The modern algebra of information retrieval:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
Schriftenreihe: | The information retrieval series
24 |
Schlagworte: | |
Online-Zugang: | The Modern Algebra of Information Retrieval Inhaltsverzeichnis |
Beschreibung: | XIV, 327 S. graph. Darst. |
ISBN: | 9783540776581 3540776583 9783540776598 |
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adam_text | CONTENTS 1 INTRODUCTION 1 1.1 INFORMATION RETRIEVAL 2 1.1.1 BRIEF
HISTORY OF INFORMATION RETRIEVAL 2 1.1.2 DEFINITION OF INFORMATION
RETRIEVAL 7 1.2 RETRIEVAL METHODS 11 1.3 MODERN ALGEBRA 13 1.3.1
EQUATIONS 13 1.3.2 SOLVING BY RADICALS 14 1.3.3 BIRTH OF MODERN ALGEBRA
16 1.3.4 MODERN ALGEBRA 18 1.4 LATTICE 19 1.5 IMPORTANCE OF LATTICES 21
1.6 LATTICES IN INFORMATION RETRIEVAL 22 1.6.1 RETRIEVAL SYSTEMS 22
1.6.2 BOOLEAN RETRIEVAL 23 1.6.3 VECTOR SPACE RETRIEVAL 23 1.6.4
FUZZY-ALGEBRA-BASED RETRIEVAL METHODS 24 1.6.5 PROBABILISTIC RETRIEVAL
25 1.6.6 WEB RETRIEVAL AND RANKING 25 1.7 EXERCISES AND PROBLEMS 26 2
MATHEMATICS BASICS 27 2.1 ELEMENTS OF MATHEMATICAL LOGIC 28 2.1.1
PROPOSITION 28 2.1.2 NEGATION 29 2.1.3 CONJUNCTION 29 2.1.4 DISJUNCTION
30 2.1.5 IMPLICATION 30 2.1.6 EQUIVALENCE 31 2.2 ELEMENTS OF SET THEORY
32 2.2.1 SET 32 2.2.2 SUBSET 33 2.2.3 EQUALITY OF SETS 34 GESCANNT DURCH
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989835170 DIGITALISIERT
DURCH X CONTENTS 2.2.4 SET UNION 34 2.2.5 SET INTERSECTION 35 2.2.6 SET
DIFFERENCE 35 2.2.7 CARTESIAN PRODUCT 36 2.2.8 SET COMPLEMENT 37 2.2.9
POWERSET 37 2.2.10 CARDINALITY OF SET 37 2.2.11 PROPERTIES OF SET
OPERATIONS 38 2.3 ELEMENTS OF RELATIONS THEORY 38 2.3.1 BINARY RELATIONS
39 2.3.2 FUNCTION 40 2.3.3 PREDICATE 41 2.3.4 EQUIVALENCE RELATION 41
2.3.5 ORDERING RELATION 42 2.3.6 PARTIALLY ORDERED SET 42 2.3.7
PARTITION 42 2.4 EXERCISES AND PROBLEMS 43 2.5 BIBLIOGRAPHY 44 ELEMENTS
OF LATTICE THEORY 45 3.1 LATTICE 46 3.2 LATTICE AND POSET 47 3.3 DUALITY
48 3.4 HASSE DIAGRAM 48 3.5 COMPLETE, ATOMIC LATTICE 50 3.6 MODULAR
LATTICE 51 3.7 SUBLATTICE 53 3.8 DISTRIBUTIVE LATTICE 53 3.9
COMPLEMENTED, ORTHOMODULAR LATTICE 56 3.10 BOOLEAN ALGEBRA 59 3.11
IMPORTANT LATTICES 59 3.11.1 POWERSET LATTICE 60 3.11.2 LATTICE OF
LOGICAL PROPOSITIONS 60 3.11.3 LATTICE OF LOGICAL PREDICATES 60 3.11.4
LATTICE OF LOGICAL IMPLICATIONS 61 3.11.5 LATTICE TYPES 61 3.12
EXERCISES AND PROBLEMS 62 3.13 BIBLIOGRAPHY 64 * * 8.7 EXERCISES 177 XII
CONTENTS BOOLEAN RETRIEVAL 125 6.1 BOOLEAN RETRIEVAL METHOD 126 6.2
TECHNOLOGY OF BOOLEAN RETRIEVAL 128 6.3 LATTICE-BASED BOOLEAN RETRIEVAL
129 6.4 EXERCISES AND PROBLEMS 132 LATTICES OF SUBSPACES AND PROJECTORS
135 7.1 METRIC SPACE 136 7.2 COMPLETE METRIC SPACE 137 7.3 LINEAR SPACE
139 7.4 SUBSPACE OF LINEAR SPACE 141 7.5 LINEAR OPERATOR 142 7.6 BANACH
SPACE 143 7.7 HUBERT SPACE 145 7.8 EUCLIDEAN SPACE 146 7.9 PROJECTION
THEOREM 147 7.10PROJECTOR 149 7.11 BASIS OF SUBSPACE 151 7.12 LATTICE OF
SUBSPACES 152 7.13 EXERCISES AND PROBLEMS 153 7.14 BIBLIOGRAPHY 154
VECTOR SPACE RETRIEVAL 157 8.1 INTRODUCTION 158 8.2 LATTICES IN VECTOR
SPACE RETRIEVAL 159 8.2.1 VECTOR SPACE RETRIEVAL 159 8.2.2 TECHNOLOGY OF
VECTOR SPACE RETRIEVAL 163 8.3 CALCULATION OF MEANING USING THE HUBERT
LATTICE 165 8.3.1 QUERIES WITH NEGATION 165 8.3.2 QUERIES WITH
DISJUNCTION 166 8.4 COMPATIBILITY OF RELEVANCE ASSESSMENTS 167 8.5
VECTOR SPACE RETRIEVAL: LATTICE-LATTICE MAPPING 168 8.6 DISCUSSION 173
8.6.1 QUERY LATTICE AND FREE WILL 173 8.6.2 VECTOR SPACE RETRIEVAL? 173
8.6.3 VECTOR SPACE RETRIEVAL AND QUANTUM MECHANICS 174 * INDEX 321 XIV
CONTENTS 11.3 THE PAGERANK METHOD 249 11.4 THE HITS METHOD 255 11.4.1
APPLICATION OF THE HITS METHOD IN WEB RETRIEVAL 257 11.4.2 LATENT
SEMANTIC INDEXING AND HITS 259 11.5 THE SALSA METHOD 260 11.6 THE
ASSOCIATIVE INTERACTION METHOD 263 11.6.1 ARTIFICIAL NEURAL NETWORKS 263
11.6.2 ASSOCIATIVE INTERACTION METHOD 266 11.6.3 APPLICATION OF THE
ASSOCIATIVE INTERACTION METHOD IN WEB RETRIEVAL 270 11.7 COMBINED
METHODS 270 11.7.1 SIMILARITY MERGE 271 11.7.2 BELIEF NETWORK 272 11.7.3
INFERENCE NETWORK 274 11.7.4 AGGREGATED METHOD 274 11.8 LATTICE-BASED
VIEW OF WEB RANKING 282 11.8.1 WEB LATTICE 282 11.8.2 CHAIN 283 11.8.3
RANKING 284 11.8.4 GLOBAL RANKING 284 11.8.5 STRUCTURE-BASED RANKING 288
11.9 P2P RETRIEVAL 292 11.9.1 P2P NETWORK 292 11.9.2 INFORMATION
RETRIEVAL 293 11.9.3 LATTICE-BASED INDEXING 296 11.10 EXERCISES AND
PROBLEMS 298 SOLUTIONS TO EXERCISES AND PROBLEMS 301 REFERENCE 307
|
adam_txt |
CONTENTS 1 INTRODUCTION 1 1.1 INFORMATION RETRIEVAL 2 1.1.1 BRIEF
HISTORY OF INFORMATION RETRIEVAL 2 1.1.2 "DEFINITION" OF INFORMATION
RETRIEVAL 7 1.2 RETRIEVAL METHODS 11 1.3 MODERN ALGEBRA 13 1.3.1
EQUATIONS 13 1.3.2 SOLVING BY RADICALS 14 1.3.3 BIRTH OF MODERN ALGEBRA
16 1.3.4 MODERN ALGEBRA 18 1.4 LATTICE 19 1.5 IMPORTANCE OF LATTICES 21
1.6 LATTICES IN INFORMATION RETRIEVAL 22 1.6.1 RETRIEVAL SYSTEMS 22
1.6.2 BOOLEAN RETRIEVAL 23 1.6.3 VECTOR SPACE RETRIEVAL 23 1.6.4
FUZZY-ALGEBRA-BASED RETRIEVAL METHODS 24 1.6.5 PROBABILISTIC RETRIEVAL
25 1.6.6 WEB RETRIEVAL AND RANKING 25 1.7 EXERCISES AND PROBLEMS 26 2
MATHEMATICS BASICS 27 2.1 ELEMENTS OF MATHEMATICAL LOGIC 28 2.1.1
PROPOSITION 28 2.1.2 NEGATION 29 2.1.3 CONJUNCTION 29 2.1.4 DISJUNCTION
30 2.1.5 IMPLICATION 30 2.1.6 EQUIVALENCE 31 2.2 ELEMENTS OF SET THEORY
32 2.2.1 SET 32 2.2.2 SUBSET 33 2.2.3 EQUALITY OF SETS 34 GESCANNT DURCH
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989835170 DIGITALISIERT
DURCH X CONTENTS 2.2.4 SET UNION 34 2.2.5 SET INTERSECTION 35 2.2.6 SET
DIFFERENCE 35 2.2.7 CARTESIAN PRODUCT 36 2.2.8 SET COMPLEMENT 37 2.2.9
POWERSET 37 2.2.10 CARDINALITY OF SET 37 2.2.11 PROPERTIES OF SET
OPERATIONS 38 2.3 ELEMENTS OF RELATIONS THEORY 38 2.3.1 BINARY RELATIONS
39 2.3.2 FUNCTION 40 2.3.3 PREDICATE 41 2.3.4 EQUIVALENCE RELATION 41
2.3.5 ORDERING RELATION 42 2.3.6 PARTIALLY ORDERED SET 42 2.3.7
PARTITION 42 2.4 EXERCISES AND PROBLEMS 43 2.5 BIBLIOGRAPHY 44 ELEMENTS
OF LATTICE THEORY 45 3.1 LATTICE 46 3.2 LATTICE AND POSET 47 3.3 DUALITY
48 3.4 HASSE DIAGRAM 48 3.5 COMPLETE, ATOMIC LATTICE 50 3.6 MODULAR
LATTICE 51 3.7 SUBLATTICE 53 3.8 DISTRIBUTIVE LATTICE 53 3.9
COMPLEMENTED, ORTHOMODULAR LATTICE 56 3.10 BOOLEAN ALGEBRA 59 3.11
IMPORTANT LATTICES 59 3.11.1 POWERSET LATTICE 60 3.11.2 LATTICE OF
LOGICAL PROPOSITIONS 60 3.11.3 LATTICE OF LOGICAL PREDICATES 60 3.11.4
LATTICE OF LOGICAL IMPLICATIONS 61 3.11.5 LATTICE TYPES 61 3.12
EXERCISES AND PROBLEMS 62 3.13 BIBLIOGRAPHY 64 * * 8.7 EXERCISES 177 XII
CONTENTS BOOLEAN RETRIEVAL 125 6.1 BOOLEAN RETRIEVAL METHOD 126 6.2
TECHNOLOGY OF BOOLEAN RETRIEVAL 128 6.3 LATTICE-BASED BOOLEAN RETRIEVAL
129 6.4 EXERCISES AND PROBLEMS 132 LATTICES OF SUBSPACES AND PROJECTORS
135 7.1 METRIC SPACE 136 7.2 COMPLETE METRIC SPACE 137 7.3 LINEAR SPACE
139 7.4 SUBSPACE OF LINEAR SPACE 141 7.5 LINEAR OPERATOR 142 7.6 BANACH
SPACE 143 7.7 HUBERT SPACE 145 7.8 EUCLIDEAN SPACE 146 7.9 PROJECTION
THEOREM 147 7.10PROJECTOR 149 7.11 BASIS OF SUBSPACE 151 7.12 LATTICE OF
SUBSPACES 152 7.13 EXERCISES AND PROBLEMS 153 7.14 BIBLIOGRAPHY 154
VECTOR SPACE RETRIEVAL 157 8.1 INTRODUCTION 158 8.2 LATTICES IN VECTOR
SPACE RETRIEVAL 159 8.2.1 VECTOR SPACE RETRIEVAL 159 8.2.2 TECHNOLOGY OF
VECTOR SPACE RETRIEVAL 163 8.3 CALCULATION OF MEANING USING THE HUBERT
LATTICE 165 8.3.1 QUERIES WITH NEGATION 165 8.3.2 QUERIES WITH
DISJUNCTION 166 8.4 COMPATIBILITY OF RELEVANCE ASSESSMENTS 167 8.5
VECTOR SPACE RETRIEVAL: LATTICE-LATTICE MAPPING 168 8.6 DISCUSSION 173
8.6.1 QUERY LATTICE AND FREE WILL 173 8.6.2 VECTOR SPACE RETRIEVAL? 173
8.6.3 VECTOR SPACE RETRIEVAL AND QUANTUM MECHANICS 174 * INDEX 321 XIV
CONTENTS 11.3 THE PAGERANK METHOD 249 11.4 THE HITS METHOD 255 11.4.1
APPLICATION OF THE HITS METHOD IN WEB RETRIEVAL 257 11.4.2 LATENT
SEMANTIC INDEXING AND HITS 259 11.5 THE SALSA METHOD 260 11.6 THE
ASSOCIATIVE INTERACTION METHOD 263 11.6.1 ARTIFICIAL NEURAL NETWORKS 263
11.6.2 ASSOCIATIVE INTERACTION METHOD 266 11.6.3 APPLICATION OF THE
ASSOCIATIVE INTERACTION METHOD IN WEB RETRIEVAL 270 11.7 COMBINED
METHODS 270 11.7.1 SIMILARITY MERGE 271 11.7.2 BELIEF NETWORK 272 11.7.3
INFERENCE NETWORK 274 11.7.4 AGGREGATED METHOD 274 11.8 LATTICE-BASED
VIEW OF WEB RANKING 282 11.8.1 WEB LATTICE 282 11.8.2 CHAIN 283 11.8.3
RANKING 284 11.8.4 GLOBAL RANKING 284 11.8.5 STRUCTURE-BASED RANKING 288
11.9 P2P RETRIEVAL 292 11.9.1 P2P NETWORK 292 11.9.2 INFORMATION
RETRIEVAL 293 11.9.3 LATTICE-BASED INDEXING 296 11.10 EXERCISES AND
PROBLEMS 298 SOLUTIONS TO EXERCISES AND PROBLEMS 301 REFERENCE 307 |
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series | The information retrieval series |
series2 | The information retrieval series |
spelling | Dominich, Sándor Verfasser aut The modern algebra of information retrieval Sándor Dominich Berlin [u.a.] Springer 2008 XIV, 327 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The information retrieval series 24 Information Retrieval (DE-588)4072803-1 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 gnd rswk-swf Information Retrieval (DE-588)4072803-1 s Verbandstheorie (DE-588)4127072-1 s DE-604 The information retrieval series 24 (DE-604)BV024629453 24 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2346633&custom_att_2=simple_viewer Verlagsdaten Springer The Modern Algebra of Information Retrieval DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016557916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Dominich, Sándor The modern algebra of information retrieval The information retrieval series Information Retrieval (DE-588)4072803-1 gnd Verbandstheorie (DE-588)4127072-1 gnd |
subject_GND | (DE-588)4072803-1 (DE-588)4127072-1 |
title | The modern algebra of information retrieval |
title_auth | The modern algebra of information retrieval |
title_exact_search | The modern algebra of information retrieval |
title_exact_search_txtP | The modern algebra of information retrieval |
title_full | The modern algebra of information retrieval Sándor Dominich |
title_fullStr | The modern algebra of information retrieval Sándor Dominich |
title_full_unstemmed | The modern algebra of information retrieval Sándor Dominich |
title_short | The modern algebra of information retrieval |
title_sort | the modern algebra of information retrieval |
topic | Information Retrieval (DE-588)4072803-1 gnd Verbandstheorie (DE-588)4127072-1 gnd |
topic_facet | Information Retrieval Verbandstheorie |
url | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2346633&custom_att_2=simple_viewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016557916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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