Mathematik der Information: Theorie und Anwendungen der Shannon-Wiener Information
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer Spektrum
2015
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| Series: | Springer-Lehrbuch Masterclass
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 155 - 156 |
| Physical Description: | XV, 160 S. graph. Darst. 240 mm x 168 mm |
| ISBN: | 9783662463819 |
Staff View
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Record in the Search Index
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INHALTSVERZEICHNIS
TEIL I GRUNDLAGEN
1 NACHRICHT UND INFORMATION 3
1.1 AUSGANGSPUNKT SENDER: NACHRICHT 3
1.2 ENDPUNKT EMPFANGER: INFORMATION 10
2 INFORMATION UND ZUFALL 13
2.1 WAHRSCHEINLICHKEIT UND INFORMATIONSMENGE 13
2.2 DIE MITTLERE INFORMATIONSMENGE EINES ZEICHENS 18
TEIL II ABZAEHLBARE SYSTEME
3 DIE ENTROPIE 23
3.1 DISKRETE WAHRSCHEINLICHKEITSRAEUME 23
3.2 MITTLERE INFORMATIONSMENGE 26
3.3 HUFFMAN-CODIERUNG 31
4 DAS MAXIMUM ENTROPIE PRINZIP 37
4.1 MAXIMALE MITTLERE INFORMATIONSMENGE UNTER NEBENBEDINGUNGEN 37
4.2 STATISTISCHE PHYSIK 42
5 BEDINGTE WAHRSCHEINLICHKEITEN 47
5.1 SUFFIZIENZ 47
5.2 TRANSINFORMATION 51
6 QUANTENINFORMATION 59
6.1 Q-BITS 59
6.2 TENSORRAEUME UND MULTI-Q-BITS 66
6.3 MESSUNGEN 73
6.4 KOPIEREN 80
XIII
HTTP://D-NB.INFO/1068992441
TEIL III ALLGEMEINE SYSTEME
7 DIE ENTROPIE VON PARTITIONEN 85
7.1 UEBERABZAEHLBARE ERGEBNISSE 85
7.2 ENTROPIE 88
7.3 ENTROPIE IN DYNAMISCHEN SYSTEMEN 92
8 STATIONAERE INFORMATIONSQUELLEN 103
8.1 ZYLINDERMENGEN UND PROJEKTIONEN 103
8.2 ENTROPIE PRO ZEICHEN 108
9 DICHTEFUNKTIONEN UND ENTROPIE 113
9.1 INTEGRATION 113
9.2 DICHTEN 127
9.3 DIFFERENTIELLE ENTROPIE 129
9.4 DIFFERENTIELLE ENTROPIE IN DYNAMISCHEN SYSTEMEN 138
10 BEDINGTE ERWARTUNGEN 145
10.1 EXISTENZ UND EINDEUTIGKEIT 145
10.2 SUFFIZIENZ 151
LITERATUR 155
SACHVERZEICHNIS 157 |
| any_adam_object | 1 |
| author | Schäffler, Stefan 1960- |
| author_GND | (DE-588)1038699452 |
| author_facet | Schäffler, Stefan 1960- |
| author_role | aut |
| author_sort | Schäffler, Stefan 1960- |
| author_variant | s s ss |
| building | Verbundindex |
| bvnumber | BV042518691 |
| classification_rvk | SK 880 UG 3000 |
| ctrlnum | (OCoLC)906177875 (DE-599)DNB1068992441 |
| dewey-full | 510 003.54 |
| dewey-hundreds | 500 - Natural sciences and mathematics 000 - Computer science, information, general works |
| dewey-ones | 510 - Mathematics 003 - Systems |
| dewey-raw | 510 003.54 |
| dewey-search | 510 003.54 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics 000 - Computer science, information, general works |
| discipline | Physik Informatik Mathematik |
| format | Book |
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| isbn | 9783662463819 |
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| physical | XV, 160 S. graph. Darst. 240 mm x 168 mm |
| publishDate | 2015 |
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| spelling | Schäffler, Stefan 1960- Verfasser (DE-588)1038699452 aut Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information Stefan Schäffler Berlin [u.a.] Springer Spektrum 2015 XV, 160 S. graph. Darst. 240 mm x 168 mm txt rdacontent n rdamedia nc rdacarrier Springer-Lehrbuch Masterclass Literaturverz. S. 155 - 156 Entropie (DE-588)4014894-4 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Vielfalt (DE-588)4312811-7 gnd rswk-swf Graduate Shannon-Entropie Differentielle Entropie Suffiziente Statistiken Quantum Computation Dynamische Systeme (DE-588)4123623-3 Lehrbuch gnd-content Informationstheorie (DE-588)4026927-9 s DE-604 Entropie (DE-588)4014894-4 s Vielfalt (DE-588)4312811-7 s Erscheint auch als Online-Ausgabe 978-3-662-46382-6 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=5192762&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027953074&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schäffler, Stefan 1960- Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information Entropie (DE-588)4014894-4 gnd Informationstheorie (DE-588)4026927-9 gnd Vielfalt (DE-588)4312811-7 gnd |
| subject_GND | (DE-588)4014894-4 (DE-588)4026927-9 (DE-588)4312811-7 (DE-588)4123623-3 |
| title | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information |
| title_auth | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information |
| title_exact_search | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information |
| title_full | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information Stefan Schäffler |
| title_fullStr | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information Stefan Schäffler |
| title_full_unstemmed | Mathematik der Information Theorie und Anwendungen der Shannon-Wiener Information Stefan Schäffler |
| title_short | Mathematik der Information |
| title_sort | mathematik der information theorie und anwendungen der shannon wiener information |
| title_sub | Theorie und Anwendungen der Shannon-Wiener Information |
| topic | Entropie (DE-588)4014894-4 gnd Informationstheorie (DE-588)4026927-9 gnd Vielfalt (DE-588)4312811-7 gnd |
| topic_facet | Entropie Informationstheorie Vielfalt Lehrbuch |
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| work_keys_str_mv | AT schafflerstefan mathematikderinformationtheorieundanwendungendershannonwienerinformation |