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Displaying records 11 to 20 of 101 records.
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11. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912042

12. Determining Mechanical Reliability of Brittle Materials
Topic: Math
Published: 4/18/2013
Authors: Stephen W. Freiman, Jeffrey T Fong
Abstract: The widespread existence of slow crack growth in most glasses and ceramics due to a stress-enhanced reaction between an external environment and strained bonds at a crack tip greatly complicates the challenge of assuring the reliability of components ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910158

13. An Input Space Modeling Methodology for Combinatorial Testing
Topic: Math
Published: 3/22/2013
Authors: Mehra N. Borazjany, Laleh Ghandehari, Yu Lei, Raghu N Kacker, David R Kuhn
Abstract: The input space of a system must be modeled before combinatorial testing can be applied to this system. The effectiveness of combinatorial testing to a large extent depends on the quality of the input space model. In this paper we introduce an input ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913205

14. Applying Combinatorial Testing to the Siemens Suite
Topic: Math
Published: 3/22/2013
Authors: Laleh Ghandehari, Mehra N. Borazjany, Yu Lei, Raghu N Kacker, David R Kuhn
Abstract: Combinatorial testing has attracted a lot of attention from both industry and academia. A number of reports suggest that combinatorial testing can be effective for practical applications. However, there still seems to lack systematic, controlled stud ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913206

15. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910812

16. A Bayesian Quantitative Nondestructive Evaluation (QNDE) Approach to Estimating Remaining Life of Aging Pressure Vessels and Piping
Topic: Math
Published: 1/1/2013
Authors: Jeffrey T Fong, William F Guthrie, James J Filliben, Nathanael A Heckert
Abstract: In this paper, we use a Bayesian quantitative nondestructive evaluation (QNDE) approach to estimating the remaining life of aging structures and components. Our approach depends on in-situ NDE measurements of detectable crack lengths and crack g ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913221

17. Definite integrals using orthogonality and integral transforms
Topic: Math
Published: 10/19/2012
Authors: Howard S Cohl, Hans Volkmer
Abstract: We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911945

18. Counting on Today's Students
Topic: Math
Published: 9/3/2012
Author: Isabel M Beichl
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911915

19. Transient Convection-Diffusion Modelling of Peak Temperature in Orthogonal Cutting
Topic: Math
Published: 8/19/2012
Authors: Timothy J Burns, Steven P Mates, Richard L. Rhorer, Eric Paul Whitenton, Debasis Basak
Abstract: Numerical finite-difference simulations of a two-dimensional transient fast convection-slow diffusion model of the temperature field in orthogonal cutting, due to Tlusty, have been shown to provide better predictions of the peak temperature during or ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910514

20. Arithmetic Progressions on Huff Curves
Topic: Math
Published: 7/23/2012
Author: Dustin Moody
Abstract: We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic progression. ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908329



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