Root of unity

id: root-of-unity-221-3653024
title: Root of unity
text: In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform. Roots of unity can be defined in any field. If the characteristic of the field is zero, the roots are complex numbers that are also algebraic integers. For fields with a pos
brand slug: wiki
category slug: encyclopedia
description: Number that has an integer power equal to 1
original url: https://en.wikipedia.org/wiki/Root_of_unity
date created: 2003-01-20T23:37:10Z
date modified: 2024-09-14T03:46:25Z
main entity: {"identifier":"Q756747","url":"https://www.wikidata.org/entity/Q756747"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/40/One5Root.svg","width":480,"height":480}
fields total: 13
integrity: 16

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