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Articles 61 - 90 of 42620
Full-Text Articles in Entire DC Network
Modeling Kinetics Of 5-Aminolevulinic Acid-Induced Protoporphyrin Ix Accumulation For Optimal Photodynamic Therapy, Priscilla Melebor
Modeling Kinetics Of 5-Aminolevulinic Acid-Induced Protoporphyrin Ix Accumulation For Optimal Photodynamic Therapy, Priscilla Melebor
Graduate Masters Theses
Photodynamic therapy (PDT) is a minimally invasive treatment that uses light-activated photosensitizers to selectively destroy diseased tissue through the generation of reactive oxygen species. However, conventional in vitro models often fail to accurately reproduce the pharmacokinetics of photosensitizer accumulation and clearance observed in vivo. This study investigated protoporphyrin IX (PpIX) accumulation following 5-aminolevulinic acid (ALA) exposure under physiologically relevant conditions using two-dimensional (2D) monolayers and three-dimensional (3D) spheroids. By comparing continuous ALA exposure with transient exposure followed by ALA washout, this work provides a more biologically relevant framework for studying PpIX kinetics and optimizing photodynamic therapy.
Spider Biodiversity And Insecticide Sensitivity Across Active And Restored Cranberry Bogs On Nantucket, Tyler J. Kulak
Spider Biodiversity And Insecticide Sensitivity Across Active And Restored Cranberry Bogs On Nantucket, Tyler J. Kulak
Graduate Masters Theses
Spiders are one of the most diverse groups of organisms on the planet with over 53,000 species described as of 2026. They provide a suite of ecosystem services including their regulation of problematic pests in agricultural systems, appearing in high biomasses across a breadth of ecological niches. While beneficial as pest regulators, they are also susceptible to the same management techniques as pest organisms and are especially vulnerable to chemical control. Cranberry production in Massachusetts likely benefits from spider ecosystem services, but diversity research on spiders in these systems is limited. This study compares the diversity of spider populations from …
Infrared Detectability Of Whale Species And Behaviors To Enhance Automatic Detection For Real-Time Vessel Strike Avoidance, Laura J. Howes
Infrared Detectability Of Whale Species And Behaviors To Enhance Automatic Detection For Real-Time Vessel Strike Avoidance, Laura J. Howes
Graduate Masters Theses
Real-time detection of large whales at sea is critical for mitigating serious injury and mortality from ship strikes and other human activities such as seismic surveys, especially for endangered species such as the critically endangered North Atlantic Right Whale (Eubalaena glacialis). Traditional marine mammal observers are limited by environmental conditions and human factors, necessitating a robust, 24-hour solution. This study investigates the efficacy of a novel onboard detection tool infrared (IR) technology to detect whale blows and body parts. While IR is a promising advancement, its performance under varying sea conditions (e.g., fog, humidity) and its ability to …
The Grasshopper's Journey To The Bloch Sphere, David Llamas
The Grasshopper's Journey To The Bloch Sphere, David Llamas
Graduate Doctoral Dissertations
The Grasshopper Problem asks a simple geometric question. A grasshopper lands on a lawn of fixed area and jumps a fixed distance in a random direction. What shape of lawn maximizes the probability that the grasshopper remains on the lawn after jumping? The jump rule is rotationally symmetric, but the best lawns do not have to be. This dissertation studies how that symmetry breaking occurs, maps the continuum problem to a novel constrained spin system, and uses the spherical Grasshopper Problem to compare quantum singlet correlations with classical local models.
For planar lawns, boundary-integral and perturbative calculations explain why the …
A Statistical Mechanics Approach To Reinforcement Learning, Jacob Adamczyk
A Statistical Mechanics Approach To Reinforcement Learning, Jacob Adamczyk
Graduate Doctoral Dissertations
Reinforcement learning (RL), the study of optimal decision-making over long timescales in stochastic systems, has recently seen remarkable advances due in large part to the efforts of the deep learning community. RL has witnessed great success in solving problems in video games, robotics, biological control, and language modeling. However, a unified statistical mechanics framework to understand and develop the corresponding algorithms is lacking. To address this issue, we begin by showing that the reinforcement learning problem can be formulated and solved using the tools of statistical mechanics. Drawing on physical principles of free energy minimization and invariance, we address important …
Enhanced Osseointegration Of Functionally Graded Co˗Cr˗Mo˗Ti/Ha Implants: In Vitro And In Vivo Study In A Rabbit Model, Afrah M. Al Hussainey, Randa Kamel Hussain, Aseel Mustafa Abdul Majeed
Enhanced Osseointegration Of Functionally Graded Co˗Cr˗Mo˗Ti/Ha Implants: In Vitro And In Vivo Study In A Rabbit Model, Afrah M. Al Hussainey, Randa Kamel Hussain, Aseel Mustafa Abdul Majeed
Karbala International Journal of Modern Science
The present investigation aims to evaluate the effects of acid and laser surface treatments on the surface characteristics, biocompatibility, and osseointegration of functionally graded implants fabricated from a Co–Cr–Mo–Ti/HA alloy. The implant surfaces were modified using either an Nd: YAG laser or hydrochloric acid (HCl), while untreated implants served as controls. Atomic force microscopy (AFM) showed that the acid-treated surface exhibited the highest mean surface roughness (Sa) of 58.10 ± 0.24 nm compared to the laser-treated surface (42.64 ± 0.83 nm) and the untreated surface (37.73 ± 0.89 nm). The MTT assay also demonstrated a favourable cellular response on the …
Toward A Post-Modern Daoist Pedagogy: Bridging Complexity And Dao Through Inner Cultivation And Autopoietic Currere, Jie Yu, Jingyu Liu
Toward A Post-Modern Daoist Pedagogy: Bridging Complexity And Dao Through Inner Cultivation And Autopoietic Currere, Jie Yu, Jingyu Liu
Journal of Contemplative and Holistic Education
This article first critically examines the call to reenchant the world as it resonates within a middle space between science and mysticism and then connects key ideas from complexity theory and systems thinking on complex adaptive systems with two seminal Daoist texts: the Neiye (《內業》, Inner Cultivation), a proto-Daoist chapter from the Guanzi anthology (4th–3rd century B.C.E.), and the Huangting Jing (《黃庭經》, Yellow Court Scripture), a later Daoist classic (3rd–4th century C.E.). Through this dialogue, the article advocates a post-modern Daoist pedagogy through inner cultivation and autopoietic currere—an autopoietic process wherein curriculum emerges organically through participatory dialogue …
Enterococcus Abundance, Distribution, And Environmental Controls At A Sandy Shoreline, South Carolina, Usa, Helen Kehoe
Enterococcus Abundance, Distribution, And Environmental Controls At A Sandy Shoreline, South Carolina, Usa, Helen Kehoe
Electronic Theses and Dissertations
Water quality monitoring crucially protects the health of beachgoers around the world. However, water-adjacent sediments, such as sandy beaches, are known to harbor harmful bacteria, yet are not monitored despite their intensive recreational use. This project monitored the abundance of fecal indicator bacteria (FIB), specifically Enterococci, in sandy beach sediments at beaches routinely monitored for water quality in Myrtle Beach and North Myrtle Beach, South Carolina. Surface sediment core sampling (0-5 cm) in the swash zone was conducted once per month for 4 months at 24 beaches in tandem with state-accredited surf-water FIB monitoring using IDEXX’s Enterolert test (Standard Method …
Spatial Variation In Resource Use And Species-Level Trophic Niches Of White And Brown Shrimp In North Inlet–Winyah Bay, South Carolina, Josie Bryan
Electronic Theses and Dissertations
Atlantic white (Penaeus setiferus) and brown shrimp (Penaeus aztecus) are ecologically and economically important species in the southeastern United States, supporting coastal food webs and valuable commercial fisheries. To understand their trophic dynamics in the North Inlet-Winyah Bay estuary, we conducted a spatial and temporal analysis using carbon (δ¹³C), nitrogen (δ¹⁵N), and sulfur (δ³⁴S) stable isotopes to evaluate trophic position and basal source contributions across three habitat types (river, bay, and marsh). Linear models were used to evaluate the effects of size (rostrum–carapace length, RCL, in mm), habitat, and species on trophic position, as well as the effects of habitat …
Addressing Sustainability Challenges: Perspectives From Bhagavad Gītā, B Mahadevan, Dhrithi Mahadevan
Addressing Sustainability Challenges: Perspectives From Bhagavad Gītā, B Mahadevan, Dhrithi Mahadevan
International Journal of Traditional Knowledge
The industrialization-driven growth has ushered in economic progress over the past few centuries. However, it has also raised serious concerns about the sustainability of life on this planet. Despite considerable attempts to address sustainability issues using newer frameworks and efforts by corporates as well as governmental, and non-governmental institutions, we have remained ineffective in implementing sustainable solutions. The “last mile” to successfully implementing sustainable solutions is the individual. This calls for addressing individual values and aligning them to sustainability. This paper presents a fresh perspective on the problem by drawing some insights from the Bhagavad Gītā. We introduce the basic …
Gaining From Captured Indian Traditional Knowledge Systems: Paths Taken And Way Forward, Ramasami T
Gaining From Captured Indian Traditional Knowledge Systems: Paths Taken And Way Forward, Ramasami T
International Journal of Traditional Knowledge
India’s scientific heritage is deeply reflected in Ayurveda, a tradition of integrative medicine documented for over two millennia. P.C. Ray, the father of modern chemistry in India, highlighted the depth of ancient chemical knowledge and early use of mercury compounds, while M.S. Valiathan later revived and analyzed the classical texts of Charaka, Sushruta, and Vagbhata to bridge Ayurveda with modern science. Building on this foundation, the Government of India launched initiatives linking Ayurveda with genomics, personalized medicine, and rasayana therapies, yielding promising insights such as the genetic basis of prakriti classifications and protective effects of Amalaki Rasayana. Efforts like the …
Presence And Impact Of Herbicides On Intertidal Benthic Communities, Marco Sanderson
Presence And Impact Of Herbicides On Intertidal Benthic Communities, Marco Sanderson
Electronic Theses and Dissertations
The growing reliance and widespread use of herbicides on a global scale is negatively affecting non-targeted biota and, consequently, their ecosystems. Herbicide levels and their impacts have been extensively researched around the world in riverine and lacustrine ecosystems. However, studies of the levels and effects of herbicides on coastal intertidal benthic communities have been lacking. This study focused on testing spectrophotometric methodologies for herbicides (atrazine and glyphosate) and documenting their presence and levels in sediment, water, and biotic tissue of intertidal coastal beaches and marshes of Waties Island and Singleton Swash, Horry County, South Carolina. A laboratory microcosm was employed …
Fast-Track Ode: A Student-Centered, Game-Based Summer Differential Equations Course, Chamila D. Malagoda Gamage
Fast-Track Ode: A Student-Centered, Game-Based Summer Differential Equations Course, Chamila D. Malagoda Gamage
CODEE Journal
This article describes a student-centered and game-based redesign of an Elementary Differential Equations course taught during a six-week summer session. In this compressed setting, students had to move through the standard course content quickly while still developing procedural fluency, conceptual understanding, and confidence with applications. To support these goals, the course used real-time feedback tools, collaborative problem solving, applications connected to students' fields, and mathematical games. The paper describes the course context, major activities, implementation details, and student feedback. Student responses suggest that the activities were well received and helped students stay engaged, participate regularly, prepare for exams, and see …
Compact 1 Ghz Electron Paramagnetic Resonance Spectrometers For Preclinical Imaging Studies, Tanden A. Hovey
Compact 1 Ghz Electron Paramagnetic Resonance Spectrometers For Preclinical Imaging Studies, Tanden A. Hovey
Electronic Theses and Dissertations
Magnetic resonance is one of the most generally useful scientific techniques. New horizons of understanding are revealed as technological advances make possible explorations of nuclear spins and electron spins at higher and lower magnetic fields and electromagnetic frequencies. While the greatest current effort is on ever higher magnetic fields and microwave frequencies, both in nuclear magnetic resonance (NMR) and electron paramagnetic resonance (EPR), the Eaton lab focusses on developing high signal-to-noise performance EPR at low microwave frequencies. EPR provides information about O2, pH, viscosity, glutathione concentrations, and reactive oxygen species in living organisms that MRI cannot. To yield clinically or …
Digital Presence In Live Hybrid Performance, Luke Cargill
Digital Presence In Live Hybrid Performance, Luke Cargill
Dartmouth College Master’s Theses
This thesis examines how digital presence, the sense that a digital performer is socially and performatively "there," is designed and tested in live hybrid performance. Drawing on four practice-based projects (Vicarious, Voltage, Vicarious: Encore Edition, and SUPER BLOOM), the first phase identifies a recurring but empirically untested claim: that digital presence depends on interactivity and co-presence with live performers, though these factors were always entangled in practice.
The second phase tests this claim directly. A new mini-performance, featuring the first fully AI-driven digital character in this line of work, was produced for controlled comparison. Using a 3 (intro type: AI-driven, …
Assessment Of The Radionuclide Concentration Levels Of Water And Sediments Along The Mara River, Gasper Kachenge, Abubakary Salama, Abdalah Kileo, Furaha Chuma
Assessment Of The Radionuclide Concentration Levels Of Water And Sediments Along The Mara River, Gasper Kachenge, Abubakary Salama, Abdalah Kileo, Furaha Chuma
Tanzania Journal of Science
For many years, several factors have impacted the water quality of the Mara River, including population growth, agricultural expansion, livestock keeping, mining, and industrial activities. These factors have intensified water pollution and climate change effects around the river. While previous studies have mainly focused on assessing heavy metal pollution risks on the Mara River, this study evaluates the concentration levels of radionuclides in boreholes, water, and sediments along the river and its tributaries. Naturally occurring radioactive materials, including 226Ra, ²³²Th, and ⁴⁰K, were evaluated. A high-purity germanium radiation detector (HPGe) with a coaxial detector system coupled with Gamma Vision software …
Electrochemical Determination Of Terbutaline Using A Sno2 Nanoparticle-Modified Carbon Paste Electrode, Rauf Gulamov, Şenol Alpat, Si̇bel Kilinç Alpat
Electrochemical Determination Of Terbutaline Using A Sno2 Nanoparticle-Modified Carbon Paste Electrode, Rauf Gulamov, Şenol Alpat, Si̇bel Kilinç Alpat
Turkish Journal of Chemistry
Terbutaline hemisulfate (THS), a selective beta-2 agonist, is preferred as a bronchodilator for the treatment of asthma and bronchitis, as well as a tocolytic agent to delay labor in acute situations during premature birth. The use of beta-2 agonists above a certain dose is considered doping in sports competitions. Therefore, it is important that they be determined with high sensitivity and selectivity within a short analysis time. In this study, a SnO2 nanoparticle-modified carbon paste electrode was developed for the determination of THS. Cyclic voltammetry and differential pulse voltammetry were employed as electrochemical methods. The operating conditions of the developed …
Chitosan Microparticle-Based Antibacterial Nasal Barrier Formulation And In Vivo Evaluations, Güli̇z Ak, Ayça Erek, Tuğba Karakayali, Şadi̇ye Çeti̇n, Şenay Şanlier
Chitosan Microparticle-Based Antibacterial Nasal Barrier Formulation And In Vivo Evaluations, Güli̇z Ak, Ayça Erek, Tuğba Karakayali, Şadi̇ye Çeti̇n, Şenay Şanlier
Turkish Journal of Chemistry
Microorganisms remain a major cause of infectious diseases, emphasizing the need for alternative and complementary antimicrobial strategies. In this context, plant-derived materials have attracted increasing attention for their antimicrobial and protective properties. Chitosan, a biocompatible and cationic biopolymer, has emerged as an effective carrier system for encapsulating such plant-derived components. In this study, chitosan microparticles were prepared through ionic gelation followed by spray drying and loaded with thyme oil and olive leaf extract. The resulting microparticles exhibited an average size of approximately 1.8 μm and a total phenolic content of 23 mg GAE/g. These microparticles were incorporated into a glycerin–starch …
Humanity’S Grandeur In The Balance: Theological Reflections On Magnifica Humanitas, William L. Portier
Humanity’S Grandeur In The Balance: Theological Reflections On Magnifica Humanitas, William L. Portier
The Journal of Social Encounters
No abstract provided.
Artificial Intelligence And The Rediscovery Of The Human: An Islamic Reflection On Magnifica Humanitas, Mazhar Ali Bari, Biliana Popova
Artificial Intelligence And The Rediscovery Of The Human: An Islamic Reflection On Magnifica Humanitas, Mazhar Ali Bari, Biliana Popova
The Journal of Social Encounters
No abstract provided.
Land-Use Transitions And Carbon Emissions Of Aquaculture Expansion In The Brazilian Amazon, Felipe S. Pacheco, Sebastian A. Heilpern, Rafael M. Almeida, Suresh A. Sethi, Marcela Miranda, Nicholas Ray, Laura Greenstreet, Joshua Fan, Brendan H. Rappazzo, Marcelo Gomes Da Silva
Land-Use Transitions And Carbon Emissions Of Aquaculture Expansion In The Brazilian Amazon, Felipe S. Pacheco, Sebastian A. Heilpern, Rafael M. Almeida, Suresh A. Sethi, Marcela Miranda, Nicholas Ray, Laura Greenstreet, Joshua Fan, Brendan H. Rappazzo, Marcelo Gomes Da Silva
School of Earth, Environmental, & Marine Sciences Faculty Publications
Accounting for land-use change underlying food sector expansion is critical for conserving ecosystem integrity. This challenge is particularly acute in the Amazon, where the conversion of forests for food production is pronounced and has broad implications for global biodiversity and the cycling of water and carbon. Here, we analyze land-use transitions associated with aquaculture development in the Brazilian Amazon. We found that a 450-fold increase in aquaculture pond area from 1985 to 2022 occurred primarily on pasturelands (87%) but also included wetland conversion (4%) and deforestation (5%). Notably, continued growth can be sustained within already altered landscapes: In Rondônia, the …
Is Hanpp A Stressor Of Bird Species Richness?, Kaeli Mueller, Gustavo Ovando-Montejo, Christopher Lant
Is Hanpp A Stressor Of Bird Species Richness?, Kaeli Mueller, Gustavo Ovando-Montejo, Christopher Lant
Environment and Society Student Research
One of the leading drivers of biodiversity loss is land use change due to the ever-increasing demand for food, livestock feed, biofiber, and biofuel. The concept of human appropriation of net primary production (HANPP) was developed to measure the impact that humans have on the environment by accounting for biomass removed from the environment in the form of crops, timber, and grazing. The species–energy hypothesis is an established ecological hypothesis postulating that greater species diversity is correlated with higher levels of energy from plant productivity; this can be measured as net primary production minus harvested HANPP or NPPecological. …
Greenovation As A Strategic Leverage For Sustainable Competitive Advantage, Amiya Kumar Mohapatra, Anil Kumar, Yiğit Kazançoğlu
Greenovation As A Strategic Leverage For Sustainable Competitive Advantage, Amiya Kumar Mohapatra, Anil Kumar, Yiğit Kazançoğlu
Management Dynamics
Greenovation is the new currency of the global economy which focuses on ‘green and innovation’ that generates environmental benefits through reduced resource consumption, lower carbon emissions, and improved ecological performance aligned with Sustainable Development Goals (SDGs). Greenovation focuses on long-term value creation by integrating environmental externalities, resource circularity, and multi-stakeholder governance and accountability structures. Greenovation integrated with corporate strategies can provide greater strategic competitive advantages which is also termed as green competitive advantage. By systematically integrating product and process improvements through Greenovation, firms can attain competitive advantage for long-term value creation for both internal and external stakeholders. It is imperative …
System And Method For Detecting Subsurface Voids Using Controlled Heat Addition, Chase Nilsson
System And Method For Detecting Subsurface Voids Using Controlled Heat Addition, Chase Nilsson
Discovery Day - Daytona Beach
This study evaluates controlled heat addition in a confined space to estimate enclosed volumes for irregularly shaped spaces. The intent is to detect hidden voids in cave environments. Conventional methods for identifying such voids are often costly, logistically difficult, and limited in accuracy. Preliminary experiments were conducted with a controlled heat source, a temporary thermal barrier to isolate the test chamber, and simple temperature sensors. Temperatures were recorded for the pre-test baseline, the heating interval, followed by a cooling period. The thermal response showed clear engineering trends that warrant further exploration and modeling. Preliminary results indicate that transient temperature changes …
Navigating Enhanced Exploration Assistance (Nexa), Azhari Abbas, Caleb Fakunle, Ryan Powell, Donovan Livingston
Navigating Enhanced Exploration Assistance (Nexa), Azhari Abbas, Caleb Fakunle, Ryan Powell, Donovan Livingston
Discovery Day - Daytona Beach
NEXA is an artificial intelligence software platform developed to enhance residential security and property monitoring through seamless integration with autonomous drone systems. This research application of advanced AI in surveillance aims to create a standalone solution capable of real-time threat detection and intelligent alert management. By processing visual and sensory data, NEXA facilitates autonomous drone operation with minimal human intervention. Secure communication channels ensure that instant alerts are delivered to property owners and, potentially, law enforcement, improving response times in security incidents, search-and-rescue operations, and perimeter surveillance. Additionally, NEXA is capable of interfacing with commercially available drone platforms and presents …
A Qualitative Analysis Of Human-Ai Interaction Through Animated Shapes, Kavya Dipen Shah, Angel Hinojosa, Caroline Deck
A Qualitative Analysis Of Human-Ai Interaction Through Animated Shapes, Kavya Dipen Shah, Angel Hinojosa, Caroline Deck
Discovery Day - Daytona Beach
As technology becomes more advanced, it is important to understand how people perceive the intentions and abilities of machines. This project, conducted in the InTeRACT Lab, explores how we attribute humanlike qualities to different types of agents, ranging from animals to robots. The study analyzes data from an experiment where participants watched animations of moving triangles. Although the videos were identical, participants were told the shapes represented either humans, robots, dogs, or inanimate objects. While previous math-based data showed that these labels changed how people felt, those structured scales didn't allow for a natural, unbiased explanation of what people actually …
Social Attributions Of Moving Shapes: Comparing Qualitative Analyses Of Humans Vs. Ai, Angel Hinojosa
Social Attributions Of Moving Shapes: Comparing Qualitative Analyses Of Humans Vs. Ai, Angel Hinojosa
Discovery Day - Daytona Beach
As technology becomes more intelligent, the relationship between humans and machines is rapidly shifting. Whether a machine is perceived as a capable partner or a source of wariness often depends on the intentions and abilities, we attribute to it. My research in the InTeRACT Lab seeks to empirically assess these perceptions by comparing how we view different nonhuman agents, ranging from animals to robots. This study analyzes qualitative data from a task where participants viewed animations of moving triangles. While the videos remained the same, participants were told the shapes represented either humans, robots, dogs, or inanimate shapes. Previous quantitative …
Phaëthon System, Brady Roudabush, Lauren Gallo, Emelia Thompson, Jacob Woods
Phaëthon System, Brady Roudabush, Lauren Gallo, Emelia Thompson, Jacob Woods
Discovery Day - Daytona Beach
Phaëthon System is the project name for the Search and Rescue Drone Initiative. This initiative will improve the current search and rescue drone industry by introducing new techniques to get through dense forest canopies and other places where an overhead view is not useful. The Phaëthon System uses a swarm of drones that can penetrate under the tree canopy to map and search with the utmost efficiency and safety for rescuers. A command drone is launched to survey the overall search area, and set up a communications and data link. The next component is then released, which is a swarm …
Accelerating Search And Rescue Response: A Simulation Study On The Dynamic Efficiency Of Flocking-Enabled Drone Swarms, Sophia Beckwith, Carys Del Prete
Accelerating Search And Rescue Response: A Simulation Study On The Dynamic Efficiency Of Flocking-Enabled Drone Swarms, Sophia Beckwith, Carys Del Prete
Discovery Day - Daytona Beach
This project explores how imitations observed in animal group behavior, specifically flocking in birds, can be applied to the functionality of autonomous drone systems to aid in search and rescue efforts. The goal is to demonstrate how incorporating code based on the Boids, Vicsck and predictive control linear algebraic mathematical models for drone flight controls and the collective behaviors of flocks will increase the efficiency of drone maneuvers, allowing them to reorganize and fill gaps when one is removed. A MATLAB-based simulation was developed to model the behaviors using research conducted on the symmetric and synchronized behaviors observed from flocks …
Numerical Investigation Of The Nonlinear Simple Pendulum And The Dependence Of Oscillation Period On Initial Angle, Kelly Wold, Aidan Hart, Patrick Gilliam
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, …