Word.ws English Dictionary

roots of unity

roots of unity is the plural of root of unity.

Meaning of root of unity

Noun

root of unity (plural roots of unity)

  1. 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.

Questions about roots of unity

What is roots of unity the plural of?
Roots of unity is the plural of root of unity.

Words near roots of unity in the dictionary

  1. roots for
  2. roots music
  3. roots musics
  4. roots of all evil
  5. roots of scarcity
  6. roots of unity
  7. roots out
  8. roots reggae
  9. roots rock
  10. roots up
  11. roots wine

Source and license

Adapted from Wiktionary: roots of unity (page history and authors); root of unity (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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