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Topic Area: Math

Displaying records 21 to 30 of 221 records.
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21. Reduction Formulae for Products of Theta Functions
Series: Journal of Research (NIST JRES)
Report Number: 117.017
Topic: Math
Published: 11/6/2012
Author: Peter L. Walker
Abstract: In four cases it is already known that the product of two distinct Jacobian theta functions having the same variable z and the same nome q is a multiple of a single Jacobian theta function, with the multiple independent of z. The main purpose of t ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911334

22. Definite integrals using orthogonality and integral transforms
Topic: Math
Published: 10/19/2012
Authors: Howard S Cohl, Hans Volkmer
Abstract: We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911945

23. Counting on Today's Students
Topic: Math
Published: 9/3/2012
Author: Isabel M Beichl
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911915

24. The TriTon Transformation
Topic: Math
Published: 8/27/2012
Author: Daniel Smith
Abstract: Many new systems have been proposed which hide an easily invertible multivariate quadratic map in a larger structure by adding more variables and introducing some mixing of a random component to the structured system. While many systems which have b ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911681

25. Transient Convection-Diffusion Modelling of Peak Temperature in Orthogonal Cutting
Topic: Math
Published: 8/19/2012
Authors: Timothy J Burns, Steven P Mates, Richard L. Rhorer, Eric Paul Whitenton, Debasis Basak
Abstract: Numerical finite-difference simulations of a two-dimensional transient fast convection-slow diffusion model of the temperature field in orthogonal cutting, due to Tlusty, have been shown to provide better predictions of the peak temperature during or ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910514

26. Variable Projection for Nonlinear Least Squares Problems
Topic: Math
Published: 8/2/2012
Authors: Dianne M O'Leary, Bert W Rust
Abstract: The variable projection algorithm of Golub and Pereyra (1973) has proven to be quite valuable in the solution of nonlinear least squares problems in which a substantial number of the parameters are linear. Its advantages are efficiency and, more imp ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=906612

27. Arithmetic Progressions on Huff Curves
Topic: Math
Published: 7/23/2012
Author: Dustin Moody
Abstract: We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic progression. ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908329

28. Evolutionary Construction of de Bruijn Sequences
Topic: Math
Published: 7/20/2012
Author: Meltem Sonmez Turan
Abstract: A binary de Bruijn sequence of order n is a cyclic sequence of period 2^n, in which each n-bit pattern appears exactly once. These sequences are commonly used in applications such as stream cipher design, pseudo-random number generation, 3-D pattern ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909087

29. Combinatorial Testing of ACTS: A Case Study
Topic: Math
Published: 6/1/2012
Author: Raghu N Kacker
Abstract: In this paper we present a case study of applying combinatorial testing to test a combinatorial test generation tool called ACTS. The purpose of this study is two-fold. First, we want to gain experience and insights about how to apply combinatori ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911345

30. Reconstructing the past from imprecise knowledge of the present: Some examples of non uniqueness in solving parabolic equations backward in time.
Topic: Math
Published: 5/24/2012
Author: Alfred S Carasso
Abstract: Identifying sources of ground water pollution, and deblurring astronomical galaxy images, are two important applications generating growing interest in the numerical computation of parabolic equations backward in time. However, while backward uniquen ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908242



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