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<図書>
Encyclopedia of distances

責任表示 Michel Marie Deza, Elena Deza
データ種別 図書
出版情報 Berlin : Springer , c2009
本文言語 英語
大きさ xiv, 590 p. ; 24 cm. + 1 CD-ROM
概要 "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 ...s 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. A number of fascinating curiosities appear in this 'Who's Who' of distances. Besides distances themselves, the authors have collected many distance-related notions and paradigms, giving applied mathematicians in other sectors easy access to those research tools that are arcane for non-specialists. What's more, they come in ready-to-use fashion. This, as well as the appearance of some distances in different contexts, will be a stimulus to new research."--Publisher's description.続きを見る
目次 General definitions
Topological spaces
Generalizations of metric spaces
Metric transforms
Metrics on normed structures
Distances in geometry
Riemannian and Hermitian metrics
Distances on surfaces and knots
Distances on convex bodies, cones, and simplicial complexes
Distances in algebra
Distances on strings and permutations
Distances on numbers, polynomials, and matrices
Distances in functional analysis
Distances in probability theory
Distances in graph theory
Distances in coding theory
Distances and similarities in data analysis
Distances in mathematical engineering
Distances on real and digital planes
Voronoi diagram distances
Image and audio distances
Distances in internet and similar networks
Distances in biology
Distances in physics and chemistry
Distances in geography, geophysics, and astronomy
Distances in cosmology and theory of relativity
Length measures and scales
Distances in applied social sciences
Other distances.
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電子版へのリンク

所蔵情報



理系図3F 数理独自 DEZA/10/3 2009
023212009002992 CD付

書誌詳細

一般注記 Includes bibliographical references (p. 563-569) and index
著者標目 Deza, M., 1934-
Deza, Elena
書誌ID 1001239522
ISBN 9783642002335
NCID BA90519002
巻冊次 ISBN:9783642002335
登録日 2009.09.18
更新日 2017.02.18

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