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Articles 871 - 900 of 27379

Full-Text Articles in Physical Sciences and Mathematics

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

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 Nov 2023

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 Nov 2023

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.


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

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.


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

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.


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

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 Nov 2023

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 Nov 2023

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 Nov 2023

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 Nov 2023

⊕-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.


Program: 2023 Undergraduate Mathematics Day, University Of Dayton Nov 2023

Program: 2023 Undergraduate Mathematics Day, University Of Dayton

Undergraduate Mathematics Day: Programs, Lectures, Promotional Materials

No abstract provided.


Poster: 2023 Undergraduate Mathematics Day, University Of Dayton Nov 2023

Poster: 2023 Undergraduate Mathematics Day, University Of Dayton

Undergraduate Mathematics Day: Programs, Lectures, Promotional Materials

No abstract provided.


A Cryptographic Tour Of The Enigma, Frank Casabianca Nov 2023

A Cryptographic Tour Of The Enigma, Frank Casabianca

Undergraduate Mathematics Day: Programs, Lectures, Promotional Materials

Cryptography is the study of hidden information. This includes techniques to create and read secure secret messages (encryption/decryption) as well as methods to break the security of hidden messages, regardless of the intended recipient (cryptanalysis). This talk will explore basic cryptographic principles using manual cryptosystems, progress to the concepts behind - and the mechanical inner workings of - the well-known Enigma Cipher deployed in WWII, and discuss how cryptography surrounds us in the modern day.


23rd Annual Kenneth C. Schraut Memorial Lecture: Languages, Alphabets, And Group Theory, Gizem Karaali Nov 2023

23rd Annual Kenneth C. Schraut Memorial Lecture: Languages, Alphabets, And Group Theory, Gizem Karaali

Undergraduate Mathematics Day: Programs, Lectures, Promotional Materials

In 1960 Eugene Wigner wrote a now-famous article titled The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In 1993, the homophonic quotient groups for French and English (the quotient of the free group generated by the French (respectively English) alphabet determined by relations representing standard pronunciation rules) were explicitly characterized. In this talk, we will explore the mathematical and philosophical connections between these two works. Mathematically I will describe how my colleagues Herbert Gangl, Woohyung Lee (PO’15) and I, native speakers of three quite different languages, applied the methodology proposed in 1993 to our three language systems: German, Korean, …


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

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 Nov 2023

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.


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

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.


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 Nov 2023

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",


Rigidity Of Ext And Tor Via Flat–Cotorsion Theory, Lars Winther Christensen, Luigi Ferraro, Peder Thompson Nov 2023

Rigidity Of Ext And Tor Via Flat–Cotorsion Theory, Lars Winther Christensen, Luigi Ferraro, Peder Thompson

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^n(k(p),M) = 0 for some n >= dim R, then Ext_R^i(k(p),M) = 0 holds for all i >= n. This improves a result of Christensen, Iyengar, and Marley by lowering the bound on n. We also improve existing results on Tor-rigidity. This progress is driven by the existence of minimal semi-flat-cotorsion replacements in the derived category as recently proved by Nakamura and Thompson.


Eigenvalue And Singular Value Inequalities Via Extreme Principles, Fuzhen Zhang Nov 2023

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.


From Type-2 Fuzzy To Type-2 Intervals And Type-2 Probabilities, Vladik Kreinovich, Olga Kosheleva, Luc Longpré Nov 2023

From Type-2 Fuzzy To Type-2 Intervals And Type-2 Probabilities, Vladik Kreinovich, Olga Kosheleva, Luc Longpré

Departmental Technical Reports (CS)

Our knowledge comes from observations, measurements, and expert opinions. Measurements and observations are never 100% accurate, there is always a difference between the measurement result and the actual value of the corresponding quantity. We gauge the resulting uncertainty either by an interval of possible values, or by a probability distribution on the set of possible values, or by a membership function that describes to what extent different values are possible. The information about uncertainty also comes either from measurements or from expert estimates and is, therefore, also uncertain. It is important to take such "type-2" uncertainty into account. This is …


Which Random-Set Representation Of A Fuzzy Set Is The Simplest?, Vladik Kreinovich, Olga Kosheleva, Hung T. Nguyen Nov 2023

Which Random-Set Representation Of A Fuzzy Set Is The Simplest?, Vladik Kreinovich, Olga Kosheleva, Hung T. Nguyen

Departmental Technical Reports (CS)

One of the ways to elicit membership degrees is by polling. For example, we ask a group of people how many believe that 30 C is hot. If 8 out of ten say that it is hot, we assign the degree 8/10 to the statement "30 C is hot". In precise mathematical terms, polling can be described via so-called random sets. It is known that every fuzzy set can be obtained this way, i.e., that every fuzzy set can be represented by an appropriate random set. Moreover, it is known that for many fuzzy sets, there are several different random-set …


Uncertainty Quantification For Results Of Ai-Based Data Processing: Towards More Feasible Algorithms, Christoph Q. Lauter, Martine Ceberio, Vladik Kreinovich, Olga Kosheleva Nov 2023

Uncertainty Quantification For Results Of Ai-Based Data Processing: Towards More Feasible Algorithms, Christoph Q. Lauter, Martine Ceberio, Vladik Kreinovich, Olga Kosheleva

Departmental Technical Reports (CS)

AI techniques have been actively and successfully used in data processing. This tendency started with fuzzy techniques, now neural network techniques are actively used. With each new technique comes the need for the corresponding uncertainty quantification (UQ). In principle, for both fuzzy and neural techniques, we can use the usual UQ methods -- however, these techniques often require an unrealistic amount of computation time. In this paper, we show that in both cases, we can use specific features of the corresponding techniques to drastically speed up the corresponding computations.


Giant Footprints Of Buddha And Generalized Limits, Julio C. Urenda, Vladik Kreinovich Nov 2023

Giant Footprints Of Buddha And Generalized Limits, Julio C. Urenda, Vladik Kreinovich

Departmental Technical Reports (CS)

In many places in Asia, there are footprints claimed to be left by Buddha. Many of them are much larger than the usual size of human feet, up to 150 cm and more in length. In this paper, we provide a possible mathematical explanation for such unusual sizes.


A Natural Pseudometric On Homotopy Groups Of Metric Spaces, Jeremy Brazas, Paul Fabel Nov 2023

A Natural Pseudometric On Homotopy Groups Of Metric Spaces, Jeremy Brazas, Paul Fabel

Mathematics Faculty Publications

For a path-connected metric space (X, d), the n-th homotopy group π n ( X) inherits a natural pseudometric from the n-th iterated loop space with the uniform metric. This pseudometric gives π n ( X) the structure of a topological group and when X is compact, the induced pseudometric topology is independent of the metric d. In this paper, we study the properties of this pseudometric and how it relates to previously studied structures on π n ( X). Our main result is that the pseudometric topology agrees with the shape topology on π n ( X) if X …


Usually, Either Left And Right Brains Are Equally Active Or Only One Of Them Is Active: First-Principles Explanation, Julio C. Urenda, Vladik Kreinovich Nov 2023

Usually, Either Left And Right Brains Are Equally Active Or Only One Of Them Is Active: First-Principles Explanation, Julio C. Urenda, Vladik Kreinovich

Departmental Technical Reports (CS)

It is known that in most practical situations, either both left and right brains are equally active, or only one of them is active. A recent paper showed that this empirical phenomenon can be explained by a realistic model of the brain effectiveness. In this paper, we show that this conclusion can be made without any specific assumptions about the brain, based on first principles.


How To Efficiently Propagate P-Box Uncertainty, Olga Kosheleva, Vladik Kreinovich Nov 2023

How To Efficiently Propagate P-Box Uncertainty, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In many practical situations, to get the desired estimate or prediction, we need to process existing data. This data usually comes from measurements, and measurements are never 100% accurate. Because we only know the input values with uncertainty, the results of processing this data also comes with uncertainty. To make an appropriate decision, we need to know how accurate is the resulting estimate, i.e., how the input uncertainty "propagates" through the data processing algorithm. In the ideal case, when we know the probability distribution of each measurement error, we can, in principle, use Monte-Carlo simulations to describe the uncertainty of …


Conceptualizing Ethics, Authenticity, And Efficacy Of Simulations In Teacher Education, Carrie Wilkerson Lee, Liza Bondurant, Bima Sapkota, Heather Howell, Yvonne Lai Nov 2023

Conceptualizing Ethics, Authenticity, And Efficacy Of Simulations In Teacher Education, Carrie Wilkerson Lee, Liza Bondurant, Bima Sapkota, Heather Howell, Yvonne Lai

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

This working group was a continuation of working groups in 2019 and 2021 that initially aimed to focus on equity in simulations of practice in mathematics teacher education. We began by discussing our conceptualizations of simulations and equity. Next, we reflected on the lack of work that currently exists at the intersection of simulations and equity as well as our limited collective expertise in this space. We proposed the following areas of potential research: Access,Design, Affective Domains, Teaching Practices, Assessment, Critical Conversations. Attendees self-selected into focus groups and met to discuss their current work and how future work could focus …


Geometric Aspects Of Quantization And Relationship To Integrability, Paul Bracken Nov 2023

Geometric Aspects Of Quantization And Relationship To Integrability, Paul Bracken

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

It is the case that quantum mechanics has a deep geometric structure and can be presented accordingly. Quantum mechanics is to a certain degree foreshadowed by the geometry inherent in the geometric structure of classical mechanics. The purpose here is to present some new results and proofs which impact the mathematical structure of quantum mechanics. The relationship between integrability and quantum physics is investigated in terms of geometric ideas and structures. Two physical examples are drawn from these mathematical ideas which directly relate to physics. An introduction as to how these ideas can be extended to infinite degrees of freedom …


A Review Of Cyber Attacks On Sensors And Perception Systems In Autonomous Vehicle, Taminul Islam, Md. Alif Sheakh, Anjuman Naher Jui, Omar Sharif, Md Zobaer Hasan Nov 2023

A Review Of Cyber Attacks On Sensors And Perception Systems In Autonomous Vehicle, Taminul Islam, Md. Alif Sheakh, Anjuman Naher Jui, Omar Sharif, Md Zobaer Hasan

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Vehicle automation has been in the works for a long time now. Automatic brakes, cruise control, GPS satellite navigation, etc. are all common features seen in today's automobiles. Automation and artificial intelligence breakthroughs are likely to lead to an increase in the usage of automation technologies in cars. Because of this, mankind will be more reliant on computer-controlled equipment and car systems in our daily lives. All major corporations have begun investing in the development of self-driving cars because of the rapid advancement of advanced driver support technologies. However, the level of safety and trustworthiness is still questionable. Imagine what …