翻訳と辞書 Words near each other ・ Luís Alves de Lima e Silva, Duke of Caxias ・ Luís Alves River ・ Luís Amado ・ Luís Amaral ・ Luís Andrade ・ Luís André Alves Martins ・ Luís André da Silva ・ Luís Andrés Edo ・ Luís Antônio ・ Luís Antônio de Carvalho Ferraz ・ Luzifer (restaurant chain) ・ Luzillat ・ Luzillé ・ Luzilândia ・ Luzin ・ Luzin N property ・ Luzin space ・ Luzinay ・ Luzindole ・ Luzino ・ Luzino railway station ・ Luzinópolis ・ Luzio Dolci ・ Luzio Luzi ・ Luziola ・ Luzira ・ Luzira Head ・ Luzira Maximum Security Prison ・ Luzit ・ Luzitano Futebol Clube 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 Luzin N property ： ウィキペディア英語版 Luzin N property In mathematics, a function ''f'' on the interval (''b'' ) has the Luzin N property, named after Nikolai Luzin (also called Luzin property or N property) if for all $N\backslash subset()$ such that $\backslash lambda(N)=0$, there holds: $\backslash lambda(f(N))=0$, where $\backslash lambda$ stands for the Lebesgue measure. Note that the image of such a set ''N'' is not necessarily measurable, but since the Lebesgue measure is complete, it follows that if the Lebesgue outer measure of that set is zero, then it is measurable and its Lebesgue measure is zero as well. ==Properties== Every absolutely continuous function has the Luzin N property. The Cantor function on the other hand does not: the Lebesgue measure of the Cantor set is zero, however its image is the complete () interval. Also, if a function ''f'' on the interval () is continuous, is of bounded variation and has the Luzin N property, then it is absolutely continuous. 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「Luzin N property」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.