Information and randomness: an algorithmic perspective
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Monographs in theoretical computer science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 222 - 231 |
| Physical Description: | XVI, 240 S. |
| ISBN: | 3540574565 0387574565 |
Staff View
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| 100 | 1 | |a Calude, Cristian |d 1952- |e Verfasser |0 (DE-588)120988259 |4 aut | |
| 245 | 1 | 0 | |a Information and randomness |b an algorithmic perspective |c Cristian Calude |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XVI, 240 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Monographs in theoretical computer science | |
| 500 | |a Literaturverz. S. 222 - 231 | ||
| 650 | 4 | |a Komplexitätstheorie - Randomisierter Algorithmus | |
| 650 | 4 | |a Machine theory | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Stochastic processes | |
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Record in the Search Index
| _version_ | 1807506016092291072 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1.
MATHEMATICAL
BACKGROUND
.
1
1.1
PREREQUISITES
.
1
1.2
RECURSIVE
FUNCTION
THEORY
.
2
1.3
TOPOLOGY
.
5
1.4
PROBABILITY
THEORY
.
6
2.
NOISELESS
CODING
.
15
2.1
PREFIX-FREE
SETS
.
15
2.2
INSTANTANEOUS
CODING
.
17
2.3
EXERCISES
AND
PROBLEMS
.
22
2.4
HISTORY
OF
RESULTS
.
23
3.
PROGRAM
SIZE
.
25
3.1
AN
EXAMPLE
.
25
3.2
COMPUTERS
AND
COMPLEXITIES
.
26
3.3
ALGORITHMIC
PROPERTIES
OF
COMPLEXITIES
.
32
3.4
QUANTITATIVE
ESTIMATES
.
33
3.5
HALTING
PROBABILITIES
.
35
3.6
EXERCISES
AND
PROBLEMS
.
37
3.7
HISTORY
OF
RESULTS
.
38
4.
RECURSIVELY
ENUMERABLE
INSTANTANEOUS
CODES
.
41
4.1
THE
KRAFT-CHAITIN
THEOREM
.
41
4.2
RELATIVIZED
COMPLEXITIES
AND
PROBABILITIES
.
50
4.3
SPEED-UP
THEOREM
.
59
4.4
CODING
THEOREM
.
62
4.5
BINARY
VS
NON-BINARY
CODING
.
64
4.6
EXERCISES
AND
PROBLEMS
.
67
4.7
HISTORY
OF
RESULTS
.
69
5.
RANDOM
STRINGS
.
71
5.1
EMPIRICAL
ANALYSIS
.
71
5.2
CHAITIN
'
S
DEFINITION
OF
RANDOM
STRINGS
.
75
5.3
RELATING
COMPLEXITIES
K
AND
H
.
80
XVI
TABLE
OF
CONTENTS
5.4 A
STATISTICAL
ANALYSIS
.
81
5.5
A
COMPUTATIONAL
ANALYSIS
.
89
5.6
BOREL
NORMALITY
.
93
5.7
EXTENSIONS
OF
RANDOM
STRINGS
.
98
5.8
EXERCISES
AND
PROBLEMS
.
103
5.9
HISTORY
OF
RESULTS
.
106
6.
RANDOM
SEQUENCES
.
107
6.1
FROM
RANDOM
STRINGS
TO
RANDOM
SEQUENCES
.
107
6.2
THE
DEFINITION
OF
RANDOM
SEQUENCES
.
116
6.3
CHARACTERIZATIONS
OF
RANDOM
SEQUENCES
.
125
6.4
PROPERTIES
OF
RANDOM
SEQUENCES
.
137
6.5
REDUCIBILITY
THEOREM
.
153
6.6
CHAITIN
'
S
OMEGA
NUMBER
.
166
6.7
IS
RANDOMNESS
ROBUST?
.
168
6.8
EXERCISES
AND
PROBLEMS
.
178
6.9
HISTORY
OF
RESULTS
.
181
7.
APPLICATIONS
.
183
7.1
THREE
INFORMATION-THEORETIC
PROOFS
.
183
7.2
INFORMATION-THEORETIC
INCOMPLETENESS
.
187
7.3
CODING
MATHEMATICAL
KNOWLEDGE
.
190
7.4
RANDOMNESS
IN
MATHEMATICS
.
193
7.5
PROBABILISTIC
ALGORITHMS
.
198
7.6
STRUCTURAL
COMPLEXITY
.
201
7.7
WHAT
IS
LIFE?
.
205
7.8
RANDOMNESS
IN
PHYSICS
.
210
7.9
METAPHYSICAL
THEMES
.
214
8.
OPEN
PROBLEMS
.
217
BIBLIOGRAPHY
.
221
NOTATION
INDEX
.
233
SUBJECT
INDEX
.
235
AUTHOR
INDEX
.
237 |
| any_adam_object | 1 |
| author | Calude, Cristian 1952- |
| author_GND | (DE-588)120988259 |
| author_facet | Calude, Cristian 1952- |
| author_role | aut |
| author_sort | Calude, Cristian 1952- |
| author_variant | c c cc |
| building | Verbundindex |
| bvnumber | BV009780053 |
| callnumber-first | Q - Science |
| callnumber-label | QA267 |
| callnumber-raw | QA267.C33 1994 |
| callnumber-search | QA267.C33 1994 |
| callnumber-sort | QA 3267 C33 41994 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 830 ST 130 ST 134 |
| classification_tum | MAT 605f DAT 550f DAT 570f |
| ctrlnum | (OCoLC)246926458 (DE-599)BVBBV009780053 |
| dewey-full | 003/.54/01511320 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.54/015113 20 |
| dewey-search | 003/.54/015113 20 |
| dewey-sort | 13 254 515113 220 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-16T01:34:22Z |
| institution | BVB |
| isbn | 3540574565 0387574565 |
| language | English |
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| physical | XVI, 240 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series2 | Monographs in theoretical computer science |
| spelling | Calude, Cristian 1952- Verfasser (DE-588)120988259 aut Information and randomness an algorithmic perspective Cristian Calude Berlin u.a. Springer 1994 XVI, 240 S. txt rdacontent n rdamedia nc rdacarrier Monographs in theoretical computer science Literaturverz. S. 222 - 231 Komplexitätstheorie - Randomisierter Algorithmus Machine theory Computational complexity Stochastic processes Automatentheorie (DE-588)4003953-5 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Automatentheorie (DE-588)4003953-5 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006471651&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Calude, Cristian 1952- Information and randomness an algorithmic perspective Komplexitätstheorie - Randomisierter Algorithmus Machine theory Computational complexity Stochastic processes Automatentheorie (DE-588)4003953-5 gnd Informationstheorie (DE-588)4026927-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4003953-5 (DE-588)4026927-9 (DE-588)4057630-9 |
| title | Information and randomness an algorithmic perspective |
| title_auth | Information and randomness an algorithmic perspective |
| title_exact_search | Information and randomness an algorithmic perspective |
| title_full | Information and randomness an algorithmic perspective Cristian Calude |
| title_fullStr | Information and randomness an algorithmic perspective Cristian Calude |
| title_full_unstemmed | Information and randomness an algorithmic perspective Cristian Calude |
| title_short | Information and randomness |
| title_sort | information and randomness an algorithmic perspective |
| title_sub | an algorithmic perspective |
| topic | Komplexitätstheorie - Randomisierter Algorithmus Machine theory Computational complexity Stochastic processes Automatentheorie (DE-588)4003953-5 gnd Informationstheorie (DE-588)4026927-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Komplexitätstheorie - Randomisierter Algorithmus Machine theory Computational complexity Stochastic processes Automatentheorie Informationstheorie Stochastischer Prozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006471651&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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