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Titlebook: Sphere Packings, Lattices and Groups; J. H. Conway,N. J. A. Sloane Book 19932nd edition Springer Science+Business Media New York 1993 Dime

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书目名称Sphere Packings, Lattices and Groups
编辑J. H. Conway,N. J. A. Sloane
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Sphere Packings, Lattices and Groups;  J. H. Conway,N. J. A. Sloane Book 19932nd edition Springer Science+Business Media New York 1993 Dime
描述The second edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the first edition, the second edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, and dual theory and superstring theory in physics. Results as of 1992 have been added to the text, and the extensive bibliography - itself a contribution to the field - is supplemented with approximately 450 new entries.
出版日期Book 19932nd edition
关键词Dimension; Lattice; Lie algebra; algebra; automorphism; classification; coding; coding theory; data compress
版次2
doihttps://doi.org/10.1007/978-1-4757-2249-9
isbn_ebook978-1-4757-2249-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Science+Business Media New York 1993
The information of publication is updating

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A. M. Odlyzko,N. J. A. Sloaneents theoretical development, relying on up-to-date nonsmoot.Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions. provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional
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E. Bannai,N. J. A. Sloaneents theoretical development, relying on up-to-date nonsmoot.Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions. provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional
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J. H. Conway,N. J. A. Sloanee governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems—those with variable structure and impact—by the involvement of nonsmooth Lyapunov functions. The general theoretica
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J. H. Conway,A. M. Odlyzko,N. J. A. Sloanesues connected with control and modelling. It covers Lagrangian and Newton–Euler systems, detailing mathematical tools such as convex analysis and complementarity theory. The ways in which nonsmooth mechanics influence and are influenced by well-posedness analysis, numerical analysis and simulation,
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