Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Graduate texts in computer science
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007621498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XX, 637 S. graph. Darst. |
| ISBN: | 0387948686 |
Internformat
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| 100 | 1 | |a Li, Ming |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to Kolmogorov complexity and its applications |c Ming Li ; Paul Vitányi |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
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Datensatz im Suchindex
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|---|---|
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| _version_ | 1823083119466512384 |
| adam_text |
CONTENTS
PREFACE
TO
THE
FIRST
EDITION
.
V
HOW
TO
USE
THIS
BOOK
.
VIII
ACKNOWLEDGMENTS
.
X
PREFACE
TO
THE
SECOND
EDITION
.
XII
OUTLINES
OF
ONE-SEMESTER
COURSES
.
XII
LIST
OF
FIGURES
.
XIX
1
PRELIMINARIES
1
1.1
A
BRIEF
INTRODUCTION
.
1
1.2
PREREQUISITES
AND
NOTATION
.
6
1.3
NUMBERS
AND
COMBINATORICS
.
8
1.4
BINARY
STRINGS
.
12
1.5
ASYMPTOTIC
NOTATION
.
15
1.6
BASICS
OF
PROBABILITY
THEORY
.
18
1.7
BASICS
OF
COMPUTABILITY
THEORY
.
24
1.8
THE
ROOTS
OF
KOLMOGOROV
COMPLEXITY
.
47
1.9
RANDOMNESS
.
49
1.10
PREDICTION
AND
PROBABILITY
.
59
1.11
INFORMATION
THEORY
AND
CODING
.
65
1.12
STATE
X
SYMBOL
COMPLEXITY
.
84
1.13
HISTORY
AND
REFERENCES
.
86
XVI
CONTENTS
2
ALGORITHMIC
COMPLEXITY
93
2.1
THE
INVARIANCE
THEOREM
.
96
2.2
INCOMPRESSIBILITY
.
108
2.3
O'
AS
AN
INTEGER
FUNCTION
.
119
2.4
RANDOM
FINITE
SEQUENCES
.
127
2.5
*RANDOM
INFINITE
SEQUENCES
.
136
2.6
STATISTICAL
PROPERTIES
OF
FINITE
SEQUENCES
.
158
2.7
ALGORITHMIC
PROPERTIES
OF
C
.
167
2.8
ALGORITHMIC
INFORMATION
THEORY
.
179
2.9
HISTORY
AND
REFERENCES
.
185
3
ALGORITHMIC
PREFIX
COMPLEXITY
189
3.1
THE
INVARIANCE
THEOREM
.
192
3.2
*SIZES
OF
THE
CONSTANTS
.
197
3.3
INCOMPRESSIBILITY
.
202
3.4
A
AS
AN
INTEGER
FUNCTION
.
206
3.5
RANDOM
FINITE
SEQUENCES
.
208
3.6
*RANDOM
INFINITE
SEQUENCES
.
211
3.7
ALGORITHMIC
PROPERTIES
OF
A
.
224
3.8
*COMPLEXITY
OF
COMPLEXITY
.
226
3.9
*SYMMETRY
OF
ALGORITHMIC
INFORMATION
.
229
3.10
HISTORY
AND
REFERENCES
.
237
4
ALGORITHMIC
PROBABILITY
239
4.1
ENUMERABLE
FUNCTIONS
REVISITED
.
240
4.2
NONCLASSICAL
NOTATION
OF
MEASURES
.
242
4.3
DISCRETE
SAMPLE
SPACE
.
245
4.4
UNIVERSAL
AVERAGE-CASE
COMPLEXITY
.
268
4.5
CONTINUOUS
SAMPLE
SPACE
.
272
4.6
UNIVERSAL
AVERAGE-CASE
COMPLEXITY,
CONTINUED
.
307
4.7
HISTORY
AND
REFERENCES
.
307
CONTENTS
XVII
5
INDUCTIVE
REASONING
315
5.1
INTRODUCTION
.
315
5.2
SOLOMONOFF
'
S
THEORY
OF
PREDICTION
.
324
5.3
UNIVERSAL
RECURSION
INDUCTION
.
335
5.4
SIMPLE
PAC-LEARNING
.
339
5.5
HYPOTHESIS
IDENTIFICATION
BY
MINIMUM
DESCRIPTION
LENGTH
351
5.6
HISTORY
AND
REFERENCES
.
372
6
THE
INCOMPRESSIBILITY
METHOD
379
6.1
THREE
EXAMPLES
.
380
6.2
HIGH-PROBABILITY
PROPERTIES
.
385
6.3
COMBINATORICS
.
389
6.4
KOLMOGOROV
RANDOM
GRAPHS
.
396
6.5
COMPACT
ROUTING
.
404
6.6
AVERAGE-CASE
COMPLEXITY
OF
HEAPSORT
.
412
6.7
LONGEST
COMMON
SUBSEQUENCE
.
417
6.8
FORMAL
LANGUAGE
THEORY
.
420
6.9
ONLINE
CFL
RECOGNITION
.
427
6.10
TURING
MACHINE
TIME
COMPLEXITY
.
432
6.11
PARALLEL
COMPUTATION
.
445
6.12
SWITCHING
LEMMA
.
449
6.13
HISTORY
AND
REFERENCES
.
452
7
RESOURCE-BOUNDED
COMPLEXITY
459
7.1
MATHEMATICAL
THEORY
.
460
7.2
LANGUAGE
COMPRESSION
.
476
7.3
COMPUTATIONAL
COMPLEXITY
.
488
7.4
INSTANCE
COMPLEXITY
.
495
7.5
KT
COMPLEXITY
AND
UNIVERSAL
OPTIMAL
SEARCH
.
502
7.6
TIME-LIMITED
UNIVERSAL
DISTRIBUTIONS
.
506
7.7
LOGICAL
DEPTH
.
510
7.8
HISTORY
AND
REFERENCES
.
516
XVIII
CONTENTS
8
PHYSICS,
INFORMATION,
AND
COMPUTATION
521
8.1
ALGORITHMIC
COMPLEXITY
AND
SHANNON
'
S
ENTROPY
.
522
8.2
REVERSIBLE
COMPUTATION
.
528
8.3
INFORMATION
DISTANCE
.
537
8.4
THERMODYNAMICS
.
554
8.5
ENTROPY
REVISITED
.
565
8.6
COMPRESSION
IN
NATURE
.
583
8.7
HISTORY
AND
REFERENCES
.
586
REFERENCES
591
INDEX
618 |
| any_adam_object | 1 |
| author | Li, Ming Vitányi, Paul 1944- |
| author_GND | (DE-588)1201042623 |
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| building | Verbundindex |
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| classification_rvk | ST 130 ST 134 |
| classification_tum | MAT 601f DAT 517f |
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| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2025-02-03T11:01:29Z |
| institution | BVB |
| isbn | 0387948686 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007621498 |
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| physical | XX, 637 S. graph. Darst. |
| publishDate | 1997 |
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| publisher | Springer |
| record_format | marc |
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| spellingShingle | Li, Ming Vitányi, Paul 1944- An introduction to Kolmogorov complexity and its applications Kolmogorov-Komplexität (DE-588)4164697-6 gnd |
| subject_GND | (DE-588)4164697-6 |
| title | An introduction to Kolmogorov complexity and its applications |
| title_auth | An introduction to Kolmogorov complexity and its applications |
| title_exact_search | An introduction to Kolmogorov complexity and its applications |
| title_full | An introduction to Kolmogorov complexity and its applications Ming Li ; Paul Vitányi |
| title_fullStr | An introduction to Kolmogorov complexity and its applications Ming Li ; Paul Vitányi |
| title_full_unstemmed | An introduction to Kolmogorov complexity and its applications Ming Li ; Paul Vitányi |
| title_short | An introduction to Kolmogorov complexity and its applications |
| title_sort | an introduction to kolmogorov complexity and its applications |
| topic | Kolmogorov-Komplexität (DE-588)4164697-6 gnd |
| topic_facet | Kolmogorov-Komplexität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007621498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Handapparate (nicht verfügbar)
Teilbibliothek Mathematik & Informatik
| Signatur: | 0102 DAT 517f 2001 A 22731 |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |