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Titlebook: Encyclopedia of Distances; Michel Marie Deza,Elena Deza Book 20143rd edition Springer-Verlag Berlin Heidelberg 2014 distance.metric space.

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书目名称Encyclopedia of Distances
编辑Michel Marie Deza,Elena Deza
视频video
概述Offers a unique overview of the theme "distance" in mathematics and science.Done in a cross-disciplinary fashion.Includes supplementary material:
图书封面Titlebook: Encyclopedia of Distances;  Michel Marie Deza,Elena Deza Book 20143rd edition Springer-Verlag Berlin Heidelberg 2014 distance.metric space.
描述.This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedral metric space, nearness matrix problems, distances between belief assignments, distance-related animal settings, diamond-cutting distances, natural units of length, Heidegger’s de-severance distance, and brain distances. .The publication of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval..Leaving aside the practical questions that arise during the selection of a ‘good’ distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances..As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core
出版日期Book 20143rd edition
关键词distance; metric space; similarity
版次3
doihttps://doi.org/10.1007/978-3-662-44342-2
isbn_softcover978-3-662-51868-7
isbn_ebook978-3-662-44342-2
copyrightSpringer-Verlag Berlin Heidelberg 2014
The information of publication is updating

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书目名称Encyclopedia of Distances被引频次学科排名




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Book 20143rd edition this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances..As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core
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Producing China in Southeast AsiaIn this core Chapter, the main metrics and metric-related notions are given.
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Roope Takala,Turkka Keinonen,Jussi MantereThere are many ways to obtain new distances (metrics) from given distances (metrics). Metric transforms give new distances as a functions of given metrics (or given distances) on the same set .. A metric so obtained is called a .. We give some important examples of transform metrics in Sect. 4.1.
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https://doi.org/10.1007/978-3-540-71449-1In this chapter we consider a special class of metrics defined on some ., as the norm of the difference between two given elements. This structure can be a group (with a .), a vector space (with a . or, simply, a .), a vector lattice (with a .), a field (with a .), etc.
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