Math Forum Internet News

Volume 3, Number 1

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 5 January 1998                                   Vol. 3, No. 1


 Chaos, Fractals, Dimension | Int. Math Olympiad |
Triangle Centers CHAOS, FRACTALS, DIMENSION - GLENN ELERT Mathematics in the Age of the Computer An illustrated investigation of chaos, fractals, and non-linear dynamics, progressing from the function y = f(x) to the concept of fractal dimensions. Requiring moderate mathematical knowledge and featuring many images on bite-sized pages for quick loading, this site offers chapters on: - Mathematical Experiments Iteration and Orbits Orbit and Bifurcation Diagrams Universality - Strange and Complex Strange Attractors Julia Sets Mandelbrot Sets - What is Dimension? General Dimension Topological Dimension Fractal Dimension - Measuring Chaos Harmonic Oscillator Logistic Equation Lyapunov Exponent Lyapunov Space - Appendices Printed Resources Software Resources Internet Resources A directory of software available online for Mac computers and an extensive list of external links are also included. "Chaos, Fractals, Dimension" is a part of E-World, maintained by Glenn Elert. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- INTERNATIONAL MATHEMATICAL OLYMPIAD (IMO) OLYMPIADE INTERNATIONALE DE MATHEMATIQUES (OIM) This world championship mathematics competition for high school takes place each year in a different country. Its membership, which is by invitation only, has gradually expanded to over 70 countries from 5 continents. This site, in English and French, includes the latest competition results, results of prior competitions, problems from previous examinations, related sites, countries with Olympiad sites, and year by year competitions. IMO 1997 was held in Mar de Plata, Argentina. Results are available in English and Spanish: IMO 1998, the 39th International Mathematical Olympiad, is scheduled for July 10-21 in Taipei, Taiwan: -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- TRIANGLE CENTERS AND THE EULER LINE What's an Euler line? What are the incenter, orthocenter, circumcenter, and centroid of a triangle? For explanations, diagrams, and links to newsgroup discussions and relevant Web sites, search the Dr. Math archives. You might look for a word like orthocenter to find: Incenter, Orthocenter, Circumcenter, Centroid: \|/ On the Web, see Prof. Clark Kimberling's Triangle Centers: \|/ For discussions of these and many other math questions, search and browse the Dr. Math archives' more than 3150 entries in 91 categories: For more detailed explanations of some frequently asked questions, see the Dr. Math FAQ: -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum Ask Dr. Math Problems of the Week Internet Resources Join the Math Forum Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \

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