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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 Transcendental law of homogeneity ： ウィキペディア英語版 Transcendental law of homogeneity The transcendental law of homogeneity (TLH) is a heuristic principle enunciated by Gottfried Wilhelm Leibniz most clearly in a 1710 text entitled ''Symbolismus memorabilis calculi algebraici et infinitesimalis in comparatione potentiarum et differentiarum, et de lege homogeneorum transcendentali'' (see Leibniz ''Mathematische Schriften'', (1863), edited by C. I. Gerhardt, volume V, pages 377-382). Henk J. M. Bos describes it as the principle to the effect that in a sum involving infinitesimals of different orders, only the lowest-order term must be retained, and the remainder discarded. Thus, if $a$ is finite and $dx$ is infinitesimal, then one sets :$a+dx=a$. Similarly, :$u\backslash ,dv+v\backslash ,du+du\backslash ,dv=u\backslash ,dv+v\backslash ,du,$ where the higher-order term ''du dv'' is discarded in accordance with the TLH. A recent study argues that Leibniz's TLH was a precursor of the standard part function over the hyperreals. ==See also== *Law of Continuity *Adequality 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「Transcendental law of homogeneity」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.