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Topic Area: Math

Displaying records 21 to 30 of 225 records.
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21. Indifferentiability Security of the Fast Widepipe Hash: Breaking the Birthday Barrier
Topic: Math
Published: 12/2/2012
Authors: Dustin Moody, Daniel C Smith-Tone, Souradyuti Paul
Abstract: A hash function secure in the indi fferentiability framework is able to resist all generic attacks. Such hash functions also play a crucial role in the security of the protocols that use hash functions as random functions. The rate of a hash mode is ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911449

22. The Radius of Attraction for Newton's Method and TV-Minimization Image Denoising
Topic: Math
Published: 12/1/2012
Authors: Luis A Melara, Anthony J Kearsley
Abstract: This paper presents an estimate of the radius of convergence for Newton‰s method applied to a regularized TV-minimization problem often employed to denoise images. Strong Fréchet differentiability of this iteration is established and an estimate of t ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911907

23. Class Numbers via 3-Isogenies and Elliptic Surfaces
Topic: Math
Published: 11/6/2012
Authors: Cam McLeman, Dustin Moody
Abstract: We show that a character sum attached to a family of 3-isogenies defi ned on the fibers of a certain elliptic surface over Fp relates to the class number of the quadratic imaginary number field Q(\sqrt{p}). In this sense, this provides a higher-d ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911885

24. 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

25. 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

26. 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

27. The TriTon Transformation
Topic: Math
Published: 8/27/2012
Author: Daniel C Smith-Tone
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

28. 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

29. 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

30. 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



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