翻訳と辞書 Words near each other ・ Young Man's Fancy (The Twilight Zone) ・ Young Mania Rating Scale ・ Young Mans Butte ・ Young Marble Giants ・ Young Marines ・ Young Marmalade ・ Young Marshall Moody ・ Young Marvelman ・ Young Marx ・ Young Masters ・ Young Maverick ・ Young Maylay ・ Young Maylay discography ・ Young MC ・ Young McCormack ・ Young measure ・ Young Medal and Prize ・ Young Medardus ・ Young Medics International Conference ・ Young Memorial Church ・ Young men ・ Young Men (Lebanon) ・ Young Men (organization) ・ Young Men and Fire ・ Young Men Gone West ・ Young Men in Spats ・ Young Men Society ・ Young Men's and Young Women's Hebrew Association Building ・ Young Men's Buddhist Association ・ Young Men's Buddhist Association (Burma) 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 Young measure ： ウィキペディア英語版 Young measure In mathematical analysis, a Young measure is a parameterized measure that is associated with certain subsequences of a given bounded sequence of measurable functions. Young measures have applications in the calculus of variations and the study of nonlinear partial differential equations, as well as in various optimization (or optimal control problems). They are named after Laurence Chisholm Young who invented them, however, in terms of linear functionals already in 1937 still before the measure theory has been developed. ==Definition== We let $\backslash \_^\backslash infty$ be a bounded sequence in $L^\backslash infty\; (U,\backslash mathbb^m)$, where $U$ denotes an open bounded subset of $\backslash mathbb^n$. Then there exists a subsequence $\backslash \_^\backslash infty\; \backslash subset\; \backslash \_^\backslash infty$ and for almost every $x\; \backslash in\; U$ a Borel probability measure $\backslash nu\_x$ on $\backslash mathbb^m$ such that for each $F\; \backslash in\; C(\backslash mathbb^m)$ we have $F(f\_)\; \backslash overset\; \backslash int\_\; F(y)d\backslash nu\_\backslash cdot(y)$ in $L^\backslash infty\; (U)$. The measures $\backslash nu\_x$ are called the Young measures generated by the sequence $\backslash \_^\backslash infty$. 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「Young measure」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.