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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 Quantum calculus ： ウィキペディア英語版 Quantum calculus Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits. It defines "q-calculus" and "h-calculus", where h ostensibly stands for Planck's constant while ''q'' stands for quantum. The two parameters are related by the formula :$q\; =\; e^\; =\; e^\; \backslash ,$ where $\backslash scriptstyle\; \backslash hbar\; =\; \backslash frac\; \backslash ,$ is the reduced Planck constant. ==Differentiation== In the q-calculus and h-calculus, differentials of functions are defined as :$d\_q(f(x))\; =\; f(qx)\; -\; f(x)\; \backslash ,$ and :$d\_h(f(x))\; =\; f(x\; +\; h)\; -\; f(x)\; \backslash ,$ respectively. Derivatives of functions are then defined as fractions by the q-derivative :$D\_q(f(x))\; =\; \backslash frac\; =\; \backslash frac$ and by :$D\_h(f(x))\; =\; \backslash frac\; =\; \backslash frac$ In the limit, as h goes to 0, or equivalently as q goes to 1, these expressions take on the form of the derivative of classical calculus. 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「Quantum calculus」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.