Asymmetry: the foundation of information:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
| Schriftenreihe: | The frontiers collection
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 165 S. Ill., graph. Darst. |
| ISBN: | 9783540698838 3540698833 |
Internformat
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| 100 | 1 | |a Muller, Scott J. |e Verfasser |4 aut | |
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2007 | |
| 300 | |a VIII, 165 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804145194805755904 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 1
1.1 STRUCTURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 3
2 INFORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 5
2.1 SCOPE OF INFORMATION . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 5
2.2 A SURVEY OF INFORMATION THEORIES . . . . . . . . . . . . . . . . . .
. . 6
2.2.1 THERMODYNAMIC INFORMATION THEORY . . . . . . . . . . . . 7
2.2.2 INFORMATION (COMMUNICATION) THEORY . . . . . . . . . . . 32 2.2.3
ALGORITHMIC INFORMATION THEORY . . . . . . . . . . . . . . . . 34
2.2.4 SIGNPOST . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 54
2.3 PROBABILITY . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 56
2.3.1 SUBJECTIVE PROBABILITY . . . . . . . . . . . . . . . . . . . . . .
. . . 57
2.3.2 FREQUENCY PROBABILITY . . . . . . . . . . . . . . . . . . . . . .
. . . 57
2.3.3 DISPOSITIONAL PROBABILITY . . . . . . . . . . . . . . . . . . . .
. . 63
2.4 SIGNPOST . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 65
3 INFORMATION AND DISTINGUISHABILITY . . . . . . . . . . . . . . . . . .
. 67
3.1 DISTINGUISHABILITY . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 67
3.2 INFORMATION: A FOUNDATIONAL APPROACH . . . . . . . . . . . . . . .
76
4 INFORMATION AND SYMMETRY . . . . . . . . . . . . . . . . . . . . . . .
. . 79
4.1 SYMMETRY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 79
4.2 SYMMETRY AND GROUP THEORY . . . . . . . . . . . . . . . . . . . . .
. . . 81
4.2.1 SUBGROUPS AND SPECIAL GROUPS . . . . . . . . . . . . . . . . . 87
4.2.2 GROUP THEORY AND INFORMATION . . . . . . . . . . . . . . . . . 89
4.3 SYMMETRY AND INFORMATION . . . . . . . . . . . . . . . . . . . . . .
. . . . 96
4.3.1 INFORMATION GENERATION . . . . . . . . . . . . . . . . . . . . . .
. 97
4.3.2 EXTRINSIC AND INTRINSIC INFORMATION . . . . . . . . . . . . . 99
4.4 INFORMATION AND PROBABILITY . . . . . . . . . . . . . . . . . . . .
. . . . . 100
IMAGE 2
VIII CONTENTS
4.4.1 MAXIMUM ENTROPY PRINCIPLE . . . . . . . . . . . . . . . . . . .
100
4.5 INFORMATION AND STATISTICAL MECHANICS . . . . . . . . . . . . . . .
. 112
4.5.1 DISTINGUISHABILITY AND ENTROPY . . . . . . . . . . . . . . . . .
112
4.5.2 DEMONIC INFORMATION . . . . . . . . . . . . . . . . . . . . . . .
. . . 116
4.6 INFORMATION AND PHYSICAL THERMODYNAMICS . . . . . . . . . . . . 118
4.6.1 SYMMETRY AND PHYSICAL ENTROPY . . . . . . . . . . . . . . . . 118
4.6.2 SYMMETRY AND THE THIRD LAW . . . . . . . . . . . . . . . . . . 120
4.6.3 INFORMATION AND THE GIBBS PARADOX . . . . . . . . . . . . 122
4.7 QUANTUM INFORMATION . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 124
4.7.1 QUANTUM INFORMATION AND DISTINGUISHABILITY . . . . . 125 4.8
SYMMETRIES AND ALGORITHMIC INFORMATION THEORY . . . . . . . 132 4.8.1
SYMMETRY AND KOLMOGOROV COMPLEXITY . . . . . . . . . 132
4.8.2 MEMORY AND MEASUREMENT . . . . . . . . . . . . . . . . . . . . .
132
4.8.3 GROUPS AND ALGORITHMIC INFORMATION THEORY . . . . . 133 4.8.4
SYMMETRY AND RANDOMNESS . . . . . . . . . . . . . . . . . . . . 137
4.8.5 A FINAL SIGNPOST . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 141
5 CONCLUSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 143
A BURNSIDE S LEMMA . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 147
B WORKED EXAMPLES . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 149
B.1 CLOCKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 149
B.1.1 CASE 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 149
B.1.2 CASE 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 150
B.1.3 CASE 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 152
B.2 BINARY STRING . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 153
REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 155
INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 161
|
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| author | Muller, Scott J. |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Physik Allgemeines Informatik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T23:15:35Z |
| institution | BVB |
| isbn | 9783540698838 3540698833 |
| language | English |
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| physical | VIII, 165 S. Ill., graph. Darst. |
| publishDate | 2007 |
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| publisher | Springer |
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| spelling | Muller, Scott J. Verfasser aut Asymmetry: the foundation of information Scott J. Muller Berlin [u.a.] Springer 2007 VIII, 165 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier The frontiers collection Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s DE-188 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022154204&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Muller, Scott J. Asymmetry: the foundation of information Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4026927-9 |
| title | Asymmetry: the foundation of information |
| title_auth | Asymmetry: the foundation of information |
| title_exact_search | Asymmetry: the foundation of information |
| title_full | Asymmetry: the foundation of information Scott J. Muller |
| title_fullStr | Asymmetry: the foundation of information Scott J. Muller |
| title_full_unstemmed | Asymmetry: the foundation of information Scott J. Muller |
| title_short | Asymmetry: the foundation of information |
| title_sort | asymmetry the foundation of information |
| topic | Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Informationstheorie |
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