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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 Feller's coin-tossing constants ： ウィキペディア英語版 Feller's coin-tossing constants Feller's coin-tossing constants are a set of numerical constants which describe asymptotic probabilities that in ''n'' independent tosses of a fair coin, no run of ''k'' consecutive heads (or, equally, tails) appears. William Feller showed〔Feller, W. (1968) An Introduction to Probability Theory and Its Applications, Volume 1 (3rd Edition), Wiley. ISBN 0-471-25708-7 Section XIII.7〕 that if this probability is written as ''p''(''n'',''k'') then :$$ \lim_ p(n,k) \alpha_k^=\beta_k\, where α''k'' is the smallest positive real root of :$x^=2^(x-1)\backslash ,$ and :$\backslash beta\_k=.$ ==Values of the constants== For $k=2$ the constants are related to the golden ratio and Fibonacci numbers; the constants are $\backslash sqrt-1=2\backslash varphi-2=2/\backslash varphi$ and $1-1/\backslash sqrt$. For higher values of $k$ they are related to generalizations of Fibonacci numbers such as the tribonacci and tetranacci constants. 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「Feller's coin-tossing constants」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.