Linear congruential generator

Linear combination of atomic orbitals (LCAO) method, 16 736 Linear condensation, in silanol polycondensation, 22 557-558 Linear congruential generator (LCG), 26 1002-1003 Linear copolymers, 7 610t Linear density, 19 742 of fibers, 11 166, 182 Linear dielectrics, 11 91 Linear elastic fracture mechanics (LEFM), 1 509-510 16 184 20 350 Linear ethoxylates, 23 537 Linear ethylene copolymers, 20 179-180 Linear-flow reactor (LFR) polymerization process, 23 394, 395, 396 Linear free energy relationship (LFER) methods, 16 753, 754 Linear higher a-olefins, 20 429 Linear internal olefins (LIOs), 17 724 Linear ion traps, 15 662 Linear kinetics, 9 612 Linear low density polyethylene (LLDPE), 10 596 17 724-725 20 179-211 24 267, 268. See also LLDPE entries a-olefin content in, 20 185-186 analytical and test methods for,... 

The most commonly used generator for pseudo-random numbers is the linear congruential generator (LCG) [20] ... 

Parallel Spectral Test. Percus and Kalos [14] have developed a version of the spectral test for parallel linear congruential generators. 

M. Mascagni, "Parallel Linear Congruential Generators with Prime Moduli, Parallel... 

A modification of the multiplicative generator is the linear congruential algorithm (LCA) or generator. If Xi is the current random number, then the next random number is... 

Good combined generators have been developed by L Ecuyer [35], based on the addition of linear congruential sequences. 

Figure 5. Plot of the actual error versus the internally estimated standard deviation of the energy error for Ising model simulations with the Metropolis algorithm on a 16 x 16 lattice with a different linear congruential sequence at each lattice site. The dashed line shows the results when all the linear congruential sequences were started with the same seeds but with different additive constants. The solid line shows the results when the sequences were started with different seeds. We expect around 95% of the points to be below the dotted line (which represents an error of two standard deviations) with a good generator.

The MOD function returns the remainder when the first argument is divided by the second (for example, MOD(14,5) equals 4). If the constants are chosen carefully, the linear congruential method generates all possible integers between 0 and m — 1, and the period (i.e. the number of iterations before the sequence starts to repeat itself) will be equal to... 

Fig. 8 3 Two random distributions obtained by plotting pairs of values from a linear congruential random generator The distribubon (a) was obtained using m = 32 769, a = 10924, b = 11830 The distribution (b) was obtained using m = 6075, a = 106, b = 1283. Data from [Sharp and Bays 1992]...

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