Encyclopedia of distances:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2014
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783662443415 9783662443422 |
| DOI: | 10.1007/978-3-662-44342-2 |
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Record in the Search Index
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| adam_text | ENCYCLOPEDIA OF DISTANCES
/ DEZA, MICHEL MARIE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ENCYCLOPEDIA OF DISTANCES
/ DEZA, MICHEL MARIE
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Deza, Michel 1939- Deza, Elena 1961- |
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| author_sort | Deza, Michel 1939- |
| author_variant | m d md e d ed |
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| bvnumber | BV042208014 |
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| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)894699842 (DE-599)DNB105923646X |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-44342-2 |
| edition | 3. ed. |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:15:20Z |
| institution | BVB |
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| spelling | Deza, Michel 1939- Verfasser (DE-588)118064495 aut Encyclopedia of distances Michel Marie Deza ; Elena Deza 3. ed. Berlin [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Metrik Mathematik (DE-588)4193458-1 gnd rswk-swf Abstand (DE-588)4228463-6 gnd rswk-swf Electronic book text Research similarity distance metric space Abstand (DE-588)4228463-6 s Metrik Mathematik (DE-588)4193458-1 s Metrischer Raum (DE-588)4169745-5 s DE-604 Deza, Elena 1961- Verfasser (DE-588)1027553648 aut https://doi.org/10.1007/978-3-662-44342-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027646763&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027646763&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Deza, Michel 1939- Deza, Elena 1961- Encyclopedia of distances Metrischer Raum (DE-588)4169745-5 gnd Metrik Mathematik (DE-588)4193458-1 gnd Abstand (DE-588)4228463-6 gnd |
| subject_GND | (DE-588)4169745-5 (DE-588)4193458-1 (DE-588)4228463-6 |
| title | Encyclopedia of distances |
| title_auth | Encyclopedia of distances |
| title_exact_search | Encyclopedia of distances |
| title_full | Encyclopedia of distances Michel Marie Deza ; Elena Deza |
| title_fullStr | Encyclopedia of distances Michel Marie Deza ; Elena Deza |
| title_full_unstemmed | Encyclopedia of distances Michel Marie Deza ; Elena Deza |
| title_short | Encyclopedia of distances |
| title_sort | encyclopedia of distances |
| topic | Metrischer Raum (DE-588)4169745-5 gnd Metrik Mathematik (DE-588)4193458-1 gnd Abstand (DE-588)4228463-6 gnd |
| topic_facet | Metrischer Raum Metrik Mathematik Abstand |
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