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Topic Area: Math

Displaying records 1 to 10 of 230 records.
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1. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914742

2. Elliptic Curves arising from Brahmagupta Quadrilaterals
Topic: Math
Published: 8/1/2014
Authors: Farzali Izadi, Foad Khoshnam, Dustin Moody, Arman Zargar
Abstract: A Brahmagupta quadrilateral is a cyclic quadrilateral whose sides, diagonals, and area are all integer values. In this article, we characterize the notions of Brahmagupta, introduced by K. R. S. Sastry, by means of elliptic curves. Motivated by ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=917344

3. Applied and Computational Mathematics Division, Summary of Activities for Fiscal Year 2013
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7994
Topic: Math
Published: 4/28/2014
Author: Ronald F Boisvert
Abstract: This report summarizes the technical work of the Applied and Computational Sciences Division of NIST‰s Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Division‰s activities, including highlights of technica ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915547

4. An Empirical Comparison of Combinatorial and Random Testing
Topic: Math
Published: 4/1/2014
Authors: Laleh Ghandehari, Jacek Czerwonka, Yu Lei, Soheil Shafiee, Raghu N Kacker, David R Kuhn
Abstract: Some conflicting results have been reported on the comparison between t-way combinatorial testing and random testing. In this paper, we report a new study that applies t-way and random testing to the Siemens suite. In particular, we investigate the s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915439

5. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915440

6. Introducing Combinatorial Testing in a Large Organization: Pilot Project Experience Report
Topic: Math
Published: 4/1/2014
Authors: Jon Hagar, David R Kuhn, Raghu N Kacker, Thomas Wissink
Abstract: This poster gives an overview of the experience of eight pilot projects, over two years, applying combinatorial testing in a large aerospace organization. While results varied across the different pilot projects, overall it was estimated that CT wou ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915302

7. Compensating operators and stable backward in time marching in nonlinear parabolic equations.
Topic: Math
Published: 3/1/2014
Author: Alfred S Carasso
Abstract: Step by step time-marching schemes are fundamental tools in the numerical exploration of well-posed nonlinear evolutionary partial differential equations. However, when the initial value problem is ill-posed, such stepwise time-marching numerical s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914772

8. Combinatorial Test Generation for Software Product Lines Using Minimum Invalid Tuples
Topic: Math
Published: 1/9/2014
Authors: Yu Lei, Raghu N Kacker
Abstract: A software product line is a set of software systems that share some common features. Several recent works have been reported that apply combinatorial testing, a very effective testing strategy to software product lines. A unique challenge in these w ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914788

9. Compensating operators and stable backward in time marching in nonlinear parabolic equations.
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7967
Topic: Math
Published: 11/26/2013
Author: Alfred S Carasso
Abstract: Step by step time-marching schemes are fundamental tools in the numerical exploration of well-posed nonlinear evolutionary partial differential equations. However, when the initial value problem is ill-posed, such stepwise time-marching numerical s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914770

10. Combinatorial (t-way) testing for software: an adaptation of design of experiments
Topic: Math
Published: 11/1/2013
Author: Raghu N Kacker
Abstract: Most modern instruments of measurements for science, engineering, and commerce have embedded software. Also software is required for data handling and mathematical computations. Therefore verification and validation of software used in metrology is i ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910783



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