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Volume of convex polytopes equals mixed volume of simplices (2108.12875v1)
Published 29 Aug 2021 in math.MG, math.AG, and math.CO
Abstract: This note provides a simple proof for the equality between the normalized volume of a convex polytope with $m$ vertices and the mixed volume of $m$ simplices and thus shows the seemingly restrictive problem of computing mixed volume of simplices is still at least as hard as computing volumes of convex polytopes.
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