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Topic Area: Math
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Displaying records 61 to 70 of 230 records.
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61. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908330

62. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907710

63. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907685

64. 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
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908362

65. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51256

66. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907596

67. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907777

68. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=900881

69. Changes
Topic: Math
Published: 1/3/2011
Author: Isabel M Beichl
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907604

70. Recommendation for Password-Based Key Derivation Part I: Storage Applications
Series: Special Publication (NIST SP)
Report Number: 800-132
Topic: Math
Published: 12/22/2010
Authors: Meltem Sonmez Turan, Elaine B Barker, William Edward Burr, Lidong Chen
Abstract: This Recommendation specifies techniques for the derivation of master keys from passwords or passphrases to protect stored electronic data or data protection keys.
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907381



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