We study the bijective combinatorics of reduced words. These are fundamental objects in the study of Coxeter groups. We restrict our focus to reduced words of permutations and signed permutations. Our results can all be situated within the context...
There is a growing demand for power-constrained sensors in many areas, particularly in emerging healthcare and next-generation biomedical applications. Such sensors have very limited power budget, among which interface circuits, including analog...
Little behavioral research, and less neural work, has examined how we process quantities like negative numbers, which are worth less than nothing and yet have value. The goal of this dissertation was to determine whether negative number processing...
Manifolds (Mathematics) Geodesics (Mathematics) Space and time.
We investigate weak and strong refocusing of light rays in a space-time and related concepts. A strongly causal space-time ( X^ n +1 , g ) is emphstrongly refocusing at x ∈ X if there is a point y ≠ x such that all null-geodesics through y pass...
The coordination and coupling of the several steps in mRNA biogenesis helps to ensure proper regulation of gene expression. The DEAD-box helicase Dbp5/Rat8 is an essential mRNA export factor that has also been implicated in other steps of mRNA...
Study 1 This systematic review aimed to synthesize the emerging body of work on the impact of employment, with a focus on prospective cohort studies. Researchers identified relevant studies for review via PubMed, expert referral, and reference...
Large scale systems -- Mathematical models. Digital computer simulation. Parallel processing (Electronic computers). Computer algorithms.
Modeling real-world large-scale systems is inherently challenging due to their size and complexity. Detailed simulation of large-scale models requires tremendous amounts of computing power and memory space. Parallel discrete-event simulation...
Single cycle electromagnetic pulses have been difficult to experimentally generate and to theoretically analyze. With the recent development of terahertz systems based on near infrared femtosecond lasers it has become possible to perform single...
Telecommunication -- Traffic -- Measurement -- Statistical methods. IEEE 802.11 (Standard). Universities and colleges -- Computer networks -- New Hampshire -- Hanover -- Case studies.
The edge of the Internet is increasingly wireless. Enterprises large and small, homeowners, and even whole cities have deployed Wi-Fi networks for their users, and many users never need to--or never bother to--use the wired network. With the advent...
Magnetoencephalography -- Technique.; Magnetic susceptibility.
The measurement of human brain function is the goal of many noninvasive medical imaging modalities. Two sources of physiological contrast are commonly targeted to achieve this goal. The most direct approach to measuring neuronal activity is with...
Coal combustion remains an important source of toxic metal emissions. Dilute concentrations and poor understanding of their chemistries hinders reduction of these emissions. This thesis examines the chemistry of the trace metals arsenic and mercury...
Continual improvements to clinical breast imaging technologies have led to ever earlier detections and increasingly accurate localizations of female breast cancers. While these advancements have certainly improved the prognoses of many patients,...
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...
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...
This dissertation details the use of a new catalog of Galactic bulge field RR Lyrae variables to advance the understanding of the structure of the Milky Way Galaxy. The catalog contains 3667 RR0 Lyrae stars from the eight-year MACHO Project...
Biofilm formation is a complex process culminating in a multicellular microbial structure encased in an extracellular matrix. In order for planktonic cells to initiate and proceed through biofilm formation, they must appropriately regulate a number...
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)....
Psychopaths. Personality and emotions. Emotions and cognition.
Research investigating clinical and criminal psychopaths is quite extensive. Though it has evolved in terminology over the years, the basic premise and description of psychopathy has maintained deficits associated with emotional interpretation and...
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...
This thesis explores practical and theoretical aspects of several privacy-providing technologies, including tools for anonymous web-browsing, verifiable electronic voting schemes, and private information retrieval from databases. State-of-art...
The furanosteroids are an important class of natural products that have been found to effectively inhibit various biologically important enzymes. These enzymes include the phosphoinositide-3-kinase (PI3K) family and the polo-like kinase (PLK1)...
Fluorine forms the strongest single bond to carbon, however, it is well established that transition metals can lengthen and weaken C-F bonds in fluorinated ligands. Described here are studies on the activation of C-F bonds in iridium compounds...
Systemic sclerosis (SSc) is an autoimmune disease with a heterogeneous range of skin and internal organ involvement, a progressive course, incompletely understood pathogenesis, and unpredictable outcome. The disease is most known for varying...
Alzheimer's Disease (AD) is a devastating neurodegenerative disease its pathogenesis is linked with cholesterol metabolism. Acyl-CoA:cholesterol acyltransferases (ACATs) are key enzymes involved in cholesterol homeostasis that catalyze the...