Definition:Support of Continuous Mapping/Real-Valued

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:

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