Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers,
2020
Drexel University
Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure
Numeracy
Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …
Some Exit Time Estimates For Super-Brownian Motion And Fleming-Viot Process,
2020
University of Pittsburgh, Pittsburgh, PA 15260, USA
Some Exit Time Estimates For Super-Brownian Motion And Fleming-Viot Process, Parisa Fatheddin
Journal of Stochastic Analysis
No abstract provided.
Triangles In Ks-Saturated Graphs With Minimum Degree T,
2020
California State University, Sacramento
Triangles In Ks-Saturated Graphs With Minimum Degree T, Craig Timmons, Benjamin Cole, Albert Curry, David Davini
Theory & Applications of Graphs
For n ≥ 15, we prove that the minimum number of triangles in an n-vertex K4-saturated graph with minimum degree 4 is exactly 2n-4, and that there is a unique extremal graph. This is a triangle version of a result of Alon, Erdos, Holzman, and Krivelevich from 1996. Additionally, we show that for any s > r ≥ 3 and t ≥ 2 (s-2)+1, there is a Ks-saturated n-vertex graph with minimum degree t that has \binom{ s-2}{r-1}2^{r-1} n + c_{s,r,t} copies of Kr. This shows that …
Groups Of Divisibility,
2020
University of South Dakota
Groups Of Divisibility, Seth J. Gerberding
Honors Thesis
In this thesis, we examine a part of abstract algebra known as Groups of Divisibility. We construct these special groups from basic concepts. We begin with partially-ordered sets, then build our way into groups, rings, and even structures akin to rings of polynomials. In particular, we explore how elementary algebra evolves when an ordering is included with the operations. Our results follow the work done by Anderson and Feil, however we include more explicit proofs and constructions. Our primary results include proving that a group of divisibility can be provided with an order to make it a partially-ordered group; that …
An Improved Uniqueness Result For A System Of Sde Related To The Stochastic Wave Equation,
2020
University of Rochester, Rochester, NY 14627, USA
An Improved Uniqueness Result For A System Of Sde Related To The Stochastic Wave Equation, Carl Mueller, Eyal Neuman, Michael Salins, Giang Truong
Journal of Stochastic Analysis
No abstract provided.
Boundary Theorem Of Morera In The Space Of Rectangular Matrices,
2020
Karakalpak State University
Boundary Theorem Of Morera In The Space Of Rectangular Matrices, B. T. Kurbanov
Karakalpak Scientific Journal
In the theory of functions of one complex variable, Morer's theorem is known, which is inverse in some sense to the classical Cauchy theorem. On the complex plane, results on functions with the one-dimensional property of holomorphic continuation are trivial, and Morer's boundary theorems are absent. We note that the ordinary (non-boundary) Morera theorems in domains of space are well known. The first result related to our topic was obtained by Agranovsky M.L. and Valsky R.E. [1], who studied functions with the one-dimensional property of holomorphic continuation in a ball. The proof was based on the properties of the automorphism …
Boundary Value Problem For The Fourth-Order Degenerate Equation Of Mixed Type,
2020
Karakalpak State University
Boundary Value Problem For The Fourth-Order Degenerate Equation Of Mixed Type, Zh. A. Otarova
Karakalpak Scientific Journal
In this paper, we study a boundary value problem for degenerate fourth-order mixed type partial differential equation in a rectangular domain. The unique regular solvability of the boundary value problem posed is investigated. The solution is constructed in the form of the sum of the biorthogonal series in an explicit form, and the rationale for the convergence of the series in the class of regular solutions is given. To prove the solution of this problem, the estimates of the coefficients of the series and the system of eigenfunctions are used, which are established by asymptotic formulas for the Bessel function …
String Oscillations With Impulse Effects,
2020
Karakalpak State University
String Oscillations With Impulse Effects, K. K. Yelgondiyev, O. O. Kurbanbaev, S. R. Matmuratova
Karakalpak Scientific Journal
The problem of existence of periodic solutions to the equation of oscillations of a pulse stuny impact soft moments. Necessary and sufficient conditions of existence of periodic solutions in such oscillatory systems.
Smoothness Of Riesz Potential Out Of The Set Of Small Lebesgue Measure,
2020
Karakalpak State University
Smoothness Of Riesz Potential Out Of The Set Of Small Lebesgue Measure, A. Daujanov
Karakalpak Scientific Journal
We deals with the differential properties of the potential to some Borel measure of order, where Riesz kernel. The smoothness of Riesz potential out of some set of small Lebesgue measure is proved. The method of proof is based on the representation theorem of subharmonic function with the help of potential associated with a Borel measure. The result complements the well-known theorem of Cartan.
Characterizing The Growth Of One Student's Mathematical Understanding In A Multi-Representational Learning Environment,
2020
Gazi University
Characterizing The Growth Of One Student's Mathematical Understanding In A Multi-Representational Learning Environment, Hilal Gulkilik, Patricia S. Moyer-Packenham, Hasan Huseyin Ugurlu, Nejla Yuruk
Teacher Education and Leadership Faculty Publications
The purpose of this study was to characterize the growth of one student’s mathematical understanding and use of different representations about a geometric transformation, dilation. We accomplished this purpose by using the Pirie-Kieren model jointly with the Semiotic Representation Theory as a lens. Elif, a 10th- grade student, was purposefully chosen as the case for this study because of the growth of mathematical understanding about dilation she exhibited over time. Elif participated in task-based interviews before, during and after participating in a variety of transformation lessons where she used multiple representations, including physical and virtual manipulatives. The results …
Describing Quasi-Graphic Matroids,
2020
Wright State University - Main Campus
Describing Quasi-Graphic Matroids, Nathan Bowler, Daryl Funk, Dan Slilaty
Mathematics and Statistics Faculty Publications
The class of quasi-graphic matroids recently introduced by Geelen, Gerards, and Whittle generalises each of the classes of frame matroids and liftedgraphic matroids introduced earlier by Zaslavsky. For each biased graph (G, B) Zaslavsky defined a unique lift matroid L(G, B) and a unique frame matroid F(G, B), each on ground set E(G). We show that in general there may be many quasi-graphic matroids on E(G) and describe them all: for each graph G and partition (B, L, F) of its cycles such that B satisfies the theta property and each cycle in L meets each cycle in F, there …
On A Class Of Elliptic Free Boundary Problems With Multiple Solutions,
2020
Florida Institute of Technology
On A Class Of Elliptic Free Boundary Problems With Multiple Solutions, Kanishka Perera
Mathematics and System Engineering Faculty Publications
We prove that a certain class of elliptic free boundary problems, which includes the Prandtl-Batchelor problem from fluid dynamics as a special case, has two distinct nontrivial solutions for large values of a parameter. The first solution is a global minimizer of the energy. The energy functional is nondifferentiable, so standard variational arguments cannot be used directly to obtain a second nontrivial solution. We obtain our second solution as the limit of mountain pass points of a sequence of C1-functionals approximating the energy. We use careful estimates of the corresponding energy levels to show that this limit is neither trivial …
On Quasilinear Parabolic Equations And Continuous Maximal Regularity,
2020
University of Richmond
On Quasilinear Parabolic Equations And Continuous Maximal Regularity, Jeremy Lecrone, Gieri Simonett
Department of Math & Statistics Faculty Publications
We consider a class of abstract quasilinear parabolic problems with lower–order terms exhibiting a prescribed singular structure. We prove well–posedness and Lipschitz continuity of associated semiflows. Moreover, we investigate global existence of solutions and we extend the generalized principle of linearized stability to settings with initial values in critical spaces. These general results are applied to the surface diffusion flow in various settings.
A Template For Success: Celebrating The Work Of Judith Grabiner,
2020
University of Richmond
A Template For Success: Celebrating The Work Of Judith Grabiner, Della Dumbaugh, Adrian Rice
Department of Math & Statistics Faculty Publications
Judith Grabiner is a mathematician who specializes in the history of mathematics. She is currently the Flora Sanborn Pitzer Professor Emerita of Mathematics at Pitzer College, one of the Claremont Colleges in Claremont, California. She has authored more than forty articles, as well as three books: The Origins of Cauchy’s Rigorous Calculus (1981), The Calculus as Algebra: J.-L. Lagrange, 1736–1813 (1990), and A Historian Looks Back: The Calculus as Algebra and Selected Writings (2010), which won the Beckenbach Prize from the Mathematical Association of America in 2014. She deliv- ered an invited address titled “The Centrality of Mathemat- ics in …
Congruences For Coefficients Of Modular Functions In Levels 3, 5, And 7 With Poles At 0,
2020
Brigham Young University
Congruences For Coefficients Of Modular Functions In Levels 3, 5, And 7 With Poles At 0, Ryan Austin Keck
Theses and Dissertations
We give congruences modulo powers of p in {3, 5, 7} for the Fourier coefficients of certain modular functions in level p with poles only at 0, answering a question posed by Andersen and Jenkins and continuing work done by the Jenkins, the author, and Moss. The congruences involve a modulus that depends on the base p expansion of the modular form's order of vanishing at infinity.
Towards Enhanced Chlorine Control: Mathematical Modeling For Free Chlorine Kinetics During Fresh-Cut Carrot, Cabbage And Lettuce Washing,
2020
Cleveland State University
Towards Enhanced Chlorine Control: Mathematical Modeling For Free Chlorine Kinetics During Fresh-Cut Carrot, Cabbage And Lettuce Washing, Parthasarathy Srinivasan, Mohammadreza Dehghan Abnavi, Anthony Sulak, Chandrasekhar R. Kothapalli, Daniel Munther
Mathematics and Statistics Faculty Publications
In this study, we developed a novel produce-specific mechanistic model to predict free chlorine (FC) dynamics during washing of disk-cut carrots, cut cabbage, and cut iceberg lettuce, in 3 L and 50–100 L tanks, and of shredded iceberg lettuce in 3200 L pilot-plant trials. Ranges for two key parameters: β (L mg−1 min−1) the apparent reaction rate constant of FC with produce constituents, and γ, the fraction of the increase of chemical oxygen demand (COD) contributing to the reaction, were determined at the 3 L scale. For disk carrots β∈[0.05,0.09] and γ∈[0.054,0.078], for cut cabbage β∈[0.05,0.10] and γ∈[0.09,0.12], and for …
Underwater Gesture Recognition Using Classical Computer Vision And Deep Learning Techniques,
2020
University of the Philippines Diliman
Underwater Gesture Recognition Using Classical Computer Vision And Deep Learning Techniques, Mygel Andrei M. Martija, Jakov Ivan S. Dumbrique, Prospero C. Naval Jr.
Mathematics Faculty Publications
Underwater Gesture Recognition is a challenging task since conditions which are normally not an issue in gesture recognition on land must be considered. Such issues include low visibility, low contrast, and unequal spectral propagation. In this work, we explore the underwater gesture recognition problem by taking on the recently released Cognitive Autonomous Diving Buddy Underwater Gestures dataset. The contributions of this paper are as follows: (1) Use traditional computer vision techniques along with classical machine learning to perform gesture recognition on the CADDY dataset; (2) Apply deep learning using a convolutional neural network to solve the same problem; (3) Perform …
Approximation And Computational Complexity Of Some Hammock Variations Of The Poset Cover Problem,
2020
Ateneo de Manila University
Approximation And Computational Complexity Of Some Hammock Variations Of The Poset Cover Problem, Ivy Ordanel, Proceso L. Fernandez Jr, Richelle Ann B. Juayong, Henry N. Adorna
Department of Information Systems & Computer Science Faculty Publications
The Hammock(⏟𝟐, 𝟐 , … , 𝟐 / 𝒌 )-Poset Cover Problem is a variation of the Poset Cover Problem with the same input – set {𝑳𝟏, 𝑳𝟐, … , 𝑳𝒎} of linear orders over the set {𝟏, 𝟐, … ,𝒏}, but the solution is restricted to a set of simple hammock(𝟐⏟, 𝟐 , … , 𝟐 / 𝒌 ) posets. The problem is NP-Hard when 𝒌 ≥ 𝟑 but is in 𝑷 when 𝒌 = 𝟏. The computational complexity of the problem when 𝒌 = 𝟐 is not yet known. In this paper, …
Symmetric Presentations And Related Topics,
2020
California State University, San Bernardino
Symmetric Presentations And Related Topics, Mayra Mcgrath
Electronic Theses, Projects, and Dissertations
In this thesis, we have investigated several permutation and monomialprogenitors for finite images. We have found original symmetric presen-tations for several important non-abelian simple groups, including lineargroups, unitary groups, alternating groups, and sporadic simple groups.We have found a number of finite images, including : L(2,41), PSL(2,11)×2, L(2,8), and L(2,19), as homomorphic images of the permutation progenitors. We have also found PGL(2,16) : 2 =Aut(PSL(2,16)) and PSL(2,16) as homomorphic images of monomial progenitors. We have performed manual double coset enumeration of finte images. In addition, we have given the isomorphism class of each image that we have discovered. Presentation for all …
Mathematical Reasoning Writing And Proof, Version 3,
2020
Grand Valley State University
Mathematical Reasoning Writing And Proof, Version 3, Ted Sundstrom
Open Textbooks
Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. Version 3 of this book is almost identical to Version 2.1. The main change is that the preview activities in Version 2.1 have been renamed to beginning activities in Version 3. This was done to emphasize that these activities are meant to be completed before starting the rest of the section and are not just a short preview of what is to come in the rest of …
