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Topic Area: Math
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Displaying records 131 to 140 of 231 records.
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131. Trapezoidal and Triangular Distributions for Type B Evaluation of Standard Uncertainty
Topic: Math
Published: 2/26/2007
Authors: Raghu N Kacker, James F Lawrence
Abstract: A Type B standard uncertainty is determined from a probability distribution specified by scientific judgment based on all available information. The ISO-GUM discusses symmetric distributions only. Sometimes an asymmetric distribution is needed. We de ...

132. Computable Error Bounds for Approximate Periodic Solutions of Autonomous Delay Differential Equations
Topic: Math
Published: 1/2/2007
Author: David E. Gilsinn
Abstract: In this paper we prove a result that says: Given an approximate solution and frequency to a periodic solution of an autonomous delay differential equation that satisfies a certain non-criticality condition, there is an exact periodic solution and fre ...

133. Comments on 'Bayesian evaluation of comparison data' by Ignacio Lira
Topic: Math
Published: 1/1/2007
Authors: Raghu N Kacker, Blaza Toman
Abstract: A recent paper by Ignacio Lira in Metrologia 43 (2006) S231-S234 addresses a well-known problem in combining information from interlaboratory evaluations. Lira presents an expression, which he claims to be the kernel of a Bayesian posterior probabili ...

134. Random-Effects Model for Meta-analysis of Clinical Trials: An Update
Topic: Math
Published: 1/1/2007
Authors: Rebecca DerSimonian, Raghu N Kacker
Abstract: The random-effects model is a useful approach for meta-analysis of clinical studies. It explicitly accounts for the heterogeneity of studies through a statistical parameter representing the inter-study variation. We discuss several iterative and non- ...

135. Review of Understanding and Implementing the Finite Element Method
Topic: Math
Published: 1/1/2007
Author: William F Mitchell
Abstract: This paper reviews the book "Understanding and Implementing the Finite Element Method" by Mark S. Gockenbach.

136. 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 ...

137. Integral Operators and Delay Differential Equations
Topic: Math
Published: 10/1/2006
Authors: David E. Gilsinn, Florian A Potra
Abstract: We begin this expository essay by reviewing with examples what a typical engineer already knows about statistics. We then consider a central question in engineering decision making, i.e., given a computer simulation of high-consequence systems, how ...

138. Ambiguities in Powder Indexing: The Impact of a Quaternary Lattice Metric Singularity on the Characterization of Mawsonite and Chartkalite
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 9/1/2006
Author: Alan D. Mighell

139. Minimum-Phase Calibration of Sampling Oscilloscopes
Topic: Math
Published: 8/15/2006
Authors: Andrew M Dienstfrey, Paul D Hale, Darryl A. Keenan, Tracy S. Clement, Dylan F Williams
Abstract: We describe an algorithm for determining the minimum phase of a linear time-invariant response function from its magnitude. The procedure is based on Kramers Kronig relations in combination with auxiliary direct measurements of the desired phase resp ...

140. Pseudo-Exhaustive Testing for Software
Topic: Math
Published: 4/28/2006
Authors: David R Kuhn, Vadim Okun
Abstract: Pseudo-exhaustive testing uses the empirical observation that, for broad classes of software, a fault is likely triggered by only a few variables interacting. The method takes advantage of two relatively recent advances in software engineering: algor ...

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