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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

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Find which section of a convex polytope a point belongs to

Consider the convex polytope in dimension $n$ with vertex set $V$ given by the origin and the $n$ points $$ e_i=\begin{bmatrix}0,\dots,0,\underset{i\text{-th coordinate}}{1},0,\dots,0\end{bmatrix}, i\ …
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