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You searched on: Topic Area: Math Sorted by: title

Displaying records 51 to 60 of 105 records.
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51. Estimating Critical Hopf Bifurcation Parameters for a Second Order DelayDifferential Equation with Application to Machine Tool Chatter
Topic: Math
Published: 5/1/2002
Author: David E. Gilsinn
Abstract: Nonlinear time delay differential equations are well known to have arisen in models in physiology, biology and population dynamics. They have also arisen in models of metal cutting processes. Machine tool chatter, from a process called regenerative c ...

52. Estimating Fault Detection Effectiveness
Topic: Math
Published: 4/1/2014
Authors: David R Kuhn, Raghu N Kacker, Yu Lei
Abstract: [Poster] A t-way covering array can detect t-way faults, however they generally include other combinations beyond t-way as well. For example, a particular test set of all 5-way combinations is shown capable of detecting all seeded faults in a test pr ...

53. Evolution of Modern Approaches to Express Uncertainty in Measurement
Topic: Math
Published: 11/27/2007
Authors: Raghu N Kacker, K D Sommer, Bernd Siebert
Abstract: The object of this paper is to discuss evolution of the concept of uncertainty in measurement and methods for its quantification from the classical error analysis to the modern approaches based on the Guide to the Expression of Uncertainty in Measure ...

54. Evolutionary Construction of de Bruijn Sequences
Topic: Math
Published: 7/20/2012
Author: Meltem Sonmez Turan
Abstract: A binary de Bruijn sequence of order n is a cyclic sequence of period 2^n, in which each n-bit pattern appears exactly once. These sequences are commonly used in applications such as stream cipher design, pseudo-random number generation, 3-D pattern ...

55. Expansions for a fundamental solution of Laplace's equation on R^u3^ in 5-cyclidic harmonics
Topic: Math
Published: 10/14/2014
Authors: Howard S Cohl, Hans Volkmer
Abstract: We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions in terms of internal and external 5-cyclidic harmonics of first, seco ...

56. Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements
Topic: Math
Published: 10/16/2009
Authors: Aaron Lott, Howard Elman
Abstract: We introduce a solver and preconditioning technique based on Domain Decomposition and the Fast Diagonalization Method that can be applied to tensor product based discretizations of the steady convection-diffusion equation. The method is based on iter ...

57. Fault Localization Based on Failure-Inducing Combinations
Topic: Math
Published: 11/7/2013
Author: Raghu N Kacker
Abstract: Combinatorial testing has been shown to be a very effective testing strategy. After a failure is detected, the next task is to identify the actual fault that causes the failure. In this paper, we present an approach to fault localization that le ...

58. Five Examples of Assessment and Expression of Measurement Uncertainty
Topic: Math
Published: 2/12/2013
Author: Antonio M Possolo
Abstract: It is a long accepted tenet of scientific practice that every measurement result ought to include a statement of uncertainty associated with the measured value, and that such uncertainty should be propagated to derivative products. It is also widely ...

59. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems
Topic: Math
Published: 6/5/2013
Author: Howard S Cohl
Abstract: We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series representations we derive Fouri ...

60. Front Matter for Special Issue of NIST Journal of Research in honor of Christoph Witzgall
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 3/31/2006
Authors: David E. Gilsinn, Ronald F Boisvert
Abstract: This front matter for a special issue of the NIST Journal of Research contains a photograph and biography of Christoph Witzgall. It also contains a thank you paragraph by Christoph Witzgall for a symposium held in his honor. Many of the papers in thi ...

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