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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Marvin Ray Burns ： ウィキペディア英語版 MRB constant The MRB constant, named after Marvin Ray Burns, is a mathematical constant for which no closed-form expression is known. It is not known whether the MRB constant is algebraic, transcendental, or even irrational. The numerical value of MRB constant, truncated to 6 decimal places, is : . ==Definition== The MRB constant is related to the following divergent series: : $\backslash sum\_^\; (-1)^k\; k^.$ Its partial sums : $s\_n\; =\; \backslash sum\_^n\; (-1)^k\; k^$ are bounded so that their limit points form an interval () of length 1. The upper limit point 0.187859… is what is known as the MRB constant.〔 〕 The MRB constant can be explicitly defined by the following infinite sums: : $0.187859\backslash ldots\; =\; \backslash sum\_^\; (-1)^k\; (k^\; -\; 1)\; =\; \backslash sum\_^\; \backslash left((2k)^\; -\; (2k-1)^\backslash right).$ There is no known closed-form expression of the MRB 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「MRB 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.