Search results
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Title
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APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
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Author
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Semiyari, Hamid
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Date Created
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2015
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Subjects--Topical
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Mathematics
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Description
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We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...
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Title
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Average Genus of Oriented Rational Links
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Author
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Ray, Dawn
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Date Created
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2022
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Subjects--Topical
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Mathematics
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Description
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The goal of this dissertation is to develop the formulation of the average minimal genus of all reduced alternating rational links with a given crossing number. Work has been done by N. Dunfield to approximate the growth of the genus of knots with...
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Title
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Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
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Author
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Johnson, Isabella
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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Unemployment rate reached an astronomical high in 2020 due to the Covid-19 pandemic.The media began reporting on increasing crime rates due to the unemployment rate rising. The Center for Disease Control (CDC) reported that over 81,000 drug overdo...
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Title
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Dynamic Modeling of Incomplete Event History Data
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Author
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Heng, Fei
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Date Created
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2019
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Subjects--Topical
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Statistics
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Description
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Event history analysis has important applications in many fields, such as medicine, engineering, econometrics, actuarial science, and social studies. We usually encounter missing data problems in the modeling of event history data. One typical pro...
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Title
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ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
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Author
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Hulko, Artem
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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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In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: Schrödinger operator defi...
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Title
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Generalized semiparametric varying-coefficient models for longitudinal data
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Author
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Qi, Li
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Date Created
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2015
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Subjects--Topical
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Mathematics, Statistics, Biometry
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Description
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In this dissertation, we investigate the generalized semiparametric varying-coefficient models for longitudinal data that can flexibly model three types of covariate effects: time-constant effects, time-varying effects, and covariate-varying effec...
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Title
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Goodness-of-Fit Tests Under Permutations
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Author
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Chen, Chen
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Date Created
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2019
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Subjects--Topical
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Statistics, Mathematics, Information science
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Description
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Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....
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Title
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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
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Author
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Wu, Jian
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
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Title
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IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
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Author
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Baker, Katherine
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Date Created
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2014
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Subjects--Topical
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Mathematics
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Description
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We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the Image-Charge Solvation Model (ICSM), and introdu...
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Title
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Improved Bounds on a Combinatorial Problem
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Author
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Page, Jacob
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be well-defined, however its values are unknown for ...
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Title
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Inequalities in Education: A Closer Focus on School Discipline
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Author
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Furukawa, Taylor
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Date Created
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2023
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Subjects--Topical
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Education, Statistics, Social sciences--Research
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Description
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Disproportionalities in school discipline have become a popular research topic in recent decades, particularly at the school-, district-, and state-level. While there are a handful of reports using nationally representative data, this study provid...
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Title
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Intermittency for Branching random walks with heavy tails.
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Author
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Getan, Asmaa
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in gener-ation n produces some random number of individuals in the next generation, n + 1, according to a certain probability di...
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Title
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Interval Estimation for Semiparametric Predictive Regression
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Author
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Hong, Shaoxin
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Date Created
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2018
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Subjects--Topical
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Statistics
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Description
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Predictive regression is an important research topic in financial econometrics. Various estimation methods have been proposed for it, but they suffer from complicated asymptotic limits which depend on whether or not the predicting variable is stat...
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Title
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Inverse source problems for elliptic and parabolic equations
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Author
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Li, Qitong
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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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In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...
