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Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects an...
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International Sport Management, Second Edition, serves as an invaluable guide for students as they build careers that require an understanding of the relationships, influences, and responsibilities of sport management in a global context.
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One of the most baffling problems in contemporary Chinese economic studies concerns the validity of official statistics. In the continuing discussion of claims and counter-claims, appeals to common sense are unconvincing. Because of the pressing need for substantial evidence on which to base a judgment, the present inquiry is an important contribution to the literature on Communist China. The book provides a quizzical but objective look at the statistical system of the country, and attempts to appraise the quality of official statistics by analyzing the development and inner working of the sytem. Its approach is broadly historical, beginning with the pre-Communist period (before 1949) and di...