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An element of a given field (especially, a complex number) x such that for some positive integer n, xn = 1.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- In the case of the field of complex numbers, it follows from de Moivre's formula that the n nth roots of unity are #92;textstyle#92;cos#92;left(k#92;frac#123;2#92;pi#125;#123;n#125;#92;right)#43;i#92;sin#92;left(k#92;frac#123;2#92;pi#125;#123;n#125;#92;right), where k#61;1,#92;dots,n.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
5 source translations are retained for this English entry.
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French:
racine de l'unité
— field element, some positive power of which equals 1
-
German:
Einheitswurzel
— field element, some positive power of which equals 1
-
Italian:
radice dell'unità
— field element, some positive power of which equals 1
-
Polish:
pierwiastek z jedynki
— field element, some positive power of which equals 1
-
Spanish:
raíz de la unidad
— field element, some positive power of which equals 1
