Hypersimplex

In polyhedral combinatorics, a hypersimplex, Δ_d,k, is a convex polytope that generalizes the simplex. It is determined by two parameters d and k, and is defined as the convex hull of the d-dimensional vectors whose coefficients consist of k ones and d − k zeros. It forms a (d − 1)-dimensional polytope, because all of these vectors lie in a single (d − 1)-dimensional hyperplane.

单词	Hypersimplex
释义	Hypersimplex 英语百科 Hypersimplex In polyhedral combinatorics, a hypersimplex, Δ_d,k, is a convex polytope that generalizes the simplex. It is determined by two parameters d and k, and is defined as the convex hull of the d-dimensional vectors whose coefficients consist of k ones and d − k zeros. It forms a (d − 1)-dimensional polytope, because all of these vectors lie in a single (d − 1)-dimensional hyperplane.
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