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On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined On Dual Spaces, Vy Khoi Le 2024 Missouri University of Science and Technology

On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined On Dual Spaces, Vy Khoi Le

Mathematics and Statistics Faculty Research & Creative Works

This article addresses two main objectives. First, it establishes a functional analytic framework and presents existence results for a quasilinear inclusion describing a prescribed mean curvature problem with homogeneous Dirichlet boundary conditions, involving a multivalued lower order term. The formulation of the problem is done in the space of functions with bounded variation. The second objective is to introduce a general existence theory for inclusions defined on nonreflexive Banach spaces, which is specifically applicable to the aforementioned prescribed mean curvature problem. This problem can be formulated as a multivalued variational inequality in the space of functions with bounded variation, which, …


Multiscale Modelling Of Brain Networks And The Analysis Of Dynamic Processes In Neurodegenerative Disorders, Hina Shaheen 2024 Wilfrid Laurier University

Multiscale Modelling Of Brain Networks And The Analysis Of Dynamic Processes In Neurodegenerative Disorders, Hina Shaheen

Theses and Dissertations (Comprehensive)

The complex nature of the human brain, with its intricate organic structure and multiscale spatio-temporal characteristics ranging from synapses to the entire brain, presents a major obstacle in brain modelling. Capturing this complexity poses a significant challenge for researchers. The complex interplay of coupled multiphysics and biochemical activities within this intricate system shapes the brain's capacity, functioning within a structure-function relationship that necessitates a specific mathematical framework. Advanced mathematical modelling approaches that incorporate the coupling of brain networks and the analysis of dynamic processes are essential for advancing therapeutic strategies aimed at treating neurodegenerative diseases (NDDs), which afflict millions of …


Energy Extraction, Or Lack Thereof, Nishanth Gudapati 2023 Clark University

Energy Extraction, Or Lack Thereof, Nishanth Gudapati

Mathematics

The problem of stability of rotating black holes is the subject of a long standing research program since the 1960s and remains an unresolved problem in general relativity. A major obstacle in the black hole stability problem is that the energy of waves propagating through rotating black holes spacetimes is not necessarily positive-definite, due to the so called ergo-region. This is a serious complication that limits the efficacy of most mathematical techniques. In this expository article, we report that, despite the ergo-region, there exists a positive-definite total energy for axisymmetric Maxwell, gravitational and electrovacuum perturbations of Kerr and Kerr–Newman black …


Characterization Of The Long-Distance Dispersal Kernel Of White-Tailed Deer And Evaluating Its Impact On Chronic Wasting Disease Spread In Wisconsin, Mennatallah Gouda 2023 Utah State University

Characterization Of The Long-Distance Dispersal Kernel Of White-Tailed Deer And Evaluating Its Impact On Chronic Wasting Disease Spread In Wisconsin, Mennatallah Gouda

All Graduate Theses and Dissertations, Fall 2023 to Present

Chronic Wasting Disease (CWD) is a fatal, untreatable neurodegenerative disease that infects deer and related species. It is highly contagious and caused by abnormal malfunction and assembly of normal cellular proteins into aggregation-prone proteins. The Centers for Disease Control and prevention report that the prevalence of CWD in free-ranging deer in the US is still relatively low. However, in several states the infection rates exceed 1 deer in 10. Deer may uptake CWD from direct interaction with infected individuals or from the environment. Infected individuals shed CWD into the environment through feces, urine, saliva or carcasses, and long-distance dispersal of …


A Survey On Varieties Generated By Small Semigroups And A Companion Website, João Araújo, João Pedro Araújo, Peter J. Cameron, Edmond W. H. Lee, Jorge Raminhos 2023 Universidade Nova de Lisboa

A Survey On Varieties Generated By Small Semigroups And A Companion Website, João Araújo, João Pedro Araújo, Peter J. Cameron, Edmond W. H. Lee, Jorge Raminhos

Mathematics Faculty Articles

This paper presents new findings on varieties generated by small semigroups and groups, and offers a survey of existing results. A companion website is provided which hosts a computational system integrating automated reasoning tools, finite model builders, SAT solvers, and GAP. This platform is a living guide to the literature. In addition, the first complete and justified list of identity bases for all varieties generated by a semigroup of order up to 4 is provided as supplementary material. The paper concludes with an extensive list of open problems.


Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics, Manal Badgaish, Dr. Padmanabhan Seshaiyer 2023 George Mason University

Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics, Manal Badgaish, Dr. Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose, Charlotte Beckford 2023 University of Tennessee, Knoxville

Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose, Charlotte Beckford

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Modeling Framework For Minimizing Spread Of Mathematics Anxiety In College Students, Sara Sony, Majid Bani-Yaghoub 2023 UMKC

A Modeling Framework For Minimizing Spread Of Mathematics Anxiety In College Students, Sara Sony, Majid Bani-Yaghoub

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Langevin Dynamic Models For Smfret Dynamic Shift, David Frost, Keisha Cook Dr, Hugo Sanabria Dr 2023 Clemson University

Langevin Dynamic Models For Smfret Dynamic Shift, David Frost, Keisha Cook Dr, Hugo Sanabria Dr

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova 2023 University of Dayton

Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Geometry Of Competition And Stability For One-Host, Two-Parasitoid Systems With Application To Biocontrol, Michael Kerckhove 2023 University of Richmond

Geometry Of Competition And Stability For One-Host, Two-Parasitoid Systems With Application To Biocontrol, Michael Kerckhove

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: Algebraic Methods For Inferring Discrete Models Of Biological Networks, Brandilyn Stigler 2023 Southern Methodist University

Msis-Kadelka: Algebraic Methods For Inferring Discrete Models Of Biological Networks, Brandilyn Stigler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Integrating Quantitative Skills Into Biology Courses, Kathleen Hoffman, Sarah Leupen, Hannah Pie, Michelle Starz-Gaiano, Patricia Turner, Tory Williams 2023 UMBC

Integrating Quantitative Skills Into Biology Courses, Kathleen Hoffman, Sarah Leupen, Hannah Pie, Michelle Starz-Gaiano, Patricia Turner, Tory Williams

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kondrashov: Constrained Optimization: Maximizing Student Success Subject To Covering Required Calculus Content, Reginald McGee 2023 College of the Holy Cross

Msis-Kondrashov: Constrained Optimization: Maximizing Student Success Subject To Covering Required Calculus Content, Reginald Mcgee

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


⊕-Supplemented Semimodules, Ahmed H. Alwan 2023 Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

⊕-Supplemented Semimodules, Ahmed H. Alwan

Al-Bahir Journal for Engineering and Pure Sciences

In this paper, ⊕-Supplemented Semimodules are defined as generalizations of ⊕-Supplemented modules. Let S be a semiring. An S-semimodule A is named a ⊕-supplemented semimodule, if every subsemimodule of A has a supplement which is a direct summand of A. In this paper, we investigate some properties of ⊕-supplemented semimodules besides generalize certain results on ⊕-supplemented modules to semimodules.


Myth Or Fact? An Analysis Of Covid-19 Deaths In Red Versus Blue States Of America, Nishat Ara Mozid, Kwabena Sakyi Duku 2023 Illinois State University

Myth Or Fact? An Analysis Of Covid-19 Deaths In Red Versus Blue States Of America, Nishat Ara Mozid, Kwabena Sakyi Duku

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions, Morgan N. Beetler 2023 Texas Tech University

Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions, Morgan N. Beetler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Effects Of Persistent Post-Concussion Syndrome, Jackson Flemming, Olivia Schleifer, Megan Powell 2023 Illinois State University

The Effects Of Persistent Post-Concussion Syndrome, Jackson Flemming, Olivia Schleifer, Megan Powell

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


El Desarrollo Del Pensamiento Matemático Básico Del Nivel Medio Superior Con Khan Academy, En El Centro De Estudios Tecnológicos Del Mar No. 19, Frontera, Tabasco [Presentación En Congreso], Cristo Leon, Daniel Méndez de la Cruz, Patricia del Carmen Gerónimo Ramos, Josué Ojeda Montejo 2023 New Jersey Institute of Technology

El Desarrollo Del Pensamiento Matemático Básico Del Nivel Medio Superior Con Khan Academy, En El Centro De Estudios Tecnológicos Del Mar No. 19, Frontera, Tabasco [Presentación En Congreso], Cristo Leon, Daniel Méndez De La Cruz, Patricia Del Carmen Gerónimo Ramos, Josué Ojeda Montejo

STEM for Success Resources

Este estudio profundiza en la aplicación de la plataforma Khan Academy para mejorar el Pensamiento Matemático en estudiantes de primer semestre del CETMar No. 19 de Frontera, Tabasco, como respuesta a los desafiantes resultados en matemáticas del PLANEA Media Superior 2022. Analiza el rendimiento previo y actual, integra tecnologías educativas en la currícula, y evalúa el impacto de estas estrategias en el aprovechamiento académico, proporcionando un plan de acción replicable para instituciones de educación media superior enfrentadas a retos similares. Destacando términos clave como "Pensamiento Matemático", "Rendimiento Académico", "Khan Academy", y "Tecnologías de la Información en Educación",


Eigenvalue And Singular Value Inequalities Via Extreme Principles, Fuzhen Zhang 2023 Nova Southeastern University

Eigenvalue And Singular Value Inequalities Via Extreme Principles, Fuzhen Zhang

Mathematics Colloquium Series

Given two square matrices of the same order, we consider the eigenvalues and singular values of the sum and product of the matrices. For example, what can be said about the sum of the largest and smallest eigenvalues of the product of two positive semidefinite matrices? This talk reviews some eigenvalue and singular value inequalities recently obtained via minimax principles. In particular, we present singular value inequalities of log-majorization type.


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