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Displaying records 11 to 20 of 230 records.
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11. On integer solutions of x^4+y^4-2z^4-2w^4=0
Topic: Math
Published: 9/18/2013
Authors: Dustin Moody, Arman Shamsi Zargar
Abstract: In this article, we study the quartic Diophantine equation x^4+y^4-2z^4-2w^4=0. We find non-trivial integer solutions. Furthermore, we show that when a solution has been found, a series of other solutions can be derived. We do so using two dif ...

12. Character sums determined by low degree isogenies of elliptic curves
Topic: Math
Published: 7/25/2013
Authors: Dustin Moody, Christopher Rasmussen
Abstract: We look at certain character sums determined by isogenies on elliptic curves over finite fields. We prove a congruence condition for character sums attached to arbitrary cyclic isogenies, and produce explicit formulas for isogenies of degree m <= 8.

13. Four Measures of Nonlinearity
Topic: Math
Published: 6/23/2013
Authors: Joan Boyar, Magnus Find, Rene C Peralta
Abstract: Cryptographic applications, such as hashing, block ciphers and stream ciphers, make use of functions which are simple by some criteria (such as circuit implementations), yet hard to invert almost everywhere. A necessary condition for the latter prope ...

14. 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 ...

15. A General Conformance Testing Framework for IEEE 11073 PHD's Communication Model
Topic: Math
Published: 5/31/2013
Authors: Raghu N Kacker, Linbin Yu, Yu Lei, David R Kuhn, Ram D Sriram, Kevin G Brady
Abstract: ISO/IEEE 11073 Personal Health Data (IEEE 11073 PHD) is a set of standards that addresses the interoperability of personal healthcare devices. As an important part of IEEE 11073 PHD, ISO/IEEE 1107-20601 optimized exchange protocol (IEEE 11073-20601) ...

16. Applied and Computational Mathematics Division Applied and Computational Mathematics Division: Summary of Activities for Fiscal Year 2012
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7931
Topic: Math
Published: 5/9/2013
Author: Ronald F Boisvert
Abstract: This report summarizes the technical work of the Applied and Computational Sciences Division of NIST‰s Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Division‰s activities, including highlights of tech ...

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 ...

18. Determining Mechanical Reliability of Brittle Materials
Topic: Math
Published: 4/18/2013
Authors: Stephen W. Freiman, Jeffrey T Fong
Abstract: The widespread existence of slow crack growth in most glasses and ceramics due to a stress-enhanced reaction between an external environment and strained bonds at a crack tip greatly complicates the challenge of assuring the reliability of components ...

19. An Input Space Modeling Methodology for Combinatorial Testing
Topic: Math
Published: 3/22/2013
Authors: Mehra N. Borazjany, Laleh Ghandehari, Yu Lei, Raghu N Kacker, David R Kuhn
Abstract: The input space of a system must be modeled before combinatorial testing can be applied to this system. The effectiveness of combinatorial testing to a large extent depends on the quality of the input space model. In this paper we introduce an input ...

20. Applying Combinatorial Testing to the Siemens Suite
Topic: Math
Published: 3/22/2013
Authors: Laleh Ghandehari, Mehra N. Borazjany, Yu Lei, Raghu N Kacker, David R Kuhn
Abstract: Combinatorial testing has attracted a lot of attention from both industry and academia. A number of reports suggest that combinatorial testing can be effective for practical applications. However, there still seems to lack systematic, controlled stud ...

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