Definition:Modulus of Complex-Valued Function

This page is about Modulus in the context of Modulus of Complex-Valued Function. For other uses, see Modulus.

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

Linguistic Note

The plural of modulus is moduli.

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