Quantifying Iron Overload Using Mri, Active Contours, And Convolutional Neural Networks,
2019
Duquesne University
Quantifying Iron Overload Using Mri, Active Contours, And Convolutional Neural Networks, Andrea Sajewski, Stacey Levine
Undergraduate Research and Scholarship Symposium
Iron overload, a complication of repeated blood transfusions, can cause tissue damage and organ failure. The body has no regulatory mechanism to excrete excess iron, so iron overload must be closely monitored to guide therapy and measure treatment response. The concentration of iron in the liver is a reliable marker for total body iron content and is now measured noninvasively with magnetic resonance imaging (MRI). MRI produces a diagnostic image by measuring the signals emitted from the body in the presence of a constant magnetic field and radiofrequency pulses. At each pixel, the signal decay constant, T2*, can be calculated, …
Patterns, Symmetries, And Mathematical Structures In The Arts,
2019
Georgia Southern University
Patterns, Symmetries, And Mathematical Structures In The Arts, Sarah C. Deloach
Honors College Theses
Mathematics is a discipline of academia that can be found everywhere in the world around us. Mathematicians and scientists are not the only people who need to be proficient in numbers. Those involved in social sciences and even the arts can benefit from a background in math. In fact, connections between mathematics and various forms of art have been discovered since as early as the fourth century BC. In this thesis we will study such connections and related concepts in mathematics, dances, and music.
Mathematical Analysis Of The Duck Migration To Louisiana,
2019
Louisiana Tech University
Mathematical Analysis Of The Duck Migration To Louisiana, Brandon Garcia
Mathematics Senior Capstone Papers
The purpose of this project is to research the relationship between duck migration and weather patterns, more specifically trying to determine if the rainfall and temperature in a given year affects the migration patterns of ducks. Duck hunters and conservation- ists alike have observed an overall decrease in the duck population in Louisiana over the past 70 years. Though some years have seen an increase, the population has not recovered to the level from the 1950s. These observations have led to many questions about what have happened to the ducks or where have the ducks gone. Using differ- ent forms …
Historical Study Of The Relationship Between The Federal Funds Rate And The Inflation Rate,
2019
St. John Fisher University
Historical Study Of The Relationship Between The Federal Funds Rate And The Inflation Rate, Aaron Wilkins
Undergraduate External Publications
It is believed that in order to control high inflation rates, the Federal Reserve Bank (“the Fed”) increases the federal funds rate and when the inflation rate gets low, the Fed takes the opposite approach. (The federal funds rate is a rate of interest that banks charge each other to lend funds and stay above the reserve requirement, set by the government.) This project examines the relationship between the federal funds rate and the inflation rate. Sixty-five years of historical inflation rates and federal funds rates were used as the basis for this exploration. Because a time lag between the …
Poisson's Equation,
2019
Augustana College, Rock Island Illinois
Poisson's Equation, Ehren Braun, Andrew P. Sward
Mathematics: Student Scholarship & Creative Works
This presentation deals with how to solve Poisson's Equation for a two dimensional plate. The numbers can be represented as heat, charge density, and gravitational force. This is a generalization of Laplace's Equation, which are steady state problems. In this problem, it is broken up into two simpler problems. For the first part, there are two ways of solving it since it is two dimensional. This presentation covers both ways of solving it using separation of variables, orthogonality, and partial differential equations. In addition, it shows how to solve the second part and finalize Poisson's Equation.
How To Calculate Pi: Buffon's Needle (Non-Calculus Version),
2019
Central Washington University
How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve
Pre-calculus and Trigonometry
No abstract provided.
Optimal Control Theory And Estimation Of Parameters In A Differential Equation Model For Patients With Lupus,
2019
Western Kentucky University
Optimal Control Theory And Estimation Of Parameters In A Differential Equation Model For Patients With Lupus, Peter Agaba
Masters Theses & Specialist Projects
System Lupus Erythematosus (SLE) is a chronic inflammatory autoimmune disorder that affects many parts of the body including skin, joints, kidneys, brains and other organs. Lupus Nephritis (LN) is a disease caused by SLE. Given the complexity of LN, we establish an optimal treatment strategy based on a previously developed mathematical model.For our thesis work, the model variables are: Immune Complexes (I), Pro-inflammatory mediators (P), Damaged tissue (D), and Anti-inflammatory mediators (A). The analysis in this research project focuses on analyzing therapeutic strategies to control damage using both parameter estimation techniques (integration of data to quantify any uncertainties associated with …
Semiclassically Modeling Hydrogen At Rydberg States Immersed In Electromagnetic Fields,
2019
Louisiana Tech University
Semiclassically Modeling Hydrogen At Rydberg States Immersed In Electromagnetic Fields, Jaron Williams
Mathematics Senior Capstone Papers
Originally, closed-orbit theory was developed in order to analyze oscillations in the near ionization threshold (Rydberg) densities of states for atoms in strong external electric and magnetic fields. Oscillations in the density of states were ascribed to classical orbits that began and ended near the atom. In essence, observed outgoing waves following the classical path return and interfere with original outgoing waves, giving rise to oscillations. Elastic scattering from one closed orbit to another gives additional oscillations in the cross-section. This study examines how quantum theory can be properly used in combination with classical orbit theory in order to study …
The Riemann Curvature Tensor,
2019
Louisiana Tech University
The Riemann Curvature Tensor, Jennifer Cox
Mathematics Senior Capstone Papers
A tensor is a mathematical object that has applications in areas including physics, psychology, and artificial intelligence. The Riemann curvature tensor is a tool used to describe the curvature of n-dimensional spaces such as Riemannian manifolds in the field of differential geometry. The Riemann tensor plays an important role in the theories of general relativity and gravity as well as the curvature of spacetime. This paper will provide an overview of tensors and tensor operations. In particular, properties of the Riemann tensor will be examined. Calculations of the Riemann tensor for several two and three dimensional surfaces such as that …
Blackjack: The Math Behind The Cards,
2019
Louisiana Tech University
Blackjack: The Math Behind The Cards, Hanna Blanchard
Mathematics Senior Capstone Papers
In this paper the reader will learn about the math behind the cards in the game of Blackjack. Blackjack or “21” has been played around the world with various rules and regulations in both professional and informal environments. The ultimate objective of the game is to receive a total card value of 21, or as close to 21 as possible without exceeding it, from the cards in a player’s hand in order to beat the dealer’s total. The goal of this project is to calculate the probabilities of various hands to determine the best strategies to win 21. The probabilities …
Personality & How Sound Affects Moods,
2019
Louisiana Tech University
Personality & How Sound Affects Moods, Joe Pham
Mathematics Senior Capstone Papers
This research seeks to determine the personality and relationship between current moods of individuals at Louisiana Tech University by conducting a sound test of a can opening with a pre and post mood assessment, Brief Mood Introspection Scale (BMIS). The real question is “Can a sound test change mood?” Using one-way analysis of variance (ANOVA), the study is intended to examine the relationship between the pre and post (BMIS). The results indicate that there is a statistically significant relationship between both BMIS assessments. To determine if the data is significant, we must show the analysis of both BMIS and its …
Making The Cut: Receivers Of The National Football League,
2019
Louisiana Tech University
Making The Cut: Receivers Of The National Football League, Anthony Kent Davis
Mathematics Senior Capstone Papers
In this paper the prospects of the National Football League, or NFL, are studied in order to determine the relationships between past college statistics, other “measurables,” and how they translate to successful careers in the league. When referring to measurables, this consists of all of the numerical data from each player that should, in theory, help teams get an idea of the players strengths or weaknesses. The data being used comes from an annual scouting combine for NFL teams that is held prior to each season. Information about the player’s college statistics and pre-draft measurables are being compared to several …
Pisano Periods: A Comparison Study,
2019
Louisiana Tech University
Pisano Periods: A Comparison Study, Katherine Willrich
Mathematics Senior Capstone Papers
The Pisano period, denoted π(n), is the period during which the Fibonacci sequence repeats after reducing the original sequence modulo n. More generally, one can similarly define Pisano periods for any linear recurrence sequence; in this paper we compare the Pisano periods of certain linear recurrence sequences with the Pisano periods of the Fibonacci sequence. We first construct recurrence sequences, defining the initial values as integers from 2 to 1000 and second values as 1. This paper discusses how the constructed sequences are related to the matrix M = [(first row) 1 1 (second row) 1 0] reduced modulo n. …
Folding Mathematics: A Mathematical Approach To Origami,
2019
Louisiana Tech University
Folding Mathematics: A Mathematical Approach To Origami, Zachary Davis
Mathematics Senior Capstone Papers
From constructing a midpoint on a line to observing specific divisions of a plane, the art form of Origami borrows many mathematical tools in order to create complex, and often symmetrical, patterns in a paper medium known as a fold. For this project, the traditional fold known as the Origami Crane/Swan will be thoroughly examined as it contains the unique property to lie completely flat when complete. This phenomenon occurs because the vertices holding the fold together are not all considered to be flat folds. The different types of vertices interacting with each other create a natural locking mechanism within …
Factors That Predict Success Of A Beaumont Student,
2019
John Carroll University
Factors That Predict Success Of A Beaumont Student, Tara Limestoll
Masters Essays
This project is an attempt to discover predictors of high school performance through the use of data science techniques and analysis of the Beaumont school 2017-2018 student body. High school success is an important factor for college admission, so being able to forecast a student's performance or identify those in need of assistance is paramount. Analysis shows that there is a strong correlation and predictive quality in the quantitative assessment results examined in this study. While results for both success and failure were significant, predictions of student success measures were more accurate than those of the failure group.
Connectedness- Its Evolution And Applications,
2019
Ursinus College
Connectedness- Its Evolution And Applications, Nicholas A. Scoville
Topology
No abstract provided.
Greatest Common Divisor: Algorithm And Proof,
2019
University of St. Thomas - Houston
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Number Theory
No abstract provided.
The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning,
2019
Western Michigan University
The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning, Omar Abu-Ghalyoun
Dissertations
Recent influential policy reports, such as the Common Core State Standards (CCSS-M, 2010) and Guidelines for Assessment and Instruction in Statistics Education Report, (GAISE, 2007), have called for dramatic changes in the statistics content included in the K-8 curriculum. In particular, students in these grades are now expected to develop Informal Inferential Reasoning (IIR) as a way of preparing them for formal concepts of inferential statistics such as confidence intervals and testing hypotheses. Ben-Zvi, Gil, & Apel, (2007) describe IIR as the cognitive activities involved in informally making statistical inferences. Over this path from informal to formal inference, many important …
Uniformly Connected Graphs,
2019
Western Michigan University
Uniformly Connected Graphs, Nasreen Almohanna
Dissertations
Perhaps the most fundamental property that a graph can possess is that of being connected. Two vertices u and v of a graph G are connected if G contains a u-v path. The graph G itself is connected if every two vertices of G are connected. The well-studied concept of connectivity provides a measure on how strongly connected a graph may be. There are many other degrees of connectedness for a graph. A Hamiltonian path in a graph G is a path containing every vertex of G. Among the best-known classes of highly connected graph are the Hamiltonian-connected graphs, …
Congruence Relations Mod 2 For (2 X 4^T + 1)-Colored Partitions,
2019
University of South Carolina
Congruence Relations Mod 2 For (2 X 4^T + 1)-Colored Partitions, Nicholas Torello
Senior Theses
Let p_r(n) denote the difference between the number of r-colored partitions of n into an even number of distinct parts and into an odd number of distinct parts. Inspired by proofs involving modular forms of the Hirschhorn-Sellers Conjecture, we prove a similar congruence for p_r(n). Using the Jacobi Triple Product identity, we discover a much stricter congruence for p_3(n).
