Polynomials, Primes And The Pte Problem,
2021
University of South Carolina
Polynomials, Primes And The Pte Problem, Joseph C. Foster
Theses and Dissertations
This dissertation considers three different topics. In the first part of the dissertation, we use Newton Polygons to show that for the arithmetic functions g(n) = n t , where t ≥ 1 is an integer, the polynomials defined with initial condition P g 0 (X) = 1 and recursion P g n (X) = X n Xn k=1 g(k)P g n−k (X) are X/ (n!) times an irreducible polynomial. In the second part of the dissertation, we show that, for 3 ≤ n ≤ 8, there are infinitely many 2-adic integer solutions to the Prouhet-Tarry-Escott (PTE) problem, that are …
Simulation Of Pituitary Organogenesis In Two Dimensions,
2021
University of South Carolina
Simulation Of Pituitary Organogenesis In Two Dimensions, Chace E. Covington
Theses and Dissertations
The pituitary gland is a vital part of the endocrine system found in all vertebrates and is responsible for the production of hormones that influence many physiological processes in the organism’s body. Although much has been learned of pituitary organogenesis, studying the dynamics of the cells in the developing pituitary gland is difficult. Pituitary organogenesis has been studied through “snapshots” of a developing pituitary gland by removing and viewing the pituitary glands of different specimens. Thus, how the individual cells in the developing pituitary gland behave and interact with one another is not fully understood. To aid in understanding pituitary …
Computable Model Theory On Loops,
2021
Northern Michigan University
Computable Model Theory On Loops, Josiah Schmidt
All NMU Master's Theses
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops and groups. We start by defining a loop and group, then give some of their properties. We then give an overview of comptability theory, and apply it to loops and groups. We conclude by showing that a finitely presented residually finite algebra has a solvable word problem.
Enacting Systemic Change: The Evolving Landscape Of Computer Science Education In The State Of Wisconsin,
2021
Marquette University
Enacting Systemic Change: The Evolving Landscape Of Computer Science Education In The State Of Wisconsin, Heather Bort
Dissertations (1934 -)
Over the last decade, the Systems Lab at Marquette University has undertaken a grand challenge to positively impact learners and educators in the state of Wisconsin with computer science education innovation. We have moved through a progression in maturity around recognizing the need for and implementing a propagation plan to achieve this desired outcome. This work showcases several novel innovations with increasing overall effectiveness in creating a more diverse community of computer science educators and learners in the state. We demonstrate a pattern of increased engagement, sustainable change, and measurable impact, that has resulted in a more accessible and inclusive …
Sepsis Monitoring Using Contextually-Tailored Online Change Point Detection And Beyond,
2021
Marquette University
Sepsis Monitoring Using Contextually-Tailored Online Change Point Detection And Beyond, Nazmus Sakib
Dissertations (1934 -)
Considering morbidity, mortality, and annual treatment costs, the dramatic rise in the incidence of sepsis and septic shock among intensive care unit (ICU) admissions in US hospitals is an increasing concern. The recent excruciating statistics regarding sepsis mortality, the average length of hospital stay, and annual treatment costs made sepsis treatment and research a critical domain in medical informatics. The aims of this dissertation center around four research questions. First, we discuss how we can investigate the prevalence and underlying relation of the sepsis diagnosis criteria (qSOFA and SIRS) and its implications in Medical Informatics and predictive analytics. Second, we …
Finite Difference Schemes For Integral Equations With Minimal Regularity Requirements,
2021
Old Dominion University
Finite Difference Schemes For Integral Equations With Minimal Regularity Requirements, Wesley Cameron Davis
Mathematics & Statistics Theses & Dissertations
Volterra integral equations arise in a variety of applications in modern physics and engineering, namely in interactions that contain a memory term. Classical formulations of these problems are largely inflexible when considering non-homogeneous media, which can be problematic when considering long term interactions of real-world applications. The use of fractional derivative and integral terms naturally relax these restrictions in a natural way to consider these problems in a more general setting. One major drawback to the use of fractional derivatives and integrals in modeling is the regularity requirement for functions, where we can no longer assume that functions are as …
Wiener-Fliess Composition Of Formal Power Series: Additive Static Feedback And Shuffle Rational Series,
2021
Old Dominion University
Wiener-Fliess Composition Of Formal Power Series: Additive Static Feedback And Shuffle Rational Series, Subbarao Venkatesh Guggilam
Electrical & Computer Engineering Theses & Dissertations
The problem statement for this dissertation is two-fold. The first problem considered is when does a Chen-Fliess series in an additive static feedback connection with a formal static map yield a closed-loop system with a Chen-Fliess series expansion? This work proves that such a closed-loop system always has a Chen-Fliess series representation. Furthermore, an algorithm based on the Hopf algebras for the shuffle group and the dynamic output feedback group is designed to compute the generating series of the closed-loop system. It is proved that the additive static feedback connection preserves local convergence and relative degree, but a counterexample shows …
Modernization Of Scienttific Mathematics Formula In Technology,
2021
University of Nebraska - Lincoln
Modernization Of Scienttific Mathematics Formula In Technology, Iwasan D. Kejawa Ed.D, Prof. Iwasan D. Kejawa Ed.D
Department of Mathematics: Faculty Publications
Abstract
Is it true that we solve problem using techniques in form of formula? Mathematical formulas can be derived through thinking of a problem or situation. Research has shown that we can create formulas by applying theoretical, technical, and applied knowledge. The knowledge derives from brainstorming and actual experience can be represented by formulas. It is intended that this research article is geared by an audience of average knowledge level of solving mathematics and scientific intricacies. This work details an introductory level of simple, at times complex problems in a mathematical epidermis and computability and solvability in a Computer Science. …
Shutterplot: An R Package To Display All Summary Statistics Of A Simple Linear Regression Model,
2021
DePauw University
Shutterplot: An R Package To Display All Summary Statistics Of A Simple Linear Regression Model, Siddhanta Phuyal, Mamunur Rashid, Jyotirmoy Sarkar
Student Research
A shutterplot depicts all summary statistics in a simple linear regression model. Instead of reporting their numerical values, a shutterplot gives their visual representations. In this paper, we provide a step-by-step description of how the shutterplot package constructs a shutterplot and the options the user has in customizing it.
Ivy Plot: Enhancing A Dot Plot By Representing Observations As Leaflets,
2021
DePauw University
Ivy Plot: Enhancing A Dot Plot By Representing Observations As Leaflets, Tri Ha Minh Nguyen '23, Mamunur Rashid, Jyotirmoy Sarkar
Student Research
For a large data set, a dot plot poses a challenge—albeit unintended—in counting the dots. To overcome this shortcoming Sarkar and Rashid (2021) proposed an IVY plot, which represents tied data in batches of five by depicting an IVY leaf with five leaflets. These leaves are bottom-justified and stacked vertically, with the topmost leaf possibly having fewer than five leaflets, until the number of leaflets equals the frequency at each value
Stability Of Peakons And Periodic Peakons For A Nonlinear Quartic Camassa-Holm Equation,
2021
The University of Texas Rio Grande Valley
Stability Of Peakons And Periodic Peakons For A Nonlinear Quartic Camassa-Holm Equation, Aiyong Chen, Tongjie Deng, Zhijun Qiao
School of Mathematical & Statistical Sciences Faculty Publications
In this paper, we study the orbital stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation (QCHE).We first verify that the QCHE has global peakon and periodic peakon solutions. Then by the invariants of the equation and controlling the extrema of the solution, we prove that the shapes of the peakons and periodic peakons are stable under small perturbations in the energy space.
Numerical Approaches Of Pricing European Options In The Cox-Ross-Rubenstein Models,
2021
DePauw University
Numerical Approaches Of Pricing European Options In The Cox-Ross-Rubenstein Models, Hai Phan, Seonguk Kim Phd
Annual Student Research Poster Session
The Cox-Ross-Rubinstein (CRR) market mode is used to price European and American Options without complex elements, including dividends, stocks, and stock indexes paying a continuous dividend yield, futures, and currency options. The model is an elegant, simple, but strong model to explain the general economic intuition behind option pricing and its principal techniques. In the paper, the CRR model's numerical elements and equations are indicated, and a practical event is examined to demonstrate the application of the model in the financial market. To make it easier to understand, figures, including tables and graphs, are also included to visualize and simplify …
Interpolation And Sampling In Analytic Tent Spaces,
2021
University of Arkansas, Fayetteville
Interpolation And Sampling In Analytic Tent Spaces, Caleb Parks
Graduate Theses and Dissertations
Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in harmonic analysis. Their analytic cousins have seen some applications involving the derivatives of Hardy space functions. Moreover, the tent spaces have been a recent focus of research. We introduce the concept of interpolating and sampling sequences for analytic tent spaces analogously to the same concepts for Bergman spaces. We then characterize such sequences in terms of Seip's upper and lower uniform density. We accomplish this by exploiting a kind of Mobius invariance for the tent spaces.
Trimming Complexes,
2021
University of South Carolina
Trimming Complexes, Keller Vandebogert
Theses and Dissertations
We produce a family of complexes called trimming complexes and explore applications. We first study ideals defining type 2 compressed rings with socle minimally generated in degrees s and 2s − 1 for s > 2. We prove that all such ideals arise as trimmings of grade 3 Gorenstein ideals and show that trimming complexes yield an explicit free resolution. In particular, we give bounds on parameters arising in the Tor-algebra classification and construct explicit ideals attaining all intermediate values for every s. This partially answers a question of realizability of Tor-algebra structures posed by Avramov. Next, we study how …
Estimating Turbulence Distribution Over A Heterogeneous Path Using Time‐Lapse Imagery From Dual Cameras,
2021
Air Force Institute of Technology
Estimating Turbulence Distribution Over A Heterogeneous Path Using Time‐Lapse Imagery From Dual Cameras, Benjamin Wilson, Santasri Bose-Pillai, Jack E. Mccrae, Kevin J. Keefer, Steven T. Fiorino
Faculty Publications
Knowledge of turbulence distribution along an experimental path can help in effective turbulence compensation and mitigation. Although scintillometers are traditionally used to measure the strength of turbulence, they provide a path-integrated measurement and have limited operational ranges. A technique to profile turbulence using time-lapse imagery of a distant target from spatially separated cameras is presented here. The method uses the turbulence induced differential motion between pairs of point features on a target, sensed at a single camera and between cameras to extract turbulence distribution along the path. The method is successfully demonstrated on a 511 m almost horizontal path going …
Characterizations And Reliability Measures Of The Generalized Log Burr Xii Distribution,
2021
National College of Business Administration and Economics
Characterizations And Reliability Measures Of The Generalized Log Burr Xii Distribution, Fiaz Ahmad Bhatti, Gholamhossein G. Hamedani, Azeem Ali, Sedigheh Mirzaei Salehabadi, Munir Ahmad
Mathematical and Statistical Science Faculty Research and Publications
In this paper, we derive the generalized log Burr XII (GLBXII) distribution [2] from the generalized Burr-Hatke differential equation. We characterize the GLBXII distribution via innovative techniques. We derive various reliability measures (series and parallel). We also authenticate the potentiality of the GLBXII model via economics applications. The applications of characterizations and reliability measures of the GLBXII distribution in different disciplines of science will be profitable for scientists.
Latinx Students’ Mathematics Anxiety And Their Study Habits: Exploring Their Relationship At The Postsecondary Level,
2021
The University of Texas Rio Grande Valley
Latinx Students’ Mathematics Anxiety And Their Study Habits: Exploring Their Relationship At The Postsecondary Level, Luis M. Fernandez, Xiaohui Wang, Olga Ramirez, Cristina Villalobos
School of Mathematical & Statistical Sciences Faculty Publications
Increasing Latinx students’ success in college-level mathematics calls for exploration on their mathematics anxiety as it relates to study habits. Using a sample of Latinx students in a Hispanic Serving Institution and their levels of mathematics anxiety, pairwise analyses revealed significant differences among subgroups. Moreover, regression analyses showed Latinx students’ study habits being predictive of mathematics anxiety. As a result, recommendations are provided that could alleviate mathematics anxiety and its effects on Latinx college students.
Effect Of Excess Tellurium And Lead On Defor-Mation - Characteristics Of Polycrystalline Pbte Films,
2021
Vilnius University, Lithuania
Effect Of Excess Tellurium And Lead On Defor-Mation - Characteristics Of Polycrystalline Pbte Films, Yu.Yu. Vaitkus, Otajonov Salimjon
Scientific Bulletin. Physical and Mathematical Research
In this work, we studied the ef-fect of excess tellurium and lead on the defor-mation characteristics of polycrystalline PbTe films obtained on different substrates. It was found that the resistance of the films first increases and reach-es a maximum, and with a further increase in the level of deformation, it decreases and the sign of the tensile resistance begins to change, which are associated with the presence of internal stresses in the films. It was also shown that with an increase in the amount of lead in the composition of the PbTe film, the electrical conductivity increases in com-parison with …
Structure And Electrophysical Properties Of A Solid Solution (Gaas1-Δbiδ)1-X-Y(Ge2)X(Znse)Y,
2021
Andijan State University named after Z.M. Babur, Andijan 170100 Uzbekistan.
Structure And Electrophysical Properties Of A Solid Solution (Gaas1-Δbiδ)1-X-Y(Ge2)X(Znse)Y, S.Z. Zainabidinov, I.N. Karimov, Hotamjon Mansurov, Akramjon Boboev, Dilkhayotjon Pulatjon Ugli Abdurakhimov
Scientific Bulletin. Physical and Mathematical Research
This paper shows the possibility of growing a single-crystal solid solution of substitution (GaAs1-δBiδ)1-x-y(Ge2)x(ZnSe)y on GaAs substrates by liquid-phase epitaxy from a bismuthcontaining solution-melt. The grown films had a ptype of conductivity with a current carrier concentration of 1,86·1017 сm-3, a mobility of р = 300 cm2/V·s, and a resistivity of 0,13 Ohms·cm. Structural studies have shown that the epitaxial films have a sphalerite structure of the ZnS type and are monocrystalline with an orientation of (100). The crystal lattice parameter of the film was af = 0,56697 nm. Studies of current-voltage characteris-tics of n-GaAs – p-(GaAs1-δBiδ)1-x-y(Ge2)x(ZnSe)y heterostructures at different …
Simulation Of Self-Heating Effect In Mosfet Based On 2d Mos2,
2021
Urgench State University, Urgench
Simulation Of Self-Heating Effect In Mosfet Based On 2d Mos2, Atabek E. Atamuratov, Xushnudbek Sh. Saparov, A Yusupov, Frank Schwierz
Scientific Bulletin. Physical and Mathematical Research
One of the main trends of today's electronics is the decreasing the sizes of MOSFET up to nanometer scale. In this connection there are two main views to the perspective of scaling. According to one of them limit of scaling is reached at sizes 10 nm order, however according to second view, still there are opportunity to decrease transistor to more lower sizes. In accordance with second approach it is suggested to continue the size scaling by modification the transistor structure or by using the new materials, particularly one or two dimensional materials. One of such suggestions is the designing …
