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This article is cited in 8 scientific papers (total in 8 papers)
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Three synthetical plots of analysis and geometry
S. S. Kutateladze Sobolev Institute of Mathematics, 4 Koptyug Av., 630090, Novosibirsk, Russia
Abstract:
This is a short overview of the synthetical problems of analysis and geometry which are connected with multiple objective problems of convex geometry, the theory of linear inequalities, and Boolean valued analysis. Some attention is paid to the related historical-philosophical aspects of the problems that were inspired by A. D. Alexandrov, L. V. Kantorovich, and S. L. Sobolev.
Keywords:
multiple objective isoperimetric-type problem, Urysohn problem, Leidenfrost effect, Farkas lemma, polyhedral Lagrange principle.
Received September 22, 2015, published September 24, 2015
Citation:
S. S. Kutateladze, “Three synthetical plots of analysis and geometry”, Sib. Èlektron. Mat. Izv., 12 (2015), 679–687
Linking options:
https://www.mathnet.ru/eng/semr616 https://www.mathnet.ru/eng/semr/v12/p679
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Abstract page: | 263 | Full-text PDF : | 104 | References: | 41 |
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