On Superoscillations And Supershifts In Several Variables, 2022 Chapman University
On Superoscillations And Supershifts In Several Variables, Yakir Aharonov, Fabrizio Colombo, Andrew N. Jordan, Irene Sabadini, Tomer Shushi, Daniele C. Struppa, Jeff Tollaksen
Mathematics, Physics, and Computer Science Faculty Articles and Research
The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, 2022 University of Mazandaran, Babolsar, Iran
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, O.K. Kazemi, A. Pourdarvish, J. Sadeghi
Journal of Stochastic Analysis
No abstract provided.
Artificial Neural Network Concepts And Examples, 2022 University of Missouri-St. Louis
Artificial Neural Network Concepts And Examples, Harcharan Kabbay
Theses
Artificial Neural Networks have gained much media attention in the last few years. Every day, numer- ous articles on Artificial Intelligence, Machine Learning, and Deep Learning exist. Both academics and business are becoming increasingly interested in deep learning. Deep learning has innumerable uses, in- cluding autonomous driving, computer vision, robotics, security and surveillance, and natural language processing. The recent development and focus have primarily been made possible by the convergence of related research efforts and the introduction of APIs like Keras. The availability of high-speed compute resources such as GPUs and TPUs has also been instrumental in developing deep learning …
Quantization Of The Poisson Type Central Limit Theorem (1), 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy
Quantization Of The Poisson Type Central Limit Theorem (1), Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, 2022 Heinrich Heine University, Düsseldorf, Germany
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, Peter Kern, Christian Müller
Journal of Stochastic Analysis
No abstract provided.
Ultrametrics And Complete Multipartite Graphs, 2022 Institute of Applied Mathematic and Mechanics of NAS of Ukraine
Ultrametrics And Complete Multipartite Graphs, Viktoriia Viktorivna Bilet, Oleksiy Dovgoshey, Yuriy Nikitovich Kononov
Theory and Applications of Graphs
Let (X, d) be a semimetric space and let G be a graph. We say that G is the diametrical graph of (X, d) if X is the vertex set of G and the adjacency of vertices x and y is equivalent to the equality diam X = d(x, y). It is shown that a semimetric space (X, d) with diameter d* is ultrametric if the diametrical graph of (X, d ε) with d ε (x, y) = min{d(x, y), ε} is complete multipartite for every ε ∈ (0, d* …
General Covariance With Stacks And The Batalin-Vilkovisky Formalism, 2022 University of Massachusetts Amherst
General Covariance With Stacks And The Batalin-Vilkovisky Formalism, Filip Dul
Doctoral Dissertations
In this thesis we develop a formulation of general covariance, an essential property for many field theories on curved spacetimes, using the language of stacks and the Batalin-Vilkovisky formalism. We survey the theory of stacks, both from a global and formal perspective, and consider the key example in our work: the moduli stack of metrics modulo diffeomorphism. This is then coupled to the Batalin-Vilkovisky formalism–a formulation of field theory motivated by developments in derived geometry–to describe the associated equivariant observables of a theory and to recover and generalize results regarding current conservation.
Self-Repelling Elastic Manifolds With Low Dimensional Range, 2022 University of Rochester, Rochester, NY 14627, USA
Self-Repelling Elastic Manifolds With Low Dimensional Range, Carl Mueller, Eyal Neumann
Journal of Stochastic Analysis
No abstract provided.
Induced Matrices: Recurrences And Markov Chains, 2022 Southern Illinois University, Carbondale, Illinois 62901, USA
Induced Matrices: Recurrences And Markov Chains, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Using Graph Theoretical Methods And Traceroute To Visually Represent Hidden Networks, 2022 University of Nebraska at Omaha
Using Graph Theoretical Methods And Traceroute To Visually Represent Hidden Networks, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
Within the scope of a Wide Area Network (WAN), a large geographical communication network in which a collection of networking devices communicate data to each other, an example being the spanning communication network, known as the Internet, around continents. Within WANs exists a collection of Routers that transfer network packets to other devices. An issue pertinent to WANs is their immeasurable size and density, as we are not sure of the amount, or the scope, of all the devices that exists within the network. By tracing the routes and transits of data that traverses within the WAN, we can identify …
Unomaha Problem Of The Week (2021-2022 Edition), 2022 University of Nebraska at Omaha
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
The University of Omaha math department's Problem of the Week was taken over in Fall 2019 from faculty by the authors. The structure: each semester (Fall and Spring), three problems are given per week for twelve weeks, with each problem worth ten points - mimicking the structure of arguably the most well-regarded university math competition around, the Putnam Competition, with prizes awarded to top-scorers at semester's end. The weekly competition was halted midway through Spring 2020 due to COVID-19, but relaunched again in Fall 2021, with massive changes.
Now there are three difficulty tiers to POW problems, roughly corresponding to …
Exploring The Numerical Range Of Block Toeplitz Operators, 2022 California Polytechnic State University, San Luis Obispo
Exploring The Numerical Range Of Block Toeplitz Operators, Brooke Randell
Master's Theses
We will explore the numerical range of the block Toeplitz operator with symbol function \(\phi(z)=A_0+zA_1\), where \(A_0, A_1 \in M_2(\mathbb{C})\). A full characterization of the numerical range of this operator proves to be quite difficult and so we will focus on characterizing the boundary of the related set, \(\{W(A_0+zA_1) : z \in \partial \mathbb{D}\}\), in a specific case. We will use the theory of envelopes to explore what the boundary looks like and we will use geometric arguments to explore the number of flat portions on the boundary. We will then make a conjecture as to the number of flat …
Van Kampen Diagrams And Small Cancellation Theory, 2022 California Polytechnic State University, San Luis Obispo
Van Kampen Diagrams And Small Cancellation Theory, Kelsey N. Lowrey
Master's Theses
On The Numerical Range Of Compact Operators, 2022 California Polytechnic State University, San Luis Obispo
On The Numerical Range Of Compact Operators, Montserrat Dabkowski
Master's Theses
One of the many characterizations of compact operators is as linear operators which
can be closely approximated by bounded finite rank operators (theorem 25). It is
well known that the numerical range of a bounded operator on a finite dimensional
Hilbert space is closed (theorem 54). In this thesis we explore how close to being
closed the numerical range of a compact operator is (theorem 56). We also describe
how limited the difference between the closure and the numerical range of a compact
operator can be (theorem 58). To aid in our exploration of the numerical range of
a compact …
Implementation Of A Least Squares Method To A Navier-Stokes Solver, 2022 Francis Marion University
Implementation Of A Least Squares Method To A Navier-Stokes Solver, Jada P. Lytch, Taylor Boatwright, Ja'nya Breeden
Rose-Hulman Undergraduate Mathematics Journal
The Navier-Stokes equations are used to model fluid flow. Examples include fluid structure interactions in the heart, climate and weather modeling, and flow simulations in computer gaming and entertainment. The equations date back to the 1800s, but research and development of numerical approximation algorithms continues to be an active area. To numerically solve the Navier-Stokes equations we implement a least squares finite element algorithm based on work by Roland Glowinski and colleagues. We use the deal.II academic library , the C++ language, and the Linux operating system to implement the solver. We investigate convergence rates and apply the least squares …
Estimating Glutamate Transporter Surface Density In Mouse Hippocampal Astrocytes, 2022 State University of New York at New Paltz
Estimating Glutamate Transporter Surface Density In Mouse Hippocampal Astrocytes, Anca R. Radulescu, Annalisa Scimemi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Optimal Time-Dependent Classification For Diagnostic Testing, 2022 Johns Hopkins University
Optimal Time-Dependent Classification For Diagnostic Testing, Prajakta P. Bedekar, Paul Patrone, Anthony Kearsley
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Mathematical Foundation Of The Musical Scales And Overtones, 2022 Mississippi State University
The Mathematical Foundation Of The Musical Scales And Overtones, Michaela Dubose-Schmitt
Theses and Dissertations
This thesis addresses the question of mathematical involvement in music, a topic long discussed going all the way back to Plato. It details the mathematical construction of the three main tuning systems (Pythagorean, just intonation, and equal temperament), the methods by which they were built and the mathematics that drives them through the lens of a historical perspective. It also briefly touches on the philosophical aspects of the tuning systems and whether their differences affect listeners. It further details the invention of the Fourier Series and their relation to the sound wave to explain the concept of overtones within the …
Sheltered Math Curriculum For Middle School English Learners, 2022 Minnesota State University Moorhead
Sheltered Math Curriculum For Middle School English Learners, Jasmine Ercink
Dissertations, Theses, and Projects
Language barriers have shown a need for differentiation and sheltered instruction in the classroom for English Learners (ELs) to be successful in the United States public school system. This project proposes a mathematics curriculum using SIOP so that both groups of students in the middle school level can increase their proficiency in the mathematics content area as well as experience opportunities for academic and social language development. The purpose of this report is to describe the processes, methods, data, and intent of the mathematics curriculum for these learners. The curriculum acts as an effective intervention to fill gaps in both …
Analyzing Suicidal Text Using Natural Language Processing, 2022 Utah State University
Analyzing Suicidal Text Using Natural Language Processing, Cassandra Barton
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Using Natural Language Processing (NLP), we are able to analyze text from suicidal individuals. This can be done using a variety of methods. I analyzed a dataset of a girl named Victoria that died by suicide. I used a machine learning method to train a different dataset and tested it on her diary entries to classify her text into two categories: suicidal vs non-suicidal. I used topic modeling to find out unique topics in each subset. I also found a pattern in her diary entries. NLP allows us to help individuals that are suicidal and their family members and close …