Sphere Packings
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Sphere Packings Lattices And Groups
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Author : J.H. Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Sphere Packings Lattices And Groups written by J.H. Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
Sphere Packings
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Author : Chuanming Zong
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-20
Sphere Packings written by Chuanming Zong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-20 with Mathematics categories.
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.
Sphere Packings Lattices And Groups
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Author : John Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Sphere Packings Lattices And Groups written by John Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
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.
Dense Sphere Packings
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Author : Thomas Hales
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-06
Dense Sphere Packings written by Thomas Hales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-06 with Mathematics categories.
The definitive account of the recent computer solution of the oldest problem in discrete geometry.
Sphere Packings Lattices And Groups
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Author : John Horton Conway
language : en
Publisher:
Release Date : 1998
Sphere Packings Lattices And Groups written by John Horton Conway and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Combinatorial packing and covering categories.
Sphere Packings Lattices And Groups
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Author : John H. Conway
language : en
Publisher: Springer
Release Date : 2013-02-14
Sphere Packings Lattices And Groups written by John H. Conway and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Mathematics categories.
The main themes. This book is mainly concerned with the problem of packing spheres in Euclidean space of dimensions 1,2,3,4,5, . . . . Given a large number of equal spheres, what is the most efficient (or densest) way to pack them together? We also study several closely related problems: the kissing number problem, which asks how many spheres can be arranged so that they all touch one central sphere of the same size; the covering problem, which asks for the least dense way to cover n-dimensional space with equal overlapping spheres; and the quantizing problem, important for applications to analog-to-digital conversion (or data compression), which asks how to place points in space so that the average second moment of their Voronoi cells is as small as possible. Attacks on these problems usually arrange the spheres so their centers form a lattice. Lattices are described by quadratic forms, and we study the classification of quadratic forms. Most of the book is devoted to these five problems. The miraculous enters: the E 8 and Leech lattices. When we investigate those problems, some fantastic things happen! There are two sphere packings, one in eight dimensions, the E 8 lattice, and one in twenty-four dimensions, the Leech lattice A , which are unexpectedly good and very 24 symmetrical packings, and have a number of remarkable and mysterious properties, not all of which are completely understood even today.
Sphere Packings V
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Author : Samuel L. P. Ferguson
language : en
Publisher:
Release Date : 1997
Sphere Packings V written by Samuel L. P. Ferguson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Sphere packings categories.
Sphere Packings Lattices And Groups
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Author : J. H. Conway
language : en
Publisher:
Release Date : 2014-01-15
Sphere Packings Lattices And Groups written by J. H. Conway and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
From Error Correcting Codes Through Sphere Packings To Simple Groups
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Author : Thomas M. Thompson (matematyka)
language : en
Publisher:
Release Date : 1983
From Error Correcting Codes Through Sphere Packings To Simple Groups written by Thomas M. Thompson (matematyka) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Calculations Of Hard Sphere Packings In Large Cylinders
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Author : Brian E. Clancy
language : en
Publisher:
Release Date : 1966
Calculations Of Hard Sphere Packings In Large Cylinders written by Brian E. Clancy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.