Definition of Julia set in English:

Julia set

nounˈdʒuːlɪəˈjo͞olēə ˌset

Mathematics

A set of complex numbers which 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 sentencesExamples
- 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.
- H Cremer produced an essay on his work which included the first visualisation of a Julia set.
- Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called ‘Yoccoz puzzles ‘- which permit deep insight.
- Add to that the fact that the set serves as an index into the variety of Julia sets which, in turn, are classified according to the location of a single parameter inside the Mandelbrot set.

Origin

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

Definition of Julia set in US English:

Julia set

nounˈjo͞olēə ˌset

Mathematics

A set of complex numbers which 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 sentencesExamples
- The spectrum yields a classic fractal object called a Julia set.
- H Cremer produced an essay on his work which included the first visualisation of a Julia set.
- In 1980, Mandelbrot has discovered the set M of parameter values c for which Julia sets are connected.
- Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called ‘Yoccoz puzzles ‘- which permit deep insight.
- Add to that the fact that the set serves as an index into the variety of Julia sets which, in turn, are classified according to the location of a single parameter inside the Mandelbrot set.

Origin

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

单词	Julia set
释义	Definition of Julia set in English: Julia set nounˈdʒuːlɪəˈjo͞olēə ˌset Mathematics A set of complex numbers which 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 sentencesExamples 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. H Cremer produced an essay on his work which included the first visualisation of a Julia set. Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called ‘Yoccoz puzzles ‘- which permit deep insight. Add to that the fact that the set serves as an index into the variety of Julia sets which, in turn, are classified according to the location of a single parameter inside the Mandelbrot set. Origin 1970s: named after Gaston M. Julia (1893–1978), Algerian-born French mathematician. Definition of Julia set in US English: Julia set nounˈjo͞olēə ˌset Mathematics A set of complex numbers which 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 sentencesExamples The spectrum yields a classic fractal object called a Julia set. H Cremer produced an essay on his work which included the first visualisation of a Julia set. In 1980, Mandelbrot has discovered the set M of parameter values c for which Julia sets are connected. Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called ‘Yoccoz puzzles ‘- which permit deep insight. Add to that the fact that the set serves as an index into the variety of Julia sets which, in turn, are classified according to the location of a single parameter inside the Mandelbrot set. Origin 1970s: named after Gaston M. Julia (1893–1978), Algerian-born French mathematician.
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