NIST logo

Publications Portal

You searched on: Topic Area: Math

Displaying records 61 to 70 of 243 records.
Resort by: Date / Title

61. 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 ...

62. 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 ...

63. 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 ...

64. 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 ...

65. 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 ...

66. 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 ...

67. Combining Results from Multiple Evaluations of the Same Measurand
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 12/1/2011
Authors: Raghu N Kacker, Klaus-Dieter Sommer
Abstract: According to the Guide to the Expression of Uncertainty in Measurement (GUM), a result of measurement consists of a measured value together with its associated standard uncertainty. The measured value and the standard uncertainty are interpreted as ...

68. Computing Network Reliability Coefficients
Topic: Math
Published: 12/1/2011
Authors: Elizabeth R. Moseman, Isabel M Beichl, Francis Sullivan
Abstract: When a network is modeled by a graph and edges of the graph remain reliable with a given probability p, the probability of the graph remaining connected is called the reliability of the network. One form of the reliability polynomial has as coefficie ...

69. Optimality Conditions for a Hierarchical Control Problem Governed by a PDE
Topic: Math
Published: 11/15/2011
Author: Anthony J Kearsley
Abstract: We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.

70. 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 ...

Search NIST-wide:

(Search abstract and keywords)

Last Name:
First Name:

Special Publications:

Looking for a NIST Special Publication (NIST SP Series)? Place the series number and dash in the report number field (Example: 800-) and begin your search.

  • SP 250-XX: Calibration Services
  • SP 260-XX: Standard Reference Materials
  • SP 300-XX: Precision Measurement and Calibration
  • SP 400-XX: Semiconductor Measurement Technology
  • SP 480-XX: Law Enforcement Technology
  • SP 500-XX: Computer Systems Technology
  • SP 700-XX: Industrial Measurement Series
  • SP 800-XX: Computer Security Series
  • SP 823-XX: Integrated Services Digital Network Series