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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 Interleave sequence ： ウィキペディア英語版 Interleave sequence In mathematics, an interleave sequence is obtained by merging or shuffling two sequences. Let $S$ be a set, and let $(x\_i)$ and $(y\_i)$, $i=0,1,2,...,$ be two sequences in $S.$ The interleave sequence is defined to be the sequence $x\_0,\; y\_0,\; x\_1,\; y\_1,\; \backslash dots.$ Formally, it is the sequence $(z\_i),\; i=0,1,2,...$ given by : ==Properties== * The interleave sequence $(z\_i)$ is convergent if and only if the sequences $(x\_i)$ and $(y\_i)$ are convergent and have the same limit.〔.〕 * Consider two real numbers ''a'' and ''b'' greater than zero and smaller than 1. One can interleave the sequences of digits of ''a'' and ''b'', which will determine a third number ''c'', also greater than zero and smaller than 1. In this way one obtains an injection from the square (0, 1)×(0, 1) to the interval (0, 1). Different radixes give rise to different injections; the one for the binary numbers is called the Z-order curve or Morton code.〔.〕 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「Interleave sequence」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.