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Topic Area: Math

Displaying records 181 to 190 of 227 records.
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181. Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 6596
Topic: Math
Published: 2/1/2003
Authors: B R Fabijonas, Daniel W Lozier, J M Rappoport
Abstract: The modified Bessel function K^di{nu}^{chi}, also known as the Macdonald function, finds application in the Kontorovich-Lebedev integral transform when {chi} and {nu} are real and positive. In this paper, a comparison of three codes for computing th ...

182. Dealing with Degeneracy in Triangulation
Topic: Math
Published: 11/1/2002
Authors: Francis Sullivan, Isabel M Beichl
Abstract: This is a tutorial article on a quick method for dealing with degeneracy in geometric computations with specific reference to triangulation. The type degeneracy targeted by this article that of four or more points on a circle and five or more points ...

183. Lattice Matching (LM)-Prevention of Inadvertent Duplicate Publications of Crystal Structures
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 10/1/2002
Author: Alan D. Mighell
Abstract: Lattice-matching techniques have proved to be an extremely effective for the identification of unknown crystalline materials. A commonly employed lattice-matching strategy is based on matching the reduced cell of an unknown against a database of know ...

184. Reconstructing Images of Bar Codes for Construction Site Object Recognition
Topic: Math
Published: 9/1/2002
Authors: David E. Gilsinn, Geraldine S Cheok, Dianne M O'Leary
Abstract: This paper discusses a general approach to reconstructing ground truth intensity images of bar codes that have been distorted by LADARoptics. The first part of this paper describes the experimental data collection of several bar code images along w ...

185. Conventional Cells--The Last Step Toward General Acceptance of Standard Conventional Cells for the Reporting of Crystallographic Data
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 8/1/2002
Author: Alan D. Mighell
Abstract: The Absolute Integrating Sphere Method is now used at NIST for the detector-based calibration of total luminous flux of lamps, as well as for the realization of the lumen. This method has many benefits for high-accuracy applications, allowing for me ...

186. Comparative Statistical Analysis of Test Parts Manufactured in Production Environments
Report Number: 6868
Topic: Math
Published: 6/1/2002
Authors: David E. Gilsinn, Alice V. Ling
Abstract: Estimating error uncertainties arising in parts produced on machine tools in production machine shops is not a well understood process. The current study details a process of estimating these error uncertainties. A part with significant features was ...

187. Shape-Preserving, Multi-Scale Fitting of Bivariate Data by Cubic L^d1^ Smoothing Splines
Topic: Math
Published: 5/10/2002
Authors: David E. Gilsinn, J E Lavery
Abstract: Bivariate cubic L1 smoothing splines are introduced. The coefficients of a cubic L1 smoothing spline are calculated by minimizing the weighted sum of the L1 norms ofsecond derivatives of the spline and the l1 norm of the residuals of the data-fitting ...

188. Estimating Critical Hopf Bifurcation Parameters for a Second Order DelayDifferential Equation with Application to Machine Tool Chatter
Topic: Math
Published: 5/1/2002
Author: David E. Gilsinn
Abstract: Nonlinear time delay differential equations are well known to have arisen in models in physiology, biology and population dynamics. They have also arisen in models of metal cutting processes. Machine tool chatter, from a process called regenerative c ...

189. The Role of Rendering in the Competence Project in Measurement Science for Optical Reflection and Scattering
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 5/1/2002
Authors: H B Westlund, G W Meyer, Fern Y Hunt
Abstract: Rendering is the process of producing a synthetic image using a computer. The best known application is animation and simulation of scenes for the entertainment industry but recognition of its value as a tool for product design in other areas is incr ...

190. Lattice Symmetry and Identification--The Fundamental Role of Reduced Cells in Materials Characterization
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 2/1/2002
Author: Alan D. Mighell
Abstract: In theory, physical crystals can be represented by idealized mathematical lattices. Under appropriate conditions, these representations can be used for a variety of purposes such as identifying, classifying, and understanding the physical properties ...

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