{"type":"standard","title":"Root of unity","displaytitle":"Root of unity","namespace":{"id":0,"text":""},"wikibase_item":"Q756747","titles":{"canonical":"Root_of_unity","normalized":"Root of unity","display":"Root of unity"},"pageid":171950,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/40/One5Root.svg/330px-One5Root.svg.png","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/40/One5Root.svg/480px-One5Root.svg.png","width":480,"height":480},"lang":"en","dir":"ltr","revision":"1290687397","tid":"fbfbc2fd-324b-11f0-975d-cff86faf91f7","timestamp":"2025-05-16T11:50:38Z","description":"Number with an integer power equal to 1","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Root_of_unity","revisions":"https://en.wikipedia.org/wiki/Root_of_unity?action=history","edit":"https://en.wikipedia.org/wiki/Root_of_unity?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Root_of_unity"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Root_of_unity","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Root_of_unity","edit":"https://en.m.wikipedia.org/wiki/Root_of_unity?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Root_of_unity"}},"extract":"In mathematics, a root of unity 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. It is occasionally called a de Moivre number after French mathematician Abraham de Moivre.","extract_html":"
In mathematics, a root of unity 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. It is occasionally called a de Moivre number after French mathematician Abraham de Moivre.
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