[PDF.97df] Exploring Randomness (Discrete Mathematics and Theoretical Computer Science)

Exploring Randomness (Discrete Mathematics and Theoretical Computer Science)

[PDF.sl00] Exploring Randomness (Discrete Mathematics and Theoretical Computer Science)

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 | #1810282 in Books |  Springer |  2001-12-07 | Original language:English | PDF # 1 |  9.21 x.44 x6.14l,.95 | File type: PDF | 164 pages

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||1 of 1 people found the following review helpful.| A golden spike unifying much more than can easily be summarized, simultaneously exuberant and subtle|By Paul Snively|This admirably slender volume deserves to be much more widely appreciated by computer scientists than it appears to be. Dr. Chaitin explains the program in a single sentence in his preface—algorithmic information theory is constructive measure theory—| ||From the reviews: |"In this book on algorithmic information theory, the author compares his concept of randomness (for recursive functions) which is based on the complexity (length) of the generating algorithm (program) with other concepts (by Martin-Löw

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site toge...

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