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Applied Mathematics

2024

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Articles 1 - 30 of 119

Full-Text Articles in Physical Sciences and Mathematics

Hitch Cart “Landing Gear”, Rebekah White, Jose Raygoza, Randy Hernandez, Brandon Leon Dec 2024

Hitch Cart “Landing Gear”, Rebekah White, Jose Raygoza, Randy Hernandez, Brandon Leon

Mechanical Engineering

This report aims to allow our sponsor, to review our design process of the Hitch Cart Landing Gear Prototype. In the design overview section of this report, we discuss the primary design modifications we made to the wheel mechanism of the existing hitch cart prototype, including the addition of the ACME screws and the folding brackets. This allows our sponsor to see the intended improvements made to the past prototype and understand the primary goal of our project. Then, in the implementation section, we cover the entire manufacturing process to allow our sponsor to understand what manufacturing steps must be …


On Weak Solutions And The Navier-Stokes Equations, Aryan Prabhudesai Aug 2024

On Weak Solutions And The Navier-Stokes Equations, Aryan Prabhudesai

Mathematical Sciences Undergraduate Honors Theses

In this paper, I will discuss a partial differential equation that has solutions that are discontinuous. This example motivates the need for distribution theory, which will provide an interpretation of what it means for a discontinuous function to be a “solution” to a PDE. Then I will give a detailed foundation of distributions, including the definition of the derivative of a distribution. Then I will introduce and give background on the Navier-Stokes equations. Following that, I will explain the Millennium Problem concerning global regularity for the Navier-Stokes equations and share mathematical results regarding weak solutions. Finally, I will go over …


(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, Alphonsa George, Dais George Jun 2024

(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, Alphonsa George, Dais George

Applications and Applied Mathematics: An International Journal (AAM)

In this article, we introduce a new member of the Poisson-X family namely, the Poisson-exponentiated Weibull distribution. The statistical as well as the distributional properties of the new distribution are studied, and the performance of the maximum likelihood method of estimation is verified by a simulation study. The flexibility of the distribution is illustrated by a real data set. We develop and study a reliability test plan for the acceptance or rejection of a lot of products submitted for inspection when their lifetimes follow the new distribution. A real data example is also given to illustrate the feasibility of the …


Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, Mubashir Qayyum, Muhammad Faisal, Naveed Imran May 2024

Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, Mubashir Qayyum, Muhammad Faisal, Naveed Imran

International Journal of Emerging Multidisciplinaries: Mathematics

In this manuscript a hybrid of optimal homotopy asymptotic method (OHAM) with Daftardar - Jafari (DJ) polynomials has been introduced for time dependent KdV family of equations. Proposed methodology is applied to (1+1) and (2+1) soliton KdV equations and results are compared with classical OHAM. Analysis reveals that proposed modification is an effective way of getting better accuracy with less computational cost, and can be applied to more complex phenomena.


Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif May 2024

Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif

Biology and Medicine Through Mathematics Conference

No abstract provided.


Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey May 2024

Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey

Biology and Medicine Through Mathematics Conference

No abstract provided.


Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, Helen Harris, David Petrulis, Lauren Trepp, Bryan Chong, Jillian Haas, David Chan, Laura Ellwein Fix May 2024

Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, Helen Harris, David Petrulis, Lauren Trepp, Bryan Chong, Jillian Haas, David Chan, Laura Ellwein Fix

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Model Of Oocyte Population Dynamics For Fish Oogenesis, Louis Fostier, Frédérique Clément, Romain Yvinec, Violette Thermes May 2024

A Model Of Oocyte Population Dynamics For Fish Oogenesis, Louis Fostier, Frédérique Clément, Romain Yvinec, Violette Thermes

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile May 2024

Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile

Biology and Medicine Through Mathematics Conference

No abstract provided.


Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith May 2024

Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene May 2024

Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene

Biology and Medicine Through Mathematics Conference

No abstract provided.


Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney May 2024

Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney

Biology and Medicine Through Mathematics Conference

No abstract provided.


Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem May 2024

Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem

Biology and Medicine Through Mathematics Conference

No abstract provided.


Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli May 2024

Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli

Biology and Medicine Through Mathematics Conference

No abstract provided.


Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel May 2024

Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel

Biology and Medicine Through Mathematics Conference

No abstract provided.


Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi May 2024

Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi

Biology and Medicine Through Mathematics Conference

No abstract provided.


Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon May 2024

Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel May 2024

A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel

Biology and Medicine Through Mathematics Conference

No abstract provided.


Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott May 2024

Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott

Biology and Medicine Through Mathematics Conference

No abstract provided.


Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields May 2024

Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields

Biology and Medicine Through Mathematics Conference

No abstract provided.


Sperm-Egg Interaction For Fertilization Success, Prajakta P. Bedekar May 2024

Sperm-Egg Interaction For Fertilization Success, Prajakta P. Bedekar

Biology and Medicine Through Mathematics Conference

No abstract provided.


Incorporating Awareness, Misinformation And Optimal Control In A Model Of Sars-Cov-2, Eric Numfor May 2024

Incorporating Awareness, Misinformation And Optimal Control In A Model Of Sars-Cov-2, Eric Numfor

Biology and Medicine Through Mathematics Conference

No abstract provided.


Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr May 2024

Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott May 2024

Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott

Biology and Medicine Through Mathematics Conference

No abstract provided.


Constructible Sandwich Cut, Philip A. Son May 2024

Constructible Sandwich Cut, Philip A. Son

FIU Undergraduate Research Journal

In mathematical measure theory, the “Ham-Sandwich” theorem states that any n objects in an n-dimensional Euclidean space can be simultaneously divided in half with a single cut by an (n-1)-dimensional hyperplane. While it guarantees its existence, the theorem does not provide a way of finding this halving hyperplane, as it is only an existence result. In this paper, we look at the problem in dimension 2, more in the style of Euclid and the antique Greeks, that is from a constructible point of view, with straight edge and compass. For two arbitrary regions in the plane, there is certainly no …


Effect Of Recommending Users And Opinions On The Network Connectivity And Idea Generation Process, Sriniwas Pandey, Hiroki Sayama May 2024

Effect Of Recommending Users And Opinions On The Network Connectivity And Idea Generation Process, Sriniwas Pandey, Hiroki Sayama

Northeast Journal of Complex Systems (NEJCS)

The growing reliance on online services underscores the crucial role of recommendation systems, especially on social media platforms seeking increased user engagement. This study investigates how recommendation systems influence the impact of personal behavioral traits on social network dynamics. It explores the interplay between homophily, users’ openness to novel ideas, and recommendation-driven exposure to new opinions. Additionally, the research examines the impact of recommendation systems on the diversity of newly generated ideas, shedding light on the challenges and opportunities in designing effective systems that balance the exploration of new ideas with the risk of reinforcing biases or filtering valuable, unconventional …


Analytical And Numerical Analysis Of The Sirs Model, Catherine Nguyen May 2024

Analytical And Numerical Analysis Of The Sirs Model, Catherine Nguyen

Student Research Submissions

Mathematical models in epidemiology describe how diseases affect and spread within a population. By understanding the trends of a disease, more effective public health policies can be made. In this paper, the Susceptible-Infected-Recovered-Susceptible (SIRS) Model was examined analytically and numerically to compare with the data for Coronavirus Disease 2019 (COVID-19). Since the SIRS model is a complex model, analytical techniques were used to solve simplified versions of the SIRS model in order to understand general trends that occur. Then by Euler's Method, the Runge-Kutta Method, and the Predictor-Corrector Method, computational approximations were obtained to solve and plot the SIRS model. …


Entropy Analysis For Three-Dimensional Stretched Flow Of Viscous Fluid Engaging Radiation Effect And Double Diffusion Phenomenon, Syed Tehseen Abbas, Muhammad Sohail, Imran Haider May 2024

Entropy Analysis For Three-Dimensional Stretched Flow Of Viscous Fluid Engaging Radiation Effect And Double Diffusion Phenomenon, Syed Tehseen Abbas, Muhammad Sohail, Imran Haider

International Journal of Emerging Multidisciplinaries: Mathematics

A useful technique for comprehending the thermodynamic behavior of fluid flows is entropy analysis. In this paper, we explore the involvement and transfer of entropy in a stretched three-dimensional flow of a viscous fluid. The flow is presumed to be both laminar and incompressible, whereas the properties of the fluid are considered to be unchanged. The governing equations: continuity; momentum; and energy equations; are calculated using the necessary boundary conditions. Considering the acquired velocity and temperature profiles, the entropy generation rate and fluxes are calculated. The results demonstrate that entropy production is significantly influenced by the flow's stretching rate. Through …


Identifying Transitions In Plasma With Topological Data Analysis Of Noisy Turbulence, Julius Kiewel May 2024

Identifying Transitions In Plasma With Topological Data Analysis Of Noisy Turbulence, Julius Kiewel

Undergraduate Honors Theses

Cross-field transport and heat loss in a magnetically confined plasma is determined by turbulence driven by perpendicular (to the magnetic field) pressure gradients. The heat losses from turbulence can make it difficult to maintain the energy density required to reach and maintain the conditions necessary for fusion. Self-organization of turbulence into intermediate scale so-called zonal flows can reduce the radial heat losses, however identifying when the transition occurs and any precursors to the transition is still a challenge. Topological Data Analysis (TDA) is a mathematical method which is used to extract topological features from point cloud and digital data to …


Mathematical Modeling And Examination Into Existing And Emerging Parkinson’S Disease Treatments: Levodopa And Ketamine, Gabrielle Riddlemoser May 2024

Mathematical Modeling And Examination Into Existing And Emerging Parkinson’S Disease Treatments: Levodopa And Ketamine, Gabrielle Riddlemoser

Undergraduate Honors Theses

Parkinson’s disease (PD) is the second most common neurodegenerative disease across the world, affecting over 6 million people worldwide. This disorder is characterized by the progressive loss of dopaminergic neurons within the substantia nigra pars compacta (SNpc) due to the aggregation of α-synuclein within the brain. Patients with PD develop motor symptoms such as tremors, bradykinesia, and postural instability, as well as a host of non-motor symptoms such as behavioral changes, sleep difficulties, and fatigue. The reduction of dopamine within the brain is the primary cause of these symptoms. The main form of treatment for PD is levodopa, a precursor …