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The fractional parts of a smooth sequence
Published online by Cambridge University Press: 26 February 2010
Extract
One construction used to produce a random number table is to take a smooth function F(x) taking values between 0 and 1, to evaluate it at N points spaced 1/M apart, and to ignore the first t decimal digits. With T = 10t this corresponds to taking the fractional part of
where T>M>N. The grounds for assuming this sequence to be random are that it is so difficult to prove anything about it.
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- Copyright © University College London 1988
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