Definition:Modulus of Complex-Valued Function

Definition
Let $f: S \to \C$ be a complex-valued function.

Then the (complex) modulus of $f$ is written $\left|{f}\right|: S \to \R$ and is the real-valued function defined as:


 * $\forall z \in S: \left|{f}\right| \left({z}\right) = \left|{f \left({z}\right)}\right|$.

Also see

 * Modulus of Complex Number