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| Document Type: | Book |
|---|---|
| All Authors / Contributors: |
Mark-Christoph Körner |
| ISBN: | 9781441998064 1441998063 |
| OCLC Number: | 748704781 |
| Description: | vii, 116 p. : ill. ; 24 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. |
| More information: |
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Publisher Synopsis
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 interested in continuous location theory and/or distance geometry." (Frank Plastria, Mathematical Reviews, Issue 2012 f) Read more...
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