Lecture 2,
2019
University of Mississippi
Lecture 2, Kannan Soundararajan
NSF-CBMS Conference: L-functions and Multiplicative Number Theory
Selberg's central limit theorem and analogues in families of L-functions (typical size of values on critical line).
Lecture 1,
2019
University of Mississippi
Lecture 1, Kannan Soundararajan
NSF-CBMS Conference: L-functions and Multiplicative Number Theory
Introduction to the rest of lectures + value distribution of L-functions away from critical line.
A Course In Harmonic Analysis,
2019
Missouri University of Science and Technology
A Course In Harmonic Analysis, Jason Murphy
AOER Course Materials
These notes were written to accompany the courses Math 6461 and Math 6462 (Harmonic Analysis I and II) at Missouri University of Science & Technology during the 2018-2019 academic year. The goal of these notes is to provide an introduction to a range of topics and techniques in harmonic analysis, covering material that is interesting not only to students of pure mathematics, but also to those interested in applications in computer science, engineering, physics, and so on.
Arecibo Message,
2019
CUNY La Guardia Community College
Arecibo Message, Joshua P. Tan
Open Educational Resources
This two week assignment asks students to interpret and analyze the 1974 Arecibo Message sent by Drake and Sagan. Week 1 introduces the concepts behind the construction of the message and engages with a critical analysis of the architecture and the contents of the message. Week 2 asks students to develop software in a Jupyter Notebook (available for free from the Anaconda Python Distribution) to interpret messages that were similar to those produced by Drake and Sagan.
The Long-Run Effects Of Tropical Cyclones On Infant Mortality,
2019
The University of San Francisco
The Long-Run Effects Of Tropical Cyclones On Infant Mortality, Isabel Miranda
Master's Theses
In the United States alone, each tropical cyclone causes an average of $14.6 billion worth of damages. In addition to the destruction of physical infrastructure, natural disasters also negatively impact human capital formation. These losses are often more difficult to observe, and therefore, are over looked when quantifying the true costs of natural disasters. One particular effect is an increase in infant mortality rates, an important indicator of a country’s general socioeconomic level. This paper utilizes a model created by Anttila-Hughes and Hsiang, that takes advantage of annual variation in tropical cyclones using annual spatial average maximum wind speeds and …
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models,
2019
Virginia Commonwealth University
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Biology and Medicine Through Mathematics Conference
No abstract provided.
Network Analyses Of Glomerular Capillaries,
2019
UConn Health
Network Analyses Of Glomerular Capillaries, Jason Cory Brunson, Justin Sardi, Mark Terasaki
Biology and Medicine Through Mathematics Conference
No abstract provided.
Predicting Impacts Of Chemicals From Organisms To Ecosystem Service Delivery: A Case Study Of Insecticide Impacts On A Freshwater Lake,
2019
Syngenta Crop Protection LLC.
Predicting Impacts Of Chemicals From Organisms To Ecosystem Service Delivery: A Case Study Of Insecticide Impacts On A Freshwater Lake, Nika Galic, Chris J. Salice, Bjorn Birnir, Randall J.F. Bruins, Virginie Ducrot, Henriette I. Jager, Andrew Kanarek, Roberto Pastorok, Richard Rebarber, Pernille Thorbek, Valery E. Forbes
Department of Mathematics: Faculty Publications
Assessing and managing risks of anthropogenic activities to ecological systems is necessary to ensure sustained delivery of ecosystem services for future generations. Ecological models provide a means of quantitatively linking measured risk assessment end points with protection goals, by integrating potential chemical effects with species life history, ecological interactions, environmental drivers and other potential stressors. Here we demonstrate how an ecosystem modeling approach can be used to quantify insecticide-induced impacts on ecosystem services provided by a lake from toxicity data for organism-level endpoints. We used a publicly available aquatic ecosystem model AQUATOX that integrates environmental fate of chemicals and their …
Survey Of Lebesgue And Hausdorff Measures,
2019
Missouri State University
Survey Of Lebesgue And Hausdorff Measures, Jacob N. Oliver
Graduate Theses/Dissertations
Measure theory is fundamental in the study of real analysis and serves as the basis for more robust integration methods than the classical Riemann integrals. Measure theory allows us to give precise meanings to lengths, areas, and volumes which are some of the most important mathematical measurements of the natural world. This thesis is devoted to discussing some of the major proofs and ideas of measure theory. We begin with a study of Lebesgue outer measure and Lebesgue measurable sets. After a brief discussion of non-measurable sets, we define Lebesgue measurable functions and the Lebesgue integral. In the last chapter …
Ridge Regression And Lasso Estimators For Data Analysis,
2019
Missouri State University
Ridge Regression And Lasso Estimators For Data Analysis, Dalip Kumar
Graduate Theses/Dissertations
An important problem in data science and statistical learning is to predict an outcome based on data collected on several predictor variables. This is generally known as a regression problem. In the field of big data studies, the regression model often depends on a large number of predictor variables. The data scientist is often dealing with the difficult task of determining the most appropriate set of predictor variables to be employed in the regression model. In this thesis we adopt a technique that constraints the coefficient estimates which in effect shrinks the coefficient estimates towards zero. Ridge regression and lasso …
Estimating Controlled Direct Effects Through Marginal Structural Models,
2019
Washington University in St. Louis
Estimating Controlled Direct Effects Through Marginal Structural Models, Silvia Michelle Torres Pacheco
Arts & Sciences Graduate Student Theses and Dissertations
When working with panel data, many researchers wish to estimate the direct effects of time-varying factors on future outcomes. However, when a baseline treatment affects both the confounders of further stages of the treatment and the outcome, the estimation of controlled direct effects using traditional regression methods faces a bias trade-off between confounding bias and post-treatment control. Drawing on research from the field of epidemiology, in this thesis I present a marginal structural modeling (MSM) approach that allows scholars to generate unbiased estimates of controlled direct effects. Further, I detail the characteristics and implementation of MSMs, compare the performance of …
Variational Inference For Quantile Rgression,
2019
Washington University in St. Louis
Variational Inference For Quantile Rgression, Bufei Guo
Arts & Sciences Graduate Student Theses and Dissertations
Quantile regression (QR) (Koenker and Bassett, 1978), is an alternative to classic lin- ear regression with extensive applications in many fields. This thesis studies Bayesian quantile regression (Yu and Moyeed, 2001) using variational inference, which is one of the alternative methods to the Markov chain Monte Carlo (MCMC) in approximating intractable posterior distributions. The lasso regularization is shown to be effective in improving the accuracy of quantile regression (Li and Zhu, 2008). This thesis developed variational inference for quantile regression and regularized quantile regression with the lasso penalty. Simulation results show that variational inference is a computationally more efficient alternative …
Bifurcation Analysis Of A Photoreceptor Interaction Model For Retinitis Pigmentosa,
2019
State University of New York at New Paltz
Bifurcation Analysis Of A Photoreceptor Interaction Model For Retinitis Pigmentosa, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis,
2019
Iowa State University
Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka
Biology and Medicine Through Mathematics Conference
No abstract provided.
Spiking Activity In Networks Of Neurons Impacted By Axonal Swelling,
2019
Cooper Union for the Advancement of Science and Art
Spiking Activity In Networks Of Neurons Impacted By Axonal Swelling, Brian Frost, Stan Mintchev
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mental Geometry For Estimating Relative 3d Size,
2019
SUNY College of Optometry
Mental Geometry For Estimating Relative 3d Size, Akihito Maruya, Qasim Zaidi Dr.
MODVIS Workshop
No abstract provided.
On A Hypothesis For ℵ0-Bounded Groups,
2019
Boise State University
On A Hypothesis For ℵ0-Bounded Groups, Marion Scheepers
Mathematics Faculty Publications and Presentations
We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [6] holds while the classical Borel Conjecture fails.
Market Research On Student Concert Attendance At Bgsu's College Of Musical Arts,
2019
Bowling Green State University
Market Research On Student Concert Attendance At Bgsu's College Of Musical Arts, Mary Solomon
Honors Projects
Bowling Green State University boasts a well established College of Musical Arts which holds concerts performed by esteemed faculty, prestigious guest artists, and students. The school hosts these events in Kobacker Hall and Bryan Recital Hall which can accommodate up to 800 and 250 audience members, respectively. However, performances in Kobacker hall only fill one- fourth of the 800 seats, on average. Why is this so? This project aims to investigate the factors that influence students’ decisions to attend concerts at the College of Musical Arts (CMA). By methodology of survey research and statistical analysis, this project will look into …
A Q-Analogue And A Symmetric Function Analogue Of A Result By Carlitz, Scoville And Vaughan,
2019
Washington University in St. Louis
A Q-Analogue And A Symmetric Function Analogue Of A Result By Carlitz, Scoville And Vaughan, Yifei Li
Arts & Sciences Graduate Student Theses and Dissertations
We derive an equation that is analogous to a well-known symmetric function identity: $\sum_{i=0}^n(-1)^ie_ih_{n-i}=0$. Here the elementary symmetric function $e_i$ is the Frobenius characteristic of the representation of $\mathcal{S}_i$ on the top homology of the subset lattice $B_i$, whereas our identity involves the representation of $\cS_n\times \cS_n$ on the top homology of Segre product of $B_n$ with itself. We then obtain a q-analogue of a polynomial identity given by Carlitz, Scoville and Vaughan through examining the Segre product of the subspace lattice $B_n(q)$ with itself. We recognize the connection between the Euler characteristic of the Segre product of $B_n(q)$ with …
Necessary Conditions For Stability Of Vehicle Formations,
2019
Portland State University
Necessary Conditions For Stability Of Vehicle Formations, Pablo Enrique Baldivieso Blanco
Dissertations and Theses
Necessary conditions for stability of coupled autonomous vehicles in R are established in this thesis. The focus is on linear arrays with decentralized vehicles, where each vehicle interacts with only a few of its neighbors. Decentralized means that there is no central authority governing the motion. Instead, each vehicle registers only velocity and position relative to itself and bases its acceleration only on those data. Explicit expressions are obtained for necessary conditions for asymptotic stability in the cases that a system consists of a periodic arrangement of two or three different types of vehicles, i.e. configurations as follows: ...2-1-2-1 or …
