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Information theory and the theory of algorithms

Author: A N Kolmogorov; Alʹbert Nikolaevich Shiri︠a︡ev
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1993.
Series: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 27.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

The last of three volumes which examines the work of the mathematician A.N. Kolmogorov. This volume contains original papers dealing with information theory and theory of algorithms. Comments on  Read more...

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Document Type: Book
All Authors / Contributors: A N Kolmogorov; Alʹbert Nikolaevich Shiri︠a︡ev
ISBN: 9027727988 9789027727985
OCLC Number: 28255984
Description: xxv, 275 p. : ill. ; 25 cm.
Contents: Papers by A. V. Kolmogorov.- 1. On the notion of algorithm.- 2. On the general definition of the quantity of information.- 3. The theory of transmission of information.- 4. Amount of information and entropy for continuous distributions.- 5. New metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces.- 6. To the definition of algorithms.- 7. ?-entropy and ?-capacity of sets in functional spaces.- 8. Various approaches to estimating the complexity of approximate representation and calculation of functions.- 9. On tables of random numbers.- 10. Three approaches to the definition of the notion of amount of information.- 11. On the realization of networks in three - dimensional space.- 12. To the logical foundations of the theory of information and probability theory.- 13. The combinatorial foundations of information theory and the probability calculus.- Comments and addenda.- On works in information theory and some of its applications.- Information theory.- Algorithmic information theory.- ?-entropy and ?-capacity.- Tables of random numbers.- Realization of networks in 3-dimensional space.- Ergodic theory.- Kolmogorov's algorithms or machines.- From A. N. Kolmogorov's recollections.- Appendix 1. Report to the mathematical circle about square pavings.- Appendix 2. On operations on sets. II.- Afterword.
Series Title: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 27.
Other Titles: Teorii︠a︡ informat︠s︡ii i teorii︠a︡ algoritmov.
Responsibility: edited by A.N. Shiryayev ; translated from the Russian by A.B. Sossinsky.
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