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Articles 1351 - 1380 of 27383
Full-Text Articles in Physical Sciences and Mathematics
Mean Value Theorems For Analytic Functions, Lubomir Markov
Mean Value Theorems For Analytic Functions, Lubomir Markov
Mathematics Colloquium Series
Questions related to the location of zeros and critical points of classes of functions (polynomial, entire, analytic in a certain domain, etc.) are fundamentally important in Analysis. In this talk, he will examine some interesting mean value theorems concerning real and complex analytic functions, focusing on the complex case. He will also present sharper versions of two known results. Part of the presentation will pay tribute to the remarkable contributions of several classical Bulgarian mathematicians to problems involving the distribution of zeros of a function and its derivative(s).
Analysis Of An Seir Model With Non-Constant Population, Kylar Byrd, Tess Tracy, Sunil Giri, Swarup Ghosh
Analysis Of An Seir Model With Non-Constant Population, Kylar Byrd, Tess Tracy, Sunil Giri, Swarup Ghosh
Student Research
Analysis of an SEIR model with Non-Constant Population
by Kylar Byrd and Tess Tracy, with Dr. Sunil Giri and Dr. Swarup Ghosh.
Mathematical modeling can be useful in helping us to understand disease dynamics. Epidemiological models consist of differential equations with variables and parameters defined to portray these dynamics. We will be presenting the mathematics involved in formulating and analyzing a model for a disease such as influenza. We will first explain a simple SIR model, and then we will introduce our model. We will be looking at an SEIR model that incorporates the use of an exposed class as …
Length Bias Estimation Of Small Businesses Lifetime, Simeng Li
Length Bias Estimation Of Small Businesses Lifetime, Simeng Li
Honors Theses
Small businesses, particularly restaurants, play a crucial role in the economy by generating employment opportunities, boosting tourism, and contributing to the local economy. However, accurately estimating their lifetimes can be challenging due to the presence of length bias, which occurs when the likelihood of sampling any particular restaurant's closure is influenced by its duration in operation. To address the issue, this study conducts goodness-of-fit tests on exponential/gamma family distributions and employs the Kaplan-Meier method to more accurately estimate the average lifetime of restaurants in Carytown. By providing insights into the challenges of estimating the lifetimes of small businesses, this study …
A Discrete Morse Approach For Computing Homotopy Types: An Exploration Of The Morse, Generalized Morse, Matching, And Independence Complexes, Connor Donovan
A Discrete Morse Approach For Computing Homotopy Types: An Exploration Of The Morse, Generalized Morse, Matching, And Independence Complexes, Connor Donovan
Mathematics Honors Papers
In this thesis, we study possible homotopy types of four families of simplicial complexes–the Morse complex, the generalized Morse complex, the matching complex, and the independence complex–using discrete Morse theory. Given a simplicial complex, K, we can construct its Morse complex from all possible discrete gradient vector fields on K. A similar construction will allow us to build the generalized Morse complex while considering edges and vertices will allow us to construct the matching complex and independence complex. In Chapter 3, we use the Cluster Lemma and the notion of star clusters to apply matchings to families of Morse, generalized …
Cranks For Partitions With Bounded Largest Part, Dennis Eichhorn, Brandt Kronholm, Acadia Larsen
Cranks For Partitions With Bounded Largest Part, Dennis Eichhorn, Brandt Kronholm, Acadia Larsen
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
For 80 years, Dyson’s rank has been known as the partition statistic that witnesses the first two of Ramanujan’s celebrated congruences for the ordinary partition function. In this paper, we show that Dyson’s rank actually witnesses families of partition congruences modulo every prime . This comes from an in-depth study of when a “multiplicity-based statistic” is a crank witnessing congruences for the function p ` n, m˘ , which enumerates partitions of n with parts of size at most m. We also show that as the modulus increases, there is an ever-growing collection of distinct multiplicity-based cranks witnessing these same …
Bridging The Chasm Between Fundamental, Momentum, And Quantitative Investing, Allen Hoskins, Jeff Reed, Robert Slater
Bridging The Chasm Between Fundamental, Momentum, And Quantitative Investing, Allen Hoskins, Jeff Reed, Robert Slater
SMU Data Science Review
A chasm exists between the active public equity investment management industry's fundamental, momentum, and quantitative styles. In this study, the researchers explore ways to bridge this gap by leveraging domain knowledge, fundamental analysis, momentum, crowdsourcing, and data science methods. This research also seeks to test the developed tools and strategies during the volatile time period of 2020 and 2021.
It Application Administrator Internship, Payton Simmons
It Application Administrator Internship, Payton Simmons
Research & Creative Achievement Day
This presentation is a focus on my internship with Fastenal as an IT Application Administrator. I'll talk about some of my daily tasks as well as the CMDB installation that will take place in the future. I am incredibly grateful to everyone who helped make this position possible because it gave me a wealth of knowledge that I will use in the near future.
A Statistical Comparison Of Hebrews To Accepted Pauline And Lukan Corpora, Benjamin Erickson
A Statistical Comparison Of Hebrews To Accepted Pauline And Lukan Corpora, Benjamin Erickson
Liberty University Research Week
Undergraduate
Applied
An Analysis Of Major League Baseball Sabermetrics, Zack O. Fuller
An Analysis Of Major League Baseball Sabermetrics, Zack O. Fuller
Research & Creative Achievement Day
With baseball becoming an increasingly competitive sport, professional baseball teams are looking to the statistical side of the sport to find ways to win more games. With my analysis, I studied baseball statistics to look for interesting patterns and relationships. For example, I investigated the effect of a trade on a player's performance (both batters and pitchers) and analyzed the relationship between a player's performance and salary. My analysis also determined the statistics teams should utilize to win more games. To effectively analyze these patterns and relationships, visualizations were made in Tableau, and linear models were fit with R. Overall, …
Mth 125 - Modeling With Exponential Functions, Stivi Manoku
Mth 125 - Modeling With Exponential Functions, Stivi Manoku
Open Educational Resources
The file includes a variety of problems that emphasize the importance of modeling exponential growth and/or radioactive decay. Through different exercises and problems, the assignment goal is to improve their comprehension of exponential functions and hone their problem-solving abilities.
Volume 14, Ireland Seagle, Dalton C. Whitby, Cassandra Poole, Rachel Cannon, Heidi Parker-Combes, Devon G. Shifflett, Antonio Harvey
Volume 14, Ireland Seagle, Dalton C. Whitby, Cassandra Poole, Rachel Cannon, Heidi Parker-Combes, Devon G. Shifflett, Antonio Harvey
Incite: The Journal of Undergraduate Scholarship
Table of Contents:
- Introduction: Dr. Amorette Barber
- From the Editor: Dr. Larissa "Kat" Tracy
- From the Designers: Rachel English, Rachel Hanson
- Hungry Like the Wolf: The Wolf as Metaphor in Paramount Network’s Yellowstone: Ireland Seagle
- “Floating Cities”: Illustrating the Commercial and Conservation Conflict of Alaskan Cruise Ship Tourism: Dalton C. Whitby
- What Can You Do When Your Genes are the Enemy? Current Applications of Gene Manipulation and the Associated Ethical Considerations: Cassandra Poole
- La doble cara: un tema romántico en las obras de Larra y Hawthorne: Rachel Cannon
- Resolving a Conflict: How to …
Nviz: Unraveling Neural Networks Through Visualization, Kevin Hoffman
Nviz: Unraveling Neural Networks Through Visualization, Kevin Hoffman
Mathematics and Computer Science Presentations
The growing utility of artificial intelligence (AI) is attributed to the development of neural networks. These networks are a class of models that make predictions based on previously observed data. While the inferential power of neural networks is great, the ability to explain their results is difficult because the underlying model is automatically generated. The AI community commonly refers to neural networks as black boxes because the patterns they learn from the data are not easily understood. This project aims to improve the visibility of patterns that neural networks identify in data. Through an interactive web application, NVIZ affords the …
Cie Text Analysis: Narrative Of The Life Of Frederick Douglass, The Declaration Of Independence, And The Declaration Of Sentiments, Arianna Knipe
Cie Text Analysis: Narrative Of The Life Of Frederick Douglass, The Declaration Of Independence, And The Declaration Of Sentiments, Arianna Knipe
Mathematics and Computer Science Presentations
Our STAT-451 class has worked with analyzing the words from CIE texts and assigning them to a sentiment or feeling and comparing them with one another using RStudio. This project analyzes texts from three sources: The Narrative of the Life of Frederick Douglass, The Declaration of Independence and the Declaration of Sentiments.
Translation Of: Sur Des Familles D’Hypersurfaces Isoparamétriques Des Espaces Sphériques À 5 Et À 9 Dimensions, Revista Univ. Tucuman, Serie A, 1 (1940), 5–22, By Elie Cartan, Thomas E. Cecil
Mathematics and Computer Science Department Faculty Scholarship
English title: On Families of Isoparametric Hypersurfaces in Spherical Spaces of 5 and 9 Dimensions
This is an English translation of the article "Sur des familles d'hypersurfaces isoparamétriques des espaces sphériques à 5 et à 9 dimensions" which was originally published in Revista Univ. Tucuman, Serie A, 1, pp. 5-22 (1940), by Élie Cartan.
A note from Thomas E. Cecil, translator: This is an unofficial translation of the original paper which was written in French. All references should be made to the original paper.
Mathematics Subject Classification Numbers: 53B25, 53C40, 53C42
The Mceliece Cryptosystem As A Solution To The Post-Quantum Cryptographic Problem, Isaac Hanna
The Mceliece Cryptosystem As A Solution To The Post-Quantum Cryptographic Problem, Isaac Hanna
Liberty University Research Week
Undergraduate
Theoretical Proposal
Mlb 2023 Season Attendance Predictions, Sophia Andersen, Anna Tollette, Hannah Clinton
Mlb 2023 Season Attendance Predictions, Sophia Andersen, Anna Tollette, Hannah Clinton
Research and Scholarship Symposium Posters
The goal of this project was to predict home game attendance for all 30 Major League Baseball (MLB) teams in their 2023 season. Researching and understanding that data as well as identifying influential factors of attendance were key factors before building a predictive model. Both the given material and data sets from MinneMUDAC, the competition organizer, was used as well as some outside sources. Finally, a predictive model was coded in Python which gave attendance predictions for every MLB game scheduled in 2023. From these results, insights could be offered to Major League Baseball or each team individually, to help …
Area Activity, Admin Stem For Success
Area Activity, Admin Stem For Success
STEM for Success Showcase
Lesson plan to teach students about area including an activity plan, activity description, activity video, and additional activity materials
El Final Report: Undergraduate Summer Research Internships, Sophie Wu
El Final Report: Undergraduate Summer Research Internships, Sophie Wu
SASAH 4th Year Capstone and Other Projects: Publications
In her final report, Sophie Wu discusses her two Undergraduate Summer Research Internships at Western University: the first in the Statistics and Actuarial Science department, concerning microinsurance, and the second, in the Mathematics department, concerning computational neuroscience.
Topological Data Analysis Of Weight Spaces In Convolutional Neural Networks, Adam Wagenknecht
Topological Data Analysis Of Weight Spaces In Convolutional Neural Networks, Adam Wagenknecht
Dissertations
Convolutional Neural Networks (CNNs) have become one of the most commonly used tools for performing image classification. Unfortunately, as with most machine learning algorithms, CNNs suffer from a lack of interpretability. CNNs are trained by using a training data set and a loss function to tune a set of parameters known as the layer weights. This tuning process is based on the classical method of gradient descent, but it relies on a strong stochastic component, which makes the weight behavior during training difficult to understand. However, since CNNs are governed largely by the weights that make up each of the …
Liouville Soliton Surfaces Obtained Using Darboux Transformations, S. C. Mancas, K. R. Acharya
Liouville Soliton Surfaces Obtained Using Darboux Transformations, S. C. Mancas, K. R. Acharya
Publications
We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian.
Identity Development And Empathy Among Pre-Health Students: A Longitudinal Study Employing Latent Class Analysis, Bergen Johnson, Gabe Deyoung, Matthew Stafford
Identity Development And Empathy Among Pre-Health Students: A Longitudinal Study Employing Latent Class Analysis, Bergen Johnson, Gabe Deyoung, Matthew Stafford
22nd Annual Celebration of Undergraduate Research and Creative Activity (2023)
Pre-health students endure rigorous education to prepare for treating patients, but potentially not for every aspect of patient care. Beyond medical knowledge, successful patient interactions often include moral decision making and the possession of traits such as empathy. There is little research on early physician and nurse development, with a substantial gap at the undergraduate level. This is significant as the trend toward a decrease in empathy could begin sooner. We explore this using latent class analysis to categorize participants based upon survey response patterns regarding numerous indicators, the most dominant class indicators being religion and political views.
Classification Of Land Cover On Sand Dunes, Heleyna Tucker, Micah Sterk
Classification Of Land Cover On Sand Dunes, Heleyna Tucker, Micah Sterk
22nd Annual Celebration of Undergraduate Research and Creative Activity (2023)
As members of the Hope College Coastal Research Group, we have studied the mechanisms for and effects of sand transport. In particular, we have worked to model vegetation coverage in West Michigan sand dune complexes in order to better understand how sand movement and resident vegetation affect one another. We use aerial drone imagery to develop machine learning algorithms for creating ground cover classification mappings in an automated way. Our team collected drone imagery ranging from high-resolution, low-altitude photographs to high-altitude stitched and rectified orthomosaics. We developed accurate ground cover classification methods for the low-altitude imagery and then explored ways …
Translation Of: Sur Quelque Familles Remarquables D’Hypersurfaces, C.R. Congrès Math. Liège, 1939, Pp. 30–41, By Élie Cartan., Thomas E. Cecil
Translation Of: Sur Quelque Familles Remarquables D’Hypersurfaces, C.R. Congrès Math. Liège, 1939, Pp. 30–41, By Élie Cartan., Thomas E. Cecil
Mathematics and Computer Science Department Faculty Scholarship
English title: On some remarkable families of hypersurfaces
This is an English translation of the article "Sur quelque familles remarquables d’hypersurfaces" which was originally published in C.R. Congrès Math. Liège, pp. 30–41 (1939), by Élie Cartan.
A note from Thomas E. Cecil, translator: This is an unofficial translation of the original paper which was written in French. All references should be made to the original paper.
Mathematics Subject Classification Numbers: 53B25, 53C40, 53C42
I-Optimal Or G-Optimal: Do We Have To Choose?, Stephen J. Walsh, Lu Lu, Christine M. Anderson-Cook
I-Optimal Or G-Optimal: Do We Have To Choose?, Stephen J. Walsh, Lu Lu, Christine M. Anderson-Cook
Mathematics and Statistics Faculty Publications
When optimizing an experimental design for good prediction performance based on an assumed second order response surface model, it is common to focus on a single optimality criterion, either G-optimality, for best worst-case prediction precision, or I-optimality, for best average prediction precision. In this article, we illustrate how using particle swarm optimization to construct a Pareto front of non-dominated designs that balance these two criteria yields some highly desirable results. In most scenarios, there are designs that simultaneously perform well for both criteria. Seeing alternative designs that vary how they balance the performance of G- and I …
Using Particle Swarm Optimization To Generate Optimal Experimental Designs With Replication Structures, Thomsen Bolton
Using Particle Swarm Optimization To Generate Optimal Experimental Designs With Replication Structures, Thomsen Bolton
Student Research Symposium
The modern dominant approach to planning experiments in industrial engineering and manufacturing is optimal design. This is a popular design paradigm because it 1) requires specification of an optimality criterion which incorporates practical objectives as definition of a design with high quality and 2) yields a design via high-dimensional optimization that gives the researcher ‘the most bang for the buck’ for a fixed sample/experimental run size. We aim to adapt the state-of-the-art meta-heuristic optimization algorithm, the Particle Swarm Optimization (PSO), to generating optimal designs with user-specified replication structure. Recently, PSO has been demonstrated to be highly effective at generating candidate …
Generating Optimal Space-Filling Designs With Particle Swarm Optimization, Rebekah Scott
Generating Optimal Space-Filling Designs With Particle Swarm Optimization, Rebekah Scott
Student Research Symposium
In 1935, Ronald Fisher published The Design of Experiments, establishing classical designs for various types of experiments. With the rise of computing power came optimal design, where statisticians can better customize designs according to the needs of the researchers running the experiment. This research focuses on generating optimal MaxMin space-filling designs with particle swarm optimization using various distance metrics (Manhattan, Euclidean, etc). Interestingly, changing the distance metric in the objective function had a minimal effect on the design, except for Aitchison geometry on the simplex. Space-filling designs are optimal for supporting high-order models with only a small sacrifice in prediction …
Optimal Control Problems For Stochastic Processes With Absorbing Regime, Yaacov Kopeliovich
Optimal Control Problems For Stochastic Processes With Absorbing Regime, Yaacov Kopeliovich
Journal of Stochastic Analysis
No abstract provided.
Bounds For The Augmented Zagreb Index, Ren Qingcuo, Li Wen, Suonan Renqian, Yang Chenxu
Bounds For The Augmented Zagreb Index, Ren Qingcuo, Li Wen, Suonan Renqian, Yang Chenxu
Theory and Applications of Graphs
The augmented Zagreb index (AZI for short) of a graph G, introduced by Furtula et al. in 2010, is defined as AZI(G)= Σ vivj ∈ E(G)} (d(vi)d(vj)} {d(vi)+d(vj)-2)3, where E(G) is the edge set of G, and d(vi) denotes the degree of the vertex vi. In this paper, we give some new bounds on general connected graphs, molecular trees and triangle-free graphs.
New Diagonal Graph Ramsey Numbers Of Unicyclic Graphs, Richard M. Low, Ardak Kapbasov
New Diagonal Graph Ramsey Numbers Of Unicyclic Graphs, Richard M. Low, Ardak Kapbasov
Theory and Applications of Graphs
Grossman conjectured that R(G, G) = 2 ⋅ |V(G)| - 1, for all simple connected unicyclic graphs G of odd girth and |V(G)| ≥ 4. In this note, we prove his conjecture for various classes of G containing a triangle. In addition, new diagonal graph Ramsey numbers are calculated for some classes of simple connected unicyclic graphs of even girth.
Ts-Reconfiguration Of K-Path Vertex Covers In Caterpillars For K \Geq 4, Duc A. Hoang
Ts-Reconfiguration Of K-Path Vertex Covers In Caterpillars For K \Geq 4, Duc A. Hoang
Theory and Applications of Graphs
A k-path vertex cover (k-PVC) of a graph G is a vertex subset I such that each path on k vertices in G contains at least one member of I. Imagine that a token is placed on each vertex of a k-PVC. Given two k-PVCs I, J of a graph G, thek-Path Vertex Cover Reconfiguration (k-PVCR)} under Token Sliding (TS) problem asks if there is a sequence of k-PVCs between I and J where each intermediate member is obtained from its predecessor by sliding a token from some …