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== Notations and Terminology ==
Let <math>\mathbb{R}^N</math>
<math> f: \mathbb{R}^N \rightarrow ]-\infty,+\infty]</math>. Suppose <math>C</math>
convex subset of <math>\mathbb{R}^N</math>.
<math> i_C : x \mapsto \left\lbrace
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