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Topic Area: Math

Displaying records 131 to 140 of 226 records.
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131. 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

132. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150015

133. 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
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=854230

134. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=901517

135. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=917175

136. Front Matter for Special Issue of NIST Journal of Research in honor of Christoph Witzgall
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 3/31/2006
Authors: David E. Gilsinn, Ronald F Boisvert
Abstract: This front matter for a special issue of the NIST Journal of Research contains a photograph and biography of Christoph Witzgall. It also contains a thank you paragraph by Christoph Witzgall for a symposium held in his honor. Many of the papers in thi ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150660

137. 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

138. Discrete Fourier Series Approximation to Periodic Solutions of Autonomous Delay Differential Equations
Topic: Math
Published: 1/2/2006
Author: David E. Gilsinn
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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150014

139. Coefficient of Contribution to the Combined Standard Uncertainty
Topic: Math
Published: 1/1/2006
Authors: Raghu N Kacker, Rudiger Kessel, Michael Berglund
Abstract: The International Organization for Standardization (ISO) Guide to the Expression of Uncertainty in Measurement (GUM) describes a generic procedure for determining an estimate for the measurand and its associated combined standard uncertainty from the ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150398

140. Comparison of ISO-GUM, draft GUM Supplement 1, and Bayesian statistics using simple linear calibration
Topic: Math
Published: 1/1/2006
Authors: Raghu N Kacker, Blaza Toman, Ding Huang
Abstract: We compare three approaches for quantifying uncertainty using a measurement equation: the International Organization for Standardization (ISO) Guide to the Expression of Uncertainty in Measurement (GUM), draft GUM Supplement 1, and Bayesian statistic ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150381



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