Mandelbrot set

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Man·del·brot set

 (män′dəl-brŏt′)
n.
The set of complex numbers C for which the iteration zn+1 = zn2 + C produces finite zn for all n when started at z0 = 0. The boundary of the Mandelbrot set is a fractal.
[After Benoit B. Mandelbrot (1924-2010), Polish-born American mathematician.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Mandelbrot set

(ˈmændəlˌbrɒt)
n
(Mathematics) maths a set of points in the complex plane that is self-replicating according to some predetermined rule such that the boundary of the set has fractal dimensions, used in the study of fractal geometry and in producing patterns in computer graphics
[C20: after Benoît Mandelbrot (1924–2010), French mathematician, born in Poland]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Mandelbrot set - a set of complex numbers that has a highly convoluted fractal boundary when plottedMandelbrot set - 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
set - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

Mandelbrot set

[ˈmændəlˌbrɒtˌset] N (Math) → conjunto m de Mandelbrot
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

Mandelbrot set

n (Math) → Mandelbrotmenge f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
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References in periodicals archive ?
The obtained Mandelbrot sets are presented in Figures 1-5.
Application of discrete dynamic model for the assessment of stability of the world economy development
Part I is a whirl of scientific information, where the talk is of 'metathinking' and string theory, hypercycles and cytoskeletons, solitons and wave-packets, mimesis and Mandelbrot sets, and much else.
Remapping Reality: Chaos and Creativity in Science and Literature (Goethe--Nietzsche--Grass)
The papers from that conference include the indecomposable continua and Julia sets of rational maps, The Henon family, the complex horseshoe locus and real parameter space, Baby Mandelbrot sets, accumulation points of iterated function systems, Siegel disks with boundaries that have only two complementary domains, non-uniform porosity for a subset of some Julia sets, and a summary of open problems.
Complex Dynamics: Twenty-Five Years After the Appearance of the Mandelbrot Set, Proceedings
The chapter on Gilbert Sorrentino's Pack of Lies, Matthew's The Journalist, and Barth's The Last Voyage of Somebody the Sailor neatly aligns the proceduralism those works share with Mandelbrot sets and feedback loops.
Conte, Joseph M. Design and Debris: A Chaotics of Postmodern American Fiction
(It also replaces the rather 1960s-ish gestalt cubes cover art of the first two editions with a fractal representation of swirly Mandelbrot sets. Kuhn would have demurred.
Thomas Kuhn: A Philosophical History for Our Times. (the mistaken gestalt of science studies: Steve Fuller takes on Kuhn)
The system is based on polynomial fractal sets, specifically on the Mandelbrot set. The system meets all the conditions for the construction of hash functions.
Secure user authentication to the information system using the methods of fractal geometry

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