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- W2046371144 abstract "One of the two methods described has points in common with that of Starcenko L. P. (1959) who based his principle on a basic-property of transcendental numbers, namely that the fractional part of a logarithmic set of r prime numbers guaranties completely uniformly (0.,1.) distributed sequences of pseudo-random numbers O (e (Log N (k))**3 )+1 for k=1,2,...rOur original method also generates uniform random sequences of real numbers in the interval (0., 1.). It uses a set of real numbers of 54-bit precision mantissa issued from the approximation of independent quotients from randomly chosen integers as dividends and their associated prime numbers as divisors. An aperiodic method : In practice, no period caused by irrationality or error-rounding of the numbers used should be encountered. A faster method : Because the method works only by the use of floating-point additions and subtractions, it provides a better velocity than congruential methods which use integer multiplications and modular reductions. A transportable method : Since the implementation of real numbers in double precision follows the same IEEE standard for binary floating-point arithmetic, this method should give the same results for all sequences and be qualified as transportable." @default.
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- W2046371144 date "1989-07-01" @default.
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- W2046371144 title "Philosopher's corner" @default.
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- W2046371144 doi "https://doi.org/10.1145/70948.70950" @default.
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