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== Notations and terminology ==
Let <math>\mathbb{R}^N</math>, the <math>N</math>-dimensional [[
<math> f: \mathbb{R}^N \rightarrow (-\infty,+\infty]</math>. Suppose <math>C</math> is a non-empty
convex subset of <math>\mathbb{R}^N</math>. Then, the indicator function of <math>C</math> is defined as
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