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Julia set Syllabification: Jul·ia set
Pronunciation: /ˈjo͞olēə ˌset/

Definition of Julia set in English:


A set of complex numbers that do not converge to any limit when a given mapping is repeatedly applied to them. In some cases the result is a connected fractal set.
Example sentences
  • Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called ‘Yoccoz puzzles ‘- which permit deep insight.
  • In 1980, Mandelbrot has discovered the set M of parameter values c for which Julia sets are connected.
  • The spectrum yields a classic fractal object called a Julia set.


1970s: named after Gaston M. Julia (1893–1978), Algerian-born French mathematician.

Definition of Julia set in:
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