翻訳と辞書 Words near each other ・ Complete Works of Shakespeare ・ Complete Works of Voltaire ・ Complete-linkage clustering ・ Completed revelation ・ Completed staff work ・ Completed-contract method ・ CompleteFTP ・ Completely ・ Completely (Christian Bautista album) ・ Completely (Diamond Rio album) ・ Completely distributive lattice ・ Completely Fair Scheduler ・ Completely Free ・ Completely in Luv' ・ Completely metrizable space ・ Completely multiplicative function ・ Completely positive map ・ Completely randomized design ・ Completely regular semigroup ・ Completely Serious ・ Completely uniformizable space ・ Completely Well ・ Completely-S matrix ・ CompletelyNovel ・ Completement Nue Au Soleil ・ Completeness ・ Completeness (cryptography) ・ Completeness (knowledge bases) ・ Completeness (logic) ・ Completeness (order theory) 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 Completely multiplicative function ： ウィキペディア英語版 Completely multiplicative function In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article. ==Definition== A completely multiplicative function (or totally multiplicative function) is an arithmetic function (that is, a function whose domain is the natural numbers), such that ''f''(1) = 1 and ''f''(''ab'') = ''f''(''a'') ''f''(''b'') holds ''for all'' positive integers ''a'' and ''b''. Without the requirement that ''f''(1) = 1, one could still have ''f''(1) = 0, but then ''f''(''a'') = 0 for all positive integers ''a'', so this is not a very strong restriction. The definition above can be rephrased using the language of algebra: A completely multiplicative function is an endomorphism of the monoid $(\backslash mathbb\; Z^+,\backslash cdot)$, that is, the positive integers under multiplication. 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「Completely multiplicative function」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.