The Resource Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Resource Information
The item Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This 4th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. New topics in the purely mathematical sections include e.g. the Vitanyi multisetmetric, algebraic pointconic distance, triangular ratio metric, RossiHamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. 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 crossreferencing with easily navigable boldfaced 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 distancerelated notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that nonspecialists 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.
 Language
 eng
 Edition
 4th ed. 2016.
 Extent
 1 online resource (XXII, 756 pages)
 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. ComputerRelated 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. RealWorld Distances: 27 Length Measures and Scales
 28 Distances in Applied Social Sciences
 29 Other Distances
 Isbn
 9783662528440
 Label
 Encyclopedia of Distances
 Title
 Encyclopedia of Distances
 Statement of responsibility
 by Michel Marie Deza, Elena Deza
 Language
 eng
 Summary
 This 4th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. New topics in the purely mathematical sections include e.g. the Vitanyi multisetmetric, algebraic pointconic distance, triangular ratio metric, RossiHamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. 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 crossreferencing with easily navigable boldfaced 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 distancerelated notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that nonspecialists 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Deza, Michel Marie
 Dewey number
 223
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Deza, Elena.
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Computer mathematics
 Differential geometry
 Topology
 Applied mathematics
 Engineering mathematics
 Label
 Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 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. ComputerRelated 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. RealWorld Distances: 27 Length Measures and Scales  28 Distances in Applied Social Sciences  29 Other Distances
 Control code
 9783662528440
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 1 online resource (XXII, 756 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783662528440
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783662528440
 Other physical details
 2 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)957123270
 Label
 Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 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. ComputerRelated 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. RealWorld Distances: 27 Length Measures and Scales  28 Distances in Applied Social Sciences  29 Other Distances
 Control code
 9783662528440
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 1 online resource (XXII, 756 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783662528440
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783662528440
 Other physical details
 2 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)957123270
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/EncyclopediaofDistancesbyMichelMarieDeza/i7rmbhVFS1c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/EncyclopediaofDistancesbyMichelMarieDeza/i7rmbhVFS1c/">Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/EncyclopediaofDistancesbyMichelMarieDeza/i7rmbhVFS1c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/EncyclopediaofDistancesbyMichelMarieDeza/i7rmbhVFS1c/">Encyclopedia of Distances, by Michel Marie Deza, Elena Deza, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>