翻訳と辞書 Words near each other ・ Classification of swords ・ Classification of the Cactaceae ・ Classification of the Functions of Government ・ Classification of the sciences (Peirce) ・ Classification of Thracian ・ Classification of transsexual people ・ Classification of Types of Construction ・ Classification of wine ・ Classification Research Group ・ Classification rule ・ Classification scheme ・ Classification schemes for indigenous languages of the Americas ・ Classification schemes for Southeast Asian languages ・ Classification society ・ Classification System for Serial Criminal Patterns ・ Classification theorem ・ Classification theory ・ Classification Tree Method ・ Classification yard ・ Classifications of fairies ・ Classifications of poor used in the Poor Law system ・ Classifications of religious movements ・ Classifications of scholarship ・ Classificatory disputes about art ・ Classificatory kinship ・ Classified ・ Classified (1925 film) ・ Classified (Bond album) ・ Classified (Classified album) ・ Classified (rapper) 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 Classification theorem ： ウィキペディア英語版 Classification theorem In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class. A few related issues to classification are the following. *The equivalence problem is "given two objects, determine if they are equivalent". *A complete set of invariants, together with which invariants are realizable, solves the classification problem, and is often a step in solving it. *A computable complete set of invariants (together with which invariants are realizable) solves both the classification problem and the equivalence problem. * A canonical form solves the classification problem, and is more data: it not only classifies every class, but gives a distinguished (canonical) element of each class. There exist many classification theorems in mathematics, as described below. ==Geometry== * Classification of Euclidean plane isometries * Classification theorem of surfaces * * Classification of two-dimensional closed manifolds * * Enriques–Kodaira classification of algebraic surfaces (complex dimension two, real dimension four) * * Nielsen–Thurston classification which characterizes homeomorphisms of a compact surface * Thurston's eight model geometries, and the geometrization conjecture 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「Classification 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.