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Supporting functional : ウィキペディア英語版
Supporting functional
In convex analysis and mathematical optimization, the supporting functional is a generalization of the supporting hyperplane of a set.
== Mathematical definition ==
Let ''X'' be a locally convex topological space, and C \subset X be a convex set, then the continuous linear functional \phi: X \to \mathbb is a supporting functional of ''C'' at the point x_0 if \phi(x) \leq \phi(x_0) for every x \in C.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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