翻訳と辞書 Words near each other ・ Carlea, Saskatchewan ・ Carlebach ・ Carlebach minyan ・ Carlebach movement ・ Carlecotes ・ Carlee Beattie ・ Carlee Hoffman ・ Carlee Taylor ・ Carleen (given name) ・ Carleen and the Groovers ・ Carleen Anderson ・ Carleen Hutchins ・ Carleete ・ Carleigh Williams ・ Carleman matrix ・ Carleman's condition ・ Carleman's equation ・ Carleman's inequality ・ Carlemanniaceae ・ Carlen House ・ Carlen v Drury ・ Carlena Beard ・ Carlencas-et-Levas ・ Carlene ・ Carlene (name) ・ Carlene (song) ・ Carlene Aguilar ・ Carlene Carter ・ Carlene Carter discography ・ Carlene Davis 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 Carleman's condition ： ウィキペディア英語版 Carleman's condition In mathematics, particularly, in analysis, Carleman's condition gives a sufficient condition for the determinacy of the moment problem. That is, if a measure ''μ'' satisfies Carleman's condition, there is no other measure ''ν'' having the same moments as ''μ''. The condition was discovered by Torsten Carleman in 1922. ==Hamburger moment problem== For the Hamburger moment problem (the moment problem on the whole real line), the theorem states the following: Let ''μ'' be a measure on R such that all the moments :$m\_n\; =\; \backslash int\_^\; x^n\; \backslash ,\; d\backslash mu(x)~,\; \backslash quad\; n\; =\; 0,1,2,\backslash cdots$ are finite. If :$\backslash sum\_^\backslash infty\; m\_^\}\; =\; +\; \backslash infty,$ then the moment problem for ''m''''n'' is ''determinate''; that is, ''μ'' is the only measure on R with (''m''''n'') as its sequence of moments. 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「Carleman's condition」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.