University of Nebraska-Lincoln
Florida International University
The College at Brockport
Missouri State University
Boise State University
Actuarial Mathematics Concentration
East Tennessee State University
Claremont McKenna College
Does Teaching The History Of Mathematics In High School Aid In Student Understanding?,
2019
Otterbein University
Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell
Honors Thesis Projects
This research will study the effect teaching the history of mathematics in a high school classroom has on student understanding. To accomplish this, lessons both including and excluding historical background on different topics were taught in an Honors Algebra 2 class in the high school setting. This research aims to engage student learning and investigation of topics that normally do not draw a lot of student focus and spark a new or revived interest in mathematics for students by broadening lessons to include material of which students would not otherwise be exposed. The lessons themselves aim to engage other current ...
Quantitative Literacy In The Affective Domain: Computational Geology Students’ Reactions To Devlin’S The Math Instinct,
2019
University of South Florida
Quantitative Literacy In The Affective Domain: Computational Geology Students’ Reactions To Devlin’S The Math Instinct, Victor J. Ricchezza, H. L. Vacher
Victor Ricchezza
Building on suggestions from alumni from a recent interview project, students in Computational Geology at the University of South Florida were tasked with reading a popular non-fiction book on mathematics and writing about the book and their feelings about math. The book, The Math Instinct by Keith Devlin, was chosen because we believed it would give the students something interesting to write about and not because we had any expectations in particular about what it might reveal about or do for their math anxiety. The nature of the responses received from the students led to the performance of a post-hoc ...
Monoidal Supercategories And Superadjunction,
2019
University of Ottawa
Monoidal Supercategories And Superadjunction, Dene Lepine
Rose-Hulman Undergraduate Mathematics Journal
We define the notion of superadjunction in the context of supercategories. In particular, we give definitions in terms of counit-unit superadjunctions and hom-space superadjunctions, and prove that these two definitions are equivalent. These results generalize well-known statements in the non-super setting. In the super setting, they formalize some notions that have recently appeared in the literature. We conclude with a brief discussion of superadjunction in the language of string diagrams.
Heterogeneous Boolean Networks With Two Totalistic Rules,
2019
University of Nebraska at Omaha
Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh
Student Research and Creative Activity Fair
Boolean Networks are being used to analyze models in biology, economics, social sciences, and many other areas. These models simplify the reality by assuming that each element in the network can take on only two possible values, such as ON and OFF. The node evolution is governed by its interaction with other nodes in its neighborhood, which is described mathematically by a Boolean function or rule. For simplicity reasons, many models assume that all nodes follow the same Boolean rule. However, real networks often use more than one Boolean rule and therefore are heterogeneous networks. Heterogeneous networks have not yet ...
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains,
2019
University of Nebraska at Omaha
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller
Student Research and Creative Activity Fair
Description: The Fourier series expansion method is an invaluable approach to solving partial differential equations, including the heat and wave equations. For homogeneous heat and wave equations, the solution can readily be found through separation of variables and then expansion of the solution in terms of the eigenfunctions. Solutions to inhomogeneous heat and wave equations through Fourier series expansion methods were not readily available in the literature for two- and three-dimensional cases. In my previous paper, I developed an approach for solving inhomogeneous heat and wave equations on cubic domains using Fourier series expansion methods. I shall extend my general ...
Forensics Analysis For Bone Pair Matching Using Bipartite Graphs In Commingled Remains,
2019
University of Nebraska at Omaha
Forensics Analysis For Bone Pair Matching Using Bipartite Graphs In Commingled Remains, Ryan Ernst
Student Research and Creative Activity Fair
Identification of missing prisoners of war is a complex and time consuming task. There are many missing soldiers whose remains have yet to be returned to their families and loved ones. This nation has a solemn obligation to its soldiers and their families who have made the ultimate sacrifice for their country. There are currently over 82,000 unidentified prisoners of war which are identified at a rate of 100+ per year. At this rate it would take 300+ years to complete the identification process. Previously, anthropologists used excel spreadsheets to sort through skeletal data. This project aims to streamline ...
Brauer's Theorem And Nonnegative Matrices With Prescribed Diagonal Entries,
2019
Universidad Católica del Norte
Brauer's Theorem And Nonnegative Matrices With Prescribed Diagonal Entries, Ricardo L. Soto, Ana I. Julio, Macarena A. Collao
Electronic Journal of Linear Algebra
The problem of the existence and construction of nonnegative matrices with prescribed eigenvalues and diagonal entries is an important inverse problem, interesting by itself, but also necessary to apply a perturbation result, which has played an important role in the study of certain nonnegative inverse spectral problems. A number of partial results about the problem have been published by several authors, mainly by H. \v{S}migoc. In this paper, the relevance of a Brauer's result, and its implication for the nonnegative inverse eigenvalue problem with prescribed diagonal entries is emphasized. As a consequence, given a list of complex ...
Surjective Additive Rank-1 Preservers On Hessenberg Matrices,
2019
Walailak University
Surjective Additive Rank-1 Preservers On Hessenberg Matrices, Prathomjit Khachorncharoenkul, Sajee Pianskool
Electronic Journal of Linear Algebra
Let $H_{n}(\mathbb{F})$ be the space of all $n\times n$ upper Hessenberg matrices over a field~$\mathbb{F}$, where $n$ is a positive integer greater than two. In this paper, surjective additive maps preserving rank-$1$ on $H_{n}(\mathbb{F})$ are characterized.
Extending Set Functors To Generalised Metric Spaces,
2019
University Politehnica of Bucharest
Extending Set Functors To Generalised Metric Spaces, Adriana Balan, Alexander Kurz, Jiří Velebil
Mathematics, Physics, and Computer Science Faculty Articles and Research
For a commutative quantale V, the category V-cat can be perceived as a category of generalised metric spaces and non-expanding maps. We show that any type constructor T (formalised as an endofunctor on sets) can be extended in a canonical way to a type constructor TV on V-cat. The proof yields methods of explicitly calculating the extension in concrete examples, which cover well-known notions such as the Pompeiu-Hausdorff metric as well as new ones.
Conceptually, this allows us to to solve the same recursive domain equation X ≅ TX in different categories (such as sets and metric spaces) and we ...
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.
Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland,
2018
Wojciech Budzianowski Consulting Services
Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Exploring Flag Matroids And Duality,
2018
California State University, San Bernardino
Exploring Flag Matroids And Duality, Zachary Garcia
Electronic Theses, Projects, and Dissertations
Matroids capture an abstraction of independence in mathematics, and in doing so, connect discrete mathematical structures that arise in a variety of contexts. A matroid can be defined in several cryptomorphic ways depending on which perspective of a matroid is most applicable to the given context. Among the many important concepts in matroid theory, the concept of matroid duality provides a powerful tool when addressing difficult problems. The usefulness of matroid duality stems from the fact that the dual of a matroid is itself a matroid. In this thesis, we explore a matroid-like object called a flag matroid. In particular ...
Symmetric Presentations And Double Coset Enumeration,
2018
California State University, San Bernardino
Symmetric Presentations And Double Coset Enumeration, Charles Seager
Electronic Theses, Projects, and Dissertations
In this project, we demonstrate our discovery of original symmetric presentations and constructions of important groups, including nonabelian simple groups, and groups that have these as factor groups. The target nonabelian simple groups include alternating, linear, and sporadic groups. We give isomorphism types for each finite homomorphic image that has been found. We present original symmetric presentations of $M_{12}$, $M_{21}:(2 \times 2)$, $L_{3}(4):2^2$, $2:^{\cdot}L_{3}(4):2$, $S(4,3)$, and $S_{7}$ as homomorphism images of the progenitors $2^{*20}$ $:$ $A_{5}$, $2^{*10}$ $:$ $PGL(2,9)$, $2^{*10}$ $:$ $Aut ...
Commutators Involving Matrix Functions,
2018
P.h.D student
Commutators Involving Matrix Functions, Osman Kan, Süleyman Solak
Electronic Journal of Linear Algebra
Some results are obtained for matrix commutators involving matrix exponentials $\left(\left[e^{A},B\right],\left[e^{A},e^{B}\right]\right)$ and their norms.
