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Displaying records 31 to 40 of 102 records.
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31. Mean Value Formulas for Twisted Edwards Curves
Topic: Math
Published: 11/3/2011
Author: Dustin Moody
Abstract: R. Feng and H.Wu recently established a certain mean-value formula for the coordinates of the n-division points on an elliptic curve given inWeierstrass form (A mean value formula for elliptic curves, 2010, available at ...

32. Bayesian Uncertainty Analysis for a Regression Model Versus Application of GUM Supplement 1 to the Least-Squares Estimate
Topic: Math
Published: 5/5/2011
Authors: Blaza Toman, Clemens Elster
Abstract: Application of least-squares as, for instance, in curve fitting is an important tool of data analysis in metrology. It is tempting to employ the supplement 1 to the GUM (GUM-S1) to evaluate the uncertainty associated with the resulting parameter esti ...

33. Arithmetic Progressions on Edwards Curves
Topic: Math
Published: 2/8/2011
Author: Dustin Moody
Abstract: We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous ...

34. Changes
Topic: Math
Published: 1/3/2011
Author: Isabel M Beichl

35. Recommendation for Password-Based Key Derivation Part I: Storage Applications
Series: Special Publication (NIST SP)
Report Number: 800-132
Topic: Math
Published: 12/22/2010
Authors: Meltem Sonmez Turan, Elaine B Barker, William Edward Burr, Lidong Chen
Abstract: This Recommendation specifies techniques for the derivation of master keys from passwords or passphrases to protect stored electronic data or data protection keys.

36. Biological Cell Feature Identification by a Modified Watershed-Merging Algorithm
Series: NIST Interagency/Internal Report (NISTIR)
Topic: Math
Published: 11/24/2010
Authors: David E. Gilsinn, Kiran Bhadriraju, John T Elliott
Abstract: Biological cells are composed of many subsystems and organelles. The subsystem called the cytoskeleton is composed of long rod-shaped structures. They give the cell form and help attach the cell to the substrate and neighbors. One of the filaments is ...

37. Bicubic B-Spline Surface Approximation of Invariant Tori
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7731
Topic: Math
Published: 10/20/2010
Authors: Sita Ramamurti, David E. Gilsinn
Abstract: The invariant torus of a coupled system of Van der Pol oscillators is approximated using bicubic B-splines. The paper considers the case of strong nonlinear coupling. In particular, the shapes of invariant torii for the Van der Pol coupling parameter ...

38. A New Analysis of the False-Positive Rate of a Bloom Filter
Topic: Math
Published: 10/15/2010
Authors: Ken Christensen, Allen L Roginsky, Miguel Jimeno
Abstract: A Bloom filter is a space-efficient data structure used for probabilistic set membership testing. When testing an object for set membership, a Bloom filter may give a false positive. The analysis of the false positive rate is key to understanding the ...

39. Modelling Type Ia Supernova Light Curves
Topic: Math
Published: 9/15/2010
Authors: Bert W Rust, Dianne M O'Leary, Katharine M Mullen
Abstract: Type Ia supernova light curves are characterized by a rapid rise from zero luminosity to a peak value, followed by a slower quasi-exponential decline. The rise and peak last for a few days, while the decline persists for many months. It is widely b ...

40. Practical Near-Collisions for Reduced Round Blake, Fugue, Hamsi and JH
Topic: Math
Published: 8/23/2010
Authors: Meltem Sonmez Turan, Erdener Uyan
Abstract: A hash function is near-collision resistant, if it is hard to find two messages with hash values that differ in only small number of bits. In this study, we used hill climbing methods to find near-collisions for some of the second round SHA-3 candida ...

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