For ordinary knots in R 3 , there are no degree one Vassiliev invariants. For virtual knots, however, the space of degree one Vassiliev invariants is infinite dimensional. We introduce a sequence of three degree one Vassiliev invariants of virtual...
Motivated by the goal of investigating the dynamics of the electroweak phase transition in the early Universe, a study of dynamical aspects of nonlinear field-theoretical systems is performed. Symmetric and asymmetric double-well potentials in the...
Functional neuroimaging has confirmed a high degree of localization of function in the cerebral cortex of man. In contrast, microstructural analysis has contributed very little to the topographical characterization of cortical areas. In this work I...
Human locomotion -- Computer-assisted instruction. ; Real-time data processing. ; Human-computer interaction.
Teaching physical motions such as riding, exercising, swimming, etc. to human beings is hard. Coaches face difficulties in communicating their feedback verbally and cannot correct the student mid-action; teaching videos are two dimensional and...
Modern distributed systems scatter sensors, storage, and computation throughout the environment. Ideally these devices communicate and share resources, but there is seldom motivation for a device''s owner to yield control to another user. We...
Coding theory. Characters of groups. Error-correcting codes (Information theory). Polynomials.
We introduce vector-valued character theory, a higher dimensional generalization of character theory. We then use vector-valued characters to extend the MacWilliams equivalence theorem for linear codes to a class of additive codes, called...
Medical imaging methods have become increasingly important in diagnosing diseases and assisting therapeutic treatment. In particular, early detection of breast cancer is considered as a critical factor in reducing the mortality rate of women....
Strong evidence exists showing that stellar evolution models are unable to accurately predict the fundamental properties of low-mass stars. Observations of low-mass stars in detached eclipsing binaries (DEBs) indicate that stellar models...
The essential QSR1 gene in Saccharomyces cerevisiae is a member of a highly conserved family of genes found in eukaryotic and archaebacterial cells. QSR1 was discovered by its synthetic lethal relationship with QCR6, the nuclear encoded gene for...
Climatic geomorphology -- Sierra Nevada (California and Nevada). ; Slopes (Physical geography) -- Sierra Nevada (California and Nevada). ; Weathering -- Sierra Nevada (California and Nevada). ; Chemical denudation -- Sierra Nevada (California and...
Landscapes evolve in response to external forcings such as climate and tectonics that influence the pace and patterns of erosion and weathering processes. Furthermore, internal feedbacks between erosion and weathering regulate the expression of...
Protein kinase C activators and microtubule damaging drugs stimulate BCL2 phosphorylation, which has been associated with either enhancement or inhibition of cell viability. In a Burkitt lymphoma cell line, both types of agents likewise stimulated...
In this thesis, we study the dynamics of magnetic flows on compact nilmanifolds. Magnetic flows are generalizations of geodesic flows. They model the motion of a particle of unit mass and unit charge in a smooth manifold M in the presence of a...
Van Allen radiation belts -- Mathematical models. ; Magnetosphere -- Mathematical models. ; Magnetohydrodynamics -- Mathematical models.
The physics of geomagnetically-trapped radiation has been a topic of interest since the discovery of the Van Allen belts in 1958. As the energetic particles comprising these belts can pose a hazard to human activity in space, considerable effort...
Quantum wires and dots can be created by patterning inhomogeneous strain on semiconductor quantum wells. I have used laser spectroscopic methods to study the carrier transfer from the host quantum well to quantum wires and dots. For quantum dot...
Measurement of the ionospheric thermal particle population bridges the two different communities of ground-based radar and space-based rocket studies, which have the common goal of characterizing heavy ion transport in the cusp/cleft region. We...
Partially ordered sets. ; Convex polytopes. ; Representations of groups.
This thesis deals with geometric representations of ordered sets. In a geometric representation, each element of the ordered set is assigned a geometric object, with two elements incomparable in the ordered set if and only if the corresponding...
The Arabidopsis catalase gene family contains at least three genes, encoding subunits which combine in tetramers to form 7 detectable isozymes. Two of these genes are within 250 bp of each other at a single locus (CAT3/1) near the top of chromosome...