Complex Conjugate

complex-numbers

Definition

Complex Conjugate

Given a complex number $z\in \mathbb{C}$, then $\bar{z}$ is called conjugate complex of $z$ if:

$$\bar{z}=\Re z-\Im zi$$

The sign of the imaginary part is flipped.

Note that conjugating real numbers doesn’t have an effect as $\Im z=0$.