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Let $\mathbb{R}^p$ be our ambient space. It is assumed that we use the Euclidean distance. A convex set $S \subseteq \mathbb{R}^p$ is one that contains every line segment that joins two of its element. Let $p_1,...,p_k$ be a set of points in $\mathbb{R}^p$ and let $r \neq s \in \{1,...,k\}$. What is the equation of the set of points in $\mathbb{R}^p$ ...


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