Definition 13.1.1 (Epigraph).label Let $E$ be a vector space over $\real$, $A \subset E$ be convex, and $f: A \to (-\infty, \infty]$, then the epigraph of $f$ is the set
\[\text{epi}(f) = \bracs{(x, y) \in A \times \real| y \ge f(x)}\]
Definition 13.1.1 (Epigraph).label Let $E$ be a vector space over $\real$, $A \subset E$ be convex, and $f: A \to (-\infty, \infty]$, then the epigraph of $f$ is the set
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