Definition:Complex Number/Imaginary Part

Definition
Let $z = a + i b$ be a complex number.

The imaginary part of $z$ is the coefficient $b$ (note: not $i b$).

The imaginary part of a complex number $z$ is usually denoted:
 * $\Im \left({z}\right)$
 * $\operatorname{Im} \left({z}\right)$
 * $\operatorname{im} \left({z}\right)$

or a similar variant.