A Stochastic Model For Water-Vegetation Systems And The Effect Of Decreasing Precipitation On Semi-Arid Environments,
2017
Utah State University
A Stochastic Model For Water-Vegetation Systems And The Effect Of Decreasing Precipitation On Semi-Arid Environments, Shannon A. Dixon
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Current climate change trends are affecting the magnitude and recurrence of extreme weather events. In particular, several semi-arid regions around the planet are confronting more intense and prolonged lack of precipitation, slowly transforming these regions into deserts. Many mathematical models have been developed for purposes of analyzing vegetation-water interactions, particularly in semi-arid landscapes. Most models are based on the average behavior of the system as a whole, and how it is influenced by external changes. These models may be termed "macro-scale" models. Other models have concerned themselves with the interactions between individuals, in this case the interactions between individual plants …
The Gamma-Generalized Inverse Weibull Distribution With Applications To Pricing And Lifetime Data,
2017
Georgia Southern University
The Gamma-Generalized Inverse Weibull Distribution With Applications To Pricing And Lifetime Data, Broderick O. Oluyede, Boikanyo Makubate, Divine Wanduku, Ibrahim Elbatal, Valeriia Sherina
Mathematical Sciences: Faculty Publications
A new distribution called the gamma-generalized inverse Weibull distribution which includes inverse exponential, inverse Rayleigh, inverse Weibull, Frechet, generalized inverse Weibull, gamma-exponentiated inverse exponential, exponentiated inverse exponential, Zografos and Balakrishnan-generalized inverse Weibull, Zografos and Balakrishnan-inverse Weibull, Zografos and Balakrishnan-generalized inverse exponential, Zografos and Balakrishnan-inverse exponential, Zografos and Balakrishnan-generalized inverse Rayleigh, Zografos and Balakrishnan-inverse Rayleigh, and Zografos and Balakrishnan-Fr'echet distributions as special cases is proposed and studied in detail. Some structural properties of this new distribution including density expansion, moments, Renyi entropy, distribution of the order statistics, moments of the order statistics and L-moments are presented. Maximum likelihood estimation technique is …
A Comparison Of Multiple Testing Adjustment Methods With Block-Correlation Positively-Dependent Tests,
2017
Utah State University
A Comparison Of Multiple Testing Adjustment Methods With Block-Correlation Positively-Dependent Tests, John R. Stevens, Abdullah Al Masud, Anvar Suyundikov
Mathematics and Statistics Faculty Publications
In high dimensional data analysis (such as gene expression, spatial epidemiology, or brain imaging studies), we often test thousands or more hypotheses simultaneously. As the number of tests increases, the chance of observing some statistically significant tests is very high even when all null hypotheses are true. Consequently, we could reach incorrect conclusions regarding the hypotheses. Researchers frequently use multiplicity adjustment methods to control type I error rates—primarily the family-wise error rate (FWER) or the false discovery rate (FDR)—while still desiring high statistical power. In practice, such studies may have dependent test statistics (or p-values) as tests can be dependent …
Braille Band: A Refreshable Braille Wristwatch,
2017
Morehead State University
Braille Band: A Refreshable Braille Wristwatch, Rachel Crum, Duane Skaggs
Celebration of Student Scholarship Poster Sessions Archive
No abstract provided.
Colorectal Cancer Screenings In The United States,
2017
Bemidji State University
Colorectal Cancer Screenings In The United States, Charles Buhrman
Honors Capstones
Colorectal cancer is the second leading cancer killer in the United States behind lung cancer, so research is needed about this particular cancer (American Cancer Society, 2016). With medical advancements over the past decade, doctors are able to detect cancer symptoms earlier and treat cancers more readily. By compiling the medical record data for the Midwest and the Northeast, a picture can be painted that shows the prevalence of screenings in each region, and the mortality rates of those regions based on the amount of screenings done. The aim of this study is to examine the current colorectal cancer (CRC) …
The Math Behind "Who Is Number One?",
2017
Morehead State University
The Math Behind "Who Is Number One?", Gabriel Mcilrath
Celebration of Student Scholarship Poster Sessions Archive
No abstract provided.
Maxwell's Equations, Gauge Fields, And Yang-Mills Theory,
2017
University of Mary Washington
Maxwell's Equations, Gauge Fields, And Yang-Mills Theory, Nicholas Alexander Gabriel
Departmental Honors & Graduate Capstone Projects
Starting from Maxwell's theory of electromagnetism in a Minkowski spacetime, we generalize to arbitrary spacetimes and gauge groups. The gauge groups U(1) and SU(3) and their associated Yang-Mills theories are discussed in detail.
Student-Created Test Sheets,
2017
Bowling Green State University
Student-Created Test Sheets, Samuel Laderach
Honors Projects
Assessment plays a necessary role in the high school mathematics classroom, and testing is a major part of assessment. Students often struggle with mathematics tests and examinations due to math and test anxiety, a lack of student learning, and insufficient and inefficient student preparation. Practice tests, teacher-created review sheets, and student-created test sheets are ways in which teachers can help increase student performance, while ridding these detrimental factors. Student-created test sheets appear to be the most efficient strategy, and this research study examines the effects of their use in a high school mathematics classroom.
Algorithms To Approximate Solutions Of Poisson's Equation In Two And Three Dimensions,
2017
University of Mary Washington
Algorithms To Approximate Solutions Of Poisson's Equation In Two And Three Dimensions, Rachelle Serena Dambrose
Departmental Honors & Graduate Capstone Projects
The focus of this research was to develop numerical algorithms to approximate solutions to Poisson's equation in two and three dimensions. Numerical analysis of partial differential equations is vital to understanding and modeling these complex problems. A finite difference approximation of Poisson's equation can be used to form a system of linear equations of solutions through a region. A computer program was developed to solve this system with inputs such as boundary conditions and a nonhomogenous source function. Approximate solutions were compared with exact solutions to prove their accuracy. The program was tested with an increasing number of subintervals to …
Relation Algebras, Idempotent Semirings And Generalized Bunched Implication Algebras,
2017
Chapman University
Relation Algebras, Idempotent Semirings And Generalized Bunched Implication Algebras, Peter Jipsen
Mathematics, Physics, and Computer Science Faculty Articles and Research
This paper investigates connections between algebraic structures that are common in theoretical computer science and algebraic logic. Idempotent semirings are the basis of Kleene algebras, relation algebras, residuated lattices and bunched implication algebras. Extending a result of Chajda and Länger, we show that involutive residuated lattices are determined by a pair of dually isomorphic idempotent semirings on the same set, and this result also applies to relation algebras. Generalized bunched implication algebras (GBI-algebras for short) are residuated lattices expanded with a Heyting implication. We construct bounded cyclic involutive GBI-algebras from so-called weakening relations, and prove that the class of weakening …
Exploring Tetration In The Complex Plane,
2017
Arkansas State University
Exploring Tetration In The Complex Plane, Samuel Patrick Cowgill
Student Theses and Dissertations
We will look at the tetration problem for when the bases satisfy b > e^{1/e}. We will prove that Knesser’s solution is the unique true solution to the tetration equation F(x+1)=g(F(x)), where g(x) = b^x. After proving this uniqueness, a new iteration method is developed and will give way to the development of the arctetration function. We will use the complex Fourier series coefficients and the Cauchy-Integral formula aided with Gaussian quadrature with only 180 nodes, to numerically evaluate this solution, which improves the number of calculation iterations from previous methods. This thesis will also look at the next level which …
Sum-Defined Colorings In Graphs,
2017
Western Michigan University
Sum-Defined Colorings In Graphs, James Hallas
Honors Theses
There have been numerous studies using a variety of methods for the purpose of uniquely distinguishing every two adjacent vertices of a graph. Many of these methods have involved graph colorings. The most studied colorings are proper colorings. A proper coloring of a graph G is an assignment of colors to the vertices of G such that adjacent vertices are assigned distinct colors. The minimum number of colors required in a proper coloring of G is the chromatic number of G. In our work, we introduce a new coloring that induces a (nearly) proper coloring. Two vertices u and …
The Regularity Lemma And Its Applications,
2017
Western Michigan University
The Regularity Lemma And Its Applications, Elizabeth Sprangel
Honors Theses
The regularity lemma (also known as Szemerédi's Regularity Lemma) is one of the most powerful tools used in extremal graph theory. In general, the lemma states that every graph has some structure. That is, every graph can be partitioned into a finite number of classes in a way such that the number of edges between any two parts is “regular." This thesis is an introduction to the regularity lemma through its proof and applications. We demonstrate its applications to extremal graph theory, Ramsey theory, and number theory.
2017 Petersheim Academic Exposition Schedule Of Events,
2017
Seton Hall University
2017 Petersheim Academic Exposition Schedule Of Events, Seton Hall University
Petersheim Academic Exposition
2017 Petersheim Academic Exposition
Optimal Experimental Design To Characterize A Wave Source Using Dosimeter Measurements,
2017
University of New Mexico
Optimal Experimental Design To Characterize A Wave Source Using Dosimeter Measurements, Renee L. Gooding
Mathematics & Statistics ETDs
When modeling physical phenomena we want to solve the inverse problem by estimating the parameters that characterize the source model that we are interested in. In this thesis, we focus on the optimal placement of a finite number of individual sensors, called dosimeters, in two and three dimensions with a time dependent Gaussian wave source. Using a computational model along with experimental data, we design an iterative process to determine the optimal placement of an additional sensor such that the noise in the measurements has a minimal effect on the parameter estimation. First, we estimate the parameters that characterize the …
Deterministic And Probabilistic Methods For Seismic Source Inversion,
2017
Univeristy of New Mexico
Deterministic And Probabilistic Methods For Seismic Source Inversion, Juan Pablo Madrigal Cianci
Mathematics & Statistics ETDs
The national Earthquake Information Center (NEIC) reports an occurrence of about 13,000 earthquakes every year, spanning different values on the Richter scale from very mild (2) to "giant earthquakes'' (8 and above). Being able to study these earthquakes provides useful information for a wide range of applications in geophysics. In the present work we study the characteristics of an earthquake by performing seismic source inversion; a mathematical problem that, given some recorded data, produces a set of parameters that when used as input in a mathematical model for the earthquake generates synthetic data that closely resembles the measured data. There …
Cancer Modeling: From Optimal Cell Renewal To Immunotherapy,
2017
University of New Mexico
Cancer Modeling: From Optimal Cell Renewal To Immunotherapy, Cesar L. Alvarado
Mathematics & Statistics ETDs
Cancer is a disease caused by mutations in normal cells. According to the National Cancer Institute, in 2016, an estimated 1.6 million people were diagnosed and approximately 0.5 million people died from the disease in the United States. There are many factors that shape cancer at the cellular and organismal level, including genetic, immunological, and environmental components. In this thesis, we show how mathematical modeling can be used to provide insight into some of the key mechanisms underlying cancer dynamics. First, we use mathematical modeling to investigate optimal homeostatic cell renewal in tissues such as the small intestine with an …
Immersed Boundary Smooth Extension (Ibse): A High-Order Method For Solving Incompressible Flows In Arbitrary Smooth Domains,
2017
University of California, Davis
Immersed Boundary Smooth Extension (Ibse): A High-Order Method For Solving Incompressible Flows In Arbitrary Smooth Domains, David B. Stein, Robert D. Guy, Becca Thomases
Mathematics Sciences: Faculty Publications
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial accuracy near embedded boundaries for the velocity field and fails to converge pointwise for elements of the stress tensor. In a previous work we introduced the Immersed Boundary Smooth Extension (IBSE) method, a variation of the IB method that achieves high-order accuracy for elliptic PDE by smoothly extending the unknown solution of the PDE from a given smooth domain to a larger computational domain, enabling the use of simple Cartesian-grid discretizations. In this …
"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education,
2017
Florida A&M University
"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education, Vanessa R. Pitts Bannister, Julius Davis, Jomo Mutegi, Latasha Thompson, Deborah Lewis
Catalyst: A Social Justice Forum
The underachievement and underrepresentation of African Americans in STEM (Science, Technology, Engineering and Mathematics) disciplines have been well documented. Efforts to improve the STEM education of African Americans continue to focus on relationships between teaching and learning and factors such as culture, race, power, class, learning preferences, cultural styles and language. Although this body of literature is deemed valuable, it fails to help STEM teacher educators and teachers critically assess other important factors such as pedagogy and curriculum. In this article, the authors argue that both pedagogy and curriculum should be centered on the social condition of African Americans – …
On The Reality Of Mathematics,
2017
Southeastern University - Lakeland
On The Reality Of Mathematics, Brendan Ortmann
Selected Student Publications
Mathematics is an integral cornerstone of science and society at large, and its implications and derivations should be considered. That mathematics is frequently abstracted from reality is a notion not countered, but one must also think upon its physical basis as well. By segmenting mathematics into its different, abstract philosophies and real-world applications, this paper seeks to peer into the space that mathematics seems to fill; that is, to understand how and why it works. Under mathematical theory, Platonism, Nominalism, and Fictionalism are analyzed for their validity and their shortcomings, in addition to the evaluation of infinities and infinitesimals, to …
