Nonassociative Right Hoops, 2018 Chapman University

#### Nonassociative Right Hoops, Peter Jipsen, Michael Kinyon

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

The class of nonassociative right hoops, or narhoops for short, is defined as a subclass of right-residuated magmas, and is shown to be a variety. These algebras generalize both right quasigroups and right hoops, and we characterize the subvarieties in which the operation x ^^ y = (x/y)y is associative and/or commutative. Narhoops with a left unit are proved to be integral if and only if ^ is commutative, and their congruences are determined by the equivalence class of the left unit. We also prove that the four identities defining narhoops are independent.

Supporting English Language Learners Inside The Mathematics Classroom: One Teacher’S Unique Perspective Working With Students During Their First Years In America, 2018 University of Nebraska - Lincoln

#### Supporting English Language Learners Inside The Mathematics Classroom: One Teacher’S Unique Perspective Working With Students During Their First Years In America, Amy Marie Fendrick

*Research and Evaluation in Literacy and Technology*

Reflecting upon my personal experiences teaching mathematics to English Language Learners (ELL) in a public high school in Lincoln, Nebraska, this essay largely focuses on the time I spent as the only Accelerated Math teacher in my school building. From 2012 – 2017, I taught three different subjects at this high school: Advanced Algebra, Algebra, and Accelerated Math. This essay highlights why I chose to become a math and ELL teacher, as well as the challenges, issues, struggles, and successes I experienced during my time teaching. I focus on the challenges I faced teaching students who did not share my native ...

Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, 2018 The Graduate Center, City University of New York

#### Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, Todd Stambaugh

*All Dissertations, Theses, and Capstone Projects*

**Chapter 1**: In 1950, John Nash proposed the Bargaining Problem, for which a solution is a function that assigns to each space of possible utility assignments a single point in the space, in some sense representing the ’fair’ deal for the agents involved. Nash provided a solution of his own, and several others have been presented since then, including a notable solution by Ehud Kalai and Meir Smorodinsky. In chapter 1, a complete account is given for the conditions under which the two solutions will coincide for two player bargaining scenarios.

**Chapter 2**: In the same year, Nash presented one ...

Italian Domination In Complementary Prisms, 2018 East Tennessee State University

#### Italian Domination In Complementary Prisms, Haley D. Russell

*Electronic Theses and Dissertations*

Let $G$ be any graph and let $\overline{G}$ be its complement. The complementary prism of $G$ is formed from the disjoint union of a graph $G$ and its complement $\overline{G}$ by adding the edges of a perfect matching between the corresponding vertices of $G$ and $\overline{G}$. An Italian dominating function on a graph $G$ is a function such that $f \, : \, V \to \{ 0,1,2 \}$ and for each vertex $v \in V$ for which $f(v)=0$, it holds that $\sum_{u \in N(v)} f(u) \geq 2$. The weight of an Italian dominating function is ...

Classifications Of Resistance Distances In Simple Graphs, 2018 Carroll College

#### Classifications Of Resistance Distances In Simple Graphs, Marcellus Randall

*Carroll College Student Undergraduate Research Festival*

Within graph theory, there are multiple distance metrics which can describe the concept of “distance” between nodes on a simple graph, which are of particular interest to researchers studying link prediction and network evolution. This talk will focus on the relationship between measures of distance in simple graphs and various features of these graphs. I will discuss classifying graphs in which any edge resistance is greater than any non-edge resistance, using Katz centrality scores and classical graph theoretical features.

Correlations Of Co2 Levels, 2018 Murray State University

#### Correlations Of Co2 Levels, Brittney Nelson

*Scholars Week*

This project looks at the correlation between CO2 levels and human influences as well as the correlation between CO2 levels and global temperatures.

Cayley Graphs Of Psl(2) Over Finite Commutative Rings, 2018 Western Kentucky University

#### Cayley Graphs Of Psl(2) Over Finite Commutative Rings, Kathleen Bell

*Masters Theses & Specialist Projects*

Hadwiger's conjecture is one of the deepest open questions in graph theory, and Cayley graphs are an applicable and useful subtopic of algebra.

Chapter 1 will introduce Hadwiger's conjecture and Cayley graphs, providing a summary of background information on those topics, and continuing by introducing our problem. Chapter 2 will provide necessary definitions. Chapter 3 will give a brief survey of background information and of the existing literature on Hadwiger's conjecture, Hamiltonicity, and the isoperimetric number; in this chapter we will explore what cases are already shown and what the most recent results are. Chapter 4 will ...

Text Classification Of Installation Support Contract Topic Models For Category Management, 2018 Air Force Institute of Technology

#### Text Classification Of Installation Support Contract Topic Models For Category Management, William C. Sevier

*Theses and Dissertations*

Air Force Installation Contracting Agency manages nearly 18 percent of total Air Force spend, equating to approximately 57 billion dollars. To improve strategic sourcing, the organization is beginning to categorize installation-support spend and assign accountable portfolio managers to respective spend categories. A critical task in this new strategic environment includes the appropriate categorization of Air Force contracts into newly created, manageable spend categories. It has been recognized that current composite categories have the opportunity to be further distinguished into sub-categories leveraging text analytics on the contract descriptions. Furthermore, upon establishing newly constructed categories, future contracts must be classified into these ...

New Contributions To Semipositive And Minimally Semipositive Matrices, 2018 Indian Institute of Technology - Madras

#### New Contributions To Semipositive And Minimally Semipositive Matrices, Projesh Nath Choudhury, Rajesh M. Kannan, K. C. Sivakumar

*Electronic Journal of Linear Algebra*

Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory. In this article, this notion is revisited and new results are presented. It is shown that the set of all $m \times n$ minimally semipositive matrices contains a basis for the linear space of all $m \times n$ matrices. Apart from considerations involving principal pivot transforms and the Schur complement, results on semipositivity and/or minimal semipositivity for the following classes of matrices are presented: intervals of rectangular ...

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 ...

Building A Better Risk Prevention Model, 2018 Houston County Schools

#### Building A Better Risk Prevention Model, Steven Hornyak

*National Youth-At-Risk Conference Savannah*

This presentation chronicles the work of Houston County Schools in developing a risk prevention model built on more than ten years of longitudinal student data. In its second year of implementation, Houston At-Risk Profiles (HARP), has proven effective in identifying those students most in need of support and linking them to interventions and supports that lead to improved outcomes and significantly reduces the risk of failure.

Introduction To Computational Topology Using Simplicial Persistent Homology, 2018 Union College - Schenectady, NY

#### Introduction To Computational Topology Using Simplicial Persistent Homology, Jason Turner, Brenda Johnson, Ellen Gasparovic

*Honors Theses*

The human mind has a natural talent for finding patterns and shapes in nature where there are none, such as constellations among the stars. Persistent homology serves as a mathematical tool for accomplishing the same task in a more formal setting, taking in a cloud of individual points and assembling them into a coherent continuous image. We present an introduction to computational topology as well as persistent homology, and use them to analyze configurations of BuckyBalls®, small magnetic balls commonly used as desk toys.

Design And Analysis Of Graph-Based Codes Using Algebraic Lifts And Decoding Networks, 2018 University of Nebraska - Lincoln

#### Design And Analysis Of Graph-Based Codes Using Algebraic Lifts And Decoding Networks, Allison Beemer

*Dissertations, Theses, and Student Research Papers in Mathematics*

Error-correcting codes seek to address the problem of transmitting information efficiently and reliably across noisy channels. Among the most competitive codes developed in the last 70 years are low-density parity-check (LDPC) codes, a class of codes whose structure may be represented by sparse bipartite graphs. In addition to having the potential to be capacity-approaching, LDPC codes offer the significant practical advantage of low-complexity graph-based decoding algorithms. Graphical substructures called trapping sets, absorbing sets, and stopping sets characterize failure of these algorithms at high signal-to-noise ratios. This dissertation focuses on code design for and analysis of iterative graph-based message-passing decoders. The ...

Aim’S Research Experiences For Undergraduate Faculty Program, 2018 Iowa State University

#### Aim’S Research Experiences For Undergraduate Faculty Program, Leslie Hogben, Ulrica Wilson

*Leslie Hogben*

The Research Experiences for Undergraduate Faculty (REUF) program of the American Institute of Mathematics prepares faculty to engage in research with undergraduate students, encourages long-term research collaborations among some of its faculty, and builds a network of faculty who supervise undergraduate research. Participants of each REUF workshop are faculty members from undergraduate colleges interested in mentoring students in research mathematics at their home institutions. During a workshop, senior mathematicians with experience supervising undergraduate research present open problems suitable for undergraduates. The REUF program also includes several follow-up activities.

Isu Reu: Diverse, Research-Intense, Team-Based, 2018 Iowa State University

#### Isu Reu: Diverse, Research-Intense, Team-Based, Leslie Hogben

*Leslie Hogben*

This article describes the Iowa State University (ISU) mathematics REU. The emphasis is on how certain choices made have shaped the ISU REU. The ISU REU draws a diverse group of students from a broad spectrum of colleges and universities nationwide. It is research-intense, with no course or workshop component, and results are disseminated through publications and presentations at conferences. Students in the REU work in teams with graduate students and faculty.

Theoretical Analysis Of Nonlinear Differential Equations, 2018 Stephen F Austin State University

#### Theoretical Analysis Of Nonlinear Differential Equations, Emily Jean Weymier

*Electronic Theses and Dissertations*

Nonlinear differential equations arise as mathematical models of various phenomena. Here, various methods of solving and approximating linear and nonlinear differential equations are examined. Since analytical solutions to nonlinear differential equations are rare and difficult to determine, approximation methods have been developed. Initial and boundary value problems will be discussed. Several linear and nonlinear techniques to approximate or solve the linear or nonlinear problems are demonstrated. Regular and singular perturbation theory and Magnus expansions are our particular focus. Each section offers several examples to show how each technique is implemented along with the use of visuals to demonstrate the accuracy ...

Gradual Homicide, 2018 SIGMAA ARTS

#### Gradual Homicide, Jack Ritter

*Journal of Humanistic Mathematics*

A mathematical poem about asymptotic treachery.

Some Applications Of Sophisticated Mathematics To Randomized Computing, 2018 Selected Works

#### Some Applications Of Sophisticated Mathematics To Randomized Computing, Ronald I. Greenberg

*Ronald Greenberg*

No abstract provided.

Review Of Painting By Numbers By Jason Makansi, 2018 Ithaca College

#### Review Of Painting By Numbers By Jason Makansi, Thomas J. Pfaff

*Numeracy*

Makansi, Jason. 2016. *Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the "Experts." * (Tucson, AZ: Layla Dog Press, 2016). 196 pp. ISBN 978-0-9984259-0-0.

In Painting* by Numbers* Jason Makansi adds another book to the quantitative literacy bookshelf, with a book focusing on models. The book offers twelve commandments to aid the reader in assess quantitative models. The second section of the book offers examples to apply the models. Increasing quantitative literacy is crucial and generally, the more books the better. Unfortunately, this book is too superficial, often misses key ideas, and can easily lead a person ...

Life, The Universe, And Numeracy: Review Of A Numerate Life By John Allen Paulos (2015), 2018 Pennsylvania State University, Mont Alto

#### Life, The Universe, And Numeracy: Review Of A Numerate Life By John Allen Paulos (2015), Kira H. Hamman

*Numeracy*

John Allen Paulos. 2015. *A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours* (Buffalo, NY: Prometheus Books) 200 pp. ISBN**:** 978-1633881181

John Allen Paulos, author of *Innumeracy* and many other books addressing quantitative literacy and numeracy in society, tackles autobiography in this quirky "anti-memoir."