Browsing Mathematics (Faculty of) by Title
Now showing items 12651284 of 2755

Intersperse Coloring
(University of Waterloo, 20070927)In this thesis, we introduce the intersperse coloring problem, which is a generalized version of the hypergraph coloring problem. In the intersperse coloring problem, we seek a coloring that assigns at least l different ... 
Interval Censoring and Longitudinal Survey Data
(University of Waterloo, 20070911)Being able to explore a relationship between two life events is of great interest to scientists from different disciplines. Some issues of particular concern are, for example, the connection between smoking cessation and ... 
Intervals with few Prime Numbers
(University of Waterloo, 2004)In this thesis we discuss some of the tools used in the study of the number of primes in short intervals. In particular, we discuss a large sieve density estimate due to Gallagher and two classical delay equations. ... 
An introduction to GerberShiu analysis
(University of Waterloo, 20110930)A valuable analytical tool to understand the event of ruin is a GerberShiu discounted penalty function. It acts as a unified means of identifying ruinrelated quantities which may help insurers understand their vulnerability ... 
Invariant manifold theory for impulsive functional differential equations with applications
(University of Waterloo, 20190703)The primary contribution of this thesis is a development of invariant manifold theory for impulsive functional differential equations. We begin with an indepth analysis of linear systems, immersed in a nonautonomous ... 
Inverse Probability Weighted Estimating Equations for Randomized Trials in Transfusion Medicine
(Wiley, 20130326)Thrombocytopenia is a condition characterized by extremely low platelet counts, which puts patients at elevated risk of morbidity and mortality because of bleeding. Trials in transfusion medicine are routinely designed ... 
Inverse Problems and Selfsimilarity in Imaging
(University of Waterloo, 20080806)This thesis examines the concept of image selfsimilarity and provides solutions to various associated inverse problems such as resolution enhancement and missing fractal codes. In general, many realworld inverse ... 
Inverse Problems in Portfolio Selection: Scenario Optimization Framework
(University of Waterloo, 20111027)A number of researchers have proposed several Bayesian methods for portfolio selection, which combine statistical information from financial time series with the prior beliefs of the portfolio manager, in an attempt to ... 
Inverted Index Partitioning Strategies for a Distributed Search Engine
(University of Waterloo, 20101221)One of the greatest challenges in information retrieval is to develop an intelligent system for user and machine interaction that supports users in their quest for relevant information. The dramatic increase in the amount ... 
Inverting Permutations In Place
(University of Waterloo, 20150817)We address the problem of quickly inverting the standard representation of a permutation on $n$ elements in place. First, we present a naive algorithm to do it using $O(\log n)$ extra bits in $O(n^2)$ time in the worst ... 
Investigating Selection above a Multitouch Surface
(University of Waterloo, 20121025)Abovesurface interaction is a new and exciting topic in the field of humancomputer interaction (HCI). It focuses on the design and evaluation of systems that humans can operate by moving their hands in the space above ... 
An Investigation of Methods for Missing Data in Hierarchical Models for Discrete Data
(University of Waterloo, 20110309)Hierarchical models are applicable to modeling data from complex surveys or longitudinal data when a clustered or multistage sample design is employed. The focus of this thesis is to investigate inference for discrete ... 
An Investigation of Word Sense Disambiguation for Improving Lexical Chaining
(University of Waterloo, 2006)This thesis investigates how word sense disambiguation affects lexical chains, as well as proposing an improved model for lexical chaining in which word sense disambiguation is performed prior to lexical chaining. A ... 
Investigations into quantum lightmatter interactions, their approximations and applications
(University of Waterloo, 20210126)Devoting some thought to the interactions between light and matter quickly conjure a myriad of different possibilities; different models for light and matter, different possible interaction Hamiltonians, different simplifying ... 
An IsogenyBased Adaptor Signature Using SQISign
(University of Waterloo, 20220419)Transactions on blockchains can prove very costly, so as a solution to avoid these large costs, schemes involving payment channel networks have been developed. One approach to implementing these offchain forms of payment ... 
Iterated Function Systems with PlaceDependent Probabilities and the Inverse Problem of Measure Approximation Using Moments
(University of Waterloo, 20161025)The study of iterated function systems has close ties with the subject of fractalbased analysis. One important application is the approximation of a target object by the fixed point of a contractive iterated function ... 
Iterative Editbased Unsupervised Sentence Simplification
(University of Waterloo, 20200728)We present a new iterative approach towards unsupervised editbased sentence simplification. Our approach is guided by a scoring function to select simplified sentences generated after iteratively performing word and ... 
Iterative Rounding Approximation Algorithms in Network Design
(University of Waterloo, 20100521)Iterative rounding has been an increasingly popular approach to solving network design optimization problems ever since Jain introduced the concept in his revolutionary 2approximation for the Survivable Network Design ... 
Jaeger’s Strong 3Flow Conjecture for Graphs in Low Genus Surfaces
(University of Waterloo, 20200505)In 1972, Tutte posed the 3Flow Conjecture: that all 4edgeconnected graphs have a nowhere zero 3flow. This was extended by Jaeger et al. (1992) to allow vertices to have a prescribed, possibly nonzero difference (modulo ... 
A Java Toolkit for Distributed Evaluation of Hypergeometric Series
(University of Waterloo, 2004)Hypergoemetric Series are very important in mathematics and come up regularly when dealing with the precise definitions of constants such as <i>e</i>, π and Apery's constant ς(3). The evaluation of such series ...