Andrews Student Receives Prestigious Award-Mykhaylo M. Malakhov Awarded The Barry Goldwater Scholarship,
2018
Andrews University
Andrews Student Receives Prestigious Award-Mykhaylo M. Malakhov Awarded The Barry Goldwater Scholarship, Hannah Gallant
Andrews Agenda: Campus News
No abstract provided.
Lyapunov Functions To Caputo Fractional Neural Networks With Time-Varying Delays,
2018
Florida Institute of Technology
Lyapunov Functions To Caputo Fractional Neural Networks With Time-Varying Delays, Ravi P. Agarwal, Snezhana G. Hristova, Donal O'Regan
Mathematics and System Engineering Faculty Publications
One of the main properties of solutions of nonlinear Caputo fractional neural networks is stability and often the direct Lyapunov method is used to study stability properties (usually these Lyapunov functions do not depend on the time variable). In connection with the Lyapunov fractional method we present a brief overview of the most popular fractional order derivatives of Lyapunov functions among Caputo fractional delay differential equations. These derivatives are applied to various types of neural networks with variable coefficients and time-varying delays. We show that quadratic Lyapunov functions and their Caputo fractional derivatives are not applicable in some cases when …
Exploring The Use Of Predictive Analytics In Banking And Finance Decision-Making,
2018
Bridgewater State University
Exploring The Use Of Predictive Analytics In Banking And Finance Decision-Making, Melanie Tummino
Honors Program Theses and Projects
Predictive analytics is a branch of advanced analytics that is composed of various statistical techniques where each contributes in making predictions about future scenarios and outcomes. Some of these techniques include machine learning, artificial intelligence, data mining, predictive modeling, logistic regression, etc., and the patterns found in the results can be used to identify risks and opportunity. Predictive analytics is often associated with meteorology and weather forecasting due to the fact there are many attributes to contribute to a response, but generally, it has many applications in existing growing or established businesses, especially when it comes to decision-making about revenue, …
Exploring The Proportion Of Prime Numbers In Quadratic Extensions Of The Integers,
2018
Bridgewater State University
Exploring The Proportion Of Prime Numbers In Quadratic Extensions Of The Integers, Jamie Nelson
Honors Program Theses and Projects
No abstract provided.
On The Toughness Of Some Johnson Solids,
2018
Bridgewater State University
On The Toughness Of Some Johnson Solids, Sean Koval
Honors Program Theses and Projects
The Johnson solids are the 92 three-dimensional, convex solids (other than the Platonic and Archimedean solids) that can be formed with regular polygons. The purpose of this honor’s thesis work is to determine the toughness of some of the Johnson Solids and similar graphs. The Johnson solids can be broken up into classes of solids with certain characteristics. While there are only 92 Johnson solids in three dimensions, we can generate infinite classes of graphs in two dimensions with similar characteristics. We have identified some of these classes, studied the toughness of individual graphs and begun to analyze a few …
Possible Isolation Number Of A Matrix Over Nonnegative Integers,
2018
Utah State University
Possible Isolation Number Of A Matrix Over Nonnegative Integers, Leroy B. Beasley, Young Bae Jun, Seok-Zun Song
Mathematics and Statistics Faculty Publications
Let ℤ+ be the semiring of all nonnegative integers and A an m × n matrix over ℤ+. The rank of A is the smallest k such that A can be factored as an m × k matrix times a k×n matrix. The isolation number of A is the maximum number of nonzero entries in A such that no two are in any row or any column, and no two are in a 2 × 2 submatrix of all nonzero entries. We have that the isolation number of A is a lower bound of the rank of …
Golden Arm: A Probabilistic Study Of Dice Control In Craps,
2018
Monmouth University
Golden Arm: A Probabilistic Study Of Dice Control In Craps, Donald R. Smith, Robert Scott Iii
UNLV Gaming Research & Review Journal
This paper calculates how much control a craps shooter must possess on dice outcomes to eliminate the house advantage. A golden arm is someone who has dice control (or a rhythm roller or dice influencer). There are various strategies for dice control in craps. We discuss several possibilities of dice control that would result in several different mathematical models of control. We do not assert whether dice control is possible or not (there is a lack of published evidence). However, after studying casino-legal methods described by dice-control advocates, we can see only one realistic mathematical model that describes the resulting …
Exploring Dynamical Systems: Number Of Cycle And Cycle Lengths,
2018
Bridgewater State University
Exploring Dynamical Systems: Number Of Cycle And Cycle Lengths, Christine Marcotte
Honors Program Theses and Projects
No abstract provided.
Numerical Methods For A Two-Species Competition-Diffusion Model With Free Boundaries,
2018
University of South Carolina - Columbia
Numerical Methods For A Two-Species Competition-Diffusion Model With Free Boundaries, Shuang Liu, Xinfeng Liu
Faculty Publications
The systems of reaction-diffusion equations coupled with moving boundaries defined by Stefan condition have been widely used to describe the dynamics of spreading population and with competition of two species. To solve these systems numerically, new numerical challenges arise from the competition of two species due to the interaction of their free boundaries. On the one hand, extremely small time steps are usually needed due to the stiffness of the system. On the other hand, it is always difficult to efficiently and accurately handle the moving boundaries especially with competition of two species. To overcome these numerical difficulties, we introduce …
Mathematical Modelling Of English Coulee: Tanks In Series,
2018
University of North Dakota
Mathematical Modelling Of English Coulee: Tanks In Series, Matthew Picklo
Essential Studies UNDergraduate Showcase
In the scope of the College of Arts and Science project: “Coulee Cleanway: Modelling and Analysis of the English Coulee Physiochemical Environment, UND Campus, Grand Forks”, a mathematical model attempting to describe the transportation of dissolved species within the English Coulee was developed based on “Tanks in Series”. By dividing the channel into discrete regions, a governing system of equations derived from conservation of mass equations and well-mixed assumptions is used to describe the spatial and temporal changes in concentration. The resulting system of differential equations was solved by a Runge-Kutta 4 numerical method, which allowed for the addition of …
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 conclude, …
Creating A Predictive Model For Flowering Of Virginia Orchid, Cypripedium Pubescens,
2018
University of Lynchburg
Creating A Predictive Model For Flowering Of Virginia Orchid, Cypripedium Pubescens, Emily Horton
Undergraduate Theses and Capstone Projects
This research investigates the native Virginia orchid, Cyprepedium pubescens, or the large yellow lady-slipper. Researchers at Lynchburg College, located in central Virginia, collected orchid activity data over the span of nine years from 2006-2014. This data included the following information: when the first sprout appeared, the number of leaves, the number of flowers, and the number of flowers per each plant. Using collected data about nine orchids on the campus of Lynchburg College as a basis, we wanted create a model that would predict when we might see flowering on a yearly basis. Flowering is important because researchers are investigating …
Rubik’S Cube: The Invisible Solve,
2018
Bridgewater State University
Rubik’S Cube: The Invisible Solve, Allen Charest
Honors Program Theses and Projects
The Rubik’s Cube is one of the most popular and recognizable puzzles ever made. In this research, we use group theory to identify and analyze the different solutions for the Rubik’s Cube and its variations. Since they cannot be seen on a standard Rubik’s Cube, these different solutions are called invisible solves. But by putting specialized labels on each of the center pieces of a Rubik’s Cube, we are able to track each of the invisible solves and see how they are different from one another. Dependent on the size of the Rubik’s Cube, the number of distinct invisible solves …
Statistical Modeling Of Financial Time Series,
2018
Arkansas State University
Statistical Modeling Of Financial Time Series, Ranju Karki
Student Theses and Dissertations
This thesis presents a comprehensive report of my research in financial time series analysis from Fall 2017 to Spring 2018. It is focused on two main topics: clustering and modeling of financial time dependent information. The weighted five-day moving arc length is used as a measure of volatility, and we applied self-organizing maps to cluster the subject information. We perform a clustering procedure of financial time dependent information using several lag values, and Apple Incorporation and Google as the leading stocks. As a result, we discovered that there are others financial time dependent information present in the same cluster with …
Spillover Modes In Multiplex Games: Double-Edged Effects On Cooperation And Their Coevolution,
2018
Dartmouth College
Spillover Modes In Multiplex Games: Double-Edged Effects On Cooperation And Their Coevolution, Tommy Khoo, Feng Fu, Scott Pauls
Dartmouth Scholarship
In recent years, there has been growing interest in studying games on multiplex networks that account for interactions across linked social contexts. However, little is known about how potential cross-context interference, or spillover, of individual behavioural strategy impact overall cooperation. We consider three plausible spillover modes, quantifying and comparing their effects on the evolution of cooperation. In our model, social interactions take place on two network layers: repeated interactions with close neighbours in a lattice, and one-shot interactions with random individuals. Spillover can occur during the learning process with accidental cross-layer strategy transfer, or during social interactions with errors in …
Generalized Multiplicities Of Edge Ideals,
2018
Western Illinois University
Generalized Multiplicities Of Edge Ideals, Alie Alilooee, Ivan Soprunov, Javid Validashti
Mathematics and Statistics Faculty Publications
We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutative algebra and polyhedral geometry. For instance, we show that the j-multiplicity is multiplicative over the connected components of a hypergraph, and we explicitly relate the j-multiplicity of the edge ideal of a properly connected uniform hypergraph to the Hilbert–Samuel multiplicity of its special fiber ring. In addition, we provide general bounds for the generalized multiplicities of the edge ideals and compute these invariants for classes of uniform hypergraphs.
Reflection Functors In The Representation Theory Of Quivers,
2018
Syracuse University
Reflection Functors In The Representation Theory Of Quivers, Danika Van Niel
Renée Crown University Honors Thesis Projects - All
The paper "Coxeter Functors and Gabriel's Theorem" written by I.N. Bernstein, I.M. Gel'fand, and V.A. Ponomarev explores the concept of reflection functors. A thorough proof of several results used by Bernstein et al in their paper is presented. The focus is on the category of representations and reflection functors, both negative and positive. The quadratic form is the bridge between the results on quivers and the techniques of Lie algebras. The Dynkin diagrams mentioned in Gabriel's Theorem are discussed.
Global Stability For A 2n + 1 Dimensional Hiv/Aids Epidemic Model With Treatments,
2018
Marshall University
Global Stability For A 2n + 1 Dimensional Hiv/Aids Epidemic Model With Treatments, Olusegun Michael Otunuga
Mathematics Faculty Research
In this work, we derive and analyze a 2n + 1-dimensional deterministic differential equation modeling the transmission and treatment of HIV (Human Immunodeficiency Virus) disease. The model is extended to a stochastic differential equation by introducing noise in the transmission rate of the disease. A theoretical treatment strategy of regular HIV testing and immediate treatment with Antiretroviral Therapy (ART) is investigated in the presence and absence of noise. By defining R0, n, Rt, n and Rt,n as the deterministic basic reproduction number in the absence of ART treatments, deterministic basic reproduction number in the presence of …
Projective Geometry Associated To Some Quadratic, Regular Algebras Of Global Dimension Four,
2018
University of Texas at Arlington
Projective Geometry Associated To Some Quadratic, Regular Algebras Of Global Dimension Four, Derek C. Tomlin
Mathematics Dissertations - Archive
The attempted classification of regular algebras of global dimension four, so-called quantum P³s, has been a driving force for modern research in noncommutative algebra. Inspired by the work of Artin, Tate, and Van den Bergh, geometric methods via schemes of d-linear modules have been developed by various researchers to further their classification. In this thesis, we compute and analyze the line scheme of two families of algebras -- for both families, almost every algebra can be considered a candidate for a generic quadratic quantum P³. For the first family of algebras, we find that, viewed as a closed subscheme of …
Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mathematical Problems,
2018
Dordt College
Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mathematical Problems, Tom Clark, Mike Janssen, Amanda Harsy, Dave Klanderman, Mandi Maxwell, Sharon Robbert
Faculty Work Comprehensive List
Many K-12 math teachers are not ready to teach from a conceptual and inquiry-oriented perspective because they have an algorithmic understanding of mathematics. One solution is to create a math teacher circle (MTC), which provides conceptual and inquiry-based learning activities and builds professionalism among the teachers. In this paper, we describe the origins of two such MTCs, highlighting the process of identifying leadership team members, submitting the grant proposal for seed money, and hosting launch events, intensive summer workshops, and monthly meetings during the academic year. We also share opportunities for professional development for college and university faculty, including research …
