翻訳と辞書 Words near each other ・ Śniadowo, Podlaskie Voivodeship ・ Ślepkowo Królewskie ・ Ślepkowo Szlacheckie ・ Ślepowola ・ Ślepowron ・ Ślepowron coat of arms ・ Ślepowron, Masovian Voivodeship ・ Ślepowrony, Ostrów Mazowiecka County ・ Ślepowrony, Płońsk County ・ Ślepuchowo ・ Ślesin ・ Ślesin, Kuyavian-Pomeranian Voivodeship ・ Śleszowice ・ Śleszyn ・ Śleszynek ・ Śleszyński–Pringsheim theorem ・ Śleszów ・ Ślipcze ・ Śliski ・ Śliwa, Warmian-Masurian Voivodeship ・ Śliwaków ・ Śliwice ・ Śliwice, Kuyavian-Pomeranian Voivodeship ・ Śliwice, Lower Silesian Voivodeship ・ Śliwice, Opole Voivodeship ・ Śliwice, Warmian-Masurian Voivodeship ・ Śliwiczki ・ Śliwin ・ Śliwiny, Masovian Voivodeship ・ Śliwiny, Pomeranian Voivodeship 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 Śleszyński–Pringsheim theorem ： ウィキペディア英語版 Śleszyński–Pringsheim theorem In mathematics, the Śleszyński–Pringsheim theorem is a statement about convergence of certain continued fractions. It was discovered by Ivan Śleszyński and Alfred Pringsheim in the late 19th century.〔W.J.Thron has found evidence that Pringsheim was aware of the work of Śleszyński before he published his article; see 〕 It states that if ''a''''n'', ''b''''n'', for ''n'' = 1, 2, 3, ... are real numbers and |''b''''n''| ≥ |''a''''n''| + 1 for all ''n'', then : $\backslash cfrac\}\}$ converges absolutely to a number ''ƒ'' satisfying 0 < |''ƒ''| < 1, meaning that the series :$f\; =\; \backslash sum\_n\; \backslash left\backslash \; -\; \backslash frac\}\backslash right\backslash \},$ where ''A''''n'' / ''B''''n'' are the convergents of the continued fraction, converges absolutely. ==See also== *Convergence problem 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「Śleszyński–Pringsheim 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.