Statistics in Morse theory of smo oth functions Vladimir I. Arnold Steklov Mathematical Institute, Moscow, Russia e-mail: arnold@mi.ras.ru There are exactly 17746 topologically distinct Morse functions with 4 saddles on the two dimensional sphere. This result basing on combinatorics of random graphs was obtained only two years ago within an investigation of Hilbert's 16th problem on topological classification of polynomials in real algebraic geometry. ...
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Ссылки http://pont2008.cs.msu.ru/files/en/abstracts/Arnold.pdf -- 26.1 Кб -- 07.01.2008
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Ссылки http://pont2008.cmc.msu.ru/files/en/abstracts/Arnold.pdf -- 26.1 Кб -- 07.01.2008 Похожие документы
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