翻訳と辞書 Words near each other ・ Mellification ・ Mellified man ・ Mellifleur ・ Mellifont Abbey ・ Mellij Galleh ・ Mellikeri ・ Mellikon ・ Mellikon railway station ・ Mellila, Morocco ・ Mellilla ・ Mellilla xanthometata ・ Mellilä ・ Mellin ・ Mellin (disambiguation) ・ Mellin de Saint-Gelais ・ Mellin inversion theorem ・ Mellin transform ・ Melling ・ Melling (surname) ・ Melling Branch ・ Melling Chase ・ Melling Hellcat ・ Melling Racing ・ Melling Railway Station ・ Melling V8 ・ Melling Wildcat ・ Melling, Merseyside ・ Melling, New Zealand ・ Melling-with-Wrayton ・ Mellingen 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 Mellin inversion theorem ： ウィキペディア英語版 Mellin inversion theorem In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two-sided Laplace transform, are defined and recover the transformed function. == Method == If $\backslash varphi(s)$ is analytic in the strip , and if it tends to zero uniformly as $\backslash Im(s)\; \backslash to\; \backslash pm\; \backslash infty$ for any real value ''c'' between ''a'' and ''b'', with its integral along such a line converging absolutely, then if :$f(x)=\; \backslash \; \backslash varphi\; \backslash \}\; =\; \backslash frac\; \backslash int\_^\; x^\; \backslash varphi(s)\backslash ,\; ds$ we have that :$\backslash varphi(s)=\; \backslash \; =\; \backslash int\_0^\; x^s\; f(x)\backslash ,\backslash frac.$ Conversely, suppose ''f''(''x'') is piecewise continuous on the positive real numbers, taking a value halfway between the limit values at any jump discontinuities, and suppose the integral :$\backslash varphi(s)=\backslash int\_0^\; x^s\; f(x)\backslash ,\backslash frac$ is absolutely convergent when . Then ''f'' is recoverable via the inverse Mellin transform from its Mellin transform $\backslash varphi$. 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「Mellin inversion theorem」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.