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A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...

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Nonzero convex combinations of convex hull vertices to yield an inner point

Two questions: 1) (ALREADY ANSWERED) This is likely to be a very basic question for you folks. Carathéodory's theorem gives us an upper bound for the minimum number of convex hull vertices that can …
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