'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...
In the past few years there has been a tremendous growth in the usage of digital images. Users can now access millions of photos, a fact that poses the need of having methods that can efficiently and effectively search the visual information of...
Antennas (Electronics); ; Thermotherapy. ; Cancer -- Treatment.
Engineers have devised many techniques by which to raise the temperature of a cancer tumor 8 degrees above body temperature. Such treatment is called hyperthermia; experiments in vitro suggest it may be an effective adjunct to standard radition...
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...
In this thesis I present analyses of optical and X-ray data of early-type galaxies in nearby rich clusters as part of the NOAO Fundamental Plane Survey. Spectroscopic parameters, including linestrengths and velocity dispersions are measured for...
Nuclear magnetic resonance spectroscopy -- Data processing. ; Proteins -- Analysis -- Mathematical models. ; Computer algorithms.
Our aim is to enhance high-throughput applications of Nuclear Magnetic Resonance (NMR) through the development of efficient computational methods that operate on sparse (minimal) sets of experimental NMR data. We have developed a family of four...
Given graded C *-algebras A and B , we define the notion of an admissible pair ([straight phi], D ) for A and B . Associated to an admissible pair ([straight phi], D ) is an equivalence class of asymptotic morphisms from A to B . Under certain...
Automated trust negotiation is a new approach to access control and authentication for the open systems such as the Internet, where sensitive interactions sometimes occur among entities with no prior knowledge of each other. Trust negotiation...
Oligomers -- Structure -- Mathematical models. Nuclear magnetic resonance spectroscopy.
Medical Term: Nuclear Magnetic Resonance, Biomolecular.
Protein complexes play vital roles in the fundamental processes of life. In particular, homo-oligomers are involved in cell signaling, regulation, and transport. To make detailed studies of these symmetric proteins, they need to be discovered, and...
Bayesian nonparametric methods have become increasingly popular in machine learning for their ability to allow the data to determine model complexity. In particular, Bayesian nonparametric versions of common latent variable models can learn as...
Multiresolution image transformations have become commonplace tools for analyzing images for a number of applications, including enhancement and restoration. Powerful models for these applications have been developed in the transform domain of...
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...
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...
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....
In the past decade, the use of ordinal patterns in the analysis of time series and dynamical systems has become an important tool. Ordinal patterns (otherwise known as a permutation patterns) are found in time series by taking n data points at...
The accelerated expansion of space in the Universe has been known for two decades. However, finding a plausible theory that describes this expansion is more difficult: Taking general relativity for granted requires us to stipulate the existence of...
Microwave spectroscopy. Imaging systems -- Design and construction. Diagnostic imaging -- Digital techniques. Breast -- Cancer -- Diagnosis. Microwave imaging in medicine.
Microwave spectroscopy has been investigated as a possible modality for breast imaging because of the significant contrast in electrical properties between normal and malignant tissue over the microwave spectrum. A liquid-coupled, non-contacting...
Si-based quantum devices, including Si/SiGe quantum dots (QD), are promising candidates for spin-based quantum bits (quits), which are a potential platform for quantum information processing [1]. Meanwhile, qubit readout remains a challenging task...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Over the past decade, a pair of instructions called load-linked (LL) and store-conditional (SC) have emerged as the most suitable synchronization instructions for the design of lock-free algorithms. However, current architectures do not support...
In this thesis we review the methods for computation of cosmological correlations in the early universe known as the in-in formalism which are then applied to the problem of magnetogenesis from inflation. For this computation, a power-law single...
We associate, to each positive integer n , a Cayley graph to the group PSL(2.Î–[subscript n]). We then consider the isoperimetric numbers of these graphs. In chapter three we determine upper bounds for the isoperimetric number by a detailed...
Proteins -- Structure -- Data processing. Proteins -- Analysis -- Data processing. Nuclear magnetic resonance spectroscopy. Oligomers -- Analysis -- Data processing.
Symmetric homo-oligomers (protein complexes with similar subunits arranged symmetrically) play pivotal roles in complex biological processes such as ion transport and cellular regulation. Structure determination of these complexes is necessary in...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Lungs -- Cancer -- New Hampshire. Bladder -- Cancer -- New Hampshire. Cancer -- Epidemiology. Cancer -- Environmental aspects -- New Hampshire. Cancer -- Genetic aspects
Complex diseases such as lung cancer are most commonly the result of environmental variables acting on an individual's genetic background. Those environmental variables may be found in the external environment, such as exposures to carcinogenic...
Lung cancer is the leading cause of cancer-related death in the USA and worldwide causing 160,000 and 1.5 million deaths per year, respectively. Due to the late stage of diagnosis, poor efficacy of chemotherapies (targeted and pleiotropic), and...
Objectives: This dissertation comprises three essays on geographic variations in healthcare, and the association between utilization and health outcomes. I first explore associations between outpatient visits and Medicare beneficiaries'...
Traumatic brain injury (TBI) is the leading cause of acquired disability in children, yet innate repair mechanisms are incompletely understood. A possible innate mechanism to repair injury after insult is neurogenesis - the birth, migration,...
As methicillin-resistant Staphylococcus aureus (MRSA) hospitalizations keep increasing, the understanding of the characteristics that make one isolate more successful over another is paramount. Strain variations among Staphylococcus aureus observed...