Search results | J. Murrey Atkins Library

Title: An Integrated Phylogeographic Analysis of the Bantu Migration
Author: Ford, Colby
Date Created: 2018
Subjects--Topical: Computer science, Mathematics, Genetics
Description: "Bantu" is a term used to describe lineages of people in around 600 different ethnic groups on the African continent ranging from modern-day Cameroon to South Africa. The migration of the Bantu people, which occurred around 3,000 years ago, was in...

Title: EFFECTS OF PEER-MEDIATED INSTRUCTION ON MATHEMATICAL PROBLEM SOLVING FOR STUDENTS WITH MODERATE/SEVERE INTELLECTUAL DISABILITY
Author: Ley Davis, Luann
Date Created: 2016
Subjects--Topical: Special education, Multicultural education, Mathematics
Description: The No Child Left Behind Act (NCLB, 2006) set a precedent that established even higher expectations for all students, including those with disabilities. More recently, the National Governors Association Center for Best Practices and the Council of...

Title: Goodness-of-Fit Tests Under Permutations
Author: Chen, Chen
Date Created: 2019
Subjects--Topical: Statistics, Mathematics, Information science
Description: 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....

Title: IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
Author: Baker, Katherine
Date Created: 2014
Subjects--Topical: Mathematics
Description: 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...

Title: GLOBAL CONVERGENCE AND QUASI REVERSIBILITY FOR COEFFICIENT INVERSE PROBLEMS
Author: Kuzhuget, Andrey
Date Created: 2011
Subjects--Topical: Mathematics
Description: An inverse problem of the determination of an initial condition in ahyperbolic equation from the lateral Cauchy data is considered. Thisproblem has applications to the thermoacoustic tomography, as wellas to linearized coefficient inverse problems...

Title: Generalized semiparametric varying-coefficient models for longitudinal data
Author: Qi, Li
Date Created: 2015
Subjects--Topical: Mathematics, Statistics, Biometry
Description: 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...

Title: HIGH CONFIDENCE SET REGULARIZATION IN SPARSE HIGH DIMENSIONAL LOGISTIC REGRESSION WITH MEASUREMENT ERROR
Author: Rao, Maorong
Date Created: 2019
Subjects--Topical: Mathematics
Description: l1 based regularization such as Lasso and Dantizg Selector succeed in two aspects. First,the inherent sparsity of l1 accords with the underlying nature of high dimensional data; second, the convexity essence paves the way to computational feasibil...

Title: Hybrid solvation models for electrostatic interactions in molecular dynamics simulations of ionic solvent
Author: Xiang, Ming
Date Created: 2012
Subjects--Topical: Mathematics, Biochemistry, Biophysics
Description: In this dissertation, we mainly discuss the image approximation methods to the reaction field and their applications to electrostatic interactions in molecular dynamics simulations. The Poisson-Boltzman (PB) equation, a three-dimensional second or...

Title: Mathematical Analysis of Markov Models for Social Processes
Author: Whitmeyer, Joseph
Date Created: 2010
Subjects--Topical: Mathematics
Description: We present Markov models for two social processes: the spread of rumors and the change in the spatial distribution of a population over time. For the spread of rumors, we present two models. The first is for the situation in which all particles ar...

Title: March Madness prediction using quantile regression
Author: Mays, Kimberly
Date Created: 2022
Subjects--Topical: Statistics, Mathematics
Description: The annual NCAA Division I men’s basketball tournament is one of the most prominent sporting events in the United States and the subject of much interest among fans and statisticians alike. In this work, we propose a new method for predicting ther...

Title: Long Concavity of the Power Partition Function
Author: Benfield, Brennan
Date Created: 2020
Subjects--Topical: Mathematics
Description: The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...

Title: Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Author: Davis, Christopher
Date Created: 2011
Subjects--Topical: Mechanical engineering, Mathematics
Description: For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation using the conventional Finite Element Method (FEM). Many meshless methods introd...

Title: Improved Bounds on a Combinatorial Problem
Author: Page, Jacob
Date Created: 2021
Subjects--Topical: Mathematics
Description: 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 ...

Title: LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
Author: Turhan, Nezihe
Date Created: 2016
Subjects--Topical: Statistics, Mathematics
Description: The goal of this dissertation is to develop some classical limit theorems for the additive functionals of the homogeneous Markov chains in the special class of the so-called, Loop Markov Chains. The additive functionals of the Markov chains have t...

Title: LIMIT THEOREMS FOR REACTION DIFFUSION MODELS
Author: Feng, Yaqin
Date Created: 2011
Subjects--Topical: Mathematics
Description: We introduce two different reaction diffusion models: evolution of one-cell populations in the presence of mitosis and continuous contact model.In the first model we consider the time evolution of the supercritical reaction diffusion-equation on t...

Title: LIMIT THEOREMS FOR RANDOM EXPONENTIAL SUMS AND THEIR APPLICATIONS TO INSURANCE AND THE RANDOM ENERGY MODEL
Author: Erturk, Huseyin
Date Created: 2016
Subjects--Topical: Mathematics, Statistics
Description: In this dissertation, we are mainly concerned with the sum of random exponentials. Here, the random variables are independent and identically distributed. Another distinctive assumption is the number of variables in this sum is a function of the c...

Title: Intermittency for Branching random walks with heavy tails.
Author: Getan, Asmaa
Date Created: 2016
Subjects--Topical: Mathematics
Description: 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...

Title: Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Author: Rowe, Ashley
Date Created: 2018
Subjects--Topical: Mathematics
Description: This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...

Title: EFFECTS OF THE SOLVE STRATEGY ON THE MATHEMATICAL PROBLEM SOLVING SKILLS OF SECONDARY STUDENTS WITH LEARNING DISABILITIES
Author: Freeman, Shaqwana
Date Created: 2013
Subjects--Topical: Special education, Mathematics, Education, Secondary
Description: Students with learning disabilities are most typically characterized as struggling readers (i.e., 80-90% of students are identified on the basis of reading failure; LD OnLine, 2008 Lerner, 1989; Lyon, Fletcher, Shaywitz, Torgesen, Wood, et al., 20...

Title: ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Author: Hulko, Artem
Date Created: 2018
Subjects--Topical: Mathematics
Description: 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...