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Topic Area: Math

Displaying records 61 to 70 of 231 records.
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61. 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 ...

62. 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 ...

63. 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 ...

64. 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 ...

65. Reconstructing the Past From Imprecise Knowledge of the Present: Some Examples of Non Uniqueness in Solving Parabolic Equations Backward in Time
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7783
Topic: Math
Published: 4/13/2011
Author: Alfred S Carasso

66. A Survey of Binary Covering Arrays
Topic: Math
Published: 4/7/2011
Authors: James F Lawrence, Raghu N Kacker, Yu Lei, David R Kuhn, Michael Forbes
Abstract: Two-valued covering arrays of strength t are 0--1 matrices having the property that for each t columns and each of the possible 2t sequences of t 0's and 1's, there exists a row having that sequence in that set of t columns. Covering arrays are an im ...

67. Arithmetic Progressions on Edwards Curves
Topic: Math
Published: 2/8/2011
Author: Dustin Moody
Abstract: We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous ...

68. Applied and Computational Mathematics Division Summary of Activities for Fiscal Year 2010
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7762
Topic: Math
Published: 2/2/2011
Author: Ronald F Boisvert
Abstract: This report summarizes the technical work of the Applied and Computational Sciences Division (ACMD) of NIST s Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Division s activities, including highlights of ...

69. Approximating the Number of Bases for Almost All Matroids
Topic: Math
Published: 2/1/2011
Author: Brian Dale Cloteaux
Abstract: We define a class of matroids A for which a fully polynomial randomized approximation scheme (fpras) exists for counting the number of bases of the matroids. We then show that as the number of elements in a matroid increases, the probability that a m ...

70. Changes
Topic: Math
Published: 1/3/2011
Author: Isabel M Beichl

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