A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear...

A combined linear congruential generator (CLCG) is a pseudo-random number generator algorithm based on combining two or more linear congruential generators...

function to improve the statistical properties of a modulo-2n linear congruential generator. It achieves excellent statistical performance with small and...

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...

Inversive congruential generators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse (if...

number generators. In the second half of the 20th century, the standard class of algorithms used for PRNGs comprised linear congruential generators. The...

147,483,563 = prime number, used as the modulus for the combined linear congruential generator 2,147,483,647 = 8th Mersenne prime, 3rd double Mersenne...

Eichenauer, Jürgen; Lehn, Jürgen (1986). "A nonlinear congruential pseudorandom number generator". Statistische Hefte. 27: 315–326. doi:10.1007/BF02932576...

certain non-random properties of a single linear congruential generator, several such random number generators with slightly different values of the multiplier...

linear feedback shift register has a strong relationship to linear congruential generators. LFSRs are used in circuit testing for test-pattern generation...

original 1993 generator is based on the combination of a linear congruential generator and of two linear feedback shift-register generators. It has a period...

low-order bits of a linear congruential PRNG with modulo 2e are less random than the high-order ones: the low n bits of the generator themselves have a...

randomness. George Marsaglia established the lattice structure of linear congruential generators in the paper "Random numbers fall mainly in the planes", later...

to the recurrence relation used by a linear congruential generator, a poor-quality pseudorandom number generator: r i = ( a r i − 1 + c ) mod m {\displaystyle...

convergence of a series Aitken's delta-squared process — most useful for linearly converging sequences Minimum polynomial extrapolation — for vector sequences...

1994). "On the lattice structure of certain linear congruential sequences related to AWC/SWB generators" (PDF). Mathematics of Computation. 62 (206):...

simple encryption scheme which XORs values from a linear congruential pseudorandom number generator with the block scale values. This method is computationally...

a\cdot a)^{-1}} ⁠, etc. Such an element a {\displaystyle a} is called a generator or a primitive element of the group. In additive notation, the requirement...

infinitesimal generators of the special unitary group SU(3). Hamiltonian matrix — a matrix used in a variety of fields, including quantum mechanics and linear-quadratic...

ISBN 0-86720-298-X. Jane Gilman (1995). "Hyperbolic triangles". Two-generator discrete subgroups of PSL(2,R). American Mathematical Society Bookstore...

mechanism will come with three base generator engine algorithms: linear_congruential_engine, subtract_with_carry_engine, and mersenne_twister_engine....

lattice theory like a meteor". Von Neumann combined traditional projective geometry with modern algebra (linear algebra, ring theory, lattice theory). Many...

number theorist Édouard Lucas. Like every sequence defined by a homogenous linear recurrence with constant coefficients, the Fibonacci numbers have a closed-form...

topologies in linear network analysis due to these being the simplest possible three-terminal networks. A Y-Δ transform is available for linear circuits....

and relations. In this type of definition, generators are a subset of group elements that, when combined, produce all other elements. The relations of...

have also been extensively studied. This is well illustrated by the non-linear Euler–Lagrange equations in the calculus of variations: although Euler developed...

argument τ = ( 1 + Δ ) / 2 {\displaystyle \tau =(1+{\sqrt {\Delta }})/2\,} a generator for the ring of integers of ⁠ K {\displaystyle K} ⁠, one has the special...

Theory of Numbers, p. 79 Mitchell, Douglas W., "A nonlinear random number generator with known, long cycle length", Cryptologia 17, January 1993, pp. 55–62...

C.; Van Over, B. (2019). "On arithmetical numerical monoids with some generators omitted". Semigroup Forum. 98 (2): 315–326. arXiv:1712.06741. doi:10...

for Women's Health Research SWIG – (a) Simplified Wrapper and Interface Generator SWIR – (a/i) Short Wave InfraRed ("ss-why-are" or "swhirr") SWLABR – (i)...