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Now showing items 1-10 of 311

#### ON CONFORMALLY FLAT CIRCLE BUNDLES OVER SURFACES

(2014)

We study surface groups $\Gamma$ in $SO(4,1)$, which is the group of conformal automorphisms of $S^3$, and also the group of isometries of $\mathbb{H}^4$. We consider such $\Gamma$ so that its limit set $\Lambda_\Gamma$ ...

#### EXPLORING FUNDS OF KNOWLEDGE AND CAPITAL: CASE STUDIES OF LATINO IMMIGRANT FAMILIES SUPPORTING THEIR CHILDREN'S EDUCATION, WITH A FOCUS ON MATHEMATICS

(2014)

Latino students are frequently positioned by widespread achievement gap discourse at the bottom of the attainment spectrum. Both students and families are portrayed as inadequate and deficient, and are blamed for their ...

#### Mathematical Topics in Fluid-Particle Interaction

(2014)

Models for particles interacting with compressible fluids are useful to several areas of science. This dissertation considers some of the mathematical issues of the Navier-Stokes-Smoluchowski and Euler-Smoluchowski models ...

#### Frame Multiplication Theory for Vector-valued Harmonic Analysis

(2014)

A tight frame is a sequence in a separable Hilbert space satisfying the frame inequality with equal upper and lower bounds and possessing a simple reconstruction formula. We define and study the theory of frame multiplication ...

#### Fast Numerical and Machine Learning Algorithms for Spatial Audio Reproduction

(2014)

Audio reproduction technologies have underwent several revolutions from a purely mechanical, to electromagnetic, and into a digital process. These changes have resulted in steady improvements in the objective qualities of ...

#### Spherical two-distance sets and related topics in harmonic analysis

(2014)

This dissertation is devoted to the study of applications of
harmonic analysis. The maximum size of spherical few-distance sets
had been studied by Delsarte at al. in the 1970s. In particular,
the maximum size of spherical ...

#### An Algorithmic Approach to Invariant Rational Functions

(2014)

For any field K and group A acting on K(x0, x1,..., xn-1), the fixed field consists of the elements fixed under the action of A, and is denoted K(x0, x1,..., xn-1)^A. Noether's problem seeks to answer whether K(x0, x1,..., ...

#### Exploiting Data-Dependent Structure for Improving Sensor Acquisition and Integration

(2014)

This thesis deals with two approaches to building efficient representations of data. The first is a study of compressive sensing and improved data acquisition. We outline the development of the theory, and proceed into ...

#### EVOLUTION OF FACETED CRYSTAL SURFACES: MODELING AND ANALYSIS

(2014)

Nanoscale materials hold the promise of leading to breakthroughs in the development of electronics. These materials are of great interest especially at low temperatures due to their thermal stability. In order to predict ...

#### Patterns in Curriculum Choices: Pre-Calculus Curricula in the Archdiocese of Washington

(2015)

This study aims to learn more about the choices made by mathematics teachers in the Archdiocese of Washington, given their unique independence from state or district curricular control. To study these choices, pre-calculus ...