翻訳と辞書 Words near each other ・ Cyclic nucleotide phosphodiesterase ・ Cyclic nucleotide-binding domain ・ Cyclic nucleotide-gated channel alpha 1 ・ Cyclic nucleotide-gated channel alpha 2 ・ Cyclic nucleotide-gated channel alpha 3 ・ Cyclic nucleotide-gated channel alpha 4 ・ Cyclic nucleotide-gated ion channel ・ Cyclic number ・ Cyclic number (group theory) ・ Cyclic olefin copolymer ・ Cyclic order ・ Cyclic ozone ・ Cyclic peptide ・ Cyclic permutation ・ Cyclic Poets ・ Cyclic polytope ・ Cyclic prefix ・ Cyclic pump ・ Cyclic pyranopterin monophosphate ・ Cyclic pyranopterin monophosphate synthase ・ Cyclic quadrilateral ・ Cyclic reduction ・ Cyclic redundancy check ・ Cyclic salt ・ Cyclic sediments ・ Cyclic set ・ Cyclic sieving ・ Cyclic stress ・ Cyclic subspace ・ Cyclic succession Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cyclic polytope ： ウィキペディア英語版 Cyclic polytope In mathematics, a cyclic polytope, denoted ''C''(''n'',''d''), is a convex polytope formed as a convex hull of ''n'' distinct points on a rational normal curve in R''d'', where ''n'' is greater than ''d''. These polytopes were studied by Constantin Carathéodory, David Gale, Theodore Motzkin, Victor Klee, and others. They play an important role in polyhedral combinatorics: according to the upper bound theorem, proved by Peter McMullen and Richard Stanley, the boundary ''Δ''(''n'',''d'') of the cyclic polytope ''C''(''n'',''d'') maximizes the number ''f''''i'' of ''i''-dimensional faces among all simplicial spheres of dimension ''d'' − 1 with ''n'' vertices. == Definition == The moment curve in $\backslash mathbb^d$ is defined by :$\backslash mathbf:\backslash mathbb\; \backslash rightarrow\; \backslash mathbb^d,\; \backslash mathbf(t)\; :=\; \backslash begint,t^2,\backslash ldots,t^d\backslash end^T$. The $d$-dimensional cyclic polytope with $n$ vertices is the convex hull :$C(n,d)\; :=\; \backslash mathbf\backslash (t\_2),\backslash ldots,\backslash mathbf(t\_n)\; \backslash \}$ of $n\; >\; d\; \backslash ge\; 2$ distinct points $\backslash mathbf(t\_i)$ with on the moment curve.〔 The combinatorial structure of this polytope is independent of the points chosen, and the resulting polytope has dimension ''d'' and ''n'' vertices.〔 Its boundary is a (''d'' − 1)-dimensional simplicial polytope denoted ''Δ''(''n'',''d''). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cyclic polytope」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.