Nonlinear Photonics In Twisted And Nonlocal Structures,
2020
Southern Methodist University
Nonlinear Photonics In Twisted And Nonlocal Structures, Austin Copeland
Mathematics Theses and Dissertations
We provide a theoretical framework for the observed confinement of light modes within a twisted coreless photonic crystal fiber. Asymptotic methods are applied through ray theory and field theory in both the linear and nonlinear regime. We find the modes have a radially symmetric chirp and the envelope will decay away from the axis of propagation. Secondly, we study the stability and singularity formation of unidirectional beams as described by the Schrodinger equation. We propose a novel extension to the modeling equation to include a fractional Laplacian in one spatial dimension and a standard second derivative in a second dimension. …
A Note On The Fine Structure Constant,
2020
University of Nebraska-Lincoln
A Note On The Fine Structure Constant, Bilal Khan, Irshadullah Khan
School of Computing: Technical Reports
We derive the numerical value of the fine structure constant in purely number-theoretic terms, under the assumption that in a system of charges between two parallel conducting plates, the Casimir energy and the mutual Coulomb interaction energy agree.
A Note On The Fine Structure Constant,
2020
University of Nebraska-Lincoln
A Note On The Fine Structure Constant, Bilal Khan, Irshadullah Khan
Department of Sociology: Faculty Publications
We derive the numerical value of the fine structure constant $\alpha$ in purely number-theoretic terms, under the assumption that in a system of charges between two parallel conducting plates, the Casimir energy and the mutual Coulomb interaction energy agree.
A Note On The Fine Structure Constant,
2020
University of Nebraska-Lincoln
A Note On The Fine Structure Constant, Bilal Khan, Irshadullah Khan
Department of Sociology: Faculty Publications
We derive the numerical value of the fine structure constant in purely number-theoretic terms, under the assumption that in a system of charges between two parallel conducting plates, the Casimir energy and the mutual Coulomb interaction energy agree.
Universal Vector Neural Machine Translation With Effective Attention,
2020
SMU
Universal Vector Neural Machine Translation With Effective Attention, Joshua Yi, Satish Mylapore, Ryan Paul, Robert Slater
SMU Data Science Review
Neural Machine Translation (NMT) leverages one or more trained neural networks for the translation of phrases. Sutskever intro- duced a sequence to sequence based encoder decoder model which be- came the standard for NMT based systems. Attention mechanisms were later introduced to address the issues with the translation of long sen- tences and improving overall accuracy. In this paper, we propose two improvements to the encoder decoder based NMT approach. Most trans- lation models are trained as one model for one translation. We introduce a neutral/universal model representation that can be used to predict more than one language depending on …
Examining The Effect Of Personal Classroom Friendships With Online Learning,
2020
Bryant University
Examining The Effect Of Personal Classroom Friendships With Online Learning, Alicia T. Lamere, Kristin T. Kennedy
Mathematics Faculty Journal Articles
Friendships within learning environments have been established as valuable aspects of supporting student success. The literature clearly shows that: 1) a student can achieve a better grade depending on how he/she perceives the task in terms of level of difficulty, and 2) a student can perceive the level of difficulty to be more or less difficult, depending on who is in the room with him/her during the task. If task difficulty can be linked to perceived friendships in the room, then fostering friendships in a classroom could play a crucial role to improving performance. As universities continue to embrace online …
Teaching And Learning Of Fluid Mechanics,
2020
Montclair State University
Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya
Department of Mathematics Faculty Scholarship and Creative Works
Fluid mechanics occupies a privileged position in the sciences; it is taught in various science departments including physics, mathematics, environmental sciences and mechanical, chemical and civil engineering, with each highlighting a different aspect or interpretation of the foundation and applications of fluids. Doll’s fluid analogy [5] for this idea is especially relevant to this issue: “Emergence of creativity from complex flow of knowledge—example of Benard convection pattern as an analogy—dissipation or dispersal of knowledge (complex knowledge) results in emergent structures, i.e., creativity which in the context of education should be thought of as a unique way to arrange information so …
Stochastic Wiener Filter In The White Noise Space,
2020
Chapman University
Stochastic Wiener Filter In The White Noise Space, Daniel Alpay, Ariel Pinhas
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we introduce a new approach to the study of filtering theory by allowing the system's parameters to have a random character. We use Hida's white noise space theory to give an alternative characterization and a proper generalization to the Wiener filter over a suitable space of stochastic distributions introduced by Kondratiev. The main idea throughout this paper is to use the nuclearity of this space in order to view the random variables as bounded multiplication operators (with respect to the Wick product) between Hilbert spaces of stochastic distributions. This allows us to use operator theory tools and …
Written Reflections And Discussion Forums-- Math For Elementary School Teachers (Q2s-Ep: Math 301aqbr And Math 301bqbr ),
2020
California State University, San Bernardino
Written Reflections And Discussion Forums-- Math For Elementary School Teachers (Q2s-Ep: Math 301aqbr And Math 301bqbr ), Stephanie Creswell
Q2S Enhancing Pedagogy
Preparing for the transition from quarters to semesters, instructors of the mathematics sequence for future elementary teachers (Math 301ABC, Math 308 and their semester equivalents 3011, 3012 and 3013) applied research about best practices for online learning in mathematics to the quarter bridge courses Math 301AQBR and 301BQBR that each include 0.5 units of online activities. Successful activities piloted in the quarter bridge courses may be implemented in the 3011-3012-3013 semester sequence and their associated lab courses 3011L-3012L-3013L. This paper focuses on written reflections and group discussion forums associated with the class textbook Powerful Problem Solving by Max Ray.
H-Discrete Fractional Model Of Tumor Growth And Anticancer Effects Of Mono And Combination Therapies,
2020
Western Kentucky University
H-Discrete Fractional Model Of Tumor Growth And Anticancer Effects Of Mono And Combination Therapies, Kamala Dadashova
Masters Theses & Specialist Projects
In this thesis, we focus on h–discrete and h–discrete fractional representation of a pharmacokinetics-pharmacodynamics (PK-PD) model which describes tumor growth considering time on hNa, where h>0. First, we introduce some definitions, lemmas and theorems on both h–discrete and h–discrete fractional calculus in the preliminary section. In Chapter 3, we work on the PD model with delay by exam ining nabla h–discrete equations and nabla h–discrete fractional equations as well as variation of constants formulas, accordingly. We introduce our model and solve it using theorems we proved in the last section of the indicated chapter. When we do simulation for …
Memory-Modulated Cir Process With Discrete Delay Coefficients,
2020
University of Indianapolis, Indianapolis, IN 46227, USA
Memory-Modulated Cir Process With Discrete Delay Coefficients, Pathiranage Lochana Siriwardena, Harry Randolph Hughes, D. G. Wilathgamuwa
Journal of Stochastic Analysis
No abstract provided.
A Permutation Test And Spatial Cross-Validation Approach To Assess Models Of Interspecific Competition Between Trees,
2020
Middlebury College
A Permutation Test And Spatial Cross-Validation Approach To Assess Models Of Interspecific Competition Between Trees, David Allen, Albert Y. Kim
Statistical and Data Sciences: Faculty Publications
Measuring species-specific competitive interactions is key to understanding plant communities. Repeat censused large forest dynamics plots offer an ideal setting to measure these interactions by estimating the species-specific competitive effect on neighboring tree growth. Estimating these interaction values can be difficult, however, because the number of them grows with the square of the number of species. Furthermore, confidence in the estimates can be overestimated if any spatial structure of model errors is not considered. Here we measured these interactions in a forest dynamics plot in a transitional oak-hickory forest. We analytically fit Bayesian linear regression models of annual tree radial …
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.
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.
Large And Moderate Deviation Principles For Recursive Kernel Estimators For Spatial Data,
2020
Alliance Sorbonne Universités, Université de Technologie de Compiègne, L.M.A.C., Compiègne, France
Large And Moderate Deviation Principles For Recursive Kernel Estimators For Spatial Data, Salim Bouzebda, Yousri Slaoui
Journal of Stochastic Analysis
No abstract provided.
Closed Quantum Black-Scholes: Quantum Drift And The Heisenberg Equation Of Motion,
2020
Investec Bank PLC, 30 Gresham Street, London EC2V 7QP, United Kingdom
Closed Quantum Black-Scholes: Quantum Drift And The Heisenberg Equation Of Motion, Will Hicks
Journal of Stochastic Analysis
No abstract provided.
Exit Problems For Jump-Diffusion Processes With Uniform Jumps,
2020
Polytechnique Montréal, Montréal, Québec H3C 3A7, Canada
Exit Problems For Jump-Diffusion Processes With Uniform Jumps, Mario Lefebvre
Journal of Stochastic Analysis
No abstract provided.
Ogawa Integrability And A Condition For Convergence In The Multidimensional Case,
2020
University of Trento, via Sommarive 14, 38123, Italy
Ogawa Integrability And A Condition For Convergence In The Multidimensional Case, Nicolò Cangiotti, Sonia Mazzucchi
Journal of Stochastic Analysis
No abstract provided.
Mixing Coefficient For Discrete-Time Stochastic Flow,
2020
Institute of Mathematics NAS of Ukraine, Kyiv, Ukraine
Mixing Coefficient For Discrete-Time Stochastic Flow, E.V. Glinyanaya
Journal of Stochastic Analysis
No abstract provided.
