Deep Learning With Physics Informed Neural Networks For The Airborne Spread Of Covid-19 In Enclosed Spaces, 2020 George Mason University

#### Deep Learning With Physics Informed Neural Networks For The Airborne Spread Of Covid-19 In Enclosed Spaces, Udbhav Muthakana, Padmanabhan Seshaiyer, Maziar Raissi, Long Nguyen

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Mathematical Modelling Of Temperature Effects On The Afd Neuron Of Caenorhabditis Elegans, 2020 Illinois State University

#### Mathematical Modelling Of Temperature Effects On The Afd Neuron Of Caenorhabditis Elegans, Zachary Mobille, Rosangela Follmann, Epaminondas Rosa

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

In Silico Modelling For The Treatment Of Gastric Cancer, 2020 Tijuana Institute of Technology, Mexico

#### In Silico Modelling For The Treatment Of Gastric Cancer, Leonardo F. Martinez, Diana Gamboa, Paul A. Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid-19 Infected Individuals In Tijuana, México, 2020 Tijuana Institute of Technology, México

#### Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid-19 Infected Individuals In Tijuana, México, Karla A. Encinas, Luis N. Coria, Paul A. Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, 2020 University of Central Florida

#### Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, Brian Chau

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Predator-Prey Model With Parasitic Infection Of The Predator, 2020 Illinois State University

#### A Predator-Prey Model With Parasitic Infection Of The Predator, Cole Butler

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Testing The Effect Of Acetaminophen Overdose On The Liver And The Role Of Biomarkers To Predict Death Or Survival, 2020 University of Wisconsin-Whitewater

#### Testing The Effect Of Acetaminophen Overdose On The Liver And The Role Of Biomarkers To Predict Death Or Survival, Christine Brasic

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

From Wave Propagation To Spin Dynamics: Mathematical And Computational Aspects, 2020 University of New Mexico

#### From Wave Propagation To Spin Dynamics: Mathematical And Computational Aspects, Oleksii Beznosov

*Mathematics & Statistics ETDs*

In this work we concentrate on two separate topics which pose certain numerical challenges. The first topic is the spin dynamics of electrons in high-energy circular accelerators. We introduce a stochastic differential equation framework to study spin depolarization and spin equilibrium. This framework allows the mathematical study of known equations and new equations modelling the spin distribution of an electron bunch. A spin distribution is governed by a so-called Bloch equation, which is a linear Fokker-Planck type PDE, in general posed in six dimensions. We propose three approaches to approximate solutions, using analytical and modern numerical techniques. We also present ...

Numerical Simulations Of Nonlinear Waves And Their Stability: Stokes Waves And Nonlinear Schroedinger Equation, 2020 Doctoral Student, Applied Mathematics

#### Numerical Simulations Of Nonlinear Waves And Their Stability: Stokes Waves And Nonlinear Schroedinger Equation, Anastassiya Semenova

*Mathematics & Statistics ETDs*

The present work offers an investigation of dynamics and stability of nonlinear waves in Hamiltonian systems. The first part of the manuscript discusses the classical problem of water waves on the surface of an ideal fluid in 2D. We demonstrate how to construct the Stokes waves, and how to apply a continuation method to find waves in close vicinity to the limiting Stokes wave. We provide new insight into the stability of the Stokes waves by identifying previously inaccessible branches of instability in the equations of motion for the fluid. We provide numerical evidence that pairs of unstable eigenvalues of ...

On The Construction And Mathematical Analysis Of The Wavelet Transform And Its Matricial Properties, 2020 Universidad Mayor de San Simón

#### On The Construction And Mathematical Analysis Of The Wavelet Transform And Its Matricial Properties, Diego Sejas Viscarra

*Rose-Hulman Undergraduate Mathematics Journal*

We study the properties of computational methods for the Wavelet Transform and its Inverse from the point of view of Linear Algebra. We present a characterization of such methods as matrix products, proving in particular that each iteration corresponds to the multiplication of an adequate unitary matrix. From that point we prove that some important properties of the Continuous Wavelet Transform, such as linearity, distributivity over matrix multiplication, isometry, etc., are inherited by these discrete methods.

This work is divided into four sections. The first section corresponds to the classical theoretical foundation of harmonic analysis with wavelets; it is used ...

Dna Self-Assembly Design For Gear Graphs, 2020 Converse College

#### Dna Self-Assembly Design For Gear Graphs, Chiara Mattamira

*Rose-Hulman Undergraduate Mathematics Journal*

Application of graph theory to the well-known complementary properties of DNA strands has resulted in new insights about more efficient ways to form DNA nanostructures, which have been discovered as useful tools for drug delivery, biomolecular computing, and biosensors. The key concept underlying DNA nanotechnology is the formation of complete DNA complexes out of a given collection of branched junction molecules. These molecules can be modeled in the abstract as portions of graphs made up of vertices and half-edges, where complete edges are representations of double-stranded DNA pieces that have joined together. For efficiency, one aim is to minimize the ...

Hamming Codes, 2020 University of Washington, Tacoma

#### Hamming Codes, Steve Mwangi, Sterling Quinn

*Access*: Interdisciplinary Journal of Student Research and Scholarship*

We will be looking into the application of Matrix Algebra in forming Hamming Codes. Hamming Codes are essential not just in the detection of errors, but also in the linear concurrent correction of these errors. The matrices we will use, will have entries that are binary units. Binary units are mathematically convenient, and their simplicity permits the representation of many open and closed circuits used in communication systems. The entries in the matrices will represent a message that is meant for transmission or reception, akin to the contemporary application of Hamming Codes in wireless communication. We will use Hamming (7 ...

Applying The Data: Predictive Analytics In Sport, 2020 University of Washington, Tacoma

#### Applying The Data: Predictive Analytics In Sport, Anthony Teeter, Margo Bergman

*Access*: Interdisciplinary Journal of Student Research and Scholarship*

The history of wagering predictions and their impact on wide reaching disciplines such as statistics and economics dates to at least the 1700’s, if not before. Predicting the outcomes of sports is a multibillion-dollar business that capitalizes on these tools but is in constant development with the addition of big data analytics methods. Sportsline.com, a popular website for fantasy sports leagues, provides odds predictions in multiple sports, produces proprietary computer models of both winning and losing teams, and provides specific point estimates. To test likely candidates for inclusion in these prediction algorithms, the authors developed a computer model ...

The Optimum Maximum Allowed Displacement In Monte Carlo Simulation Of One-Component Plasma, 2020 Arab American University

#### The Optimum Maximum Allowed Displacement In Monte Carlo Simulation Of One-Component Plasma, Iyad Suwan

*Journal of the Arab American University مجلة الجامعة العربية الامريكية للبحوث*

In this paper, a periodic One-Component Plasma (OCP) system of N-point particles is simulated by Monte Carlo (MC) technique in three dimensions. Because of the long range nature of the Coulomb potential, no cut-off distance is considered in calculations (i.e, for each particle i, the effect of the other N-1 particles on i, is taken into account). The maximum allowed displacement "dmax" used in MC simulation controls the convergence to the equilibrium state of the system. An optimum maximum allowed displacement, O-dmax, is found and is given by a function of the temperature and the density of the system ...

The Optimum Maximum Allowed Displacement In Monte Carlo Simulation Of Lennard-Jones Potential Point Particles, 2020 Arab American University

#### The Optimum Maximum Allowed Displacement In Monte Carlo Simulation Of Lennard-Jones Potential Point Particles, Iyad Suwan

*Journal of the Arab American University مجلة الجامعة العربية الامريكية للبحوث*

In this paper, periodic systems of N point particles with Lennard-Jones potential are simulated in three dimensional space using Monte Carlo technique. The maximum allowed displacement used in Monte Carlo simulation of any N-particle system controls the convergence of the calculated potential energy to its physical situation. The optimum maximum allowed displacement associated with 50% acceptance rate is found. Since Lennard-Jones potential is a short range one, it is considered to be zero beyond some cut-off radius. The optimum dimensionless cut-off radius in the Lennard-Jones case is 2.5, which is used in simulations. An explicit mathematical formula for the ...

Controlling Aircraft Yaw Movement By Interval Type-2 Fuzzy Logic, 2020 University of Technology, Iraq

#### Controlling Aircraft Yaw Movement By Interval Type-2 Fuzzy Logic, Yamama Shafeek, Laith Majeed, Rasha Naji

*Emirates Journal for Engineering Research*

Aircraft yaw movement is essential in maneuvering; it has been controlled by some methods which achieved tracking but not fast enough. This paper performs the dynamic modeling of aircraft yaw movement and develops PI and PI-like interval type-2 fuzzy logic controller for the model. The mathematical model is derived by inserting the parameters values of single-engine Navion aircraft into standard equations. Using Matlab/ Simulink platform, the controllers' effectivity is tested and verified in two different cases; system without disturbance and when system is disturbed by some wind gust to investigate the system robustness. Simulation results show that PI controller response ...

A Phase-Field Approach To Diffusion-Driven Fracture, 2020 Louisiana State University and Agricultural and Mechanical College

#### A Phase-Field Approach To Diffusion-Driven Fracture, Friedrich Wilhelm Alexander Dunkel

*LSU Doctoral Dissertations*

In recent years applied mathematicians have used modern analysis to develop variational phase-field models of fracture based on Griffith's theory. These variational phase-field models of fracture have gained popularity due to their ability to predict the crack path and handle crack nucleation and branching.

In this work, we are interested in coupled problems where a diffusion process drives the crack propagation. We extend the variational phase-field model of fracture to account for diffusion-driving fracture and study the convergence of minimizers using gamma-convergence. We will introduce Newton's method for the constrained optimization problem and present an algorithm to solve ...

Analytical And Computational Modelling Of The Ranque-Hilsch Vortex Tube, 2020 The University of Western Ontario

#### Analytical And Computational Modelling Of The Ranque-Hilsch Vortex Tube, Nolan J. Dyck

*Electronic Thesis and Dissertation Repository*

The Ranque-Hilsch vortex tube (RHVT) is a simple mechanical device with no moving parts capable of separating a supply of compressed fluid into hot and cold streams through a process called temperature separation. The overall aim is to develop models which can be used to assess the temperature separation mechanisms in the RHVT, leading to a better overall understanding of the underlying physics. The introductory chapter contains a thermodynamic analysis and introduction to the flow physics, alongside three miniature literature reviews and critiques identifying research gaps.

The body of the thesis contains three articles. The first article studies the flow ...

Exploring The Potential Of Sparse Coding For Machine Learning, 2020 Portland State University

#### Exploring The Potential Of Sparse Coding For Machine Learning, Sheng Yang Lundquist

*Dissertations and Theses*

While deep learning has proven to be successful for various tasks in the field of computer vision, there are several limitations of deep-learning models when compared to human performance. Specifically, human vision is largely robust to noise and distortions, whereas deep learning performance tends to be brittle to modifications of test images, including being susceptible to adversarial examples. Additionally, deep-learning methods typically require very large collections of training examples for good performance on a task, whereas humans can learn to perform the same task with a much smaller number of training examples.

In this dissertation, I investigate whether the use ...

Dupin Submanifolds In Lie Sphere Geometry (Updated Version), 2020 College of the Holy Cross

#### Dupin Submanifolds In Lie Sphere Geometry (Updated Version), Thomas E. Cecil, Shiing-Shen Chern

*Mathematics Department Faculty Scholarship*

A hypersurface ** M^{n-1}** in Euclidean space

*is proper Dupin if the number of distinct principal curvatures is constant on*

**E**^{n}**, and each principal curvature function is constant along each leaf of its principal foliation. This paper was originally published in 1989 (see Comments below), and it develops a method for the local study of proper Dupin hypersurfaces in the context of Lie sphere geometry using moving frames. This method has been effective in obtaining several classification theorems of proper Dupin hypersurfaces since that time. This updated version of the paper contains the original exposition together with ...**

*M*^{n-1}