Computability and Randomness pdf epub mobi txt 电子书 下载 2024


Computability and Randomness

简体网页||繁体网页
Andre Nies
Oxford University Press
2012-5-16
456
USD 45.95
Paperback
9780199652600

图书标签: 逻辑  数理逻辑  数学  Randomness   


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发表于2024-12-24

Computability and Randomness epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Computability and Randomness epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Computability and Randomness pdf epub mobi txt 电子书 下载 2024



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The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

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