root of unity
root of unity noun: an element of a given field (especially, a complex number) x such that for some positive integer n, xⁿ = 1.
Noun
root of unity (plural roots of unity)
- An element of a given field (especially, a complex number) x such that for some positive integer n, xⁿ = 1.
- 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.
- We now show that the primitive n-th roots of unity generate the other n-th roots of unity.2001, Jean-Pierre Tignol, Galois' Theory of Algebraic Equations, World Scientific, page 89
root of unity meaning in Tamil
root of unity in Tamil
- ஒன்றின் படிமூலம்
Forms of root of unity
| plural | roots of unity |
|---|
Questions about root of unity
- What does root of unity mean?
- Root of unity means an element of a given field (especially, a complex number) x such that for some positive integer n, xⁿ = 1.
- What is root of unity in Tamil?
- Root of unity in Tamil is ஒன்றின் படிமூலம். See Root of unity meaning in Tamil.
- What part of speech is root of unity?
- Root of unity is a noun.
- What is the plural of root of unity?
- The plural of root of unity is roots of unity.
Words near root of unity in the dictionary
Source and license
Adapted from Wiktionary: root of unity (page history and authors); root of unity (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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