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Paul Trow's Math Page

Paul Trow's Math Page

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PAGE TITLE
Paul Trow's Math Page | ptrow.com Reviews
<META>
DESCRIPTION
Paul Trow's Math Page
<META>
KEYWORDS
1 mathematics
2 probability
3 statistics
4 dynamical systems
5 torus
6 chaos
7 normal
8 binomial
9 distribution
10 Poincare
CONTENT
Page content here
KEYWORDS ON
PAGE
articles,interactive web pages,algebra / arithmetic,modular arithmetic calculator,perform row operations,on a matrix,statistics,dynamical systems,graphing,with varying parameters,convert angles
SERVER
Apache
CONTENT-TYPE
iso-8859-1
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Paul Trow's Math Page | ptrow.com Reviews

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Paul Trow's Math Page

INTERNAL PAGES

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1

The Normal Curve and Galton's Board

http://www.ptrow.com/articles/Galton_June_07.htm

The Normal Curve and Galton's Board. The normal curve - also known as the bell curve - is a statistical model that is used throughout the physical and social sciences. For example, the graph below - called a histogram - shows the distribution of combined scores for the Scholastic Aptitude Test (SAT) in 2010. Why does the normal curve show up so often in many apparently unrelated fields of study? To see a video of a small computer simulation of Galton's board, with only 6 levels of pins, click here. On th...

2

Paul Trow's Publications

http://www.ptrow.com/Publications.htm

Research Publications of Paul Trow. Closing the Gap between Methodologists and End-Users: R as a Computational Back-End," with B. Wallace, I. Dahabreh, T. Trikalinos, J. Lau, and C. Schmid, Vol. 49, Issue 5, June, 2012. Mappings of group shifts," with A. Quas, Israel Journal of Math., 124. Determining presentations of sofic shifts," Theoretical Computer Science, 259. No 1-2, (2001), 199-216. Subshifts of multi-dimensional shifts of finite type," with A. Quas, Ergodic Theory and Dynamical Systems, 20.

3

Graph a Polynomial and its Derivative

http://www.ptrow.com/perl/derivative.php

Graph a Polynomial and its Derivative. The plot below shows the graph of a polynomial and its derivative. To change the polynomial, enter its coefficients in the boxes below and click Plot polynomial. Enter coefficients for the polynomial in the boxes below. Lower bound for x-axis:. Upper bound for x-axis:. Paul Trow's math software.

4

Chaos and the Solar System

http://www.ptrow.com/articles/ChaosandSolarSystem5.htm

Chaos and the Solar System. Mathematical theories do not usually get much public attention. Oddly enough, in many cases these can also have the appearance of randomness. What exactly is chaos? Will it swing regularly or irregularly? Can we predict its motion at all? And the historical question this raises is why. It took almost three hundred for someone to recognize the possibility of chaotic motion. The great breakthrough in describing the motion of the planets was, of course, due to. In order to apply ...

5

Dynamical Systems on the Torus

http://www.ptrow.com/articles/torus.html

Dynamical Systems on the Torus. Dynamical systems - systems that changes over time - are central to all the sciences. A swinging pendulum, the molecules of air in a room, a chemical reaction in a test tube - even the solar system itself - are all examples of dynamical systems. Since Galileo first gave formulas for the position and velocity of a falling body, scientists have used mathematical models of dynamical systems to explain the physical world. Starting with the torus in figure 1, cut it along the g...

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Paul Trow's Math Page. I am interested in ways to make mathematics more accessible to the general public. The following are links to some of my math articles and interactive math pages, which are intended for a general audience. Dynamical Systems on the Torus. Chaos and the Solar System. The Normal Curve and Galton's Board. A Famous Infinite Series. Perform arithmetic and find square roots modulo an integer. Find the greatest common divisor. Of two integers using the Euclidean algorithm.

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