1.

Record Nr.

UNISA996212505003316

Autore

Cover T. M. <1938-2012.>

Titolo

Elements of information theory [[electronic resource] /] / Thomas M. Cover, Joy A. Thomas

Pubbl/distr/stampa

Hoboken, N.J., : Wiley-Interscience, c2006

ISBN

1-118-58577-1

1-280-51749-2

9786610517497

0-470-30315-8

0-471-74882-X

0-471-74881-1

Edizione

[2nd ed.]

Descrizione fisica

1 online resource (774 p.)

Altri autori (Persone)

ThomasJoy A

Disciplina

003.54

003/.54

Soggetti

Information theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 689-721) and index.

Nota di contenuto

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



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

Sommario/riassunto

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



2.

Record Nr.

UNINA9910616381903321

Autore

Broad Matthew

Titolo

Britain, the Division of Western Europe and the Creation of EFTA, 1955–1963 / / by Matthew Broad, Richard T. Griffiths

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Palgrave Macmillan, , 2022

ISBN

9783030977375

3030977374

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (x, 344 pages)

Collana

Security, Conflict and Cooperation in the Contemporary World, , 2731-6815

Disciplina

330.94055

327.4104

Soggetti

Europe - History - 1492-

World politics

Great Britain - History

Economic history

History of Modern Europe

Political History

History of Britain and Ireland

Economic History

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1 Introduction -- 2 From Messina to the Formation of ‘Plan G’ -- 3 The OEEC Investigation and the Eve of the Intergovernmental Negotiations -- 4 The Maudling Negotiations and the End of the Free Trade Area -- 5 The Emergence of ‘the Seven’ -- 6 The Stockholm Negotiations -- 7 Consolidating the Association -- 8 Of Loose Ends, Applications and the Future of EFTA -- 9 Conclusion.

Sommario/riassunto

This book traces the emergence of the European Free Trade Association (EFTA) from 1955 to 1963 amid the broader reshaping of the institutional architecture of post-war Europe. It considers the ill-fated Free Trade Area (FTA) proposal, the subsequent creation of EFTA, and the resulting division of Western Europe into two distinct trading blocs. At its core, the book provides an international history of a formative



moment of post-war and European integration history, and explores the intense technical discussions among European states as they grappled with the prospect of deeper economic and political unity. It thus provides the first detailed analysis combining the FTA and EFTA negotiations, considering both state and non-state actors. Drawing on archives from Britain, Denmark, France, Germany, Ireland, Norway, the Netherlands, Sweden, Switzerland, and the US, as well as the records of the OEEC and EFTA, it examines the decision-making processes of those intimately involved as well as the institutional settings within which they were forced to reconcile their positions. At a key moment of contemporary European friction, the book offers a dialogue between the past and those trying to make sense of events that continue to shape Europe today. .