翻訳と辞書 Words near each other ・ Fradique Mendes ・ Fradkin ・ Fradkin Brothers Furniture ・ Fradley ・ Fradley Junction ・ Fradswell ・ Frady ・ Frae Wilson ・ Fraenkel Gallery ・ Fraenkelryggen Formation ・ Fraeylemaborg ・ Frafjord ・ Frafjorden ・ Fractal compression ・ Fractal cosmology ・ Fractal derivative ・ Fractal Design ・ Fractal dimension ・ Fractal dimension on networks ・ Fractal flame ・ Fractal Glider ・ Fractal globule ・ Fractal in soil mechanics ・ Fractal lake ・ Fractal landscape ・ Fractal Notes and Shoe Throats ・ Fractal Possession ・ Fractal Records ・ Fractal sequence ・ Fractal transform 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 Fractal derivative ： ウィキペディア英語版 Fractal derivative In applied mathematics and mathematical analysis, the fractal derivative is a nonstandard type of derivative in which the variable such as ''t'' has been scaled according to ''tα''. The derivative is defined in fractal geometry. == Physical background == Porous media, aquifer, turbulence and other media usually exhibit fractal properties. The classical physical laws such as Fick's laws of diffusion, Darcy's law and Fourier's law are no longer applicable for such media, because they are based on Euclidean geometry, which doesn't apply to media of non-integer fractal dimensions. The basic physical concepts such as distance and velocity in fractal media are required to be redefined; the scales for space and time should be transformed according to (''xβ'', ''tα''). The elementary physical concepts such as velocity in a fractal spacetime (''xβ'', ''tα'') can be redefined by: :$v\text{'}\; =\; \backslash frac=\backslash frac\backslash ,,\backslash quad\; \backslash alpha,\backslash beta>0$, where ''Sα,β'' represents the fractal spacetime with scaling indices ''α'' and ''β''. The traditional definition of velocity makes no sense in the non-differentiable fractal spacetime. 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「Fractal derivative」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.