Laser Beam Propagation Over Long Distances In Turbulent Media,
2020
University of New Mexico
Laser Beam Propagation Over Long Distances In Turbulent Media, Justyna O. Sotiris
Mathematics & Statistics ETDs
The propagation of lasers through different media is a broad topic of study and falls under the larger topic of wave propagation. The focus of this thesis is the development and analysis of a numerical computational model of laser beam propagation through a turbulent atmosphere over a long distance. When a beam propagates through a turbulent atmosphere over a distance exceeding several kilometers it is a strong fluctuation propagation. There exist fewer robust methods to demonstrate how strong fluctuations affect the beam. Beam propagation can be described by the Linear Schr\"{o}dinger Equation (LSE). The fluctuations in the refractive index are …
Shallow Water Equations And Floor Topography Affect On Sea Surface,
2020
Louisiana Tech University
Shallow Water Equations And Floor Topography Affect On Sea Surface, Chase Jones
Mathematics Senior Capstone Papers
For this research project, we have been doing research on the shallow water equations: a set of hyperbolic partial differential equations. These equations exist as a set of three primary equations [2]. However, there is another version of the shallow water equations called the Saint Venant’s equations. These equations are similar to the standard shallow water equations, but these equations have been reduced to one-dimension. The primary goal of our research has been to investigate the behavior and mathematical construction of the Saint Venant’s equations and model these equations using COMSOL. Regardless of the equation type, standard or Saint Venant’s, …
Modeling The Effects Of Fentanyl And Narcan On The Opioid Epidemic In Allegheny County Using Mathematics,
2020
Duquesne University
Modeling The Effects Of Fentanyl And Narcan On The Opioid Epidemic In Allegheny County Using Mathematics, Lindsay Moskal, Lauren Sines, Rachael Neilan Ph.D.
Undergraduate Research and Scholarship Symposium
Starting in the 1990s, physicians across the United States have increasingly prescribed opioid pain relievers, which has given rise to the current opioid epidemic. As a result, there has been a drastic increase in the number of overdose fatalities. In 2017, the number of opioid overdose deaths peaked and the U.S. declared the crisis as a public health emergency. One state that has contributed significantly to this epidemic is Pennsylvania, which ranks first for the greatest number of overdose deaths and third for the highest death rate. In fact, Allegheny County has witnessed an overdose death rate that is three …
Modeling The Effects Of Fentanyl And Narcan On The Opioid Epidemic In Allegheny County Using Mathematics,
2020
Duquesne University
Modeling The Effects Of Fentanyl And Narcan On The Opioid Epidemic In Allegheny County Using Mathematics, Lindsay Moskal, Lauren Sines, Rachael Neilan Ph.D.
Undergraduate Research and Scholarship Symposium
Starting in the 1990s, physicians across the United States have increasingly prescribed opioid pain relievers, which has given rise to the current opioid epidemic. As a result, there has been a drastic increase in the number of overdose fatalities. In 2017, the number of opioid overdose deaths peaked and the U.S. declared the crisis as a public health emergency. One state that has contributed significantly to this epidemic is Pennsylvania, which ranks first for the greatest number of overdose deaths and third for the highest death rate. In fact, Allegheny County has witnessed an overdose death rate that is three …
Decision Tree For Predicting The Party Of Legislators,
2020
CUNY New York City College of Technology
Decision Tree For Predicting The Party Of Legislators, Afsana Mimi
Publications and Research
The motivation of the project is to identify the legislators who voted frequently against their party in terms of their roll call votes using Office of Clerk U.S. House of Representatives Data Sets collected in 2018 and 2019. We construct a model to predict the parties of legislators based on their votes. The method we used is Decision Tree from Data Mining. Python was used to collect raw data from internet, SAS was used to clean data, and all other calculations and graphical presentations are performed using the R software.
A Statistical Analysis Of The Unm Facets Design Identity & Beliefs Survey Data,
2020
University of New Mexico - Main Campus
A Statistical Analysis Of The Unm Facets Design Identity & Beliefs Survey Data, Clarissa A. Sorensen-Unruh
Mathematics & Statistics ETDs
The NSF-funded FACETS (Formation of Accomplished Chemical Engineers for Transforming Society, NSF Award 1623105) grant aims to transform the undergraduate engineering experience in the Department of Chemical and Biological Engineering at the University of New Mexico to address attrition within engineering majors, especially among underserved populations (Brainard & Carlin, 1998). The UNM FACETS Design Identity & Beliefs survey, an assessment tool used as part of the research of the grant, generated the dataset used in this study. I performed several different statistical analyses on the dataset, including confirmatory factor analysis (CFA), principal component analysis (PCA), and cluster analysis. The …
Sensor Data Analysis In Smart Buildings,
2020
CUNY New York City College of Technology
Sensor Data Analysis In Smart Buildings, Manuel A. Mane Penton
Publications and Research
Data analysis and Machine Learning are destined to evolve the current technology infrastructure by solving technology and economy demands present mainly in developed cities like New York. This research proposes a machine learning (ML) based solution to alleviate one of the main issues that big buildings such as CUNY campuses have, that is the waste of energy resources. The analysis of data coming from the readings of different deployed sensors such as CO2, humidity and temperature can be used to estimate occupancy in a specific room and building in general. The outcome of this research established a relationship between the …
From Branches To Fibers - Investigating F-Actin Networks With Biochemistry And Mathematical Modeling,
2020
James Madison University
From Branches To Fibers - Investigating F-Actin Networks With Biochemistry And Mathematical Modeling, Melissa A. Riddle
Senior Honors Projects, 2020-current
F-actin networks have different structures throughout the cell depending on their location or mechanical role. For example, at the leading edge of a migrating cell, F-actin is organized in a region called the lamellipodia as a branched network responsible for pushing the membrane outwards. Behind the lamellipodia is a lamellar actin network where focal adhesions and stress fibers originate, and then within the cell cortex, actin is arranged in a gel-like network. Stress fibers are an important organization of F-actin and how they arise from either the branched lamellipodia network or the gel-like cortex network is poorly understood. Our approach …
Recent Advances In Computational Mathematics And Applications,
2020
Pacific Northwest National Laboratory
Recent Advances In Computational Mathematics And Applications, Eric Machorro, Jichun Li, Monika Neda, Pengtao Sun, Hongtao Yang
Mathematical Sciences Faculty Research
No abstract provided.
Construct Local Quasi-Interpolation Operators Using Linear B-Splines,
2020
University of Missouri-St. Louis
Construct Local Quasi-Interpolation Operators Using Linear B-Splines, Abeer Alzahrani
Dissertations
The data interpolating problem is a fundamental problem in data analysis, and B-splines are frequently used as the basis functions for data interpolation. In the real-world applications, the real-time processing is very important. To achieve that, we cannot use any matrix inversion for large amount of data, and we also need to avoid using any global operator. To solve this problem, we develop a new method based on a local quasi-interpolation operator. To construct the local quasi-interpolation operator, we need to factorize the Shoenberg-Whitney matri- ces for the given data samples. Furthermore, our local quasi-interpolation operator should correspond to a …
Congressional Redistricting,
2020
Augsburg University
Congressional Redistricting, C. David Robshaw
All Zyzzogeton Presentations
To identify when gerrymandering occurs, one can study compactness measures of districts. After determining that some measures of compactness alone are insufficient to identify fair or biased district boundaries, this study's investigation continues by focusing on wasted votes. Using wasted votes, a procedure is developed and coded in R that takes a given congressional district map and alters it to provide a redistricting of desired fair or partisan results.
The Mathematics Behind Illusion,
2020
Augsburg University
The Mathematics Behind Illusion, Kouassi Adou
All Zyzzogeton Presentations
Historically, research on optical, or visual illusions has belonged mainly to the field of psychology. However, in the 1980s, Professor Kokichi Sugihara, Meiji University, Japan, introduced a mathematical approach to design and classify 3-dimensional optical illusions. This presentation provides a sample of the mathematics behind some types of visual illusions.
The Game Of Life On The Hyperbolic Plane,
2020
Rose-Hulman Institute of Technology
The Game Of Life On The Hyperbolic Plane, Yuncong Gu
Mathematical Sciences Technical Reports (MSTR)
In this paper, we work on the Game of Life on the hyperbolic plane. We are interested in different tessellations on the hyperbolic plane and different Game of Life rules. First, we show the exponential growth of polygons on the pentagon tessellation. Moreover, we find that the Group of 3 can keep the boundary of a set not getting smaller. We generalize the existence of still lifes by computer simulations. Also, we will prove some propositions of still lifes and cycles. There exists a still life under rules B1, B2, and S3.
How To Estimate The Stiffness Of The Multi-Layer Road Based On Properties Of Layers: Symmetry-Based Explanation For Odemark's Equation,
2020
Universidad de Piura
How To Estimate The Stiffness Of The Multi-Layer Road Based On Properties Of Layers: Symmetry-Based Explanation For Odemark's Equation, Edgar Daniel Rodriguez Velasquez, Vladik Kreinovich, Olga Kosheleva, Nguyen Hoang Phuong
Departmental Technical Reports (CS)
When we design a road, we would like to check that the current design provides the pavement with sufficient stiffness to withstand traffic loads and climatic conditions. For this purpose, we need to estimate the stiffness of the road based on stiffness and thickness of its different layers. There exists a semi-empirical formula for this estimation. In this paper, we show that this formula can be explained by natural scale-invariance requirements.
How The Proportion Of People Who Agree To Perform A Task Depends On The Stimulus: A Theoretical Explanation Of The Empirical Formula,
2020
The University of Texas at El Paso
How The Proportion Of People Who Agree To Perform A Task Depends On The Stimulus: A Theoretical Explanation Of The Empirical Formula, Laxman Bokati, Vladik Kreinovich, Doan Thanh Ha
Departmental Technical Reports (CS)
For each task, the larger the stimulus, the larger proportion of people agree to perform this task. In many economic situations, it is important to know how much stimulus we need to offer so that a sufficient proportion of the people will agree to perform the needed task. There is an empirical formula describing how this proportion increases as we increase the amount of stimulus. However, this empirical formula lacks a convincing theoretical explanation, as a result of which practitioners are somewhat reluctant to use it. In this paper, we provide a theoretical explanation for this empirical formula, thus making …
Reward For Good Performance Works Better Than Punishment For Mistakes: Economic Explanation,
2020
The University of Texas at El Paso
Reward For Good Performance Works Better Than Punishment For Mistakes: Economic Explanation, Olga Kosheleva, Julio Urenda, Vladik Kreinovich
Departmental Technical Reports (CS)
How should we stimulate people to make them perform better? How should we stimulate students to make them study better? Many experiments have shown that reward for good performance works better than punishment for mistakes. In this paper, we provide a possible theoretical explanation for this empirical fact.
Why Most Empirical Distributions Are Few-Modal,
2020
The University of Texas at El Paso
Why Most Empirical Distributions Are Few-Modal, Julio Urenda, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
In principle, any non-negative function can serve as a probability density function -- provided that it adds up to 1. All kinds of processes are possible, so it seems reasonable to expect that observed probability density functions are random with respect to some appropriate probability measure on the set of all such functions -- and for all such measures, similarly to the simplest case of random walk, almost all functions have infinitely many local maxima and minima. However, in practice, most empirical distributions have only a few local maxima and minima -- often one (unimodal distribution), sometimes two (bimodal), and, …
Economics Of Reciprocity And Temptation,
2020
The University of Texas at El Paso
Economics Of Reciprocity And Temptation, Laxman Bokati, Olga Kosheleva, Vladik Kreinovich, Nguyen Ngoc Thach
Departmental Technical Reports (CS)
Behavioral economics has shown that in many situations, people's behavior differs from what is predicted by simple traditional utility-maximization economic models. It is therefore desirable to be able to accurately describe people's actual behavior. In some cases, the difference from the traditional models is caused by bounded rationality -- our limited ability to process information and to come up with a truly optimal solutions. In such cases, predicting people's behavior is difficult. In other cases, however, people actually optimize -- but the actual expression for utility is more complicated than in the traditional models. In such case, it is, in …
Hydrodynamic Instability Simulations Using Front-Tracking With Higher-Order Splitting Methods,
2020
University of Arkansas, Fayetteville
Hydrodynamic Instability Simulations Using Front-Tracking With Higher-Order Splitting Methods, Dillon Trinh
Mathematical Sciences Undergraduate Honors Theses
The Rayleigh-Taylor Instability (RTI) is an instability that occurs at the interface of a lighter density fluid pushing onto a higher density fluid in constant or time-dependent accelerations. The Richtmyer-Meshkov Instability (RMI) occurs when two fluids of different densities are separated by a perturbed interface that is accelerated impulsively, usually by a shock wave. When the shock wave is applied, the less dense fluid will penetrate the denser fluid, forming a characteristic bubble feature in the displacement of the fluid. The displacement will initially obey a linear growth model, but as time progresses, a nonlinear model is required. Numerical studies …
Control Of Secondary Extinctions In Stochastic Food Webs,
2020
Montclair State University
Control Of Secondary Extinctions In Stochastic Food Webs, Dunia M. Fernandez
Theses, Dissertations and Culminating Projects
Studies on both model-based and empirical food webs have shown that per- turbations to an ecological community can cause a species to go extinct, often resulting in the loss of additional species in a cascade of secondary extinctions. These eects can seriously debilitate a food web and threaten the existence of an ecosystem. Here, we consider niche model-based food webs with internal noise and investigate the eects of a control on a secondary extinction cas- cade triggered by a noise-induced extinction. We show that the forced removal of a nonbasal species immediately after a primary extinction can extend the mean …
