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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 Micha Perles ： ウィキペディア英語版 Micha Perles Micha Asher Perles is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University.〔(Faculty profile ), Hebrew University, retrieved 2013-12-12.〕 He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum. His contributions include: *The Perles configuration, a set of nine points in the Euclidean plane whose collinearities can be realized only by using irrational numbers as coordinates. Perles used this configuration to prove the existence of irrational polytopes in higher dimensions.〔.〕 *The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah.〔.〕〔.〕 *The pumping lemma for context-free languages, a widely used method for proving that a language is not context-free that Perles discovered with Yehoshua Bar-Hillel and Eli Shamir.〔.〕 Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial.〔 ==External links== * (Micha Asher Perles' home page ) * (Micha A. Perles' publication list ) at DBLP * (Micha A. Perles' online publications ) at arXiv 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「Micha Perles」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.