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Information theory and the theory of algorithms

著者: A N Kolmogorov; Alʹbert Nikolaevich Shiri︠a︡ev
出版: Dordrecht ; Boston : Kluwer Academic Publishers, ©1993.
シリーズ: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 27.
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:

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  続きを読む

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ドキュメントの種類: 図書
すべての著者/寄与者: A N Kolmogorov; Alʹbert Nikolaevich Shiri︠a︡ev
ISBN: 9027727988 9789027727985
OCLC No.: 28255984
物理形態: xxv, 275 pages : illustrations ; 25 cm.
コンテンツ: 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.
シリーズタイトル: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 27.
その他のタイトル: Teorii︠a︡ informat︠s︡ii i teorii︠a︡ algoritmov.
責任者: edited by A.N. Shiryayev ; translated from the Russian by A.B. Sossinsky.

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