Category:Bounded Complex-Valued Functions
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This category contains results about Bounded Complex-Valued Functions.
Definitions specific to this category can be found in Definitions/Bounded Complex-Valued Functions.
Let $f: S \to \C$ be a complex-valued function.
Then $f$ is bounded if and only if the real-valued function $\cmod f: S \to \R$ is bounded, where $\cmod f$ is the modulus of $f$.
That is, $f$ is bounded if there is a constant $K \ge 0$ such that $\cmod {\map f z} \le K$ for all $z \in S$.
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