Finite Involution Semigroups With Infinite Irredundant Bases Of Identities,
2016
Nova Southeastern University
Finite Involution Semigroups With Infinite Irredundant Bases Of Identities, Edmond W. H. Lee
Mathematics Faculty Articles
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basis for the algebra. The first known examples of finite involution semigroups with infinite irredundant bases are exhibited. These involution semigroups satisfy several counterintuitive properties: their semigroup reducts do not have irredundant bases, they share reducts with some other finitely based involution semigroups, and they are direct products of finitely based involution semigroups.
Identification Of Protein Palmitoylation Inhibitors From A Scaffold Ranking Library,
2016
University of South Florida
Identification Of Protein Palmitoylation Inhibitors From A Scaffold Ranking Library, Laura D. Hamel, Brian J. Lenhart, David A. Mitchell, Radleigh Santos, Marc A. Giulianotti, Robert J. Deschenes
Mathematics Faculty Articles
The addition of palmitoyl moieties to proteins regulates their membrane targeting, subcellular localization, and stability. Dysregulation of the enzymes which catalyzed the palmitoyl addition and/or the substrates of these enzymes have been linked to cancer, cardiovascular, and neurological disorders, implying these enzymes and substrates are valid targets for pharmaceutical intervention. However, current chemical modulators of zDHHC PAT enzymes lack specificity and affinity, underscoring the need for screening campaigns to identify new specific, high affinity modulators. This report describes a mixture based screening approach to identify inhibitors of Erf2 activity. Erf2 is the Saccharomyces cerevisiae PAT responsible for catalyzing the palmitoylation …
Undergraduate Research Fellowships: A Strategic Investment To Reduce Women Underrepresentation In The Mathematical Sciences,
2016
Morehead State University
Undergraduate Research Fellowships: A Strategic Investment To Reduce Women Underrepresentation In The Mathematical Sciences, Janie L. Knell, Wilson Gonzalez-Espada
Celebration of Student Scholarship Poster Sessions Archive
No abstract provided.
Representations Of The Extended Poincare Superalgebras In Four Dimensions,
2016
University of Texas at Arlington
Representations Of The Extended Poincare Superalgebras In Four Dimensions, John David Griffis
Mathematics Dissertations - Archive
Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating passages of this paper into more detailed and accessible papers and books. In 1975, R. Haag et al. investigated the possible extensions of the symmetries of relativistic quantum particles. They showed that the only consistent (super)symmetric extensions to the standard model of physics are obtained by using super charges to generate the odd part of a Lie superalgebra whos even part is generated by the Poincare group; this theory has become known …
A Bisection Method For The Banded Hyperbolic Quadratic Eigenvalue Problem,
2016
University of Texas at Arlington
A Bisection Method For The Banded Hyperbolic Quadratic Eigenvalue Problem, Ahmed T. Ali
Mathematics Dissertations - Archive
It is well-known that the eigenvalues of a Hermitian matrix in a given interval can be approximated within a predefined error tolerance using the bisection method as a direct application of the Sylvester's Law of Inertia. In this thesis, we will develop a bisection method for the hyperbolic quadratic eigenvalue problem (HQEP) which is guaranteed to have 2n real eigenvalues for a problem of size n. A number of numerical methods are available to solve HQEPs. Matlab's polyeig uses the QZ algorithm on the problem after linearizing it to a pencil of size 2n. Another approach is by finding a …
Stochastic Reliability Models For A General Server And Related Networks,
2016
University of Texas at Arlington
Stochastic Reliability Models For A General Server And Related Networks, Rachel Traylor
Mathematics Dissertations - Archive
There are many types of systems which can be dubbed servers, i.e. a retail checkout counter, a shipping company, a web server, or a customer service hotline. All of these systems have common general behavior: requests or customers arrive via a stochastic process, the service times vary randomly, and each request increases the stress on the server for some interval of time. A general stochastic model that describes the reliability of a server can provide the necessary informationfor optimal resource allocation and efficient task scheduling, leading to significant cost savings and improved performance metrics. In this work, we consider several …
On The Quantum Spaces Of Some Quadratic Regular Algebras Of Global Dimension Four,
2016
University of Texas at Arlington
On The Quantum Spaces Of Some Quadratic Regular Algebras Of Global Dimension Four, Richard Gene Chandler
Mathematics Dissertations - Archive
A quantum $\mathbb{P}^3$ is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well known that if a generic quadratic quantum $\mathbb{P}^3$ exists, then it has a point scheme consisting of exactly twenty distinct points and a one-dimensional line scheme. In this thesis, we compute the line scheme of a family of algebras whose generic member is a candidate for a generic quadratic quantum $\mathbb{P}^3$. We find that, as a closed subscheme of $\mathbb{P}^5$, the line scheme of the generic member is the …
A Cycle Generating Function On Finite Local Rings,
2016
Missouri State University
A Cycle Generating Function On Finite Local Rings, Tristen Kirk Wentling
Graduate Theses/Dissertations
We say a function generates a cycle if its output returns the initial value for some number of successive applications of . In this thesis, we develop a class of polynomial functions for finite local rings and associated functions . We show that the zeros of one are precisely the fixed points of the other and that every ring element is either one of these fixed points or is in a cycle of fixed length equal to the order of 2 in the associated group of units. Particular emphasis is given to rings of integers modulo the square of a …
A Geometric Approach To Ramanujan's Taxi Cab Problem And Other Diophantine Dilemmas,
2016
Missouri State University
A Geometric Approach To Ramanujan's Taxi Cab Problem And Other Diophantine Dilemmas, Zachary Kyle Easley
Graduate Theses/Dissertations
In 1917, the British mathematician G.H. Hardy visited the Indian mathematical genius Ramanujan in the hospital. The number of the taxicab Hardy arrived in was 1729. Ramanujan immediately recognized this as the smallest positive integer that can be expressed as the sum of two cubes in two essentially different ways. In this thesis, we use properties of conics and elliptic curves to investigate this problem, its generalization to fourth powers, and a Diophantine equation involving the distance of a point from the vertices of a regular tetrahedron (the latter extends work of Christina Bisges).
Tensor Products Of A Finite-Dimensional Representation And An Infinite-Dimensional Representation,
2016
University of Texas at Arlington
Tensor Products Of A Finite-Dimensional Representation And An Infinite-Dimensional Representation, Felicia Dewanaga
Mathematics Theses - Archive
In this project, we explicitly find the decomposition of the tensor product of a Verma module $Z(\lambda)$ and the standard module ${\mathbb C}^n$ of the Lie algebras $\mathfrak{sl}(n)$, $n=2,3$. The result provides an explicit description of the translation functor introduced by Bernstein and Gelfand.
Modeling Consequences Of Reduced Vaccination Levels On The Spread Of Measles,
2016
Bridgewater State University
Modeling Consequences Of Reduced Vaccination Levels On The Spread Of Measles, Guillermo Ortiz
Honors Program Theses and Projects
Introduction: In this thesis we propose a mathematical model for the spread of measles in a closed population. In section 1 we offer a motivation for the project, describe the measles virus as well as its history in the U.S., and provide a brief summary of three epidemiological models from the literature. In section 2.1 we introduce some probabilistic tools used in our model. Section 2.2.1 outlines our stochastic model used for the spread of measles in a population, which is refined in section 2.2.2 to include health interventions from the CDC. We conclude the thesis by presenting in section …
Data Driven Sample Generator Model With Application To Classification,
2016
University of New Mexico
Data Driven Sample Generator Model With Application To Classification, Alvaro Emilio Ulloa Cerna
Mathematics & Statistics ETDs
Despite the rapidly growing interest, progress in the study of relations between physiological abnormalities and mental disorders is hampered by complexity of the human brain and high costs of data collection. The complexity can be captured by machine learning approaches, but they still may require significant amounts of data. In this thesis, we seek to mitigate the latter challenge by developing a data driven sample generator model for the generation of synthetic realistic training data. Our method greatly improves generalization in classification of schizophrenia patients and healthy controls from their structural magnetic resonance images. A feed forward neural network trained …
Adjusted Empirical Likelihood Method For Comparison Of Treatment Effects In Linear Model Setting,
2016
Montclair State University
Adjusted Empirical Likelihood Method For Comparison Of Treatment Effects In Linear Model Setting, Xi Kang
Theses, Dissertations and Culminating Projects
Empirical likelihood is a nonparametric method of statistical inference which was introduced by Owen. It allows the data analyst to use it without making distribution assumptions. Empirical likelihood method has been widely used not only for nonparametric models but also for semi-parametric models, with the effectiveness of the likelihood approach and good power properties. However, when the sample size is small or the dimension is high, the method is poorly calibrated, producing tests that generally have a higher type I error. In addition, it suffers from a limiting convex hull constraint. Many statisticians have proposed methods to address the performance. …
A Physiologically-Based Pharmacokinetic Model For The Antibiotic Levofloxacin,
2016
East Tennessee State University
A Physiologically-Based Pharmacokinetic Model For The Antibiotic Levofloxacin, Paezha M. Mccartt
Undergraduate Honors Theses
Levofloxacin is in a class of antibiotics known as fluoroquinolones, which treat infections by killing the bacteria that cause them. A physiologically-based pharmacokinetic (PBPK) model was developed to investigate the uptake, distribution, and elimination of Levofloxacin after a single dose. PBPK modeling uses parameters such as body weight, blood flow rates, partition coefficients, organ volumes, and several other parameters in order to model the distribution of a particular drug throughout the body. Levofloxacin is only moderately bound in human blood plasma, and, thus, for the purposes of this paper, linear bonding is incorporated into the model because the free or …
The Eyes Have It: Eye Tracking Data Visualizations Of Viewing Patterns Of Statistical Graphics,
2016
Utah State University
The Eyes Have It: Eye Tracking Data Visualizations Of Viewing Patterns Of Statistical Graphics, Trent Fawcett
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
As statistical graphics continue to expand to manage an ever growing amount of diverse data, a need to evaluate the effectiveness of graphics, both basic and complex, has arisen. Technological advancements have given a means to evaluate the effectiveness of graphs and graphical components through eye tracking systems. Eye tracking systems are likewise in need of software that will enable easy evaluation and exploration of data. The focus of this Master's Report is to evaluate the dual solution. An exploration of an eye tracker setup is made, with extensive consideration of testing statistical graphics providing a basis for continued research …
New Flexible Regression Models Generated By Gamma Random Variables With Censored Data,
2016
Universidade Federal do Parana
New Flexible Regression Models Generated By Gamma Random Variables With Censored Data, Elizabeth M. Hashimoto, Gauss M. Cordeiro, Edwin M. M. Ortega, Gholamhossein G. Hamedani
Mathematics, Statistics and Computer Science Faculty Research and Publications
We propose and study a new log-gamma Weibull regression model. We obtain explicit expressions for the raw and incomplete moments, quantile and generating functions and mean deviations of the log-gamma Weibull distribution. We demonstrate that the new regression model can be applied to censored data since it represents a parametric family of models which includes as sub-models several widely-known regression models and therefore can be used more effectively in the analysis of survival data. We obtain the maximum likelihood estimates of the model parameters by considering censored data and evaluate local influence on the estimates of the parameters by taking …
Homological Properties Of Determinantal Arrangements,
2016
Purdue University
Homological Properties Of Determinantal Arrangements, Arnold H. Yim
Open Access Dissertations
We study a certain family of hypersurface arrangements known as determinantal arrangements. Determinantal arrangements are a union of varieties defined by minors of a matrix of indeterminates. In particular, we investigate determinantal arrangements using the 2-minors of a 2 × n generic matrix (which can be thought of as natural extensions of braid arrangements), and prove certain statements about their freeness. We also study the topology of these objects. We construct a fibration for the complement of free determinantal arrangements, and use this fibration to prove statements about their homotopy groups. Furthermore, we show that the Poincaré polynomial of the …
Computing The Optimal Path In Stochastic Dynamical Systems,
2016
Montclair State University
Computing The Optimal Path In Stochastic Dynamical Systems, Martha Bauver
Theses, Dissertations and Culminating Projects
In stochastic systems, one is often interested in finding the optimal path that maximizes the probability of escape from a metastable state or of switching between metastable states. Even for simple systems it may be impossible to find an analytic form of the optimal path, and in high-dimensional systems, this is almost always the case. The optimal path is of great importance, since it represents the most likely path of a rare switching or escape event. For instance, the optimal path for an infectious disease model represents a switching from an infectious state to the extinction of the disease within …
Numerical Detection Of Wave Breaking In The Short-Pulse Equation,
2016
Montclair State University
Numerical Detection Of Wave Breaking In The Short-Pulse Equation, Jeffrey Slepoi
Theses, Dissertations and Culminating Projects
Numerical analysis is a powerful resource in all mathematical sciences especially in the study of partial differential equations (PDEs). It allows evaluating and demonstrating derived solutions for PDEs and whenever the solution can’t be derived analytically it provides us with ability to calculate the solution function numerically and predict its behavior over time. This work presents a numerical method to evaluate an analytically known solution, demonstrates the needed parameters to achieve the desired accuracy, extends the methodology into the sphere of the mathematical unknown to be able to predict the results by using the same numerical methodology. The equation in …
On God's Number(S) And The Rubik's Slide Extension,
2016
Montclair State University
On God's Number(S) And The Rubik's Slide Extension, James F. Johnston Iii
Theses, Dissertations and Culminating Projects
In a recent article, Jones, Shelton and Weaverdyck and Aim, Gramelspacher, and Rice provided two analyses of the Rubik’s Slide game on a board of dimensions 3x3. This paper extends the work of Jones, Shelton, and Weaverdyck to a board of dimensions 4x4. Concepts from abstract algebra and graph theory are used to calculate the God’s number of many classes of puzzles, which is the least number of moves necessary to reach any end configuration from any starting configuration of game play. It turns out that God’s number is equivalent to the diameter of a graph of the group formed …
