The Lehmer random number generator (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park...

Random number generators are important in many kinds of technical applications, including physics, engineering or mathematical computer studies (e.g.,...

1949, he presented the pseudorandom number generator now known as the Lehmer random number generator. D. H. Lehmer wrote the article "The Machine Tools...

constants that specify the generator. If c = 0, the generator is often called a multiplicative congruential generator (MCG), or Lehmer RNG. If c ≠ 0, the method...

secure pseudo-random number generator Middle-square method Blum Blum Shub ACORN ISAAC Lagged Fibonacci generator Linear congruential generator Mersenne twister...

after Derrick Henry Lehmer Lehmer random number generator, named after D. H. Lehmer Lehmer sieve Lucas–Lehmer test Lucas–Lehmer–Riesel test, in mathematics...

pseudorandom number generators, the resulting sequences are functions of the supplied seed values. An MWC generator is a special form of Lehmer random number generator...

quasi-Monte Carlo methods use quasi-random number generators. Random selection, when narrowly associated with a simple random sample, is a method of selecting...

the modulus and multiplier in a Lehmer random number generator will lead to a short period for the sequence of random numbers. Marsaglia's result may...

eliminates the increment, reducing the LCG to a multiplicative (Lehmer-style) generator with a period of only 262, and uses the weaker XSH-RS output function:...

proper padding). 65537 is also used as the modulus in some Lehmer random number generators, such as the one used by ZX Spectrum, which ensures that any...

with seven labeled nodes. Several authors have suggested a Lehmer random number generator: X k + 1 = 16807 ⋅ X k     mod     2147483647 {\displaystyle...

the words "let X1,...,Xn be independent random variables...". Yet as D. H. Lehmer stated in 1951: "A random sequence is a vague notion... in which each...

"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator". ACM Transactions on Modeling and Computer Simulation. 8 (1):...

Mersenne number is prime makes the search for Mersenne primes a difficult task, since Mersenne numbers grow very rapidly. The Lucas–Lehmer primality...

pseudorandom number generator that produces numbers X {\displaystyle X} that are uniformly distributed in the half-open interval [0, 1). These random variates...

which enhance randomness beyond what manual shuffling can achieve. With the rise of online casinos, digital random number generators (RNGs) have become...

Random compact set Random element Random function Random measure Random number generator Random variate Random vector Randomness Stochastic process Relationships...

amounts of random numbers, and their use benefitted greatly from pseudorandom number generators, which are far quicker to use than the tables of random numbers...

versus a control group) using randomization, such as by a chance procedure (e.g., flipping a coin) or a random number generator. This ensures that each participant...

10 is a generator for this group. The discrete logarithm log10 a is defined for any a in G. A similar example holds for any non-zero real number b. The...

is called a Gaussian random polytope. A similar result holds for the number of vertices (of the Gaussian polytope), the number of edges, and in fact...

{O}}\left(b^{-1}\right)} Hence we can expect the generator to run no more Miller–Rabin tests than a number proportional to b. Taking into account the worst-case...

stable alternatives, see Algorithms for calculating variance. If the generator of random variable X {\displaystyle X} is discrete with probability mass function...

algorithm and its faster variants such as binary GCD algorithm or Lehmer's GCD algorithm. The number of integers coprime with a positive integer n, between 1 and...

correct for non-response. Random number table Mathematical algorithms for pseudo-random number generators Physical randomization devices such as coins, playing...

\end{align}} This probability can be used in conjunction with a random number generator to approximate π using a Monte Carlo approach. The solution to...

constructing a set of generators of GΔ and prime forms fq of GΔ with q in PΔ a sequence of relations between the set of generators and fq are produced....

officially as a student of electrical engineering but also studying number theory under D. H. Lehmer, and winning a title as California state trampoline champion...

mathematics, the Pocklington–Lehmer primality test is a primality test devised by Henry Cabourn Pocklington and Derrick Henry Lehmer. The test uses a partial...