翻訳と辞書 Words near each other ・ Bombers (David Bowie song) ・ Bombers (Gary Numan song) ・ Bombers Affair ・ Bombers B-52 ・ Bombers in the Sky ・ Bombesin ・ Bombesin receptor ・ Bombesin-like peptides ・ Bombesin-like receptor 3 ・ Bombetoka Bay ・ Bombhead ・ Bombhunters ・ Bombia ・ Bombiciella ・ Bombie ・ Bombieri norm ・ Bombieri's theorem ・ Bombieri–Vinogradov theorem ・ Bombil and Beatrice ・ Bombilla ・ Bombinatoridae ・ Bombing Hitler's Dams ・ Bombing of Akita in World War II ・ Bombing of Alicante ・ Bombing of Aomori in World War II ・ Bombing of Augsburg in World War II ・ Bombing of Bahrain in World War II ・ Bombing of Bangkok in World War II ・ Bombing of Banski dvori ・ Bombing of Barcelona 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 Bombieri norm ： ウィキペディア英語版 Bombieri norm In mathematics, the Bombieri norm, named after Enrico Bombieri, is a norm on homogeneous polynomials with coefficient in $\backslash mathbb\; R$ or $\backslash mathbb\; C$ (there is also a version for non homogeneous univariate polynomials). This norm has many remarkable properties, the most important being listed in this article. ==Bombieri scalar product for homogeneous polynomials== To start with the geometry, the ''Bombieri scalar product'' for homogeneous polynomials with ''N'' variables can be defined as follows using multi-index notation: :$\backslash forall\; \backslash alpha,\backslash beta\; \backslash in\; \backslash mathbb^N$ by definition different monomials are orthogonal, so that :$\backslash langle\; X^\backslash alpha\; |\; X^\backslash beta\; \backslash rangle\; =\; 0$ if $\backslash alpha\; \backslash neq\; \backslash beta,$ while :$\backslash forall\; \backslash alpha\; \backslash in\; \backslash mathbb^N$ by definition :$\backslash |X^\backslash alpha\backslash |^2\; =\; \backslash frac.$ In the above definition and in the rest of this article the following notation applies: if :$\backslash alpha\; =\; (\backslash alpha\_1,\backslash dots,\backslash alpha\_N)\; \backslash in\; \backslash mathbb^N,$ write :$|\backslash alpha|\; =\; \backslash Sigma\_^N\; \backslash alpha\_i$ and :$\backslash alpha!\; =\; \backslash Pi\_^N\; (\backslash alpha\_i!)$ and :$X^\backslash alpha\; =\; \backslash Pi\_^N\; X\_i^.$ 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「Bombieri norm」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.