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Minisum hyperspheres

Author: Mark-Christoph Körner
Publisher: New York : Springer, [2011]
Series: Springer optimization and its applications, v. 51.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

This book presents a self-contained introduction to the theory of minisum hyperspheres. It is the first book dedicated to this topic, and includes an overview of the theory as well problem-solving  Read more...

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Details

Document Type: Book
All Authors / Contributors: Mark-Christoph Körner
ISBN: 9781441998064 1441998063
OCLC Number: 748704781
Description: viii, 116 pages : illustrations ; 23 cm.
Contents: -Preface.- 1. Basic Concepts (Circles and Hyperspheres, Minisum Hyperspheres, Mathematical Preliminaries, Finite Dominating Sets).- 2. Euclidean Minisum Hyperspheres (Basic Assumptions, Distance, Degenerated Solutions, Existence of Optimal Solutions, Incidence Properties, Solution Approaches for the Planar Case, Concluding Remarks).- 3. Minisum Hyperspheres in Normed Spaces (Basic Assumptions, Distance, Degenerated Solutions, Existence of Minisum Hyperspheres, Incidence Properties, Polyhedral Norms in the Plane, Concluding Remarks).- 4. Minisum Circle Problem with Unequal Norms (Basic Assumptions, Distance, Properties of Minisum Circles, Polyhedral Norms, Concluding Remarks).- 5. Minisum Rectangles in a Manhattan Plane (Basic Assumptions, Notations, Point-Rectangle Distance, Restricted Problems, Unrestricted Problem, Concluding Remarks).- 6. Extensions.- Bibliiography.- Index.
Series Title: Springer optimization and its applications, v. 51.
Responsibility: Mark-Christoph Körner.
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From the reviews: "This little book is fully devoted to what is known about the following median hypersphere problem and several of its variants ... . This book will be of interest to any researcher Read more...

 
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