Browsing Mathematics (Faculty of) by Title
Now showing items 16541673 of 2803

A NonIntersecting RTree
(University of Waterloo, 20210512)Indexes for multidimensional data based on the RTree are popularly used by databases for a wide range of applications. Such index trees support point and range queries but are costly to construct over datasets of millions ... 
NonIntrusive Computing
(University of Waterloo, 20081217)Pervasive computing is an important trend today. It concerns devices and services in a smart space that interact with users in a simple, natural, and harmonious way. Many problems in this domain have been studied from ... 
NonIsotopic Symplectic Surfaces in Products of Riemann Surfaces
(University of Waterloo, 2006)<html> <head> <meta httpequiv="ContentType" content="text/html;charset=iso88591"> </head> Let Σ<em><sub>g</sub></em> be a closed Riemann surface of genus <em>g</em>. Generalizing Ivan Smith's construction, ... 
Nonlinear Effects on Stopping of Fast Moving Molecular Ions Through Solids
(University of Waterloo, 20070627)This thesis studies the nonlinear (Barkas) effects on stopping of fast moving molecular ions through solids. We model the solid target by a rigid lattice of positive ion cores surrounded by a gas of electrons. To model ... 
Nonlinear Interactions between Internal Wave Beams: Beyond the Traditional Approximation.
(University of Waterloo, 20170922)The problem of nonlinear interactions of internal waves is solved using smallamplitude expansions beyond the traditional approximation; that is the horizontal component of the Earth’s rotation vector is included in our ... 
Nonlocal Quantum Systems with Infinite Entanglement
(University of Waterloo, 20220818)The study of quantum entanglement under quantum information has mostly been done in the mathematical model of tensor product of Hilbert spaces. In infinite dimensions, this model cannot capture all cases of nonlocal ... 
Nonlinear Dimensionality Reduction by Manifold Unfolding
(University of Waterloo, 20130927)Every second, an enormous volume of data is being gathered from various sources and stored in huge data banks. Most of the time, monitoring a data source requires several parallel measurements, which form a highdimensional ... 
Nonlinear Dimensionality Reduction with Side Information
(University of Waterloo, 2006)In this thesis, I look at three problems with important applications in data processing. Incorporating side information, provided by the user or derived from data, is a main theme of each of these problems. <br /><br ... 
Nonlinear Preconditioning Methods for Optimization and ParallelInTime Methods for 1D Scalar Hyperbolic Partial Differential Equations
(University of Waterloo, 20171018)This thesis consists of two main parts, part one addressing problems from nonlinear optimization and part two based on solving systems of time dependent differential equations, with both parts describing strategies for ... 
Nonlinear screening of external charge by doped graphene
(University of Waterloo, 20100428)In the rst part of this thesis we discuss some details of properties of graphene and we explain the tightbinding approach to nd the energy spectrum in graphene. In the second part of the thesis, we solve a nonlinear ... 
Nonlinear Wave Propagation in Brass Instruments
(University of Waterloo, 20130125)The study of wave production and propagation is a common phenomenon seen within a variety of math and physics problems. This thesis in particular will investigate the production and propagation of sound waves through musical ... 
Nonparametric Estimation in a Compound Mixture Model and False Discovery Rate Control with Auxiliary Information
(University of Waterloo, 20200515)In this thesis, we focus on two important statistical problems. The first is the nonparametric estimation in a compound mixture model with application to the malaria study. The second is the control of the false discovery ... 
Nonribosomal Peptide Analog Identification with Tandem Mass Spectrometry
(University of Waterloo, 20140729)Nonribosomal peptides (NRP) are a class of peptide secondary metabolites, usually produced by microorganisms like bacteria and fungi. NRP antibiotics, cytostatics, and immunosuppressants are in commercial use. ... 
Nonribosomal Peptide Identification with Tandem Mass Spectrometry by Searching Structural Database
(University of Waterloo, 20120424)Nonribosomal peptides (NRP) are highlighted in pharmacological studies as novel NRPs are often promising substances for new drug development. To eﬀectively discover novel NRPs from microbial fermentations, a crucial step ... 
Nonrigid Image Registration Using Physically Based Models
(University of Waterloo, 2006)It is well known that biological structures such as human brains, although may contain the same global structures, differ in shape, orientation, and fine structures across individuals and at different times. Such ... 
Nonsmooth Bifurcations of Mean Field Systems of TwoDimensional Integrate and Fire Neurons
(Society for Industrial and Applied Mathematics, 2016)Mean field systems have recently been derived that adequately predict the behaviors of large networks of coupled integrateandfire neurons [W. Nicola and S.A. Campbell, J. Comput. Neurosci., 35 (2013), pp. 87108]. The ... 
The Normal Distribution of ω(φ(m)) in Function Fields
(University of Waterloo, 20080128)Let ω(m) be the number of distinct prime factors of m. A celebrated theorem of ErdösKac states that the quantity (ω(m)loglog m)/√(loglog m) distributes normally. Let φ(m) be Euler's φfunction. Erdös and Pomerance ... 
Normal Mode Spectra of Idealized Baroclinic Waves
(AMS, 20200201)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 ... 
Normal Mode WaveVortex Decompositions of Mesoscale Simulations
(University of Waterloo, 20170818)The kinetic energy spectrum of the atmosphere has been well observed to exhibit a k^(3) power law at synoptic scales with a transition to a shallower k^(5/3) power law at the mesoscale. To better understand the mesoscale ... 
Normal operators with highly incompatible offdiagonal corners
(Polish Academy of Sciences, 20200525)Let H be a complex, separable Hilbert space, and B(H) denote the set of all bounded linear operators on H. Given an orthogonal projection P∈B(H) and an operator D∈B(H), we may write D=[D1D3D2D4] relative to the decomposition ...