## Search

Now showing items 1-10 of 1143

#### Packing Unit Disks

(University of Waterloo, 2008-08-27)

Given a set of unit disks in the plane with union area A, what fraction of A can be covered by selecting a pairwise disjoint subset of the disks? Richard Rado conjectured 1/4 and proved 1/4.41. In this thesis, we consider ...

#### Analysis of Islamic Stock Indices

(University of Waterloo, 2009-04-29)

In this thesis, an attempt is made to build on the quantitative research in the field of Islamic Finance. Firstly, univariate modelling using special GARCH-type models is performed on both the FTSE All World and FTSE ...

#### Comparison of Approximation Schemes in Stochastic Simulation Methods for Stiff Chemical Systems

(University of Waterloo, 2009-07-30)

Interest in stochastic simulations of chemical systems is growing. One of the aspects
of simulation of chemical systems that has been the prime focus over the past
few years is accelerated simulation methods applicable ...

#### Algebraic Methods for Reducibility in Nowhere-Zero Flows

(University of Waterloo, 2007-09-25)

We study reducibility for nowhere-zero flows. A reducibility proof typically consists of showing that some induced subgraphs cannot appear in a minimum counter-example to some conjecture. We derive algebraic proofs of ...

#### Extensions of Signed Graphs

(University of Waterloo, 2014-04-29)

Given a signed graph (G, Σ) with an embedding on a surface S, we are interested in "extending" (G, Σ) by adding edges and splitting vertices, such that the resulting graph has no embedding on S. We show (assuming 3-connectivity ...

#### Operator Spaces and Ideals in Fourier Algebras

(University of Waterloo, 2008-08-11)

In this thesis we study ideals in the Fourier algebra, A(G), of a
locally compact group G.
For a locally compact abelian group G, necessary conditions for a
closed ideal in A(G) to be weakly complemented are given, ...

#### A Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Input

(University of Waterloo, 2009-06-22)

Over time astrocytes have been thought to function in an auxiliary manner, providing
neurons with metabolic and structural support. However, recent research
suggests they may play a fundamental role in the generation and ...

#### Detecting Hand-Ball Events in Video

(University of Waterloo, 2008-08-27)

We analyze videos in which a hand interacts with a basketball. In this work, we present a computational system which detects and classifies hand-ball events, given the trajectories of a hand and ball. Our approach is to ...

#### The Normal Distribution of ω(φ(m)) in Function Fields

(University of Waterloo, 2008-01-28)

Let ω(m) be the number of distinct prime factors of m. A
celebrated theorem of Erdös-Kac states that the quantity
(ω(m)-loglog m)/√(loglog m) distributes
normally. Let φ(m) be Euler's φ-function. Erdös and
Pomerance ...

#### Bohmian Trajectories of the Two-Electron Helium Atom

(University of Waterloo, 2008-01-17)

We introduce the de Broglie-Bohm causal interpreation of quantum mechanics and compare it to the standard interpretation of quantum mechanics, the Copenhagen interpretation. We examine the possibility of experimentally ...