Research On Arithmetic,
2024
University of Washington – Tacoma
Research On Arithmetic, Erik R. Tou
Euleriana
In this English translation, some of Joseph-Louis Lagrange's early number theory is presented. Here, he laid out a theory of binary quadratic forms with special attention to the representation problem: determining those integers which may be represented by a given form, and cataloguing the possible forms of their divisors.
Number Theory And More,
2024
University of the Pacific
Number Theory And More, Christopher Goff, Erik Tou
Euleriana
An introduction to the contents in Issue 1, Volume 4 of Euleriana.
Caterpillar, Lobster, X Graphs,
2024
College of Saint Benedict/Saint John's University
Caterpillar, Lobster, X Graphs, Gerald Melin, Landon Seward, Will Mahowald, Xavier Jones
Celebrating Scholarship and Creativity Day (2018-)
We studied a combinatorial game played between two players ("Alpha", who goes first, and "Beta", who goes second). The idea is that there are a lot of lightbulbs in a large warehouse, and they take turns turning a light bulb on. When a light bulb is turned on, it illuminates the area directly by it as well as the areas immediately surrounding it. The player who is the one to make all of the warehouse illuminated is the winner. This can be modeled on a graph. The two players take turns (1) selecting a vertex that has not yet been …
Finite State And Sequential Automata,
2024
Western Michigan University
Finite State And Sequential Automata, Kriti Gulgulia
Honors Theses
No abstract provided.
Skeletal 2-Groups And Category Theory,
2024
Providence College
Skeletal 2-Groups And Category Theory, Nicholas Small '25, Alexander Stepanov '26, Haley Waiksnis '25
Mathematics & Computer Science Student Scholarship
Nicholas Small ’25, Mathematics and Computer Science major
Alexander Stepanov ’26, Mathematics and Studio Art major
Haley Waiksnis ’25, Mathematics major
Faculty Mentor: Dr. Laura Murray, Mathematics and Computer Science
Autonomous Remote Erosion Monitoring Using Computer Vision,
2024
Providence College
Autonomous Remote Erosion Monitoring Using Computer Vision, Emily Gelchie '24, Gabriel Benz '25
Mathematics & Computer Science Student Scholarship
Emily Gelchie ’24, Computer Science major
Gabriel Benz ’25, Computer Science major
Faculty Mentor: Dr. Martin Helwig, Mathematics and Computer Science
Media Portrayals Of Mathematics And Mathematicians: An Annotated Bibliography Of Published Journal Articles,
2024
Providence College
Media Portrayals Of Mathematics And Mathematicians: An Annotated Bibliography Of Published Journal Articles, Sarah O'Connor '26
Education Student Scholarship
Sarah O'Connor ’26, Mathematics major
Faculty Mentor: Dr. Kevin O’Conner, Secondary Education and Dr. Olga Limnios, English
Avatars Runnin' On Dunkin,
2024
Providence College
Avatars Runnin' On Dunkin, Keelin Robbins '26
Mathematics & Computer Science Student Scholarship
Keelin Robbins ’26, Computer Science major, Finance minor
Faculty Mentor: Dr. Martin Helwig, Mathematics and Computer Science
Blueberry Drone Ai: Estimating Crop Yield Using Deep Learning & Smart Drones,
2024
Rowan University
Blueberry Drone Ai: Estimating Crop Yield Using Deep Learning & Smart Drones, Luke Tonon, Brandon Mchenry, Anthony Thompson, Harper Zappone, Jacob Green, Hieu Nguyen, Thanh Nguyen
STEM Student Research Symposium Posters
This project seeks to assist blueberry growers in New Jersey estimate crop yield by developing software that allows autonomous drones to capture aerial images of blueberry bushes in the field, perform berry count, and identify blueberry conditions using deep learning models & computer vision.
Blueberry Drone Ai: Smart Farming Of Blueberries Using Artificial Intelligence And Autonomous Drones,
2024
Rowan University
Blueberry Drone Ai: Smart Farming Of Blueberries Using Artificial Intelligence And Autonomous Drones, Robert Czarnota, Anthony Segrest, Anthony Thompson, Harper Zappone, Hieu Nguyen, Nguyen Thanh, Ik Jae Lee, Lori Green, Tuan Le
STEM Student Research Symposium Posters
This project seeks to assist blueberry growers in New Jersey with preventing blueberry scorch disease. Plants can’t be cured of scorch, so they have to be removed to prevent the disease from spreading to other bushes. This project aims to use object detection and classifier machine learning models in order to detect scorch disease with photos from intelligent drones. Images are first tiled, then processed through and convolutional neural network that detects scorch symptoms. Lastly, a fully connected neural network is implemented to make a final prediction.
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents,
2024
Kennesaw State University
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents, Mahdiyeh Soltaninejad
Dissertations
The high prevalence of dental caries among children and adolescents, especially those from lower socio-economic backgrounds, is a significant nationwide health concern. Early prevention, such as dental sealants and fluoride varnish (FV), is essential, but access to this care remains limited and disparate. In this research, a national dataset is utilized to assess sealants' reach and effectiveness in preventing tooth decay, particularly focusing on 2nd molars that emerge during early adolescence, a current gap in the knowledge base. FV is recommended to be delivered during medical well-child visits to children who are not seeing a dentist. Challenges and facilitators in …
The Effect Of Fixed Time Delays On The Synchronization Phase Transition,
2024
University of South Florida
The Effect Of Fixed Time Delays On The Synchronization Phase Transition, Shaizat Bakhytzhan
USF Tampa Graduate Theses and Dissertations
Nature is full of synchronization phenomena, which are essential to many scientific fields like biology, chemistry, physics, and neuroscience. The Kuramoto model is a well-known theoretical model that helps explain the fundamental ideas behind synchronization dynamics [6]. Nevertheless, in practical situations, systems frequently display intrinsic latency, which can greatly impact their behavior during synchronization. This insight inspired our work, which looks at the results of adding temporal delays to the Kuramoto model. In particular, we investigate how the system’s synchronization dynamics are affected by delays. We shed light on the mechanisms underpinning synchronization in the face of temporal delays and …
Extending Natural Mates In Euclidean 3-Space And Applications To Bertrand Pairs,
2024
Andrews University
Extending Natural Mates In Euclidean 3-Space And Applications To Bertrand Pairs, Alexander Navarro
Honors Theses
In Euclidean 3-space, a family of curves, the co-successor, is motivated and then introduced in relation to the natural mate. A complete characterization of co-successors is proved, followed by an application of the co-successor towards describing Bertrand curves and their mates.
Geometries Gon Wild,
2024
Bellarmine University
Geometries Gon Wild, Naat Ambrosino
Undergraduate Theses
A circle is mathematically defined as the collection of points a given distance away from a set point. Thus, the appearance of a circle varies dramatically across different metrics—for example, the taxicab metric (as popularized by Krause and Reynolds) has a circle that is a Euclidean square. As such, metrics can be partially defined by the appearance of their unit circles. This paper focuses on creating and analyzing an infinite set of metrics defined by their circles being regular polygons. Additionally, it provides a method of exactly generating a regular n-gon given a center, included point, and specified orientation.
Green Function In Metric Measure Spaces,
2024
Smith College
Green Function In Metric Measure Spaces, Mario Bonk, Luca Capogna, Xiaodan Zhou
Mathematics Sciences: Faculty Publications
We study existence and uniqueness of Green functions for the Cheeger QLaplacian in metric measure spaces that are Ahlfors Q-regular and support a Q-Poincar´e inequality with Q > 1. We prove uniqueness of Green functions both in the case of relatively compact domains, and in the global (unbounded) case. We also prove existence of global Green functions in unbounded spaces, complementing the existing results in relatively compact domains proved recently in [BBL20].
Solvability And Difficulty Of The Snake Puzzle In The Cube And Its Topological Variants,
2024
Andrews University
Solvability And Difficulty Of The Snake Puzzle In The Cube And Its Topological Variants, Jamie Shepard
Honors Theses
A snake cube is a puzzle made by a sequence of n3 straight and turn pieces that can fold into a n x n x n cube. Solving the puzzle is comparable to the problem of finding a Hamiltonian path in the grid graph of the cube. By using computer algorithms, we find and count all sequences that are solutions. Furthermore, we can count the unique folding configurations of each sequence giving us an idea of its difficulty. Finally, we expand on this by exploring the problem in other topological variants of the cube, which sheds insight into the problem …
Analyzing The Effect Of Targeted Activities On Linear Concept Understanding,
2024
Andrews University
Analyzing The Effect Of Targeted Activities On Linear Concept Understanding, Jenae Rogers
Honors Theses
Despite previously showing mastery of all test topics in ALEKS, Andrews’ remedial math students continue to struggle with some of them on the paper tests. After previous research, additional teaching activities, including one targeting word problems, were implemented to address student misconceptions about linear equations. My current research compares student performance on the paper tests before and after these activities on questions regarding linear relationship word problems. My findings show no statistically significant difference in student performance after these activities. These results will lead to further curriculum changes, in an attempt to increase students’ long-term conceptual understanding and problem-solving skills.
Rsa Algorithm,
2024
Arkansas Tech University
Rsa Algorithm, Evalisbeth Garcia Diazbarriga
ATU Scholars Symposium
I will be presenting about the RSA method in cryptology which is the coding and decoding of messages. My research will focus on proving that the method works and how it is used to communicate secretly.
Data Analytics Internship At Fastenal,
2024
Winona State University
Data Analytics Internship At Fastenal, Jacob J. Haines
Research & Creative Achievement Day
The poster will present the results from an analysis of Fastenal's customer base to find characteristics among them that serve as useful predictors of their spending habits. This will allow Fastenal to create more accurate control groups when assessing the effectiveness of various marketing initiatives. This poster acts as the communication of capstone experience outcomes which is required for Data Science majors in addition to the capstone experience.
Using Data Visualizations To Analyze Employee Performance At Xcel Energy,
2024
Winona State University
Using Data Visualizations To Analyze Employee Performance At Xcel Energy, Abby Venz
Research & Creative Achievement Day
Companies often are curious about their employee performance. But how, exactly, do they analyze this? As a Data Analytics Intern for Xcel Energy, I was in charge of doing just this. This poster will walk you through the methods used to analyze and model employee performance, as well as the results found and the different ways managers at Xcel Energy used them
