Using Odes To Model Drug Concentrations Within The Field Of Pharmacokinetics,
2016
Augustana College, Rock Island Illinois
Using Odes To Model Drug Concentrations Within The Field Of Pharmacokinetics, Andrea Mcnally
Mathematics: Student Scholarship & Creative Works
No abstract provided.
What Is The True Cost To Stay In The Hospital?,
2016
Bryant University
What Is The True Cost To Stay In The Hospital?, Samantha Alicandro
Honors Projects in Mathematics
Currently, the unfortunate reality that receiving diverse health procedures can be extremely expensive is widely acknowledged and woefully accepted. However, have you inquired or been curious about the specific factors that influence the cost per day expensed by a hospital? Through examination, investigation, and evaluation operating SAS Enterprise Guide, SAS Enterprise Miner and Tableau I have attempted to arrive at a conclusion for this very question. Utilizing a 1.5 million row data set provided by Rhode Island, for the years 2003-2013, I analyzed the assorted elements conceivably bearing impact on the cost per day at a hospital. Regressions, decision trees, …
Catching Card Counters,
2016
Bryant University
Catching Card Counters, Sarah French
Honors Projects in Mathematics
The casino industry has been researched through a variety of disciplines including psychological gambling habits, technological advances, business strategies, and mathematical simulations. In the vast number of studies that have been conducted, there are few scholarly articles that focus on the specific aspect of card counting. The majority of games in the casino are designed to favor the “house”. This study focuses on the game of blackjack, in which players using a card counting strategy can tip the odds in their favor. A computer simulation was used to model the betting strategy of a card counter who would bet methodically. …
Roles Of A Teacher And Researcher During In Situ Professional Development Around The Implementation Of Mathematical Modeling Tasks,
2016
Calvin University
Roles Of A Teacher And Researcher During In Situ Professional Development Around The Implementation Of Mathematical Modeling Tasks, Hyunyi Jung, Corey Brady
University Faculty Publications and Creative Works
Partnership with teachers for professional development has been considered beneficial because of the potential of collaborative work in the teacher’s own classroom to be relevant to practice. From this perspective, both teachers and researchers can draw on their own expertise and work as authentic partners. In this study, we address the need for such collaboration and focus on how a teacher and a researcher performed their roles when collaboratively implementing mathematical modeling tasks within a context of in situ professional development. Using multi-tier design-based research, as a framework, a researcher worked in a teacher’s classroom to implement a series of …
Regularity Of Solutions And The Free Boundary For A Class Of Bernoulli-Type Parabolic Free Boundary Problems With Variable Coefficients,
2016
Purdue University
Regularity Of Solutions And The Free Boundary For A Class Of Bernoulli-Type Parabolic Free Boundary Problems With Variable Coefficients, Thomas H. Backing
Open Access Dissertations
In this work the regularity of solutions and of the free boundary for a type of parabolic free boundary problem with variable coefficients is proved. After introducing the problem and its history in the introduction, we proceed in Chapter 2 to prove the optimal Lipschitz regularity of viscosity solutions under the main assumption that the free boundary is Lipschitz. In Chapter 3, we prove that Lipschitz free boundaries possess a classical normal in both space and time at each point and that this normal varies with a Hölder modulus of continuity. As a consequence, the viscosity solution is in fact …
Coding Strategies, The Choquet Game And Domain Representability,
2016
University of Dayton
Coding Strategies, The Choquet Game And Domain Representability, Lynne Yengulalp
Mathematics Faculty Publications
We prove that if the NONEMPTY player has a winning strategy in the strong Choquet game on a regular space X then NONEMPTY has a winning coding strategy in that game (a strategy that only depends on the previous 2 moves). We also prove that any regular domain representable space is generalized subcompact.
Modeling Shock Waves Using Exponential Interpolation Functions With The Least-Squares Finite Element Method,
2016
Old Dominion University
Modeling Shock Waves Using Exponential Interpolation Functions With The Least-Squares Finite Element Method, Bradford Scott Smith Jr.
Mechanical & Aerospace Engineering Theses & Dissertations
The hypothesis of this research is that exponential interpolation functions will approximate fluid properties at shock waves with less error than polynomial interpolation functions. Exponential interpolation functions are derived for the purpose of modeling sharp gradients. General equations for conservation of mass, momentum, and energy for an inviscid flow of a perfect gas are converted to finite element equations using the least-squares method. Boundary conditions and a mesh adaptation scheme are also presented. An oblique shock reflection problem is used as a benchmark to determine whether or not exponential interpolation provides any advantages over Lagrange polynomial interpolation. Using exponential interpolation …
Cutting Triangles,
2016
Stephen F Austin State University
Cutting Triangles, Nghia Nguyen, Jane Long
Undergraduate Research Conference
The idea of this project began with a question: Draw any triangle on a piece of paper, is it possible to fold the paper so that the triangle can be cut out in one slice?
Diagnosing Autism Spectrum Disorder Through Brain Functional Magnetic Resonance Imaging,
2016
Air Force Institute of Technology
Diagnosing Autism Spectrum Disorder Through Brain Functional Magnetic Resonance Imaging, Kyle A. Palko
Theses and Dissertations
Autism spectrum disorder (ASD) is a neurodevelopmental condition that can be debilitating to social functioning. Previous functional Magnetic Resonance Imaging (fMRI) classification studies have included only small subject sample sizes (n 50) and have seen high classification accuracy. The recent release of the Autism Brain Imaging Data Exchange (ABIDE) provides fMRI data for over 1,100 subjects. In our research, we derive a subject's functional network connectivity (FNC) from their fMRI data and develop a regularized logistic classifier to determine whether a subject has autism. We obtained up to 65% classification accuracy, similar to other studies using the ABIDE dataset, suggesting …
A Logistic Regression And Markov Chain Model For The Prediction Of Nation-State Violent Conflicts And Transitions,
2016
Air Force Institute of Technology
A Logistic Regression And Markov Chain Model For The Prediction Of Nation-State Violent Conflicts And Transitions, Nicholas Shallcross
Theses and Dissertations
Using open source data, this research formulates and constructs a suite of statistical models that predict future transitions into and out of violent conflict and forecasts the regional and global incidences of violent conflict over a ten-year time horizon. A total of thirty predictor variables are tested and evaluated for inclusion in twelve conditional logistic regression models, which calculate the probability that a nation will transition from its current conflict state, either In Conflict or Not in Conflict, to a new state in the following year. These probabilities are then used to construct a series of nation-specific Markov chain models …
Radial Basis Function Based Quadrature Over Smooth Surfaces,
2016
Air Force Institute of Technology
Radial Basis Function Based Quadrature Over Smooth Surfaces, Maloupu L. Watts
Theses and Dissertations
The numerical approximation of denite integrals, or quadrature, often involves the construction of an interpolant of the integrand and subsequent integration of the interpolant. It is natural to rely on polynomial interpolants in the case ofone dimension; however, extension of integration of polynomial interpolants to two or more dimensions can be costly andunstable. A method for computing surface integrals on the sphere is detailed in the literature (Reeger and Fornberg,Studies in Applied Mathematics, 2016). The method uses local radial basis function (RBF) interpolation to reducecomputational complexity when generating quadrature weights for the particular node set. This thesis expands upon thesame …
Asymptotically Periodic Solutions Of Volterra Integral Equations,
2016
University of Dayton
Asymptotically Periodic Solutions Of Volterra Integral Equations, Muhammad Islam
Mathematics Faculty Publications
We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay. Schauder's fixed point theorem is used in the analysis.
Smallest Eigenvalues For A Right Focal Boundary Value Problem,
2016
University of Dayton
Smallest Eigenvalues For A Right Focal Boundary Value Problem, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications
We establish the existence of smallest eigenvalues for the fractional linear boundary value problems Dα0+u+λ1p(t)u = 0 and Dα0+u+λ2q(t)u = 0, 0
On The Flow Of Non-Axisymmetric Perturbations Of Cylinders Via Surface Diffusion,
2016
University of Richmond
On The Flow Of Non-Axisymmetric Perturbations Of Cylinders Via Surface Diffusion, Jeremy Lecrone, Gieri Simonett
Department of Math & Statistics Faculty Publications
We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders Cr in IR3. Using tools from parabolic theory on uniformly regular manifolds, and maximal regularity, we establish existence and uniqueness of solutions to surface diffusion flow starting from (spatially--unbounded) surfaces defined over Cr via scalar height functions which are uniformly bounded away from the central cylindrical axis. Additionally, we show that Cr is normally stable with respect to 2π--axially--periodic perturbations if the radius r>1,and unstable if 0
Oscillation Of Solution To Second-Order Half-Linear Delay Dynamic Equations On Time Scales,
2016
South China University of Technology
Oscillation Of Solution To Second-Order Half-Linear Delay Dynamic Equations On Time Scales, Hongwu Wu, Lynn Erbe, Allan Peterson
Department of Mathematics: Faculty Publications
This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our results extend Kamenev-type, Philos-type and Li-type oscillation criteria. Several examples are given to illustrate our results.
Matched Metrics And Channels,
2016
University of Campinas
Matched Metrics And Channels, Marcelo Firer, Judy L. Walker
Department of Mathematics: Faculty Publications
The most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well-known that maximum likelihood decoding coincides with nearest neighbor decoding with respect to the Hamming metric on the binary symmetric channel. In this work we study channels and metrics for which those two criteria do and do not coincide for general codes.
How Much Should You Pay For A Financial Derivative?,
2016
CUNY New York City College of Technology
How Much Should You Pay For A Financial Derivative?, Boyan Kostadinov
Publications and Research
We explain some key mathematical ideas behind the no-arbitrage pricing of financial derivatives by replication, starting from a simple coin toss model and ending with the continuous-time limit of a multi-step coin-toss model using a geometric random walk model. In the limit, we obtain the classical Black-Scholes-Merton formula for pricing European call and put options.
A Weak Galerkin Method For Parabolic Equations,
2016
University of Arkansas Little Rock
A Weak Galerkin Method For Parabolic Equations, Yajie Yu
Theses and Dissertations
Parabolic equations have very broad applications in physics and engineering, such as heat diffusion and ocean acoustic propagation. Here we consider the 2D case with time dependent equations. Many numerical methods have been proposed to solve them, such as discontinuous Galerkin method, hybridized Galerkin method and so on. A weak Galerkin method is introduced by Dr. Wang and Dr. Ye by employing totally discontinuous functions in approximation space and an innovatively defined weak gradient operator which provide desirable flexibilities.In this thesis, we apply this method to solve parabolic equations. This method also has the energy conserva- tion property. Both continuous …
Converting Heterogeneous Statistical Tables On The Web To Searchable Databases,
2016
Brigham Young University
Converting Heterogeneous Statistical Tables On The Web To Searchable Databases, David W. Embley, Mukkai S. Krishnamoorthy, George Nagy, Sharad C. Seth
School of Computing: Faculty Publications
Much of the world’s quantitative data reside in scattered web tables. For a meaningful role in Big Data analytics, the facts reported in these tables must be brought into a uniform framework. Based on a formalization of header-indexed tables, we proffer an algorithmic solution to end-to-end table processing for a large class of human-readable tables. The proposed algorithms transform header-indexed tables to a category table format that maps easily to a variety of industry-standard data stores for query processing. The algorithms segment table regions based on the unique indexing of the data region by header paths, classify table cells, and …
High Contrast Ultrasonic Imaging Of Resin-Rich Regions In Graphite/Epoxy Composites Using Entropy,
2016
Washington University in St Louis
High Contrast Ultrasonic Imaging Of Resin-Rich Regions In Graphite/Epoxy Composites Using Entropy, Michael S. Hughes, John E. Mccarthy, Paul J. Bruillard, Jon N. Marsh, Samuel A. Wickline
Mathematics Faculty Research
This study compares different approaches for imaging a near-surface resin-rich defect in a thin graphite/epoxy plate using backscattered ultrasound. The specimen was created by cutting a circular hole in the second ply; this region filled with excess resin from the graphite/epoxy sheets during the curing process. Backscat-tered waveforms were acquired using a 4 in. focal length, 5MHz center frequency broadband transducer, scanned on a 100 × 100 grid of points that were 0.03 × 0.03 in. apart. The specimen was scanned with the defect side closest to the transducer. Consequently, the reflection from the resin-rich region cannot be gated from …
