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Catalogue Information
Field name	Details
Dewey Class	518.1
Title	Selected Works of A. N. Kolmogorov ([EBook]) : Volume III: Information Theory and the Theory of Algorithms / edited by A. N. Shiryayev.
Added Personal Name	Shiryayev, Albert N.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1993.
Physical Details	XXV, 275 pages : online resource.
Series	Mathematics and its applications. Soviet series 0169-6378 ; ; 27
ISBN	9789401729734
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-2973-4
Links to Related Works	Subject References: Algorithms . Coding and Information Theory . Coding theory . Data structures (Computer science) . Data Structures, Cryptology and Information Theory . Mathematics . Authors: editor . Shiryayev, Albert N. . See Also: Širjaev, Alʹbert N., 1934- . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 518.1 .

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Selected Works of A. N. Kolmogorov: Volume III: Information Theory and the Theory of Algorithms

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