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Algorithmic Randomness And Complexity Rod G Downey Denis Roman Hirschfeldt

  • SKU: BELL-5476780
Algorithmic Randomness And Complexity Rod G Downey Denis Roman Hirschfeldt
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Algorithmic Randomness And Complexity Rod G Downey Denis Roman Hirschfeldt instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 6.49 MB
Pages: 855
Author: Rod G. Downey, Denis Roman Hirschfeldt
ISBN: 9780387684413, 0387684417
Language: English
Year: 2010

Product desciption

Algorithmic Randomness And Complexity Rod G Downey Denis Roman Hirschfeldt by Rod G. Downey, Denis Roman Hirschfeldt 9780387684413, 0387684417 instant download after payment.

Intuitively, a sequence such as 101010101010101010... does not seem random, whereas 101101011101010100..., obtained using coin tosses, does. How can we reconcile this intuition with the fact that both are statistically equally likely? What does it mean to say that an individual mathematical object such as a real number is random, or to say that one real is more random than another? And what is the relationship between randomness and computational power. The theory of algorithmic randomness uses tools from computability theory and algorithmic information theory to address questions such as these.

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