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Now showing items 1-10 of 15

#### A Mathematical Discussion of Corotational Finite Element Modeling

(2011-03-31)

This thesis discusses the mathematics of the Element Independent Corotational (EICR) Method and the more general Unified Small-Strain Corotational Formulation. The former was developed by Rankin, Brogan and Nour-Omid [106]. ...

#### Variations on Artin's Primitive Root Conjecture

(2011-08-11)

Let $a \in \mathbb{Z}$ be a non-zero integer. Let $p$ be a prime such that $p \nmid a$. Define the index of $a$ modulo $p$, denoted $i_{a}(p)$, to be the integer $i_{a}(p) := [(\mathbb{Z}/p\mathbb{Z})^{\ast}:\langle a ...

#### Real Second-Order Freeness and Fluctuations of Random Matrices

(2011-09-09)

We introduce real second-order freeness in second-order noncommutative probability spaces. We demonstrate that under this definition, independent ensembles of the three real models of random matrices which we consider, ...

#### A Framework for the Meta-Analysis of Survey Data

(2011-12-06)

The research outlined in this thesis covers various different statistical issues relating to meta-analysis of survey data. These issues include the creation of an original comprehensive methodological framework for combining ...

#### Moduli Spaces of K3 Surfaces with Large Picard Number

(2011-08-15)

Morrison has constructed a geometric relationship between K3 surfaces with large Picard number and abelian surfaces. In particular, this establishes that the period spaces of certain families of lattice polarized K3 surfaces ...

#### Short-time asymptotics of heat kernels of hypoelliptic Laplacians on Lie groups

(2011-10-11)

This thesis suggests an approach to compute the short-time behaviour of the hypoelliptic heat kernel corresponding to sub-Riemannian structures on unimodular Lie groups of type I, without previously holding a closed form ...

#### MEASURING DEPENDENCE VIA MUTUAL INFORMATION

(2011-10-03)

Considerable research has been done on measuring dependence between random variables. The correlation coefficient is the most widely studied linear measure of dependence. However, the limitation of linearity limits its ...

#### Embeddings of flag manifolds and cohomological components of modules

(2011-08-23)

This thesis is a study in Representation Theory and Geometry. These two branches of mathematics have a fruitful interaction, with many applications to Physics and other sciences. Central objects of interest are homogeneous ...

#### On Renyi Divergence Measures for Continuous Alphabet Sources

(2011-08-30)

The idea of `probabilistic distances' (also called divergences), which in some sense assess how `close' two probability distributions are from one another, has been widely employed in probability, statistics, information ...

#### Statistical Methods for Testing Treatment-Covariate Interactions in Cancer Clinical Trials

(2011-09-27)

Treatment–covariate interaction is often used in clinical trials to assess the homogeneity of treatment effects over these subgroups defined by a baseline covariate, which is frequently conducted after primary analysis ...