Titlebook: Exploring RANDOMNESS; Gregory J. Chaitin Book 2001 Springer-Verlag London 2001 LISP.Randomness.Ringe.Turing machine.algorithms.complexity.

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What is LISP? Why do I like it?at I invented, and in the next chapter I’ll tell you how to use it to program the universal Turing machine that we’ll use to measure the size of computer programs and to define the program-size complexity .

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Theoretical interlude—What is randomness? My definitionshis set. In other words, the random objects in a set are those that have the highest complexity. Applied to the set of all .-bit strings this gives one of our definitions, applied to infinite binary sequences this gives our second definition.

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1572-5553 mplimentary text to existing titles on Deligne-Lusztig theor.Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the gene

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