 Nature's Numbers (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
The most common number of petals on a flower is five. Five also shows up in arrangements of seeds. Pineapples have eight rows of scales, seen as roughly diamondshaped markings, sloping in one direction and 13 sloping in the other. Pine cones show the
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 NavierStokes Equations  Mark Cramer
A comprehensive, webbased source of the NavierStokes equations and associated boundary and jump conditions which govern the motion of all gases and liquids.
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 NBody / Particle Simulation Methods  Amara Graps
An article summarizing different methods for modeling the gravitational interaction of an arbitrary number of particles, including the particleparticle, treecode, and symplectic methods. Mirrors at http://galileo.mpihd.mpg.de/~graps/other/nbody.html
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 NCTM San Diego Sessions on College Guidelines  Mathematics Education at the Math Forum
A selection of presentations from the 74th Annual NCTM Meeting, 2528 April 1996, San Diego, CA on Standards for Introductory College Mathematics Courses Before Calculus.
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 NCTM San Diego Sessions on Constructivism  Mathematics Education at the Math Forum
A selection of presentations from the 74th Annual NCTM Meeting, 2528 April 1996, San Diego, CA.
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 NCTM San Diego Sessions on Humanistic Math  Mathematics Education at the Math Forum
A selection of presentations from the 74th Annual NCTM Meeting, April 1996, San Diego, CA.
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 The NCTM Standards  Mathematics Education at The Math Forum
The publication of the National Council of Teachers of Mathematics Standards in 1989 was a milestone for mathematics education. While not universally acclaimed, the Standards have by and large have met with great acceptance if not full comprehension.
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 The Need For Statistical Literacy In Australian Society  Robyn Williams, Jane Watson; Australian Broadcasting Corporation
The Need For Statistical Literacy In Australian Society, a transcript from Ockham's Razor, a weekly radio program. Some misconceptions about statistics, including: the way Australian children interpreted "average" after seeing a Ford Motor Co. ad on TV
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 Neil J. A. Sloane
Neil Sloane's research ranges far and wide and includes coding theory, sphere packing, lattices and quadratic forms, packing lines, and planes, spherical codes and designs, quantizing, geometry, combinatorics, the design of experiments, integer sequences,
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 NEOS Guide (NetworkEnabled Optimization System)  The Optimization Technology Center
A thumbnail sketch, outlines of the major algorithms, and pointers to software packages on optimization and its various subdisciplines: integer programming, stochastic programming, network programming, bound constrained, nonlinearly constrained, linear
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 Net Benefits: the Revolution linking Statistics and ICT  M. F. Fuller, University of Kent at Canterbury, U.K.
Modified versions of some of the articles in the Net Benefits series written by M. F. Fuller, Senior Lecturer in Econometrics and Social Statistics at the Univ. of Kent at Canterbury (U.K.), for the journal Teaching Statistics. Included are: "Welcome
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 Netlib Repository at UTK and ORNL  AT&T Bell Labs, Univ. of Tennessee, Oak Ridge National Laboratory
The Netlib repository contains freely available mathematical and statistical software, documents, and databases of interest to the numerical, scientific computing, and other communities. The repository is maintained by AT&T Bell Laboratories, the
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 Networked Computer Science Technical Reference Library (NCSTRL)
NCSTRL (pronounced "ancestral") is an international collection of computer science technical reports made available for noncommercial use from a number of participating institutions, mostly universities that grant Ph.D.s in Computer Science or Engineering,
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 Network Resources for Colouring a Graph  Michael Trick
A document that tries to bring together resources available on the Internet to help in formulating and solving graphcoloring problems. A Brief Survey of Applications and Algorithms (1994); Bibliographies; Solution Codes; Test Instances; People and Papers.
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 Neural network music composition by prediction  Michael C. Mozer
Exploring the benefits of psychophysical constraints and multiscale processing. In algorithmic music composition, a simple technique involves selecting notes sequentially according to a transition table that specifies the probability of the next note
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 New Directions in Pedagogy in Other Courses  Mathematics Education at the Math Forum
Examples of mathematics courses being revised in the light of new approaches to pedagogy: articles and presentations at conferences in probability and statistics; precollege algebra; linear algebra; abstract algebra, and differential equations.
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 New Foundations  Randall Holmes
Developing site for the set theory "New Foundations," first introduced by W.V.O. Quine in 1937. A refinement of Russell's theory of types based on the observation that the types in Russell's theory look the same, as far as one can apparently prove. Site
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 The New Jersey Mathematics Coalition
The New Jersey Mathematics Coalition (like the other 50 such state Coalitions) was created to facilitate and encourage improvement in the teaching and learning of mathematics as recommended in the national reports. The Coalition serves as a catalyst for
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 A New Look At Long Division  Jim Loy
A different way of looking at the process: a stepbystep explanation of long division done using estimation, multiplication, and subtraction.
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 New Mathematical Constant Discovered  Keith Devlin (Devlin's Angle)
Descendent of Two Thirteenth Century Rabbits: A recent mathematical result by Divakar Viswanath, a young computer scientist at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California, has put the Fibonacci numbers back in the news
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 A New Proof of The Four Colour Theorem  Ashay Dharwadker
An article presenting a proof of the four color theorem that uses group theory and Steiner systems, illustrated using a map of Madhya Pradesh and adjoining states in India. Introduction; Map Colouring; Steiner Systems; Eilenberg Modules; Hall Matchings;
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 NewsHour Extra: Math and Economics  MacNeilLehrer Productions; PBS
Lesson plans, stories written for students, and reports from the NewsHour with Jim Lehrer, the nightly news broadcast on PBS. See also the articles written for students based on NewsHour stories.
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 New Teachers and the Job Market  Key Issues in Mathematics at the Math Forum
Links to sites with a variety of organization, resources, and information for those seeking jobs as mathematicians or that require a knowledge of mathematics.
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 Newton's Castle  Steve Feld
Learn about color, optical illusions, how cars appear to roll uphill on "magnetic mountains," why dogs chase cars, and more; then test your learning with the online quiz. Also, see quotations and a timeline of Newton's life. With a bibliography and webliography.
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 Newton, Sir Isaac (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
A short biography of Sir Isaac Newton (16431727), focusing on The Fluxional Method, Optics, and The Principia.
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 New York City HOLD National  Elizabeth Carson
This advocacy organization's mission begins: "The performance of American students in mathematics is mediocre at best. Reform efforts over the past two decades have only made matters worse. We are advocates for school mathematics education reforms that
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 Next in Line  Ivars Peterson (MathLand)
Number sequences present all sorts of intriguing puzzles and patterns. Consider the sequence of counting numbers: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 .... Now, take out every second number, leaving: 1 3 5 7 9 11 13 15 ...; form the cumulative totals
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 Nice Guys Finish First (Sometimes) (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
There's trouble in the schoolyard. A kid has accused you and your pals of doing something you shouldn't have. You have to decide whether to stick with the gang or go your own way. You're not completely sure you can trust your friends, so you face a tough
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 Nine Primes in a Row  Ivars Peterson (MathTrek)
...number aficionados Harvey Dubner of New Jersey, Paul Zimmermann of INRIA Lorraine in France, Tony Forbes of Great Britain, and Nik Lygeros and Michel
Mizony of Claude Bernard University in Lyon, France, mounted a campaign and solicited computational
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 A Nobel Formula  Keith Devlin (Devlin's Angle)
The discovery of a single mathematical formula in 1970 led to this year's Nobel Prize for economics, shared between Stanford University professor of finance (emeritus) Myron Scholes and economist Robert C. Merton of Harvard University. The prize would
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 The Nobel Prize in Physics – Educational  The Nobel Foundation
Step through explanations of physics concepts, some with Flash activities: explore hidden worlds with microscopes (as developed by laureates Zernike, Ruska, Binnig and Rohrer), look into the interior of matter (from Chadwick to van der Meer), and take
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 The NODE Learning Technologies Network  The NODE Learning Technologies Network
theNode.org provides networked support for instructors, trainers, designers and administrators with a professional interest in teaching with technology. Register for membership online. Internet resources for the study and teaching of mathematics include
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 Noga Alon
Noga Alon researches combinatorics, graph theory, their applications to theoretical computer science, combinatorial geometry and number theory, and the relationship of combinatorial algorithms and circuit complexity. Some of his papers, along with a
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 Noise Removal from Images  J. A. Sethian
A paper and movie on noise removal. Level Set Methods exploit the fact that curves moving under their curvature smooth out and disappear. The idea is to view the pixel values as a topographic map; the intensity (somewhere between white and black) at each
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 Nonassociative Rings and Algebras  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to nonassociative rings and algebras. In nonassociative ring theory we widen the scope of rings to be studied. Here the general theory is much weaker, but special cases of such rings are of key importance:
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 NonEuclidean Geometries  Jim Loy
A short essay on Euclid's Fifth Postulate and mathematicians' dissatisfaction with its overcomplexity: Lobachevsky's and Riemann's postulates;
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 NonEuclidean Geometry  MacTutor Math History Archives
Covers Euclid's Elements through the end of the 1800's, with 23 references (books/articles).
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 NonEuclid  Joel Castellanos, Joe Dan Austin, Ervan Darnell
A Java program offering straightedge and compass constructions in hyperbolic geometry for high school and college students. A compressed version for PCs may be downloaded for use offline. The site includes an introduction to hyperbolic geometry, plus
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 Nonius  Jaime Carvalho e Silva
Nonius  Projecto Computação no Ensino da Matemática  Arquivo Electrónico de Matemática. History of mathematics; mathematics topics, mathematics teaching, technology in teaching, and links to relevant mathematical
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 Nonlinear Physics Group  Technical University, Darmstadt, Germany
A research group whose research areas include sonoluminescence, levitated drops, and acoustic and optically induced cavitation (view MPEG movies of bubbles!) A Java applet, Nonlinear Dynamics Online, provides visualizations of data sets: you may use
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 Nonlinear Systems Laboratory  Massachusetts Institute of Technology
A group dedicated to the analysis of nonlinear systems: list of publications (some abstracts are available online) and animations of a robot arm catching a ball and a paper airplane.
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 Nonsexist Solution of the Menage Problem  Bogart, Doyle
A paper that appeared in the American Mathematical Monthly. The ménage problem asks for the number of ways of seating couples at a circular table, with men and women alternating, so that no one sits next to his or her partner. The paper presents
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 The Normal Curve and Galton's Board  Paul Trow
Describes a mechanical device, invented by the nineteenthcentury mathematician Francis Galton, that illustrates the Central Limit Theorem, by showing how a binomial distribution approximates a normal distribution.
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 Northern Ireland Statistics and Research Agency (NISRA)
The department of the United Kingdom government that collects statistics about Northern Ireland. Includes tables and graphs of key socioeconomic statistics, which are available for download as Lotus 123 worksheets; demographic data, available in Lotus
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 Northwest to the Pole and TwoHeaded Coins (Math Chat)  Frank Morgan; Christian Science Monitor
Suppose you start at the earth's equator and travel continuously northwest until you reach the North Pole. What does your path look like? How long is your path?
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 NOVA Online: Hunting the Hidden Dimension  Public Broadcasting System (PBS)
The PBS television series NOVA has produced a program about fractals, their impact on the world of mathematics, and the way they're shaping our understanding of nature. In addition to the program itself (in five chapters), the website offers a program
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 NOVA Online: The Proof  WGBH, Public Broadcasting System (PBS)
For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem  the idea that a certain simple equation had no solutions. This site includes an interview with Andrew Wiles (the man who spent seven
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 NRICH Maths, the Online Maths Club  Univ. of Cambridge, UK
A project that aims to establish a permanent national centre for curriculum enrichment to provide mathematical learning support for very able children of all ages. The learning and enjoyment of mathematics are promoted through an Internet Newsletter and
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 Null Science  Ivars Peterson  Science News Online
A growing number of psychologists charge that their field needs to wean itself from the mindless application of certain statistical practices, especially a technique known as null hypothesis or significance testing, where the investigator typically gathers
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 numb3rs blog  Mark Bridger, Department of Mathematics, Northeastern University
A blog where math professor Bridger posts mathematical comments on the TV show "Numb3rs". Dating back to February, 2005, posts include "Math and March Madness" and "Random motion and FokkerPlanck" and "Acoustic fingerprints and the JFK assassination"
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