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Topic Area: Math
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Displaying records 31 to 40 of 220 records.
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31. Approximating Periodic Solutions of Autonomous Delay Differential Equations
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7375
Topic: Math
Published: 11/30/2006
Author: David E. Gilsinn
Abstract: Machine tool chatter has been characterized as isolated periodic solutions or limit cycles of delay differential equations. Determining the amplitude and frequency of the limit cycle is sometimes crucial to understanding and controlling the stability ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50885

32. 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

33. 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

34. Arithmetic Progressions on Huff Curves
Topic: Math
Published: 7/23/2012
Author: Dustin Moody
Abstract: We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic progression. ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908329

35. Artificial Intelligence Tools for Failure Event Data Management and Probability Risk Analysis for Failure Prevention
Topic: Math
Published: 10/25/2009
Authors: Jeffrey T Fong, Pedro Vincente Marcal
Abstract: Over the last thirty years, much research has been done on the development of failure event databases and fatigue modeling of crack growth in pressure vessels and piping. According to a USNRC report (NUREG/CR6674, 2000), results of a fatigue crack g ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=903592

36. Assessing differences between results determined according to the Guide to the Expression of Uncertainty in Measurement
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 12/1/2010
Authors: Raghu N Kacker, Ruediger Kessel, Klaus-Dieter Sommer
Abstract: When the data consist of multiple results of measurement for a common measurand, often one needs to determine whether the results agree with each other. A result of measurement based on the Guide to the Expression of Uncertainty in Measurement (GUM) ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=906548

37. Attractors, Chain Transitive Sets and Invariant Measures
Topic: Math
Published: 9/15/2000
Author: Fern Y Hunt
Abstract: This paper discusses an easy to implement procedure for approximating the long time behavior of iterates of maps. Applications include to finding the roots of a complex polynomial and approximating attractors. The method uses the theory of Markov ch ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150780

38. Basic Linear Algebra Operations in SLI Arithmetic
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 5811
Topic: Math
Published: 3/1/1996
Authors: M M Anuta, Daniel W Lozier, N Schabanel, P R Turner
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=900785

39. Bayesian Alternative to the Guide's Use of the Welch-Satterthwaite Formula
Topic: Math
Published: 1/3/2006
Author: Raghu N Kacker
Abstract: The Guide to the Expression of Uncertainty in Measurement suggests that to account for the statistical uncertainty in a combined standard uncertainty that arises when one or more of its components are evaluated from a limited number of independent no ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150900

40. Bayesian Posterior Predictive p-value of Statistical Consistency in Interlaboratory Evaluations
Topic: Math
Published: 9/17/2008
Authors: Raghu N Kacker, Alistair Forbes, Ruediger Kessel, K D Sommer
Abstract: Results from an interlaboratory evaluation are said to be statistically consistent if they fit a normal (Gaussian) consistency model which postulates that the results have the same unknown expected value and stated variances and covariances. We prop ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150672



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