root of unity

短语

词形变化

roots of unity 复数 roots of unity

释义与例句

n.
  1. 1.

    An element of a given field (especially, a complex number) x such that for some positive integer n, xⁿ = 1.

    数学

    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.