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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 Logarithmic integral function ： ウィキペディア英語版 Logarithmic integral function In mathematics, the logarithmic integral function or integral logarithm li(''x'') is a special function. It is relevant in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of prime numbers less than a given value. ==Integral representation== The logarithmic integral has an integral representation defined for all positive real numbers ''x'' ≠ 1 by the definite integral: :$(x)\; =\; \backslash int\_0^x\; \backslash frac.\; \backslash ;$ Here, ln denotes the natural logarithm. The function $1/\backslash ln(t)$ has a singularity at ''t'' = 1, and the integral for ''x'' > 1 has to be interpreted as a ''Cauchy principal value'': :$(x)\; =\; \backslash lim\_\; \backslash left(\; \backslash int\_0^\; \backslash frac\; +\; \backslash int\_^x\; \backslash frac\; \backslash right).\; \backslash ;$ 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「Logarithmic integral function」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.