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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 Hardy–Ramanujan theorem ： ウィキペディア英語版 Hardy–Ramanujan theorem In mathematics, the Hardy–Ramanujan theorem, proved by , states that the normal order of the number ω(''n'') of distinct prime factors of a number ''n'' is log(log(''n'')). Roughly speaking, this means that most numbers have about this number of distinct prime factors. ==Precise statement== A more precise version states that for any real-valued function ψ(''n'') that tends to infinity as ''n'' tends to infinity : or more traditionally : for ''almost all'' (all but an infinitesimal proportion of) integers. That is, let ''g''(''x'') be the number of positive integers ''n'' less than ''x'' for which the above inequality fails: then ''g''(''x'')/''x'' converges to zero as ''x'' goes to infinity. 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「Hardy–Ramanujan theorem」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.