Topological And Dynamic Properties Of The Sublinearly Morse Boundary And The Quasi-Redirecting Boundary.,
2024
Smith College
Topological And Dynamic Properties Of The Sublinearly Morse Boundary And The Quasi-Redirecting Boundary., Jacob D. Garcia, Yulan Qing, Elliott Vest
Mathematics Sciences: Faculty Publications
Sublinearly Morse boundaries of proper geodesic spaces are introduced by Qing, Rafi and Tiozzo. Expanding on this work, Qing and Rafi recently developed the quasi-redirecting boundary, denoted ∂G, to include all directions of metric spaces at infinity. Both boundaries are topological spaces that consist of equivalence classes of quasi-geodesic rays and are quasi-isometrically invariant. In this paper, we study these boundaries when the space is equipped with a geometric group action. In particular, we show that G acts minimally on ∂κG and that contracting elements of G induces a weak north-south dynamic on ∂κG. We also prove, when ∂G exists …
Computational Methods For Oi-Modules,
2024
University of Kentucky
Computational Methods For Oi-Modules, Michael Morrow
Theses and Dissertations--Mathematics
Computational commutative algebra has become an increasingly popular area of research. Central to the theory is the notion of a Gröbner basis, which may be thought of as a nonlinear generalization of Gaussian elimination. In 2019, Nagel and Römer introduced FI- and OI-modules over FI- and OI-algebras, which provide a framework for studying sequences of related modules defined over sequences of related polynomial rings. In particular, they laid the foundations of a theory of Gröbner bases for certain classes of OI-modules. In this dissertation we develop an OI-analog of Buchberger's algorithm in order to compute such Gröbner bases, as well …
Quotients Of The Curve Complex,
2024
CUNY College of Staten Island
Quotients Of The Curve Complex, Joseph Maher, Hidetoshi Masai, Saul Schleimer
Publications and Research
We consider three kinds of quotients of the curve complex, which are obtained by coning off uniformly quasiconvex subspaces: symmetric curve sets, non-maximal train track sets, and compression body disc sets. We show that the actions of the mapping class group on those quotients are strongly weakly properly discontinuously (WPD), which implies that the actions are non-elementary and those quotients are of infinite diameter.
Time-Efficient Filtering Of Imaging Polarimetric Data By Checking Physical Realizability Of Experimental Mueller Matrices,
2024
Florida International University
Time-Efficient Filtering Of Imaging Polarimetric Data By Checking Physical Realizability Of Experimental Mueller Matrices, Tatiana Novikova, Alexey Ovchinnikov, Gleb Pogudin, Jessica C. Ramella-Roman
Publications and Research
Motivation: Imaging Mueller polarimetry has already proved its potential for biomedicine, remote sensing, and metrology. The real-time applications of this modality require both video rate image acquisition and fast data post-processing algorithms. First, one must check the physical realizability of the experimental Mueller matrices in order to filter out non-physical data, i.e. to test the positive semi-definiteness of the 4 × 4 Hermitian coherency matrix calculated from the elements of corresponding Mueller matrix pixel-wise. For this purpose, we compared the execution time for the calculations of (i) eigenvalues, (ii) Cholesky decomposition, (iii) Sylvester’s criterion, and (iv) coefficients of the characteristic …
L∞ Bounds For Transient Growth In Repetitive And Iterative Learning Control Systems,
2024
Missouri University of Science and Technology
L∞ Bounds For Transient Growth In Repetitive And Iterative Learning Control Systems, Douglas A. Bristow, John R. Singler
Mechanical and Aerospace Engineering Faculty Research & Creative Works
This paper revisits the problem of large transient growth in Iterative Learning Control (ILC) and Repetitive Process Control (RPC) systems. In ILC and RPC problems a process is repeated iteratively, with new control calculations occurring in between each iteration. Large transient growth refers to the propensity of some control algorithms to grow error exponentially before eventually converging. While robust monotonic convergence algorithms (in which monotonic convergence is guaranteed usually in exchange for a small loss in performance) have largely eliminated the concern for large transient growth in ILC, similar results cannot always be obtained in RPC. The emergence of additive …
Problems In Chemical Graph Theory Related To The Merrifield-Simmons And Hosoya Topological Indices,
2024
Georgia Southern University
Problems In Chemical Graph Theory Related To The Merrifield-Simmons And Hosoya Topological Indices, William B. O'Reilly
College of Graduate Studies: Theses & Dissertations
In some sense, chemical graph theory applies graph theory to various physical sciences. This interdisciplinary field has significant applications to structure property relationships, as well as mathematical modeling. In particular, we focus on two important indices widely used in chemical graph theory, the Merrifield-Simmons index and Hosoya index. The Merrifield-Simmons index and the Hosoya index are two well-known topological indices used in mathematical chemistry for characterizing specific properties of chemical compounds. Substantial research has been done on the two indices in terms of enumerative problems and extremal questions. In this thesis, we survey known extremal results and consider the generalized …
Accessing And Assessing Components Of Elementary And Middle School Students’ Mathematical Disposition Through Metaphors,
2024
Illinois State University
Accessing And Assessing Components Of Elementary And Middle School Students’ Mathematical Disposition Through Metaphors, Emily Deal, Edward Mooney, Amanda Cullen, Neet Priya Bajwa, Allison M. Kroesch, Julien Corven, Beth Macdonald
Faculty Publications – Mathematics
This study examined student-generated metaphors comparing food to math as a means of accessing and assessing components of prekindergarten through Grade 8 students’ (N = 306) mathematical disposition. Previous research provided insight into predominantly affective components of older students’ mathematical disposition (i.e. Grade 4 through college). However, we extend these findings to include nonaffective components and younger students. Our study highlights the value in conceptualizing mathematical disposition as the sum of three mental functions, namely cognitive (e.g., mental processes such as reasoning), affective (e.g., attitudes, feelings, beliefs about mathematics or oneself as a learner), and conative (e.g., effort, grit, …
First-Order Geometric Integer-Valued Autoregressive Model With Covariates,
2024
Faculty of Science
First-Order Geometric Integer-Valued Autoregressive Model With Covariates, Adisak Seedamad
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we propose two integer-valued time series consisting of (1) the single parameter first-order geometric integer-valued autoregressive (SGINAR(1)) model with covariates and (2) the first-order geometric integer-valued autoregressive GINAR(1) model with covariates. In our study, we obtain the innovation distribution using stationary properties and obtain moment properties of two models. In addition, we obtain parameter estimation by using the conditional least squares (CLS) method and the penalized conditional least squares (PCLS) method. Finally, we conduct simulation studies and apply to real data.
Developing Machine Learning And Time-Series Analysis Methods With Applications In Diverse Fields,
2024
Virginia Commonwealth University
Developing Machine Learning And Time-Series Analysis Methods With Applications In Diverse Fields, Muhammed Aljifri
Theses and Dissertations
This dissertation introduces methodologies that combine machine learning models with time-series analysis to tackle data analysis challenges in varied fields. The first study enhances the traditional cumulative sum control charts with machine learning models to leverage their predictive power for better detection of process shifts, applying this advanced control chart to monitor hospital readmission rates. The second project develops multi-layer models for predicting chemical concentrations from ultraviolet-visible spectroscopy data, specifically addressing the challenge of analyzing chemicals with a wide range of concentrations. The third study presents a new method for detecting multiple changepoints in autocorrelated ordinal time series, using the …
Integrating Contradictory Perspectives In Latin American Philosophy: A Multialism Approach,
2024
University of New Mexico
Integrating Contradictory Perspectives In Latin American Philosophy: A Multialism Approach, Maikel Yelandi Leyva Vázquez, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This study explores the integration of indigenous philosophies and postcolonial modernist theories within the framework of MultiAlism, highlighting the potential for dialogue and synthesis between these diverse philosophical traditions in Latin America. MultiAlism, a concept developed by Florentin Smarandache, is utilized to bridge the gaps and contradictions between these systems by focusing on areas of neutrality such as cultural diversity and power structure critiques. The research emphasizes the importance of incorporating both ancestral wisdom and modern critiques to foster a deeper understanding and appreciation of Latin America’s rich philosophical heritage. This integrative approach offers practical insights for developing inclusive policies …
Fundamental Computational Problems And Algorithms For Superhypergraphs,
2024
University of New Mexico
Fundamental Computational Problems And Algorithms For Superhypergraphs, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Hypergraphs extend traditional graphs by allowing edges (known as hyperedges) to connect more than two vertices, rather than just pairs. This paper explores fundamental problems and algorithms in the context of SuperHypergraphs, an advanced extension of hypergraphs enabling modeling of hierarchical and complex relationships. Topics covered include constructing SuperHyperGraphs, recognizing SuperHyperTrees, and computing SuperHyperTree-width. We address a range of optimization problems, such as the SuperHy-pergraph Partition Problem, Reachability, Minimum Spanning SuperHypertree, and Single-Source Shortest Path. Furthermore, adaptations of classical problems like the Traveling Salesman Problem, Chinese Postman Problem, and Longest Simple Path Problem are presented in the SuperHypergraph framework.
A Review At Two Nuclear Reactor Problems In Asia,
2024
University of New Mexico
A Review At Two Nuclear Reactor Problems In Asia, Victor Christianto, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The development of nuclear power plants (NPP) is often a heated debate, especially in developing countries [1]. In relation to this, it is worth the public's attention that lately, it seems that there have been increasingly frequent press releases from various parties representing the government regarding plans to build the first nuclear fission reactor in Indonesia in the not too distant future. Reportedly there will be a large amount of additional energy supply planned (around 100 GW to be built in Indonesia within the coming decade). For this reason, the authors would like to invite readers to take a moment …
Rado Numbers For Two Systems Of Linear Equations,
2024
South Dakota State University
Rado Numbers For Two Systems Of Linear Equations, Anthony Glackin
Electronic Theses and Dissertations
For any positive integer n and any equation E of either the form x1+x2+· · ·+xn = x0 or x1 + x2 + n = x0, the two-color Rado number R2(E) is the least integer such that any 2-coloring of the natural numbers 1 through R2(E) will contain a monochromatic solution to E. Let Ek be a system of k equations of the aforementioned form, where Ei represents the ith equation in Ek and the set I = {1, 2, . . . , k} is the set of indices of these equations. This thesis shows that the two-color Rado …
Principal Component Analysis With Application To Credit Card Data,
2024
South Dakota State University
Principal Component Analysis With Application To Credit Card Data, Elenor Cain
Schultz-Werth Award Papers
Principal Component Analysis (PCA) is a type of dimension reduction technique used in data analysis to process the data before making a model. In general, dimension reduction allows analysts to make conclusions about large data sets by reducing the number of variables while retaining as much information as possible. Using the numerical variables from a data set, PCA aims to compute a smaller set of uncorrelated variables, called principal components, that account for a majority of the variability from the data. The purpose of this paper is to understand PCA and determine which principal components should be kept from a …
College Algebra,
2024
Arkansas Tech University
College Algebra, Leslie Bain
ATU Faculty OER Book Reviews
Review of OER College Algebra textbook by Carl Stitz, available at https://open.umn.edu/opentextbooks/textbooks/college-algebra
Instances Of Undecidability In The Semigroup Word Problem,
2024
University of New Hampshire
Instances Of Undecidability In The Semigroup Word Problem, Timothy C. Grosky
Honors Theses and Capstones
We will examine the decidability of the word problem in semigroups, which is a yes/no question. We will examine tools that have been developed to help answer it, and then look at some examples where the word problem is decidable or undecidable.
Survey Of Planar And Outerplanar Graphs In Fuzzy And Neutrosophic Graphs,
2024
University of New Mexico
Survey Of Planar And Outerplanar Graphs In Fuzzy And Neutrosophic Graphs, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
As many readers may know, graph theory is a fundamental branch of mathematics that explores networks made up of nodes and edges, focusing on their paths, structures, and properties [196]. A planar graph is one that can be drawn on a plane without any edges intersecting, ensuring planarity. Outerplanar graphs, a subset of planar graphs, have all their vertices located on the boundary of the outer face in their planar embedding. In recent years, outerplanar graphs have been formally defined within the context of fuzzy graphs. To capture uncertain parameters and concepts, various graphs such as fuzzy, neutrosophic, Turiyam, and …
Signatures Of Time Interval Reproduction In The Human Electroencephalogram (Eeg),
2024
Trinity College Dublin
Signatures Of Time Interval Reproduction In The Human Electroencephalogram (Eeg), Harvey Mccone, John. S. Butler, Redmond. G. O'Connell
Articles
No abstract provided.
The Independence Polynomial Of A Graph At −1,
2024
Montclair State University
The Independence Polynomial Of A Graph At −1, Phoebe Rose Zielonka
Theses, Dissertations and Culminating Projects
No abstract provided.
Implementation Of 1/2-Approximation Path Cover Algorithm And Its Empirical Analysis,
2024
Loyola Marymount University
Implementation Of 1/2-Approximation Path Cover Algorithm And Its Empirical Analysis, Junyuan Lin, Guangpen Ren
Mathematics, Statistics and Data Science Faculty Works
In this paper, we demonstrate a deterministic algorithm that approximates the optimal path cover on various graphs and networks derived from a wide range of real world problems. Based on the 1-Approximation Path Cover Algorithm by Moran et al., we first organize the original algorithm into two versions - one with redundant edge removal and one without. To compare the two versions of algorithms, we prove the number of redundant edges for any general graphs to analyze the effects of edge removal. We also analyze theoretical guarantees of the two algorithms. To test the time complexity and performance, we conduct …
