Algebraic, Analytic, And Combinatorial Properties Of Power Product Expansions In Two Independent Variables.,
2021
West Virginia University
Algebraic, Analytic, And Combinatorial Properties Of Power Product Expansions In Two Independent Variables., Mohamed Ammar Elewoday
Graduate Theses, Dissertations, and Problem Reports (ETD)
Let $F(x,y)=I+\hspace{-.3cm}\sum\limits_{\substack{p=1\\m+n=p}}^{\infty}\hspace{-.3cm}A_{m,n}x^my^n$ be a formal power series, where the coefficients $A_{m,n}$ are either all matrices or all scalars. We expand $F(x,y)$ into the formal products $\prod\limits_{\substack{p=1\\m+n=p}}^{\infty}\hspace{-.3cm}(I+G_{m,n}x^m y^n)$, $\prod\limits_{\substack{p=1\\m+n=p}}^{\infty}\hspace{-.3cm}(I-H_{m,n}x^m y^n)^{-1}$, namely the \textit{ power product expansion in two independent variables} and \textit{inverse power product expansion in two independent variables} respectively. By developing new machinery involving the majorizing infinite product, we provide estimates on the domain of absolute convergence of the infinite product via the Taylor series coefficients of $F(x,y)$. This machinery introduces a myriad of "mixed expansions", uncovers various algebraic connections between the $(A_{m,n})$ and the $(G_{m,n})$, and uncovers various algebraic …
On The Lagrangian Description And Uniqueness For The One-Dimensional Pressureless Euler System,
2021
WVU
On The Lagrangian Description And Uniqueness For The One-Dimensional Pressureless Euler System, Mark David Suder
Graduate Theses, Dissertations, and Problem Reports (ETD)
In this work we show that the one-dimensional pressureless Euler system admits a Lagragian characterization under fairly general initial conditions, extending recent results by Hynd [7]. Moreover, we show that if the initial velocity is right-continuous and bounded, then we have uniqueness of this Lagrangian solution (called Sticky Particles Flow, or SPF solution), which coincides with the Scalar Conservation Laws (or SCL) solution. An important tool we employed in order to prove existence is a result by Gangbo et al. [5], which establishes a canonical (i.e. the flow is given by the optimal maps pushing the Lebesgue measure restricted to …
Using Sentiment Analysis To Find The Public's Opinion On Iowa's Three State Schools,
2021
University of Northern Iowa
Using Sentiment Analysis To Find The Public's Opinion On Iowa's Three State Schools, Alexa Ryan Bullock
Honors Program Theses
The purpose of this project was to create my own sentiment analysis that would allow me to analyze reviews of the three Iowa state schools: University of Iowa, Iowa State, and University of Northern Iowa, and organize them in a way that showed the strong and weak points of each university. I accomplished this by researching how sentiment analysis works, applying that to the construction of my own sentiment analysis, and then using it on reviews about these three schools. The goal of this project was to give my audience a greater understanding of how sentiment analysis works by creating …
A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables,
2020
Louisiana State University, Baton Rouge, LA 70803, USA
A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables, Irfan Alam
Journal of Stochastic Analysis
No abstract provided.
L_P_ Approximation By Relu Neural Networks,
2020
University of Babylon
L_P_ Approximation By Relu Neural Networks, Eman Samir Bhaya, Zainab Abdulmunim Sharba
Karbala International Journal of Modern Science
We know that we can use the neural networks for the approximation of functions for many types of activation functions. Here, we treat only neural networks with simple and particular activation function called rectified linear units (ReLU). The main aim of this paper is to introduce a type of constructive universal approximation theorem and estimate the error of the universal approximation. We will obtain optimal approximation if we have a basis independent of the target function. We prove a type of Debao Chen's theorem for approximation.
The Boundedness Of General Alternative Singular Integrals With Respect To The Gaussian Measure,
2020
Universidad Nacional Experimental Francisco de Miranda, Punto Fijo, Venezuela
The Boundedness Of General Alternative Singular Integrals With Respect To The Gaussian Measure, Eduard Navas, Ebner Pineda, Wilfredo O. Urbina
Journal of Stochastic Analysis
No abstract provided.
Martingales And Cocycles In Quantum Probability,
2020
J.N. Centre for Advanced Scientific Research, Indian Institute of Science and Indian Statistical Institute, Bangalore, INDIA
Martingales And Cocycles In Quantum Probability, Kalyan B. Sinha
Journal of Stochastic Analysis
No abstract provided.
Rényi Entropy On C*-Algebras,
2020
United Arab Emirates University, 15551 Al-Ain, United Arab Emirates
Rényi Entropy On C*-Algebras, Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe
Journal of Stochastic Analysis
No abstract provided.
R(P,Q) Analogs Of Discrete Distributions: General Formalism And Applications,
2020
University of Abomey-Calavi, 072 B. P. 50 Cotonou, Benin Republic
R(P,Q) Analogs Of Discrete Distributions: General Formalism And Applications, Mahouton Norbert Hounkonnou, Fridolin Melong
Journal of Stochastic Analysis
No abstract provided.
The Yang-Mills Heat Equation On Three-Manifolds With Boundary,
2020
University of Cyprus, Nicosia, 1678, Cyprus
The Yang-Mills Heat Equation On Three-Manifolds With Boundary, Nelia Charalambous
Journal of Stochastic Analysis
No abstract provided.
Emergence Of Quantum Theories From Classical Probability: Historical Origins, Developments, And Open Problems,
2020
Università di Roma Tor Vergata, Via Columbia, 2, 00133 Roma, Italy
Emergence Of Quantum Theories From Classical Probability: Historical Origins, Developments, And Open Problems, Luigi Accardi, Yun-Gang Lu
Journal of Stochastic Analysis
No abstract provided.
An Asymptotic Formula For Integrals Of Products Of Jacobi Polynomials,
2020
University of Connecticut, Storrs, CT 06269-1009, USA
An Asymptotic Formula For Integrals Of Products Of Jacobi Polynomials, Maxim Derevyagin, Nicholas Juricic
Journal of Stochastic Analysis
No abstract provided.
Introduce Gâteaux And Frêchet Derivatives In Riesz Spaces,
2020
Mus Alparslan University
Introduce Gâteaux And Frêchet Derivatives In Riesz Spaces, Abdullah Aydın, Erdal Korkmaz
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the Gâteaux and Frêchet differentiations of functions on Riesz space are introduced without topological structure. Thus, we aim to study Gâteaux and Frêchet differentiability functions in vector lattice by developing topology-free techniques, and also, we give some relations with other kinds of operators.
On Higher-Order Duality In Nondifferentiable Minimax Fractional Programming,
2020
King Fahd University of Petroleum and Minerals
On Higher-Order Duality In Nondifferentiable Minimax Fractional Programming, S. Al-Homidan, Vivek Singh, I. Ahmad
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we consider a nondifferentiable minimax fractional programming problem with continuously differentiable functions and formulated two types of higher-order dual models for such optimization problem.Weak, strong and strict converse duality theorems are derived under higherorder generalized invexity.
An Efficient Algorithm For Numerical Inversion Of System Of Generalized Abel Integral Equations,
2020
University of Petroleum and Energy Studies Dehradun
An Efficient Algorithm For Numerical Inversion Of System Of Generalized Abel Integral Equations, Sandeep Dixit
Applications and Applied Mathematics: An International Journal (AAM)
In this article a direct method is introduced, which is based on orthonormal Bernstein polynomials, to present an efficient and stable algorithm for numerical inversion of the system of singular integral equations of Abel type. The appropriateness of earlier numerical inversion methods was restricted to the one portion of singular integral equations of Abel type. The proposed method is absolutely accurate, and numerical illustrations are given to show the convergence and utilization of the suggested method and comparisons are made with some other existing numerical solution.
On Double Fuzzy M-Open Mappings And Double Fuzzy M-Closed Mappings,
2020
Government Arts College (Autonomous), J. J. College of Arts and Science (Autonomous)
On Double Fuzzy M-Open Mappings And Double Fuzzy M-Closed Mappings, J. Sathiyaraj, A. Vadivel, O. U. Maheshwari
Applications and Applied Mathematics: An International Journal (AAM)
We introduce and investigate some new class of mappings called double fuzzy M-open map and double fuzzy M-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy open, double fuzzy θ semiopen, double fuzzy δ preopen, double fuzzy M open and double fuzzy e open and their respective closed mappings.
Sum Of Cubes Of The First N Integers,
2020
California State University, San Bernardino
Sum Of Cubes Of The First N Integers, Obiamaka L. Agu
Electronic Theses, Projects, and Dissertations
In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at the endpoints a and b. From my recollection, a former instructor informed us to do the value of memorizing these formulas. …
Covariant Quantum White Noise From Light-Like Quantum Fields,
2020
Army Research Laboratory Adelphi, MD, 21005-5069, USA
Covariant Quantum White Noise From Light-Like Quantum Fields, Radhakrishnan Balu
Journal of Stochastic Analysis
No abstract provided.
On The Global Operator And Fueter Mapping Theorem For Slice Polyanalytic Functions,
2020
Chapman University
On The Global Operator And Fueter Mapping Theorem For Slice Polyanalytic Functions, Daniel Alpay, Kamal Diki, Irene Sabadini
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as solutions of a power of some special global operator with nonconstant coefficients as it happens in the case of slice hyperholomorphic functions. We investigate also an extension version of the Fueter mapping theorem in this polyanalytic setting. In particular, we show that under axially symmetric conditions it is always possible to construct Fueter regular and poly-Fueter regular functions through slice polyanalytic ones using what we call the poly-Fueter mappings. We study also some integral representations of these results on the quaternionic unit ball.
Deformed Gaussian Operators On Weighted Q-Fock Spaces,
2020
Aichi University of Education, Kariya, Aichi, 448-8542, Japan
Deformed Gaussian Operators On Weighted Q-Fock Spaces, Nobuhiro Asai, Hiroaki Yoshida
Journal of Stochastic Analysis
No abstract provided.
