Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, 2019 University of Tennessee, Knoxville

#### Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, 2019 University of Portland

#### Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, 2019 Illinois State University

#### A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Exercises Integrating High School Mathematics With Robot Motion Planning, 2019 Loyola University Chicago

#### Exercises Integrating High School Mathematics With Robot Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal

*Computer Science: Faculty Publications and Other Works*

This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align ...

Non-Nested Monte Carlo Dual Bounds For Multi-Exercisable Options, 2019 Centre for Actuarial Studies, Department of Economics, The Uni- versity of Melbourne, VIC 3010, Australia

#### Non-Nested Monte Carlo Dual Bounds For Multi-Exercisable Options, Xiang Cheng, Zhou Jin

*Communications on Stochastic Analysis*

No abstract provided.

Preface, 2019 Louisiana State University, Baton Rouge, LA 70803 USA

#### Preface, Hui-Hsiung Kuo, George Yin

*Communications on Stochastic Analysis*

No abstract provided.

Hybrid Models And Switching Control With Constraints, 2019 Wayne State University

#### Hybrid Models And Switching Control With Constraints, Jose L. Menaldi, Maurice Robin

*Communications on Stochastic Analysis*

No abstract provided.

Euler-Maruyama Method For Regime Switching Stochastic Differential Equations With Hölder Coefficients, 2019 Department of Applied Mathematics, Faculty of Applied Science, HCMC University of Technology, Vietnam

#### Euler-Maruyama Method For Regime Switching Stochastic Differential Equations With Hölder Coefficients, Dung T. Nguyen, Son L. Nguyen

*Communications on Stochastic Analysis*

No abstract provided.

On Orthogonal Matrices With Zero Diagonal, 2019 Grenfell Campus, Memorial University of Newfoundland

#### On Orthogonal Matrices With Zero Diagonal, Robert F. Bailey, Robert Craigen

*Electronic Journal of Linear Algebra*

This paper considers real orthogonal $n\times n$ matrices whose diagonal entries are zero and off-diagonal entries nonzero, which are referred to as $\OMZD(n)$. It is shown that there exists an $\OMZD(n)$ if and only if $n\neq 1,\ 3$, and that a symmetric $\OMZD(n)$ exists if and only if $n$ is even and $n\neq 4$. Also, a construction of $\OMZD(n)$ obtained from doubly regular tournaments is given. Finally, the results are applied to determine the minimum number of distinct eigenvalues of matrices associated with some families of graphs, and the related notion of orthogonal ...

General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, 2019 University of New Orleans

#### General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, Ronald Joseph Giardina Jr

*University of New Orleans Theses and Dissertations*

We will create a class of generalized ellipses and explore their ability to define a distance on a space and generate continuous, periodic functions. Connections between these continuous, periodic functions and the generalizations of trigonometric functions known in the literature shall be established along with connections between these generalized ellipses and some spectrahedral projections onto the plane, more specifically the well-known multifocal ellipses. The superellipse, or Lam\'{e} curve, will be a special case of the generalized ellipse. Applications of these generalized ellipses shall be explored with regards to some one-dimensional systems of classical mechanics. We will adopt the Ramberg-Osgood ...

Discretization Of The Hellinger-Reissner Variational Form Of Linear Elasticity Equations, 2019 Portland State University

#### Discretization Of The Hellinger-Reissner Variational Form Of Linear Elasticity Equations, Kevin A. Sweet

*REU Final Reports*

This paper addresses the derivation of the Hellinger-Reissner Variational Form from the strong form of a system of linear elasticity equations that are used in relation to geological phenomena. The problem is discretized using finite element discretization. This allowed the creation of a program that was used to run tests on various domains. The resultant displacement vectors for tested domains are shown at the end of the paper.

Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, 2019 University of Maine

#### Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, Gwyneth E. Roberts

*Honors College*

This study aims to characterize the circulation patterns in short and narrow estuarine systems on various temporal scales to identify the controls of material transport. In order to achieve this goal, a combination of in situ collected data and analytical modeling was used. The model is based on the horizontal Reynolds Averaged Navier-Stokes equations in the shallow water limit with scaling parameters defined from the characteristics of the estuary. The in situ measurements were used to inform a case study, seeking to understand water level variations and tidal current velocity patterns in the Jordan River and to improve understanding of ...

A Study Of Big Field Multivariate Cryptography., 2019 University of Louisville

#### A Study Of Big Field Multivariate Cryptography., Ryann Cartor

*Electronic Theses and Dissertations*

As the world grapples with the possibility of widespread quantum computing, the cryptosystems of the day need to be up to date. Multivariate Public Key Cryptography is a leading option for security in a post quantum society. One goal of this work is to classify the security of multivariate schemes, especially *C**variants. We begin by introducing Multivariate Public Key Cryptography and will then discuss different multivariate schemes and the main types of attacks that have been proven effective against multivariate schemes. Once we have developed an appropriate background, we analyze security of different schemes against particular attacks. Specifically, we ...

Mathematics Versus Statistics, 2019 Valparaiso University

#### Mathematics Versus Statistics, Mindy B. Capaldi

*Journal of Humanistic Mathematics*

Mathematics and statistics are both important and useful subjects, but the former has maintained prominence in the American education system. On the other hand, statistics is more prevalent in daily life and is an increasingly marketable subject to know. This article gives a personal history of one mathematician’s bumpy road to learning and teaching statistics. Additionally, arguments for how and why to include statistics in the K-12 and college curricula are provided.

Are We At A Watershed Moment For The Quantitative Literacy Movement?: Review Of Shifting Context, Stable Core: Advancing Quantitative Literacy In Higher Education, By Luke Tunstall, Gizem Karaali, And Victor Piercey, Eds., 2019 Fordham University

#### Are We At A Watershed Moment For The Quantitative Literacy Movement?: Review Of Shifting Context, Stable Core: Advancing Quantitative Literacy In Higher Education, By Luke Tunstall, Gizem Karaali, And Victor Piercey, Eds., Maura Mast

*Numeracy*

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. *Shifting Concepts, Stable Core: Advancing Quantitative Literacy in Higher Education*. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

The thematic approach of the edited MAA Notes volume *Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education* is that the “construct” of quantitative literacy is now fairly stable, but the contexts in which quantitative literacy is taught (and practiced) continue to change. Several chapters give the reader much to consider regarding what constitutes the foundation of this stable core and, relatedly, how quantitative literacy ...

Taking Multiple Regression Analysis To Task: A Review Of Mindware: Tools For Smart Thinking, By Richard Nisbett (2015), 2019 Pearl Street Inc.

#### Taking Multiple Regression Analysis To Task: A Review Of Mindware: Tools For Smart Thinking, By Richard Nisbett (2015), Jason Makansi

*Numeracy*

Richard Nisbett. 2015. *Mindware: Tools for Smart Thinking.*(New York, NY: Farrar, Strauss, and Giroux). 336 pp. ISBN: 9780374536244

Nisbett, a psychologist, may not achieve his stated goal of teaching readers to “effortlessly” extend their common sense when it comes to quantitative analysis applied to everyday issues, but his critique of multiple regression analysis (MRA) in the middle chapters of *Mindware* is worth attention from, and contemplation by, the QL/QR and Numeracy community. While in at least one other source, Nisbett’s critique has been called a “crusade” against MRA, what he really advocates is that it not be ...

Quantitative Literacy And The Mathematical Association Of America In The 2000’S: Ql Subcommittee Of Cupm , Sigmaa Ql, And Maa Notes #70, 2019 Valparaiso University

#### Quantitative Literacy And The Mathematical Association Of America In The 2000’S: Ql Subcommittee Of Cupm , Sigmaa Ql, And Maa Notes #70, Rick Gillman

*Numeracy*

This Roots and Seeds article is a partial history of the quantitative literacy movement in the Mathematical Association of America in the first decade of the 21st century. It focuses on the inclusion of QL in the MAA Committee on the Undergraduate Program in Mathematics’ *CUPM Curriculum Guidelines* (2004), the creation of the special interest group for MAA members (SIGMAA QL, 2004), and the work of that body in subsequent years, in particular, the MAA Notes #70, *Current Practices in Quantitative Literacy* (2006). I discuss some issues that were problematic in the QL movement in the MAA in those years ...

The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, 2019 Lafayette College

#### The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, Robert G. Root

*Numeracy*

The Ultimatum Game is a two-person, multiple-strategy game widely used in the experimental social sciences to demonstrate the human propensity for costly punishment in response to inequitable treatment. The game serves to provide quantitative evidence for a diversity of fairness norms across cultures. The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy. Its use in a writing seminar connecting quantitative literacy and social justice is described.

Euler’S Calculation Of The Sum Of The Reciprocals Of Squares, 2019 Ursinus College

#### Euler’S Calculation Of The Sum Of The Reciprocals Of Squares, Kenneth M. Monks

*Calculus*

No abstract provided.

Two Games Displayed By Butler’S 2017 Celebration Of Mind, 2019 Butler University

#### Two Games Displayed By Butler’S 2017 Celebration Of Mind, Jeremiah Farrell

*Jeremiah Farrell*

Jeremiah's two games displayed by Butler's 2017 Celebration of Mind.