Description

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 strategies.

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)

Contenu

-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.

Informations sur le produit

Titre:	Minisum Hyperspheres
Auteur:
Code EAN:	9781461429180
ISBN:	1461429188
Format:	Couverture cartonnée
nombre de pages:	124
Poids:	201g
Taille:	H235mm x B155mm x T7mm
Année:	2013
Auflage:	2011