Random Number Generators

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参考:www.math.utah.edu/~pa/Random/…

What is a random number generator?

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Transformation of the original sequence.

Of course one may want random numbers not as integers in a given range, but for example as uniformly distributed real numbers in a certain interval, or perhaps as real numbers of (almost) arbitrary size, but clustered around the origin. Distributions of that sort can be obtained by suitably transforming the original random numbers. For example, to transform a sequence defined as above into an evenly distributed set of real numbers in the interval from 0 to 1 simply divide each of the original numbers by N. In the remainder of this page, though, we just consider the sequence defined by  (*)  itself.