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New Approaches to Circle Packing in a Square: With Program Codes

New Approaches to Circle Packing in a Square: With Program Codes

Autorzy
Wydawnictwo Springer, Berlin
Data wydania
Liczba stron 238
Forma publikacji książka w miękkiej oprawie
Język angielski
ISBN 9781489988973
Kategorie Optymalizacja
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Opis książki

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.

New Approaches to Circle Packing in a Square: With Program Codes

Spis treści

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.

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