Mathematics (Faculty of)
Welcome to the Faculty of Mathematics community.
This community and it’s collections are organized using the University of Waterloo's Faculties and Academics structure. In this structure:
- Communities are Faculties or Affiliated Institutions
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Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).
New collections following this structure will be created UPON REQUEST .
Collections in this community
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Learning Quantum States Without Entangled Measurements
(University of Waterloo, 2021-10-22)How many samples of a quantum state are required to learn a complete description of it? As we will see in this thesis, the fine-grained answer depends on the measurements available to the learner, but in general it is at ... -
Understanding Mode and Modality Transfer in Unistroke Gesture Input
(University of Waterloo, 2021-10-22)Unistroke gestures are an attractive input method with an extensive research history, but one challenge with their usage is that the gestures are not always self-revealing. To obtain expertise with these gestures, interaction ... -
An Anisotropic Subgrid-Scale Parameterization for Large-Eddy Simulations of Stratified Turbulence
(AMS, 2020-10-01)Subgrid-scale (SGS) parameterizations in atmosphere and ocean models are often defined independently in the horizontal and vertical directions because the grid spacing is not the same in these directions (anisotropic ... -
Resolution Dependence and Subfilter-Scale Motions in Idealized Squall-Line Simulations
(AMS, 2020-07-08)In this paper, the sensitivity of idealized squall-line simulations to horizontal resolution, subgrid turbulence mixing scheme, and subfilter-scale motion is discussed. Inconsistent results from numerical simulations ... -
Normal Mode Spectra of Idealized Baroclinic Waves
(AMS, 2020-02-01)Normal modes are used to investigate the contributions of geostrophic vortices and inertia–gravity waves to the energy spectrum of an idealized baroclinic wave simulation. The geostrophic and ageostrophic modal spectra ... -
Realizing Surface-Driven Flows in the Primitive Equations
(AMS, 2015-05-01)The surface quasigeostrophic (SQG) model describes flows with surface buoyancy perturbations with no interior quasigeostrophic potential vorticity at small Rossby number Ro and O(1) Burger number, where quasigeostrophic ... -
Dependence of Model Energy Spectra on Vertical Resolution
(AMS, 2016-04-01)Many high-resolution atmospheric models can reproduce the qualitative shape of the atmospheric kinetic energy spectrum, which has a power-law slope of −3 at large horizontal scales that shallows to approximately −5/3 in ... -
Topographically generated internal waves and boundary layer instabilities
(AIP, 2015-01-06)Flow over topography has been shown to generate finite amplitude internal waves upstream, over the topography and downstream. Such waves can interact with the viscous bottom boundary layer to produce vigorous instabilities. ... -
Random forcing of geostrophic motion in rotating stratified turbulence
(AIP, 2017-12-29)Random forcing of geostrophic motion is a common approach in idealized simulations of rotating stratified turbulence. Such forcing represents the injection of energy into large-scale balanced motion, and the resulting ... -
Wall turbulence response to surface cooling and formation of strongly stable stratified boundary layers
(AIP, 2019-08-20)This paper investigates the processes by which stable boundary layers are formed through strong surface cooling imposed on neutrally stratified wall-bounded turbulence using high-resolution direct numerical simulation at ... -
Reducing the Latency of Dependent Operations in Large-Scale Geo-Distributed Systems
(University of Waterloo, 2021-10-14)Many applications rely on large-scale distributed systems for data management and computation. These distributed systems are complex and built from different networked services. Dependencies between these services can ... -
Local Structure for Vertex-Minors
(University of Waterloo, 2021-10-12)This thesis is about a conjecture of Geelen on the structure of graphs with a forbidden vertex-minor; the conjecture is like the Graph Minors Structure Theorem of Robertson and Seymour but for vertex-minors instead of ... -
Simple Drawings of Kn from Rotation Systems
(University of Waterloo, 2021-10-06)A complete rotation system on n vertices is a collection of n cyclic permutations of the elements [n]\{i}, for i∈[n]. If D is a drawing of a labelled graph, then a rotation at vertex v is the cyclic ordering of the edges ... -
Exception Handling in C∀
(University of Waterloo, 2021-10-04)The C∀ (Cforall) programming language is an evolutionary refinement of the C programming language, adding modern programming features without changing the programming paradigms of C. One of these modern programming features ... -
A Type System With Containers
(University of Waterloo, 2021-10-04)In this thesis, we will introduce the concept of containers as they apply to programming languages. Encapsulation is a common topic in programming languages with well understood benefits. Here, we will investigate its ... -
Novel Paradigms in Physics-Based Animation: Pointwise Divergence-Free Fluid Advection and Mixed-Dimensional Elastic Object Simulation
(University of Waterloo, 2021-10-01)This thesis explores important but so far less studied aspects of physics-based animation: a simulation method for mixed-dimensional and/or non-manifold elastic objects, and a pointwise divergence-free velocity interpolation ... -
Misinformation Retrieval
(University of Waterloo, 2021-10-01)This work introduces the task of misinformation retrieval, identifying all documents containing misinformation for a given topic, and proposes a pipeline for misinformation retrieval on tweets. As part of the work, I curated ... -
Exact Formulas for Averages of Secular Coefficients
(University of Waterloo, 2021-09-29)We study averages of secular coefficients that frequently appear in random matrix theory. We obtain exact formulas, identities and new asymptotics for these integrals as well as a technique to deal with singularities that ... -
State-dependent Modeling of Default Rates
(University of Waterloo, 2021-09-29)Risk-weight function is the most popular formula for banking regulations used to calculate the amount of backup deposit that banks need to hold in order to bear extraordinary losses. The model behind the formula was ... -
Determining the Utility of Key-term Highlighting for High Recall Information Retrieval Systems
(University of Waterloo, 2021-09-28)High-recall information retrieval (HRIR) is an important tool used in tasks such as electronic discovery ("eDiscovery") and systematic review of medical research. Applications of HRIR often uses a human as its oracle to ...
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