We present aligned hierarchies, a novel solution to the dimension reduction problem, representing high-dimensional and noisy sequential data as a low-dimensional object that encodes relevant information. In this thesis, we motivate our presentation...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
This thesis investigates a notion of Turing reducibility introduced by Winkler [8] that is total on all computably enumerable oracles. Groszek and Weber show in [7] that this is a new notion of reducibility and it is not transitive. They give su...
Early renal changes during diabetes include sodium (Na) retention and renal hypertrophy. Tumor Necrosis Factor (TNF) is elevated during diabetes and is implicated in the pathogenesis of diabetic nephropathy. We tested the hypothesis that TNF...
Our daily lives are pervaded by sounds, predominantly speech, music, and environmental sounds. We readily recognize and categorize such sounds. Our understanding of how the brain so effortlessly recognizes and categorizes sounds is still...
Recent years have witnessed a new class of monitoring applications that need to continuously collect information from remote data sources. Those data sources, such as web click-streams, stock quotes, and sensor data, are often characterized as...
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...
Casimir effect. Zero-point field. Electric conductivity. Quantum electrodynamics.
The Casimir force arises from an alteration of boundary condition in vacuum and is often regarded as a manifestation of quantum zero point energy. Considerable progress has been made in the last decade with an impressive achievement of experimental...
Ice mechanics. Compressibility. Fracture mechanics. Strains and stresses. Brittleness.
This work describes the effect of triaxial compressive confinement on the strength of columnar S2 ice loaded under conditions leading to brittle failure. Cubes of columnar S2 ice were tested at -10 °C under triaxial (proportional) loading where...
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...
Clinical medicine -- Decision making. ; Medical informatics. ; Patient participation. ; Osteoarthritis -- Treatment. ; Knee -- Diseases -- Treatment. ; Decision Making. ; Decision Support Techniques.
Problem Statement. Effective patients' decision aids (PtDAs) help patients understand clinical information and reduce decisional conflict. PtDAs that also explicitly provide guidance through four """"Deliberative Steps"""" may achieve additional...
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...
In this dissertation, I present an examination of the role of two biotic interactions in the population dynamics of Vibrio cholerae. Traits with a genetic basis such as size, physiological processes, stress tolerance, and even behavior, are key...
In this thesis we study 1=k-geodesics, those closed geodesics that minimize on any subinterval of length L=k, where L is the length of the geodesic. These curves arise as critical points of the uniform energy, a function introduced in Morse theory...
Arctic temperature and precipitation have been rising over recent decades, with implications for Greenland Ice Sheet (GrIS) mass balance, sea level rise, and thermohaline circulation via Arctic Ocean freshening. However, meteorological station data...
Acyl coenzyme A: cholesterol acyltransferase (ACAT) catalyzes the formation of intracellular cholesteryl esters in various tissues. Recently, human ACAT cDNA has been cloned and expressed in this laboratory (Chang, C.C., et al, 1993, Cheng, D.;...
Phase transitions occur in such diverse and important systems as ferromagnets, liquid crystals and the early Universe. The dynamics of phase transitions such as these have been studied for decades, but the analytical models still need a great deal...
Air -- Pollution. ; Indoor air pollution. ; Air -- Pollution -- Measurement.
The polycyclic aromatic hydrocarbon (PAH) content of ambient air at several locations is described. The indoor sites examined included those having woodstoves, fireplaces, and kerosene heaters as supplements to oil heat, as well as one test home...
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...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
Friction severely limits performance in precise positioning systems. This thesis investigates one possible approach to counter friction related performance losses, friction cancellation. In this method a friction observer is used to estimate...
Spectral theory is the subfield of differential geometry which provided the solution to Kac''s famous question, "Can you hear the shape of a drum?" That is, can we use the Laplace spectrum of a manifold to draw conclusions about its geometry or...