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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 Parry-Daniels map ： ウィキペディア英語版 Parry–Daniels map In mathematics, the Parry–Daniels map is a function studied in the context of dynamical systems. Typical questions concern the existence of an invariant or ergodic measure for the map. It is named after the English mathematician Bill Parry and the British statistician Henry Daniels, who independently studied the map in papers published in 1962. ==Definition== Given an integer ''n'' ≥ 1, let Σ denote the ''n''-dimensional simplex in R''n''+1 given by :$\backslash Sigma\; :=\; \backslash \; |\; 0\; \backslash leq\; x\_i\; \backslash leq\; 1\; \backslash mbox\; i\; \backslash mbox\; x\_0\; +\; x\_1\; +\; \backslash dots\; +\; x\_n\; =\; 1\; \backslash \}.$ Let ''π'' be a permutation such that :$x\_\; \backslash leq\; x\_\; \backslash leq\; \backslash dots\; \backslash leq\; x\_.$ Then the Parry–Daniels map : $T\_\; :\; \backslash Sigma\; \backslash to\; \backslash Sigma$ is defined by :$T\_\backslash pi\; (x\_0,\; x\_1,\; \backslash dots,\; x\_n)\; :=\; \backslash left(\; \backslash frac\}\; ,\; \backslash frac\}\; -\; x\_\}\{x\_\{\backslash pi\; (n)\}\}\; \backslash right).$ 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「Parry–Daniels map」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.