Encyclopedia of Distances
โ Scribed by Elena Deza, Michel Marie Deza (auth.)
- Publisher
- Springer Berlin Heidelberg
- Year
- 2009
- Tongue
- English
- Leaves
- 584
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These distances are particularly crucial, for example, in computational biology, image analysis, speech recognition, and information retrieval. Here, an assessment of the practical questions arising during selection of a ''good'' distance function has been left aside in favor of a comprehensive listing of the main available distances, a useful tool for the distance design community. This reader-friendly reference offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. This high-quality publication is a mix of reference resource and coffee-table book
โฆ Table of Contents
Front Matter....Pages 1-12
Encyclopedia of Distances....Pages 1-583
โฆ Subjects
Appl.Mathematics/Computational Methods of Engineering; Visualization; Computational Mathematics and Numerical Analysis; Topology; Differential Geometry; Geometry
๐ SIMILAR VOLUMES
Part I. Mathematics of Distances.- 1 General Definitions.- 2 Topological Spaces.- 3 Generalization of Metric Spaces.- 4 Metric Transforms.- 5 Metrics on Normed Structures.- Part II. Geometry and Distances.- 6 Distances in Geometry.- 7 Riemannian and Hermitian Metrics.- 8 Distances on Surfaces and K
<p>This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and applied mathematics.</p><p></p><p>The publication of this volume coincides wi
<p>This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the
<P>Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full.</P> <P>The book appears just as research intensifies into metric spaces and especially, distance design for application