This thesis is divided into 2 parts. In the first part of the thesis, we describe a software based approach to speeding up the Magnetic Resonance Imaging modality. In the second part of the thesis, we describe Significance Tree Quantization, which...
Partially ordered sets. ; Convex polytopes. ; Representations of groups.
This thesis deals with geometric representations of ordered sets. In a geometric representation, each element of the ordered set is assigned a geometric object, with two elements incomparable in the ordered set if and only if the corresponding...
We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n ≥11), Spin(n) (n = 9, n ≥11), SU (n) (n ≥7), and Sp (n) (n ≥5). The proof breaks into three...
Information resources management -- Mathematical models. ; Database management -- Methodology. ; Change. ; World Wide Web.
Many modern information management tasks consist of an observer that must maintain current knowledge of a collection of changing information. The goal of this observer is to maintain acceptably accurate state estimates given limited observation...
Van Allen radiation belts -- Mathematical models. ; Magnetosphere -- Mathematical models. ; Magnetohydrodynamics -- Mathematical models.
The physics of geomagnetically-trapped radiation has been a topic of interest since the discovery of the Van Allen belts in 1958. As the energetic particles comprising these belts can pose a hazard to human activity in space, considerable effort...
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...
RUNX1 is a transcription factor regulating hematopoietic development. Study of the RUNX1 structure revealed two functional domains. The runt domain binds DNA and mediates interaction with CBFß. Sequences C terminal to the runt domain form the...
We consider a problem of information overload: the conflict between vast amounts of data available in electronic form and inadequate tools for finding relevant information. To alleviate this problem we look at the information organization:...
Microelectronics -- Design and construction. ; Micromachining. ; Strains and stresses. ; Silicon compounds.
This dissertation presents the use and extension of capabilities of surface machining technology, utilizing stress engineering between polysilicon and silicon nitride layers to build three-dimensional microstructures. A new theory and experimental...
A method for the reconstruction of a spectrum of mechanical properties from phase-contrast, MR displacement data is developed and implemented via the finite element method. To overcome the significant computational load associated with...
Space plasmas. ; Magnetopause. ; Solar wind. ; Magnetic flux. ; Plasma astrophysics.
Two types of two-dimensional (2-D), coherent (time-stationary) space plasma structures, described by one-fluid, magnetostatic and isotropic plasma theory, are examined. One is the internal structure of the Earth's magnetopause and the other is...