翻訳と辞書 Words near each other ・ Multinational Gas and Petrochemical Co v Multinational Gas and Petrochemical Services Ltd ・ Multinational Joint Task Force ・ Multinational Land Force ・ Multinational Monitor ・ Multinational Publications Electronic Library ・ Multinational state ・ Multinationals in India ・ MultiNet ・ Multinet Gas ・ Multinodular goitre ・ Multinomial ・ Multinomial distribution ・ Multinomial logistic regression ・ Multinomial probit ・ Multinomial test ・ Multinomial theorem ・ Multinucleate ・ Multinucleate cell angiohistocytoma ・ Multiocular O ・ Multiomics ・ MultiOTP ・ Multipacket reception ・ Multipactor effect ・ MultiPark ・ Multipart ・ Multipart Solutions ・ Multipart stationery ・ Multipartite ・ Multipartite entanglement ・ Multipartite graph 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 Multinomial theorem ： ウィキペディア英語版 Multinomial theorem In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem to polynomials. ==Theorem== For any positive integer ''m'' and any nonnegative integer ''n'', the multinomial formula tells us how a sum with ''m'' terms expands when raised to an arbitrary power ''n'': :$(x\_1\; +\; x\_2\; +\; \backslash cdots\; +\; x\_m)^n$ = \sum_ \prod_x_^ = \frac is a multinomial coefficient. The sum is taken over all combinations of nonnegative integer indices ''k''1 through ''k''''m'' such that the sum of all ''k''i is ''n''. That is, for each term in the expansion, the exponents of the ''x''''i'' must add up to ''n''. Also, as with the binomial theorem, quantities of the form ''x''0 that appear are taken to equal 1 (even when ''x'' equals zero). In the case ''m'' = 2, this statement reduces to that of the binomial theorem. 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「Multinomial theorem」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.