Abelian Integral Method And Its Application, 2020 The University of Western Ontario

#### Abelian Integral Method And Its Application, Xianbo Sun

*Electronic Thesis and Dissertation Repository*

Oscillation is a common natural phenomenon in real world problems. The most efficient mathematical models to describe these cyclic phenomena are based on dynamical systems. Exploring the periodic solutions is an important task in theoretical and practical studies of dynamical systems.

Abelian integral is an integral of a polynomial differential 1-form over the real ovals of a polynomial Hamiltonian, which is a basic tool in complex algebraic geometry. In dynamical system theory, it is generalized to be a continuous function as a tool to study the periodic solutions in planar dynamical systems. The zeros of Abelian integral and their distributions ...

Modeling The Effects Of Passive Immunity In Birds For The Disease Dynamics Of West Nile Virus, 2020 Dixie State University

#### Modeling The Effects Of Passive Immunity In Birds For The Disease Dynamics Of West Nile Virus, Noelle West, Vinodh K. Chellamuthu

*Spora: A Journal of Biomathematics*

West Nile Virus (WNV) is a mosquito-borne virus that circulates among birds but also affects humans. Migrating birds carry these viruses from one place to another each year. WNV has spread rapidly across the continental United States resulting in numerous human infections and deaths. Several studies suggest that larval mosquito control measures should be taken as early as possible in a season to control the mosquito population size. Also, adult mosquito control measures are necessary to prevent the transmission of WNV from mosquitoes to birds and humans. To better understand the effective strategy for controlling affected larvae mosquito population, we ...

Studies Of Oval Tube And Fin Heat Exchangers, 2020 Embry-Riddle Aeronautical University

#### Studies Of Oval Tube And Fin Heat Exchangers, Phillip Nielsen

*Discovery Day - Prescott*

Heating Ventilation and air-conditioning (HVAC) is a system which changes the temperature of the surroundings for the purposes of cooling or heating. This system requires energy to maintain a temperature difference from the outside temperature. This is important since minimized power is one of the requirements for the system to achieve a better efficiency. Optimizing the flow over the evaporator coils is one way to increase the cooling efficiency. This will reduce the power required to have a sustainable system. Optimizing the flow to increase the energy transfer between the fins and the incoming air could result in a greater ...

D-Vine Copula Model For Dependent Binary Data, 2020 Old Dominion University

#### D-Vine Copula Model For Dependent Binary Data, Huihui Lin, N. Rao Chaganty

*College of Sciences Posters*

High-dimensional dependent binary data are prevalent in a wide range of scientific disciplines. A popular method for analyzing such data is the Multivariate Probit (MP) model. But the MP model sometimes fails even within a feasible range of binary correlations, because the underlying correlation matrix of the latent variables may not be positive definite. In this research, we proposed pair copula models, assuming the dependence between the binary variables is first order autoregressive (AR(1))or equicorrelated structure. Also, when Archimediean copula is used, most paper converted Kendall Tau to corresponding copula parameter, there is no explicit function of Pearson ...

Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems, 2020 The University of Southern Mississippi

#### Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems, Subagya Perera

*Master's Theses*

In this thesis, we solve nonlinear differential equations by the homotopy analysis method (HAM), which is a semi-analytic method first introduced by Shijun Liao in 1992. The modified HAM can be viewed as a more generalized method that encloses many perturbation and non-perturbation methods. It is different from perturbation or other analytical methods in that it allows considerable freedomformanyvariables. Using the modified HAM, especially zero-order and higher-order deformation equations, we solve a nonlinear initial value problem and a nonlinear eigenvalue problem. We adjust the convergence region of a solution by modifying auxiliary parameter values. The results converge in very few ...

Wilson Sensor Footballs: Consistency Metric, 2020 Ohio Northern University

#### Wilson Sensor Footballs: Consistency Metric, Kenneth Eaton

*Honors Capstone Enhancement Presentations*

No abstract provided.

A Time Integration Method Of Approximate Particular Solutions For Nonlinear Ordinary Differential Equations, 2020 The University of Southern Mississippi

#### A Time Integration Method Of Approximate Particular Solutions For Nonlinear Ordinary Differential Equations, Cyril Ocloo

*Master's Theses*

We consider a time-dependent method which is coupled with the method of approximate particular solutions (MAPS) of Delta-shaped basis functions and the method of fundamental solutions (MFS) to solve nonlinear ordinary differential equations. Firstly, we convert a nonlinear problem into a sequence of time-dependent non-homogeneous boundary value problems through a fictitious time integration method. The superposition principle is applied to split the numerical solution at each time step into an approximate particular solution and a homogeneous solution. Delta-shaped basis functions are used to provide an approximation of the source function at each time step. The purpose of this is to ...

Using Modern Portfolio Theory To Analyze Virgil's Aeneid (Or Any Other Poem), 2020 The University of Southern Mississippi

#### Using Modern Portfolio Theory To Analyze Virgil's Aeneid (Or Any Other Poem), David Patterson

*Master's Theses*

This paper demonstrates that it is possible to use mathematics to study literature as it has been used to study the social sciences. By focusing on mathematically defining economic and literary terms, it can be shown that the underlying mathematical structure behind key concepts in economics and literature are analogous. This opens the possibility of applying economic models in literature. Specifically, it is demonstrated that the economic mathematical model of modern portfolio theory can answer long standing questions around the Roman epic Aeneid by Virgil. The poet died before completing his poem. The relative completeness of the books of the ...

Improved Filtering Of Electron Tomography Edx Data, 2020 University of South Carolina - Columbia

#### Improved Filtering Of Electron Tomography Edx Data, Kelsey M. Larkin

*Senior Theses*

Electron microscopy is a very exciting field, which has shown huge developments in the last few decades. There is a continuous development of new methods which feature atomic level resolution. One of these methods is the energy dispersive X-ray (EDX) spectroscopy, which allows the researchers to understand the chemical make-up of the sample. It is particularly exciting that we are able to make EDX tomographic reconstructions and view the 3D structure of a nano-object.

This thesis is focused on developing a new methodology for EDX tomography. In a typical EDX set-up, one detects X-rays from the sample with different energies ...

Nonnegative Matrix Factorization Problem, 2020 William & Mary

#### Nonnegative Matrix Factorization Problem, Junda An

*Undergraduate Honors Theses*

The Nonnegative Matrix Factorization (NMF) problem has been widely used to analyze high-dimensional nonnegative data and extract important features. In this paper, I review major concepts regarding NMF, some NMF algorithms and related problems including initialization strategies and near separable NMF. Finally I will implement algorithms on generated and real data to compare their performances.

Modeling Predator-Prey Interaction In A Two Patch System, 2020 University of Nebraska-Lincoln

#### Modeling Predator-Prey Interaction In A Two Patch System, Marc Wade

*UCARE Research Products*

In this study we examine predator-prey relationships in the context of a two patch system. What is meant by a two patch system is that prey live in a habitat that consists of type 1 patches with an abundance of food and type 2 patches with no food. In our study, we will be assuming that predators cannot enter the first type of patch. We combine three well-established ecological theories: migration theory, optimal foraging theory, and the standard predator-prey model in order to answer the motivating question: "Under what environmental conditions is a predator population stable when predation can only ...

Non-Equilibrium Growth Of Metal Clusters On A Layered Material: Cu On Mos2, 2020 Iowa State University and Ames Laboratory

#### Non-Equilibrium Growth Of Metal Clusters On A Layered Material: Cu On Mos2, Dapeng Jing, Ann Lii-Rosales, King C. Lai, Qiang Li, Jaeyoun Kim, Michael C. Tringides, James W. Evans, Patricia A. Thiel

*Chemistry Publications*

We use a variety of experimental techniques to characterize Cu clusters on bulk MoS2 formed via physical vapor deposition of Cu in ultrahigh vacuum, at temperatures ranging from 300 K to 900 K. We find that large facetted clusters grow at elevated temperatures, using high Cu exposures. The cluster size distribution is bimodal, and under some conditions, large clusters are surrounded by a denuded zone. We propose that defect-mediated nucleation, and coarsening during deposition, are both operative in this system. At 780 K, a surprising type of facetted cluster emerges, and at 900 K this type predominates: Pyramidal clusters with ...

The Use Of Digital Applications And Websites In Completing Math Assignments, 2020 Concordia University - Portland

#### The Use Of Digital Applications And Websites In Completing Math Assignments, Ronna Williams

*Ed.D. Dissertations*

There is a large assortment of digital applications and websites available for students to use in completing their math assignments. The problem is how and why they are using these applications. This study looked at the different applications and websites used by students, including Slader, Wolfram Alpha, Symbolab, Desmos, and Photomath. The study then explored why students used these applications and websites. The idea of plagiarism in mathematics was presented to the students in this study. The review of the literature included the concepts of plagiarism and cheating and illustrated that students have a history of using tools for accomplishing ...

Numerical Analysis Of Three-Dimensional Mhd Flow Of Casson Nanofluid Past An Exponentially Stretching Sheet, 2020 S 'O' A Deemed to be University

#### Numerical Analysis Of Three-Dimensional Mhd Flow Of Casson Nanofluid Past An Exponentially Stretching Sheet, Madhusudan Senapati, Kharabela Swain, Sampad Kumar Parida

*Karbala International Journal of Modern Science*

The convective three dimensional electrically conducting Casson nanofluid flow over an exponentially stretching sheet embedded in a saturated porous medium and subjected to thermal as well as solutal slip in the presence of externally applied transverse magnetic field (force-at-a-distance) is studied. The heat transfer phenomenon includes the viscous dissipation, Joulian dissipation, thermal radiation, contribution of nanofluidity and temperature dependent volumetric heat source. The study of mass diffusion in the presence of chemically reactive species enriches the analysis. The numerical solutions of coupled nonlinear governing equations bring some earlier reported results as particular cases providing a testimony of validation of the ...

Modeling Nonlinear Heat Transfer For A Pin-On-Disc Sliding System, 2020 Air Force Institute of Technology

#### Modeling Nonlinear Heat Transfer For A Pin-On-Disc Sliding System, Brian A. Boardman

*Theses and Dissertations*

The objective of this research is to develop a numerical method to characterize heat transfer and wear rates for samples of Vascomax® 300, or Maraging 300, steel. A pin-on-disc experiment was conducted in which samples were exposed to a high-pressure, high-speed, sliding contact environment. This sliding contact generates frictional heating that influences the temperature distribution and wear characteristics of the test samples. A two-dimensional nonlinear heat transfer equation is discretized and solved via a second-order explicit finite difference scheme to predict the transient temperature distribution of the pin. This schematic is used to predict the removal of material from the ...

Block And Weddle Methods For Solving Nth Order Linear Retarded Volterra Integro-Differential Equations, 2020 University of Technology, Iraq

#### Block And Weddle Methods For Solving Nth Order Linear Retarded Volterra Integro-Differential Equations, Raghad Kadhim Salih

*Emirates Journal for Engineering Research*

A proposed method is presented to solve n^{th} order linear retarded Volterra integro-differential equations (RVIDE's) numerically by using fourth-order block and Weddle methods. Comparison between numerical and exact results has been given in numerical examples for conciliated the accuracy of the results of the proposed scheme.

Numerical Solution For Solving Two-Points Boundary Value Problems Using Orthogonal Boubaker Polynomials, 2020 University of Technology, Iraq

#### Numerical Solution For Solving Two-Points Boundary Value Problems Using Orthogonal Boubaker Polynomials, Imad Noah Ahmed

*Emirates Journal for Engineering Research*

In this paper, a new technique for solving boundary value problems (BVPs) is introduced. An orthogonal function for Boubaker polynomial was utilizedand by the aid of Galerkin method the BVP was transformed to a system of linear algebraic equations with unknown coefficients, which can be easily solved to find the approximate result. Some numerical examples were added with illustrations, comparing their results with the exact to show the efficiency and the applicability of the method.

A Demographic Model Of An Endangered Florida Native Bromeliad (Tillandsia Utriculata), 2020 Rhodes College

#### A Demographic Model Of An Endangered Florida Native Bromeliad (Tillandsia Utriculata), Zoe S. Brookover, Alexandra M. Campbell, Brian D. Christman, Sydney L. Davis, Erin N. Bodine

*Spora: A Journal of Biomathematics*

The large, long-lived, epiphytic bromeliad *Tillandsia utriculata* is currently listed as state-endangered in Florida due to significant population reduction from predation by an invasive weevil, *Metamasius callizona*. We have developed a novel demographic model of a population of *T. utriculata* in Myakka River State Park (MRSP) in Sarasota, Florida using a stage-structured matrix model. Analysis of the model revealed conditions for population viability over a variety of parameter scenarios. Model analysis showed that without weevil predation the minimum germination rate required for population viability is low (4–16%), and that given a viable population at structural equilibrium we would expect ...

Finding Music In Chaos: Designing And Composing With Virtual Instruments Inspired By Chaotic Equations, 2020 Louisiana State University

#### Finding Music In Chaos: Designing And Composing With Virtual Instruments Inspired By Chaotic Equations, Landon P. Viator

*LSU Doctoral Dissertations*

Using chaos theory to design novel audio synthesis engines has been explored little in computer music. This could be because of the difficulty of obtaining harmonic tones or the likelihood of chaos-based synthesis engines to explode, which then requires re-instantiating of the engine to proceed with sound production. This process is not desirable when composing because of the time wasted fixing the synthesis engine instead of the composer being able to focus completely on the creative aspects of composition. One way to remedy these issues is to connect chaotic equations to individual parts of the synthesis engine instead of relying ...

Describing Quasi-Graphic Matroids, 2020 Wright State University - Main Campus

#### Describing Quasi-Graphic Matroids, Nathan Bowler, Daryl Funk, Dan Slilaty

*Mathematics and Statistics Faculty Publications*

The class of quasi-graphic matroids recently introduced by Geelen, Gerards, and Whittle generalises each of the classes of frame matroids and liftedgraphic matroids introduced earlier by Zaslavsky. For each biased graph (G, B) Zaslavsky defined a unique lift matroid L(G, B) and a unique frame matroid F(G, B), each on ground set E(G). We show that in general there may be many quasi-graphic matroids on E(G) and describe them all: for each graph G and partition (B, L, F) of its cycles such that B satisfies the theta property and each cycle in L meets each ...