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Topic Area: Modeling
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Displaying records 61 to 70 of 135 records.
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61. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems
Topic: Modeling
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

62. Front Matter for Special Issue of NIST Journal of Research in honor of Christoph Witzgall
Series: Journal of Research (NIST JRES)
Topic: Modeling
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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150660

63. Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Topic: Modeling
Published: 11/29/2011
Author: Howard S Cohl
Abstract: Due to the isotropy of $d$-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. The $R$-radius hypersphere ${\mathbf S}_R^d$ with $R>0$, represents ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909273

64. Gauging the Repeatability of 3D Imaging Systems by Sphere Fitting
Topic: Modeling
Published: 9/30/2009
Authors: Marek Franaszek, Geraldine S Cheok, Kamel Shawki Saidi
Abstract: Multiple scans of the same object acquired with 3D imaging system (e.g., laser scanner) in the same experimental conditions could provide valuable information about the instrument s performance (e.g., stability, existence of bias, measurement error). ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=903444

65. Generalization and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals
Topic: Modeling
Published: 1/15/2014
Authors: Howard S Cohl, Connor M. MacKenzie
Abstract: In this paper we generalize and specialize generating functions for classical orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre polynomials. We derive a generalization of the generating function for Gegenbauer polynomials thro ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911943

66. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912037

67. Hybrid shape descriptor and meta similarity generation for non-rigid and partial 3D model retrieval
Topic: Modeling
Published: 7/26/2013
Author: Afzal A Godil
Abstract: Non-rigid and partial 3D model retrieval are two significant and challenging research directions in the field of 3D model retrieval. Little work has been done in proposing a hybrid shape descriptor that works for both retrieval scenarios, let alone ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913720

68. In Search of Enhanced Electrolyte Materials: A Case Study of Doubly Doped Ceria
Topic: Modeling
Published: 10/28/2011
Authors: Pratik Dholabhai, James B. Adams, Peter A. Crozier, Renu Sharma
Abstract: Various compositions of gadolinium-praseodymium doubly doped ceria (GPDC) have been studied to appreciate the effect of two co-dopants in enhancing the ionic conductivity. A Kinetic Lattice Monte Carlo (KLMC) model of vacancy diffusion in GPDC has be ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909021

69. Integral Operators and Delay Differential Equations
Topic: Modeling
Published: 10/1/2006
Authors: David E. Gilsinn, Florian A Potra
Abstract: We begin this expository essay by reviewing with examples what a typical engineer already knows about statistics. We then consider a central question in engineering decision making, i.e., given a computer simulation of high-consequence systems, how ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150015

70. LDPC Error Correction in the Context of Quantum Key Distribution
Topic: Modeling
Published: 4/23/2012
Author: Anastase Nakassis
Abstract: Secret keys can be established through the use of Quantum channels monitored through classical channels which can be thought of as being error free. Because many of the feasible implementation of the quantum channel are subject to erasures ‹often mas ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910418



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