Physical Sciences and Mathematics Commons^™

Globally-Attractive Logarithmic Geometric Control Of A Quadrotor For Aggressive Trajectory Tracking, Jacob C. Johnson, Randal W. Beard

Utah Space Grant Consortium

We present a new quadrotor geometric control scheme that is capable of tracking highly aggressive trajectories. Our geometric controller uses the logarithmic map of SO(3) to express rotational error in the Lie algebra, and we show that it is globally attractive without requiring a complicated hybrid switching scheme. We show the performance of our controller against highly aggressive trajectories in simulation experiments. Additionally, we present an adaptation of this controller that allows us to interface effectively with the angular rate controllers on an onboard flight control unit and show the ability of this adapted control scheme to track aggressive trajectories …

Large Earthquakes' Effect On The Ionosphere, Aaron Houston

Physics Capstone Projects

The ionosphere is a part of the Earth’s atmosphere that stretches from 80 – 600 kilometers. Gases in this area are ionized which creates a range of free electrons that make up the plasma of the ionosphere. A group of these electrons is known as Total Electron Content (TEC), which is responsible for signal delays between satellites in orbit and their GPS receivers on the surface. Using this delay, the TEC in a specific region can be calculated. This helps in GPS error analysis. During the earthquake in Japan on March 11, 2011, there was allegedly a noticeable jump in …

Improving The Efficiency Of The Preconditioning Of Iterative Solutions To The Kinetic Equation, D. Caleb Price

Physics Capstone Projects

To achieve the reality of fusion, a greater understanding of plasma is required. The kinetic equation can be evolved simultaneously alongside the fluid equations to solve for kinetic closures. NIMROD performs this with numerical solvers where the General Minimum Residual (GMRES) solver becomes more efficient with a preconditioning matrix as input. Using a GPU-enabled library, the efficiency of GPU offloading to the preconditioning step was tested. A significant decrease in the factoring time of preconditioning matrix was observed. This suggests that the allocation of GPUs is worth investigating for NIMROD’s own benefit, but also anyone seeking to improve the efficiency …

Indexer++: Workload-Aware Online Index Tuning With Transformers And Reinforcement Learning, Vishal Sharma, Curtis Dyreson

Computer Science Student Research

With the increasing workload complexity in modern databases, the manual process of index selection is a challenging task. There is a growing need for a database with an ability to learn and adapt to evolving workloads. This paper proposes Indexer++, an autonomous, workload-aware, online index tuner. Unlike existing approaches, Indexer++ imposes low overhead on the DBMS, is responsive to changes in query workloads and swiftly selects indexes. Our approach uses a combination of text analytic techniques and reinforcement learning. Indexer++ consist of two phases: Phase (i) learns workload trends using a novel trend detection technique based on a pre-trained …

Seasonal Variations In Global Ionospheric Total Electron Content, Jason Knudsen

Physics Capstone Projects

As the Sun ionizes atoms and molecules in the Earth’s ionosphere, the region of atmosphere above approximately 100 km in altitude, the created ionization in this region affects many of the systems that we rely on in daily life. This includes cellular service, GPS navigation, weather forecasting, and credit card data. A good measure for the level of ionization in the ionosphere is total electron content (TEC), which is the number of electrons in a square column above a given geographic location. The TEC over a geographic location influences the propagation of radio waves that traverse that section of the …

Acoustic Waves In The Upper Atmosphere, Geoffrey Blayne Schulthess

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Atmospheric waves can be generated by tropospheric sources such as earthquakes and explosions, causing significant disturbances in the upper atmosphere and ionosphere, where radio wave communications take place. For this analysis, they will be separated into two sub-groups called acoustic waves and gravity waves. Because each of these waves have unique frequency ranges, they can be observed and measured in order to determine their source type and location. Past studies attempted to build the connections between these waves with severe storms and earthquakes, which have improved our understanding of their complexity. Because of the complex nature of these waves, simplified …

Analyzing Suicidal Text Using Natural Language Processing, Cassandra Barton

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Using Natural Language Processing (NLP), we are able to analyze text from suicidal individuals. This can be done using a variety of methods. I analyzed a dataset of a girl named Victoria that died by suicide. I used a machine learning method to train a different dataset and tested it on her diary entries to classify her text into two categories: suicidal vs non-suicidal. I used topic modeling to find out unique topics in each subset. I also found a pattern in her diary entries. NLP allows us to help individuals that are suicidal and their family members and close …

Characteristics Of Mesospheric Temperature And Gravity Waves Over Chile In 2020-2021, Damien M. Devitt, Kenneth Zia

Physics Capstone Projects

Gravity waves (GWs) are often confused with gravitational waves in the fabric of space time. However, there is a clear distinction between them. Gravity wave is a term used by the atmospheric research field to describe perturbations in the atmosphere. Gravity pulls the perturbations down and causes oscillations, these present in the form of waves. The best visualization is to think of ripples on a pond, as the ripple reaches its peak gravity pulls the ripple down and creates an oscillating effect.

Visions Of Science: An Art Historical Exploration Of Medieval Scientific Manuscripts, Olivia Brock

Undergraduate Honors Capstone Projects

The late 16th century saw a new movement in the world of science to push scientific ideas and practice out of academia and into the hands of the layman. No longer were scholars the sole proprietors of science –everyday laborers, craftsman, and artists now had practical scientific principles at their fingertips that they could incorporate into their professions. This new spread of science was facilitated in several ways, including the publication of books incorporating detailed, explanatory images, new utilitarian instruments, and public lectures. Though science was disseminated through a variety of means, I have been particularly interested in the ways …

Fingerprinting Paleo-Groundwater Sources Using Stable Oxygen And Iron Isotopes Of Iron Oxide Concretions From The "Boiler Room", Moab Area, Utah, Connor Frederickson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Isotopes are naturally occurring atoms of an element that vary in the number of neutrons present in their nuclei, resulting in different atomic masses. The most common stable isotopes of oxygen are oxygen-18 (¹⁸O) and oxygen-16 (¹⁶O). Geochemical processes, such as the formation of a solid mineral from dissolved elements in a fluid, can result in preferential concentration of one isotope over the other in a process known as fractionation. By measuring the ratio of ¹⁸O and ¹⁶O in solid minerals and using known fractionation values, the isotopic ratio of the fluid from which …

Artificial Intelligence And Deep Reinforcement Learning Stock Market Predictions, Andrew W. Brim

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Billions of dollars are traded automatically in the stock market every day, including algorithms that use artificial intelligence (AI) techniques, but there are still questions regarding how AI trades successfully. The black box nature of these AI techniques, namely neural networks, gives pause to entrusting it with valuable trading funds. This dissertation applies AI techniques to stock market trading strategies, but it also provides exploratory research into how these techniques predict the stock market successfully.

This dissertation presents the work of three research papers. The first paper presented in this dissertation applies a artificial intelligence technique, reinforcement learning, to candlestick …

A Multi-Scalar Socio-Policy Analysis Of Resource Reallocation And Water Security In Twenty-First Century Utah, Usa, Clint P. Carney

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

As drought and a warming climate continue to impact the western United States, balancing the water needs of cities, agriculture, and natural systems is becoming increasingly more complex. One approach commonly promoted to address water supply issues is the transfer of water between users via markets. However, markets for water face multiple obstacles that can often be costly for participants due to constraints inherent in western U.S. water law. Coinciding with issues of cost, water markets must overcome disinterest among water rights holders in releasing their water rights for uses even if temporarily. Moreover, water transfers bring to light the …

Development Of A Machine Learning-Based Financial Risk Control System, Zhigang Hu

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

With the gradual end of the COVID-19 outbreak and the gradual recovery of the economy, more and more individuals and businesses are in need of loans. This demand brings business opportunities to various financial institutions, but also brings new risks. The traditional loan application review is mostly manual and relies on the business experience of the auditor, which has the disadvantages of not being able to process large quantities and being inefficient. Since the traditional audit processing method is no longer suitable some other method of reducing the rate of non-performing loans and detecting fraud in applications is urgently needed …

Yang-Mills Sources In Biconformal Double Field Theory, Davis W. Muhwezi

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

There is a robust and unifying approach to unraveling the roiling mysteries of the universe. Our most compelling accounts of physical reality at present rest on symmetry arguments that are conspicuously geometrical!

105 years ago, Albert Einstein derived gravity from Riemannian geometry. In the general theory of relativity, the world of our experience is a pseudo-Riemannian manifold whose curvature represents the gravitational field. Encoded in the Einstein field equation is how matter sources (energy-momentum tensor) couple to gravity (spacetime curvature). Schematically, the Einstein equation exhibits a more general structure:

Curvature of Spacetime = Material Sources

On one side of the …

Dynamical Systems Analysis In Adaptive And Metapopulation Ecology With Applications To Conservation Management, Guenchik Grosklos

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The ability for a species to persist largely relies on how well they adapt to the environment and their interactions with local and global communities. Specifically, if adaptation occurs quickly enough or nearby communities sufficiently promote growth rates, populations at risk of extinction may persist. In this dissertation, we first develop a method that estimates and compares rates of change in time series data of population densities and measurable traits (phenotypes). Additionally, we compare between genetic (evolutionary) and non-genetic (plastic) trait change to determine whether phenotypes change faster when driven by evolutionary or plastic change. We then focus on metapopulation …

Stability, Electronic Structure, And Nonlinear Optical Properties In Clusters And Materials: A Synergistic Experimental-Computational Analysis, Maksim Kulichenko

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The main objective of Chemistry as a science is an understanding of how and why certain atoms are bonded together and what effects these bonds cause. Modern computational chemistry offers a wide range of tools that greatly assist the exploration of vast chemical space replacing expensive trial-and-error experimental approaches. Computational chemistry may serve to characterize newly synthesized compounds and provide atomic scale insights inaccessible to experimentalists’ vision. Moreover, predictive power of computational chemistry may be used as a guidance for future experiments and for the rational design of new compounds with desired properties.

This dissertation demonstrates the capabilities of joint …

A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The multiplication algorithms taught to elementary students are made to help students find answers quickly, but why the algorithm works and how it relates to multiplication is not widely known. For example, one intuitive meaning of multiplication is that of iterated, or, repeated, addition. In this paper, we look at the ways a visual, block-based, programming activity uses the concept of iteration to help second-graders learn multiplication. The results of the study observing second-grade students use visual programming and iteration to setup and solve multiplication story problems. We found that generally students enjoyed these activities and found them helpful during …

The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many mathematics teachers are not prepared to design valid and usable measurements of their students’ mathematical achievements. There are relatively few opportunities for mathematics teachers to improve their assessment literacy. The purpose of this study is to (1) design a course on assessment for inservice mathematics teachers and (2) evaluate the effectiveness of the course. This paper recounts the development of the course and its influence on 16 teachers. Teachers who completed the course submitted a unit outline with learning objectives, a test blueprint, and a unit test. These artifacts influenced my evaluation on the effectiveness of the course. All …

Shallow Composition And Structure Of The San Gabriel Fault, California In Drill Core And Geophysical Logs: Implications For Fault Slip And Energetics, Kaitlyn A. Crouch

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Earthquakes are the sudden and intensive release of energy due to slip along faults. This energy may be felt on the Earth’s surface and may cause displacement of the Earth’s crust (seismic slip). As an earthquake ruptures, rocks in and around the fault are damaged and altered. When a fault displaces without earthquakes, it is referred to as aseismic creep. Faults may experience both seismic slip and aseismic creep throughout their cycles. In order to better model earthquake hazards and understand the cause of seismic slip versus aseismic creep in the shallow crust, we need to characterize the properties of …

Fitting Physical Models To Spatiotemporal Observations: Discovering Developmental Regulatory Networks Of Drosophila, Dj Holt

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Deep learning continues to solve significant scientific and engineering problems, but the solutions found are neural networks with thousands of parameters that provide no scientific or engineering insights. A solution to this problem, explored in this work, is to learn mathematical models that represent mechanisms that can be interpreted by scientists and engineers.

A challenging learning problem is to discover the genetic regulatory mechanisms that drive pattern formation during early biological development. Using known mathematical models of these processes, consisting of coupled ordinary differential and partial differential equations, we aim to identify the model parameters that describe the biological mechanisms …

Designing And Decoding Chemical Bonds: A Computational Pipeline Backed Up By Magnetic Criteria And Experiment, Nikita Fedik

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

You may find plenty of definitions of chemistry but all of them, explicitly or not, are centered around chemical bonds. When we say “chemical properties”, “reactivity”, “stability”, “structure” etc., we have in mind chemical bonds and their reorganization which almost completely defines the behavior of the matter. Why some materials are ultrahard and can cut through steel while others are so soft that you can form them with your bare hands? You probably have already guessed that it occurs because their chemical bonding is very different. Although the elemental composition could be the same! In this Dissertation, we report results …

Life And Death In A Dynamic Environment: Invasive Trout, Floods, And Intraspecific Drivers Of Translocated Populations, Brian D. Healy, Phaedra Budy, Mary M. Conner, Emily C. Omana Smith

Wildland Resources Faculty Publications

Understanding the relative strengths of intrinsic and extrinsic factors regulating populations is a long-standing focus of ecology and critical to advancing conservation programs for imperiled species. Conservation could benefit from an increased understanding of factors influencing vital rates (somatic growth, recruitment, survival) in small, translocated populations, which is lacking owing to difficulties in long-term monitoring of rare species. Translocations, here defined as the transfer of wild-captured individuals from source populations to new habitats, are widely used for species conservation, but outcomes are often minimally monitored, and translocations that are monitored often fail. To improve our understanding of how translocated populations …

Energy Extraction From Black Holes, Alexandra Chanson

Student Research Symposium

I will discuss some background on black hole magnetohydrodynamics and then explore some recent results in higher-dimensional monopole power extraction

Synthesis Of A Novel Carbon Monoxide-Releasing Gallium Flavonol Complex, Joel Ashton

Student Research Symposium

Carbon monoxide (CO) has unique therapeutic properties including anti-cancer effects. Flavonols such as 3-hydroxyflavone can release CO upon exposure to visible light. Gallium(III) also has anti-cancer properties and can replace Fe(III) in biological processes. This research was focused on synthesizing a complex of gallium(III) and 3-hydroxyflavone which can hopefully combine the anti-cancer properties of both gallium and CO. Initial attempts to synthesize the complex mimicked those of transition metal flavonol complexes using a base to deprotonate the flavonol and stirring with gallium salt. The most successful synthesis developed involved dissolving 3-hydroxyflavone and gallium nitrate in ethanol and DMSO, adjusting the …

Investigating Position 312 In Prmt1 For Future Fluorescent Labeling Studies, Sarah Nielson

Student Research Symposium

Protein arginine methyltransferase 1 (PRMT1) is an enzyme that post-translationally methylates other proteins in the cell. These methylation events play critical roles in maintaining cellular health. Labeling PRMT1 site-specifically will enable further research in PRMT1 oligomeric state in vivo and can be applied in future fluorescent studies. The intention of this research was to identify a position to label PRMT1 that does not affect oligomerization or activity. Position 312 was chosen as the site for specific tagging as it will have less interference in oligomerization, minimizes free rotation of fluorescent tags, and is surface-exposed. To confirm that position 312 was …

Isotopic Analysis Of Hydrous Phenocrysts In Lava Flows Of The Peruvian Altiplano Plateau: Testing For A Subduction Signature, Alyssa Schiwal

Student Research Symposium

The process of flat-slab subduction introduces fluids directly into the overlaying lithosphere, leaving behind a unique stable isotope and trace element signature to the surrounding crust/mantle. Fluid alteration of the deep lithosphere can help explain geologic processes that are observed at the surface, such as patterns of crustal deformation (mountain building) and volcanism. The young high-K mafic volcanic rocks found in the Altiplano region of Southern Peru are derived from the melting of an altered mantle source. By analyzing the hydrogen stable isotopes as well as the trace elements of these volcanic rocks we can locate the water source associated …

Modeling The Spread Of Curly Top Disease In Tomato Crops, Rachel Frantz

Student Research Symposium

Curly Top disease (CT), caused by a family of curtoviruses, infects a wide variety of agricultural crops. Historically, CT has caused extensive damage in tomato crops resulting in substantial economic loss for the tomato industry. Control methods for CT are scarce, and methods for predicting and assessing the scope of CT outbreaks are limited. In this paper, we formulate two theoretical models, a deterministic model and a stochastic model, for the spread of CT in a heterogeneous environment consisting of beets (preferred host) and tomatoes. The models are composed of two susceptible classes and two infected classes (infectious beets and …

Small-Scale “Atmospheric Perturbations” With A Horizontal Scale Of A Few Tens Of Meters, Jonas Hamrick

Student Research Symposium

The objective of this investigation isto identify and understand the small-scale atmospheric perturbations with a horizontal scale of a few tens of meters, based on a novel Na imager. These extremely small perturbations in this altitude range are believed to contribute considerably to the dynamics in the upper mesosphere and lower thermosphere, ranging between ~ 80 to 110 km. By changing the intensity of these Na images to mesospheric Na number density, we can derive the amplitudes of these perturbations based on the Na mixing ratios that provides a direct measure of the perturbation magnitudes. The perturbations of such scale …

Characteristics Of Mesospheric Temperature And Gravity Waves Over Chile In 2020-2021, Damien Devitt

Student Research Symposium

Atmospheric gravity waves (AGWs) that propagate up into the mesospheric region break and transfer energy into the region. This energy process affects seasonal temperatures in the mesosphere and has important implications for rocket launches and GPS satellites. Using the Utah State University (USU) Mesospheric Temperature Mapper (MTM) located at the Andes Lidar Observatory (ALO) in Chile (30°S), wave activity and seasonal temperature changes were studied over the Andes Mountain Range from Jan 2020 to the first few months of 2021 for this study. The primary goal of the whole project was to continue the long-term data collection and analysis (since …

Icon Satellite Measurements, Uncertainty, And Error Calculations, Benjamin Bradshaw

Student Research Symposium

NASA's satellite the Icon (Ionospheric Connections Explorer) is a satellite launched in 2019 to better understand the connection between Earth's atmosphere and the space environment. Though its systems were tested before launching further validation of its measurements are needed. This is accomplished through using USU's NA Lidar systems measurements over similar regions. USU's Na Lidar is a robust instrument that has been shown to be valid for many years. Through this comparison Icon's measurements have been shown to not be very precise at its lower measurements regions as it fails to measure a distinct temperature fluctuation around 92 km.