 The Vibonacci Numbers (Computing Science)  Brian Hayes, American Scientist
A new mathematical constant, from a branch of the Fibonacci number family in which, instead of always adding two terms to produce the next term, you either add or subtract, depending on the flip of a coin at each stage in the calculation. Hayes writes,
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 Vibrating Drumhead  H. Edward Donley; Mathematics Department, Indiana University of PA
A set of Mathematica packages that outline solutions of the wave equation in various coordinates. The Wave Equation; Conversion to Polar Coordinates; Separation of Variables; The Differential Equation in r; The Differential Equation in t; Constructing
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 Videodiscovery
A publisher and distributor of innovative multimedia products for educators and families. Laserdiscs and CDROMs for the K12 and college market. Product offerings now include laserdiscs with accompanying software, as well as CDROMs for both the school
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 The Video Math Tutor  Luis Anthony Ast
The Video Math Tutor web site provides students from 7th grade through college with free and premium ($$$) math videos and printable notes created by a tutor with 23 years of tutoring experience. Topics covered include arithmetic and algebra. TI84 graphing
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 Video Mosaic Collaboration
"Watching students grow with math": this interactive collaboration portal integrates the Robert B. Davis Institute for Learning Video Collection (Rutgers University) — a video collection spanning two decades capturing mathematics learning experiences
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 Viewing Fourdimensional Objects in Three Dimensions  Barbara Hausmann; The Geometry Center
"Given that humans only visualize three dimensions, how is it possible to visualize four dimensional, or higher, objects? This question is the underlying idea of a short novel written over a hundred years ago by Edwin A. Abbot called Flatland. Flatland
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 ViewMath.com
Video explanations of single variable calculus. Register free for a demo, or sign up for a subscription by week or year.
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 Viewpoints  Dr. Annalisa Crannell, Franklin & Marshall College; and Marc Frantz, Indiana University  Bloomington
VIEWPOINTS is a series of workshops for college and high school instructors on the connections between mathematics and art, and the power of those connections to add interest and excitement to the presentation of either subject. Lessons available in PDF
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 Vignettes on automorphic forms, representations, Lfunctions, and number theory  Paul Garrett
Shoft downloadable "vignettes" in postscript format, and some with overviews in html. Also some vignettes on functional analysis.
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 Vi Hart  Vi Hart
Blog, videos of math "doodling," instructions for slicing food mathematically, and more from the selfdescribed recreational mathemusician who considers math a hobby, with "special interests in symmetry, polyhedra, and surreal complexity. This usually
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 A Viral Dilemma  Ivars Peterson (MathTrek)
An article that discusses how, in effect, a virus is caught up in a version of the prisoners' dilemma, a widely studied game in which acting for individual advantage clashes with acting for the collective benefit. Game theorists devised the prisoners'
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 Virtual Algebra Center  City College, CUNY
The home of the World Wide Algebra project. This international megaproject has several principal parts, including Algebraic Cryptography, The World of Groups, and The World of Polynomials. These include lists of open problems, conferences and seminars,
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 Virtual Computer Library (VCL)  Christine M. Henke, ACITS, University of Texas at Austin
Links to information sources regarding computers and computing. Academic Computing Centers; Book Reviews; Computer Technology; Conferences; Documentation; FAQs; Internet Information; Journals/Magazines; News/Press Releases; Nonprofit/Government Organizations;
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 Virtual Laboratories in Probability and Statistics  Kyle Siegrist; Dept. of Mathematical Sciences, Univ. of AlabamaHuntsville
Interactive, Webbased modules for students and teachers of probability and statistics. Experiments are written in Java. Contents include: special models (Buffon's experiments, card experiments, Bernoulli trials, the ball and urn experiment, the matching
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 The Virtual Mathematics Center  Martindale's Graduate & Undergraduate Center
Preprints and online journals from a wide variety of math and science organizations; Online math dictionaries and encylopedias; mathematics courses, tutorials and databases; courses by subject; related mathematics information and databases.
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 Virtual Math Museum  Richard Palais
A virtual "mathematical museum" being developed and improved by an international group of mathematicians called the 3DXM Consortium (the same group responsible for the development of the 3DXplorMath mathematical visualization program). Topics include
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 Virtual Math Tutor
A new problem just about every day since October, 2010, with discussion and hints to follow.
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 Virtual Polyhedra  George W. Hart
A growing collection of over 1000 virtual reality polyhedra to explore, complementing Hart's Pavilion of Polyhedreality. Includes instructions for building paper models of polyhedra including modular origami, with ideas for classroom use. Each of the
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 A Virtual SpaceTime Travel Machine  JeanFrançois Colonna, École Polytechnique
Still Pictures and MPEG Animations (Images Fixes et Animations MPEG): Art and Science, Artistic Creation, Astrophysics, Celestial Mechanics, Deterministic Chaos, Deterministic Fractal Geometry, Fluid Mechanics, From the Infinitely Small to the Infinitely
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 Virtual Training Suite: Mathematics  TutorPro
A stepbystep tutorial covering information skills for the mathematics Internet environment. Learn how to use the Internet to help with coursework, literature searching, teaching, or research.
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 Virtual Trips to Black Holes and Neutron Stars  Robert Nemiroff
A published paper understandable to undergraduates: "Visual Distortions Near a Black Hole and Neutron Star," Nemiroff, R. J. 1993, American Journal of Physics, 61, 619. Gravitational Principles and Mathematics; General Description of Visual Distortion
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 Visia Math  Joël Gauvain
Software in French for graphical representations. Un didacticiel de mathématiques pour lycée ou collège. Vous pouvez en télécharger une version shareware ainsi que des fiches de travail pour les élèves.
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 Visible Euclidean Algorithm: finding greatest common divisors  Paul Garrett
Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
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 Visions Of Chaos  Jason
A Windows application that generates fractals, cellular automata, attractors and other chaos simulations. Supports 2D images, 3D images and AVI movie creation. With galleries of fractals and Mandelbulbs; cellular automata and Lsystems music; and chaos
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 Visiting Artlandia  Ivars Peterson (MathTrek)
Have you ever admired any of the bold, colorful designs splashed across a variety of fabrics used for scarves, neckties, shirts, and other apparel? There's a chance that you may come across the work of a physicist. Igor Bakshee got into fabric design
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 A visit to James Clerk Maxwell's House  MacTutor Math History Archives
Linked essay outlining the life and work of Edinburghborn mathematician James Clerk Maxwell, with an outline of his childhood, pictures of his home, some mathematical poetry, and references (books/articles).
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 vismath  vismath GmbH
A shop of math manipulatives organized into "Build & Construct" (such as Fat Brain Toys, Itsphun, Papercraft, Pattern Blocks, PlusPlus, and Zometool); "See & Observe" (films, Mathematician's Dice, Playart magnetic sets, postcards, and wooden polyhedra);
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 ViSta: the Visual Statistics System  Forrest W. Young
ViSta features visual tools for revealing structure in data; for showing the results of statistical analyses; for guiding the analyst through an analysis; and for structuring the analyst's data analysis process. ViSta is designed for a wide range of users,
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 Visual Calculus (Mathematics Archives)  Larry Husch; University of Tennessee, Knoxville (UTK)
A collection of notes that give some ideas how technology, in particular computers, can be used in the teaching of calculus. Detailed instructions on implementing these ideas with various public domain, shareware and commercial software packages are provided.
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 A Visual Dictionary of Special Plane Curves  Xah Lee
Materials that demonstrate interesting properties of plane curves visually. Many concepts or properties of plane curves, such as cusp, tangent, evolute,
involute, or envelope, are more readily explained by an illustration or animation. The mathematics
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 VisuAlgo  Halim, Steven and Felix
"Visualizing data structures and algorithms through animation." Explore, watch electures, and solve problems on sorting, bitmask, linked lists, hash tables, binary heaps, binary search trees, graph structures, UnionFind DS, segment trees, Fenwick trees,
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 Visual Insight  American Mathematical Society
A "place to share striking images that help explain advanced topics in mathematics," as edited by John Baez. Twice monthly posts, which date back to August, 2013, have included "Atomic Singular Inner Function," "Catacaustic of a Cardioid {6,3,3}," "Honeycomb
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 Visual Intelligence: How We Create What We See  Donald D. Hoffman
Visual intelligence, cognitive scientist Donald Hoffman writes, is the power that people use to "construct an experience of objects out of colors, lines, and motions." The site includes: places to buy the book; the text of the preface; and animations
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 Visualization Laboratory of Geometric Objects  Mathematics Dept., Universidad Autónoma de México
An electronic journal and works from professors, researchers and students from the Mathematics department of the School of Science of the Universidad Autonoma de Mexico, with a gallery of geometric objects (fractals), and links to other Web pages. Versions
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 Visualizing complex analytic functions using domain coloring  Hans Lundmark; Linköping University, Sweden
An article that illustrates graphically some properties of complex analytic functions (also known as holomorphic functions), explaining how complexvalued functions can be visualized using domain coloring.
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 Visualizing Math
Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation
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 Visualizing the Behavior of Functions  Cuoco
Cabri Geometry II figures and a macro accompanying the article "Visualizing the Behavior of Functions" by Albert A. Cuoco in the Technology Tips column of Mathematics Teacher magazine.
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 Visual Mathematics (VisMath): Art and Science Electronic Journal of ISISSymmetry  Nagy, Jablan
The electronic journal of ISISSymmetry (International Society for Interdisciplinary Studies of Symmetry), published by the Mathematical Institute, Belgrade, Yugoslavia. Papers, conferences, the Nexus Network Journal of Architecture and Mathematics Online,
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 Visual Math for Java  Dr. Weiguang Huang
The Java applet Visual Math is an online symbolic math and computer algebra system powered by SymbMath. SymbMath (an abbreviation for Symbolic Mathematics) is a symbolic, numeric and graphic computing environment that performs exact numeric, symbolic
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 Visual Math: Functions  Centre for Educational Technology (CET)
Activities, tools, and tasks for learning about linear and quadratic functions.
Contents: Linear Functions  Functions Defined on Intervals  Equivalent Expressions of Functions  Addition and Subtraction of Linear Functions  Transformations of Graphs
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 Visual Math Institute  Ralph Abraham, Director
Created in 1975 to administer grants from the State of California and the NSF. The "Visual Math Project" was created at UCSC for the development of computergraphic based materials for teaching university math: precalculus, calculus, linear algebra, and
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 VisualMath  Software And Engineering Co.
A graphic language for solving all types of problems, providing over 80 components, all of which are capable of using matrix input. Many dialogs are used to define properties. A special 3D plotter and table viewer show the results of the solution. VisualMath
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 Visual Modelling Group  University of Brighton
This research group focuses on giving formal semantics to existing notations, developing new visual notations, and reasoning with them. The Visual Modelling Group has developed a constraint diagram notation that visually expresses mathematical constraints
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 Visual Thought
A crossplatform diagramming & flowcharting tool running on Windows 95/NT and UNIX. Visual Thought moves ideas onto the screen quickly by making it easy for the user to draganddrop shapes and make rubberbanding connections between objects. It is
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 Vizual Statistix  Seth Kadish
Blog of statistics graphed by a Geoscience PhD who describes data visualization as his passion. Posts, which date back to January, 2012, have included "A Summation of Square Usage over 432 Chess Games"; a tiled plot showing the number of unique configurations
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 Volume of a Torus  Paul Kunkel
An investigation into and explanation of the volume of a torus.
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 Voronoi Art  Scott Sona Snibbe
Using a retroreflective floor to display the Voronoi diagram of people walking on it, exploring notions of personal space and individualgroup relations. See also Scott's other projects.
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 Voronoi Diagrams of Points, Segments and Arcs in 2D  Martin Held
VRONI is a software package for computing Voronoi diagrams of points and line segments in the Euclidean plane. Based on the Voronoi diagram, VRONI can also compute offset patterns or perform buffering. Since VRONI computes a Voronoi diagram of points
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 The Voronoi Web Site  Christopher Gold; Université Laval
A site established to encourage communication between workers (academic or commercial, users or developers), using Voronoi or Delaunay methods of spatial analysis, in the hope that the exchange of ideas in this field among a wide variety of users will
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