# Publications Portal

**You searched on:**

Topic Area: Math

Sorted by: date

Displaying records 51 to 60 of 220 records.

Resort by: Date / Title

51.

**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

...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907999
52.

**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

...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909264
53.

**Division Polynomials for Jacobi Quartic Curves**
**Topic:** Math

**Published:** 6/13/2011

**Author:** Dustin Moody

**Abstract:** In this paper we 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 w

...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908330
54.

**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
55.

**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
56.

**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
57.

**A Survey of Binary Covering Arrays**
**Topic:** Math

**Published:** 4/7/2011

**Authors:** James F Lawrence, Raghu N Kacker, 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
58.

**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
59.

**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
60.

**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