Browsing Mathematics (Faculty of) by Title
Now showing items 2473-2492 of 2985
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The Sigma-Delta Modulator as a Chaotic Nonlinear Dynamical System
(University of Waterloo, 2007-01-23)The sigma-delta modulator is a popular signal amplitude quantization error (or noise) shaper used in oversampling analogue-to-digital and digital-to-analogue converter systems. The shaping of the noise frequency spectrum ... -
Signature Schemes in the Quantum Random-Oracle Model
(University of Waterloo, 2017-04-25)A signature scheme is a fundamental component in modern digital communication. It allows for authenticated messages, without which it would be nearly impossible to ensure security when using most modern technologies. ... -
Significant Feature Clustering
(University of Waterloo, 2006)In this thesis, we present a new clustering algorithm we call <em>Significance Feature Clustering</em>, which is designed to cluster text documents. Its central premise is the mapping of raw frequency count vectors ... -
Signing with Codes
(University of Waterloo, 2014-01-22)Code-based cryptography is an area of classical cryptography in which cryptographic primitives rely on hard problems and trapdoor functions related to linear error-correcting codes. Since its inception in 1978, the area ... -
Signorini conditions for inviscid fluids
(University of Waterloo, 2021-06-28)In this thesis, we present a new type of boundary condition for the simulation of inviscid fluids – the Signorini boundary condition. The new condition models the non-sticky contact of a fluid with other fluids or solids. ... -
Similarity and Diversity in Information Retrieval
(University of Waterloo, 2012-04-30)Inter-document similarity is used for clustering, classification, and other purposes within information retrieval. In this thesis, we investigate several aspects of document similarity. In particular, we investigate the ... -
Simple Convolutional Neural Networks with Linguistically-Annotated Input for Answer Selection in Question Answering
(University of Waterloo, 2018-08-10)With the advent of deep learning methods, researchers have been increasingly preferring deep learning methods over decades-old feature-engineering-inspired work in Natural Language Processing (NLP). The research community ... -
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 ... -
A simple finite volume method for adaptive viscous liquids
(Association for Computing Machinery, 2011-08)We present the first spatially adaptive Eulerian fluid animation method to support challenging viscous liquid effects such as folding, coiling, and variable viscosity. We propose a tetrahedral node-based embedded finite ... -
Simple Termination Criteria for Stochastic Gradient Descent Algorithm
(University of Waterloo, 2021-04-09)Stochastic gradient descent (SGD) algorithm is widely used in modern mathematical optimization. Because of its scalability and ease of implementation, SGD is usually preferred to other methods including the gradient descent ... -
Simple Yet Effective Pseudo Relevance Feedback with Rocchio’s Technique and Text Classification
(University of Waterloo, 2022-08-22)With the continuous growth of the Internet and the availability of large-scale collections, assisting users in locating the information they need becomes a necessity. Generally, an information retrieval system will process ... -
A Simplified Method for Hedging Jump Diffusions
(University of Waterloo, 2010-12-23)Geometric Brownian Motion (GBM) and has been widely used in the Black Scholes option-pricing framework to model the return of assets. However, many empirical investigations show that market returns have higher peaks and ... -
Simulated Overloading using Generic Functions in Scheme
(University of Waterloo, 1997)This thesis investigates extending the dynamically-typed, functional programming language Scheme, with simulated overloading in order to permit the binding of multiple, distributed defnitions to function names. Overloading ... -
Simulating lake dynamics: the effects of bathymetry and bottom drag
(University of Waterloo, 2011-10-31)This work seeks, through numerical simulations as well as analysis, to derive from relatively simple models an intuitive understanding of the dynamics and behaviour of flow in lakes near the bottom boundary. The main body ... -
Simulating Wintertime Lake Dynamics Using the MITgcm Ice Model
(University of Waterloo, 2020-09-23)Lake Erie is an important source of drinking water, a location for recreational activities and a haven for unique ecosystems (e.g. Point Pelee). Recent research has suggested that some wintertime processes are significantly ... -
Simulation of the Ferrofluid Interface
(University of Waterloo, 2020-05-14)Ferrofluids were initially invented as an additive for rocket fuels. The commercial applications of ferrofluids have since expanded, and have become popularized as desktop toys as well as an art form. Since 1987, ferrofluid ... -
Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method
(University of Waterloo, 2011-05-13)This work develops a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier-Stokes equations for geophysical and environmental flows. These flows are often driven by the ... -
Simulation of Vortex Interactions With a Solid Wall Using Adaptive Mesh Refinement
(University of Waterloo, 2016-05-12)One feature that is common to many fluid flows is that phenomena of interest often occur at disparate length scales, whether it be vortices interacting with a boundary layer, or shear instabilities on an internal gravity ... -
Simulations of Radiatively Driven Convection and Spatially Heterogeneous Solar Radiation Intensity in Ice-Covered Lakes
(University of Waterloo, 2023-12-22)At the end of winter as sunlight and increasing air temperatures melt the snow layer above the ice, allowing significant radiation from the sun to enter the water column. In the cold water regime (T < 4 °C, where 4 °C is ... -
Simultaneous Graph Representation Problems
(University of Waterloo, 2011-02-18)Many graphs arising in practice can be represented in a concise and intuitive way that conveys their structure. For example: A planar graph can be represented in the plane with points for vertices and non-crossing curves ...