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Titlebook: Geometric Methods and Optimization Problems; V. Boltyanski,H. Martini,V. Soltan Book 1999 Springer Science+Business Media Dordrecht 1999 M

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书目名称Geometric Methods and Optimization Problems
编辑V. Boltyanski,H. Martini,V. Soltan
视频video
丛书名称Combinatorial Optimization
图书封面Titlebook: Geometric Methods and Optimization Problems;  V. Boltyanski,H. Martini,V. Soltan Book 1999 Springer Science+Business Media Dordrecht 1999 M
描述VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob­ vious and well-known (examples are the much discussed interplay between lin­ ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet­ ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a
出版日期Book 1999
关键词Median; Partition; calculus; computational geometry; geometry; linear optimization; optimization; combinato
版次1
doihttps://doi.org/10.1007/978-1-4615-5319-9
isbn_softcover978-1-4613-7427-5
isbn_ebook978-1-4615-5319-9Series ISSN 1388-3011
issn_series 1388-3011
copyrightSpringer Science+Business Media Dordrecht 1999
The information of publication is updating

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Minimum Convex Partitions of Polygonal Domains,be partitioned by linear cuts in the directions from .. Based on this approach, we investigate the complexity status of various partition problems, such as partitions into rectangles, trapezoids, triangles, convex polygons.
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Book 1999 problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob­ vious and well-known (examples are the much discussed interplay between lin­ ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from
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https://doi.org/10.1007/978-1-4615-5319-9Median; Partition; calculus; computational geometry; geometry; linear optimization; optimization; combinato
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https://doi.org/10.1007/978-3-642-72519-7sted in the location of an additonal point such that the sum of weighted distances to the given points is minimal. Historically correct, this is the (generalized) Fermat-Torricelli problem, and in location science it is also called the Steiner- Weber problem and the 1-median problem, respectively. I
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978-1-4613-7427-5Springer Science+Business Media Dordrecht 1999
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