Mathematics Commons^™

On The Effect Of Temperature And Pressure Gradient On The Flow Of Non-Homogeneous Fluids, Joseph Anthony Fiordilino

Theses, Dissertations and Culminating Projects

not available

Modeling Magnetic Separation Of Oil Spill Clean Up To Enhance Virtual Laboratory Learning In The Classroom, Kofi James

Theses, Dissertations and Culminating Projects

This thesis links an applied mathematics study of oil spill cleanup to a mathematics education study of the efficacy of virtual laboratory activities in physical and mathematical sciences. Oil spills will be investigated using a multi-phase Navier-Stokes Direct Numerical Simulation (DNS) code for magnetic fluids, also known as ferrofluids. Simulations model cases that are not possible to study in a laboratory experiment or in the real world. Simulation results show that scaling up this process involves fluid mechanical obstacles and that real world effects, such as seawater contamination, will also impact cleanup effectiveness. A physics laboratory classroom curriculum based on …

Partial Colorings Of Graphs, Matthew Jakubowski

Theses, Dissertations and Culminating Projects

Recently, there has been great interest in counting the number of homomorphisms from a graph G into a fixed image graph H. For this thesis, we let H be a complete graph on three vertices with exactly one looped vertex. Homomorphisms from a graph G to this H correspond to partial proper two-colorings of the vertices of G. We are mainly interested in finding which graphs maximize the number of partial two-colorings given a graph with n vertices and m edges. The general result is given for all graphs with m < n -1 as well as basic enumerative results for some very common graphs.

Geometrical Prediction Models Of Visceral Adipose Tissue, Robert Cowell Moore

Theses, Dissertations and Culminating Projects

Objective: Trunk shape is a known predictor of amounts of visceral adipose tissue (VAT). The amount of total adipose tissue in the abdomen also predicts visceral adipose tissue mass but it is unknown how much of VAT can be attributed to abdominal shape versus size. Using two new measures derived from external measures such as hip circumference and waist circumference, we investigated how shape and adiposity along with demographic covariates are related to amounts of visceral adipose tissue. These new measures are known as Trunk Shape and Trunk Size. These measures were then used to develop models that predicted the …

Quantitative Literacy And High School Mathematics : The Evolution Of A Collaboratively Constructed Course And Its Impact On Students' Attitudes And Numeracy, Mark Francis Russo

Theses, Dissertations and Culminating Projects

This study describes a practitioner action research project in which I co-constructed a high school mathematics elective course with my students. The focus of the course was on developing students’ quantitative literacy. I examined the impact of the coconstruction process on the evolution of the course, analyzed how the course influenced students’ quantitative literacy and attitudes about mathematics, and reflected on some of the lessons I learned about making mathematics more relevant for my students. This study fills a gap in the literature by describing the impact of a quantitative literacy course at the high school level and by documenting …

Stochastic Order Relations Among Parallel Systems From Weibull Distributions, Nuria Torrado, Subhash C. Kochar

Mathematics and Statistics Faculty Publications and Presentations

In this article, we focus on stochastic orders to compare the magnitudes of two parallel systems from Weibull distributions when one set of scale parameters majorizes the other. The new results obtained here extend some of those proved by Dykstra et al. (1997) and Joo and Mi (2010) from exponential to Weibull distributions. Also, we present some results for parallel systems from multiple-outlier Weibull models.

Gpu Accelerated Approach To Numerical Linear Algebra And Matrix Analysis With Cfd Applications, Adam Phillips

HIM 1990-2015

A GPU accelerated approach to numerical linear algebra and matrix analysis with CFD applications is presented. The works objectives are to (1) develop stable and efficient algorithms utilizing multiple NVIDIA GPUs with CUDA to accelerate common matrix computations, (2) optimize these algorithms through CPU/GPU memory allocation, GPU kernel development, CPU/GPU communication, data transfer and bandwidth control to (3) develop parallel CFD applications for Navier Stokes and Lattice Boltzmann analysis methods. Special consideration will be given to performing the linear algebra algorithms under certain matrix types (banded, dense, diagonal, sparse, symmetric and triangular). Benchmarks are performed for all analyses with baseline …

Results On Edge-Colored Graphs And Pancyclicity, James Carraher

Department of Mathematics: Dissertations, Theses, and Student Research

This thesis focuses on determining when a graph with additional structure contains certain subgraphs, particularly circuits, cycles, or trees. The specific problems and presented results include a blend of many fundamental graph theory concepts such as edge-coloring, routing problems, decomposition problems, and containing cycles of various lengths. The three primary chapters in this thesis address the problems of finding eulerian circuits with additional restrictions, decomposing the edge-colored complete graph K_n into rainbow spanning trees, and showing a 4-connected claw-free and N(3,2,1)-free graph is pancyclic.

Adviser: Stephen G. Hartke

Polynomial Factoring Algorithms And Their Computational Complexity, Nicholas Cavanna

Honors Scholar Theses

Finite fields, and the polynomial rings over them, have many neat algebraic properties and identities that are very convenient to work with. In this paper we will start by exploring said properties with the goal in mind of being able to use said properties to efficiently irreducibly factorize polynomials over these fields, an important action in the fields of discrete mathematics and computer science. Necessarily, we must also introduce the concept of an algorithm’s speed as well as particularly speeds of basic modular and integral arithmetic opera- tions. Outlining these concepts will have laid the groundwork for us to introduce …

High Frequency Data: Modeling Durations Via The Acd And Log Acd Models, Lilian Cheung

Honors Scholar Theses

This thesis proposes a method of finding initial parameter estimates in the Log ACD₁ model for use in recursive estimation. The recursive estimating equations method is applied to the Log ACD₁ model to find recursive estimates for the unknown parameters in the model. A literature review is provided on the ACD and Log ACD models, and on the theory of estimating equations. Monte Carlo simulations indicate that the proposed method of finding initial parameter estimates is viable. The parameter estimation process is demonstrated by fitting an ACD model and a Log ACD model to a set of IBM …

Permutation Groups And Puzzle Tile Configurations Of Instant Insanity Ii, Amanda N. Justus

Electronic Theses and Dissertations

The manufacturer claims that there is only one solution to the puzzle Instant Insanity II. However, a recent paper shows that there are two solutions. Our goal is to find ways in which we only have one solution. We examine the permutation groups of the puzzle and use modern algebra to attempt to fix the puzzle. First, we find the permutation group for the case when there is only one empty slot at the top. We then examine the scenario when we add an extra column or an extra row to make the game a 4 × 5 puzzle or …

Physiologically-Based Pharmacokinetic Model For Ertapenem, Whitney Forbes

Electronic Theses and Dissertations

Ertapenem is a carbapenem used to treat a wide range of bacterial infections. What sets ertapenem apart from other carbapenems is its longer half-life which implies it need only be administered once daily. We developed a physiologically-based pharmacokinetic model for the distribution of ertapenem within the body. In the model, parameters such as human body weight and height, age, organ volumes, blood flow rates, and partition coefficients of particular tissues are used to examine the absorption, distribution, metabolism, and excretion of ertapenem. The total and free blood concentrations found were then compared to experimental data. We then examined the sensitivity …

The Number Of Zeros Of A Polynomial In A Disk As A Consequence Of Restrictions On The Coefficients, Brett A. Shields Mr.

Electronic Theses and Dissertations

In this thesis, we put restrictions on the coefficients of polynomials and give bounds concerning the number of zeros in a specific region. Our results generalize a number of previously known theorems, as well as implying many new corollaries with hypotheses concerning monotonicity of the modulus, real, as well as real and imaginary parts of the coefficients separately. We worked with Enestr\"{o}m-Kakeya type hypotheses, yet we were only concerned with the number of zeros of the polynomial. We considered putting the same type of restrictions on the coefficients of three different types of polynomials: polynomials with a monotonicity``flip" at some …

Are Highly Dispersed Variables More Extreme? The Case Of Distributions With Compact Support, Benedict E. Adjogah

Electronic Theses and Dissertations

We consider discrete and continuous symmetric random variables X taking values in [0; 1], and thus having expected value 1/2. The main thrust of this investigation is to study the correlation between the variance, Var(X) of X and the value of the expected maximum E(Mn) = E(X1,...,Xn) of n independent and identically distributed random variables X1,X2,...,Xn, each distributed as X. Many special cases are studied, some leading to very interesting alternating sums, and some progress is made towards a general theory.

The Optimal Release Of Sterile Males In Pest Management, Sergio Ramirez

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

With an application of the sterile insect technique, it is our goal to know the optimal rate of production of sterile males in order to control an insect pest invasion and protect crops. Starting with a fundametal relationship between costs of production and feeding rates, we construct an objective functional. We then use the relationships between the dierent stages of female reproduction to build the state equations. Once, we have dened the optimal control problem, we use the simulated annealing algorithm to determine the amount of sterile males to be released at each discrete time event. Multiple calculations are made …

Modeling Asset Volatility Using Various Resources, Isaac G. Blackhurst

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Volatility is of central interest in modern financial econometrics. This thesis evaluates three different methods of measuring volatility.

Categorical Data Analysis Of First-Year Programs And Its Effect On Retention Of Lsu First-Year Students, Morgan Matchett

Honors Capstones

No abstract provided.

Introduction Of Advanced Math Concepts Through A Geometry Project, Emelie Mativi

Honors Capstones

No abstract provided.

Modeling Dengue Transmission And Vaccination, Abhishek Pandey

All Dissertations

Dengue is one of the most rapidly spreading mosquito-borne viral diseases in the world and inflicts significant health, economic and social burdens on populations. In this dissertation, I studied different aspects of modeling of dengue and vector-borne diseases in general. Among various dengue models that have appeared in literature, some explicitly model the mosquito population, while others model them implicitly. In spite of extensive use of both modeling approaches, little guidance exists for which type of model should be preferred. I developed a Bayesian approach that uses a Markov chain Monte Carlo (MCMC) method to fit disease models to epidemiological …

Identifying Codes And Domination In The Product Of Graphs, Kirsti Wash

All Dissertations

An identifying code in a graph is a dominating set that also has the property that the closed neighborhood of each vertex in the graph has a distinct intersection with the set. The minimum cardinality of an identifying code in a graph $G$ is denoted $\gid(G)$. We consider identifying codes of the direct product $K_n \times K_m$. In particular, we answer a question of Klav\v{z}ar and show the exact value of $\gid(K_n \times K_m)$. It was recently shown by Gravier, Moncel and Semri that for the Cartesian product of two same-sized cliques $\gid(K_n \Box K_n) = \lfloor{\frac{3n}{2}\rfloor}$. Letting $m \ge …