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121026s2013 gw | s |||| 0|eng d |
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|a 9783642309588
|9 978-3-642-30958-8
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|a 10.1007/978-3-642-30958-8
|2 doi
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|a QA440-699
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|a MAT012000
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|a 516
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|a Deza, Michel Marie.
|e author.
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|a Encyclopedia of Distances
|c by Michel Marie Deza, Elena Deza.
|h [electronic resource] /
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|a 2nd ed. 2013.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2013.
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|a XVIII, 650 p. 2 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a 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 Knots -- 9 Distances on Convex Bodies, Cones and Simplicial Complexes -- Part III. Distances in Classical Mathematics -- 10 Distances in Algebra -- 11 Distances on Strings and Permutations -- 12 Distances on Numbers, Polynominals and Matrices -- 13 Distances in Functional Analysis -- 14 Distances in Probability Theory -- Part IV. Distances in Applied Mathematics -- 15 Distances in Graph theory -- 16 Distances in Coding Theory -- 17 Distances and Similarities in Data Analysis -- 18 Distances in Systems and Mathematical Engineering -- Part V. Computer-Related Distances -- 19 Distances on Real and Digital Planes -- 20 Voronoi Diagram Distances -- 21 Image and Audio Distances -- 22 Distances in Networks -- Part VI. Distances in Natural Sciences -- 23 Distances in Biology -- 24 Distances in Physics and Chemistry -- 25 Distances in Earth Science and Astronomy -- 26 Distances in Cosmology and Theory of Relativity -- Part VII. Real-World Distances -- 27 Length Measures and Scales -- 28 Distances in Applied Social Sciences -- 29 Other Distances.
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|a 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. � 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 entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who s Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh research.
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|a Mathematics.
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|a Computer science
|x Mathematics.
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|a Visualization.
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|a Geometry.
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|a Global differential geometry.
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|a Topology.
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|a Engineering mathematics.
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|a Mathematics.
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|a Geometry.
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|a Differential Geometry.
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|a Topology.
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|a Computational Mathematics and Numerical Analysis.
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|a Visualization.
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| 650 |
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|a Appl.Mathematics/Computational Methods of Engineering.
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| 700 |
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|a Deza, Elena.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783642309571
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-30958-8
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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