Category:Convex Real Function is Pointwise Supremum of Affine Functions
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This category contains pages concerning Convex Real Function is Pointwise Supremum of Affine Functions:
Let $f : \R \to \R$ be a convex real function.
Then there exists a set $\mathcal S \subseteq \R^2$ such that:
- $\ds \map f x = \sup_{\tuple {a, b} \in \mathcal S} \paren {a x + b}$
for each $x \in \R$.
Pages in category "Convex Real Function is Pointwise Supremum of Affine Functions"
The following 2 pages are in this category, out of 2 total.