Lexic.us

Definition of Mandelbrot set

1. Noun. 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.

Definition of Mandelbrot set

1. Noun. (mathematics) the set of complex numbers ''c'' for which the orbit of 0 under iteration of the complex quadratic polynomial ''z''_''n''+1 = ''z''_''n''² + ''c'' remains bounded. The boundary of this set is a fractal. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Mandelbrot Set

Literary usage of Mandelbrot set

Below you will find example usage of this term as found in modern and/or classical literature:

1. Deptford.TV Diaries by , deptford.tv (2006)
"In the Mandelbrot set and its computer-graphic realization we watch — in a fractal universe — maps which are embedded and in fact hidden within maps within ..."

2. Profiting from Chaos: Using Chaos Theory for Market Timing, Stock Selection by Tonis Vaga (1994)
"Dr. Hubbard showed a videotaped presentation of the Mandelbrot set and zoomed in toward one particular point. The computer presentation was based on work ..."

3. Useful Knowledge: The American Philosophical Society Millennium Program by Alexander G. Bearn, American Philosophical Society (1999)
"To take an analogue from mathematics, the Mandelbrot set, with its infinite depth of structure, is encoded by a short algorithm; but other algorithms, ..."

4. State of State Standards 2000: English, History, Geography, Mathematics, Scienceedited by Chester E. Finn, Jr., Michael J. Petrilli edited by Chester E. Finn, Jr., Michael J. Petrilli (2000)
"It would be more important to mention De Moivre's Theorem and its proof than to learn fractal appreciation and the Mandelbrot set. multiplication tables, ..."

5. Microsoft Visual Basic 6.0 Developer's Workshopby John Clark Craig, Jeff Webb by John Clark Craig, Jeff Webb (1998)
"I created this bitmap using a public domain program that generates fractals based on the Mandelbrot set, but you can load any bitmap file into the ..."

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