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Articles 6601 - 6630 of 1815608
Full-Text Articles in Entire DC Network
Closing The Gap In Offshore Wind Environmental Evidence Chains: A Workshop-Derived White Paper, Jiaxin Chen, Lilian Lieber, Matthew Palmer, Dan Lear, Deborah Greaves
Closing The Gap In Offshore Wind Environmental Evidence Chains: A Workshop-Derived White Paper, Jiaxin Chen, Lilian Lieber, Matthew Palmer, Dan Lear, Deborah Greaves
School of Biological and Marine Sciences
Offshore wind development is accelerating at a time when environmental assessment is increasingly required to support timely consenting, cumulative-effects understanding, nature recovery, regional planning, floating offshore wind deployment and public trust. The workshop underpinning this White Paper was convened in recognition that the sector's central challenge is no longer simply a lack of data, but the weak connection between data, monitoring approaches, models, uncertainty, governance and decision-making.Environmental monitoring often remains project-specific and receptor-focused, while models remain component-specific or scenario-specific. Data systems are similarly fragmented across owners, repositories, formats, access arrangements and project lifecycle stages. Yet regulators and statutory advisers require …
Co-Opting Modernity: The Semantic Retooling Of Faith At The 1893 World’S Parliament Of Religions, Erik P. Palmer
Co-Opting Modernity: The Semantic Retooling Of Faith At The 1893 World’S Parliament Of Religions, Erik P. Palmer
The Thetean: A Student Journal for Scholarly Historical Writing
The 1893 World’s Parliament of Religions in Chicago served as a high-stakes arena where the boundaries of religious legitimacy were redrawn through the intentional adoption of social science vocabulary. Staged within the Neo-Classical architecture of the White City of the World’s Columbian Exposition, the event was more than a civil gathering; it functioned as a “Museum of Faiths” where religious traditions were curated, categorized, and evaluated against the perceived benchmarks of Western civilization. The physical environment of the Fair, a monument to industrial triumph, was built to display things that worked. The organizers demanded that religions demonstrate they were useful …
Moving Forward, Looking Back: How Mormon Women Sought To Carry Their Polygamous Past Into A Progressive Future Article, Evan Janis
The Thetean: A Student Journal for Scholarly Historical Writing
The influence of woman is fully recognized.” These words, spoken by Emily S. Richards, echoed the shared mission of Utah women at the World’s Congress of Representative Women: to overturn the public perception of them as ignorant, crude, and barbaric. After decades of legal and social campaigns against the so-called “second barbarism” of polygamy, the reputation of Mormon women had been one of its greatest casualties. Cast as too homely to marry a respectable man, too naive to resist deception, and too submissive to think for themselves, the Utah delegation to the 1893 Chicago World’s Fair sought to redefine their …
From Cotton To Canyons: An Analysis Of The Historic Industries Of Southern Utah, Brielle Beardall
From Cotton To Canyons: An Analysis Of The Historic Industries Of Southern Utah, Brielle Beardall
The Thetean: A Student Journal for Scholarly Historical Writing
On October 6, 1861, Brigham Young stood before Latter-day Saints gathered in the Old Salt Lake City Tabernacle and called 300 missionaries on an ambitious undertaking: Over three hundred families would leave their homes and settle in the Utahn southwestern desert; a region that earned the nickname of “Utah’s Dixie” for both its southern location and its punishing heat. Their mission was to cultivate cotton and increase Utahn economic independence from the Confederacy during the American Civil War. Allen Joseph Stout recalled in a personal journal about his experience learning of the call to Southern Utah, “My neighbors reported that …
Le Roi Shrinks Before La Nation And La Liberté: Feminine Allegories And The King In French Revolutionary Prints, Jared Cluff
Le Roi Shrinks Before La Nation And La Liberté: Feminine Allegories And The King In French Revolutionary Prints, Jared Cluff
The Thetean: A Student Journal for Scholarly Historical Writing
Printers in the early years of the French Revolution faced an unprecedented problem with new, unprecedented legal flexibility. Though the most cohesive government-coordinated efforts to overturn old symbols and refashion France’s national identity would not come until the Republican period, French engravers in the early years of the Revolution found existing Old Regime symbols and visual codes inadequate tools, so sought “a visual formula for [this] unprecedented historical change.” Furthermore, while the National Assembly did not completely do away with the Old Regime censorship systems that it ostensibly abolished with the Declaration of the Rights of Man and Citizen, printers …
Assessing Non-Thermal Plasma In Cutaneous Regeneration, Arden Rodriguez, Meliah Martin, Graeme Grainger, Arineh Shahbazi
Assessing Non-Thermal Plasma In Cutaneous Regeneration, Arden Rodriguez, Meliah Martin, Graeme Grainger, Arineh Shahbazi
Discovery Day - Daytona Beach
Chronic and acute wounds remain a significant clinical challenge, particularly in austere and resource-limited environments where access to advanced care is restricted. Non-Thermal Plasma (NTP) has emerged as a promising, non-invasive modality with reported antimicrobial and regenerative properties; however, its mechanisms of action and effects on human skin tissue require further characterization. The scope of this project is to engineer and utilize a 3D human skin epithelial model to evaluate the effects of NTP on wound healing. We will first build a 3D epithelial tissue model that will simulate human skin, followed by modeling and evaluation of wound pathology and …
Extracting Aromatic Compounds From Dehydrated Rose Buds, Lana Sheridan
Extracting Aromatic Compounds From Dehydrated Rose Buds, Lana Sheridan
Discovery Day - Daytona Beach
Eugenol (C10H12O2), methyl eugenol (C11H14O2), and 2-phenylethanol (C8H10O) are chemically aromatic, natural compounds commonly present in various botanical sources and essential oils. Structurally, eugenol is a methoxyphenol bearing an allyl side chain; its methyl ether derivative, methyl eugenol, shares a similar framework but features a methoxy group replacing the free phenolic hydroxyl group found in eugenol. 2-Phenylethanol is an aromatic alcohol comprised of a benzene ring linked to an ethanol moiety. The objective of this project was to isolate and characterize these compounds in dried rose buds using distillation followed by chromatographic and spectrometric analysis. For the experiment, a steam …
Magnesium-Enhanced Methane: A Novel Metalized Fuel For Mars Return Missions And Next-Generation Propulsion Systems, Kinga Wysocka
Magnesium-Enhanced Methane: A Novel Metalized Fuel For Mars Return Missions And Next-Generation Propulsion Systems, Kinga Wysocka
Discovery Day - Daytona Beach
This research investigates magnesium-enhanced methane as a novel metalized fuel concept for high-performance, in-situ resource utilization (ISRU)-compatible rocket propulsion. While methane is a leading candidate for Mars missions due to its producibility via the Sabatier process, its combustion performance is limited by the high activation energy of the initial C–H bond (~4 eV). To address this limitation, density functional theory (DFT) calculations were performed to analyze methane and hydrogen interactions with a Mg(0001) surface. A converged slab model (3×3×4 and 3×3×5) was validated with energy differences below 1 meV per atom for k-point sampling and ~13.99 meV per atom for …
Advanced Manufacturing And Materials Of A Bio-Mimetic Hoof For Space Robotics Applications, Benjamin Heckel
Advanced Manufacturing And Materials Of A Bio-Mimetic Hoof For Space Robotics Applications, Benjamin Heckel
Discovery Day - Daytona Beach
Planetary surfaces often feature steep, uneven, and unpredictable terrain conditions that resemble some of the most challenging natural environments on Earth. In these terrestrial settings, certain animals have evolved to navigate complex landscapes with remarkable agility. One example is the mountain goat, an animal whose hooves have evolved for stable and precise movement across rocky, inclined surfaces. This biological adaptation provides a useful model for improving robotic mobility in planetary exploration. This study draws inspiration from that natural adaptation to develop a bio-mimetic robotic hoof designed to enhance traction, durability, and adaptability for extraterrestrial exploration. By replicating the mechanical properties …
Experimental Design And Comparative Analysis Of Cubesat-Based Reflector Concepts For Future Solar Energy Redirection On Mars, Tatyana Vladislavova Ivanova
Experimental Design And Comparative Analysis Of Cubesat-Based Reflector Concepts For Future Solar Energy Redirection On Mars, Tatyana Vladislavova Ivanova
Discovery Day - Daytona Beach
Previous research shows that redirecting sunlight with large orbital mirrors could support warming specific regions of Mars by targeting ice deposits and releasing greenhouse gases. Although the concept has strong theoretical support, deploying and adjusting massive rigid reflectors in orbit remains a major technical challenge. This study aims to investigate the impact of using a swarm of small, adjustable CubeSats equipped with different reflector types on the effectiveness of solar energy redirection for Martian surface heating. Through comparison of multiple designs in controlled conditions, this work addresses whether smaller, flexible systems could offer a practical alternative to traditional large mirrors. …
Steam Distillation Star Anise, Makayla Maso, Kiara Maso
Steam Distillation Star Anise, Makayla Maso, Kiara Maso
Discovery Day - Daytona Beach
Star anise (Illicium verum) contains several volatile organic compounds responsible for its characteristic aroma, including trans-anethole, estragole, limonene, and linalool. These compounds differ in structure and chemical properties, which influence their behavior during isolation and analysis. Trans-anethole and estragole are classified as aromatic phenylpropene derivatives that contain benzene rings and ether functionalities. In contrast, limonene and linalool are non-aromatic terpenes, with linalool additionally possessing an alcohol functional group. These compounds are widely utilized as flavoring agents and fragrance components, while terpenes such as limonene and linalool are also commonly employed as solvents and in formulation chemistry due to their volatility …
Se(3) Touchdown Dynamics With Multi-Joint Landing Legs And Regolith-Dependent Contact For Autonomous Tip-Over Risk Prediction, Rithika Nagarajan
Se(3) Touchdown Dynamics With Multi-Joint Landing Legs And Regolith-Dependent Contact For Autonomous Tip-Over Risk Prediction, Rithika Nagarajan
Discovery Day - Daytona Beach
This project develops an SE(3)-based touchdown dynamics framework to study how lunar landers can remain stable during landing on sloped and uncertain terrain. Safe lunar landing is challenging because uneven load redistribution, slip, and asymmetric sinkage can push the vehicle’s center of mass outside its support polygon, increasing tip-over risk. The purpose of this work is to extend a fixed-leg touchdown model to a multi-joint landing leg system while also examining how varying regolith properties affect landing stability. The method combines coupled rigid-body translation and rotation with per-foot unilateral contact, compliant normal force response, and Coulomb-limited friction to simulate touchdown …
An Energy-Aware Meta-Learning Framework For Real-Time Lunar Rover Localization Via Adaptive Algorithm Selection, Jose Demedeiros, Garrett Seyler
An Energy-Aware Meta-Learning Framework For Real-Time Lunar Rover Localization Via Adaptive Algorithm Selection, Jose Demedeiros, Garrett Seyler
Discovery Day - Daytona Beach
This work proposes an energy-aware meta-learning framework that selects the single most suitable localization algorithm for a lunar rover, per scene, using only monocular imagery and orbital maps. The goal is to achieve sub-meter accuracy while minimizing onboard compute and energy consumption. We assemble a suite of seven lunar-relevant algorithms spanning relative and absolute localization, including monocular ORB-SLAM3, LuVo homography-based visual odometry, Censible cross-view matching with orbital imagery, crater-based methods (LunarNav and ShadowNav), monocular horizon navigation with a DEM, and DROID-SLAM. Relative methods provide incremental motion updates, while absolute methods deliver global pose fixes; an Extended Kalman Filter fuses these …
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 …
A System Safety Approach To Assuring Artificial Intelligence Enabled Functions In Civil Aviation, Evan Bear, Quinn Galen
A System Safety Approach To Assuring Artificial Intelligence Enabled Functions In Civil Aviation, Evan Bear, Quinn Galen
Discovery Day - Daytona Beach
Artificial intelligence and machine learning techniques are increasingly proposed for use in safety-critical civil aviation functions including perception decision support and pilot assistance. Existing aviation safety and certification standards such as ARP4754A and DO-178C were developed under assumptions of determinism explicit requirements and complete behavioral specification which do not directly apply to learning-enabled systems. This mismatch has created uncertainty regarding how artificial intelligence enabled avionics can be safely assured and certified. This paper presents a system safety approach for assuring artificial intelligence enabled functions within existing aviation certification frameworks. In this approach safety assurance is based on explicitly identifying the …
A Hybrid Llm-Srgm Framework For Ai-Enabled Reliability Assessment In Safety-Critical Software Systems, Caleb Stone, Shrenik Jadhav
A Hybrid Llm-Srgm Framework For Ai-Enabled Reliability Assessment In Safety-Critical Software Systems, Caleb Stone, Shrenik Jadhav
Discovery Day - Daytona Beach
Ensuring the reliability of software intensive and safety critical systems is a persistent challenge across aerospace, defense, transportation, and other mis- sion focused domains. Traditional software relia- bility growth models (SRGM) provide useful quanti- tative insight into defect discovery trends, but they rely mostly only on numerical failure data and do not use the rich contextual information contained in test logs, anomaly reports, and engineering notes. This paper presents a hybrid framework that com- bines semantic features extracted by a large lan- guage model (LLM) with a non-homogeneous Pois- son process (NHPP) based software reliability growth model. The LLM analyzes …
Extraction Of Cedarwood Essential Oils Via Steam Distillation, Forrest Dohner
Extraction Of Cedarwood Essential Oils Via Steam Distillation, Forrest Dohner
Discovery Day - Daytona Beach
Many natural materials, including pine and eucalyptus, produce distinct scents due to the presence of volatile organic compounds. In cedarwood, this aroma arises from a combination of aromatic molecules, which are organic compounds containing conjugated carbon ring systems that interact with olfactory receptors. Specifically, cedarwood contains three primary compounds responsible for its scent: cedrol, cedrene, and thujopene. The objective of this experiment was to extract these essential oils from cedarwood and identify their chemical composition. Steam distillation was used to isolate the volatile components by passing steam through the cedarwood, causing the essential oils to vaporize at temperatures below their …
Experimental Manufacturing Optimization Of 3d-Printed Ducted Fans, Stanlie Cerda-Cruz
Experimental Manufacturing Optimization Of 3d-Printed Ducted Fans, Stanlie Cerda-Cruz
Discovery Day - Daytona Beach
This study aims to assess the efficiency gains, feasibility, and practicality of 3D printing fan and ducts with pre and post processing techniques. With the rapid expansion of MAV use; labs, students, hobbyists, can benefit from manufacturing Electric Ducted Fans (EDFs), both fans and ducts, in-house rather than purchasing traditional propellers. There are several advantages of utilizing EDFs, as they can minimize wing tip vortices, reduce wake contraction, and induce a duct lip Coanda effect which all lead to an increased system efficiency. However, EDF implementation in MAV's remain largely unexplored due to the difficulty of development and the production …
Cars Imass - Comparing Llm Vs Human Operator Effectiveness In Multi-Agent Swarm Coordination, Gatlin Nelson
Cars Imass - Comparing Llm Vs Human Operator Effectiveness In Multi-Agent Swarm Coordination, Gatlin Nelson
Discovery Day - Daytona Beach
Title: Dual-Perspective Risk Analysis for Human-LLM Decision Comparison in UAV Swarm Navigation Unmanned aerial vehicle (UAV) swarms operating in low-altitude wireless network environments encounter localized disruptions that degrade positioning and navigation metrics. These disruptions are modeled as geographic failure zones with defined boundaries. A UAV discovers a zone by entering it and observing degraded performance on its onboard systems. This work assumes that affected UAVs can autonomously retreat to safety using onboard sensors and focuses on the subsequent rerouting decision. Once recovered, the system generates candidate repositioning points surrounding the vehicle, each scored using Conditional Value-at-Risk (CVaR). A human operator …
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 …
Multi-Dimensional Particle-In-Cell With Monte Carlo Collisions (Pic-Mcc) Simulation For Visualizing Plasma Flow And Secondary Ionization In Constricted-Anode Geometries, Parth Thakar
Discovery Day - Daytona Beach
Constricted-anode plasma sources generate locally intensified electric fields that enhance ionization near the anode, making them valuable in propulsion and laboratory plasma systems. However, the narrow geometry produces complex charge accumulation and secondary ionization effects that remain difficult to measure experimentally. To address this challenge, our research develops and applies a multi-dimensional Particle-in-Cell with Monte Carlo Collisions (PIC-MCC) simulation of a DC discharge in 1-D, 2-D, and 3-D configurations that model a constricted-anode device. PIC-MCC is a first-principles method that tracks electrons and ions individually while computing self-consistent electric fields and incorporating energy-dependent collision processes. This approach enables direct visualization …
Precise Stellar Age Constraints And Habitable Zone Evolution In Exoplanet Systems, Grace Henry
Precise Stellar Age Constraints And Habitable Zone Evolution In Exoplanet Systems, Grace Henry
Discovery Day - Daytona Beach
Accurate stellar ages are fundamental to interpreting the evolutionary histories of habitable zone (HZ) planets. Because stellar luminosity evolves over time, HZ boundaries migrate outward, meaning that present-day HZ planets may have experienced very different irradiation environments earlier in their evolution. Accurate ages are therefore required to estimate HZ residence times and place planetary habitability in an evolutionary context. We use the Bayesian Analysis of Stellar Evolution with nine parameters (BASE-9) code to constrain ages and masses for exoplanet host stars with planets located in the HZ. Our sample includes single stars with effective temperatures of 4475–7200 K that host …
A Survey On Machine Learning Applications For Operating System Fingerprinting, Siri Siqveland
A Survey On Machine Learning Applications For Operating System Fingerprinting, Siri Siqveland
Discovery Day - Daytona Beach
In the modern age of computers and interconnected networks, cybersecurity and cyber-attackers are evolving in tandem to exploit each other’s vulnerabilities. One technique used by both parties is Operating System Fingerprinting (OSF): with the knowledge of what Operating System a target system is running, innate vulnerabilities can be identified and patched or exploited. Historically, OSF utilizes two main methods: passive and active—the former trades accuracy with undetectability while the latter is generally more detectable but more accurate. However, recent work has combined OSF with Machine Learning (ML) to improve accurate identification. The work presented here is a survey for the …
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 …
Tess Study Of Wolf-Rayet Stars In The Large Magellanic Cloud, Benjamin Katz, Kassidy Myers, Bailey Wolf, Anthony Fabrega, William Punches
Tess Study Of Wolf-Rayet Stars In The Large Magellanic Cloud, Benjamin Katz, Kassidy Myers, Bailey Wolf, Anthony Fabrega, William Punches
Discovery Day - Daytona Beach
TESS Study of Wolf-Rayet Stars in the Large Magellanic Cloud Wolf-Rayet (WR) stars are massive and rare stars whose evolution is mainly changed by stellar winds or binary interactions. In a lot of cases, WR stars are found in binary systems with a companion star, often an O-type star, which can help astronomers find the mass and other properties of the WR star. The Large Magellanic Cloud (LMC), located about 50 kpc from the Milky Way, has a lower metallicity than the Milky Way which makes it a useful place to study Wolf-Rayet stars. For this project, we will study …
Real-Time Fused Sensor System For Early Onboard Detection Of Weather Phenomena, Sanjana Singh
Real-Time Fused Sensor System For Early Onboard Detection Of Weather Phenomena, Sanjana Singh
Discovery Day - Daytona Beach
Weather-related hazards continue to be a major cause of operational interruptions and safety issues in the aviation sector. Atmospheric phenomena, including turbulence, microbursts, convective storms, and rapidly changing boundary-layer conditions, can arise quickly and often occur on spatial scales that are not adequately addressed by regional forecasting systems. These phenomena particularly endanger aircraft flying at low altitudes, such as general aviation planes, unmanned aerial vehicles (UAVs), and those during takeoff and landing Although meteorological forecasting systems and ground-based radar networks offer important regional insights, they may fail to detect localized atmospheric variations encountered along specific flight routes. Consequently, pilots and …
From Sunscreen To Seafood: Tracing The Ecological And Human Health Risks Of Oxybenzone Contamination In Local Fish, Alyssa Brasko
From Sunscreen To Seafood: Tracing The Ecological And Human Health Risks Of Oxybenzone Contamination In Local Fish, Alyssa Brasko
Discovery Day - Daytona Beach
Oxybenzone (benzophenone-3) is a widely used ultraviolet (UV) filter in sunscreens, offering protection against harmful radiation but raising significant environmental concerns due to its persistence and toxicity in aquatic ecosystems. This ongoing study aims to investigate the bioaccumulation and ecological impact of oxybenzone in fish species along Florida’s Space Coast, contributing to a broader understanding of its environmental fate and potential human exposure through seafood consumption. The research will employ advanced analytical techniques, including Gas Chromatography-Mass Spectrometry (GC-MS) and High-Performance Liquid Chromatography (HPLC), to quantify oxybenzone levels in locally sourced fish. Fish samples will be obtained from the non-profit organization …
Stress-Triggered Automation Reliance, Jazmin Elek
Stress-Triggered Automation Reliance, Jazmin Elek
Discovery Day - Daytona Beach
Automation is widely used in complex systems and includes any process that replaces human motor, sensory, or cognitive functions with machines or computers (Norman, 1996). As automation becomes more common, understanding how humans trust and interact with these systems is critical. Trust can be measured by whether users override automation or blindly follow its prompts (Norman, 1996). Artificial intelligence (AI) introduces additional complexity by enabling systems to learn patterns from data it generates. AI performs tasks with the ability to learn from experience (NASA, 2024). AI builds internal databases that can mimic human-like responses (Norman, 1996). However, AI systems can …
Unveiling Stellar Core Depletion In Ngc 4649 With Jwst Nircam, Sydney Krause
Unveiling Stellar Core Depletion In Ngc 4649 With Jwst Nircam, Sydney Krause
Discovery Day - Daytona Beach
Galaxies are considered to have depleted cores when the central region’s concentration of stars is lower than typical, a feature linked to supermassive black hole formation and vital in galaxy evolution studies. In this project, “Unveiling Stellar Core Depletion in NGC 4649 with JWST NIRCam”, Space-based archival data from the James Webb Space Telescope (JWST) Near Infrared Camera (NIRCam) was utilized for several forms of analysis. Initial analysis involved accessing these images via SAO DS9, an astrophysics software for viewing and manipulating files. These images were analyzed using Photoutils, a Python based coding package, part of the Astropy extension. To …
The General Solution Analysis Of Homogeneous Linear Equations, Jacob Schwamb, Edward Whipple
The General Solution Analysis Of Homogeneous Linear Equations, Jacob Schwamb, Edward Whipple
Discovery Day - Daytona Beach
The general solution analysis of homogeneous linear equations are any systems of equations in which all constant terms are equal to zero is classified as a homogeneous linear equation. Some key characteristics of homogeneous linear equations are that there are “zero” solutions, where every system has at least a single solution where all variables are zero, also all solutions to any homogenous linear equation is linearly independent, along with having preserved homogeneity, where if any variable (x) may be added to the system, then any scalar multiple of the variable is also a solution. The General solution of any homogeneous …