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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 Takagi curve ： ウィキペディア英語版 Blancmange curve In mathematics, the blancmange curve is a fractal curve constructible by midpoint subdivision. It is also known as the Takagi curve, after Teiji Takagi who described it in 1901, or as the Takagi–Landsberg curve, a generalization of the curve named after Takagi and Georg Landsberg. The name ''blancmange'' comes from its resemblance to a pudding of the same name. It is a special case of the more general de Rham curve. ==Definition== The blancmange function is defined on the unit interval by :$(x)\; =\; \backslash sum\_^\backslash infty\; ,$ where $s(x)$ is the triangle wave, defined by $s(x)=\backslash min\_^\backslash infty\; w^n\; s(2^x)$ for a parameter ''w''; thus the blancmange curve is the case $w=1/2$. The value $H=-\backslash log\_2\; w$ is known as the Hurst parameter. The function can be extended to all of the real line: applying the definition given above shows that the function repeats on each unit interval. 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「Blancmange curve」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.