翻訳と辞書 Words near each other ・ Cahalan Ó Corcrán ・ Cahaly v. LaRosa ・ Cahama ・ Cahan ・ Cahan (surname) ・ Cahan, Orne ・ Cahangirbəyli ・ Caharet ・ Cahas Mountain Rural Historic District ・ Cahaya Di Langit Itu ・ Cahaya LRT Station ・ CAHDI ・ CAHDİ Party ・ Cahela ・ Cahen ・ Cahen's constant ・ Cahenia ・ Caher ・ Caher (mountain) ・ Caher Island ・ Caher Mountain ・ Caher West Top ・ Caherboshina ・ Cahercommaun ・ Caherconlish ・ Caherconnell Stone Fort ・ Caherconree ・ Caherdaniel ・ Caherdavin ・ Caherelly 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 Cahen's constant ： ウィキペディア英語版 Cahen's constant In mathematics, Cahen's constant is defined as an infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence: :$C\; =\; \backslash sum\backslash frac=\backslash frac11\; -\; \backslash frac12\; +\; \backslash frac16\; -\; \backslash frac1\; +\; \backslash frac1\; -\; \backslash cdots\backslash approx\; 0.64341054629.$ By considering these fractions in pairs, we can also view Cahen's constant as a series of positive unit fractions formed from the terms in even positions of Sylvester's sequence; this series for Cahen's constant forms its greedy Egyptian expansion: :$C\; =\; \backslash sum\backslash frac+\backslash frac1+\backslash cdots$ This constant is named after Eugène Cahen (also known for the Cahen-Mellin integral), who first formulated and investigated its series . Cahen's constant is known to be transcendental . It is notable as being one of a small number of naturally occurring transcendental numbers for which we know the complete continued fraction expansion: if we form the sequence :1, 1, 2, 3, 14, 129, 25298, 420984147, ... defined by the recurrence relation :$q\_\; =\; q\_n^2\; q\_\; +\; q\_n$ then the continued fraction expansion of Cahen's constant is :$()$ . == References == * * 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「Cahen's 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.