Interpolating Between Multiplicities And F-Thresholds, 2018 University of Arkansas, Fayetteville

#### Interpolating Between Multiplicities And F-Thresholds, William D. Taylor

*Theses and Dissertations*

We define a family of functions, called s-multiplicity for each s>0, that interpolates between Hilbert-Samuel multiplicity and Hilbert-Kunz multiplicity by comparing powers of ideals to the Frobenius powers of ideals. The function is continuous in s, and its value is equal to Hilbert-Samuel multiplicity for small values of s and is equal to Hilbert-Kunz multiplicity for large values of s. We prove that it has an associativity formula generalizing the associativity formulas for Hilbert-Samuel and Hilbert-Kunz multiplicity. We also define a family of closures, called s-closures, such that if two ideals have the same s-closure then they have the ...

Clustering Mixed Data: An Extension Of The Gower Coefficient With Weighted L2 Distance, 2018 East Tennessee State University

#### Clustering Mixed Data: An Extension Of The Gower Coefficient With Weighted L2 Distance, Augustine Oppong

*Electronic Theses and Dissertations*

Sorting out data into partitions is increasing becoming complex as the constituents of data is growing outward everyday. Mixed data comprises continuous, categorical, directional functional and other types of variables. Clustering mixed data is based on special dissimilarities of the variables. Some data types may influence the clustering solution. Assigning appropriate weight to the functional data may improve the performance of the clustering algorithm. In this paper we use the extension of the Gower coefficient with judciously chosen weight for the L2 to cluster mixed data.The benefits of weighting are demonstrated both in in applications to the Buoy data ...

Spectra Of Quantum Trees And Orthogonal Polynomials, 2018 Louisiana State University and Agricultural and Mechanical College

#### Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang

*LSU Doctoral Dissertations*

We investigate the spectrum of regular quantum-graph trees, where the edges are endowed with a Schr\"odinger operator with self-adjoint Robin vertex conditions. It is known that, for large eigenvalues, the Robin spectrum approaches the Neumann spectrum. In this research, we compute the lower Robin spectrum. The spectrum can be obtained from the roots of a sequence of orthogonal polynomials involving two variables. As the length of the quantum tree increases, the spectrum approaches a band-gap structure. We find that the lowest band tends to minus infinity as the Robin parameter increases, whereas the rest of the bands remain positive ...

Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, 2018 Howard University

#### Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, Katharine Gurski, Kathleen Hoffman

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Three Essays On Structural Models, 2018 The University of Western Ontario

#### Three Essays On Structural Models, Xinghua Zhou

*Electronic Thesis and Dissertation Repository*

My thesis includes three papers on contingent claims valuation of corporate securities using structural models of credit risk. Our study focuses on structural models and their applications in estimating damages in security class actions, option pricing and warrant pricing. Securities class actions typically involve some misrepresentation by a firm that overstates its true value. In securities class actions econometric models are used to assess damages to shareholders. However, studies on measuring damages for debt-holders are limited. My first paper uses a modified Merton framework to measure the impact of misrepresentation on the value of other components (e.g., debt, warrants ...

Brightness Perception Involves Local Adaptation Opposed By Lateral Interaction, 2018 Graduate Center for Vision Research, State University of New York

#### Brightness Perception Involves Local Adaptation Opposed By Lateral Interaction, Qasim Zaidi, Romain Bachy, Jose-Manuel Alonso

*MODVIS Workshop*

No abstract provided.

Understanding Qualitative 3d Shape From Texture And Shading, 2018 Brown University

#### Understanding Qualitative 3d Shape From Texture And Shading, Benjamin Kunsberg, Steven W. Zucker

*MODVIS Workshop*

No abstract provided.

A Computational Model Of Team-Based Dynamics In The Workplace: Assessing The Impact Of Incentive-Based Motivation On Productivity, 2018 Duquesne University

#### A Computational Model Of Team-Based Dynamics In The Workplace: Assessing The Impact Of Incentive-Based Motivation On Productivity, Josef Di Pietrantonio

*Electronic Theses and Dissertations*

Large organizations often divide workers into small teams for the completion of essential tasks. In an effort to maximize the number of tasks completed over time, it is common practice for organizations to hire workers with the highest level of education and experience. However, despite capable workers being hired, the ability of teams to complete tasks may suffer if the workers' individual motivational needs are not satisfied.

To explore the impact of incentive-based motivation on the success of team-based organizations, we developed an agent-based model that stochastically simulates the proficiency of 100 workers with varying abilities and motive profiles to ...

Examples Of Solving The Wave Equation In The Hyperbolic Plane, 2018 Liberty University

#### Examples Of Solving The Wave Equation In The Hyperbolic Plane, Cooper Ramsey

*Senior Honors Theses*

The complex numbers have proven themselves immensely useful in physics, mathematics, and engineering. One useful tool of the complex numbers is the method of conformal mapping which is used to solve various problems in physics and engineering that involved Laplace’s equation. Following the work done by Dr. James Cook, the complex numbers are replaced with associative real algebras. This paper focuses on another algebra, the hyperbolic numbers. A solution method like conformal mapping is developed with solutions to the one-dimensional wave equation. Applications of this solution method revolve around engineering and physics problems involving the propagation of waves. To ...

Classifying Textual Fast Food Restaurant Reviews Quantitatively Using Text Mining And Supervised Machine Learning Algorithms, 2018 East Tennessee State University

#### Classifying Textual Fast Food Restaurant Reviews Quantitatively Using Text Mining And Supervised Machine Learning Algorithms, Lindsey Wright

*Undergraduate Honors Theses*

Companies continually seek to improve their business model through feedback and customer satisfaction surveys. Social media provides additional opportunities for this advanced exploration into the mind of the customer. By extracting customer feedback from social media platforms, companies may increase the sample size of their feedback and remove bias often found in questionnaires, resulting in better informed decision making. However, simply using personnel to analyze the thousands of relative social media content is financially expensive and time consuming. Thus, our study aims to establish a method to extract business intelligence from social media content by structuralizing opinionated textual data using ...

The Pope's Rhinoceros And Quantum Mechanics, 2018 Bowling Green State University

#### The Pope's Rhinoceros And Quantum Mechanics, Michael Gulas

*Honors Projects*

In this project, I unravel various mathematical milestones and relate them to the human experience. I show and explain the solution to the Tautochrone, a popular variation on the Brachistochrone, which details a major battle between Leibniz and Newton for the title of inventor of Calculus. One way to solve the Tautochrone is using Laplace Transforms; in this project I expound on common functions that get transformed and how those can be used to solve the Tautochrone. I then connect the solution of the Tautochrone to clock making. From this understanding of clocks, I examine mankind’s understanding of time ...

Atmospheric Radiation And Tgfs: Unexplained Radiation In Our Skies, 2018 Harding University

#### Atmospheric Radiation And Tgfs: Unexplained Radiation In Our Skies, Adrian Gallegos

*Honors College Research*

There is a significant correlation between atmospheric electrification via thunderstorms and the occurrence of large emissions of x-ray and gamma ray radiation known as Terrestrial Gamma Ray Flashes (TGFs). Some physical phenomenon may be explained by either the RREA or Thermal Runaway models, but the scientific community as a whole is still largely at work on the theoretical frameworks.

Simulations And Queuing Theory: The Effects Of Randomly Bypassing Security, 2018 Dakota State University

#### Simulations And Queuing Theory: The Effects Of Randomly Bypassing Security, Emily Ortmann

*Masters Theses & Doctoral Dissertations*

We discuss queueing theory in the setting of airport security and customs. By developing queueing simulations based on mathematical models, we explore a variety of questions related to optimal queue design with respect to efficiency, feasibility, priority, and other prescribed/variable constraints.

Simulations And Queueing Theory: The Effects Of Priority And Vip Thresholds, 2018 Dakota State University

#### Simulations And Queueing Theory: The Effects Of Priority And Vip Thresholds, Laura Schuck

*Masters Theses & Doctoral Dissertations*

Everyone has experienced waiting in lines, whether it is at the airport, the grocery store, or somewhere in-between. By developing queueing simulations based on mathematical models of airport security and customs, we explore a variety of questions related to optimal queue design with respect to efficiency, feasibility, priority, and other prescribed/variable constraints.

Score Test And Likelihood Ratio Test For Zero-Inflated Binomial Distribution And Geometric Distribution, 2018 Western Kentucky University

#### Score Test And Likelihood Ratio Test For Zero-Inflated Binomial Distribution And Geometric Distribution, Xiaogang Dai

*Masters Theses & Specialist Projects*

The main purpose of this thesis is to compare the performance of the score test and the likelihood ratio test by computing type I errors and type II errors when the tests are applied to the geometric distribution and inflated binomial distribution. We first derive test statistics of the score test and the likelihood ratio test for both distributions. We then use the software package R to perform a simulation to study the behavior of the two tests. We derive the R codes to calculate the two types of error for each distribution. We create lots of samples to approximate ...

Asymptotic Estimate Of Variance With Applications To Stochastic Differential Equations Arises In Mathematical Neuroscience, 2018 University of North Florida

#### Asymptotic Estimate Of Variance With Applications To Stochastic Differential Equations Arises In Mathematical Neuroscience, Mahbubur Rahman 6203748

*Showcase of Faculty Scholarly & Creative Activity*

Approximation of stochastic differential equations (SDEs) with parametric noise plays an important role in a range of application areas, including engineering, mechanics, epidemiology, and neuroscience. A complete understanding of SDE theory with perturbed noise requires familiarity with advanced probability and stochastic processes. In this paper, we derive an asymptotic estimate of variance, and it is shown that numerical method gives a useful step toward solving SDEs with perturbed noise. Our goal is to diffuse the results to an audience not entirely familiar with functional notations or semi-group theory, but who might nonetheless be interested in the practical simulation of dynamical ...

Essentials Of Structural Equation Modeling, 2018 Istanbul Commerce University

#### Essentials Of Structural Equation Modeling, Mustafa Emre Civelek

*Zea E-Books*

Structural Equation Modeling is a statistical method increasingly used in scientific studies in the fields of Social Sciences. It is currently a preferred analysis method, especially in doctoral dissertations and academic researches. However, since many universities do not include this method in the curriculum of undergraduate and graduate courses, students and scholars try to solve the problems they encounter by using various books and internet resources.

This book aims to guide the researcher who wants to use this method in a way that is free from math expressions. It teaches the steps of a research program using structured equality modeling ...

Mathematical Arguments In Favor Of Risk In Andy Weir's The Martian, 2018 Midwestern State University

#### Mathematical Arguments In Favor Of Risk In Andy Weir's The Martian, Sarah C. Cobb, Jeff B. Hood

*Journal of Humanistic Mathematics*

In Andy Weir’s novel *The Martian*, the characters encounter high-stakes, life-or-death situations, in which they must make choices based on their assessment of risk and likely outcomes. They have different reactions to risky situations, based on their approaches to assessing risk and their perspectives on the stakes involved. In this paper, we examine the ways that characters in *The Martian* intuitively assess risk and compare them to mathematical analysis of the situations in the book.

Predicting The Next Us President By Simulating The Electoral College, 2018 CUNY New York City College of Technology

#### Predicting The Next Us President By Simulating The Electoral College, Boyan Kostadinov

*Publications and Research*

We develop a simulation model for predicting the outcome of the US Presidential election based on simulating the distribution of the Electoral College. The simulation model has two parts: (a) estimating the probabilities for a given candidate to win each state and DC, based on state polls, and (b) estimating the probability that a given candidate will win at least 270 electoral votes, and thus win the White House. All simulations are coded using the high-level, open-source programming language R. One of the goals of this paper is to promote computational thinking in any STEM field by illustrating how probabilistic ...

Motion Planning For Educational Robots, 2018 Selected Works

#### Motion Planning For Educational Robots, Ronald I. Greenberg, Jeffery M. Karp

*Ronald Greenberg*

This paper considers various simple ways of navigating in a 2-dimensional territory with a two-wheeled robot of a type typical in educational robotics. We determine shortest paths under various modes of operation and compare.