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
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 as 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
http://library.link/vocab/creatorName
Deza, Michel Marie
Dewey number
519
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • VupHHGfdB7I
  • O5J3n8u0gjk
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Deza, Elena.
http://library.link/vocab/subjectName
  • Global differential geometry
  • Topology
  • Geometry
  • Computer science
  • Visualization
  • Discrete Mathematics
  • Differential Geometry
  • Topology
  • Geometry
  • Computational Mathematics and Numerical Analysis
  • Visualization
Label
Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
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, 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 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 Internet and Similar Networks -- Part VI. Distances in Natural Sciences -- 23 Distances in Biology -- 24 Distances in Physics and Chemistry -- 25 Distances in Geography, Geophysics 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
1st ed. 2009.
Extent
1 online resource (583 p.)
Form of item
online
Isbn
9783642002342
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-00234-2
Specific material designation
remote
System control number
  • (CKB)1000000000754127
  • (EBL)450545
  • (OCoLC)460678024
  • (SSID)ssj0000146650
  • (PQKBManifestationID)11160397
  • (PQKBTitleCode)TC0000146650
  • (PQKBWorkID)10186392
  • (PQKB)10860674
  • (DE-He213)978-3-642-00234-2
  • (MiAaPQ)EBC450545
  • (EXLCZ)991000000000754127
Label
Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Publication
Note
Description based upon print version of record
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, 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 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 Internet and Similar Networks -- Part VI. Distances in Natural Sciences -- 23 Distances in Biology -- 24 Distances in Physics and Chemistry -- 25 Distances in Geography, Geophysics 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
1st ed. 2009.
Extent
1 online resource (583 p.)
Form of item
online
Isbn
9783642002342
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-00234-2
Specific material designation
remote
System control number
  • (CKB)1000000000754127
  • (EBL)450545
  • (OCoLC)460678024
  • (SSID)ssj0000146650
  • (PQKBManifestationID)11160397
  • (PQKBTitleCode)TC0000146650
  • (PQKBWorkID)10186392
  • (PQKB)10860674
  • (DE-He213)978-3-642-00234-2
  • (MiAaPQ)EBC450545
  • (EXLCZ)991000000000754127

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