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Titlebook: Encyclopedia of Distances; Michel Marie Deza,Elena Deza Book 20132nd edition Springer-Verlag Berlin Heidelberg 2013 distance.metric space.

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发表于 2025-3-21 19:43:19 | 显示全部楼层 |阅读模式
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 20132nd edition Springer-Verlag Berlin Heidelberg 2013 distance.metric space.
描述.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 developing field now regarded as an essential tool in many areas of pure and applied mathematics.. .Its publication 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.. .The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research..
出版日期Book 20132nd edition
关键词distance; metric space; similarity
版次2
doihttps://doi.org/10.1007/978-3-642-30958-8
isbn_ebook978-3-642-30958-8
copyrightSpringer-Verlag Berlin Heidelberg 2013
The information of publication is updating

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发表于 2025-3-22 00:07:01 | 显示全部楼层
Book 20132nd editionly navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research..
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Conclusions and Future Directions,, i.e., collections of positive-definite symmetric bilinear forms ((. .)) on their tangent spaces which vary smoothly from point to point. The geometry of such (.) manifolds is based on the . . .=∑. . .  . .  . .. This gives, in particular, local notions of angle, length of curve, and volume.
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https://doi.org/10.1007/b138603l finite strings over the alphabet . is denoted by .. Examples of real world applications, using distances and similarities of string pairs, are Speech Recognition, Bioinformatics, Information Retrieval, Machine Translation, Lexicography, Dialectology.
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Production Management of Chemical IndustriesLet . be a set. A function .:.×.→ℝ is called a . (or .) on . if, for all .,.∈., there holds:
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Production Planning and Information SystemsSome immediate generalizations of the notion of metric, for example, ., ., ., were defined in Chap. .. Here we give some generalizations in the direction of Topology, Probability, Algebra, etc.
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https://doi.org/10.1007/978-3-642-58614-9In 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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