单位根

数学上， $n \,$ 次单位根是 $n\,$ 次幂为1的复数。它们位于复平面的单位圆上，构成正n边形的顶点，其中一个顶点是1。

z^n = 1 \qquad (n = 1, 2, 3, \cdots )

这方程的复数根 $z \,$ 为 $n \,$ 次单位根。

单位的 $n \,$ 次根有 $n \,$ 个：

e^{\frac{2 \pi k {\mathrm{i}} }{n} } \qquad (k = 0, 1, 2, \cdots, n - 1)

。

单词	Root of unity
释义	Root of unity 中文百科单位根数学上， $n \,$ 次单位根是 $n\,$ 次幂为1的复数。它们位于复平面的单位圆上，构成正n边形的顶点，其中一个顶点是1。 $z^n = 1 \qquad (n = 1, 2, 3, \cdots )$ 这方程的复数根 $z \,$ 为 $n \,$ 次单位根。单位的 $n \,$ 次根有 $n \,$ 个： $e^{\frac{2 \pi k {\mathrm{i}} }{n} } \qquad (k = 0, 1, 2, \cdots, n - 1)$ 。英语百科 Root of unity 单位根 In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 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.
随便看	draw a lesson draw a line draw a line at draw a line between draw a line in the sand draw a line under draw a long bow draw a long breath draw a long face draw alongside draw a lot of water with draw a lottery Draw a man test draw a mixed reaction draw a money order draw a moral from draw an analogy draw an analogy between draw an analogy between A and B draw and buffer gear Draw and quarter draw and use public accumulation funds in an unified way draw an inference draw an inference from draw an invoice

Root of unity