Category:Convex Real-Valued Functions
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This category contains results about Convex Real-Valued Functions.
Definitions specific to this category can be found in Definitions/Convex Real-Valued Functions.
Let $\R^n$ be an $n$-dimensional real vector space.
Let $S \subseteq \R^n$ be a subset.
Let $f: S \to \overline \R$ be an extended real-valued function.
$f$ is convex if and only if its epigraph is a convex subset of $\R^{n+1}$.
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