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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 Boustrophedon transform ： ウィキペディア英語版 Boustrophedon transform In mathematics, the boustrophedon transform is a procedure which maps one sequence to another. The transformed sequence is computed by filling a triangular array in boustrophedon (zig-zag) manner. ==Definition== Given a sequence $(a\_0,\; a\_1,\; a\_2,\; \backslash ldots)$, the boustrophedon transform yields another sequence, $(b\_0,\; b\_1,\; b\_2,\; \backslash ldots)$, which is constructed by filling up a triangle as pictured on the right. Number the rows in the triangle starting from 0, and fill the rows consecutively. Let ''k'' denote the number of the row currently being filled. If ''k'' is odd, then put the number $a\_k$ on the right end of the row and fill the row from the right to the left, with every entry being the sum of the number to the right and the number to the upper right. If ''k'' is even, then put the number $a\_k$ on the left end and fill the row from the left to the right, with every entry being the sum of the number to the left and the number to the upper left. Defining $b\_0\; =\; a\_0$, the numbers $b\_k\; |\; k\; >\; 0$ forming the transformed sequence can then be found on the left end of odd-numbered rows and on the right end of even-numbered rows, that is, opposite to the numbers $a\_k$. 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「Boustrophedon transform」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.