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 $\cmod f : S \to \R$ and is the real-valued function defined as:


 * $\forall z \in S: \map {\cmod f} z = \cmod {\map f z}$

Also see

 * Definition:Modulus of Complex Number