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单词 complex conjugate
释义

complex conjugate

英汉-汉英词典
[数]复共轭
词组 | 习惯用语
您要查找的是不是:
    Complex x conjugate 复共轭
    complex conjugates 复数共轭; 共轭复数;
    complex conjugate transpose 共轭转置
    complex conjugate function 复共轭函数
    complex conjugate representation 复共轭表示
    complex conjugate point 复共轭点
    complex conjugate quantity 复共轭量
    complex conjugate matrix 复共轭阵;复共轭矩阵;共轭复数阵
complex conjugate 复共轭
conjugate complex number [数] 共轭复数
中文百科

共轭复数

在数学中,复数的复共轭(常简称共轭)是对虚部**的运算,因此一个复数

 z=a+ib \, \quad (a, b \in \R)

的复共轭是

\overline{z} = a - ib.\,

举例明之:

\overline{(3-2i)} = 3 + 2i
\overline{7}=7

在复数的极坐标表法下,复共轭写成

\overline{r e^{i\theta}} = r e^{-i\theta}

这点可以透过欧拉公式验证

将复数理解为复平面,则复共轭无非是对实轴的反射。复数z的复共轭有时也表为z^*

英语百科

Complex conjugate 共轭复数

Geometric representation of z and its conjugate z̅ in the complex plane. The complex conjugate is found by reflecting z across the real axis.

In mathematics, the complex conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 4i.

In polar form, the conjugate of \rho e^{i \phi} is \rho e^{-i \phi}. This can be shown using Euler's formula.

近义、反义、联想词
近义词
n.
complex number, complex quantity, imaginary number, imaginary

英英词典
complex conjugate n.
  1. either of two complex numbers whose real parts are identical and whose imaginary parts differ only in sign
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更新时间:2025/6/18 0:26:30