翻訳と辞書 Words near each other ・ Irregular matrix ・ Irregular menstruation ・ Irregular military ・ Irregular moon ・ Irregular Records ・ Irregular resolution ・ Irregular sleep–wake rhythm ・ Irregular variable ・ Irregular warfare ・ Irregular Warfare Headquarters ・ Irregular Z-buffer ・ Irregularia ・ Irregularis ・ Irregularities and exceptions in Interlingua ・ Irregularity of a surface ・ Irregularity of distributions ・ Irrel ・ Irrel (Verbandsgemeinde) ・ Irrelevant (album) ・ IRrelevant Astronomy ・ Irrelevant ideal ・ Irrelevant speech effect ・ Irreligion ・ Irreligion by country ・ Irreligion in Afghanistan ・ Irreligion in Africa ・ Irreligion in Albania ・ Irreligion in Australia ・ Irreligion in Azerbaijan ・ Irreligion in Bangladesh 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 Irregularity of distributions ： ウィキペディア英語版 Irregularity of distributions The irregularity of distributions problem, stated first by Hugo Steinhaus, is a numerical problem with a surprising result. The problem is to find ''N'' numbers, $x\_1,\backslash ldots,x\_N$, all between 0 and 1, for which the following conditions hold: * The first two numbers must be in different halves (one less than 1/2, one greater than 1/2). * The first 3 numbers must be in different thirds (one less than 1/3, one between 1/3 and 2/3, one greater than 2/3). * The first 4 numbers must be in different fourths. * The first 5 numbers must be in different fifths. * etc. Mathematically, we are looking for a sequence of real numbers :$x\_1,\backslash ldots,x\_N$ such that for every ''n'' ∈  and every ''k'' ∈  there is some ''i'' ∈  such that : == Solution == The surprising result is that there is a solution up to ''N'' = 17, but starting at ''N'' = 18 and above it is impossible. A possible solution for ''N'' ≤ 17 is shown diagrammatically on the right; numerically it is as follows: : $$ \begin x_ & = 0.029 \\ x_ & = 0.971 \\ x_ & = 0.423 \\ x_ & = 0.71 \\ x_ & = 0.27 \\ x_ & = 0.542 \\ x_ & = 0.852 \\ x_ & = 0.172 \\ x_ & = 0.62 \\ x_ & = 0.355 \\ x_ & = 0.774 \\ x_ & = 0.114 \\ x_ & = 0.485 \\ x_ & = 0.926 \\ x_ & = 0.207 \\ x_ & = 0.677 \\ x_ & = 0.297 \end In this example, considering for instance the first 5 numbers, we have : 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「Irregularity of distributions」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.