Upper Bounds For The Isolation Number Of A Matrix Over Semirings, 2019 Utah State University

#### Upper Bounds For The Isolation Number Of A Matrix Over Semirings, Leroy B. Beasley, Seok-Zun Song

*Mathematics and Statistics Faculty Publications*

Let S be an antinegative semiring. The rank of an *m*×*n* matrix B over S is the minimal integer r such that B is a product of an *m*×*r* matrix and an *r*×*n* matrix. The isolation number of B is the maximal number of nonzero entries in the matrix such that no two entries are in the same column, in the same row, and in a submatrix of B of the form [*b _{i,j }b_{k,j }*

* b _{i,l }b_{k,l}*] with nonzero entries. We know that the isolation number of B is not ...

A Note On Linear Preservers Of Semipositive And Minimally Semipositive Matrices, 2019 Indian Institute of Science, Bengaluru

#### A Note On Linear Preservers Of Semipositive And Minimally Semipositive Matrices, Projesh Nath Choudhury, Rajesh 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 short note, the structure of linear maps which preserve the set of all semipositive/minimally semipositive matrices is studied. An open problem is solved, and some ambiguities in the article [J. Dorsey, T. Gannon, N. Jacobson, C.R. Johnson and M. Turnansky. Linear preservers of semi-positive matrices. {\em Linear and Multilinear Algebra}, 64:1853--1862, 2016.] are clarified.

Vector Cross Product Differential And Difference Equations In R^3 And In R^7, 2019 University of Beira Interior

#### Vector Cross Product Differential And Difference Equations In R^3 And In R^7, Patrícia D. Beites, Alejandro P. Nicolás, Paulo Saraiva, José Vitória

*Electronic Journal of Linear Algebra*

Through a matrix approach of the $2$-fold vector cross product in $\mathbb{R}^3$ and in $\mathbb{R}^7$, some vector cross product differential and difference equations are studied. Either the classical theory or convenient Drazin inverses, of elements belonging to the class of index $1$ matrices, are applied.

Gravitational Radiation From A Toroidal Source, 2019 University of Puget Sound

#### Gravitational Radiation From A Toroidal Source, Aidan Schumann

*Summer Research*

This research uses a linearized form of Einstein's General Relativity to find the quadrupole moment from an oscillating toroidal mass and charge current. With the quadrupole terms, we found the gravitational radiation from the energy distribution. We make the assumptions that we are in the low-energy and far field limits.

Developing Mathematics Teachers’ Attention To Quantitative Reasoning In Task Design: A Modeling Approach, 2019 Kennesaw State University

#### Developing Mathematics Teachers’ Attention To Quantitative Reasoning In Task Design: A Modeling Approach, David Glassmeyer

*Numeracy*

This study examines how a models-and-modeling perspective affected teachers' attention to quantitative reasoning in task design. A Model-Eliciting Activity (MEA) was implemented with 21 teachers over four weeks, challenging teachers to design a quantitative reasoning task for their students. Teachers’ initial quantitative reasoning tasks did not incorporate quantities or quantitative relationships, two essential components of quantitative reasoning. As teachers revised their tasks through the MEA, most teachers began attending to these components. This article details how a modeling approach to teacher education provided a method to describe and support teachers to incorporate quantitative reasoning in their classroom tasks, though attending ...

The Sons Report (1989-1994, Mathematical Association Of America): The Way It Was, 2019 Northern Illinois University

#### The Sons Report (1989-1994, Mathematical Association Of America): The Way It Was, Linda R. Sons

*Numeracy*

Recollections and commentary by Linda R. Sons on a 1994 national report entitled *Quantitative Reasoning for College Graduates: A Complement to the Standards*. Professor Sons chaired the committee which wrote the report and championed its use.

This paper traces the development of the 1994 MAA report *Quantitative Reasoning for College Graduates: A Complement to the Standards*--a report which is still surprisingly relevant. The paper highlights some major parts of the report, describing the context in which its conclusions were made. Additionally, it challenges and encourages those continuing the quest for QL in the nation by noting progress made since ...

The Second Decade Of Numeracy: Entering The Seas Of Literacy, 2019 University of South Florida

#### The Second Decade Of Numeracy: Entering The Seas Of Literacy, H. L. Vacher

*Numeracy*

This multipurpose editorial explores and tries to count the many types of literacy that are referred to by name in Wikipedia and *Numeracy*. Wikipedia’s Category:Literacy page identifies 44 kinds of literacy that are the subject of articles, ranging from numeracy and graphicacy to braille literacy and diaspora literacy. In addition, searching Google finds more than 30 adjective-literacy or noun-literacy collocations, including quantitative literacy, adult literacy, and document literacy, that do not have Wikipedia pages of their own but are mentioned on other Wikipedia pages. The sum puts this modest literacy count in line with the more than 70 ...

An Uncommon Textbook: Review Of Common Sense Mathematics By Ethan Bolker And Maura Mast, 2019 University of Arkansas

#### An Uncommon Textbook: Review Of Common Sense Mathematics By Ethan Bolker And Maura Mast, Bernard Madison

*Numeracy*

Ethan D. Bolker and Maura B. Mast. 2016. *Common Sense Mathematics*.(Washington DC.: Mathematics Association of America) ISBN-13: 978-1-93951-210-9.

*Common Sense Mathematics* is an integrative quantitative reasoning (QR) textbook that is built around scores of exercises derived from authentic circumstances from public media and other public sources. The exercises elicit responses from students requiring extensive communication and analyses and distinguish the book from ones typically encountered in a mathematics or science course. Responses to exercises often require one-half page or more of writing and can occupy considerable class time in discussion. The book has material for a one- or two-semester ...

Composition Of Gaussian Noises From Successive Convex Integrations, 2019 Indian Statistical Institute

#### Composition Of Gaussian Noises From Successive Convex Integrations, Amites Dasgupta

*Communications on Stochastic Analysis*

No abstract provided.

Random Matrices, Continuous Circular Systems And The Triangular Operator, 2019 Wrocław University of Science and Technology, Wrocław, Poland

#### Random Matrices, Continuous Circular Systems And The Triangular Operator, Romuald Lenczewski

*Communications on Stochastic Analysis*

No abstract provided.

Generalized Stochastic Burgers' Equation With Non-Lipschitz Diffusion Coefficient, 2019 Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

#### Generalized Stochastic Burgers' Equation With Non-Lipschitz Diffusion Coefficient, Vivek Kumar, Ankik Kumar Giri

*Communications on Stochastic Analysis*

No abstract provided.

Global Strong Solutions Of The Stochastic Three Dimensional Inviscid Simplified Bardina Turbulence Model, 2019 Indian Statistical Institute

#### Global Strong Solutions Of The Stochastic Three Dimensional Inviscid Simplified Bardina Turbulence Model, Manil T. Mohan

*Communications on Stochastic Analysis*

No abstract provided.

Limiting Means For Spherical Slices, 2019 University of Connecticut, Storrs, CT USA

#### Limiting Means For Spherical Slices, Amy Peterson, Ambar Sengupta

*Communications on Stochastic Analysis*

No abstract provided.

Normally Ordered Disentanglement Of Multi-Dimensional Schrödinger Algebra Exponentials, 2019 Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy

#### Normally Ordered Disentanglement Of Multi-Dimensional Schrödinger Algebra Exponentials, Luigi Accardi, Andreas Boukas

*Communications on Stochastic Analysis*

No abstract provided.

Exponential Inequalities For Exit Times For Stochastic Navier-Stokes Equations And A Class Of Evolutions, 2019 Louisiana State University, Baton Rouge, LA USA

#### Exponential Inequalities For Exit Times For Stochastic Navier-Stokes Equations And A Class Of Evolutions, Po-Han Hsu, Padamanbhan Sundar

*Communications on Stochastic Analysis*

No abstract provided.

Using The Sir Epidemiology Model With Vector Transmission To Predict The Effectiveness Of A Viral Marketing Campaign And The Spread Of Product Adoption, 2019 University of South Florida

#### Using The Sir Epidemiology Model With Vector Transmission To Predict The Effectiveness Of A Viral Marketing Campaign And The Spread Of Product Adoption, Michael Freed

*Undergraduate Journal of Mathematical Modeling: One + Two*

Stevelab, LLC is working on an app that will be released within the year. For planning purposes, the company needs to be able to predict how well the app will spread in its initial phase. Because the pilot launch will be limited to Hillsborough County, FL, there is a limited population. The marketing strategy is to sell the application to places where people gather to mingle and socialize, with a particular focus to the bar scene. Customers of the bar can use the app for free. In addition to our direct sales efforts, we can expect the bar owners to ...

Equilibrium Ratio Of Polymers To Monomers In Cooperative Polymerization Of Amyloid-Β Protein, 2019 University of South Florida

#### Equilibrium Ratio Of Polymers To Monomers In Cooperative Polymerization Of Amyloid-Β Protein, Tina Gagliardo

*Undergraduate Journal of Mathematical Modeling: One + Two*

Amyloid-β42 is a protein polymer that catalyzes the formation of pathogenic amyloid plaques that are a prominent feature in the brain tissue of patients who suffer from Alzheimer’s disease. Aβ42 polymerizes via a nucleation-elongation mechanism; several monomers must first congregate into a nucleus before it can elongate into a polymer. The nucleation step is energetically unfavorable since a nucleus smaller than 7 to 8 monomeric units is unstable, therefore the pieces tend to dissociate faster than they can bond together. A solution of Aβ42 will consist of 100% monomers and oligomers smaller than the nucleus when the total concentration ...

Calculating Water Wavelength Using Dispersion Relation And Approximation, 2019 University of South Florida

#### Calculating Water Wavelength Using Dispersion Relation And Approximation, Chantelle Lee

*Undergraduate Journal of Mathematical Modeling: One + Two*

The dispersion relation equation is used to directly compute wave number and wave length to compliment water wave pressure sensor readings. Waves are measured to help coastal engineering to better mitigate coastal infrastructures. Various given wave periods and water depths are used to show how the dispersion relation equation could compute wave length. Also, shallow and deep-water approximations are formulated from the dispersion relation equation and the results are compared.

Effects Of Change In Tire Pressure Upon Efficiency Of A Vehicle, 2019 University of South Florida

#### Effects Of Change In Tire Pressure Upon Efficiency Of A Vehicle, Haider Ali Khan

*Undergraduate Journal of Mathematical Modeling: One + Two*

The objective of this paper is to compare the difference in the efficiency of acceleration, of a 2018 Audi A8, in two distinct scenarios where the tire pressure is kept at a maximum and partial level. The approach towards solving the issue is multi-faceted, the efficiency is dependent on the difference in the time it takes for the car to accelerate, thus to obtain the elapsed time, the foundational basis is set by the relations between Torque/Force, and RPM/Speed of the vehicle. All the calculations are completed by using the data extracted from the car’s specifications set ...

Population And Mortality Predictions Of The Florida Manatee – Ten Year Watercraft Mortality, 2019 University of South Florida

#### Population And Mortality Predictions Of The Florida Manatee – Ten Year Watercraft Mortality, Dylan Lehigh

*Undergraduate Journal of Mathematical Modeling: One + Two*

The West Indian Manatee is currently listed as a threatened species by the U.S Fish and Wildlife service. A threatened designation means population levels still are at risk of becoming endangered again in the foreseeable future. This project seeks to forecast how many manatees would perish from watercraft strikes (the greatest threat to their survival) based upon the most current method utilized for projecting manatee population growth.

The latest version, known as the Core Biological Model (version 6) or CBMv6, was employed along with the most current manatee population data, which was provided by Dr. Jeffrey A. Hostetler. Dr ...