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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 Borwein's algorithm ： ウィキペディア英語版 Borwein's algorithm In mathematics, Borwein's algorithm is an algorithm devised by Jonathan and Peter Borwein to calculate the value of 1/π. They devised several other algorithms. They published a book: Jonathon M. Borwein, Peter B. Borwein, Pi and the AGM - A Study in Analytic Number Theory and Computational Complexity, Wiley, New York, 1987. Many of their results are available in: Jorg Arndt, Christoph Haenel, Pi Unleashed, Springer, Berlin, 2001, ISBN 3-540-66572-2. ==Jonathan Borwein and Peter Borwein's Version (1993)== Start out by setting : $\backslash begin$ A &= 63365028312971999585426220 \\ &\quad + 28337702140800842046825600\sqrt \\ &\quad + 384\sqrt (10891728551171178200467436212395209160385656017 \\ &\qquad + 4870929086578810225077338534541688721351255040\sqrt)^ \\ B &= 7849910453496627210289749000 \\ &\quad + 3510586678260932028965606400\sqrt \\ &\quad + 2515968\sqrt(6260208323789001636993322654444020882161 \\ &\qquad + 2799650273060444296577206890718825190235\sqrt)^ \\ C &= -214772995063512240 \\ &\quad - 96049403338648032\sqrt \\ &\quad - 1296\sqrt(10985234579463550323713318473 \\ &\qquad + 4912746253692362754607395912\sqrt)^ \end Then : $\backslash frac\; =\; \backslash sum\_^\; \backslash frac$ Each additional term of the series yields approximately 50 digits. This is an example of a Ramanujan–Sato series. 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「Borwein's algorithm」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.