翻訳と辞書 Words near each other ・ Bulgarian Republic Football Championship ・ Bulgarian republic referendum, 1946 ・ Bulgarian resistance movement during World War II ・ Bulgarian Revolutionary Central Committee ・ Bulgarian Rhapsody ・ Bulgarian royal family ・ Bulgarian Sailing Federation ・ Bulgarian Scenthound ・ Bulgarian Secret Central Revolutionary Committee ・ Bulgarian Secret Revolutionary Brotherhood ・ Bulgarian Sign Language ・ Bulgarian Social Democratic Party ・ Bulgarian Social Democratic Workers Party (Broad Socialists) ・ Bulgarian Socialdemocratic Party ・ Bulgarian Socialist Party ・ Bulgarian solitaire ・ Bulgarian South-East V AFG ・ Bulgarian South-West V AFG ・ Bulgarian Sportsperson of the Year ・ Bulgarian St. Stephen Church ・ Bulgarian State Football Championship ・ Bulgarian State Railways ・ Bulgarian State Television Female Vocal Choir ・ Bulgarian Stock Exchange – Sofia ・ Bulgarian Supercup ・ Bulgarian toponyms in Antarctica ・ Bulgarian toponyms in Antarctica A ・ Bulgarian toponyms in Antarctica B ・ Bulgarian toponyms in Antarctica C ・ Bulgarian toponyms in Antarctica D Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bulgarian solitaire ： ウィキペディア英語版 Bulgarian solitaire In mathematics and game theory, Bulgarian solitaire is a card game that was introduced by Martin Gardner. In the game, a pack of $N$ cards is divided into several piles. Then for each pile, remove one card; collect the removed cards together to form a new pile (piles of zero size are ignored). If $N$ is a triangular number (that is, $N=1+2+\backslash cdots+k$ for some $k$), then it is known that Bulgarian solitaire will reach a stable configuration in which the sizes of the piles are $1,2,\backslash ldots,\; k$. This state is reached in $k^2-k$ moves or fewer. If $N$ is not triangular, no stable configuration exists and a limit cycle is reached. ==Random Bulgarian solitaire== In ''random Bulgarian solitaire'' or ''stochastic Bulgarian solitaire'' a pack of $N$ cards is divided into several piles. Then for each pile, either leave it intact or, with a fixed probability $p$, remove one card; collect the removed cards together to form a new pile (piles of zero size are ignored). This is a finite irreducible Markov chain. In 2004, Brazilian probabilist of Russian origin Serguei Popov showed that stochastic Bulgarian solitaire spends "most" of its time in a "roughly" triangular distribution. 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「Bulgarian solitaire」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.