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the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded. The boundary of this set is a fractal.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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 source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: set
No etymology was provided for this word.
Across languages
Translations
12 source translations are retained for this English entry.
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Bulgarian:
множество на Манделброт
(množestvo na Mandelbrot)
— set of complex numbers c
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Chinese Mandarin:
曼德博集合
(Màndébó jíhé)
— set of complex numbers c
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Czech:
Mandelbrotova množina
— set of complex numbers c
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Finnish:
Mandelbrotin joukko
— set of complex numbers c
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Finnish:
Mandelbrotin fraktaali
— set of complex numbers c
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German:
Mandelbrotmenge
— set of complex numbers c
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Hungarian:
Mandelbrot-halmaz
— set of complex numbers c
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Italian:
Insieme di Mandelbrot
— set of complex numbers c
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Japanese:
マンデルブロ集合
(Manderuburo shūgō)
— set of complex numbers c
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Korean:
망델브로 집합
(mangdelbeuro jiphap)
— set of complex numbers c
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Polish:
zbiór Mandelbrota
— set of complex numbers c
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Swedish:
Mandelbrotmängd
— set of complex numbers c