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

Foam-Cells

Coverings, Lattices and Quantizers,orms are really the same, and explain the connections with number theory. One of the central issues is the classification of integral quadratic forms or lattices. The last section describes the problem of designing good quantizers or analog-to-digital converters. For each problem we summarize what is presently known about its solution.

間接

艦旗

成份

Evolve

Book 19932nd editionersion 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.

國家明智

0072-7830 arge 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 de

animated

Sphere Packings and Kissing Numbers,ean space and of packing points on the surface of a sphere. The kissing number problem is an important special case of the latter, and asks how many spheres can just touch another sphere of the same size. We summarize what is known about these topics and also introduce terminology that will be used

Addictive

Coverings, Lattices and Quantizers,e by overlapping spheres, a kind of dual to the packing problem. Then we introduce the language of quadratic forms, show that lattices and quadratic forms are really the same, and explain the connections with number theory. One of the central issues is the classification of integral quadratic forms

dura-mater

Codes, Designs and Groups,data transmission or storage systems. The remaining sections are devoted to topics that, although not our primary concern in this book, are always in our minds: error-correcting codes, Steiner systems, .-designs and finite groups.

棲息地

Certain Important Lattices and Their Properties,eter-Todd lattice .., the Barnes-Wall lattice Λ., the Leech lattice Λ., and their duals. Among other things we give their minimal vectors, densities, covering radii, glue vectors, automorphism groups, expressions for their theta series, and tables of the numbers of points in the first fifty shells.