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词汇 Permutohedron
分类 英语词汇 英语翻译词典
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Permutohedron

英语百科

Permutohedron

The permutohedron of order 4
The 13 weak orderings on (or ordered partitions of) the set 1,2,3 in the permutohedron-like Cayley graph of S3
Cayley graph of S4, generated by the 3 adjacent transpositions of 4 elementsOnly self-inverse permutations are at the same positions as in the permutohedron; the others are replaced by their inverses.
Tesselation of space by permutohedra

In mathematics, the permutohedron of order n (also spelled permutahedron) is an (n  1)-dimensional polytope embedded in an n-dimensional space, the vertices of which are formed by permuting the coordinates of the vector (1, 2, 3, ..., n).

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