Articles liés à Sphere Packings, Lattices and Groups
Synopsis
The third 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.
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Sphere Packings, Lattices and Groups
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Springer New York, 2010
ISBN 10 : 1441931341
ISBN 13 : 9781441931344
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. With contributions by numerous experts|A timely and definitive book on this widely applicable subject New edition has been long awaitedsecond edition had been out of stock for some time Describes modern applications to areas such as number theory, coding th. N° de réf. du vendeur 4173592
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Sphere Packings, Lattices and Groups
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur S0-9781441931344
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Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In English. N° de réf. du vendeur ria9781441931344_new
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Sphere Packings, Lattices and Groups
Edité par
Springer New York Dez 2010, 2010
ISBN 10 : 1441931341
ISBN 13 : 9781441931344
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The third edition of this 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 examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items. 784 pp. Englisch. N° de réf. du vendeur 9781441931344
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Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9781441931344
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Sphere Packings, Lattices and Groups
impression à la demandeVendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 3rd edition. 778 pages. 9.00x6.00x1.50 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __1441931341
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Sphere Packings, Lattices and Groups
Edité par
Springer New York, Springer US Dez 2010, 2010
ISBN 10 : 1441931341
ISBN 13 : 9781441931344
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a !-dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. [Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 784 pp. Englisch. N° de réf. du vendeur 9781441931344
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Sphere Packings, Lattices and Groups
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : New. N° de réf. du vendeur 11987331-n
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Sphere Packings, Lattices and Groups
Edité par
Springer New York, Springer US, 2010
ISBN 10 : 1441931341
ISBN 13 : 9781441931344
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a !-dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. [Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16. N° de réf. du vendeur 9781441931344
Quantité disponible : 1 disponible(s)
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Sphere Packings, Lattices and Groups
Edité par
Springer-Verlag New York Inc., 2010
ISBN 10 : 1441931341
ISBN 13 : 9781441931344
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. New copy - Usually dispatched within 4 working days. 1109. N° de réf. du vendeur B9781441931344
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