Quantifying Pollen Traits To Build A Mathematical Model Of Pollen Competition - A Biologist's Perspective, 2019 Valparaiso University

#### Quantifying Pollen Traits To Build A Mathematical Model Of Pollen Competition - A Biologist's Perspective, Rob Swanson, Alex Capaldi

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Stayin' Alive In Mathematical Biology: Opportunities, Strategies, And Experiences In Undergraduate Research In Mathematics, 2019 Benedictine University

#### Stayin' Alive In Mathematical Biology: Opportunities, Strategies, And Experiences In Undergraduate Research In Mathematics, Timothy Comar, Hannah Callender Highlander, Christopher Hay-Jahans

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, 2019 Benedictine University

#### Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

A Study Of Pharmacodynamic Model On Hn, 2019 Western Kentucky University

#### A Study Of Pharmacodynamic Model On Hn, Kamala Dadashova, Ferhan Atici

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

A Model Of Disease Vector Control With Imperfect Treatment, 2019 California University of Pennsylvania

#### A Model Of Disease Vector Control With Imperfect Treatment, Bismark Oduro

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, 2019 University of New Orleans

#### General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, Ronald Joseph Giardina Jr

*University of New Orleans Theses and Dissertations*

We will create a class of generalized ellipses and explore their ability to define a distance on a space and generate continuous, periodic functions. Connections between these continuous, periodic functions and the generalizations of trigonometric functions known in the literature shall be established along with connections between these generalized ellipses and some spectrahedral projections onto the plane, more specifically the well-known multifocal ellipses. The superellipse, or Lam\'{e} curve, will be a special case of the generalized ellipse. Applications of these generalized ellipses shall be explored with regards to some one-dimensional systems of classical mechanics. We will adopt the Ramberg-Osgood ...

Smoothness Of Defining Functions And The Diederich-Fornæss Index, 2019 University of Arkansas, Fayetteville

#### Smoothness Of Defining Functions And The Diederich-Fornæss Index, Felita Nadia Humes

*Theses and Dissertations*

Let Ω ⊂ Cn be a smooth, bounded, pseudoconvex domain, and let M ⊂ ∂Ω be a complex submanifold with rectifiable boundary. In 2017, Harrington studied the equation dM A = α ̃ on M, where α ̃ is D’Angelo’s 1-form and A is real. In this thesis, we will study a non-pseudoconvex example in which M has a non-rectifiable boundary. In spite of the lack of topological obstructions on the boundary, there are no continuous solutions to dM A = α ̃.

Characterizing Majority Rule On Various Discrete Models Of Consensus., 2019 University of Louisville

#### Characterizing Majority Rule On Various Discrete Models Of Consensus., Trevor Leach

*Electronic Theses and Dissertations*

In any social structure, there is often a need to reach decisions, not only within a group but between groups as well, sometimes even urgently so. Each of the individuals constituting these groups has their own preference for the decision to be made. We will discuss the problem of aggregating individual preferences into a collective preference and under what conditions we are required to select a collective majority. In this dissertation we will look at three models of consensus and show the conditions vary based on the model.

The Martingale Approach To Financial Mathematics, 2019 California Polytechnic State University, San Luis Obispo

#### The Martingale Approach To Financial Mathematics, Jordan M. Rowley

*Master's Theses and Project Reports*

In this thesis, we will develop the fundamental properties of financial mathematics, with a focus on establishing meaningful connections between martingale theory, stochastic calculus, and measure-theoretic probability. We first consider a simple binomial model in discrete time, and assume the impossibility of earning a riskless profit, known as arbitrage. Under this no-arbitrage assumption alone, we stumble upon a strange new probability measure *Q*, according to which every risky asset is expected to grow as though it were a bond. As it turns out, this measure *Q* also gives the arbitrage-free pricing formula for every asset on our market. In considering ...

Introduction To Synchro-Chimera State, 2019 Turin Polytechnic University in Tashkent

#### Introduction To Synchro-Chimera State, Aziza Yusupova

*Acta of Turin Polytechnic University in Tashkent*

In this work we find a new chimera state in smallest chimera region, the synchronization and chimera phenomena can be alternatively occurred over time intervals.

Pascal's Triangle, Pascal's Pyramid, And The Trinomial Triangle, 2019 California State University, San Bernardino

#### Pascal's Triangle, Pascal's Pyramid, And The Trinomial Triangle, Antonio Saucedo Jr.

*Electronic Theses, Projects, and Dissertations*

Many properties have been found hidden in Pascal's triangle. In this paper, we will present several known properties in Pascal's triangle as well as the properties that lift to different extensions of the triangle, namely Pascal's pyramid and the trinomial triangle. We will tailor our interest towards Fermat numbers and the hockey stick property. We will also show the importance of the hockey stick properties by using them to prove a property in the trinomial triangle.

Analyzing The Structural Properties Of Pulmonary Arterial Networks, 2019 North Carolina State University at Raleigh

#### Analyzing The Structural Properties Of Pulmonary Arterial Networks, Megan J. Chambers

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Disease Vectors, 2019 California University of Pennsylvania

#### Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Disease Vectors, Bismark Oduro, Winfried Just, Mario Grijalva

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Combinatorial Optimization: Introductory Problems And Methods, 2019 University of Connecticut

#### Combinatorial Optimization: Introductory Problems And Methods, Erin Brownell

*Honors Scholar Theses*

This paper will cover some topics of combinatorial optimization, the study of ﬁnding the best possible arrangement of a set of discrete objects. These topics include the shortest path problem and network ﬂows, which can be extended to solve more complex problems. We will also brieﬂy cover some basics of graph theory and solving linear programming problems to give context to the reader.

Do Metabolic Networks Follow A Power Law? A Psamm Analysis, 2019 University of Rhode Island

#### Do Metabolic Networks Follow A Power Law? A Psamm Analysis, Ryan Geib, Lubos Thoma, Ying Zhang

*Senior Honors Projects*

Inspired by the landmark paper “Emergence of Scaling in Random Networks” by Barabási and Albert, the field of network science has focused heavily on the power law distribution in recent years. This distribution has been used to model everything from the popularity of sites on the World Wide Web to the number of citations received on a scientific paper. The feature of this distribution is highlighted by the fact that many nodes (websites or papers) have few connections (internet links or citations) while few “hubs” are connected to many nodes. These properties lead to two very important observed effects: the ...

Realization Of Tensor Product And Of Tensor Factorization Of Rational Functions, 2019 Chapman University

#### Realization Of Tensor Product And Of Tensor Factorization Of Rational Functions, Daniel Alpay, Izchak Lewkowicz

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

We study the state space realization of a tensor product of a pair of rational functions. At the expense of “inflating” the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, we introduce an explicit formula for a *tensor factorization* of this function.

Generating Spectra Using Pca-Based Spectral Mixture Models, 2019 Olivet Nazarene University

#### Generating Spectra Using Pca-Based Spectral Mixture Models, Joseph S. Makarewicz, Heather D. Makarewicz

*Scholar Week 2016 - present*

PCA-based spectra mixture models have been created for several laboratory mixture data sets. This presentation provides examples of spectra that were generated using PCA-based spectra mixture models.

A More Powerful Unconditional Exact Test Of Homogeneity For 2 × C Contingency Table Analysis, 2019 Chapman University

#### A More Powerful Unconditional Exact Test Of Homogeneity For 2 × C Contingency Table Analysis, Louis Ehwerhemuepha, Heng Sok, Cyril Rakovski

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

The classical unconditional exact *p*-value test can be used to compare two multinomial distributions with small samples. This general hypothesis requires parameter estimation under the null which makes the test severely conservative. Similar property has been observed for Fisher's exact test with Barnard and Boschloo providing distinct adjustments that produce more powerful testing approaches. In this study, we develop a novel adjustment for the conservativeness of the unconditional multinomial exact *p*-value test that produces nominal type I error rate and increased power in comparison to all alternative approaches. We used a large simulation study to empirically estimate ...

Algorithms For Bohemian Matrices, 2019 The University of Western Ontario

#### Algorithms For Bohemian Matrices, Steven E. Thornton

*Electronic Thesis and Dissertation Repository*

This thesis develops several algorithms for working with matrices whose entries are multivariate polynomials in a set of parameters. Such parametric linear systems often appear in biology and engineering applications where the parameters represent physical properties of the system. Some computations on parametric matrices, such as the rank and Jordan canonical form, are discontinuous in the parameter values. Understanding where these discontinuities occur provides a greater understanding of the underlying system.

Algorithms for computing a complete case discussion of the rank, Zigzag form, and the Jordan canonical form of parametric matrices are presented. These algorithms use the theory of regular ...

The Mathematical Modeling Of Ballet, 2019 Louisiana Tech University

#### The Mathematical Modeling Of Ballet, Kendall Gibson

*Mathematics Senior Capstone Papers*

This project aims to analyze the connections between ballet and mathematics. Specifically, this project focuses on analyzing the three-dimensional surfaces created as a dancer performs ballet choreography. The primary goal is to use a Vicon motion capture system in conjunction with MATLAB to model the three-dimensional lines and surfaces created by a dancer’s legs as she performs specific ballet movements. The movements used for this experiment were a pique turn and a rond de jambe. The data was collected using sensors to create objects in Vicon to record the position of the ankle, knee, and hip of the working ...