Mandelbrot set : Dictionary / Wörterbuch (BEOLINGUS, TU Chemnitz)

English Dictionary: Mandelbrot set	by the DICT Development Group
2 results for Mandelbrot set
From WordNet (r) 3.0 (2006) [wn]:
Mandelbrot set n a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration
From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
Mandelbrot set (After its discoverer, {Benoit Mandelbrot}) The set of all {complex numbers} c such that \| z[N] \| < 2 for arbitrarily large values of N, where z[0] = 0 z[n+1] = z[n]^2 + c The Mandelbrot set is usually displayed as an {Argand diagram}, giving each point a colour which depends on the largest N for which \| z[N] \| < 2, up to some maximum N which is used for the points in the set (for which N is infinite). These points are traditionally coloured black. The Mandelbrot set is the best known example of a {fractal} - it includes smaller versions of itself which can be explored to arbitrary levels of detail. {The Fractal Microscope (http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html/)}. (1995-02-08)