Experiencing Tensions Of Nepantla With Inner-Departmental Change Groups,
2024
Loyola Marymount University
Experiencing Tensions Of Nepantla With Inner-Departmental Change Groups, Rachel Tremaine, Jess Ellis Hagman, Matthew Voigt, Amy Been Bennett, Fanatasi Nicole, Margaret Ann Bolick, Leilani Pai, Nancy Kress, Kelsey Quaisley, Rachel Funk, Patricia Wonch Hill, Wendy M. Smith
Mathematics, Statistics and Data Science Faculty Works
This study explores the experiences of three Networked Improvement Communities (NICs) within mathematics departments as they work to critically transform their introductory mathematics programs. Drawing on the framework of dominant and critical axes of equity, we identify three key tensions experienced by the NICs: identity neutrality versus identity centrality, power over versus power with, and students as novices versus students as experts. These tensions are framed as productive enactments of working to change systems from within, highlighting the challenges and opportunities inherent in navigating the liminal space of nepantla. We argue that engaging with these tensions is crucial for fostering …
Effect Of Fluid Elasticity On The Emergence Of Oscillations In An Active Elastic Filament,
2024
University of California, Davis
Effect Of Fluid Elasticity On The Emergence Of Oscillations In An Active Elastic Filament, Kathryn G. Link, Robert D. Guy, Becca Thomases, Paulo E. Arratia
Mathematics Sciences: Faculty Publications
Many microorganisms propel themselves through complex media by deforming their flagella. The beat is thought to emerge from interactions between forces of the surrounding fluid, the passive elastic response from deformations of the flagellum and active forces from internal molecular motors. The beat varies in response to changes in the fluid rheology, including elasticity, but there are limited data on how systematic changes in elasticity alter the beat. This work analyses a related problem with fixed-strength driving force: the emergence of beating of an elastic planar filament driven by a follower force at the tip of a viscoelastic fluid. This …
A Note On Three-Fold Branched Covers Of S4,
2024
Smith College
A Note On Three-Fold Branched Covers Of S4, Ryan Blair, Patricia Cahn, Alexandra Kjuchukova, Jeffrey Meier
Mathematics Sciences: Faculty Publications
We show that any 4-manifold admitting a (g;k1,k2,0)-trisection is an irregular 3-fold cover of the 4-sphere whose branching set is a surface in S4, smoothly embedded except for one singular point which is the cone on a link. A 4-manifold admits such a trisection if and only if it has a handle decomposition with no 1-handles; it is conjectured that all simply-connected 4-manifolds have this property.
Nonequational Stable Groups,
2024
The American University in Cairo
Nonequational Stable Groups, Isabel Müller, Rizos Sklinos
Faculty Journal Articles
We introduce a combinatorial criterion for verifying whether a formula is not the conjunction of an equation and a co-equation. Using this, we give a proof for the nonequationality of the free group. Furthermore, we generalize the latter result to the first-order theory of any free product of groups of the form G * Fω.
Σ-Ary,
2024
Minnesota State University Moorhead
Σ-Ary, Minnesota State University Moorhead, Mathematics Department
Math Department Newsletters
No abstract provided.
Counting Conjugates Of Colored Compositions,
2024
Georgia Southern University
Counting Conjugates Of Colored Compositions, Jesus Omar Sistos Barron
Honors College Theses
The properties of n-color compositions have been studied parallel to those of regular compositions. The conjugate of a composition as defined by MacMahon, however, does not translate well to n-color compositions, and there is currently no established analogous concept. We propose a conjugation rule for cyclic n-color compositions. We also count the number of self-conjugates under these rules and establish a couple of connections between these and regular compositions.
Zeckendorf Representation Analysis On Third Order Fibonacci Sequences That Do Not Satisfy The Uniqueness Property,
2024
Georgia Southern University
Zeckendorf Representation Analysis On Third Order Fibonacci Sequences That Do Not Satisfy The Uniqueness Property, Samuel A. Aguilar
Honors College Theses
Zeckendorf's Theorem states that every natural number can be expressed uniquely as the sum of distinct non-consecutive terms of the shifted Fibonacci sequence (i.e. 1, 2, 3, 5, ...). This theorem has motivated the study of representation of integers by the sum of non-adjacent terms of Nth order Fibonacci sequences, including the characterization of the uniqueness of Zeckendorf representation based on the initial terms of the sequence. Moreover, when this uniqueness property is satisfied for third order Fibonacci sequences, the ratio of integers less than a given number X that have a Zeckendorf representation has been estimated by Dr. Sungkon …
Enumeration Of Increasing Trees,
2024
Georgia Southern University
Enumeration Of Increasing Trees, Garrett M. Southwood
Honors College Theses
We consider the generating function for increasingly labelled trees. By generalizing the proof through symbolic method, we are able to study various statistics regarding binary increasing trees with respect to height restrictions. We then apply our approach to special colorings of increasing trees in order to obtain their generating functions and, from there, derive the counting sequence for (ak+a)-colored recursive trees. We also present some interesting bijections between colored and non-colored increasing trees.
Machine Learning Approaches For Cyberbullying Detection,
2024
University of Central Florida
Machine Learning Approaches For Cyberbullying Detection, Roland Fiagbe
Data Science and Data Mining
Cyberbullying refers to the act of bullying using electronic means and the internet. In recent years, this act has been identifed to be a major problem among young people and even adults. It can negatively impact one’s emotions and lead to adverse outcomes like depression, anxiety, harassment, and suicide, among others. This has led to the need to employ machine learning techniques to automatically detect cyberbullying and prevent them on various social media platforms. In this study, we want to analyze the combination of some Natural Language Processing (NLP) algorithms (such as Bag-of-Words and TFIDF) with some popular machine learning …
Rupert Property Of Some Solids In Higher Dimensions,
2024
Faculty of Science
Rupert Property Of Some Solids In Higher Dimensions, Pongbunthit Tonpho
Chulalongkorn University Theses and Dissertations (Chula ETD)
We say that a solidS has the Rupert property if a hole could be cut into one copy of S so that another copy of S can be passed through this hole. In recent years, many solids in R$ have been shown to have the Rupert property. However, not much is known about the Rupert property in higher dimensions. This dissertation investigates the Rupert property for some solids in R". We introduce lemmas that help to verify this property. In particular, we prove that some particular n-simplices, the generalized n-octahedrons/and the two-way cones in In have the Rupert property.
Splitness Of The Characteristic Polynomial Of 2×2 Normal Matrices Over A Finite Field,
2024
Faculty of Science
Splitness Of The Characteristic Polynomial Of 2×2 Normal Matrices Over A Finite Field, Sarawut Therdchanthuk
Chulalongkorn University Theses and Dissertations (Chula ETD)
เราได้ทฤษฎีบทสเปกตรัมสำหรับเมทริกซ์ขนาด 2x2 เหนือฟีลด์จำกัดที่มีลักษณะเฉพาะเท่ากับ 2 โดยการตรวจสอบการแตกตัวของพหุนามลักษณะเฉพาะเหนือฟีลด์ดังกล่าว ซึ่งใช้ข้อเท็จจริงเสริมบางประการเกี่ยวกับพหุนามกำลังสองและเมทริกซ์เหนือฟีลด์ดังกล่าว พหุนามลักษณะเฉพาะจะสะท้อนให้เห็นถึงรูปแบบบัญญัติของเมทริกซ์เหล่านี้ เป็นผลให้สามารถแยกชั้นความคล้ายของเมทริกซ์ปรกติได้ และสำหรับเมทริกซ์ปรกติที่แปลงเป็นทแยงมุมได้ เราให้ข้อความที่สมมูลกับการทำให้เป็นเมทริกซ์ที่แปลงเป็นทแยงมุมแบบยูนิแทรีได้
Developing Test Statistics For Familial Dna Searches Through Multinomial Logistic Regression Model,
2024
Faculty of Science
Developing Test Statistics For Familial Dna Searches Through Multinomial Logistic Regression Model, Akaraphon Jantaraphum
Chulalongkorn University Theses and Dissertations (Chula ETD)
In hypothesis testing for familial DNA searches, the likelihood ratio (LR) is a commonly used statistic that requires allele frequency distributions. However, since the population background of a forensic sample is generally unknown, the appropriate allele frequency distribution is uncertain. To address this issue, various LR-based methods—such as those using local allele frequencies (LRLAF), or selecting maximum, minimum, or average LRs (LRMAX, LRMIN, LRAVG), and Naive Bayes classification (LRNB)—have been developed. In this study, we introduce a family of LR-based statistics incorporating multinomial logistic regression classification (LRMLR). DNA samples are classified into subpopulations using multinomial logistic regression, and the likelihood …
Two-Step-Change Pivot Rule For Simplex Method,
2024
Faculty of Science
Two-Step-Change Pivot Rule For Simplex Method, Rawit Chaiareekij
Chulalongkorn University Theses and Dissertations (Chula ETD)
The simplex method is a fundamental method for solving linear programming problems proposed by George B. Dantzig in 1963. The simplex method’s efficiency hinges on the choice of the entering variable, determined by the pivot rule. Dantzig’s original pivot rule, while effective in many cases, can exhibit exponential behavior on certain problems. To address this problem, this thesis proposes a new pivot rule for the simplex method, called the two-step-change pivot rule. The idea is to obtain the two-step-change improvement from the objective value by computing the direction of change for each entering variable to determine the cost per unit. …
Key Factor Analysis For Base Patterns In Minibridge By Reinforcement Learning,
2024
Faculty of Science
Key Factor Analysis For Base Patterns In Minibridge By Reinforcement Learning, Thanathat Dechakulkamjorn
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Specifying The Desired Attributes Of Solutions To Vehicle Routing Problems With Time Windows Using Machine Learning,
2024
Faculty of Science
Specifying The Desired Attributes Of Solutions To Vehicle Routing Problems With Time Windows Using Machine Learning, Teerapong Chaochanglek
Chulalongkorn University Theses and Dissertations (Chula ETD)
A vehicle routing problem with time windows (VRPTW) has been studied widely in the literature. Most effective methods to find a solution are still heuristics, which are constructed from the inventor’s ideas of how a good solution should be obtained, and their efficiency is quantified only by empirical data. However, these ideas may or may not yield a near-optimal solution. It would be better if we can identify some characteristics of a solution to VRPTW to help guide the heuristic in the right direction. Arnold and Sörensen had proposed a statistical learning model to determine a characteristic of a near-optimal …
Closed-Form Formulas For Conditional Moments Of Stochastic Volatility Markovswitching Model And Applications,
2024
Faculty of Science
Closed-Form Formulas For Conditional Moments Of Stochastic Volatility Markovswitching Model And Applications, Supavit Kiatteerarat
Chulalongkorn University Theses and Dissertations (Chula ETD)
In the present day, the regime-switching model plays a crucial role in the financial world. This thesis studies a stochastic volatility model with regime switching, specifically examining a Markovian regime-switching process known as Cox-Ingersoll-Ross. Analytical formulas for the conditional moment generation function of the process are developed, presenting both a linearly closed-form and an exponentially closed-form. The formulas are derived by solving a partial differential equation (PDE) that obtains the Feynman-Kac Theorem. We also present the relationship between these two closed-forms, demonstrated by using the formula by Faà Bruno. Additionally, a numerical validation, the Monte Carlo method, is employed to …
Hyperparameter Estimation For Sparse Bayesian Learning Models,
2024
University of Minnesota
Hyperparameter Estimation For Sparse Bayesian Learning Models, Feng Yu, Lixin Shen, Guohui Song
Mathematics & Statistics Faculty Publications
Sparse Bayesian learning (SBL) models are extensively used in signal processing and machine learning for promoting sparsity through hierarchical priors. The hyperparameters in SBL models are crucial for the model’s performance, but they are often difficult to estimate due to the nonconvexity and the high-dimensionality of the associated objective function. This paper presents a comprehensive framework for hyperparameter estimation in SBL models, encompassing well-known algorithms such as the expectation-maximization, MacKay, and convex bounding algorithms. These algorithms are cohesively interpreted within an alternating minimization and linearization (AML) paradigm, distinguished by their unique linearized surrogate functions. Additionally, a novel algorithm within the …
Pigeon Strike!: Solutions For Fermi Questions, October 2024,
2024
Old Dominion University
Pigeon Strike!: Solutions For Fermi Questions, October 2024, John Adam
Mathematics & Statistics Faculty Publications
This article, titled "Pigeon strike!: Solutions for Fermi Questions, October 2024," discusses the estimation of various physics-related questions regarding a pigeon striking a window. The author estimates the momentum and kinetic energy of the bird prior to hitting the window, as well as the force, pressure, and wingspan of the bird during impact. The author assumes an inelastic collision between the bird and the window, and provides calculations and explanations for their estimations. The article concludes with the author's observation that the estimated wingspan aligns with that of an adult pigeon.
The Weighty Words Of Lord Rayleigh: Solutions For Fermi Questions, January 2024,
2024
Old Dominion University
The Weighty Words Of Lord Rayleigh: Solutions For Fermi Questions, January 2024, John Adam
Mathematics & Statistics Faculty Publications
No abstract provided.
Enhancing Set-Theoretic Research Methods With Neutrosophic Sets,
2024
University of New Mexico
Enhancing Set-Theoretic Research Methods With Neutrosophic Sets, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This study employed the integration of neutrosophic set theory with set-theoretic methods and Qualitative Comparative Analysis (QCA) to examine intricate social phenomena. Participants' opinions and attitudes were captured using neutrosophic Likert scales, which reflected elements of truth, indeterminacy, and falsity. This proposal is illustrated in a case study facilitated a more comprehensive and subtle examination, emphasizing the significance of variables such as motivation, instructional excellence, and educational resources in achieving academic accomplishment. The results of the necessary condition analysis and set coincidence analysis indicated that motivation and teaching quality have the highest individual impact. Nevertheless, the convergence of scholarly resources, …
