翻訳と辞書 Words near each other ・ CM Airlines ・ CM Almy ・ CM Draconis ・ CM Gautam ・ CM Ibrahim ・ CM Labs Simulations ・ CM Lodestar electric chain hoist ・ CM postcode area ・ CM Punk ・ CM Yoko ・ CM& ・ Cm-1 ・ CM-2 ・ CM-32 Armoured Vehicle ・ CM-501G ・ CM-field ・ CM/ECF ・ CM1 ・ CM101MMXI Fundamentals ・ CM2 ・ CM3 ・ CM4 ・ CM5 ・ CMA ・ CMA (AAMA) ・ CMA CGM ・ CMA CGM Alexander von Humboldt ・ CMA CGM Amerigo Vespucci ・ CMA CGM Butterfly ・ CMA CGM Christophe Colomb 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 CM-field ： ウィキペディア英語版 CM-field In mathematics, a CM-field is a particular type of number field, so named for a close connection to the theory of complex multiplication. Another name used is J-field. The abbreviation "CM" was introduced by . ==Formal definition== A number field ''K'' is a CM-field if it is a quadratic extension ''K''/''F'' where the base field ''F'' is totally real but ''K'' is totally imaginary. I.e., every embedding of ''F'' into $\backslash mathbb\; C$ lies entirely within $\backslash mathbb\; R$, but there is no embedding of ''K'' into $\backslash mathbb\; R$. In other words, there is a subfield ''F'' of ''K'' such that ''K'' is generated over ''F'' by a single square root of an element, say β = $\backslash sqrt$, in such a way that the minimal polynomial of β over the rational number field $\backslash mathbb\; Q$ has all its roots non-real complex numbers. For this α should be chosen ''totally negative'', so that for each embedding σ of $K\text{'}$ into the real number field, σ(α) < 0. 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「CM-field」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.