Coding theory. Characters of groups. Error-correcting codes (Information theory). Polynomials.
We introduce vector-valued character theory, a higher dimensional generalization of character theory. We then use vector-valued characters to extend the MacWilliams equivalence theorem for linear codes to a class of additive codes, called...
Runx1 is required for the formation of hematopoietic stem cells (HSCs) during embryogenesis. The extent of developmental plasticity inherent to the HSC remains in question. We developed a system whereby the developmental fate of all Runx1...
While anthropogenic emissions of the toxic element mercury (Hg) to the atmosphere are currently rising, major uncertainties remain in determining the relative impacts of anthropogenic activity and natural processes on the global Hg cycle. In this...
The opportunistic pathogen Pseudomonas aeruginosa secretes a protein that triggers the accelerated degradation of the cystic fibrosis transmembrane conductance regulator (CFTR) in airway epithelial cells. This protein, known as the CFTR inhibitory...
Cataclysmic variable stars (CVs) are close, interacting binary systems comprised of a white dwarf and a companion star, which is typically a late-type dwarf star. Their progenitor systems are post common envelope binaries (PCEBs) with a white dwarf...
Eddy currents (Electric) -- Mathematical models. Electric generators -- Windings. Finite element method.
Magnetic components, such as transformers and inductors, are essential parts of most power electronics circuits. They usually are the largest components in the circuit, and also account for a large portion of the power loss. Reducing the volume of...
Many of today's communication and imaging technologies share the common challenge of signal deterioration due to water's large absorption coefficient. As an example, it is water molecules that contaminate the fused silica of optical fibers and...
Background. The development and implementation of emergency response technologies have relied on two independent and rarely integrated processes. Initially, research labs develop technologies without systematic consideration of the special needs...
Near infrared reflectance spectroscopy. Breast -- Cancer -- Tomography. Breast -- Cancer -- Imaging. Breast -- Cancer -- Diagnosis. Image reconstruction. Diagnostic imaging. Image Processing
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...
Internet -- Security measures. Public key infrastructure (Computer security). Digital signatures. Peer-to-peer architecture (Computer networks) -- Security measures.
The Internet has become a virtual place where people not only operate in isolation but also interact with other Internet users. Collaborative systems are becoming more popular. Applications now being introduced could provide better remote education...
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)....
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...
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...
An efficient synthetic approach to both 2-acyl-1-(substituted)indoles and 2-nitro-1-(substituted)indoles by reaction of 2-lithio-1-(substituted)indoles with appropriate electrophiles is presented. Inverse quenching of 2-lithioindoles 5 and 208 with...
Quantitative Risk Analysis of Computer Networks (QSRA) addresses the problem of risk opacity of software in networks. It allows risk managers to get a detailed and comprehensive snapshot of the constitutive software on the network, assess its risk...
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...
We present a number of findings concerning groupoid dynamical systems and groupoid crossed products. The primary result is an identification of the spectrum of the groupoid crossed product when the groupoid has continuously varying abelian...
This thesis describes the synthesis of sulfobetaines having the general structure $\rm RN\sp{+}(CH\sb3)\sb2(CH\sb2)\sb{x}SO\sb{3\sp{-}}$ as novel inhibitors of squalene synthase. Squalene synthase reductively couples two molecules of farnesyl...
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 âˆˆ X if there is a point y â‰ x such that all null-geodesics through y pass...
Background:
With the science and transparency of quality measurement unfolding, and economic forces changing, hospital leaders seek to aggressively improve their systems' care quality. Successful organizational transformations will engage everyone...
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 Â°C under triaxial (proportional) loading where...
The ability to resist highly tempting reward impulses is a struggle that all humans face on a daily basis, one that gives rise to many societal problems such as obesity and drug addiction. This form of self-regulation involves a critical balance...
Novel biotherapeutics have reshaped drug discovery and promise a continued revolution in disease therapy, yet therapeutic proteins present unique design challenges. One distinguishing risk factor is the prospect of eliciting an adaptive immune...
Proteins are ubiquitous in cells and are essential to a wide range of biological processes. Since existing proteins occupy only a small portion of the space of possible amino acid composition, understanding their sequence-structure-function...