Generalized Growth And Faber Polynomial Approximation Of Entire Functions Of Several Complex Variables In Some Banach Spaces,
2020
Al-Baha University
Generalized Growth And Faber Polynomial Approximation Of Entire Functions Of Several Complex Variables In Some Banach Spaces, Devendra Kumar, Manisha Vijayran
Applications and Applied Mathematics: An International Journal (AAM)
In this paper the relationship between the generalized order of growth of entire functions of many complex variables m (m >= 2) over Jordan domains and the sequence of Faber polynomial approximations in some Banach spaces has been investigated. Our results improve the various results shown in the literature.
Numerical Simulation For Solving Fractional Riccati And Logistic Differential Equations As A Difference Equation,
2020
Imam Mohammad Ibn Saud Islamic University (IMSIU)
Numerical Simulation For Solving Fractional Riccati And Logistic Differential Equations As A Difference Equation, M. M. Khader, N. H. Sweilam, B. N. Kharrat
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we introduce a numerical treatment using the generalized Euler method (GEM) for the fractional (Caputo sense) Riccati and Logistic differential equations. In the proposed method, we invert the given model as a difference equation. We compare our numerical solutions with the exact solution and with those numerical solutions using the fourth-order Runge-Kutta method (RK4). The obtained numerical results of the two proposed problem models show the simplicity and efficiency of the proposed method.
A Comparative Study Of Shehu Variational Iteration Method And Shehu Decomposition Method For Solving Nonlinear Caputo Time-Fractional Wave-Like Equations With Variable Coefficients,
2020
Ferhat Abbas Sétif University 1
A Comparative Study Of Shehu Variational Iteration Method And Shehu Decomposition Method For Solving Nonlinear Caputo Time-Fractional Wave-Like Equations With Variable Coefficients, Ali Khalouta, Abdelouahab Kadem
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a comparative study between two different methods for solving nonlinear Caputo time-fractional wave-like equations with variable coefficients is conducted. These two methods are called the Shehu variational iteration method (SVIM) and the Shehu decomposition method (SDM). To illustrate the efficiency and accuracy of the proposed methods, three different numerical examples are presented. The results obtained show that the two methods are powerful and efficient methods which both give approximations of higher accuracy and closed form solutions if existing. However, the SVIM has an advantage over SDM that it solves the nonlinear problems without using the Adomian polynomials. …
Uniform Lipschitz Continuity Of The Isoperimetric Profile Of Compact Surfaces Under Normalized Ricci Flow,
2020
CUNY Graduate Center
Uniform Lipschitz Continuity Of The Isoperimetric Profile Of Compact Surfaces Under Normalized Ricci Flow, Yizhong Zheng
Dissertations, Theses, and Capstone Projects
We show that the isoperimetric profile h_{g(t)}(\xi) of a compact Riemannian manifold (M,g) is jointly continuous when metrics g(t) vary continuously. We also show that, when M is a compact surface and g(t) evolves under normalized Ricci flow, h^2_{g(t)}(\xi) is uniform Lipschitz continuous and hence h_{g(t)}(\xi) is uniform locally Lipschitz continuous.
Symmetric Rigidity For Circle Endomorphisms With Bounded Geometry And Their Dual Maps,
2020
CUNY Graduate Center
Symmetric Rigidity For Circle Endomorphisms With Bounded Geometry And Their Dual Maps, John Adamski
Dissertations, Theses, and Capstone Projects
Let $f$ be a circle endomorphism of degree $d\geq2$ that generates a sequence of Markov partitions that either has bounded nearby geometry and bounded geometry, or else just has bounded geometry, with respect to normalized Lebesgue measure. We define the dual symbolic space $\S^*$ and the dual circle endomorphism $f^*=\tilde{h}\circ f\circ{h}^{-1}$, which is topologically conjugate to $f$. We describe some properties of the topological conjugacy $\tilde{h}$. We also describe an algorithm for generating arbitrary circle endomorphisms $f$ with bounded geometry that preserve Lebesgue measure and their corresponding dual circle endomorphisms $f^*$ as well as the conjugacy $\tilde{h}$, and implement it …
Derivable Single Valued Neutrosophic Graphs Based On Km-Fuzzy Metric,
2020
University of New Mexico
Derivable Single Valued Neutrosophic Graphs Based On Km-Fuzzy Metric, Florentin Smarandache, Mohammad Hamidi
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper we consider the concept of KM-fuzzy metric spaces and we introduce a novel concept of KM-single valued neutrosophic metric graphs based on KM-fuzzy metric spaces. Then we investigate the finite KM-fuzzy metric spaces with respect to KM-fuzzy metrics and we construct the KMfuzzy metric spaces on any given non-empty sets. We try to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as union and product of KM-fuzzy metric spaces and in this regard we investigate the class of products of KM-single valued neutrosophic metric graphs. In the final, we …
On Fejér Type Inequalities For Convex Mappings Utilizing Generalized Fractional Integrals,
2020
University “Ismail Qermali”
On Fejér Type Inequalities For Convex Mappings Utilizing Generalized Fractional Integrals, A. Kashuri, R. Liko
Applications and Applied Mathematics: An International Journal (AAM)
In this work, we first establish Hermite-Hadamard-Fejér type inequalities for convex function involving generalized fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. Moreover, we obtain some trapezoid type inequalities for these kind of generalized fractional integrals. The results given in this paper provide generalization of several inequalities obtained in earlier studies.
Existence Of Resolvent For Conformable Fractional Volterra Integral Equations,
2020
Bahauddin Zakariya University
Existence Of Resolvent For Conformable Fractional Volterra Integral Equations, Awais Younus, Khizra Bukhsh, Cemil Tunç
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we consider the conformable fractional Volterra integral equation. We study the existence of a resolvent kernel corresponding to conformable fractional Volterra integral equation. The technique of proof involves Lebesgue dominated convergence theorem. Our results improve and extend the results obtained in literature.
Analysis Of Gameplay Strategies In Hearthstone: A Data Science Approach,
2020
New Jersey Institute of Technology
Analysis Of Gameplay Strategies In Hearthstone: A Data Science Approach, Connor W. Watson
Theses
In recent years, games have been a popular test bed for AI research, and the presence of Collectible Card Games (CCGs) in that space is still increasing. One such CCG for both competitive/casual play and AI research is Hearthstone, a two-player adversarial game where players seeks to implement one of several gameplay strategies to defeat their opponent and decrease all of their Health points to zero. Although some open source simulators exist, some of their methodologies for simulated agents create opponents with a relatively low skill level. Using evolutionary algorithms, this thesis seeks to evolve agents with a higher skill …
Nonlocal Helmholtz Decompositions And Connections To Classical Counterparts,
2020
University of Nebraska-Lincoln
Nonlocal Helmholtz Decompositions And Connections To Classical Counterparts, Andrew Haar, Petronela Radu
UCARE: Research Products
In recent years nonlocal models have been successfully introduced in a variety of applications, such as dynamic fracture, nonlocal diffusion, flocking, and image processing. Thus, the development of a nonlocal calculus theory, together with the study of nonlocal operators has become the focus of many theoretical investigations. Our work focuses on a Helmholtz decomposition in the nonlocal (integral) framework. In the classical (differential) setting the Helmholtz decomposition states that we can decompose a three dimensional vector field as a sum of an irrotational function and a solenoidal function. We will define new nonlocal gradient and curl operators that allow us …
Bridge To Bulldogs: A Student And Financial Analysis,
2020
Louisiana Tech University
Bridge To Bulldogs: A Student And Financial Analysis, Rebekah Moss
Mathematics Senior Capstone Papers
In this paper, we discuss the statistical analysis of the Bridge to Bulldogs program. The Bridge to Bulldogs program provides prospective students, who do not meet all of the admission requirements, an alternate route of admission to Louisiana Tech University. The program is offered over two consecutive quarters, either summer/fall or fall/winter. During the program, students focus on building their math skills through tutoring and special advising. We compare the Bridge students to other first-time freshman in relation to scores in Freshman level math classes. We also compare composite and Math ACT scores. Finally, we perform a financial analysis, including …
Combinatorial And Asymptotic Statistical Properties Of Partitions And Unimodal Sequences,
2020
Louisiana State University and Agricultural and Mechanical College
Combinatorial And Asymptotic Statistical Properties Of Partitions And Unimodal Sequences, Walter Mcfarland Bridges
LSU Doctoral Dissertations
Our main results are asymptotic zero-one laws satisfied by the diagrams of unimodal sequences of positive integers. These diagrams consist of columns of squares in the plane; the upper boundary is called the shape. For various types of unimodal sequences, we show that, as the number of squares tends to infinity, 100% of shapes are near a certain curve---that is, there is a single limit shape. Similar phenomena have been well-studied for integer partitions, but several technical difficulties arise in the extension of such asymptotic statistical laws to unimodal sequences. We develop a widely applicable method for obtaining these limit …
An Analysis And Comparison Of Knot Polynomials,
2020
James Madison University
An Analysis And Comparison Of Knot Polynomials, Hannah Steinhauer
Senior Honors Projects, 2020-current
Knot polynomials are polynomial equations that are assigned to knot projections based on the mathematical properties of the knots. They are also invariants, or properties of knots that do not change under ambient isotopy. In other words, given an invariant α for a knot K, α is the same for any projection of K. We will define these knot polynomials and explain the processes by which one finds them for a given knot projection. We will also compare the relative usefulness of these polynomials.
On Quantum Effects Of Vector Potentials And Generalizations Of Functional Analysis,
2020
Chapman University
On Quantum Effects Of Vector Potentials And Generalizations Of Functional Analysis, Ismael L. Paiva
Computational and Data Sciences (PhD) Dissertations
This is a dissertation in two parts. In the first one, the Aharonov-Bohm effect is investigated. It is shown that solenoids (or flux lines) can be seen as barriers for quantum charges. In particular, a charge can be trapped in a sector of a long cavity by two flux lines. Also, grids of flux lines can approximate the force associated with continuous two-dimensional distributions of magnetic fields. More, if it is assumed that the lines can be as close to each other as desirable, it is explained how the classical magnetic force can emerge from the Aharonov-Bohm effect. Continuing, the …
Novel Inference Methods For Generalized Linear Models Using Shrinkage Priors And Data Augmentation.,
2020
University of Louisville
Novel Inference Methods For Generalized Linear Models Using Shrinkage Priors And Data Augmentation., Arinjita Bhattacharyya
Electronic Theses and Dissertations
Generalized linear models have broad applications in biostatistics and sociology. In a regression setup, the main target is to find a relevant set of predictors out of a large collection of covariates. Sparsity is the assumption that only a few of these covariates in a regression setup have a meaningful correlation with an outcome variate of interest. Sparsity is incorporated by regularizing the irrelevant slopes towards zero without changing the relevant predictors and keeping the resulting inferences intact. Frequentist variable selection and sparsity are addressed by popular techniques like Lasso, Elastic Net. Bayesian penalized regression can tackle the curse of …
An Analysis Of The First Passage To The Origin (Fpo) Distribution,
2020
East Tennessee State University
An Analysis Of The First Passage To The Origin (Fpo) Distribution, Aradhana Soni
Electronic Theses and Dissertations
What is the probability that in a fair coin toss game (a simple random walk) we go bankrupt in n steps when there is an initial lead of some known or unknown quantity $m? What is the distribution of the number of steps N that it takes for the lead to vanish? This thesis explores some of the features of this first passage to the origin (FPO) distribution. First, we explore the distribution of N when m is known. Next, we compute the maximum likelihood estimators of m for a fixed n and also the posterior distribution of m when …
Comparison Of Non-Prosthetic And Prosthetic Strides In A Pendulum-Based Model,
2020
Wofford College
Comparison Of Non-Prosthetic And Prosthetic Strides In A Pendulum-Based Model, Catherine T. Cronister
Student Scholarship
In this paper, we explore the differences in a non-prosthetic and prosthetic single stride. We accomplish this by developing a model based on a forced, triple pendulum. We use this model to describe a single stride and alter where the internal force comes from to simulate a prosthetic and non-prosthetic stride. We numerically solve our model with Matlab. We find that our model qualitatively represents the energy gap between a prosthetic and non-prosthetic stride. Our model also agreed qualitatively with alterations of the prosthetic designed to decrease the energy gap between the two strides.
Investigations Into Bolzano's Bounded Set Theorem,
2020
Ursinus College
Investigations Into Bolzano's Bounded Set Theorem, Dave Ruch
Analysis
No abstract provided.
Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version),
2020
Ursinus College
Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version), Dave Ruch
Analysis
No abstract provided.
Preparing For The Future: The Effects Of Financial Literacy On Financial Planning For Young Professionals,
2020
University of South Carolina - Columbia
Preparing For The Future: The Effects Of Financial Literacy On Financial Planning For Young Professionals, Tanay Singh
Senior Theses
Purpose – Many people between the age of 20 and 34 have not considered planning financially for the future in any significant capacity and in doing so, they limit their potential savings. The purpose of this study is to examine what financial expectations are for people in the early stages of their career and determine if improving financial literacy and revealing financial realities helps to produce more accurate or realistic expectations. Ultimately, the goal is to better prepare participants in the study for the working world and increased responsibilities outside of the college/university environment by getting them to start thinking …
