Search results
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Title
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Probabilistic Numerical Integration
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Author
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Smalenberger, Kelly
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered very costly. This is a central problem both within and without machine learni...
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Title
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QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
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Author
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Elder, Jasmine
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Date Created
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2020
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Subjects--Topical
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Mathematics, Information science
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Description
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Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...
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Title
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Quantification of Profile Measurement Data
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Author
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Javidpour, Farid
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Date Created
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2019
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Subjects--Topical
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Mechanical engineering, Mathematics, Civil engineering
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Description
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Parts with complicated freeform shapes have been attracting more attention in industrial applications in recent decades. In most systems, the functional performance of these parts is directly related to the conformity of their profile with the des...
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Title
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RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
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Author
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Maniar, Saumya Kandarp
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...
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Title
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Risk Minimizing Portfolio Optimization and Hedging with Conditional Value-at-Risk
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Author
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Li, Jing
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Date Created
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2009
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Subjects--Topical
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Mathematics
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Description
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This thesis looks at the problem of finding the optimal investment strategy of a self-financing portfolio in a dynamic complete market setting so that the risk measured by Conditional Value-at-Risk (CVaR) is minimized under the condition that the ...
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Title
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SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
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Author
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Palta, Birce
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...
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Title
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SEVERAL STATISTICAL RESULTS UNDER MULTINOMIAL DISTRIBUTION WITH INFINITE CATEGORIES
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Author
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Zhou, Jun
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Date Created
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2009
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Subjects--Topical
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Statistics, Mathematics
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Description
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This dissertation discusses several statistical results under multinomial distribution with infinite categories. Firstly, the discussion focuses on Simpson's diversity index and Turing's formula. We established an unbiased estimate for the newly p...
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Title
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SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
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Author
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Abney, Ray
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Date Created
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2019
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Subjects--Topical
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Mathematics, Physics
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Description
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In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...
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Title
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Spectral Theory of Schrödinger Type Operator on Spider Type Quantum Graphs
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Author
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Paul, Madhumita
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Date Created
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2023
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Subjects--Topical
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Mathematics
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Description
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The dissertation consists of chapter 1: Introduction, this chapter contains some definitions and examples of quantum graphs, symplectic analysis and its representation on spider graph. Chapter 2-Brownian motion on the spider like quantum graph, th...
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Title
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Spectral theory of the Schrodinger operator on general graphs
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Author
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Zheng, Lukun
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Date Created
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2015
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Subjects--Topical
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Mathematics, Physics
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Description
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The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...
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Title
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Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
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Author
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Fairchild, Michael
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Date Created
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2015
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Subjects--Topical
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Mechanical engineering, Robotics, Mathematics
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Description
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This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...
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Title
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T-algebras and Efimov's problem
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Author
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Pichardo Mendoza, Roberto
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Date Created
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2010
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Subjects--Topical
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Mathematics
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Description
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We study the topological properties of minimally generated algebras (as introduced by Koppelberg) and, particularly, the subclass of T-algebras (a notion due to Koszmider) and its connection with Efimov's problem.We show that the class of T-algebr...
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Title
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THE BRAID INDICES OF ALTERNATING LINKS
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Author
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Liu, Pengyu
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Date Created
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2018
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Subjects--Topical
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Mathematics
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Description
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It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands in any closed braid representing the link. It is difficult in general to det...
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Title
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The Study of Loop Markov Chains
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Author
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Gillespie Jr., Perry
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Date Created
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2011
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Subjects--Topical
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Mathematics, Statistics
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Description
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The purpose of my research is the study of Loop Markov Chains. This model contains several loops, which could be connected at several different points. The focal point of this thesis will be when these loops are connected at one single point. Insi...
