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

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Andre Nies 作者

Oxford University Press

译者

2012-5-16 出版日期

456 页数

USD 45.95 价格

Paperback

丛书系列

9780199652600 图书编码

Computability and Randomness 在线电子书图书标签: 逻辑数理逻辑数学 Randomness

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发表于2024-07-05

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

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Computability and Randomness 在线电子书图书描述

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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