![]() For Monte Carlo methods, the main goal is to reproduce the statistical properties on which these methods are based, so that the Monte Carlo estimators behave as expected, whereas for gambling machines and cryptology, observing the sequence of output values for some time should provide no practical advantage for predicting the forthcoming numbers better than by just guessing at random. Key requirements may differ depending on the context. ![]() The 2D non-uniform quasi-random distribution of phase encoding lines in. The purpose of these algorithms is to produce sequences of numbers or objects whose behavior is very hard to distinguish from that of their ?truly random? counterparts, at least for the application of interest. A universal algorithm to generate pseudo-random numbers based on uniform mapping. In practice, random variables and other random objects are simulated by deterministic algorithms. This has given rise to elegant and powerful mathematical theory, but exact implementation of these concepts on conventional computers seems impossible. ![]() How floating point representation can help to reduce hardware complexity is explained. The fields of probability and statistics are built over the abstract concepts of probability space and random variable. Nonuniform random numbers are key for many technical applications. ![]()
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