Definition:Support of Continuous Mapping/Real-Valued

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Definition

Let $f: \R^n \to \R$ be a continuous real-valued function.

The support of $f$ is the closure of the set of elements $x$ of $\R^n$ whose values under $f$ are non-zero.

That is:

$\map \supp f = \cl {\set {x \in \R^n: \map f x \ne 0} }$