Classification Of Pixel Tracks To Improve Track Reconstruction From Proton-Proton Collisions, 2022 Southern Methodist University

#### Classification Of Pixel Tracks To Improve Track Reconstruction From Proton-Proton Collisions, Kebur Fantahun, Jobin Joseph, Halle Purdom, Nibhrat Lohia

*SMU Data Science Review*

In this paper, machine learning techniques are used to reconstruct particle collision pathways. CERN (Conseil européen pour la recherche nucléaire) uses a massive underground particle collider, called the Large Hadron Collider or LHC, to produce particle collisions at extremely high speeds. There are several layers of detectors in the collider that track the pathways of particles as they collide. The data produced from collisions contains an extraneous amount of background noise, i.e., decays from known particle collisions produce fake signal. Particularly, in the first layer of the detector, the pixel tracker, there is an overwhelming amount of background noise ...

The Effect Of Habitat Fragmentation On Plant Communities In A Spatially-Implicit Grassland Model, 2022 Carleton College

#### The Effect Of Habitat Fragmentation On Plant Communities In A Spatially-Implicit Grassland Model, Mika T. Cooney, Benjamin R. Hafner, Shelby E. Johnson, Sean Lee

*Rose-Hulman Undergraduate Mathematics Journal*

The spatially implicit Tilman-Levins ODE model helps to explain why so many plant species can coexist in grassland communities. This now-classic modeling framework assumes a trade-off between colonization and competition traits and predicts that habitat destruction can lead to long transient declines called ``extinction debts.'' Despite its strengths, the Tilman-Levins model does not explicitly account for landscape scale or the spatial configuration of viable habitat, two factors that may be decisive for population viability. We propose modifications to the model that explicitly capture habitat geometry and the spatial pattern of seed dispersal. The modified model retains implicit space and is ...

Entropy Analysis Of Sutterby Nanofluid Flow Over A Riga Sheet With Gyrotactic Microorganisms And Cattaneo–Christov Double Diffusion, 2022 The British University in Egypt

#### Entropy Analysis Of Sutterby Nanofluid Flow Over A Riga Sheet With Gyrotactic Microorganisms And Cattaneo–Christov Double Diffusion, M. Faizan, F. Ali, K. Loganathan, A. Zaib, C. A. Reddy, Sara I. Abdelsalam

*Basic Science Engineering*

In this article, a Riga plate is exhibited with an electric magnetization actuator consisting of permanent magnets and electrodes assembled alternatively. This exhibition produces electromagnetic hydrodynamic phenomena over a fluid flow. A new study model is formed with the Sutterby nanofluid flow through the Riga plate, which is crucial to the structure of several industrial and entering advancements, including thermal nuclear reactors, flow metres and nuclear reactor design. This article addresses the entropy analysis of Sutterby nanofluid flow over the Riga plate. The Cattaneo–Christov heat and mass flux were used to examine the behaviour of heat and mass relaxation ...

Stochastic Modeling Of Flows In Membrane Pore Networks, 2022 New Jersey Institute of Technology

#### Stochastic Modeling Of Flows In Membrane Pore Networks, Binan Gu

*Dissertations*

Membrane filters provide immediate solutions to many urgent problems such as water purification, and effective remedies to pressing environmental concerns such as waste and air treatment. The ubiquity of applications gives rise to a significant amount of research in membrane material selection and structural design to optimize filter efficiency. As physical experiments tend to be costly, numerical simulation and analysis of fluid flow, foulant transport and geometric evolution due to foulant deposition in complex geometries become particularly relevant. In this dissertation, several mathematical modeling and analytical aspects of the industrial membrane filtration process are investigated. A first-principles mathematical model for ...

Balancing Populations Of Electoral Districts, 2022 University of Puget Sound

#### Balancing Populations Of Electoral Districts, Ethan Stern-Ellis

*The Commons: Puget Sound Journal of Politics*

No abstract provided.

The Commons: Volume 3, Issue 1, 2022 University of Puget Sound

#### The Commons: Volume 3, Issue 1, Kris Bohnenstiehl, Leona Derango, Ethan Stern-Ellis

*The Commons: Puget Sound Journal of Politics*

Table of Contents

- Letter From the Editors

LILA BERNARDIN AND HANNAH WILLIAMS - Who Sent the Devil Down to Georgia?

KRIS BOHNENSTIEHL - The Dehumanizing Gaze: Race in the Context of Academic Tourism

LEONA DERANGO - Balancing Populations of Electoral Districts

ETHAN STERN-ELLIS

The Role Of Surprise In Guessing Games, 2022 Bridgewater State University

#### The Role Of Surprise In Guessing Games, Justin Carpender

*Honors Program Theses and Projects*

In this thesis we will study the connection between game structure, surprise, and guessing strategies for these first two versions of a word guessing game. Our analysis will have three levels: one, a basic understanding of language and letter probabilities and the creation of programs that seek to use the structure of a game to efficiently guess words; two, an introduction of mathematical background and Information Theory; three, an analysis of the games and their corresponding guesses via a creative use of the key ideas of Information Theory, particularly, the concepts of surprise and entropy.

Vertex-Magic Total Labeling On G-Sun Graphs, 2022 Bridgewater State University

#### Vertex-Magic Total Labeling On G-Sun Graphs, Melissa Mejia

*Honors Program Theses and Projects*

Graph labeling is an immense area of research in mathematics, specifically graph theory. There are many types of graph labelings such as harmonious, magic, and lucky labelings. This paper will focus on magic labelings. Graph theorists are particularly interested in magic labelings because of a simple problem regarding tree graphs introduced in the 1990’s. The problem is still unsolved after almost thirty years. Researchers have studied magic labelings on other graphs in addition to tree graphs. In this paper we will consider vertex-magic labelings on G-sun graphs. We will give vertex-magic total labelings for ladder sun graphs and complete ...

The Foundations Of Mathematics: Axiomatic Systems And Incredible Infinities, 2022 Bridgewater State University

#### The Foundations Of Mathematics: Axiomatic Systems And Incredible Infinities, Catherine Ferris

*Honors Program Theses and Projects*

Often, people who study mathematics learn theorems to prove results in and about the vast array of branches of mathematics (Algebra, Analysis, Topology, Geometry, Combinatorics, etc.). This helps them move forward in their understanding; but few ever question the basis for these theorems or whether those foundations are sucient or even secure. Theorems come from our foundations of mathematics, Axioms, Logic and Set Theory. In the early20th century, mathematicians set out to formalize the methods, operations and techniques people were assuming. In other words, they were formulating axioms. The most common axiomatic system is known as the Zermelo-Fraenkel axioms with ...

Vertex-Magic Graphs, 2022 Bridgewater State University

#### Vertex-Magic Graphs, Karissa Massud

*Honors Program Theses and Projects*

In this paper, we will study magic labelings. Magic labelings were first introduced by Sedláček in 1963 [3]. At this time, the labels on the graph were only assigned to the edges. In 1970, Kotzig and Rosa defined what are now known as edge-magic total labelings, where both the vertices and the edges of the graph are labeled. Following this in 1999, MacDougall, Miller, Slamin, and Wallis introduced the idea of vertex-magic total labelings. There are many different types of magic labelings. In this paper will focus on vertex-magictotal labelings.

Data Engineering Techniques And Designs With Music Generating Neural Networks, 2022 Bridgewater State University

#### Data Engineering Techniques And Designs With Music Generating Neural Networks, Noah Solomon

*Honors Program Theses and Projects*

The generation of music artificially is an interesting concept to many and has received a lot of attention in recent years. The advancement of neural networks has allowed for the creation of models that can seemingly generate music creatively to mimic a specific genre or composer. This project delved deep into the many ways to construct music generating neural networks and compared different model architectures and data engineering techniques. Three main types of models were implemented and the resulting generated music was evaluated with respect to the melody, note agreeableness, and rhythm. These models used the Bach Chorales corpus as ...

Spectral Analysis Of Multiscale Cultural Traits On Twitter, 2022 MIT

#### Spectral Analysis Of Multiscale Cultural Traits On Twitter, Chandler Squires, Nikhil Kunapuli, Yaneer Bar-Yam, Alfredo Morales

*Northeast Journal of Complex Systems (NEJCS)*

Understanding and mapping the emergence and boundaries of cultural areas is a challenge for social sciences. In this paper, we present a method for analyzing the cultural composition of regions via Twitter hashtags. Cultures can be described as distinct combination of traits which we capture via principal component analysis (PCA). We investigate the top 8 PCA components of an area including France, Spain, and Portugal, in terms of the geographic distribution of their hashtag composition. We also discuss relationships between components and the insights those relationships can provide into the structure of a cultural space. Finally, we compare the spatial ...

Solving Partial Differential Equations Using The Finite Difference Method And The Fourier Spectral Method, 2022 Western University

#### Solving Partial Differential Equations Using The Finite Difference Method And The Fourier Spectral Method, Jenna Siobhan Parkinson

*Undergraduate Student Research Internships Conference*

This paper discusses the finite difference method and the Fourier spectral method for solving partial differential equations.

Lecture Note On Delay Differential Equation, 2022 Western University

#### Lecture Note On Delay Differential Equation, Wenfeng Liu

*Undergraduate Student Research Internships Conference*

Delay differential equation is an important field in applied mathematics since it concerns more situations than the ordinary differential equation. Moreover, it makes the equations more applicable to the object's movement in real life.

My project is the lecture note on the delay differential equation provides a basic introduction to the delay differential equation, its application in real life, improving the ordinary differential equation, the primary method and definition for solving the delay differential equation and the use of the way in the ordinary differential equation to estimate the periodic solution to the delay differential equation.

Simulating And Modelling Adaptive Walks With The Nk Model, 2022 Western University

#### Simulating And Modelling Adaptive Walks With The Nk Model, Abigail K. Kushnir

*Undergraduate Student Research Internships Conference*

This presentation outlines results obtained by simulating adaptive walks using the NK model. We were interested in how the mutation bias affects the distribution of fitness effects and how we could use our results to form theoretical equations to model the behaviour of a walk. Necessary biological background is also described.

A Kuramoto Model Approach To Predicting Chaotic Systems With Echo State Networks, 2022 Western University

#### A Kuramoto Model Approach To Predicting Chaotic Systems With Echo State Networks, Sophie Wu, Jackson Howe

*Undergraduate Student Research Internships Conference*

An Echo State Network (ESN) with an activation function based on the Kuramoto model (Kuramoto ESN) is implemented, which can successfully predict the logistic map for a non-trivial number of time steps. The reservoir in the prediction stage exhibits binary dynamics when a good prediction is made, but the oscillators in the reservoir display a larger variability in states as the ESN’s prediction becomes worse. Analytical approaches to quantify how the Kuramoto ESN’s dynamics relate to its prediction are explored, as well as how the dynamics of the Kuramoto ESN relate to another widely studied physical model, the ...

Travelling Wave Solutions On A Cylindrical Geometry, 2022 Western University

#### Travelling Wave Solutions On A Cylindrical Geometry, Karnav R. Raval

*Undergraduate Student Research Internships Conference*

Fluid equations are generally quite difficult and computationally-expensive to solve. However, if one is primarily interested in how the surface of the fluid deforms, we can re-formulate the governing equations purely in terms of free surface variables. Reformulating equations in such a way drastically cuts down on computational cost, and may be useful in areas such as modelling blood flow. Here, we study one such free-boundary formulation on a cylindrical geometry.

Lorentzian Polynomials, Higher Hessians, And The Hodge-Riemann Property For Codimension Two Graded Artinian Gorenstein Algebras, 2022 Universidade de Evora

#### Lorentzian Polynomials, Higher Hessians, And The Hodge-Riemann Property For Codimension Two Graded Artinian Gorenstein Algebras, Pedro Macias-Marques, Chris Mcdaniel, Alexandra Seceleanu, Junzo Watanabe

*Faculty Publications, Department of Mathematics*

We study the Hodge-Riemann property (HRP) for graded Artinian Gorenstein (AG) algebras. We classify AG algebras in codimension two that have HRP in terms of higher Hessian matrices and positivity of Schur functions associated to certain rectangular partitions.

In this paper we introduce the Hodge Riemann property (HRP) on an arbitrary graded oriented Artinian Gorenstein (AG) algebra defined over R, and we give a criterion on the higher Hessian matrix of its Macaulay dual generator (Theorem 3.1). AG algebras can be regarded as algebraic analogues of cohomology rings (in even degrees) of complex manifolds, and the HRP is analogous ...

Human Perception Of Exponentially Increasing Data Displayed On A Log Scale Evaluated Through Experimental Graphics Tasks, 2022 University of Nebraska-Lincoln

#### Human Perception Of Exponentially Increasing Data Displayed On A Log Scale Evaluated Through Experimental Graphics Tasks, Emily Robinson

*Dissertations and Theses in Statistics*

Log scales are often used to display data over several orders of magnitude within one graph. We conducted a series of three graphical studies to evaluate the impact displaying data on the log scale has on human perception of exponentially increasing trends compared to displaying data on the linear scale. Each study was related to a different graphical task, each requiring a different level of interaction and cognitive use of the data being presented. The first experiment evaluated whether our ability to perceptually notice differences in exponentially increasing trends is impacted by the choice of scale. Participants were shown a ...

Efficiency Of Homomorphic Encryption Schemes, 2022 Clemson University

#### Efficiency Of Homomorphic Encryption Schemes, Kyle Yates

*All Theses*

In 2009, Craig Gentry introduced the first fully homomorphic encryption scheme using bootstrapping. In the 13 years since, a large amount of research has gone into improving efficiency of homomorphic encryption schemes. This includes implementing leveled homomorphic encryption schemes for practical use, which are schemes that allow for some predetermined amount of additions and multiplications that can be performed on ciphertexts. These leveled schemes have been found to be very efficient in practice. In this thesis, we will discuss the efficiency of various homomorphic encryption schemes. In particular, we will see how to improve sizes of parameter choices in homomorphic ...