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