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Displaying records 121 to 130 of 244 records.
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121. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems
Topic: Math
Published: 6/5/2013
Author: Howard S Cohl
Abstract: We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series representations we derive Fouri ...

122. 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 ...

123. Generation of Lattice Wannier Functions via Maximum Localization
Topic: Math
Published: 3/1/2005
Author: Eric J Cockayne

124. 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 ...

Series: Journal of Research (NIST JRES)
Report Number: 118.010
Topic: Math
Published: 4/25/2013
Author: Alfred S Carasso
Abstract: Identifying sources of ground water pollution, and deblurring nanoscale imagery, as well as astronomical galaxy images, often involves the numerical computation of parabolic equations backward in time. However, very little computational experien ...

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 ...

127. 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 ...

128. Identifying Failure-Inducing Combinations in a Combinatorial Test Set
Topic: Math
Published: 4/17/2012
Author: Raghu N Kacker

129. Improved Indifferentiability Security Bound for the JH Mode
Topic: Math
Published: 3/22/2012
Authors: Dustin Moody, Souradyuti Paul, Daniel C Smith-Tone
Abstract: The JH hash function is one of the five fi nalists of the ongoing NIST SHA3 hash function competition. Despite several earlier attempts, and years of analysis, the indi fferentiability security bound of the JH mode has so far remained remarkably lo ...

130. Improved Indifferentiability Security Bound for the JH Mode
Topic: Math
Published: 2/15/2015
Authors: Dustin Moody, Daniel C Smith-Tone, Souradyuti Paul
Abstract: Indifferentiability security of a hash mode of operation guarantees the mode's resistance against all generic attacks. It is also useful to establish the security of protocols that use hash functions as random functions. The JH hash function is one o ...

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