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Classes of confining gauge field configurations
We present a numerical method to compute path integrals in effective SU(2)
Yang-Mills theories. The basic idea is to approximate the Yang-Mills path
integral by summing over all gauge field configurations, which can be
represented as a linear superposition of a small number of localized building
blocks. With a suitable choice of building blocks many essential features of
SU(2) Yang-Mills theory can be reproduced, particularly confinement. The
analysis of our results leads to the conclusion that topological charge as well
as extended structures are essential elements of confining gauge field
configurations.Comment: 18 pages, 16 figures, several sections adde
Nurses Alumni Association Bulletin, Fall 2008
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The pupillary response of cephalopods
This paper provides the first detailed description of the time courses of light-evoked pupillary constriction for two species of cephalopods, Sepia officinalis (a cuttlefish) and Eledone cirrhosa (an octopus). The responses are much faster than hitherto reported, full contraction in Sepia taking less than 1 s, indicating it is among the most rapid pupillary responses in the animal kingdom. We also describe the dependence of the degree of pupil constriction on the level of ambient illumination and show considerable variability between animals. Furthermore, both Sepia and Eledone lack a consensual light-evoked pupil response. Pupil dilation following darkness in Sepia is shown to be very variable, often occurring within a second but at other times taking considerably longer. This may be the result of extensive light-independent variations in pupil diameter in low levels of illumination
Thermodynamic consistency of liquid-gas lattice Boltzmann simulations
Lattice Boltzmann simulations have been very successful in simulating
liquid-gas and other multi-phase fluid systems. However, the underlying second
order analysis of the equation of motion has long been known to be insufficient
to consistently derive the fourth order terms that are necessary to represent
an extended interface. These same terms are also responsible for thermodynamic
consistency, i.e. to obtain a true equilibrium solution with both a constant
chemical potential and a constant pressure. In this article we present an
equilibrium analysis of non-ideal lattice Boltzmann methods of sufficient order
to identify those higher order terms that lead to a lack of thermodynamic
consistency. We then introduce a thermodynamically consistent forcing method.Comment: 12 pages, 8 figure
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Nurses Alumni Association Bulletin, Fall 2009
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Digital processing system for developing countries
An effort was undertaken to perform simple digital processing tasks using pre-existing general purpose digital computers. An experimental software package, LIGMALS, was obtained and modified for this purpose. The resulting software permits basic processing tasks to be performed including level slicing, gray mapping and ratio processing. The experience gained in this project indicates a possible direction which may be used by other developing countries to obtain digital processing capabilities
Flexible Tweedie regression models for continuous data
Tweedie regression models provide a flexible family of distributions to deal
with non-negative highly right-skewed data as well as symmetric and heavy
tailed data and can handle continuous data with probability mass at zero. The
estimation and inference of Tweedie regression models based on the maximum
likelihood method are challenged by the presence of an infinity sum in the
probability function and non-trivial restrictions on the power parameter space.
In this paper, we propose two approaches for fitting Tweedie regression models,
namely, quasi- and pseudo-likelihood. We discuss the asymptotic properties of
the two approaches and perform simulation studies to compare our methods with
the maximum likelihood method. In particular, we show that the quasi-likelihood
method provides asymptotically efficient estimation for regression parameters.
The computational implementation of the alternative methods is faster and
easier than the orthodox maximum likelihood, relying on a simple Newton scoring
algorithm. Simulation studies showed that the quasi- and pseudo-likelihood
approaches present estimates, standard errors and coverage rates similar to the
maximum likelihood method. Furthermore, the second-moment assumptions required
by the quasi- and pseudo-likelihood methods enables us to extend the Tweedie
regression models to the class of quasi-Tweedie regression models in the
Wedderburn's style. Moreover, it allows to eliminate the non-trivial
restriction on the power parameter space, and thus provides a flexible
regression model to deal with continuous data. We provide \texttt{R}
implementation and illustrate the application of Tweedie regression models
using three data sets.Comment: 34 pages, 8 figure
Three-dimensional pantograph for use in hazardous environments
Material measurement device is used with radioactive probes which can be approached only to distance of 3 feet. Tracer-following unit is capable of precisely controlled movement in X-Y-Z planes. Pantograph is usable in industrial processes involving chemical corrosives, poisons, and bacteriological hazards, as well as nuclear applications
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