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1. |
Record Nr. |
UNINA9910143567703321 |
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Autore |
Cover T. M. <1938-2012.> |
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Titolo |
Elements of information theory [[electronic resource] /] / Thomas M. Cover, Joy A. Thomas |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley-Interscience, c2006 |
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ISBN |
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1-118-58577-1 |
1-280-51749-2 |
9786610517497 |
0-470-30315-8 |
0-471-74882-X |
0-471-74881-1 |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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1 online resource (774 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 689-721) and index. |
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Nota di contenuto |
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ELEMENTS OF INFORMATION THEORY; CONTENTS; Preface to the Second Edition; Preface to the First Edition; Acknowledgments for the Second Edition; Acknowledgments for the First Edition; 1 Introduction and Preview; 1.1 Preview of the Book; 2 Entropy, Relative Entropy, and Mutual Information; 2.1 Entropy; 2.2 Joint Entropy and Conditional Entropy; 2.3 Relative Entropy and Mutual Information; 2.4 Relationship Between Entropy and Mutual Information; 2.5 Chain Rules for Entropy, Relative Entropy, and Mutual Information; 2.6 Jensen's Inequality and Its Consequences |
2.7 Log Sum Inequality and Its Applications2.8 Data-Processing Inequality; 2.9 Sufficient Statistics; 2.10 Fano's Inequality; Summary; Problems; Historical Notes; 3 Asymptotic Equipartition Property; 3.1 Asymptotic Equipartition Property Theorem; 3.2 Consequences of the AEP: Data Compression; 3.3 High-Probability Sets and the Typical Set; Summary; Problems; Historical Notes; 4 Entropy Rates of a Stochastic Process; 4.1 Markov Chains; 4.2 Entropy Rate; 4.3 Example: Entropy Rate of a Random Walk on a Weighted Graph; 4.4 Second Law of |
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Thermodynamics; 4.5 Functions of Markov Chains; Summary |
ProblemsHistorical Notes; 5 Data Compression; 5.1 Examples of Codes; 5.2 Kraft Inequality; 5.3 Optimal Codes; 5.4 Bounds on the Optimal Code Length; 5.5 Kraft Inequality for Uniquely Decodable Codes; 5.6 Huffman Codes; 5.7 Some Comments on Huffman Codes; 5.8 Optimality of Huffman Codes; 5.9 Shannon-Fano-Elias Coding; 5.10 Competitive Optimality of the Shannon Code; 5.11 Generation of Discrete Distributions from Fair Coins; Summary; Problems; Historical Notes; 6 Gambling and Data Compression; 6.1 The Horse Race; 6.2 Gambling and Side Information; 6.3 Dependent Horse Races and Entropy Rate |
6.4 The Entropy of English6.5 Data Compression and Gambling; 6.6 Gambling Estimate of the Entropy of English; Summary; Problems; Historical Notes; 7 Channel Capacity; 7.1 Examples of Channel Capacity; 7.1.1 Noiseless Binary Channel; 7.1.2 Noisy Channel with Nonoverlapping Outputs; 7.1.3 Noisy Typewriter; 7.1.4 Binary Symmetric Channel; 7.1.5 Binary Erasure Channel; 7.2 Symmetric Channels; 7.3 Properties of Channel Capacity; 7.4 Preview of the Channel Coding Theorem; 7.5 Definitions; 7.6 Jointly Typical Sequences; 7.7 Channel Coding Theorem; 7.8 Zero-Error Codes |
7.9 Fano's Inequality and the Converse to the Coding Theorem7.10 Equality in the Converse to the Channel Coding Theorem; 7.11 Hamming Codes; 7.12 Feedback Capacity; 7.13 Source-Channel Separation Theorem; Summary; Problems; Historical Notes; 8 Differential Entropy; 8.1 Definitions; 8.2 AEP for Continuous Random Variables; 8.3 Relation of Differential Entropy to Discrete Entropy; 8.4 Joint and Conditional Differential Entropy; 8.5 Relative Entropy and Mutual Information; 8.6 Properties of Differential Entropy, Relative Entropy, and Mutual Information; Summary; Problems; Historical Notes |
9 Gaussian Channel |
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Sommario/riassunto |
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The latest edition of this classic is updated with new problem sets and materialThe Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying t |
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2. |
Record Nr. |
UNINA9910483511603321 |
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Titolo |
Geography in Britain after World War II : Nature, Climate, and the Etchings of Time / / edited by Max Martin, Vinita Damodaran, Rohan D'Souza |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Palgrave Macmillan, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (244 pages) |
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Disciplina |
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Soggetti |
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Science - History |
World history |
Human geography |
Ecology |
History of Science |
World History, Global and Transnational History |
Human Geography |
Environmental Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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1. Introduction -- 2. Reminiscences -- 3. A half century of developments in desert geomorphology and the place of A.T. Grove -- 4. From the highlands to the lowlands and back again: Reconstructing past environmental changes in south-central and southern Africa -- 5. Quaternary dune systems in space and time -- 6. The changing human environments of eastern Saudi Arabia -- 7. Migrant birds and the threatened Sahel: Geographies of land use and degradation -- 8. Mediterranean forests, woods and shrublands -- 9. From Saharan palaeoclimates to Al Qaeda and the Islamic State. |
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Sommario/riassunto |
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Contemporary anxieties about climate change have fueled a growing interest in how landscapes are formed and transformed across spans of |
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time, from decades to millennia. While the discipline of geography has had much to say about how such environmental transformations occur, few studies have focused on the lives of geographers themselves, their ideologies, and how they understand their field. This edited collection illuminates the social and biographical contexts of geographers in postwar Britain who were influenced by and studied under the pioneering geomorphologist, A. T. Grove. These contributors uncover the relationships and networks that shaped their research on diverse terrains from Africa to the Mediterranean, highlighting their shared concerns which have profound implications not only for the study of geography and geomorphology, but also for questions of environmental history, ecological conservation, and human security. |
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