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Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute Aug 2026

Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute

Discovery Day - Daytona Beach

Vibration and damping are important considerations in many engineering structures, especially as additive manufacturing becomes more widely used in functional mechanical components. This project investigates how the internal structure of 3D-printed parts affects their vibrational behavior. A series of cantilever beams with identical outer dimensions will be designed and manufactured using a 3D printer with PLA filament, since PLA is one of the most commonly used materials in consumer and prototyping-level additive manufacturing. The study will examine five different infill patterns at three different infill densities, producing multiple beam configurations that vary only in their internal geometry. In addition to …

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Polymer Degradation And Their Environmental Impact, Addison Orr, Vanessa Gilbert Aug 2026

Polymer Degradation And Their Environmental Impact, Addison Orr, Vanessa Gilbert

Discovery Day - Daytona Beach

Synthetic polymer material usage has increased significantly within the last several decades due to their durability, resistance to mechanical wear, low density, and inexpensiveness. Despite these advantages, most synthetic polymers are not biodegradable and instead undergo slow degradation processes. The processes are multifaceted, involving physical, chemical, and biological mechanisms influenced by material properties and environmental conditions, such as soil, light, temperature, and moisture levels. As a result, the polymers break into microplastics and contaminate air, water, and soil, posing risks to human health and surrounding ecosystems. Additionally, polymer degradation can release harmful substances that disrupt food chains and can lead …

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Optimization Of Engine, Jordan Reed, Dev Shah Aug 2026

Optimization Of Engine, Jordan Reed, Dev Shah

Discovery Day - Daytona Beach

A matrix-based framework for modeling and optimizing fluid and gas in feed systems to pressurize for propulsion applications using advanced linear algebra techniques will be used in this project. The governing equations are derived from conservation of mass, momentum, and energy and are formulated in state space form. This enables the system to be expressed as a set of coupled linear differential equations. These equations are assembled into structured system matrices that show the interactions between pressure, flow rate, and component dynamics. This representation allows for numerical implementation and scalability to complex systems with multiple components. System behavior is analyzed …

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Laser-Based Optical Communications For Spacecraft Information Transfer, Ibrahim Arnous Aug 2026

Laser-Based Optical Communications For Spacecraft Information Transfer, Ibrahim Arnous

Discovery Day - Daytona Beach

This course-based, in-progress project explores optical communications as a spacecraft subsystem and examines how light-based systems can be used to transmit information in space. As modern missions demand faster and more efficient data transfer, optical communications have emerged as an important area of interest alongside traditional communication methods. The purpose of this project is to study the role of optical communication in spacecraft design, with attention to its principles, advantages, limitations, and broader relevance to future missions. Using a comparative and research-based approach, the project investigates how these systems function, what engineering challenges they introduce, and why they are becoming …

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Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi Aug 2026

Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi

Discovery Day - Daytona Beach

A seiche oscillation is a standing wave that oscillates in an enclosed body of water, like a lake or pool. Seiches are caused by strong winds, earthquakes, and rapid atmospheric changes. Seiches are an excellent real-world example of damped harmonic motion. The physics of these unique vibrations can actually be modeled using a second-order differential equation for damped oscillators of the general form mx''+cx'+kx=0, where m represents the mass of the vibrating water column, c represents the energy dissipation due to friction and viscosity, and k represents the force governed by gravity and the basin's geometry. The objective of this …

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Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Sharjeel Malik, Justin Della Aug 2026

Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Sharjeel Malik, Justin Della

Discovery Day - Daytona Beach

Combustion instability in liquid rocket engines is driven by coupling acoustic pressure oscillations and unsteady heat release. To achieve specific desired outcomes, small perturbations can be made to either decay or grow, depending on system dynamics and artificial parameters. Using a linearized eigenvalue framework, where eigenvalues determine growth/decay rates and frequencies, and eigenvectors describe spatial mode shapes and couplings between pressure, velocity, and heat release, a mathematical model can be derived to describe said behavior for a cross-section of the rocket engine. The Rayleigh criterion is used to identify conditions under which energy is added to oscillations, while flame transfer …

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Production And Analysis Of Lavender Essential Oil: Extraction, Composition, And Applications, Mary Zoeller Aug 2026

Production And Analysis Of Lavender Essential Oil: Extraction, Composition, And Applications, Mary Zoeller

Discovery Day - Daytona Beach

Steam distillation was performed to extract essential oil from lavender and analyze its chemical composition. Lavender is known to contain several compounds such as linalool, terpinen-4-ol, and linalyl acetate, which contribute to its characteristic aroma and biological activity. The purpose of this experiment was to isolate these compounds without decomposition and identify them using gas chromatography–mass spectrometry (GC-MS). Approximately 14.851 g of lavender was heated with water to generate steam, which carried the volatile compounds into a condenser where the vapor was cooled and collected. The distillate was transferred to a separatory funnel to isolate the organic layer from the …

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Navier Stokes Pressure Drop Derivation, Brayden Benedetti, Gedaliah Dimbert, Jaden Turobiner Aug 2026

Navier Stokes Pressure Drop Derivation, Brayden Benedetti, Gedaliah Dimbert, Jaden Turobiner

Discovery Day - Daytona Beach

Accurate prediction of pressure losses in propellant and fluid feed systems is essential for reliable design and operation of aerospace and industrial flow networks. This project presents a systematic derivation of a practical pressure drop calculator for a feed system using isopropyl alcohol, beginning from the fundamental conservation laws and culminating in an engineering-level computational model. Starting with the differential form of the Navier–Stokes equations for incompressible flow, the governing equations are simplified through a series of physically justified assumptions, including steady-state flow, negligible body forces, and fully developed internal flow within circular piping. The resulting momentum balance is reduced …

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Bridging Discrete And Continuous Systems: Fibonacci Sequences And Exponential Growth From Odes, Martyna Wojcik Aug 2026

Bridging Discrete And Continuous Systems: Fibonacci Sequences And Exponential Growth From Odes, Martyna Wojcik

Discovery Day - Daytona Beach

Bridging Discrete and Continuous Systems: Fibonacci Sequences and Exponential Growth from Ordinary Differential Equations       It has been observed that nature often exhibits specific patterns of growth and structure in biological systems and spiral formations. The Fibonacci sequence, defined as a discrete recursive sequence where each term is generated as the sum of the two preceding terms, “has been applied extensively to understand some natural phenomena” (Pakdemirli, 2023). In contrast, exponential growth describes a continuous process in which the rate of change of a quantity is proportional to its current value. Such behavior is modeled using differential equations that “produce solutions …

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Application Of Navier Stokes In Cfd, Hayden Kerkhoff, Gavin Palmer, Garret Seckinger Aug 2026

Application Of Navier Stokes In Cfd, Hayden Kerkhoff, Gavin Palmer, Garret Seckinger

Discovery Day - Daytona Beach

This project investigates the use of 2-Dimensional Computational Fluid Dynamics (CFD) to analyze aerodynamic behavior, then compare data with the numerical solution of the Navier–Stokes equations run by MATLAB. By leveraging open‑source and possible industry CFD platforms—including OpenFOAM and commercial solvers such as ANSYS Fluent and Inventor Professional—the study evaluates how computational methods simulate, optimize, and predict key aerodynamic quantities such as lift, drag, stall angle, and Reynolds number.   The project focuses on modeling an airflow over specific parameters, such as different angles of attacks and ISA Atmospheric Conditions. Parametric variations in density, angle of attack, chord length, and temperature …

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Cavitation In Pumps And Propellers: Causes, Effects, Prevention, And Future Trends, Gillian Negron Burgos, Olivia Wilson Aug 2026

Cavitation In Pumps And Propellers: Causes, Effects, Prevention, And Future Trends, Gillian Negron Burgos, Olivia Wilson

Discovery Day - Daytona Beach

In this research, we will explore cavitation in pumps and propellers, including its causes, effects on system performance, prevention methods, and future engineering solutions. Cavitation occurs when the local pressure of a flowing liquid drops below its vapor pressure, forming vapor-filled bubbles that collapse and damage mechanical components. Disciplines such as fluid mechanics, thermodynamics, and materials science contribute to understanding and mitigating cavitation in fluid machinery.   When vapor bubbles collapse near metal surfaces, they generate localized shock waves that cause pitting, erosion, vibration, and noise. These effects reduce efficiency, increase maintenance requirements, and shorten the lifespan of rotating machinery used …

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Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal Aug 2026

Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal

Discovery Day - Daytona Beach

Mechanical vibrations occur in many engineering systems and can be described using second-order differential equations. In this project, the motion of vibrating systems is studied using the mass–spring model. The focus is on three types of oscillations: free vibrations, dampened vibrations, and forced oscillations. Free vibration describes how a system moves when it is displaced and then released without any external force. Damped vibration includes effects such as friction or resistance that cause the motion to gradually decrease over time. Forced oscillations occur when an external force acts on the system and continuously drives the motion. This project also examines …

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Numerical Modeling Of Badminton Shuttlecock Trajectories, Lola G. Torres, Cassandra Pumphrey, Jadyn Peterson, Domenic Barsotti Aug 2026

Numerical Modeling Of Badminton Shuttlecock Trajectories, Lola G. Torres, Cassandra Pumphrey, Jadyn Peterson, Domenic Barsotti

Discovery Day - Daytona Beach

The Trajectory of a badminton Shuttlecock can vary significantly when compared to a classic projectile motion, primarily due to aerodynamic drag. This project aims to model the flight of the shuttlecock using Newton's second law for gravitational and drag related forces, resulting in a nonlinear system of a first order differential equation. The given parameters include the shuttlecock mass, cross-sectional area, air density, as well as the drag coefficient, determining the overall magnitude of the drag force. The resulting initial value problem is solved numerically using a multitude of Runge_Kutta methods to compare the accuracy and stability across different computational …

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The Electric Crackdown: Exploring The Human Factors Impacts Of Controls & Displays In Evs Across The Market, Rae Okada, Robin Hanen, Liam Brennan Aug 2026

The Electric Crackdown: Exploring The Human Factors Impacts Of Controls & Displays In Evs Across The Market, Rae Okada, Robin Hanen, Liam Brennan

Discovery Day - Daytona Beach

Title: The Electric Crackdown: Exploring the Human Factors Impacts of Controls & Displays in Electric Vehicles Across the Market   Despite a global adoption of electric vehicles (EVs) with partial driving automation (i.e., advanced driver assistance systems; ADAS), differences exist at societal (i.e., legislation, regulation), individual (i.e., use of), and system (i.e., vehicle-to-vehicle) levels surrounding these vehicles. While these former societal divergences can be considered based on the: (1) mechanisms promoting or limiting EV adoption, (2) number of EVs on the road, and (3) respective incident reports; system differences require investigation for each vehicle based on its make and model. In …

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Motion With Air Resistance, Gauge Mccain, Jacob Bealefeld, Francesca Wise Aug 2026

Motion With Air Resistance, Gauge Mccain, Jacob Bealefeld, Francesca Wise

Discovery Day - Daytona Beach

The motion of objects moving through air is influenced not only by gravity but also by air resistance, which affects the speed and acceleration of the object over time. This project examines the motion of a falling object by modeling it with an ordinary differential equation that accounts for both gravitational force and a resistive drag force proportional to velocity. Using Newton’s Second Law, a first-order differential equation is derived to describe how the velocity of the object changes as it falls. The solution of this equation demonstrates how the velocity increases initially and gradually approaches a constant value known …

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Interactive Effects Of Tissue Temperature And Hydration State On Tendon Mechanical Properties Using A Chicken Drumstick Model, Makayla Maso, Kiara Maso, Mikayla Hulvey Aug 2026

Interactive Effects Of Tissue Temperature And Hydration State On Tendon Mechanical Properties Using A Chicken Drumstick Model, Makayla Maso, Kiara Maso, Mikayla Hulvey

Discovery Day - Daytona Beach

This study focused on the effects of temperature and hydration on tendon extensibility. Four experimental groups were tested using chicken leg tendons tested ex vivo: cold and dehydrated, cold and hydrated, warm and dehydrated, and warm and hydrated. Each treatment group was pulled with an increasing load and measured. It was hypothesized that the warm and hydrated test group would extend the furthest. This was based on studies citing increased bodily flexibility with increasing body temperature as well as stiffness at lower temperatures. Combining temperature and hydration state allowed for not only individual effects of variables to be tested but …

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A Differential Equation Approach To Heat Flow In A Thin Rod, Alexandria Krol, David Cardona, Collin Petrie Aug 2026

A Differential Equation Approach To Heat Flow In A Thin Rod, Alexandria Krol, David Cardona, Collin Petrie

Discovery Day - Daytona Beach

A Differential Equation Approach to Heat Flow in a Thin Rod examines how differential equations can be used to model and understand heat conduction in a fundamental physical system. Heat transfer in solids is a key concept in physics and engineering, particularly in systems where temperature changes over time. A thin rod provides a useful one-dimensional model for studying how heat moves through a material and how temperature varies along the rod as time passes. The primary objective is to develop a mathematical description of this process using differential equations. The analysis begins with physical principles such as conservation of …

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Mechanical Vibrations And Damping – Structural Analysis, Kelsey Hunsicker, Sarah Kraus, Sophia Muller Martinelli De Souza Aug 2026

Mechanical Vibrations And Damping – Structural Analysis, Kelsey Hunsicker, Sarah Kraus, Sophia Muller Martinelli De Souza

Discovery Day - Daytona Beach

Mechanical Vibrations are crucial in understanding and structural analysis of engineering systems such as bridges and airplane wings. If not considered, these vibrations can lead to structural fatigue or failure. By using differential equations, structural vibrations will be examined. Researching the different kinds of vibrations and damping will help to find the vibration behavior of the system. For example, a mass-spring damper system will use second-order linear differential equations. The systems model can be shown to be underdamped, overdamped, or critically damped. These will compare the amplitudes and oscillation differences between the systems by using computational code. Analyzing these differences …

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Numerical Investigation Of The Nonlinear Simple Pendulum And The Dependence Of Oscillation Period On Initial Angle, Kelly Wold, Aidan Hart, Patrick Gilliam Aug 2026

Numerical Investigation Of The Nonlinear Simple Pendulum And The Dependence Of Oscillation Period On Initial Angle, Kelly Wold, Aidan Hart, Patrick Gilliam

Discovery Day - Daytona Beach

Numerical Investigation of the Nonlinear Simple Pendulum and the Dependence of Oscillation Period on Initial Angle examines how the oscillation period of a simple pendulum varies with initial angular displacement and evaluates the accuracy of numerical methods in capturing this behavior. In classical treatments, the small-angle approximation simplifies the governing differential equation and predicts a constant period independent of amplitude; however, this assumption breaks down for larger angles, where the system exhibits nonlinear dynamics. The objective of this project is to model the full nonlinear equation of motion and quantify how the period depends on initial conditions. To achieve this, …

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Engineering Path Trajectories With Gravitational Fields, Eliane Dean, Aidan Hart, Isabel Noot, Nathan Browning, Valeria Villazon Fito Aug 2026

Engineering Path Trajectories With Gravitational Fields, Eliane Dean, Aidan Hart, Isabel Noot, Nathan Browning, Valeria Villazon Fito

Discovery Day - Daytona Beach

This project explores how vector calculus concepts play a role in aerospace engineering though spacecraft trajectory design. In particular, the notion of vector fields is used to model the gravitational force, whose work done is expressed through line integrals. By taking the curl of the gravitational field and showing it is zero, the field is recognised as conservative, implying that the work done by gravity is path independent. This property is conceptually linked to gravitational potential energy and the principle of energy conservation. The results are then applied to spacecraft motion, where engineers use energy-base methods to determine efficient trajectories …

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Visualizing The Invisible: Simulating Electromagnetic Field In 3d Space With Matlab, Aashman Gupta, Eliane Dean, Riley Esperanca, Hailey Grabinski, Jacob Summerhays, Ameya Sute Aug 2026

Visualizing The Invisible: Simulating Electromagnetic Field In 3d Space With Matlab, Aashman Gupta, Eliane Dean, Riley Esperanca, Hailey Grabinski, Jacob Summerhays, Ameya Sute

Discovery Day - Daytona Beach

Electromagnetic field behaviours in free space are defined by Maxwell’s Equations, which couple the temporal and spatial variations of electric and magnetic fields through partial derivatives. These derivatives quantify the rate of change of each field’s vector component with respect to position and time in a 3D lattice, forming the basis for numerical field analysis. This research will develop a mathematical and computational framework using multivariable calculus to model, simulate, and visualize electromagnetic wave propagation in free space using MATLAB. Gradient, divergence, and curl operations are implemented to compute local field variations and energy transfer. The resulting data are used …

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Simulating Pacemakers And Heartbeat Recovery Through Mathematical Modeling, Thomas Estrada, Jayla Edwards Aug 2026

Simulating Pacemakers And Heartbeat Recovery Through Mathematical Modeling, Thomas Estrada, Jayla Edwards

Discovery Day - Daytona Beach

Title: Simulating Pacemakers and Heartbeat Recovery Through Mathematical Modeling   This study utilizes the Fitzhugh-Nagumo model to simulate cardiac electrical activity and the regulatory role of pacemakers through ordinary differential equations (ODEs). By defining the rate of change for membrane voltage, 𝑑𝑣/dt, and a recovery variable, 𝑑𝑤/dt, the model captures the heart's excitability and resting states. Central to the analysis is the stimulus current parameter, which represents the "kick" provided by a pacemaker to correct flatline conditions or weak heartbeats. Using Euler’s method for numerical integration, the research compares unstable cardiac rhythms against corrected periodic oscillations. Additionally, the project implements vector …

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Modelling Quadcopter Thrust And Torque Using Lu-Decomposition, Diya Patil Aug 2026

Modelling Quadcopter Thrust And Torque Using Lu-Decomposition, Diya Patil

Discovery Day - Daytona Beach

3 & 4 motor systems have been in the world of aviation in many different forms as the field grows and evolves. To understand the complexities of an Unmanned Aerial Vehicle (UAV) and its stability, assessing the amount of thrust put into each motor can help generate the torque produced despite factors such as multidirectional movement. While a UAV does this multiple times a second, producing a simplified version of this calculation can aid in simpler models simulating UAV movement. Due to the popularity of the quadcopter drone, a simple algorithm depicting thrust through each spinning motor can aid in …

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Bridging The Gap: Cybersecurity And Occupational Safety Frameworks In Ai Data Centers, Athena Leader Aug 2026

Bridging The Gap: Cybersecurity And Occupational Safety Frameworks In Ai Data Centers, Athena Leader

Discovery Day - Daytona Beach

Bridging the Gap: Cybersecurity and Occupational Safety Frameworks in AI Data Centers   As artificial intelligence infrastructure expands, AI data centers represent a critical and underexamined convergence of cybersecurity and occupational safety risk. Existing frameworks such as NIST, OSHA, and ISO standards were largely developed in isolation, leaving significant gaps in how organizations manage risks that are simultaneously digital and physical in nature. This study investigates the gaps and overlaps between cybersecurity and occupational safety frameworks as they apply specifically to AI data center environments. Drawing on a targeted literature review of established regulatory and standards-based frameworks, this research identifies where …

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American Fascism: How Patrick Buchanan Paved The Way For Donald Trump, Hayden Cross Aug 2026

American Fascism: How Patrick Buchanan Paved The Way For Donald Trump, Hayden Cross

History in the Making

The term fascism is often thrown around to describe one’s political opponents; it constantly appears in the news and is used heavily in contemporary political conversation. However, what is fascism? Do the people espousing fascist characterizations on their political opponents know what it means? Furthermore, in the United States, there is a prevalent belief that the nation is immune to fascism. Like the ironic title of Sinclair Lewis’ novel, It Can’t Happen Here, so aptly suggests, people believe that American liberal democracy is an unmalleable constant. During Donald Trump’s second term, concerns regarding a turn to fascism in the United …

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The Soviet Dimension Of Normalization: Motivations And Obstacles Involved In The Normalization Of U.S.-China Relations, Andrea Dixon Aug 2026

The Soviet Dimension Of Normalization: Motivations And Obstacles Involved In The Normalization Of U.S.-China Relations, Andrea Dixon

History in the Making

The United States of America and the People’s Republic of China established full diplomatic relations on January 1, 1979, after decades of the United States failing to fully recognize the legitimacy of the government in mainland China. This “normalization” of relations between the United States and China was completed by the Carter administration and Deng Xiaoping after more than a year of negotiation between the two parties. The governments of the United States and China were motivated to normalize their relations due to many factors, and they overcame significant obstacles to do so. This paper argues that both governments evaluated …

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The Connection: American Influence On Nazi Racial Hygiene, Dylan O’Connor, Elizabeth Vazquez Aug 2026

The Connection: American Influence On Nazi Racial Hygiene, Dylan O’Connor, Elizabeth Vazquez

History in the Making

This paper analyzes the American eugenics movement’s significant role in shaping Nazi policies, by providing institutional models, ideological inspiration, scientific justification, and legal frameworks that the Third Reich expanded on to pursue its racial purification goals. First, this article traces how the eugenic movement developed from Francis Galtons’s theories to fully established organizations and independent groups such as the Eugenics Record Office and the American Eugenics Society. The paper further examines figures like Charles B. Davenport and Harry Laughlin, who influenced American sterilization laws and immigration restrictions, as well as Ernst Rubin, Eugen Fischer, and Fitz Lenz German, racial hygienists …

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Eugenics Ties With Nature, Samuel Griffin Aug 2026

Eugenics Ties With Nature, Samuel Griffin

History in the Making

While Eugenics and the American West have been thoroughly studied, the connection which highlights the continuous pattern of white supremacist ideals between the two has not been examined sufficiently. Drawing on writings from Frederick Jackson Turner, John O’Sullivan, and research by Douglas Sackman. This article articulates how the 19th-century American viewed nature as something to conquer, and those who did not share this view were deemed inferior. Additionally, this work analyzes Alexandra Minna Stern’s Eugenic Nation alongside Luther Burbank’s and Dr. John Kellogg’s personal writings to highlight California’s support and participation in eugenics. By analyzing Burbank’s and Kellogg’s writings, the …

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Exploring The Motivations Of Undergraduate Sport Management Students, Kyle J. Brannigan, Tyler J. Hajek Aug 2026

Exploring The Motivations Of Undergraduate Sport Management Students, Kyle J. Brannigan, Tyler J. Hajek

The COSMA Journal

This study explored the motivations of undergraduate sport management in four university programs. Convergent mixed-methods research through the theoretical framework of Self-Determination Theory was incorporated with an adapted questionnaire of the Academic Motivation Scale and semi-structured interviews through Thematic Analysis. Ninety-six surveys with nine interviews were deemed usable across four regionally focused, vocationally minded, and accessible universities. Overall, students reported higher levels of extrinsic motivation than intrinsic motivation. The findings suggested intrinsic motivation to know and extrinsic motivation through regulation for identification scored highest with the participants. No significant differences were found between classes and ethnicities. However, male students experienced …

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Revisiting The Flutie Effect: The Impact Of Collegiate Athletics On College Choice, Robin Hardin, Michelle L. Childs, Win G-Y Koo Aug 2026

Revisiting The Flutie Effect: The Impact Of Collegiate Athletics On College Choice, Robin Hardin, Michelle L. Childs, Win G-Y Koo

The COSMA Journal

This study revisits the Flutie Effect by examining factors that influence a student’s college choice which includes the role of athletics and its brand. The study assessed items related to academics, interpersonal influences, campus culture, and athletics through a survey of first-year students. An exploratory factor analysis produced a seven-factor model explaining 71.51% of the variance. The strongest factor was emotional and behavioral identification with university athletics, reflecting fandom, affiliation, and pride in athletic success. Athletics significantly influenced college choice, but their impact extends beyond athletic success to include broader dimensions of branding, fandom, and affiliation. For institutions seeking to …

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