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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 Soldner constant ： ウィキペディア英語版 Ramanujan–Soldner constant In mathematics, the Ramanujan–Soldner constant (also called the Soldner constant) is a mathematical constant defined as the unique positive zero of the logarithmic integral function. It is named after Srinivasa Ramanujan and Johann Georg von Soldner. Its value is approximately ''μ'' ≈ 1.451369234883381050283968485892027449493… Since the logarithmic integral is defined by :$\backslash mathrm(x)\; =\; \backslash int\_0^x\; \backslash frac,$ we have :$\backslash mathrm(x)\backslash ;=\backslash ;\backslash mathrm(x)\; -\; \backslash mathrm(\backslash mu)$ :$\backslash int\_0^x\; \backslash frac\; =\; \backslash int\_0^x\; \backslash frac\; -\; \backslash int\_0^\; \backslash frac$ :$\backslash mathrm(x)\; =\; \backslash int\_^x\; \backslash frac,$ thus easing calculation for positive integers. Also, since the exponential integral function satisfies the equation :$\backslash mathrm(x)\backslash ;=\backslash ;\backslash mathrm(\backslash ln),$ the only positive zero of the exponential integral occurs at the natural logarithm of the Ramanujan–Soldner constant, whose value is approximately ln(''μ'') ≈ 0.372507410781366634461991866… ==External links== * 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「Ramanujan–Soldner 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.