翻訳と辞書 Words near each other ・ Subsonic (EP) ・ Subsonic (media server) ・ SubSonic (software) ・ Subsonic aircraft ・ Subsonic ammunition ・ Subsonic and transonic wind tunnel ・ Subsonic Factor ・ Subsonic Music Festival ・ Subsonica ・ Subsource ・ Subspace ・ SubSpace (video game) ・ Subspace Encounter ・ Subspace Explorers ・ Subspace Gaussian Mixture Model ・ Subspace theorem ・ Subspace topology ・ Subspecialty ・ Subspecies ・ Subspecies (film series) ・ Subspecies of Canis lupus ・ Subspecies of Galápagos tortoise ・ Subspecific name ・ Subsporangial vesicle ・ Subsquamosal fenestra ・ SUBST ・ SubStance ・ Substance ・ Substance (Blank & Jones album) ・ Substance (Joy Division album) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Subspace theorem ： ウィキペディア英語版 Subspace theorem In mathematics, the subspace theorem is a result obtained by . It states that if ''L''1,...,''L''''n'' are linearly independent linear forms in ''n'' variables with algebraic coefficients and if ε>0 is any given real number, then the non-zero integer points ''x'' with : lie in a finite number of proper subspaces of Q''n''. A quantitative form of the theorem, in which the number of subspaces containing all solutions, was also obtained by Schmidt, and the theorem was generalised by to allow more general absolute values on number fields. The theorem may be used to obtain results on Diophantine equations such as Siegel's theorem on integral points and solution of the S-unit equation. ==A corollary on Diophantine approximation== The following corollary to the subspace theorem is often itself referred to as the ''subspace theorem''. If ''a''1,...,''a''''n'' are algebraic such that 1,''a''1,...,''a''''n'' are linearly independent over Q and ε>0 is any given real number, then there are only finitely many rational ''n''-tuples (''x''1/y,...,''x''''n''/y) with : The specialization ''n'' = 1 gives the Thue–Siegel–Roth theorem. One may also note that the exponent 1+1/''n''+ε is best possible by Dirichlet's theorem on diophantine approximation. 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「Subspace 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.