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 Queueing Theory: The Effects Of Randomly Bypassing Security, 2018 Dakota State University

#### Simulations And Queueing 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.

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 ...

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.

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.

Evaporation Of A Sessile Droplet On A Slope, 2018 Michigan Technological University

#### Evaporation Of A Sessile Droplet On A Slope, Mitch Timm

*Dissertations, Master's Theses and Master's Reports*

We theoretically examine the drying of a stationary liquid droplet on an inclined surface. Both analytical and numerical approaches are considered, while assuming that the evaporation results from a purely diffusive transport of the liquid vapor and that the contact line is a pinned circle. For the purposes of our analytical calculations, we suppose that the effect of gravity relative to the surface tension is weak, i.e. the Bond number (Bo) is small. Then, we express the shape of the drop and the vapor concentration field as perturbation expansions in terms of Bo. When the Bond number is zero ...

Sequential Probing With A Random Start, 2018 Claremont Colleges

#### Sequential Probing With A Random Start, Joshua Miller

*HMC Senior Theses*

Processing user requests quickly requires not only fast servers, but also demands methods to quickly locate idle servers to process those requests. Methods of finding idle servers are analogous to open addressing in hash tables, but with the key difference that servers may return to an idle state after having been busy rather than staying busy. Probing sequences for open addressing are well-studied, but algorithms for locating idle servers are less understood. We investigate sequential probing with a random start as a method for finding idle servers, especially in cases of heavy traffic. We present a procedure for finding the ...

A Mathematical Model Of A Corrosion System Containing Inhibitors, 2018 The University of Akron

#### A Mathematical Model Of A Corrosion System Containing Inhibitors, Abigael Frey

*Williams Honors College, Honors Research Projects*

A two dimensional model is developed to describe how organic and inorganic inhibitors slows down the corrosion damage of a coated metal plate that contains a defect. The model contains a metal covered on one side by a coating that contains organic and inorganic inhibitors, electrolytes that are on the outside of the coating, and a small defect in the coating. The defect is an area where the coating is more porous and allows the electrolytes to leak in faster. In this model the organic inhibitor is presumed to be dissolved into the coating and the inorganic inhibitor is released ...

Penalized Mixed-Effects Ordinal Response Models For High-Dimensional Genomic Data In Twins And Families, 2018 Virginia Commonwealth University

#### Penalized Mixed-Effects Ordinal Response Models For High-Dimensional Genomic Data In Twins And Families, Amanda E. Gentry

*Theses and Dissertations*

The Brisbane Longitudinal Twin Study (BLTS) was being conducted in Australia and was funded by the US National Institute on Drug Abuse (NIDA). Adolescent twins were sampled as a part of this study and surveyed about their substance use as part of the Pathways to Cannabis Use, Abuse and Dependence project. The methods developed in this dissertation were designed for the purpose of analyzing a subset of the Pathways data that includes demographics, cannabis use metrics, personality measures, and imputed genotypes (SNPs) for 493 complete twin pairs (986 subjects.) The primary goal was to determine what combination of SNPs and ...

Hyperplanes Equipartition With Cascading Makeev, 2018 Bard College

#### Hyperplanes Equipartition With Cascading Makeev, Jialin Zhang

*Senior Projects Spring 2018*

Given a ﬁnite number of masses in the Euclidean space, one could ask is it possible to equipartition these masses into equal parts. Fixing the collection of masses, and the amount of hyperplanes, the equipartition-ability depends on the dimension, and there exists a dimension of such equipartition is possible. In this paper, topology and combinatorics method are used for estimating the lower bound and upper bound of the dimension. In particular, we are looking equipartition problem together with Cascading Makeev Constrain.

Supersymmetry And The Math Of Adinkras, 2018 Bard College

#### Supersymmetry And The Math Of Adinkras, Ari Putt Spiesberger

*Senior Projects Fall 2018*

The purpose of this paper is to expand the dictionary of values related to parameterized supersymmetry values. These values, represented by Adinkras, are some of the most fascinating explanations of theoretical supersymmetry that exist. My goal was to approach and define an equivalence class on a specific value that had yet to be defined. I was able to do this, and in doing so, present information on a larger equivalence class in the field surrounding Adinkras.

Generating Species Assemblages For Restoration And Experimentation: A New Method That Can Simultaneously Converge On Average Trait Values And Maximize Functional Diversity, 2018 University of Wyoming

#### Generating Species Assemblages For Restoration And Experimentation: A New Method That Can Simultaneously Converge On Average Trait Values And Maximize Functional Diversity, David C. Laughlin, Loïc Chalmandrier, Chaitanya Joshi, Michael Renton, John M. Dwyer, Jennifer L. Funk

*Biology, Chemistry, and Environmental Sciences Faculty Articles and Research*

1.Restoring resilient ecosystems in an era of rapid environmental change requires a flexible framework for selecting assemblages of species based on functional traits. However, current trait‐based models have been limited to algorithms that select species assemblages that only converge on specified average trait values, and could not accommodate the common desire among restoration ecologists to generate functionally diverse assemblages.

2.We have solved this problem by applying a nonlinear optimization algorithm to solve for the species relative abundances that maximize Rao's quadratic entropy (*Q*) subject to other linear constraints. Rao's *Q* is a closed‐form algebraic ...