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Mathematics & Statistics

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Displaying 401 - 425 of 473

Web-Based 3D Visualization in a Digital Library of Mathematical Functions

November 1, 2004
Author(s)
Qiming Wang, Bonita V. Saunders
The National Institute of Standards and Technology (NIST) is developing a digital library of mathematical functions to replace the widely used National Bureau of Standards Handbook of Mathematical Functions published in 1964 [1]. The NIST Digital Library

Pose of I-Beams for Construction Site Automation

September 21, 2004
Author(s)
David E. Gilsinn, Geraldine S. Cheok, Alan M. Lytle
Automation of construction processes can result in reduced project costs and increased worker safety. A process that lends itself to automation is the picking and placing of objects. However, determining the pose (position and orientation) of an object is

Tool Length-Dependent Stability Surfaces

April 20, 2004
Author(s)
T L. Schmitz, J C. Ziegert, Timothy J. Burns, Brian S. Dutterer, W R. Winfough
This paper describes the development of three-dimensional stability surfaces, or maps, that combine the traditional dependence of allowable (chatter-free) chip width on spindle speed with the inherent dependence on tool overhang length, due to the

Parallel Programming with Interoperable MPI

February 1, 2004
Author(s)
William L. George, John G. Hagedorn, J E. Devaney
In this article we describe IMPI (Interoperable Message Passing Interface), a message passing protocol that allows you to easily run parallel programs across multiple clusters, SMPs (symmetric multiprocessors), parallel machines, personal computers, and

Approximating Limit Cycles of a Van der Pol Equation with Delay

January 15, 2004
Author(s)
David E. Gilsinn
In this paper a theorem of Stokes is used to establish the existence of a periodic solution of a Van der Pol equation with fixed delay in the neighborhood of an approximating solution that satisfies a certain noncriticality condition.

Using Nonoscillatory Splines to Model Urban Environments

January 15, 2004
Author(s)
David E. Gilsinn, Marjorie A. McClain, Christoph J. Witzgall
In this paper we introduce the notion of Lavery splines and examine their properties in the univariate case. We also discuss some of the details involved with computing these splines on irregularly spaced data.

The Dilogarithm Function for Complex Argument

November 8, 2003
Author(s)
L C. Maximon
This paper summarizes the basic properties of the Euler dilogarithm function, often referred to as the Spence function. These include integral representations, series expansions, linear and quadratic transformations, functional relations, numerical values

Deconvolving LADAR Images Of Bar Codes for Construction Site Object Recognition

October 1, 2003
Author(s)
David E. Gilsinn, Geraldine S. Cheok, Dianne M. O'Leary
This report discusses a general approach to reconstructing ground truth intensity images of bar codes that have been distorted by LADAR optics. The first part of this report describes the experimental data collection of several bar code images along with

An Optimization Approach to Multiple Sequence Alignment

July 1, 2003
Author(s)
Fern Y. Hunt, Anthony J. Kearsley, H H Wan
The problem of multiple sequence alignment is recast as an optimization problem using Markov decision theory. One seeks to minimize the expected or average cost of alignment subject to data-derived constraints. In this setting the problem is equivalent to

NIST Digital Library of Mathematical Functions

May 1, 2003
Author(s)
Daniel W. Lozier
NIST (formerly, National Bureau of Standards) has started an ambitious project that aims to produce a successor to Abramowitz and Stegun's {\em Handbook of Mathematical Functions}, published by the National Bureau of Standards in 1964 and reprinted by

Separating Signal From Noise in Global Warming

March 12, 2003
Author(s)
Bert W. Rust
One argument often used against global warming is that the global temperature record is too noisy to allow a clear determination of the signal. This paper presents two models for the signal which suggest that: (1) the warming is accelerating, (2) the
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