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Topic Area: Math

Displaying records 51 to 60 of 227 records.
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51. Combining Results from Multiple Evaluations of the Same Measurand
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 12/1/2011
Authors: Raghu N Kacker, Klaus-Dieter Sommer
Abstract: According to the Guide to the Expression of Uncertainty in Measurement (GUM), a result of measurement consists of a measured value together with its associated standard uncertainty. The measured value and the standard uncertainty are interpreted as ...

52. Computing Network Reliability Coefficients
Topic: Math
Published: 12/1/2011
Authors: Elizabeth R Moseman, Isabel M Beichl, Francis Sullivan
Abstract: When a network is modeled by a graph and edges of the graph remain reliable with a given probability p, the probability of the graph remaining connected is called the reliability of the network. One form of the reliability polynomial has as coefficie ...

53. Optimality Conditions for a Hierarchical Control Problem Governed by a PDE
Topic: Math
Published: 11/15/2011
Author: Anthony J Kearsley
Abstract: We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.

54. Mean Value Formulas for Twisted Edwards Curves
Topic: Math
Published: 11/3/2011
Author: Dustin Moody
Abstract: R. Feng and H.Wu recently established a certain mean-value formula for the coordinates of the n-division points on an elliptic curve given inWeierstrass form (A mean value formula for elliptic curves, 2010, available at ...

55. A Special Functions Handbook for the Digital Age
Topic: Math
Published: 8/1/2011
Authors: Ronald F Boisvert, Charles W Clark, Daniel W Lozier, Frank William John Olver
Abstract: The NIST Digital Library of Mathematical Functions (DLMF) is a reference work providing information on the properties of the special functions of applied mathematics. It is a successor to the highly successful NBS Handbook of Mathematical Functions ( ...

56. Only non-informative Bayesian prior distributions agree with the GUM Type A evaluations of input quantities
Topic: Math
Published: 6/21/2011
Author: Raghu N Kacker
Abstract: The Guide to the Expression of Uncertainty in Measurement (GUM) is self-consistent when Bayesian statistics is used for the Type A evaluations and the standard deviation of the posterior state-of-knowledge distribution is used as the Bayesian standar ...

57. Rapid Monte Carlo SI Mulations Using Parallel Computing and a Client-server Model
Topic: Math
Published: 6/21/2011
Authors: Raghu N Kacker, Ruediger Kessel
Abstract: Processors with multiple CPU cores have become widely available. Therefore it is useful to parallelize the Monte Carlo simulation process in the context of metrology. Different approaches for parallel computing including Monte Carlo simulations are a ...

58. Division Polynomials for Jacobi Quartic Curves
Topic: Math
Published: 6/13/2011
Author: Dustin Moody
Abstract: In this paper we fi nd division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the more common Weierstrass equation. Division polynomials for Weierstrass curves are well known, and the division polynomials ...

59. On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Topic: Math
Published: 5/24/2011
Author: Howard S Cohl
Abstract: For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, derivatives for associate ...

60. Bayesian uncertainty analysis for a regression model versus application of GUM Supplement 1 to the least-squares estimate
Topic: Math
Published: 5/5/2011
Authors: Blaza Toman, Clemens Elster
Abstract: Application of least-squares as, for instance, in curve fitting is an important tool of data analysis in metrology. It is tempting to employ the supplement 1 to the GUM (GUM-S1) to evaluate the uncertainty associated with the resulting parameter esti ...

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