Probability on Finite and Discrete Set and Uniform Distribution

Hiroyuki Okazaki

doi:10.2478/v10037-009-0020-z

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Probability on Finite and Discrete Set and Uniform Distribution

Formalized Mathematics

Volume 17 (2009): Issue 2 (June 2009)

By: Hiroyuki Okazaki

Open Access

|Jul 2009

Abstract

A pseudorandom number generator plays an important role in practice in computer science. For example: computer simulations, cryptology, and so on. A pseudorandom number generator is an algorithm to generate a sequence of numbers that is indistinguishable from the true random number sequence. In this article, we shall formalize the "Uniform Distribution" that is the idealized set of true random number sequences. The basic idea of our formalization is due to [15].

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