The Euler '-function and Carmichael -function are extremely important in modern number theory, and much work has been devoted to studying the distribution and arithmetic properties of the values of each function. One interesting unresolved question...
Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
Antibodies are known to be a primary correlate of protection in almost all current vaccines, and thus evaluating the antibody response is of critical importance in attempting to predict the efficacy of novel vaccine candidates. Historically...
The purpose of this thesis is to describe methods for detecting hidden crevasses on glaciers in Polar regions. Crevasses form in ice sheets as a result of forces imposed upon the brittle ice. The crevasses are hidden from view by bridges of soft...
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
Coherent states. Quantum field theory. Nonlinear theories.
In this thesis we study the properties of time-dependent, nontopological configurations and their effect on the macroscopic properties of a system described by a nonlinear field theory. These structures seem to be ubiquitous in relativistic field...
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...
A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors...
In Chapter 2 we look at the distribution of permutation statistics in the context of pattern-avoiding permutations. The first part of this chapter deals with a recursively defined bijection of Robertson [37] between 123- and 132-avoiding...
Developmental prosopagnosia (DP) is a neurodevelopmental disorder defined by impaired face recognition in the absence of brain damage, low-level visual deficits, or broad cognitive problems. Behavioral and neural findings suggest different types of...
Flexible fiber scopes are widely used in industry and medicine. Typical scopes are made using conventional optical components and order-packed flexible image bundles. The optical performance of a flexible scope is largely determined by that of the...
The BCL2 family of proteins control intrinsic apoptosis at the mitochondria through a delicate balance of pro and anti-apoptotic proteins. Anti-apoptotic proteins are frequently relied upon by cancer cells, making them ideal targets for...
Molecular imaging of cancer features is a critical part of advancing better tools for oncology management and drug discovery, yet it is still evolving as a useful tool. Diffuse Fluorescence Tomography (FT) is one approach to molecular imaging, used...
Fir waves are spatially and temporally repeating patterns of stand development and destruction in subalpine, balsam fir-dominated forests of the northeastern United States, perpetuated by downwind migration of strips of dying trees, "dieback...
Red milkweed beetle. Insects -- Flight. Insects -- Dispersal.
Most detailed studies of insect flight and dispersal have used long flying species as subjects. Little is known of the flight ecology of comparatively short flying species. This thesis reports the findings of a 4 year study of the flight behavior...
Electric generators -- Windings. Electric inductors -- Design and construction -- Mathematical models. Electric current converters -- Design and construction -- Mathematical models. Energy dissipation -- Mathematical models.
Magnetic components for high-frequency power conversion applications can have significant losses that compromise the performance of the converter. In particular, winding losses can be large due to high-frequency effects that are difficult to model...
Elevated sympathetic discharge from the CNS is an underlying pathogenic mechanism in neurogenic hypertension and an exacerbating factor in chronic heart failure (CHF). Current treatment of these diseases focuses on attenuation of the downstream...
The oculomotor system needs up-to-date information about eye position in order to make accurate saccades to stimuli in the environment. This thesis investigated how well the oculomotor system uses information about eye position to make a variety of...
Information resources management -- Mathematical models. ; Database management -- Methodology. ; Change. ; World Wide Web.
Many modern information management tasks consist of an observer that must maintain current knowledge of a collection of changing information. The goal of this observer is to maintain acceptably accurate state estimates given limited observation...
Interleukin-2 (IL-2) is an immunoregulatory cytokine whose biological effects are mediated through interaction with specific receptors (IL-2R) on the surface of target cells. Due to its presumed role in generating a normal immune response, IL-2 is...
Type 4 prepilins and prepilin-like-proteins are secreted by a wide range of bacterial species and are required for a variety of functions including type 4 pilus (Tfp) formation, toxin and other enzyme secretion, gene transfer, and biofilm...