 Van der Waerden's Theorem  Nikolaos Konstantopoulos
The first steps of a computational approach, in multiple PDF documents.
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 Variable Force and Mass: Rocket Liftoff  Boyd Gatlin, Mississippi State University
The liftoff and flight of a rocket is a physical phenomenon. But in order to analyze the process, or to predict future rocket flights, we need to be able to model the process  or at least some simplified version of it  with mathematics. Actually, the
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 Variance and Covariance: How Much Money Do Baseball Players Really Make? (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
An exploration of idea of variance and how it is used in statistics. The average (mean) salary of a ballplayer in the majors leagues is $1.2 million dollars. Given only this fact, it is easy to see how the perception of the overpaid baseball player was
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 Various Calendars  Jim Loy
An elementary introduction to the different calendars used throughout Western history (Julian, Gregorian), Ancient Egypt, and by the Mayans.
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 Varsity Tutors  Chuck Cohn, founder and CEO
Varsity Tutors is a private tutoring service in Chicago (with tutors there and in Houston, New York City, Phoenix, St. Louis, and Tucson) that provides premium athome (or mutually agreed location) academic assistance in mathrelated subjects. Varsity
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 Vasiliu Lucilius Homepage  Vasiliu Lucilius
Lucilius offers books of his research work in mathematics and mathematical physics.
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 VassarStats Statistical Computation  Vassar College
Online Javascript programs on topics such as statistical tests, simulation, correlation and regression: procedures applicable to categorical frequency data; procedures applicable to proportions; procedures applicable to ordinal data; correlation and regression;
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 Vector Arithmetic Java Visualization  Vladimir Sorokin; University of Kentucky
An applet with which to visualize addition, substraction and scalar multiplication of vectors on the XY plane. This demonstration was created as part of the PHY211 Undergraduate Physics Laboratory Educational Page at the Department of Physics and Astronomy
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 Vector Calculator  Julio GeaBanacloche
A Java applet intended to give students a "feel" for vectors in two dimensions. It covers components, magnitude and direction, and vector addition.
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 Vector Calculus  Carlen, Herod, Harrell; Georgia Tech
Maple and Mathematicabased lecture notes; also class notes covering material throughout the course, including interactive Java applets. Mathematics addressed includes: iterated integrals; Theorem of Pappus; integration of polar coordinates; tangent
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 Vector Calculus  Michael Corral
This is a text on elementary multivariable calculus, designed for students who have completed courses in singlevariable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vectorvalued functions; functions
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 vector.calculus.net (calculus@internet)  Christopher A. Barker
Core topic and course syllabi and menus for Vector/Multivariable calculus dealing with the calculus of many dimensions, specializing in computer visualization and interaction. Threedimensional space geometry; Vector arithmetic and geometry; Derivatives
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 The Vector Cross Product: A JAVA Interactive Tutorial  McNamara, Middleton, Schiff; Dept. of Physics, Syracuse University
You will see a drawing in which the vector labeled c is calculated according to your specifications for the vectors a and b. You move these by clicking on their tips and dragging them around the plane with the mouse. You can also "spin the plane" by clicking
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 Vector field analyzer II  Matthias Kawski; Arizona State University
An applet for visualization of, and experimentation with, many aspects of vector calculus. These include zooming to see the derivative of a vector field (including divergence and scalar curl), visualizing the action of the (nonlinear and linearized) flow(s)
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 vectorkids: math flashards and learning tools  Rick Larson, vectorkids.com
This site is dedicated to providing learning tools for elementary and middle school students. Enjoy math flashcards to strengthen basic skills, increase proficiency, and increase test scores. Subjects include geometry, fractions, divisibility rules,
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 Vector Land: An Introduction to 3D Vector Analysis  Paul Kirby
An online course offering Java applets and 3D graphics to teach 3D vectors and related topics such as 3D graphics programming and Newtonian mechanics. Contents: 3D Vectors; The Dot Product; The Cross Product; the Vector Equation of a Line; The Vector
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 Vector (Manipula Math)  International Education Software (IES)
Java applets demonstrate vector geometry concepts: unit vector, area of a parallelogram, inner products, adding and scaling vectors, Ceva's theorem, Menelaus's Theorem, Cramer's rule, the circle of Apollonius, and more.
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 Vectormind.com
A resource library for various subjects ranging from mathematics, to science, to software programming, to Web page development. Each category is updated frequently; existing topics are also improved and updated.
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 Vectors in Projective Geometry (Question Corner and Discussion Area)  University of Toronto Mathematics Network
A short, basic description of the use of vectors in projective geometry.
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 Vectors  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about vectors, sums of vectors, angles between vectors, and vector spaces, such as "A river flows westward at 8 m/s. A person wants to go directly across the river so that the resultant velocity is 12 m/s northward...."
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 Vectors & Trigonometry  Dave Mason
Problems: Converting from Polar to Cartesian Coordinates; Adding Vectors; Hexagon Inscribed in a Circle; The Earth Curving Away From You; Surveying with a Protractor.
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 VedicMaths.Org  Clive Middleton, Kenneth Williams, and Mark Gaskell
Learn about the ancient system of mathematics of the Vedas through interactive tutorials, research and teaching articles, recommended books and websites, a list of sutras translated from the original Sanskrit, a calendar of events, newsletter, and references
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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 Venn Diagrams  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about Venn diagrams and using them to model sets, intersections, and unions.
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 Ventura Educational Systems
An online store offering product information on GraphPower, Geometry Toolkit, Probability Toolkit, Balancing Act, HandsOn Math Vols. 1, 2, and 3, Puzzle Logic, Algebra Concepts, Geometry Concepts, Coordinate Geometry, and more. The site provides links
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 The Verbal Math Lesson  Michael Levin, Charan Langton
Books for teaching math topics verbally through word problemsno worksheets, no writing. The approach is intended to be fun for children and to develop mental short cuts.
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 Vernier Software  Vernier Software
Products and services for classroom data collection. CalculatorBased Laboratory System (CBL) products, such as motion detectors, accelerometers, colorimeters, radiation monitors, and other sensors and curricular materials, allow students to collect and
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 The Vertex Coloring Algorithm  Ashay Dharwadker
A polynomialtime algorithm for coloring the vertices of a graph with a new constructive proof of Brooks' theorem.
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 The Vertex Cover Algorithm  Ashay Dharwadker
A polynomialtime algorithm for finding minimal vertex covers in a graph.
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 VIAS Encyclopedia  Hans Lohninger, Virtual Institute of Applied Science
An online encyclopedia of science topics, with a Mathematics section as well as a German/English dictionary.
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 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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 Victor Shoup's Home Page
Download research papers on cryptographic protocols and on algorithms for solving problems in the area of number theory and algebra. The Courant Institute researcher freely offers a standard for publickey encryption, a simple LaTeX class for preparing
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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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 Videos for the Curious Mind  TMW Media Group
A catalog of educational videos, with teacher guides, to supplement classroom, home, or independent study. Tapes include Algebra Tutor, Geography, Understanding Science, the Tell Me Why Children's Video Encyclopedia series based on the books by Arkady
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 A View from the Back of the Envelope  Mitchell N. Charity
Pages about approximation. Counting by powers of ten includes the "what order of magnitude is ...?" game, illustrated instructions for counting to ten billion on your fingers, and lots of dots  a million dots on one page, and a dot for every second
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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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 Views from Flatland (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
What do you think the world would look like if you and everything in it were squished flatter than a pancake? Like shadows, you and your friends would freely flit about the surface. But if you couldn't rise above or below the surface, objects with any
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 Views of the Solar System  Calvin J. Hamilton
A multimedia exploration of the Sun, planets, moons, comets, asteroids, meteorites, and more. Study the latest scientific information or the history of space exploration, rocketry, early astronauts, space missions, and spacecraft through an archive of
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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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 Villainy, Inc.: Thwarting World Supremacy through Mathematics  Maryland Public Television
To thwart the evil Dr. Wick, ID, middle grade students take on the role of an advisor to his company, Villainy, Inc.  while secretly using their math skills to make sure Wick never succeeds. As undercover double agents for the AntiVillainy Unit (the
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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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 The Virtual High School
The Virtual High School project is a collaborative of high schools from around the country. In exchange for contributing a small amount of teaching time, a school in the collaborative can offer its students webbased courses ranging from advanced academic
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