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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 Perfect ruler ： ウィキペディア英語版 Perfect ruler A perfect ruler of length $n$ is a ruler with a subset of the integer markings $\backslash \backslash subset\backslash$ that appear on a regular ruler. The defining criterion of this subset is that there exists an $m$ such that any positive integer $k\backslash leq\; m$ can be expressed uniquely as a difference $k=a\_i-a\_j$ for some $i,j$. This is referred to as an $m$-perfect ruler. A 4-perfect ruler of length $7$ is given by $\backslash$. To verify this, we need to show that every number $1,2,3,4$ can be expressed as a difference of two numbers in the above set: : $1=1-0$ : $2=3-1$ : $3=3-0$ : $4=7-3$ An optimal perfect ruler is one where for a fixed value of $n$ the value of $a\_n$ is minimized. ==See also== *Golomb ruler *Sparse ruler 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「Perfect ruler」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.