Availability: Encyclopedia of distances

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Bibliographic Details
Title:	Encyclopedia of distances
From:	Michel Marie Deza ; Elena Deza
Person:	Deza, Michel 1939- Verfasser aut Deza, Elena 1961-
Main Authors:	Deza, Michel 1939- (Author), Deza, Elena 1961- (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2014
Edition:	3. ed.
Subjects:	Metrischer Raum Metrik > Mathematik Abstand Electronic book text Research similarity distance metric space
Online Access:	https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 https://doi.org/10.1007/978-3-662-44342-2 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 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
Physical Description:	1 Online-Ressource
ISBN:	9783662443415 9783662443422
DOI:	10.1007/978-3-662-44342-2

Staff View

MARC


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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.
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author	Deza, Michel 1939- Deza, Elena 1961-
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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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work_keys_str_mv	AT dezamichel encyclopediaofdistances AT dezaelena encyclopediaofdistances

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