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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 Chudnovsky algorithm ： ウィキペディア英語版 Chudnovsky algorithm The Chudnovsky algorithm is a fast method for calculating the digits of π. It was published by the Chudnovsky brothers in 1989,〔.〕 and was used in the world record calculations of 2.7 trillion digits of π in December 2009,〔.〕 5 trillion digits of π in August 2010,〔.〕 10 trillion digits of π in October 2011, and 12.1 trillion digits in December 2013. The algorithm is based on the negated Heegner number $d=-163$, the j-function $j\backslash big(\backslash tfrac\backslash big)\; =\; -640320^3$, and on the following rapidly convergent generalized hypergeometric series:〔 :$\backslash frac\; =\; 12\; \backslash sum^\backslash infty\_\; \backslash frac\}\; \backslash approx\; 640320^3+743.99999999999925\backslash dots$ This identity is similar to some of Ramanujan's formulas involving π,〔 and is an example of a Ramanujan–Sato series. ==See also== *Numerical approximations of π *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「Chudnovsky 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.