<図書>
Encyclopedia of distances
責任表示 | Michel Marie Deza, Elena Deza |
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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.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6993704 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | DEZA/10/3 | 2009 |
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023212009002992 | CD付 |
書誌詳細
一般注記 | Includes bibliographical references (p. 563-569) and index |
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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 |