2. Definitions
The function of a random number generator, whatever its type, is of course the intuitive notion of producing many numbers, such as those obtained by randomly drawing many perfect dice (or using a single die many times). Before we begin our study of the classical structures of random number generators, we need to recall a few definitions and the necessary mathematical tools, as well as the terminology of the main elements we'll encounter in what follows.
Mathematically defining chance or randomness is a complex problem that is still the subject of debate today. Fortunately, only fairly simple notions of statistics, probability and algorithms are needed for the rest.
Numerous theoretical works have...
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Definitions