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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 Thue–Siegel–Roth theorem ： ウィキペディア英語版 Thue–Siegel–Roth theorem In mathematics, the Thue–Siegel–Roth theorem, also known simply as Roth's theorem, is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that a given algebraic number $\backslash alpha$ may not have too many rational number approximations, that are 'very good'. Over half a century, the meaning of ''very good'' here was refined by a number of mathematicians, starting with Joseph Liouville in 1844 and continuing with work of , , , and . == Statement == The Thue–Siegel–Roth theorem states that any irrational algebraic number $\backslash alpha$ has approximation exponent equal to 2, ''i.e.'', for given $\backslash epsilon>0$, the inequality : with $C(\backslash alpha,\backslash epsilon)$ a positive number depending only on $\backslash epsilon>0$ and $\backslash alpha$. 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「Thue–Siegel–Roth 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.