Browsing Department of Mathematics by Title
Now showing items 6-25 of 570
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A NOVEL SUPERVISED DIMENSIONALITY REDUCTION METHOD: INTEGRATING PCA WITH SVM
(2021-07-06)Data curation and storage methods have changed over the past few decades with the use of new technologies, and gathering data on a huge number of features (dimensions) is now very common among diverse scientific and ... -
A SNAPSHOT OF THE ALIGNMENT OF UNIVERSITY STUDENTS’ MATHEMATICAL PROBLEM SOLVING PRACTICES TO A LIKERT SCALE ASSESSMENT OF MATHEMATICAL PROBLEM SOLVING
(2017-05-22)This study investigates the alignment of students' actual problem-solving practices and compares them to the outcomes on a Likert scale mathematical problem solving (MPS) assessment. The Likert scale survey items developed ... -
A STUDY IN THE FREENESS OF FINITELY GENERATED Anp-MODULES UPON RESTRICTION TO PRINCIPAL SUBALGEBRAS
(2023-05-11)We are interested in quantitative information on the freeness of modules over a truncated polynomial ring when restricting to subalgebras generated by a linear form. After investigating the structure of the truncated ... -
A Study on Approximations of Totally Acyclic Complexes
(2021-08-23)Let $R$ be a commutative local ring to which we associate the subcategory $\Ktac(R)$ of the homotopy category of $R$-complexes, consisting of totally acyclic complexes. Further suppose there exists a surjection of Gorenstein ... -
A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT
(2017-08-28)The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ... -
A study on the rotational b-family of equations
(2018-04-30)In this thesis, we study a mathematical model of long-crested water waves propagating in one direction with the effect of Earth's rotation near the equator by following the formal asymptotic procedures. Firstly, we derive ... -
A study on traveling wave solutions in the shallow-water-type system
(2017-08-08)The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ... -
Abrading the enigma of the wound healing process: Modeling the inflammation, proliferation, and maturation stage
(2022-08-17)Wound healing encompasses a group of processes categorized into overlapping stages known as the inflammation, proliferation, and maturation/remodeling stage. The dynamics of these processes are important in studying outcomes ... -
Absolute Minimization by Supercomputer Computation
(University of Texas at ArlingtonDepartment of Mathematics, 1987)**Please note that the full text is embargoed** ABSTRACT: Numerical methodology is developed for approximating the absolute minimum of a function or a functional. Only simplistic numerical techniques are introduced and ... -
ACADEMIC INTEGRATION AND SELF-REGULATION STRATEGIES IN PRECALCULUS AND CALCULUS I
(2022-08-15)This case study examines the self-regulation strategies and academic integration of first-semester undergraduate students enrolled in precalculus and first-semester calculus at a large urban university in the southwestern ... -
Accurate Quasi-Quantum Mechanical Numerical Methodology
(University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1990-10)**Please note that the full text is embargoed** ABSTRACT: A quasi-quantum mechanical method in which energy is determined by quantum mechanics and motion by Newtonian mechanics is studied by combining it with numerical ... -
Adaptive Nonparametric Distribution-free Procedures In Factorial Data Analysis
(Mathematics, 2010-03-03)Many statisticians have questioned the basic assumptions about underlying models which might dominate the analysis of the data in many cases. The assumption of normality without much thought is of concern to a growing group ... -
Advancements And Applications Of Nonstandard Finite Difference Methods
A class of dynamically consistent numerical methods are analyzed for general n-dimensional productive-destructive systems (PDS). Using this analysis, a methodology for constructing positive and elementary stable nonstandard ... -
Agent-based mathematical modeling as a tool for estimating T. cruzi vector-host contact rates
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2015-11)**Please note that the full text is embargoed** ABSTRACT: The parasite Trypanosoma cruzi, spread by triatomine vectors, affects over 100 mammalian species throughout the Americas, including humans, in whom it causes Chagas’ ... -
An Algorithm for Finding the Generalized Nucleolus of a Finite Set and the Multiobjective Discrete Programming Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-03)**Please note that the full text is embargoed** -
Allocations to Discriminated Players in Discriminatory Von Neumann-Morgenstern Solutions
(University of Texas at ArlingtonDepartment of Mathematics, 1991-08)**Please note that the full text is embargoed** ABSTRACT: Von Neumann-Morgenstern solutions (stable sets) for cooperative sidepayment games are notoriously difficult to find. This paper provides guidelines on how to find ... -
Alternative transmission modes for Trypanosoma cruzi
(American Institute of Mathematical SciencesMathematics Department, University of Texas at ArlingtonMathematical and Computational Modeling Sciences Center, Arizona State University, 2010-07)The parasite Trypanosoma cruzi, which causes Chagas’ disease, is typically transmitted through a cycle in which vectors become infected through bloodmeals on infected hosts and then infect other hosts through defecation at ... -
Am I too fat? Bulimia as an epidemic
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2003)For at least the past ten years, eating disorders have had a major impact in the physical and mental health of women, particularly young women. Anorexia and bulimia nervosa are closely linked eating disorders. Anorexia ... -
Analysis And Simulation In Neuron And Fibrosis Models
(Mathematics, 2009-09-16)In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ... -
An Analysis of Stress Wave Propagation in Slender Bars Using a Discrete Particle Approach
(University of Texas at ArlingtonDepartment of Mathematics, 1980-12)**Please note that the full text is embargoed** ABSTRACT: In this paper, a discrete particle approach is developed for the quantitative analysis of stress wave propagation in metal bars. Though linear forces are emphasized, ...