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  • 1
    Online Resource
    Online Resource
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    UID:
    almahu_9948621611802882
    Format: XX, 468 p. , online resource.
    Edition: 2nd ed. 2002.
    ISBN: 9783662049785
    Series Statement: Texts in Theoretical Computer Science. An EATCS Series,
    Content: The book presents in a mathematical clear way the fundamentals of algorithmic information theory and a few selected applications. This 2nd edition presents new and important results obtained in recent years: the characterization of computable enumerable random reals, the construction of an Omega Number for which ZFC cannot determine any digits, and the first successful attempt to compute the exact values of 64 bits of a specific Omega Number. Finally, the book contains a discussion of some interesting philosophical questions related to randomness and mathematical knowledge. "Professor Calude has produced a first-rate exposition of up-to-date work in information and randomness." D.S. Bridges, Canterbury University, co-author, with Errett Bishop, of Constructive Analysis; "The second edition of this classic work is highly recommended to anyone interested in algorithmic information and randomness." G.J. Chaitin, IBM Research Division, New York, author of Conversations with a Mathematician; "This book is a must for a comprehensive introduction to algorithmic information theory and for anyone interested in its applications in the natural sciences." K. Svozil, Technical University of Vienna, author of Randomness & Undecidability in Physics.
    Note: 1 Mathematical Background -- 2 Noiseless Coding -- 3 Program-size -- 4 Computably Enumerable Instantaneous Codes -- 5 Random Strings -- 6 Random Sequences -- 7 Computably Enumerable Random Reals -- 8 Randomness and Incompleteness -- 9 Applications -- 10 Open Problems -- Notation Index -- Name Index.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783642077937
    Additional Edition: Printed edition: ISBN 9783540434665
    Additional Edition: Printed edition: ISBN 9783662049792
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Berlin : Springer
    UID:
    gbv_749295252
    Format: Online-Ressource (XX, 468 p) , digital
    Edition: Second Edition, Revised and Extended
    Edition: Reproduktion Springer eBook Collection. Computer Science
    ISBN: 9783662049785
    Series Statement: Texts in Theoretical Computer Science An EATCS Series
    Content: The book presents in a mathematical clear way the fundamentals of algorithmic information theory and a few selected applications. This 2nd edition presents new and important results obtained in recent years: the characterization of computable enumerable random reals, the construction of an Omega Number for which ZFC cannot determine any digits, and the first successful attempt to compute the exact values of 64 bits of a specific Omega Number. Finally, the book contains a discussion of some interesting philosophical questions related to randomness and mathematical knowledge. "Professor Calude has produced a first-rate exposition of up-to-date work in information and randomness." D.S. Bridges, Canterbury University, co-author, with Errett Bishop, of Constructive Analysis; "The second edition of this classic work is highly recommended to anyone interested in algorithmic information and randomness." G.J. Chaitin, IBM Research Division, New York, author of Conversations with a Mathematician; "This book is a must for a comprehensive introduction to algorithmic information theory and for anyone interested in its applications in the natural sciences." K. Svozil, Technical University of Vienna, author of Randomness & Undecidability in Physics
    Additional Edition: ISBN 9783642077937
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783642077937
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783540434665
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783662049792
    Language: English
    URL: Volltext  (lizenzpflichtig)
    Author information: Calude, Cristian 1952-
    Library Location Call Number Volume/Issue/Year Availability
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