The Effects Of Age On Short-Term Memory Loss Due To Proactive Interference,
2011
University of South Florida
The Effects Of Age On Short-Term Memory Loss Due To Proactive Interference, Alisha Berkauzer
Undergraduate Journal of Mathematical Modeling: One + Two
This project focused on how proactive interference affects the short-term memory of people based on their age. The goal was to find the prime age for learning information and storing it in one's memory. Seven people from ages fifteen to forty were tested individually, using a set color pattern, in order to see how well each individual could remember the different color patterns as difficulty of the pattern increased. The obtained data was fitted by the polynomial regression. The “fitted” curve shows that as age increases, the individual's performance in memorizing the more difficult patterns decreases. Also, the peaked level …
Going Ballistic: Bullet Trajectories,
2011
University of South Florida
Going Ballistic: Bullet Trajectories, Amanda Wade
Undergraduate Journal of Mathematical Modeling: One + Two
This project seeks to answer at what angle does a gun marksman have to aim in order to hit the center of a target one meter off the ground and 1000 meters away? We begin by modeling the bullet's trajectory using Euler's method with the help of a Microsoft Excel spreadsheet solver, and then systematically search for the angle corresponding to the center of the target. It was found that a marksman shooting a target 1000 meters away and 1 meter off the ground has to aim the rifle 0.436° above horizontal to hit the center.
A Mathematical Model For Swine Flu 2009 With Vaccination,
2011
University of Texas at Arlington
A Mathematical Model For Swine Flu 2009 With Vaccination, Irfan Turk
Mathematics Theses - Archive
H1N1 influenza is one of the deadliest diseases in human's history. Swine Flu 2009 is the same virus and it was named in 2009. Vaccination is of the most common ways to control a disease. We offer a new vaccination model with recommendations from the US Centers for Disease Control and Prevention (CDC). The entire population is divided into 4 different age groups: one group with no vaccination, one group with 2 doses of vaccination, and two groups with 1 dose of vaccination. We establish that higher levels of vaccination lead to greater savings of life. We also consider the …
Some Problems Of Integral Geometry In Advanced Imaging,
2011
University of Texas at Arlington
Some Problems Of Integral Geometry In Advanced Imaging, Rim Gouia
Mathematics Dissertations - Archive
During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies from thermoacoustic tomography (TAT) and ultrasound computed tomography (UCT) to non-destructive testing (NDT). All of these applications reconstruct the internal structure of an object from external measurements without damaging the entity under investigation. The basic mathematical idea common to such reconstruction problems is often based upon Radon integral transform.The Radon integral transform Rf puts into correspondence to agiven function f its integrals over certain subsets. …
On The Existence Of Totally Reflexive Modules,
2011
University of Texas at Arlington
On The Existence Of Totally Reflexive Modules, Kristen Ann Beck
Mathematics Dissertations - Archive
In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined by a Gorenstein homomorphism. Among the corollaries to this result, we recover a theorem of Avramov, Gasharov, and Peeva (1997) concerning the existence of non-free totally reflexive modules over local rings with embedded deformations. We also give a general construction for a class of local rings which satisfy the hypotheses of our theorem, and we show it is able to produce rings without embedded deformations.The second focus of …
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension,
2011
University of Texas at Arlington
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension, Manizheh Nafari
Mathematics Dissertations - Archive
M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point schemes) in the late 1980s. Recently, T. Cassidy and M. Vancliff generalized the notion of a graded Clifford algebra and called it a graded skew Clifford algebra.In this thesis, we prove that all classes of quadratic regular algebras of global dimension 3 contain graded skew Clifford algebras or Ore extensions of graded skew Clifford algebras of global dimension 2. We also prove that some regular algebras …
Travelling Distance Of A Skimboard,
2011
University of South Florida
Travelling Distance Of A Skimboard, Michael Rzonca
Undergraduate Journal of Mathematical Modeling: One + Two
The purpose of this project was to determine the optimum conditions to maximize the distance travelled on a skimboard. Given the differential equation that governs the changes in velocity of the skimboard, we were able to integrate and find an expression for the distance travelled by the skimboard. Using this expression we substitute different values for variables, such as angle of attack and resistance caused by the surface area of the rider, to explore the effect on the total distance travelled by the skimboard.
Roller Coasters Need Calculus Too!,
2011
University of South Florida
Roller Coasters Need Calculus Too!, Christina Marshall
Undergraduate Journal of Mathematical Modeling: One + Two
Using the specifications of the given launch roller coaster, we were able to determine the position vector of the roller coaster as a function of time. After determining the position function, we took the derivative of this function to calculate the velocity of the coaster as a function of time. From this calculated velocity vector, we were able to determine the time required for the coaster to reach its maximum height. We substitute this time value back into the position function to determine the maximum height the launch roller coaster can obtain.
Adiabatic Flame Temperature For Combustion Of Methane,
2011
University of South Florida
Adiabatic Flame Temperature For Combustion Of Methane, Rebeca Pupo
Undergraduate Journal of Mathematical Modeling: One + Two
This project calculated the adiabatic flame temperature of a combustion reaction of pure methane and oxygen, assuming that all of the heat liberated by the combustion reaction goes into heating the resulting mixture. Mole fractions of methane to oxygen were computed from 0.05 to 0.95, in increments of 0.05, and then an integral was computed was computed with respect to temperature using the moles of product produced or leftover moles of reactants from the starting mole fraction times the specific heat of each respective gas. The highest adiabatic flame temperature evaluated, occurred at a mole fraction of 0.35.
Model For Facial Cooling,
2011
University of South Florida
Model For Facial Cooling, Jacalyn Sampson
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of this project is to estimate the ambient temperature and the wind speed that cause painful sensation in a cheek. Our findings confirm that the higher the wind speed, the less cold air is required to cause cheek pain.
Quantum Measures And Integrals,
2011
University of Denver
Quantum Measures And Integrals, S. Gudder
Mathematics Preprint Series
We show that quantum measures and integrals appear naturally in any L2-Hilbert space H. We begin by defining a decoherence operator D(A, B) and it’s associated q-measure operator µ(A) = D(A, A) on H. We show that these operators have certain positivity, additivity and continuity properties. If ρ is a state on H, then Dρ(A, B) = tr [ρD(A, B)] and µρ(A) = Dρ(A, A) have the usual properties of a decoherence functional and q-measure, respectively. The quantization of a random variable f is defined to be a certain self-adjoint operator fb on H. Continuity and additivity properties of the …
The Linear Quadratic Tracker On Time Scales,
2011
Missouri University of Science and Technology
The Linear Quadratic Tracker On Time Scales, Martin Bohner, Nick Wintz
Faculty Scholarship
In this work, we study a natural extension of the Linear Quadratic Regulator (LQR) on time scales. Here, we unify and extend the Linear Quadratic Tracker (LQT). We seek to find an affine optimal control that minimizes a cost functional associated with a completely observable linear system. We then find an affine optimal control for the fixed final state case in terms of the current state. Finally we include an example in disturbance/rejection modelling. A numerical example is also included.
The Maximum Rectilinear Crossing Number Of The Wheel Graph,
2011
CUNY Kingsborough Community College
The Maximum Rectilinear Crossing Number Of The Wheel Graph, Elie Feder
Publications and Research
We find and prove the maximum rectilinear crossing number of the wheel graph. First, we illustrate a picture of the wheel graph with many crossings to prove a lower bound. We then prove that this bound is sharp. The treatment is divided into two cases for n even and n odd.
Existence Of Mild Solutions For Abstract Mixed Type Semilinear Evolution Equations,
2011
TÜBİTAK
Existence Of Mild Solutions For Abstract Mixed Type Semilinear Evolution Equations, Hong-Bo Shi, Wan-Tong Li, Hong-Rui Sun
Turkish Journal of Mathematics
This paper is concerned with the existence of global mild solutions and positive mild solutions to initial value problem for a class of mixed type semilinear evolution equations with noncompact semigroup in Banach spaces. The main method is based on a new fixed point theorem with respect to convex-power condensing operator.
Cognitive Constructs In Linear Algebra; Metaphors, Metonymies, Modes,
2011
University of Texas at El Paso
Cognitive Constructs In Linear Algebra; Metaphors, Metonymies, Modes, Ruben Carrizales
Open Access Theses & Dissertations
Analysis focused on the presence of different thinking modes, metonymies, and metaphors found on the interview responses to questions related to linear independence, span, and spanning sets of three students, A12, A22 and C3, taking their first linear algebra course at the college level. Findings provide insight into how first year linear algebra students move from one thinking mode to another, and the kind of metonymies and metaphors are used to construct new knowledge. The main purpose of this research was to discover and analyze the presence of the different modes of thinking and metonymy/metaphors- in the reasoning of these …
The Isomorphisms Between The Upper And Lower Triangular Matrix Algebras,
2011
University of Texas at El Paso
The Isomorphisms Between The Upper And Lower Triangular Matrix Algebras, Zahi Fawaz
Open Access Theses & Dissertations
Since matrix equations with triangular matrices are easier to solve, the triangular matrices are very important in mathematics. For instance, the LU decomposition gives an algorithm to decompose any invertible matrix A into two triangular factors: a lower triangle matrix L and an upper triangle matrix U. Moreover, the inverse of a triangular matrix is also triangular. Also the product of two lower triangular matrices produces a lower triangular matrix, the same apply for upper triangular matrices. A lot of important notions, such as the determinant, the eigenvalue problem and many others are easy to handle when we are working …
Bayesian Model Selection For Classification With Possibly Large Number Of Groups,
2011
University of Central Florida
Bayesian Model Selection For Classification With Possibly Large Number Of Groups, Justin Kyle Davis
Electronic Theses and Dissertations
The purpose of the present dissertation is to study model selection techniques which are specifically designed for classification of high-dimensional data with a large number of classes. To the best of our knowledge, this problem has never been studied in depth previously. We assume that the number of components p is much larger than the number of samples n, and that only few of those p components are useful for subsequent classification. In what follows, we introduce two Bayesian models which use two different approaches to the problem: one which discards components which have “almost constant” values (Model 1) and …
Towards Nominal Formal Languages,
2011
Chapman University
Towards Nominal Formal Languages, Alexander Kurz, Tomoyuki Suzuki, Emilio Tuosto
Engineering Faculty Articles and Research
We introduce formal languages over infinite alphabets where words may contain binders.We define the notions of nominal language, nominal monoid, and nominal regular expressions. Moreover, we extend history-dependent automata (HD-automata) by adding stack, and study the recognisability of nominal languages.
Generic Trace Logics,
2011
University of Leicester
Generic Trace Logics, Christian Kissig, Alexander Kurz
Engineering Faculty Articles and Research
We combine previous work on coalgebraic logic with the coalgebraic traces semantics of Hasuo, Jacobs, and Sokolova.
Four Popular Books On Consumer Debt: A Context For Quantitative Literacy,
2011
Belmont University
Four Popular Books On Consumer Debt: A Context For Quantitative Literacy, Andrew J. Miller
Numeracy
The topics of credit cards, mortgages, subprime lending, and fringe banking are rich sources of problems and discussions for classes focused on quantitative literacy. In this theme book review, we look at four recent books on the consumer debt industry: Credit Card Nation, by Robert Manning; Maxed Out, by James Scurlock; Collateral Damaged, by Charles Geisst; and Broke, USA, by Gary Rivlin. Credit Card Nation takes a scholarly look at the history of credit in America with a focus on the genesis and growth of the credit card industry up to the turn of the 20th century. Maxed Out also …
