The Alexander polynomial is a well understood classical knot invariant with interesting symmetry properties and recent applications in knot Floer homology. There are many different ways to compute the Alexander polynomial, some involving algebraic techniques and others more geometric or combinatorial approaches. This is an interesting example of how different...
Environmental crime around the world, such as trafficking in illegal timber, is directly related to political instability. Traffickers exploit weak, fragile, and chaotic political circumstances to illegally extract high-value commodities, challenging the extent to which conservation goals are achievable in resource rich developing countries. Rosewood is the largest traded endangered...
This is a review paper based on recent literature in the areas
of spherical mirror resonators and optical mode selection. The
Fabry-Perot interferometer with spherical mirrors has been widely
used as a laser resonator. The modes of oscillation, diffraction
losses and resonance condition are determined for the confocal
resonator, i.e....
This paper develops an equation, from an heuristic set of assumptions,
which describes the axial current, leakage current, resultant
electric field, and resultant earth potential occurring when
a pipeline buried within a resistive earth is subjected to a distributed,
primary, axial, electrostatic field produced from a high-voltage, direct-current (HVDC) power...
The exponentially tapered, nonuniform transmission'
line, applied as an impedance transformer, is analyzed and
modified. The analysis develops an expression for the input
reflection coefficient that has the magnitude and phase
as distinct functions. This allows ease in comparing the
approximate and exact solutions and in developing the S-parameters for...
The objective of this thesis is to develop criteria for a data
acquisition system for electrical machinery capable of sampling a
signal every 0.2 msec with a desired accuracy of 0.1%. The system to
be measured includes both AC and DC voltage and current signals from
several points. The main...
The synchronous machine is an essential component of a power
system and determination of its parameters accurately is an
important task in securing adequate modes of operation through
certain control strategies. An estimation technique based on the
Powell algorithm was evaluated for the identification of these
parameters on the basis...
In the past two decades, a great amount of attention has been
paid to investigating the economic and safe operation of power
systems using modern mathematical techniques. The classic economic
dispatch problem, now often called the Optimal Power Flow problem,
has been formulated as a mathematical optimization problem and has...
This thesis describes calculations done to determine the radiation hazard of the current Prompt Gamma Neutron Activation Analysis (PGNAA) scattering chamber at the Oregon State TRIGA Reactor (OSTR) and compare it to the amount that would be given off by a new thin-walled chamber design. These calculations were completed with...