## Table of Contents (2003)

### Cached

### Download Links

- [www.tacc.utexas.edu]
- [www.csupomona.edu]
- DBLP

### Other Repositories/Bibliography

### BibTeX

@MISC{Patent03tableof,

author = {Of Any Patent and Copyright Or and Other Intellectual and Property Right},

title = {Table of Contents},

year = {2003}

}

### OpenURL

### Abstract

Intel products are not intended for use in medical, life saving, life sustaining, critical control or safety systems, or in nuclear facility applications. Intel may make changes to specifications and product descriptions at any time, without notice.

### Citations

686 |
The art of computer programming, Volume 2, Seminumerical Algorithms, third edition
- Knuth
- 1998
(Show Context)
Citation Context ...d by a certain number, which, if the result is a random phenomenon, is called a random number. The following are just a few examples of different applications of random numbers in scientific research =-=[8]-=-. • Simulation 6sVector Statistical Library Notes • Sampling. Checking of every possible variant is often impracticable - random sampling can answer certain questions. • Numerical analysis • Data sour... |

553 |
Mathematical Methods of Statistics
- Cramér
- 1946
(Show Context)
Citation Context ...skewness, and excess (kurtosis) coefficients, etc. All the ordinary sample characteristics converge in probability to the corresponding measures of distribution when the sample size tends to infinity =-=[3]-=-. Commonly, the characteristics based on the distribution moments are asymptotically normal with large sample sizes. Some classes of sample characteristics that are not based on sampling moments are a... |

426 |
Stochastic Simulation
- Ripley
- 1987
(Show Context)
Citation Context ...ntire period will be covered within slightly more than 2 seconds. Taking into consideration that good statistical behavior of the generator is observed only over a fraction of its period (B.D. Ripley =-=[16]-=- recommends to take no more than a square root of the period length), we may assert that such period length is unacceptable. Such generators, however, still may be useful in certain Monte Carlo applic... |

151 |
A Note on the Generation of Random Normal Deviates
- Box, Muller
- 1958
(Show Context)
Citation Context ...• If n = 0, assume x x = x = y = y = y = 1. −3 = −2 −1 −3 −2 −1 • If n = 1, assume x-3 = params[0] mod m1, x x = y = y = y = 1. −2 = −1 −3 −2 −1 • If n = 2, assume x-3 = params[0] mod m1, x-2 = params=-=[1]-=- mod m1, x y = y = y = 1 . −1 = −3 −2 −1 • If n = 3, assume x-3 = params[0] mod m1, x-2 = params[1] mod m1, x-1 = params[2] mod m1, y −3 = y−2 = y −1 = 1. If the values prove to be x-3 = x-2 = x-1 = 0... |

138 | Uniform random number generation
- L’Ecuyer
- 1994
(Show Context)
Citation Context ... supported vslLeapfrogStream supportedsGenerator Period = 2 − 2 ≈ 2. 1× 10 31 9 ρ . Lattice Structure Vector Statistical Library Notes M8 = 0.72771, M16 = 0.61996, M32 = 0.61996 (for more details see =-=[9]-=-). Empirical Testing Results Summary Test Name vsRngUniform vdRngUniform viRngUniform viRngUniformBits 3D Spheres Test OK (10% errors) OK (10% errors) N/A OK (10% errors) Birthday Spacing Test N/A N/A... |

51 | Tables of linear congruential generators of different sizes and good lattice structure
- L’ECUYER
- 1999
(Show Context)
Citation Context ... integer subsequence set by recursion. The variable un is the generator’s real output normalized to the interval (0, 1). 4, j MCG31m1 32-bit linear congruential generators, which also include MCG31m1 =-=[11]-=-, are still used as default RNGs in various systems mostly due to simplicity of implementation, speed of operation, and compatibility with earlier versions of the systems. However, their period length... |

40 |
A very fast shift-register sequence random number generator
- Kirkpatrick, Stoll
- 1981
(Show Context)
Citation Context ...ter generator. Feedback shift register generators possess extensive theoretical footing and were first considered as RNGs for cryptographic and communications applications. Generator R250 proposed in =-=[7]-=- is fast and simple in implementation. It is common in the field of physics. However, the generator fails a number of tests, a 2D self-avoiding random walk [18] being an example. MRG32k3a A combined g... |

38 |
The Marsaglia random number CDROM including the Diehard battery of tests of randomness. http://www.stat.fsu.edu/pub/ diehard/. Accessed 08/25/08
- Marsaglia
- 1995
(Show Context)
Citation Context ...general-purpose RNGs libraries is fairly hard to choose, as the tests it should include are supposed to be versatile and sufficient for many simulation tasks. DIEHARD Battery of Tests by G. Marsaglia =-=[13]-=- is an example of a good set of empirical tests for basic generators. Still a specific application type may require a more complete generator testing. While duly recognizing the importance and usefuln... |

29 |
Good parameter sets for combined multiple recursive random number generators
- L’Ecuyer
(Show Context)
Citation Context ...e in implementation. It is common in the field of physics. However, the generator fails a number of tests, a 2D self-avoiding random walk [18] being an example. MRG32k3a A combined generator MRG32k3a =-=[10]-=- meets the requirements for modern RNGs: good multidimensional uniformity, fairly large period, etc. Besides, being optimized for various Intel® architectures, this generator rivals the other VSL BRNG... |

25 |
Poisson random variate generation
- Schmeiser, Kachitvichyanukul
- 1981
(Show Context)
Citation Context ...e x-3 = x-2 = x-1 = 0, assume x-3 = 1. −1 = • If n ≥ 6, assume x-3 = params[0] mod m 1, x-2 = params[1] mod m 1, x-1 = params[2] mod m 1, y-3 = params[3] mod m 2, y-2 = params[4] mod m 2, y-1 = params=-=[5]-=- mod m 2. If the values prove to be x-3 = x-2 = x-1 = 0, assume x-3 = 1. If the values prove to be y-3 = y-2 = y-1 = 0, assume y-3 = 1.sSubsequences Selection Methods vslSkipAheadStream supported vslL... |

25 |
Computer generation of hypergeometric random variates
- Kachitvichyanukul, Schmeiser
- 1985
(Show Context)
Citation Context ...+ 1) ⋅ min( m + 1, l − m + 1) ( l + 2) , where ⎣ ⎦ = max( 0, min( s, l − s) − max( m, l − m) ) , min( min( m, l − m), min( s, l − s) ) k L k H = , the random numbers are generated by H2PE method (see =-=[6]-=- for details), otherwise by the inverse transformation method in combination with the table lookup method. H2PE method is a variation of the acceptance/rejection method that uses constant (on the frac... |

18 |
A Guide to Simulation. 2nd Edition
- Bratley, Fox, et al.
- 1987
(Show Context)
Citation Context ...N_BOXMULLER2 to generate a pair of random numbers of the standard normal distribution. Option 1. Single call of the method VSL_METHOD_DGAUSSIAN_BOXMULLER2 with the vector length equal to 2: … double x=-=[2]-=-; … vdRngGaussian(VSL_METHOD_DGAUSSIAN_BOXMULLER2, stream, 2, x, 0.0, 1.0); … In this case you generate the random numbers x[0], x[1] by the formula x[ 0] = x[ 1] = − 2lnu − 2lnu 1 1 2 sin 2πu cos2πu ... |

18 |
Four-tap shift-register-sequence random-number generators
- Ziff
- 1998
(Show Context)
Citation Context ...unity to verify the results obtained against the theoretical value. A good example of such test application, which is used in checking the VSL generators for quality, is the self-avoiding random walk =-=[18]-=-. The VSL library of the current Intel MKL version contains a set of generators to create general probability distributions, most commonly used in simulations, such as uniform, normal (Gaussian), expo... |

15 |
The generation of multiple independent sequences of pseudorandom numbers
- Maclaren
- 1989
(Show Context)
Citation Context ...d the constants mi,j are prime numbers in the range 16718909 to 16776971, which are close to 2 24 . These constants have been chosen so that they give good results with the spectral test, see [8] and =-=[12]-=-. The period of each Wichmann–Hill generator would be at least 2 92 , if it were not for common factors between (m1,j–1), (m2,j–1), (m3,j–1), and (m4,j–1). However, each generator should still have a ... |

14 |
Weight Monte Carlo Methods
- Mikhailov
(Show Context)
Citation Context ...y of random numbers should be used. For example, while estimating a global solution to an integral equation through Monte Carlo method, the same random numbers should be used for different parameters =-=[14]-=-. Somehow or other, modern computational capacities require BRNGs of at least 2 60 period length. All the other VSL BRNGs meet these requirements. Pseudorandom number generators are commonly recursive... |

9 | subsequences of well-known linear congruential pseudorandom number generators - Bad - 1998 |

6 |
Poisson Random Variate Generation. Research Memorandum 81–4
- Schmeiser, Kachitvichyanukul
- 1981
(Show Context)
Citation Context ...generation for one and the same probability distribution. For 20sVector Statistical Library Notes example, a Poisson distribution may be transformed by two different methods: the first, known as PTPE =-=[17]-=-, is based on acceptance/rejection and mixture of distributions techniques, while the second one is implemented through transformation of normally distributed random numbers. The method number calls a... |

2 | ORDERS EO – 37, Authorization and Appointment of State College Presidents to Approve Sabbatical Leaves EO – 181, Provisions for Extension and Summer Sessions Independent Study Programs Involving Foreign Travel EO – 590, Student Air Travel EO ‐ 688, Delega - EXECUTIVE |

1 | 47 of 51 Effective April 1, 2013 G‐001 Travel Procedures and Regulations http://www.calstate.edu/icsuam/sections/3000/ Office of the Executive Vice Chancellor Business and Finance December 1, 2010 Refer all general questions to: Lauri Reilly at 562‐951‐45 - Page |