翻訳と辞書 Words near each other ・ Fokker E.III ・ Fokker E.IV ・ Fokker Eindecker fighters ・ Fokker F.10 ・ Fokker F.11 ・ Fohrenbühl ・ FOI ・ Foi language ・ Foi magia ・ FOIA ・ FOIA Exemption 3 Statutes ・ Foia Foia language ・ FOIA Oversight and Implementation Act of 2014 ・ Foiano della Chiana ・ Foiano di Val Fortore ・ Foias constant ・ Foiba ・ Foibe massacres ・ FOID ・ FOID (firearms) ・ Foidolite ・ Foie gras ・ Foie gras controversy ・ Foieni ・ Foighidinn – The Crimson Snowdrop ・ Foigny Abbey ・ Foil ・ Foil (architecture) ・ Foil (fencing) ・ Foil (fluid mechanics) 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 Foias constant ： ウィキペディア英語版 Foias constant In mathematical analysis, the Foias constant, is a number named after Ciprian Foias. If ''x''1 > 0 and : $x\_\; =\; \backslash left(\; 1\; +\; \backslash frac\; \backslash right)^n\backslash textn=1,2,3,\backslash ldots,$ then the Foias constant is the unique real number ''α'' such that if ''x''1 = ''α'' then the sequence diverges to ∞.〔Ewing, J. and Foias, C. "An Interesting Serendipitous Real Number." In ''Finite versus Infinite: Contributions to an Eternal Dilemma'' (Ed. C. Caluse and G. Păun). London: Springer-Verlag, pp. 119–126, 2000.〕 Numerically, it is : $\backslash alpha\; =\; 1.187452351126501\backslash ldots\backslash ,$ . No closed form is known. When ''x''1 = ''α'' then we have the limit: : $\backslash lim\_\; x\_n\; \backslash fracn\; =\; 1,$ where "log" denotes the usual natural logarithm. A fortuitous observation between the prime number theorem and this constant goes as follows, : $\backslash lim\_\; \backslash frac\; =\; 1,$ where is the prime-counting function.〔Ewing, J. and Foias, C. "An Interesting Serendipitous Real Number." In ''Finite versus Infinite: Contributions to an Eternal Dilemma'' (Ed. C. Caluse and G. Păun). London: Springer-Verlag, pp. 119–126, 2000.〕 ==See also== *Mathematical constant 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「Foias constant」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.