A Variational Theory For Integral Functionals Involving
Finite-Horizon Fractional Gradients,
2023
University of Nebraska-Lincoln
A Variational Theory For Integral Functionals Involving Finite-Horizon Fractional Gradients, Javier Cueto, Carolin Carolin, Hidde Schönberger
Department of Mathematics: Faculty Publications
The center of interest in this work are variational problems with integral functionals depending on nonlocal gradients with finite horizon that correspond to truncated versions of the Riesz fractional gradient. We contribute several new aspects to both the existence theory of these problems and the study of their asymptotic behavior. Our overall proof strategy builds on finding suitable translation operators that allow to switch between the three types of gradients: classical, fractional, and nonlocal. These provide useful technical tools for transferring results from one setting to the other. Based on this approach, we show that quasiconvexity, which is the natural …
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices,
2023
Southern Illinois University, Carbondale, Illinois 62901, USA
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Topological Data Analysis Using The Mapper Algorithm,
2023
University of Central Florida
Topological Data Analysis Using The Mapper Algorithm, Jessica Girard
Electronic Theses and Dissertations, 2020-2023
Topological data analysis is an expanding field that attempts to obtain qualitative information from a data set using topological ideas. There are two common methods of topological data analysis: persistent homology and the Mapper algorithm; the focus of this thesis is on the latter. In this thesis, we will be discussing the key ideas behind the Mapper algorithm, following the flow from Morse Theory to Reeb graphs to the topological version of the algorithm and finally to the statistical version. Lastly, we will present an application of Mapper to the USAIR97 data set using the RTDAmapper package.
Efficient And Secure Digital Signature Algorithm (Dsa),
2023
university mh'amed bougara of boumerdes
Efficient And Secure Digital Signature Algorithm (Dsa), Nissa Mehibel, M'Hamed Hamadouche
Emirates Journal for Engineering Research
The digital signature is used to ensure the integrity of messages as well as the authentication and non-repudiation of users. Today it has a very important role in information security. Digital signature is used in various fields such as e-commerce and e-voting, health, internet of things (IOT). Many digital signature schemes have been proposed, depending on the computational cost and security level. In this paper, we analyzed a recently proposed digital signature scheme based on the discrete logarithm problem (DLP). Our analysis shows that the scheme is not secure against the repeated random number attack to determine the secret keys …
Approaches To The Erdős–Straus Conjecture,
2023
CUNY New York City College of Technology
Approaches To The Erdős–Straus Conjecture, Ivan V. Morozov
Publications and Research
The Erdős–Straus conjecture, initially proposed in 1948 by Paul Erdős and Ernst G. Straus, asks whether the equation 4/n = 1/x + 1/y + 1/z is solvable for all n ∈ N and some x, y, z ∈ N. This problem touches on properties of Egyptian fractions, which had been used in ancient Egyptian mathematics. There exist many partial solutions, mainly in the form of arithmetic progressions and therefore residue classes. In this work we explore partial solutions and aim to expand them.
Using Geographic Information To Explore Player-Specific Movement And Its Effects On Play Success In The Nfl,
2023
Southern Methodist University
Using Geographic Information To Explore Player-Specific Movement And Its Effects On Play Success In The Nfl, Hayley Horn, Eric Laigaie, Alexander Lopez, Shravan Reddy
SMU Data Science Review
American Football is a billion-dollar industry in the United States. The analytical aspect of the sport is an ever-growing domain, with open-source competitions like the NFL Big Data Bowl accelerating this growth. With the amount of player movement during each play, tracking data can prove valuable in many areas of football analytics. While concussion detection, catch recognition, and completion percentage prediction are all existing use cases for this data, player-specific movement attributes, such as speed and agility, may be helpful in predicting play success. This research calculates player-specific speed and agility attributes from tracking data and supplements them with descriptive …
Secondary Features Of Importance For A Url Ranking,
2023
Harrisburg University of Science and Technology
Secondary Features Of Importance For A Url Ranking, Atajan Abdyyev
Dissertations and Theses
This paper investigates the impact of secondary ranking factors on webpage relevance and rankings in the context of Search Engine Optimization (SEO), focusing on the jewelry domain within the United States e-commerce market. By generating a keyword list related to jewelry and retrieving top URLs from Google's search results, the study employs machine learning models including XGBoost, CatBoost, and Linear Regression to identify key features influencing webpage relevance and rankings.The findings highlight specific optimal ranges for features like Outlinks, Unique Inlinks, Flesch Reading Ease Score, and others, indicating their significant impact on better rankings. Notably, Random Forest model performed best …
Signings Of Graphs And Sign-Symmetric Signed Graphs,
2023
Mississippi State University
Signings Of Graphs And Sign-Symmetric Signed Graphs, Ahmad Asiri
Theses and Dissertations
In this dissertation, we investigate various aspects of signed graphs, with a particular focus on signings and sign-symmetric signed graphs. We begin by examining the complete graph on six vertices with one edge deleted ($K_6$\textbackslash e) and explore the different ways of signing this graph up to switching isomorphism. We determine the frustration index (number) of these signings and investigate the existence of sign-symmetric signed graphs. We then extend our study to the $K_6$\textbackslash 2e graph and the McGee graph with exactly two negative edges. We investigate the distinct ways of signing these graphs up to switching isomorphism and demonstrate …
Anomaly Detection In The Molecular Structure Of Gallium Arsenide Using Convolutional Neural Networks,
2023
Air Force Institute of Technology
Anomaly Detection In The Molecular Structure Of Gallium Arsenide Using Convolutional Neural Networks, Timothy Roche, Aihua W. Wood, Philip Cho, Chancellor Johnstone
Faculty Publications
This paper concerns the development of a machine learning tool to detect anomalies in the molecular structure of Gallium Arsenide. We employ a combination of a CNN and a PCA reconstruction to create the model, using real images taken with an electron microscope in training and testing. The methodology developed allows for the creation of a defect detection model, without any labeled images of defects being required for training. The model performed well on all tests under the established assumptions, allowing for reliable anomaly detection. To the best of our knowledge, such methods are not currently available in the open …
Examining The Effectiveness Of Using Point-Of-View Video Modeling On Mathematics Improvement In Students With Learning Disabilities In Saudi Arabia,
2023
Duquesne University
Examining The Effectiveness Of Using Point-Of-View Video Modeling On Mathematics Improvement In Students With Learning Disabilities In Saudi Arabia, Tirad Alsaluli
Electronic Theses and Dissertations
Video Modeling (VM) is one of the most widely used approaches by researchers to improve many skills, such as academic skills in students with Learning Disabilities (LD; Boon et al., 2020). As the incidence rate of individuals with LD in Saudi Arabia increase (Almedlij & Rubinstein-Ávila, 2018), the need for evidence-based math interventions focused on the math development of individuals with LD also increases. Although VM is recognized as an Evidence-based Practice (EBPs), a limited number of studies have implemented VM as an intervention to improve mathematic skills. Implementing VM as a math intervention strategy would explore its effects on …
Cookie(X) = 1/2,
2023
The University of Texas at El Paso
Cookie(X) = 1/2, Lawrence M. Lesser
Journal of Humanistic Mathematics
This poem applies the concept of expected value, denoted E(X), to the context of any limited resources two parties desire. Usually, "you divide, I choose" keeps pieces equal enough to preempt charges of unfairness. But if one piece is much larger, many distrust the unbiased (in expected value) process of a coin flip giving each person the same chance at the bigger piece and the same cookie amount on average: E(X) = (1/2)p + (1/2)(1-p) = 1/2
Ahab's Mercy,
2023
Western Connecticut State University
Ahab's Mercy, David Sheskin
Journal of Humanistic Mathematics
A tale in which Captain Ahab and his chief mate Starbuck confront a classic problem in probability theory: the Monty Hall Problem.
Zeno Of Elea: A Dichotomy,
2023
Indiana University South Bend
Zeno Of Elea: A Dichotomy, Joseph Chaney
Journal of Humanistic Mathematics
This two-part poem interprets Zeno's paradoxes as dimensions of a paradoxical view of reality.
I Am A Math Professor,
2023
Appalachian State University
I Am A Math Professor, Cacey L. Wells
Journal of Humanistic Mathematics
Original poem depicting the life of a math professor.
Elephant In The Room,
2023
University of Toronto
Elephant In The Room, Sabrina Sixta
Journal of Humanistic Mathematics
This poem tries to express the difficulty of staying focused on one's research when there is so much turmoil in the world.
Infinity,
2023
University of New Mexico
Ultrafilters,
2023
TU Delft
Ultrafilters, Klaas Pieter Hart
Journal of Humanistic Mathematics
5-7-5 musings on ultrafilters.
Her X'S And Y'S: Limericks About Women Mathematicians,
2023
Drexel University
Her X'S And Y'S: Limericks About Women Mathematicians, Marion D. Cohen
Journal of Humanistic Mathematics
This poetry folder is just what its title says, limericks about women mathematicians. A few of them I’ve known personally, most not. There are, of course, many many many other women mathematicians; even though I write limericks prolifically, I could never finish writing about them all!
May Graduation,
2023
Boise State University
May Graduation, Samuel Coskey
Journal of Humanistic Mathematics
Here I narrate the story of the last few days of my graduate program in mathematics. After the completion of the thesis and the delivery of the defense, several twists and turns await in the hours and even minutes before the last deadline.
Towards Ethical Ai: Mathematics Influences Human Behavior,
2023
Department of Computing and Mathematics, FFCLRP University of Sao Paulo, Brazil
Towards Ethical Ai: Mathematics Influences Human Behavior, Dioneia M. Monte-Serrat, Carlo Cattani
Journal of Humanistic Mathematics
Mathematics plays an important role in the linguistic structure of artificial in- telligence (AI). We describe the linguistic process as a unique structure present both in human cognition and in cognitive computing. The close relationship with both AI and human cognition is due to this unique structure, which paves the way for AI to interfere with the behavior of those who interact with it. We highlight the role of mathematicians in designing algorithms—the core of the AI linguistic process—and in defining steps and instructions for AI. Because al- gorithms, through AI, interfere with the thought of those who interact with …
