翻訳と辞書 Words near each other ・ Domina Jalbert ・ Dominador Baldomero Bazán ・ Dominador Chipeco, Jr. ・ Dominador Gomez ・ Dominae ・ Dominair ・ Dominance ・ Dominance (C++) ・ Dominance (ecology) ・ Dominance (economics) ・ Dominance (ethology) ・ Dominance (genetics) ・ Dominance and submission ・ Dominance drawing ・ Dominance hierarchy ・ Dominance order ・ Dominance signal ・ Dominance-based rough set approach ・ Dominant (music) ・ Dominant cadence ・ Dominant Clearbody budgerigar mutation ・ Dominant culture ・ Dominant design ・ Dominant estate ・ Dominant Factor Test ・ Dominant functor ・ Dominant Grey budgerigar mutation ・ Dominant ideology ・ Dominant Legs ・ Dominant logic 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 Dominance order ： ウィキペディア英語版 Dominance order In discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural ordering) is a partial order on the set of partitions of a positive integer ''n'' that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric functions and representation theory of the symmetric group. == Definition == If ''p'' = (''p''1,''p''2,…) and ''q'' = (''q''1,''q''2,…) are partitions of ''n'', with the parts arranged in the weakly decreasing order, then ''p'' precedes ''q'' in the dominance order if for any ''k'' ≥ 1, the sum of the ''k'' largest parts of ''p'' is less than or equal to the sum of the ''k'' largest parts of ''q'': : $p\backslash trianglelefteq\; q\; \backslash text\; p\_1+\backslash cdots+p\_k\; \backslash leq\; q\_1+\backslash cdots+q\_k\; \backslash text\; k\backslash geq\; 1.$ In this definition, partitions are extended by appending zero parts at the end as necessary. 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「Dominance order」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.