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Topic Area: Math

Displaying records 121 to 130 of 231 records.
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121. Grain Size Distribution in Two Dimensions in the Long Time Limit
Topic: Math
Published: 7/8/2008
Authors: Geoffrey B McFadden, C.S. Pande, K.P. Cooper
Abstract: It is shown that the inclusion of a "noise" term in the growth rate of individual grains leads to a stochastic model that provides a more realistic description of grain growth phenomenon. The resulting Fokker-Planck equation for the grain s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=152126

122. Tight Bounds for the Multiplicative Complexity of Symmetric Functions
Topic: Math
Published: 4/28/2008
Authors: Joan Boyar, Rene C Peralta
Abstract: The multiplicative complexity of a Boolean function f is defined as the minimum number of binary conjunction (AND) gates required to construct a circuit representing f , when only exclusive-or, conjunction and negation gates may be used. This article ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51208

123. Classical and Bayesian Interpretation of the Birge Test of Consistency and Its Generalized Version in Interlaboratory Evaluations
Topic: Math
Published: 4/10/2008
Authors: Raghu N Kacker, Alistair Forbes, Ruediger Kessel, K D Sommer
Abstract: The results from an interlaboratory evaluation are said to be consistent if their dispersion is not more than what can reasonably be attributed to their stated variances. A well known test of consistency in interlaboratory evaluations is the Birge te ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51220

124. Calibrating Image Roughness by Estimating Lipschitz Exponents, with Applications to Image Restoration
Topic: Math
Published: 3/3/2008
Author: Alfred S Carasso
Abstract: Most commonly occurring images f(x,y) are not smoothly differentiable functions of the variables x and y. Rather, these images display edges, localized sharp features, and other significant fine scale details or texture. Correct characterization and ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51213

125. Precession Axis Modification to a Semi-analytical Landau-Lifshitz Solution Technique
Topic: Math
Published: 2/25/2008
Authors: Donald G Porter, Michael J Donahue
Abstract: A recent article [1] presents a semianalytical method to solve the Landau Lifshitz (LL) equation. Spin motion is computed analytically as precession about the effective field H, where H is assumed fixed over the time step. However, the exchange field ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=152140

126. IPOG/IPOG-D: Efficient Test Generation for Multi-way Combinatorial Testing
Topic: Math
Published: 11/29/2007
Authors: Yu Lei, Raghu N Kacker, David R Kuhn, Vadim Okun, James F Lawrence
Abstract: We present two strategies for multi-way testing (i.e., t-way testing with t > 2). The first strategy generalizes an existing strategy, called In-Parameter-Order, from pairwise testing to multi-way testing. This strategy requires all t-way combination ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50964

127. Evolution of Modern Approaches to Express Uncertainty in Measurement
Topic: Math
Published: 11/27/2007
Authors: Raghu N Kacker, K D Sommer, Bernd Siebert
Abstract: The object of this paper is to discuss evolution of the concept of uncertainty in measurement and methods for its quantification from the classical error analysis to the modern approaches based on the Guide to the Expression of Uncertainty in Measure ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=51120

128. Modeling of Photochemical Reactions in a Focused Laser Beam
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 7/1/2007
Authors: Fern Y Hunt, Adolfas Kastytis Gaigalas, Lili Wang
Abstract: This paper presents a mathematical model of photodegradation of fluorophores passing through a laser beam. The beam is focused on the sample and thus the power distribution of incident light is strongly dependent on spatial location while the fluorop ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50915

129. A Combinatorial Testing Strategy for Concurrent Programs
Topic: Math
Published: 6/7/2007
Authors: Yu Lei, Richard Carver, Raghu N Kacker, David Kung
Abstract: One approach to testing concurrent programs is called reachability testing, which derives test sequences automatically and on-the-fly, without constructing a static model. Existing reachability testing algorithms are exhaustive in that they are inten ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50892

130. IPOG: A General Strategy for t-Way Software Testing
Topic: Math
Published: 3/29/2007
Authors: Yu Lei, Raghu N Kacker, David R Kuhn, Vadim Okun, James F Lawrence
Abstract: Most existing work on t-way testing has focused on 2-way (or pairwise) testing, which aims to detect faults caused by interactions between any two parameters. However, faults can also be caused by interactions involving more than two parameters. In t ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50944



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