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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 Generation of binomial series using calculus ： ウィキペディア英語版 Generation of binomial series using calculus The evaluation of a binomial expression requires extensive calculations. A useful mnemonic to facilitate its evaluation is outlined herein. The initial term, which consists of a power of the first variable, is differentiated. This expression is then integrated with respect to the second variable. This yields the second term. This process is repeated until the first variable vanishes. For example, to evaluate (a + b)3, the procedure results in the following: a3 + 3 *a2 *b + 3 *2 *a *b2/2 + 3 *2 *1 *b3/2 *3. Clear of fractions to arrive at: a3 + 3 *a2 *b + 3 *a *b2 + b3 To evaluate (b + a)3, the process is the same; this suggests that (a + b)n can be encoded as anb0 or as bna0. Category : Algebra 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「Generation of binomial series using 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.