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Classifications Of Resistance Distances In Simple Graphs, Marcellus Randall 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, Brittney Nelson 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, Kathleen Bell 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, William C. Sevier 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, Projesh Nath Choudhury, Rajesh M. Kannan, K. C. Sivakumar 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, Mustafa Emre Civelek 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, Steven Hornyak 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, Jason Turner, Brenda Johnson, Ellen Gasparovic 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, Allison Beemer 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 ...


Theoretical Analysis Of Nonlinear Differential Equations, Emily Jean Weymier 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, Jack Ritter 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, Ronald I. Greenberg 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, Thomas J. Pfaff 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), Kira H. Hamman 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."


Math Course For Liberal Arts Majors: A Pilot With Embedded Remediation, Eileen B. Perez, Hansun To, Mary Fowler, Linda Larrivee 2018 Worcester State University

Math Course For Liberal Arts Majors: A Pilot With Embedded Remediation, Eileen B. Perez, Hansun To, Mary Fowler, Linda Larrivee

Numeracy

This study was designed to determine if embedded remediation is significant in accelerating the pathway to completion of a college-level math course for students needing remediation. The project studied the impact on student success in a quantitative literacy course at a Massachusetts four-year state university with remedial material embedded. The course satisfies the university’s general education math requirement for students with liberal arts majors who are not required to complete college algebra or calculus-based courses. The paper begins with a presentation of the issues with remedial mathematics and its impact on students’ graduation and persistence. Next, the paper covers ...


Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross 2018 University of Richmond

Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross

Math and Computer Science Faculty Publications

In this paper we examine the multipliers from one model space to another.


Distributive Lattice Models Of The Type C One-Rowed Weyl Group Symmetric Functions, William Atkins 2018 Murray State University

Distributive Lattice Models Of The Type C One-Rowed Weyl Group Symmetric Functions, William Atkins

Murray State Theses and Dissertations

We present two families of diamond-colored distributive lattices – one known and one new – that we can show are models of the type C one-rowed Weyl symmetric functions. These lattices are constructed using certain sequences of positive integers that are visualized as filling the boxes of one-rowed partition diagrams. We show how natural orderings of these one-rowed tableaux produce our distributive lattices as sublattices of a more general object, and how a natural coloring of the edges of the associated order diagrams yields a certain diamond-coloring property. We show that each edge-colored lattice possesses a certain structure that is associated with ...


Distributive Lattice Models Of The Type B Elementary Weyl Group Symmetric Functions, Katheryn Beck 2018 Murray State University

Distributive Lattice Models Of The Type B Elementary Weyl Group Symmetric Functions, Katheryn Beck

Murray State Theses and Dissertations

One of the great themes of algebraic combinatorics is the exploration of connections between ordered structures and group actions/representations. This thesis furthers this theme by presenting diamond-colored distributive lattice models of certain poly nomials that are invariant under the action of the type Bn Weyl group. Initially we realize these lattices as diamond-colored lattices of order ideals from certain vertex colored posets. We explore various coordinatizations of these lattices via partition-like elements, tableaux, and binary-type representations called tally diagrams. We also examine algebraic properties of these lattices. In particular, we prove that our type Bn lattices are effective models ...


The Mathematics Of Cancer: Fitting The Gompertz Equation To Tumor Growth, Dyjuan Tatro 2018 Bard College

The Mathematics Of Cancer: Fitting The Gompertz Equation To Tumor Growth, Dyjuan Tatro

Senior Projects Spring 2018

Mathematical models are finding increased use in biology, and partuculary in the field of cancer research. In relation to cancer, systems of differential equations have been proven to model tumor growth for many types of cancer while taking into account one or many features of tumor growth. One feature of tumor growth that models must take into account is that tumors do not grow exponentially. One model that embodies this feature is the Gomperts Model of Cell Growth. By fitting this model to long-term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor ...


Foreword By Guest Editors Maa 2018 Volume 18 Issue 4, Frank Prendergast, A. César González-García, Gary Wells, Juan Antonio Belmonte 2018 Dublin Institute of Technology

Foreword By Guest Editors Maa 2018 Volume 18 Issue 4, Frank Prendergast, A. César González-García, Gary Wells, Juan Antonio Belmonte

Conference Papers

MAA SPECIAL ISSUE VOL 18 ISSUE 4:

Sixty-three (63) Selected (peer reviewed) Papers of the INSAP X – Oxford XI – SEAC 25th Joint Conference ‘ROAD TO THE STARS’, held in Santiago de Compostela, Spain, 18th–22nd September 2017

Mediterranean Archaeology and Archaeometry (MAA) is an Open Access Journal published since 2001 by The University of the Aegean, Department of Mediterranean Studies, Rhodes, Greece.

It covers the dual nature of archaeology and cultural heritage with science which includes, amongst others, natural science applied to archaeology (physics, chemistry, biology, geology, geophysics, astronomy), archaeology, ancient history, cultural sustainability, astronomy in culture, physical anthropology, digital ...


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