The Resource Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)

Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)

Label
Encyclopedia of Distances
Title
Encyclopedia of Distances
Statement of responsibility
by Michel Marie Deza, Elena Deza
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 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
http://library.link/vocab/creatorName
Deza, Michel Marie
Dewey number
  • 004
  • 510
  • 514
  • 516
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • VupHHGfdB7I
  • O5J3n8u0gjk
Language note
English
LC call number
QA440-699
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Deza, Elena.
http://library.link/vocab/subjectName
  • Geometry
  • Global differential geometry
  • Topology
  • Computer science
  • Visualization
  • Engineering mathematics
  • Geometry
  • Differential Geometry
  • Topology
  • Computational Mathematics and Numerical Analysis
  • Visualization
  • Mathematical and Computational Engineering
Label
Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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, Polynomials 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
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (731 p.)
Form of item
online
Isbn
9783662443422
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-662-44342-2
Specific material designation
remote
System control number
  • (CKB)3710000000261930
  • (EBL)1966111
  • (OCoLC)892967563
  • (SSID)ssj0001372603
  • (PQKBManifestationID)11978684
  • (PQKBTitleCode)TC0001372603
  • (PQKBWorkID)11310798
  • (PQKB)10770798
  • (MiAaPQ)EBC1966111
  • (DE-He213)978-3-662-44342-2
  • (EXLCZ)993710000000261930
Label
Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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, Polynomials 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
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (731 p.)
Form of item
online
Isbn
9783662443422
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-662-44342-2
Specific material designation
remote
System control number
  • (CKB)3710000000261930
  • (EBL)1966111
  • (OCoLC)892967563
  • (SSID)ssj0001372603
  • (PQKBManifestationID)11978684
  • (PQKBTitleCode)TC0001372603
  • (PQKBWorkID)11310798
  • (PQKB)10770798
  • (MiAaPQ)EBC1966111
  • (DE-He213)978-3-662-44342-2
  • (EXLCZ)993710000000261930

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