Since their discovery in laboratory plasmas in the 1920s, Langmuir waves have been observed to be ubiquitous in plasma environments, particularly in space plasmas. From the greater solar wind to planetary foreshocks and the auroral ionosphere,...
'Orthogonal modular forms are algebraic modular forms arising from lattices in quadratic spaces. In this thesis, we define orthogonal modular forms, establish their basic properties, and then apply them to a case of ternary quadratic spaces to...
Two localized spectroscopic imaging methods were investigated to detect and discriminate microscopic pathologies at the surface of excised breast tissues in order to improve resection completeness during breast conserving surgery. A scanning in...
As the visual effect and movie industries are striving for realism and high fidelity images, physically based lighting, global illumination, realistic materials, and highly tessellated geometry are gradually accepted and used in movie and game...
WC-1 and WC-2 are essential for most light responses in Neurospora crassa, but the molecular mechanisms underlying gene induction and the roles of other real and putative photoreceptors remain poorly characterized. Unsupervised hierarchical...
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...
We describe a set of natural image statistics that are built upon two multi-scale image decompositions, the quadrature mirror filter pyramid decomposition and the local angular harmonic decomposition. These image statistics consist of first- and...
Two-phase flow -- Mathematical models. ; Gas dynamics -- Mathematical models. ; Kinetic theory of gases.
The kinetic theory based gas-dynamical computational method, due to (Prendergast and Xu, 1993: Xu and Prendergast, 1994) is generalized to two-phase flow computations. The Bhatnagar-Gross-Krook kinetic model is generalized to the case of two...
In this work we investigate the quantum dynamics of three different configurations of nonlinear cavity systems. We begin by carrying out a quantum analysis of a dc superconducting quantum interference device (SQUID) mechanical displacement detector...
Purple sulfur bacteria (PSB) can dominate the nitrogen, carbon, and sulfur cycles in anoxic ecosystems via their anoxygenic photosynthetic metabolisms and are the only producers of the carotenoid, okenone, a biomarker targeted for photic zone...
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...
This thesis centers around a generalization of the classical discrete Fourier transform. We first present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite...
Free electron lasers -- Experiments. Wave guides -- Design and construction. Diffraction gratings -- Experiments. Electron beams. Infrared sources.
The far infrared region of the electromagnetic spectrum, 15-3000 Œºm in wavelength, has a paucity of narrow band laser sources. To address the issue of whether a grating based free electron laser could operate well as such a source, a grating...
Magnetic resonance elastography (MRE) is a technique to produce images of the mechanical properties of tissue, which are indicative of a variety of diseases. Tissue motions measured using MRI are used to solve an inverse problem to recover...
1958 ; First Row (l to r) AR Shapiro, TW Hayden, EB Houch, CA Griffiths, RW Doran, JH Lothrop, RE Lee, ER Lee, WH DAvidow, CASchneider Jr, FT Szymanski, RSWoolman, RD Bugbee. Second Row (l to r) JA Wood Jr., CF Long, MG Morgan, JJ Ermenc, WP...
This thesis presents two-fluid simulations of forced magnetic reconnection with finite electron inertia in two and three dimensional periodic systems. Reconnection in the system is driven by a spatially localized forcing function, added to the ion...
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...
Proper chromosome alignment and segregation depends on the formation and maintenance of a bipolar mitotic spindle with focused poles. It has been shown that microtubules are focused at spindle poles through the combined actions of centrosomes and a...
Sponges are a historically ambiguous taxon, often considered primitively simple representatives of early Metazoa, living fossils from the era before the complex morphological features of the bilaterian phyla appeared in the Cambrian. Yet recent...
The performance of machine learning algorithms largely depends on data representation. As a critical step in machine learning, representation learning (feature learning) learns a transformation of training data to give a new representation that can...
We start by introducing avoidance coupling of Markov chains, with an overview of existing results. We then introduce and motivate a new notion, uniform coupling. We show that the only Markovian avoidance coupling on a cycle is of this type, and...
Vibrio cholerae is a gram-negative bacterial pathogen that causes the severe diarrheal disease cholera. Several bacterial factors have been identified that are critical for V. cholerae intestinal colonization. The best characterized of these...
CYP3A has the highest affinity for oxidation of Acetaminophen (APAP) with a Km close to the concentration observed in human serum after administration of therapeutic doses of APAP. CYP3A may be induced by numerous drugs as well as alcohols. We...
Breast -- Cancer -- Tomography. ; Breast -- Cancer -- Imaging. ; Breast -- Cancer -- Diagnosis. ; Near infrared reflectance spectroscopy. ; Image processing -- Digital techniques.
Near-infrared (NIR) light has the potential to be used as a non-invasive means of diagnostic imaging within the human breast. Due to the diffusive nature of light in tissue, computational model-based methods are required for functional imaging...