New Approaches to Circle Packing in a Square (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
238
Utgivningsdatum
2007-02-01
Upplaga
2007
Förlag
Springer-Verlag New York Inc.
Medarbetare
Garcia, Inmaculada (förf)
Illustratör/Fotograf
34 tabs 84 illus
Illustrationer
34 Tables, black and white; XIV, 238 p. With online files/update.
Dimensioner
242 x 158 x 20 mm
Vikt
568 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780387456737
New Approaches to Circle Packing in a Square (inbunden)

New Approaches to Circle Packing in a Square

With Program Codes

Inbunden Engelska, 2007-02-01
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This book presents an overview of recent results achieved in solving the circle packing problem. It provides the reader with a comprehensive view of both theoretical and computational achievements. Illustrations of problem solutions are shown, elegantly displaying the results obtained.
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Recensioner i media

From the reviews: "The book under review gives a detailed survey on the achievements of the last years on the problem of finding densest packings ... . The text is written in a very comprehensive and informative way, and all the numerical results on densities are impressively illustrated by many figures of 'optimal' packings. ... will serve as an excellent source for everybody, expert on non-expert, who is interested in circle packing or, who is just interested in the hardness of an appealing problem in discrete geometry." (Martin Henk, Zentralblatt MATH, Vol. 1128 (6), 2008)

Innehållsförteckning

and Problem History.- Problem Definitions and Formulations.- Bounds for the Optimum Values.- Approximate Circle Packings Using Optimization Methods.- Other Methods for Finding Approximate Circle Packings.- Interval Methods for Validating Optimal Solutions.- The First Fully Interval-based Optimization Method.- The Improved Version of the Interval Optimization Method.- Interval Methods for Verifying Structural Optimality.- Repeated Patterns in Circle Packings.- Minimal Polynomials of Point Arrangements.- About the Codes Used.