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Selected Works of A. N. Kolmogorov: Volume III: Information Theory and the Theory of Algorithms
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Catalogue Record 41910
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Catalogue Information
Nome campo
dettagli
Dewey Class
518.1
Titolo
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)
Pubblicazione
Dordrecht : Springer Netherlands , 1993.
Physical Details
XXV, 275 pages : online resource.
Serie
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
Link alle Opere Legate
Riferimenti soggetto:
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Algorithms
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Coding and Information Theory
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Coding theory
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Data structures (Computer science)
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Data Structures, Cryptology and Information Theory
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Mathematics
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Authors:
editor
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Shiryayev, Albert N.
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Vedi Anche:
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Širjaev, Alʹbert N., 1934-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications. Soviet series
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Classification:
518.1
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