Note 1 to entry: The conjugate of the complex number $c=a+jb=\left|c\right|e^{j\phi }$ is $c*=a-jb=\left|c\right|e^{-j\phi }$. In mathematics, the conjugate of c is often denoted by $\overline{c}$.

Note 2 to entry: The concept of conjugate may be applied to complex scalar, vector or tensor quantities or to matrices of complex elements.