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Topic Area: Math
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Displaying records 41 to 50 of 227 records.
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41. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910702

42. An Evaluation of Local Shape Descriptors for 3D Shape Retrieval
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7812
Topic: Math
Published: 3/8/2012
Author: Sarah Y. Tang
Abstract: As the usage of 3D models increases, so does the importance of developing accurate 3D shape retrieval algorithms. Most prominently, shape descriptors are used to describe the geometric and topological properties of objects and compared to determine t ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909219

43. Light a Single Candle: Studying Supernovae
Topic: Math
Published: 3/1/2012
Authors: Dianne M O'Leary, Bert W Rust
Abstract: At peak luminosity, Type Ia supernovae can be even brighter than their parent galaxies, and their light curves display a very uniform and regular behavior. This makes them excellent candidates for a role as standard candles in measuring the distance ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910233

44. TABLE ERRATA for Magnus, Oberhettinger & Soni (1966): Formulas and Theorems for the Special Functions of Mathematical Physics
Topic: Math
Published: 2/16/2012
Author: Howard S Cohl
Abstract: A TABLE ERRATA is submitted concerning a formula in terms of a sum of two Gauss hypergeometric functions for Ferrers function of the second kind. This error occurs on p. 167 of Magnus, Oberhettinger & Soni (1966) Formulas and Theorems for the Special ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909311

45. Towards a Metric for Communication Network Vulnerability to Attacks: A Game Theoretic Approach
Topic: Math
Published: 2/13/2012
Authors: Assane Gueye, Vladimir V Marbukh
Abstract: In this paper, we propose a quantification of the vulnerability of a communication network when links are subject to failures due to the actions of a strategic adversary. We model the adversarial nature of the problem as a 2-player game between a net ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910926

46. Families of Elliptic Curves with Rational 3-torsion
Topic: Math
Published: 1/30/2012
Authors: Dustin Moody, Hongfeng Wu
Abstract: In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of Fq-isogeny ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909543

47. Fourier, Gauss, Fraunhofer, Porod and the Shape from Moments Problem
Topic: Math
Published: 1/17/2012
Author: Gregg M. Gallatin
Abstract: We show how the Fourier transform of a shape in any number of dimensions can be simplified using Gauss' law and evaluated explicitly for polygons in two dimensions, polyhedra three dimensions, etc. We also show how this combination of Fourier and Gau ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909668

48. Mathematical Optimization of Procedures for Cryoprotectant Equilibration Using a Toxicity Cost Function
Topic: Math
Published: 1/10/2012
Authors: Adam Zachary Higgins, James Benson, Anthony J Kearsley
Abstract: Cryopreservation nearly universally depends on the equilibration of cells and tissues with high concentrations of permeating chemicals known as cryoprotective agents, or CPAs. Despite their protective properties, CPAs can cause damage as a result of ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910486

49. Counting the Leaves of Trees
Topic: Math
Published: 12/19/2011
Authors: Brian Dale Cloteaux, Luis A. Valentin
Abstract: A number of important combinatorial counting problems can be reformulated into the problem of counting the number of leaf nodes on a tree. Since the basic leaf-counting problem is #P-complete, there is strong evidence that no polynomial time algorith ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908869

50. Linear Algebra and Sequential Importance Ssampling for Network Reliability
Topic: Math
Published: 12/11/2011
Authors: David G. Harris, Francis Sullivan, Isabel M Beichl
Abstract: The reliability polynomial of a graph gives the probability that a graph is connected as a function of the probability that each edge is connected. The coefficients of the reliability polynomial count the number of connected subgraphs of various size ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909109



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