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* The ''objective function'', which is a real-valued [[convex function]] of ''n'' variables, <math>f :\mathcal D \subseteq \mathbb{R}^n \to \mathbb{R}</math>;
* The ''feasible set'', which is a [[convex subset]] <math>C\subseteq \mathbb{R}^n</math>.
The goal of the problem is to find some <math>\mathbf{x^\ast} \in C</math> attaining
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