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Topic Area: Modeling

Displaying records 21 to 30 of 138 records.
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21. Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Topic: Modeling
Published: 4/30/2013
Authors: Howard S Cohl, Connor M. MacKenzie
Abstract: We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating functions are accomplished through series rearrangement using connection re ...

22. Limits in Modeling Power Grid Topology
Topic: Modeling
Published: 4/29/2013
Author: Brian Dale Cloteaux
Abstract: Because of their importance to infrastructure, a number of studies have examined the structural properties of power grids and have proposed random topological models of them. We examine the ability to create generalized models of power grid structure ...

23. Modeling Scanning Electron Microscope Measurements with Charging
Topic: Modeling
Published: 4/3/2013
Author: John S Villarrubia

24. On a generalization of the generating function for Gegenbauer polynomials
Topic: Modeling
Published: 1/28/2013
Author: Howard S Cohl
Abstract: We derive a Gegenbauer polynomial expansion for complex powers of the distance between two points in $d$-dimensional Euclidean space. The argument of the Gegenbauer polynomial in the expansion is given by the cosine of the separation angle between th ...

25. Antiderivatives and integral representations of associated Legendre functions with {mu}{math equal}{+or-}{nu} equal to within a sign
Topic: Modeling
Published: 1/16/2013
Author: Howard S Cohl
Abstract: We obtain antiderivatives and complex integral representations for associated Legendre functions and Ferrers functions (associated Legendre functions on-the-cut) of the first and second kind with degree and order equal to within a sign.

26. Bubble motion and size variation during thermal migration with phase change
Topic: Modeling
Published: 1/1/2013
Authors: Asha K. Nurse, Geoffrey B McFadden, Sam Ray Coriell
Abstract: An analysis of the motion of a spherical bubble in a two-phase, single component system with a vertical linear temperature gradient is presented. The model for the migration of an immiscible bubble under the effects of buoyancy and thermocapillari ...

27. Threshold Digraphs
Topic: Modeling
Published: 12/5/2012
Authors: Brian Dale Cloteaux, Michael Drew LaMar, Elizabeth R Moseman, James Shook
Abstract: A digraph whose degree sequences have a unique vertex labeled realization is called threshold. In this paper we present several characterizations of threshold digraphs and show them to be equivalent. One of the characterizations is new, and allow ...

28. Fast Sequential Importance Sampling fo Estimate the Graph Reliability Polynomial
Topic: Modeling
Published: 11/5/2012
Authors: David G. Harris, Francis Sullivan, Isabel M Beichl
Abstract: The reliability polynomial of a graph measures the number of its connected subgraphs of various sizes. Algortihms based on sequential importance sampling (SIS) have been proposed to estimate a graph's reliahbility polynomial. We develop an improved ...

29. SysML extension for dynamical system simulation tools
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7888
Topic: Modeling
Published: 10/26/2012
Authors: Ion Matei, Conrad E Bock
Abstract: Computer-interpretable representations of system structure and behavior are at the center of designing today‰s complex systems. Engineers create and review such representations using graphical modeling languages that support specification, analys ...

30. Definite integrals using orthogonality and integral transforms
Topic: Modeling
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.

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