & T. Porter; W.W.W. Production by: C. Quinton, School of Mathematics, University of Wales, Bangor Multimedia Course (Text & Images). For more information see An Exhibition Presented by the School of Mathematics THE KNOTPLOT SITE - R.G. Scharein, Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, British Columbia, Canada; and hosted by the Pacific Institute for the Mathematical Sciences, British Columbia, Canada VERY VERY EXTENSIVE. "Here you will find a collection of knots and links, viewed from a (partly) mathematical perspective. The images here were created with KnotPlot, a fairly elaborate program to visualize and manipulate mathematical knots in three and four dimensions." For more information see Rob G. Scharein's Home Page; Pacific Institute for the Mathematical Sciences or the Centre for Experimental and Constructive Mathematics (CECM) KNOTS CRAZY KNOTS: 3D INTERACTIVE VIEWER (JAVA APPLETS) - R.G. Scharein, Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, British Columbia, Canada; and hosted by the Pacific Institute for the Mathematical Sciences, British Columbia, Canada "...Click on an image to bring up a 3D interactive viewer... change the model parameters..." For more information see The Knotplot Site; Rob G. Scharein's Home Page; Pacific Institute for the Mathematical Sciences or the Centre for Experimental and Constructive Mathematics (CECM) HYPERBOLIC KNOT CENSUS: 3D INTERACTIVE VIEWER (JAVA APPLETS) - R.G. Scharein, Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, British Columbia, Canada; and hosted by the Pacific Institute for the Mathematical Sciences, British Columbia, Canada "...Click on an image to bring up a 3D interactive viewer... change the model parameters..." For more information see The Knotplot Site; Rob G. Scharein's Home Page; Pacific Institute for the Mathematical Sciences or the Centre for Experimental and Constructive Mathematics (CECM) TORUS KNOTS 2D & 3D: CREATE 2D & 3D TORUS KNOTS - CALCULATOR - Wolfram Research Inc. VERY EXTENSIVE. "The torus is the mathematical figure that looks like the surface of a doughnut..." For more information see webMathematica; webMathematica: The Way The Web Calculates or Wolfram Research Inc. TOPOLOGY SURFACES BÉZIER SURFACE APPLET - A. Gill, Department of Computer Science and Engineering, Oregon Health & Science University For more information see Andy Gill's Home Page SURFACES CALCULATOR (JAVA APPLET) - I. Nikolov, Department of Mathematics, Northeastern University VERY EXTENSIVE. "...takes a closed polygon in R 2, with edges identified in pairs, and returns a closed surface in standard form, specifying its orientability, genus, and Euler characteristic." For more information see Topology I - MTH3105 or Ivo Nikolov's Home Page SURFACES OF CONSTANT CURVATURE: DINI, KUEN & PSEUDOSPHERE PRINCIPALS - CALCULATOR - Wolfram Research Inc. VERY EXTENSIVE. For more information see webMathematica; webMathematica: The Way The Web Calculates or Wolfram Research Inc. THE SURFACE APPLET (JAVA APPLET) - The Center for Geometry Analysis Numerics Graphics (GANG), Department of Mathematics & Statistics, University of Massachusetts, Amherst, MA VERY EXTENSIVE. "...takes a given U, the mean curvature half density, inputted as either a user-drawn graph, or as a constant. The program then takes the given U and uses it to solve..." For more information see Software; Undergraduate Research at GANG or the The Center for Geometry Analysis Numerics Graphics (GANG) VECTORS VECTOR LAND: AN INTRODUCTION TO 3D VECTOR ANALYSIS - P. Kirby Multimedia Course & Java Applets (Text & Images). VERY VERY EXTENSIVE. "This is the beginning of an online course to get to grips with 3D vectors for anyone who wants to learn..." For more information see Paul Kirby's Home Page Some examples of Java Applets include Parametric Curve Plotter Parametric Surfaces Plotter

Lambda FINITE LAMBDA MODEL FINITE LAMBDA MODEL (JAVA APPLET) - P. Selinger, Department of Mathematics & Statistics, University of Ottawa "This applet allows you to edit a finite lambda model and several lambda terms. It checks that the model you are entering is well-defined, and automatically calculates the term denotations..." For more information see Research or Peter Selinger's Home Page Lattice Theory INTERACTIVE POSET AND LATTICE DRAWING INTERACTIVE POSET AND LATTICE DRAWING JAVA APPLET - P. Jipsen, Department of Mathematics, Vanderbilt University "...assist with visualizing posets...give abstract mathematical structures a concrete feel..." For more information see Lists of finite Structures; Peter Jipsen's Home Page or Department of Mathematics LATTICE DRAWING LATTICE DRAWING (JAVA APPLET) - R. Freese, Department of Mathematics, University of Hawaii "This demonstrates my program for automatically generating lattice diagrams from abstract representations of lattices (or partially ordered sets)." For more information see The Lattice Theory Homepage or Ralph Freese's Home Page Level Set Methods LEVEL SET METHODS LEVEL SET METHODS (JAVA APPLETS & MOVIES) - Author: J.A. Sethian; Contributors to project include: D Adalsteinsson; D.L. Chopp; J.S. Davis, II; M.L. Hald; R. Kimmel; R. Malladi; J. Rey and J. Zhu, Department of Mathematics, University of California, Berkeley VERY VERY EXTENSIVE. Multimedia Interactive Applets Tutorials & Movies. Movies include: Curvature Collapse; Soap Bubbles; Medical Imaging; Rising Bubble; Microchip Manufacturing and much more. For more information see J.A. Sethian's Home Page or the Department of Mathematics Examples from more than "10" Applets include Curve Flow Applets The Min/Max Curvature Flow Lie Groups LIE GROUP REPRESENTATIONS THE UNIVERSAL COVER OF SL(2,R) AND ITS REPRESENTATIONS (JAVA APPLET) - R. Shalla, UNIX Systems Automation, Lehman Brothers, New York City For more information see Robert Shalla's Home Page LIE GROUP TRANSFORMATIONS LEARNING LIE GROUP TRANSFORMATIONS (JAVA APPLET) - M. Alder & L. Noakes, Department of Mathematics, The University of Western Australia For more information see Department of Mathematics Linear Equations LINEAR EQUATION CALCULATIONS GAUSSIAN ELIMINATOR TOOL (JAVA APPLET) - R.J. Vanderbei, Engineering and Management Systems, Princeton Universtiy VERY EXTENSIVE. "...For Those Who Hate Doing Arithmetic By Hand...a java applet that can be used to solve linear equations..." For more information see Robert J. Vanderbei's Home Page LINEAR APPLET - A. Vajiac, Dynamical Systems and Technology Project, Boston University "...allows you to see the results of iteration of linear functions of the form Ax + B in three different ways..." For more information see Dynamical Systems and Technology Project or Dynamical Systems and Technology Project LINEAR EQUATION SOLVER (JAVA APPLET) - M. Chamness "Three Equations, Three Unknowns" For more information see Mark Chamness's Home Page Linear & Nonlinear Programming including Simplex AFFINE-SCALING ALGORITHM ALGORITHM ANIMATION: AFFINE SCALING (JAVA APPLET) - R. Vanderbei, Princeton University VERY EXTENSIVE. "...animates the affine-scaling algorithm for solving linear programming problems." For more information see Robert Vanderbei's Home Page DISTRIBUTED ALOGRITHMS DISTRIBUTED ALOGRITHMS (JAVA APPLETS) - Mordechai (Moti) Ben-Ari, Weizmann Institute of Science, Israel, & hosted by Computer Science Teaching Center (CSTC) "...interactive, visual, study aids for studying distributed algorithms..." For more information see CSTC Resources or the Computer Science Teaching Center Some examples include Ricart-Agrawala Mutual Exclusion Dijkstra-Scholten termination GAUSSIAN ELIMINATOR GAUSSIAN ELIMINATOR TOOL (JAVA APPLET) - R. Vanderbei, Princeton University VERY EXTENSIVE. "...can be used to solve linear equations. " For more information see Robert Vanderbei's Home Page LINEAR & NONLINEAR MATHEMATICAL PROGRAMMING AMPL: A MODELING LANGUAGE FOR MATHEMATICAL PROGRAMMING - AMPL Optimization LLC VERY VERY EXTENSIVE. "AMPL is a comprehensive and powerful algebraic modeling language for linear and nonlinear optimization problems, in discrete or continuous variables." NONLINEAR APPLET - R.L. Devaney, Dynamical Systems and Technology Project, Boston University "...allows you to see the results of iteration of nonlinear functions such as the quadratic function x2 + c, the logistic function kx(1 - x), and..." For more information see Dynamical Systems and Technology Project or Dynamical Systems and Technology Project LINEAR PROGRAMMING - TWO VARIABLES LINEAR PROGRAMMING GRAPHER: TWO VARIABLES - S. Waner & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus Resource Page; Steven R. Costenoble's Home Page; Department of Mathematics or Hofstra University LINEAR PROGRAMMING - 2D SOLVER INTERACTIVE LINEAR PROGRAMMING: GRAPHICAL INTERFACE - D.S. Hochbaum, RIOT, Industrial Engineering & Operations Research, U.C. Berkeley VERY EXTENSIVE. For more information see Dorit S. Hochbaum's Home Page; Interactive Linear Programming Home Page; Operations Research Tools; Applications; Remote Interactive Optimization Testbed or Industrial Engineering & Operations Research LINEAR PROGRAMMING AND PIVIOTING IN 2D (JAVA APPLET) - G. Aloupis & B. Kaluzny, Computational Geometry Lab, School of Computer Science, McGill University, CA VERY EXTENSIVE. For more information see Bohdan Kaluzny's Home Page LINEAR PROGRAMMING - APPLICATIONS/CASE STUDIES THE CUTTING-STOCK PROBLEM: AN APPLICATION OF INTEGER LINEAR PROGRAMMING (JAVA APPLET) - The Optimization Technology Center, Argonne National Laboratory and Northwestern University For more information see NEOS Guide: Case Studies; NEOS Guide Overview or The Optimization Technology Center NATURAL GAS PLANNING: AN APPLICATION OF WTOCHASTIC LINEAR PROGRAMMING (JAVA APPLET) - The Optimization Technology Center, Argonne National Laboratory and Northwestern University For more information see NEOS Guide: Case Studies; NEOS Guide Overview or The Optimization Technology Center SIMPLEX METHOD INTERACTIVE LINEAR PROGRAMMING - D.S. Hochbaum, RIOT, Industrial Engineering & Operations Research, U.C. Berkeley VERY EXTENSIVE. "the user can use two different solvers: the simplex method & the dual simplex method" For more information see Dorit S. Hochbaum's Home Page; Interactive Linear Programming Home Page; Operations Research Tools; Applications; Remote Interactive Optimization Testbed or Industrial Engineering & Operations Research LINEAR PROGRAMMING: LP EXPLORER (JAVA APPLET) - J. A. Hall and M. Baird, Department of Mathematics & Statistics, University of Edinburgh, Scotland, U.K. VERY VERY EXTENSIVE. "LP Explorer enables the simplex method to be applied to a linear programming (LP) problem and allows the sensitivity of the solution to changes in the problem data to be examined." For more information see Teaching; Julian A. Hall's Home Page or the Department of Mathematics & Statistics MATRIX PIVOT & GAUSS-JORDAN TOOL (JAVA APPLET) - S. Waner & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. "...Can be used for Gauss Jordan row reduction and the simplex method; works in fraction, integer, and floating-point mode" For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus Resource Page; Steven R. Costenoble's Home Page; Department of Mathematics or Hofstra University NETWORK SIMPLEX METHOD (JAVA APPLET) - R. Vanderbei, Princeton University VERY EXTENSIVE. "...a java applet that can be used to solve min-cost network-flow problems..." For more information see Robert Vanderbei's Home Page SIMPLEX PIVOT TOOL - ADVANCED (JAVA APPLET) - R. Vanderbei, Princeton University VERY EXTENSIVE. "This applet features an artificial objective row and an artificial right-hand side column, which can be used to guide pivot choices for either a primal or a dual phase one process." For more information see Robert Vanderbei's Home Page SIMPLEX METHOD TOOL - S. Waner & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. "Just type in any linear programming problem..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus Resource Page; Steven R. Costenoble's Home Page; Department of Mathematics or Hofstra University THE SIMPLEX METHOD: A METHOD OF SOLVING LINEAR PROGRAMMING - The Optimization Technology Center, Argonne National Laboratory and Northwestern University Multimedia Interactive Tutorial (Text & images). "Users can select the size of the problem that they want to solve (up to 7 variables and 7 constraints), enter the data, and watch the simplex method go through each step of each iteration of the method." For more information see NEOS Guide: Case Studies; NEOS Guide Overview or The Optimization Technology Center THE SIMPLEX PLACE! AN INTRODUCTION TO THE SIMPLEX METHOD - M. Sniedovich, Department of Mathematics & Statistics, The University of Melbourne, Parkville, Australia VERY EXTENSIVE. "In this discussion we examine the Simplex Method from the vantage point of the good old Gaussian elimination procedure for the solution of systems of linear equations." For more information see Moshe's Place or the Department of Mathematics & Statistics VIRTUAL DUALITY - LINEAR PROGRAMMING - M. Sniedovich, Department of Mathematics & Statistics, The University of Melbourne, Parkville, Australia VERY EXTENSIVE. "For your convenience we provide a portable duality machine that will enable you to construct the duals of small linear programming problems." For more information see Moshe's Place or the Department of Mathematics & Statistics Linear Regression MULTIPLE LINEAR REGRESSION CALCULATIONS MULTIPLE LINEAR REGRESSION - S. Waner & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. "Instantly gives you the best-fit (regression) linear function of up to 4 independent variables and up to 16 data points. (10 digit accuracy)" For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus Resource Page; Steven R. Costenoble's Home Page; Department of Mathematics or Hofstra University

Linear Transformation LINEAR TRANSFORMATIONS LINEAR TRANSFORMATION APPLET - P. Atela-Cortés, Department of Mathematics, Smith College For more information see Pau Atela-Cortés' Home Page or the Department of Mathematics LINEAR TRANSFORMATION (JAVA APPLETS) - Asian Technology Conference in Mathematics (ATCM) For more information see Manipula Math With Java or Math Education and Technology Logarithms LOGARITHM CALCULATIONS DISCRETE LOGARITHM CALCULATOR - D.A. Alpern, Buenos Aires, Argentina VERY EXTENSIVE. "... finds the exponent in the expression BaseExponent = Power (mod Modulus)..." For more information see Calculators or Darío A. Alpern's Home Page LOGARITHM CALCULATOR (JAVA APPLET) - P. Alfeld, Department of Mathematics, University of Utah "Explore Exponentials, Radicals, and Logarithms" For more information see Java Page or Peter Alfeld 's Home Page LOGARITHMIC NUMBER SYSTEM (LNS) CALCULATOR - M.G. Arnold, Department of Computer Science, University of Wyoming, Laramie, Wyoming "Internally, this calculator represents a value (Val) as its sign bit (Sgn) and the base e logarithm (Log) of its absolute value." For more information see Mark G. Arnold's Home Page Logic LOGIC - INTRODUCTION GATEWAY TO LOGIC (JAVA APPLETS) - C. Gottschall, Wien, Austria For more information see Christian Gottschall's Home Page Examples include Proof Builder (English, German & Spanish Versions) Proof Checker LOGIC TOOLBOX - J. Saetti, Lander University, Greenwood, South Carolina Multimedia Tutorials, Calculators & Applets. VERY EXTENSIVE. For more information see Department of Philosophy Examples of Interactive Tutorials, Appets & Calculators include Proof Checker Applet Truth Functions Applet METAMATH SOLITAIRE (JAVA APPLET) - N. Megill "Welcome to Metamath Solitaire, a Java applet that lets you build simple proofs in logic and set theory." For more information see Metamath Home Page or Metamath Site Selection Examples of other Logic applets include Metamath Proof Explorer Hilbert Space Explorer LOGIC - INTERMEDIATE & ADVANCE LOGIC CALCULATOR - A. Yavuz Oruç, Department of Electrical Engineering, University of Maryland "This simple calculator computes the truth value of a logic expression comprising up to four variables, w,x,y,z, two constants, 0,1 and sixty symbols (variables, constants, and operators)." For more information see A. Yavuz Oruç's Home Page PROFF VIEWER (JAVA APPLET) - W. McCune, Mathematics and Computer Science Division, Argonne National Laboratory For more information see Web & Java Projects; William McCune's Home Page or the Mathematics and Computer Science Division SON OF BIRDBRAIN - W. McCune, Mathematics and Computer Science Division, Argonne National Laboratory VERY EXTENSIVE. "...an interactive web page that allows you to easily construct some problems in abstract algebra and logic,..." Includes: Group Theory, Quasigroups and Loops, Ring Theory, Lattice Theory, Boolean Algebras, The Robbings Problem, Combinatory Logic and Equivalential Calculus. For more information see Web & Java Projects; Automated Reasoning at Argonne; William McCune's Home Page or the Mathematics and Computer Science Division QUANTUM LOGIC QUANTUM LOGIC (JAVA APPLET) - N. Megill, Metamath "...contain a collection of around 900 proofs..." For more information see Metamath Lorenz LORENZ MODEL THE LORENZ MODEL (JAVA APPLETS) - M. Cross, Condensed Matter Physics Group, Division of Physics, Mathematics and Astronomy, California Institute of Technology (Caltech) For more information see Chaos on the Web: Physics 161; Chaos on the Web Home Page; Michael Cross's Home Page; Condensed Matter Physics Group or the Division of Physics, Mathematics and Astronomy LORENZ ATTRACTOR LORENZ ATTRACTOR (JAVA APPLET) - J.J. Brecht, Department of Physics & Astronomy, Michigan State University VERY EXTENSIVE. For more information see Projects or John J. Brecht's Home Page

Math Animations MATH ANIMATIONS & SIMULATIONS JAVA-BASED COLLABORATIVE ACTIVE TEXTBOOKS (JAVA APPLETS) - RC Projects, Systems Research Center (SRC), Compaq's Center of Advanced Technology, Compaq For more information see SRC Projects; Systems Research Center (SRC) or Compaq's Center of Advanced Technology Some examples include Animation of the k-Shortest Paths Algorithm Animation of Sorting Algorithms GSV-LACTAMME: THE SPACE-TIME TRAVEL MACHINE - Jean-Francois Colonna, Ecole Polytechnique, France "L'Ecole polytechnique est un établissement public d'enseignement et de recherche placé sous la tutelle du Ministère de la Défense." Multimedia. The Space-Time Travel Machine. Large collection produced by Jean-Francois Colonna, including: New Pictures, Quantum Mechanics, Fluid Mechanics, Structure Reconstruction, Deterministic Chaos, Surface Visualization, Fractal Geometry, Natural Phenomenon Synthesis, Astrophysics, Signal Processing, Visualization, Autostereograms, Texture Synthesis and Artistic Creations. For more information see Ecole Polytechnique, France MATHEMATICAL VISUALIZATIONS AND ANIMATIONS - J. Fagerholm, J. Haataja, J. Kpyaho, J. Rahola, and E. Lammi, Mathematical Specialists, CSC Visualization Group, Center for Scientific Computing, Espoo, Finland Multimedia Animations. For more information see the CSC Visualization Group, Center for Scientific Computing or the CSC (Tietoa suomeksi) Math Music WHAT MATHEMATICAL PROOFS SOUND LIKE METAMATH MUSIC - N. Megill VERY VERY EXTENSIVE. "You can listen to what mathematical proofs "sound" like!..." For more information see Metamath Home Page or Metamath Site Selection Mathematical Constants MATHEMATICAL CONSTANTS OVERVIEW CONSTANTS - TCAEP.co.uk, J. Stott Multimedia (Text & Images). "Over 600 alphabetically listed entries..." Includes: Name, Symbol; Value; Category & Description. For more information see Welcome to TCAEP.co.uk FAVORITE MATHEMATICAL CONSTANTS - S. Finch, Wakefield, MA "All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination. Just as physical constants provide "boundary conditions" for the physical universe, mathematical constants somehow characterize the structure of mathematics." For more information see Steven Finch's Home Page FUNCTION CALCULATORS FUNCTION CALCULATOR (ENGLISH) - Xiao Gang, Laboratoire J.-A. Dieudonné, Université de Nice, Nice, France English & Français. "...an interactive calculator to plot, compute and test numbers..." For more information see WIMS INVERSE SYMBOLIC CALCULATORS INVERSE SYMBOLIC CALCULATOR - FROM NUMBERS BACK TO EQUATIONS - Centre for Experimental & Constructive Mathematics, Simon Fraser University, British, Columbia, Canada Multimedia (Text & Images). VERY VERY EXTENSIVE. Includes: "Simple Lookup and Browser for any number; Smart Lookup for any number; Generalized Expansions for real numbers of at least 16 digits; & Integer Relation Algorithms for any number." For more information see Projects; CECM, Department of Mathematics and Statistics or the Simon Fraser University Pi FAST Pi CALCULATOR (JAVA APPLET) - Jean-Luc Cooke, Westborough, MA & Ottawa, Canada VERY EXTENSIVE. For more information see Why Numbers are so Cool! or Jean-Luc Cooke's Home Page Pi & E CALCULATOR (JAVA APPLETS) - Jean-Luc Cooke, Westborough, MA & Ottawa, Canada VERY EXTENSIVE. For more information see Why Numbers are so Cool! or Jean-Luc Cooke's Home Page PLOUFFE'S INVERTER PLOUFFE'S INVERTER - S. Plouffe, Laboratoire de combinatoire et d'informatique mathématique, Université du Québec à Montréal "This server is a database of more than 200,125,088 mathematical constants like Pi, E, Catalan or Euler-Mascheroni constant with more than 2 billion digits..." For more information see the Ressources mathématiques or Laboratoire de combinatoire et d'informatique mathématique Mathematica & LiveGraphics3D LIVE GRAPHICS 3D LIVE GRAPHICS 3D - M. Kraus, Visualization and Interactive Systems Group (VIS), Institut für Informatik, Universität Stuttgart, Bundesrepublik Deutschland (Germany) VERY VERY EXTENISVE. For more information see Martin Kraus' Home Page or Fields of Research, Visualization and Interactive Systems Group (VIS) THE 4TH DIMENSION (LIVE GRAPHICS 3D) - M. Sudduth, The Electro-Optics Research Center, University of Texas, Arlington Topology & Surface Visualization. For more information see Confusing Physics Gibberish - Mark Sudduth's Home Page or The Electro-Optics Research Center WEBMATHEMATICA & LIVEGRAPHICS 3D - J.C. Wyant, Optical Sciences Center, University of Arizona, Tucson, Arizona VERY VERY VERY...EXTENSIVE. For more information see James C. Wyant's Home Page Some examples from over '25' interactive calculators include Zernike Polynomials: PSF & MTF (Zernike Polynomials - 36 Terms) Foucault Knife Edge Patterns for Seidel Aberrations Multiple Beam Interference Fringes Rectangular Aperture Fraunhofer Diffraction Pattern SPHERICAL HARMONICS EXPLORER - LIVE GRAPHICS 3D - M. Kraus, Visualization and Interactive Systems Group (VIS), Institut für Informatik, Universität Stuttgart, Bundesrepublik Deutschland (Germany) For more information see Examples; LiveGraphics3D; Martin Kraus' Home Page or Fields of Research, Visualization and Interactive Systems Group (VIS) JAVAVIEW 3D JAVAVIEW - 3D GEOMETRY - Director: K. Polthier, Zuse Institute Berlin (ZIB), Bundesrepublik Deutschland (Germany) VERY VERY EXTENISVE. For more information see Zuse Institute Berlin (ZIB) Mathematics of Communications FINITE FIELD CALCULATOR AND REED-SOLOMON SIMULATOR FINITE FIELD CALCULATOR AND REED-SOLOMON SIMULATOR - E. Soljanin, Mathematics of Communications, Bell Labs, Lucent Technology "The following applet contains two programs. The first one is a finite field calculator which allows arithmetic over extension fields of GF(2)... The second program is a Reed-Solomon encoder/decoder simulator." For more information see Emina Soljanin's Home Page; Mathematics of Communications or the Computing and Mathematical, Sciences Research Division DISCRETE-TIME FILTER - CONTINUOUS-TIME WAVELET TWIN DRAGON APPLET - J. Kovacevic, Biomedical Engineering, Carnegie Mellon University "You can go through the iteration of the discrete-time filter leading to continuous-time wavelet bases." For more information see Applets; Teaching or Jelena Kovacevic's Home Page Matrix MATRIX CALCULATIONS MATRIX CALCULATOR: LAPACK TEXT MATRIX GENERATORS DLATMR/ZLATMR: A CGI INTERFACE - Matrix Market, Mathematical and Computational Science Division, Information Technology Laboratory, National Institute of Standards and Technology (NIST) VERY VERY VERY VERY EXTENSIVE. "...allows you to generate a matrix using the LAPACK routine DLATMR/ZLATMR. Make any changes to default parameters, and then press the Generate Matrix button. The matrix, in Matrix Market format, will be returned to your browser." For more information see Matrix Market or the Mathematical and Computational Science Division The Matrix Calculator is also avialable via a Java Applets Matrix Market: Test matrices made to order ... while you wait Some Examples of Databases which allow you to Browse - Matrices by Name The Matrix Market Top Ten CALC 3D: MATRIX CALCULATOR - A. Greuer, Calc 3D, Germany For more information see Calc 3D MATRIX CALCULATOR OR CALCULATRICE DE MATIRCE (FRANÇAIS) - Xiao Gang, Laboratoire J.-A. Dieudonné, Université de Nice, Nice, France English & Français. "Give your matrix (enter line by line, separating elements by commas)." For more information see WIMS MATRIX CALCULATOR - Bluebit Software, Greece "...This online matrix calculator uses Matrix ActiveX Component and will let you perform matrix calculations for up to 12x12 matrices..." For more information see Bluebit Software MATRIX CALCULATOR - SoftIntegration, Inc. For more information see Web Services; Plotting and Scientific Numerical Computing; Numerical Computing or SoftIntegration, Inc. MATRIX CALCULATOR - W. Moshammer, Department of Computer Science, University of Technology in Vienna, Vienna, Austria For more information see Java Script or Werner's Secret Place MATRIX CALCULATOR (JAVA APPLET) - R.B. Israel, Department of Mathematics, University of British Columbia. Canada "The matrix calculator below computes inverses, eigenvalues and eigenvectors of 2 x 2, 3 x 3 and 4 x 4 matrices, multiplies a matrix and a vector..." For more information see Robert B. Israel's Home Page MATRIX PIVOT & GAUSS-JORDAN TOOL (JAVA APPLET) - S. Waner & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. "...Can be used for Gauss Jordan row reduction and the simplex method; works in fraction, integer, and floating-point mode" For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus Resource Page; Steven R. Costenoble's Home Page; Department of Mathematics or Hofstra University

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