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Wichmann–Hill generator: 1982 B. A. Wichmann and D. I. Hill [7] A combination of three small LCGs, suited to 16-bit CPUs. Widely used in many programs, e.g. it is used in Excel 2003 and later versions for the Excel function RAND [8] and it was the default generator in the language Python up to version 2.2. [9] Rule 30: 1983 S. Wolfram [10]
Roblox is an online game platform and game creation system built around user-generated content and games, [6] [7] officially referred to as "experiences". [8] Games can be created by any user through the platforms game engine, Roblox Studio, [9] and then shared to and played by other players. [6]
The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto (松本 眞) and Takuji Nishimura (西村 拓士). [1] [2] Its name derives from the choice of a Mersenne prime as its period length. The Mersenne Twister was designed specifically to rectify most of the flaws found in older PRNGs.
The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation.
In such a case, for b= 2 32 and r = 1, the period will be ab r /2 − 1, approaching 2 63, which in practice may be an acceptably large subset of the number of possible 32-bit pairs (x, c). More specifically, in such a case, the order of any element divides p − 1, and there are only four possible divisors: 1, 2, ab r /2 − 1, or ab r − 2.
In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series.
The Lehmer random number generator [1] (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park and Keith W. Miller), is a type of linear congruential generator (LCG) that operates in multiplicative group of integers modulo n. The general formula is
"Crosshair", a song by the Danish band Blue Foundation. Cross Hair , fictional G.I. Joe character. Crosshairs (Transformers), several robot superhero characters in the Transformers robot superhero franchise. Crosshair (Star Wars), a deformed clone trooper and former member of The Bad Batch in the Star Wars franchise.