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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 Jung's theorem ： ウィキペディア英語版 Jung's theorem In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. == Statement == Consider a compact set :$K\backslash subset\; \backslash mathbb^n$ and let :$d\; =\; \backslash max\backslash nolimits\_\; \backslash |\; p\; -\; q\; \backslash |\_2$ be the diameter of ''K'', that is, the largest Euclidean distance between any two of its points. Jung's theorem states that there exists a closed ball with radius :$r\; \backslash leq\; d\; \backslash sqrt\}$ that contains ''K''. The boundary case of equality is attained by the regular ''n''-simplex. 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「Jung's theorem」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.