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Displaying records 111 to 120 of 244 records.
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111. 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

112. Extending Measurement Science to Interactive Visualization Environments
Topic: Math
Published: 1/30/2009
Authors: Judith Ellen Terrill, William L George, Terence J. Griffin, John G Hagedorn, John T. Kelso, Thomas M Olano, Adele P Peskin, Steven G Satterfield, James S Sims, Jeffrey W Bullard, Joy P Dunkers, Nicos Martys, Agnes (Abbie) O'Gallagher, Gillian Haemer
Abstract: We describe a method for creating a visual laboratory to interactively measure and analyze scientific data. We move the normal activities that scientists perform to understand their data into the visualization environment. The visualization environme ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51227

113. Families of Elliptic Curves with Rational 3-torsion
Topic: Math
Published: 1/30/2012
Authors: Dustin Moody, Hongfeng Wu
Abstract: In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of Fq-isogeny ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909543

114. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=901466

115. Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7574
Topic: Math
Published: 3/5/2009
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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=902034

116. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913018

117. Finite Precision Representation of the Conley Decomposition
Report Number: 6182
Topic: Math
Published: 12/1/1998
Author: Fern Y Hunt
Abstract: We present the theoretical basis for a novel way of studying and representing the long time behavior of finite dimensional maps. It is based on the sample paths of a Markov chain. Applications of the method to the approximation of attractors of map ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150728

118. 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

119. Four Measures of Nonlinearity
Topic: Math
Published: 6/23/2013
Authors: Joan Boyar, Magnus Find, Rene C Peralta
Abstract: Cryptographic applications, such as hashing, block ciphers and stream ciphers, make use of functions which are simple by some criteria (such as circuit implementations), yet hard to invert almost everywhere. A necessary condition for the latter prope ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913656

120. Fourier, Gauss, Fraunhofer, Porod and the Shape from Moments Problem
Topic: Math
Published: 1/17/2012
Author: Gregg M. Gallatin
Abstract: We show how the Fourier transform of a shape in any number of dimensions can be simplified using Gauss' law and evaluated explicitly for polygons in two dimensions, polyhedra three dimensions, etc. We also show how this combination of Fourier and Gau ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909668



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