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An introduction to Kolmogorov complexity and its applications

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  • "With this book, the authors are trying to present in a unified treatment an introduction to the central ideas and their applications of the Kolmogorov Complexity, the theory dealing with the quantity of information in individual objects. This book is appropriate for either a one- or two-semester introductory course in departments of computer science, mathematics, physics, probability theory and statistics, artificial intelligence, and philosophy. Although the mathematical theory of Kolmogorov complexity contains sophisticated mathematics, the amount of math one needs to know to apply the notions in widely divergent areas, is very little. The authors' purpose is to develop the theory in detail and outline a wide range of illustrative applications. This book is an attempt to grasp the mass of fragmented knowledge of this fascinating theory. Chapter 1 is a compilation of material on the diverse notations and disciplines we draw upon in order to make the book self-contained. The mathematical theory of Kolmogorov complexity is treated in chapters 2-4; the applications are treated in chapters 4-8."
  • "Written by two experts in the field, this book is ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. It is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems, as well as a great deal of new material not included in the first edition."
  • ""The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field." Journal of Symbolic Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and their applications of Kolmogorov complexity. the book presents a thorough treatment of the subject with a wide range of illsutrative applications. Such applications include the randomeness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computationla learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. the book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and himnts to solutions of problems. In this new edition the authors have added new material on circuit theory, distributed algorithms, data compression, and other topics."

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  • "Ressources Internet"
  • "Electronic books"
  • "Electronic books"@en
  • "Leermiddelen (vorm)"
  • "Online-Publikation"

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  • "An introduction to Kolmogorov complexity and its applications : with 49 figures"
  • "An Introduction to kolmogorov complexity and its applications"
  • "Introduction to Kolmogorov complexity and its applications"
  • "An introduction to kolmogorov complexity and its applications"
  • "An introduction to Kolmogorov complexity and its applications"@en
  • "An introduction to Kolmogorov complexity and its applications"
  • "An Introduction to Kolmogorov Complexity and Its Applications"
  • "An Introduction to Kolmogorov Complexity and Its Applications"@en
  • "An Introduction to Kolmogorov complexity and its applications"
  • "Introduction to kolmogorov complexity and its applications"@en

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