Digital Commons Network^™

Maximizing Returns For Investors Using Modern Portfolio Theory And The Efficient Frontier, Charity Smith Parkinson

Undergraduate Honors Capstone Projects

There exists an efficient frontier upon which there is an optimal point of allocation of an investor’s assets among different types of investment vehicles. Identifying this point and allocating a portfolio accordingly allow an investor to capture the highest market return with the least amount of risk. This research study offers a model which can be used to find this optimal investment allocation and discusses the challenges and assumptions associated with using it. Using techniques discussed in Markowitz (1952), we obtain the optimal allocation of wealth for two portfolios of 13 and 12 assets, respectively. Such a model is not …

Demystification Of Graph And Information Entropy, Bryce Frederickson

Undergraduate Honors Capstone Projects

Shannon entropy is an information-theoretic measure of unpredictability in probabilistic models. Recently, it has been used to form a tool, called the von Neumann entropy, to study quantum mechanics and network flows by appealing to algebraic properties of graph matrices. But still, little is known about what the von Neumann entropy says about the combinatorial structure of the graphs themselves. This paper gives a new formulation of the von Neumann entropy that describes it as a rate at which random movement settles down in a graph. At the same time, this new perspective gives rise to a generalization of von …

Emergent Seedling Spatial Patterns Following Insect Seed Predation In A Simulated Population, Justin Tirrell

Undergraduate Honors Capstone Projects

Tropical vertebrate species have faced increasing pressures from hunters, causing many to become locally extinct. I used an agent-based model (NEDD) to investigate the influence of dispersal and insect seed predation on seedling survival. Statistical dispersal kernels were used to simulate the dispersal of seeds. The NEDD model generates survival and spatial data from parameter sets, which were chosen based on a Latin-Hypercube experimental design. Spatial point analysis was performed on the output data to identify trends in spatial clustering patterns as the parameter space was changed. The results of this investigation suggest that there is a positive association between …

Jefferson's Sensitivities: How Thomas Jefferson's Discussions Of Race And Slavery Are Influenced By Audience, Andrea B. Carlquist-Sagers

Undergraduate Honors Capstone Projects

Thomas Jefferson is often presented as an enigma. He who wrote that “all men are created equal” also owned over six hundred slaves during the course of his life. Jefferson was a man of immense complexity and intelligence and, as such, his beliefs cannot be presented in simplified terms. Although his contradictory positions on race and slavery were common during his time, his hypocrisy received critique from contemporaries. Jefferson was a famously sensitive man, and in order to avoid judgement from his peers, he often either censored himself or used eloquent but empty words to satisfy his disparagers. Some historians …

High Dimensional Event Exploration Over Multiple Simulations, Steven Deron Scott

Undergraduate Honors Capstone Projects

In this project, we introduce a visualization technique to analyze event simulation data. In particular, we allow the user to discover families of events based on the topological evolution of discrete events across simulations. Discovering how events behave across runs of a simulation has applications in financial market analysis, military simulations, physical mechanics, and other settings. Our approach is to use established methods to produce a linearized tour through parameter space of arbitrary dimension and visualize events of interest in two dimensions, where the first dimension is the tour ordering and the second dimension is usually time. This paper presents …

Analysis Of Sat And Isat Scores For Madison School District In Rexburg, Idaho, Holly Dawn Palmer

Undergraduate Honors Capstone Projects

Testing is an integral part of measuring education. If used properly SAT scores can be compared across the nation, and statewide tests can compare different school districts to each other if done properly to avoid certain pitfalls (Fetler, 1991). However, if tests do not have a significant impact on a student, their motivation to take the test will be low and test quality cannot be assumed. When the state funds two separate tests for their students but only one has a significant impact on the student, how should the scores for each test be used, and is it okay to …

Semisimple Subalgebras Of Semisimple Lie Algebras, Mychelle Parker

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Let g be a Lie algebra. The subalgebra classification problem is to create a list of all subalgebras of g up to equivalence. The purpose of this thesis is to provide a software toolkit within the Differential Geometry package of Maple for classifying subalgebras of In particular the thesis will focus on classifying those subalgebras which are isomorphic to the Lie algebra sl(2) and those subalgebras of which have a basis aligned with the root space decomposition (regular subalgebras).

Using Imagery To Improve Program Quality In Computer Programming, Joseph S. Ditton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A common practice in sports is to review film footage of a game. This is done in the hope that individuals on the team or the a team as a whole might learning something about technique, form, process, or strategy that they either did well on or need to improve on. We believe that the benefits of doing this could extend to computer science, and more specifically, the process of writing a computer program. This has never been done in the past, as such this research is exploratory in nature. A new tool called Phanon can record someone writing a …

Accuracy Of The Generic Equation To Convert Cci To Chlorophyll Concentration In The Apogee Model Mc-100 Chlorophyll Concentration Meter, Shuyang Zhen, Paul Kusuma

Techniques and Instruments

Chlorophyll strongly absorbs photons below 700 nm and transmits above 700 nm. Because of this property, chlorophyll concentration can be estimated by measuring the ratio of transmitted photons though a leaf at specific wavelengths. Chlorophyll concentration is then calculated using empirical relationships.

Electron Yield Of A Carbon Fiber Composite, Matthew Robertson

Utah Space Grant Consortium

As electron yield models continue to evolve and improve, a study of carbon fiber materials was conducted to try and understand more complex nanoscale structures and their influence on electron yield.

Fabrication Of Suspended Microbolometers On Soi Wafers, Isaac Maxfield

Physics Capstone Projects

A bolometer is a device to measure radiation energy by converting photon energy into heat on an isolated absorber. We plan to use carbon-nanotube (CNT) based absorber to enhance the photon absorption. The absorber is a few microns in size and is suspended with micron-sized bridges which also support metal lines for electrical measurements.

Determining The Phase Of The Diurnal, Solar Thermal Tidal Wave In The Upper Atmosphere Using Nighttime Na Lidar Measurements, Trevor Harshman

Physics Capstone Projects

Solar thermal tidal waves play a critical role in the dynamics of the mesosphere and thermosphere. Obtaining measurements of the diurnal tidal wave above 100 km is difficult. This could be solved using a physics-based empirical model. To derive this model requires knowing the phase at different points along the tidal wave. In this study, I determine the phase at multiple points along the thermal diurnal tidal wave using measurements taken by a fluorescence lidar in the range of 80 to 100 km. A simple calculation of the phase based on the zeroes and extrema of the wave is demonstrated.

Monte-Carlo Methods And The Step-Back Kalman Filter For Orbital State Estimation, Louis Tonc

Utah Space Grant Consortium

This research assesses the performance of filtering schemes for tracking uncooperative satellites through space-based optical measurements, and identifies a simple and numerically stable methodology that ameliorates the poor performance of standard filtering schemes at a substantially reduced cost in comparison to nonlinear particle filter-based remedies. Traditional filtering schemes, such as the extended Kalman filter (EKF) and unscented Kalman filter (UKF), both diverge when tracking a resident space object (RSO) in geosynchronous orbit (GEO) when there is a long time duration between measurements. This divergence is identified as a consequence of nonlinearity in the dynamics and nonlinearity in the optical measurements, …

Using Geologic And Geodetic Analyses To Define The Location, Slip Rate, And Geometry Of Off Fault Deformation, Hidden Spring Fault Zone, Southern California, Rebekah Riemann, Andrea Donnellan, Jay Parker

Utah Space Grant Consortium

A strain deficit of about 10 mm/yr exists across the San Andreas Fault system on the boundary between the North American and Pacific plates. We investigate the role of the Hidden Spring Fault Zone, east of the Salton Sea in Southern California, and related structures in accommodating some of this slip. We compile data from historic and current aerial and satellite imagery, coupled with UAVSAR and LiDAR data have allowed us to identify and map hundreds of new fault segments in the region. Where possible, we correlate some of these data with geologic evidence for the faults. These data emphasize …

Applying The Optimal Estimation Method For Retrieving Rayleigh-Scatter Lidar Temperatures In The Mesosphere, Jonathan Price, Robert Sica, Ali Jalali

Utah Space Grant Consortium

The Rayleigh-scatter lidar (RSL) system at the Atmospheric Lidar Observatory at Utah State University (ALO-USU) provided a rich database of absolute temperatures throughout the mesosphere from 45 km to above 90 km between 1993 and 2004. Recently, a new method for retrieving absolute temperatures from RSL observations has been developed by a group at the University of Western Ontario (UWO), Canada. The Optimal Estimation Method (OEM) uses machine learning to minimize a cost function by optimizing the temperature parameter in a forward model, in our case the lidar equation, to RSL data. This optimization provides some benefits over the existing …

Validating A Finite Element Model With Ansys Workbench For Isotruss® Structures Subject To Uniaxial Compression, Hanna B. Opdahl

Utah Space Grant Consortium

The purpose of this study is to develop, verify, and validate a finite element (FE) model of IsoTruss® structures subject to uniaxial compression. The FE model is implemented in ANSYS WorkBench and verified using axial stiffness and critical buckling loads that are derived from traditional mechanics. The buckling failure modes include global buckling and local bay buckling. The predictions from the FE model and mechanics calculations are validated by experimental data generated in preceding studies. Results indicate that the effective material modulus is highly affected by variations in manufacturing. Adjustment factors are applied to the nominal material properties to accurately …

Extreme Ultraviolet Application Of Carbon Nanotube Structures, Scott Olsen, Richard Vanfleet, David Allred, Steve Turley

Utah Space Grant Consortium

Windows for extreme ultraviolet (EUV) sources are challenging because of the lack of transparent materials in these wavelengths. Thus, differential pumping apertures and slits are standard. Our group has developed a carbon nanotube (CNT) window consisting of a dense array of square holes. The open area allows a large range of wavelengths to be transmitted, and the high density of holes restricts gas flow, allowing a large pressure difference with differential pumping. The versatility of CNTs allows us to select the peak transmission and pressure ratio (low/high). We have observed pressure ratios of 0.000924, 0.000667, 0.000494, and 0.00118 for air …

Growing Food In Space: A Comparison Of Led And Solar-Fiber-Optic Technologies, Paul Kusuma, J. Matthew Hardy

Utah Space Grant Consortium

Growing food on Mars for long-term space exploration has many benefits including reduced fuel and cost requirements for lift-off, improved nutrition and psychological benefits for astronauts, air purification, and oxygen and water regeneration. However, complications are caused by the thin atmosphere on Mars, which would force production underground or into a heavily armored shelter. Providing the massive number of photons necessary to grow food is expensive and careful consideration must be made regarding the most promising technologies. The two most promising options are a combination of either concentrating mirrors coupled to solar-fiber-optics (SFO), or photovoltaics (PV) coupled to light-emitting diodes …

Leveraging Commercial Nuclear Reactors To Power Space Exploration, Ben Johnson

Utah Space Grant Consortium

This study is aimed at exploring the adaptation of commercial nuclear reactors as an alternative to NASA’s current high-power fission reactor systems, particularly with respect to applications on the surface of Mars. The study concludes that while the Kilopower architecture is brilliantly poised to provide affordable, near-term power in the 1-10 kilowatts electric (kWe) range, the financial barrier to higher power scaling of such systems is significant. This financial barrier adds risk to the development of greater than 10kWe systems and is likely to result in the failure to successfully scale the technology to higher powers for space exploration applications. …

Model Reference Predictive Adaptive Control For Large Scale Soft Robots, Phillip Hyatt, Curtis Johnson

Utah Space Grant Consortium

Past work has shown Model Predictive Control (MPC) to be an effective strategy for controlling continuum joint soft robots using rudimentary models, however the in-accuracies of these models often mean that an integration scheme must be combined with MPC. Presented in this work is a novel dynamic model formulation for continuum joint soft robots which is more accurate than the authors’ previous models yet remains fast enough for MPC. This model is based on the Piecewise Constant Curvature (PCC) assumption and a relatively new configuration representation and allows for computationally efficient simulation. Due to the difficulty in determining model parameters …

Internal Waves Generated From Asymmetric Topographies, Kyle Hakes

Utah Space Grant Consortium

Internal waves are a key part of the energy budget of the ocean and atmosphere. The generation of internal waves in the ocean from tides is dependent on the frequency of oscillation, the profile of the underwater mountain range, and the density of water in the surrounding ocean. A study of the effect of an asymmetric mountain range, with varying pro-files, on the generation of internal waves is presented. Results begin to indicate that the wave is mostly similar when generated on either side of the topography, but might extend to higher wavenumbers in Fourier space when generated on the …

Ensuring Extramobile And Intramobile Motion On Cylindrical Developable Mechanisms, Jared Butler

Utah Space Grant Consortium

Developable mechanisms offer the ability to deploy to perform tasks then return to a hidden position along or interior to a predetermined developable surface. It is often advantageous for these mechanisms to not penetrate the surface along which they conform. This paper presents the limits of extramobile and intramobile motion (motion exterior to and interior to a developable surface). Three conditions are identified that determine a limit of extramobile and intramobile behavior. It is shown that the more difficult of these conditions to predict is never reached prior to the more simple cases. This is demonstrated for all possible Grashof …

Byu Rocketry, Joseph Andrews, Bradley Buttars, Mark Johnson, Zachary Lawless, Jodi Pham, Harris Rothaermel, Mark Sweeney

Utah Space Grant Consortium

BYU Rocketry competed in the 2019 Intercollegiate Rocket Engineering Competition at the 3^rd Annual Spaceport America Cup in Las Cruces, NM by building an 8-foot High Power rocket to send an 8.8 lb. CubeSat payload 10,000 ft. above ground level. Over 100 collegiate teams from around the world will competed.

Resistivity Of Nickel Silicide Thin Films, Rylan Woods

Utah Space Grant Consortium

The characterization of resistivity within thin films is paramount for proper integration into modern electronics wherein they show promise as contact materials due to their low contact resistance and high conductivity. Nickel silicide compounds often form in microelectronics at intersections between nickel and silicon, traditionally forming as a variety of intermetallic compounds including NiSi, Ni₂Si, Ni₃Si, Ni₃Si₂, and NiSi₂. Within this study, nickel silicide thin films ranging in thickness from 25nm to 110nm were synthesized on a silicon wafer substrate utilizing vapor deposition at a temperature of 900°C in low …

Implementing Theta-2-Theta Measurements To Measure Mirror Reflectance, Kylie Wolfe

Utah Space Grant Consortium

Our research group studies multilayer mirrors for use in space-based telescopes. The mirror property we are most interested in optimizing is reflectance. In the past, measuring the reflectance of our sample mirrors was difficult, as we either had to travel to the Advanced Light Source in Berkeley, California or we had to conduct and combine the data from many single-axis scans by hand. This made measuring reflectance tedious, error-prone, and time-consuming. By adding an automated theta-2-theta scan to our system, I removed these issues, allowing us to study our mirrors much more efficiently.

A Miniaturized Multi Sensor Array For Balloon-Borne Air Measurements, Phase Ii, Drew Huber, Huiling (Renee) Xie, John E. Sohl, Jeffrey D. Page

Utah Space Grant Consortium

Weber State University’s High-Altitude Ballooning team, HARBOR, is developing a lightweight, flexible, expandable sensor array for both high-altitude balloon flight and low-altitude drone flight.

The system will have the following capabilities:

1.Gas sensor and air quality board/chamber:

a. Gases: CO, CO₂, NO₂, NH₃, SO₂, O₃, VOCs

b. Particulates: PM1, PM2.5, PM10.

2. Metrological data measurement suite:

a.Temperature, pressure (with two sensors), %RH.

b. Wind by proxy for balloon flights via the GPS.

3. Flight dynamics and geolocation suite:

a. High altitude GPS

b. 9-axis inertial measurement: acceleration, gyroscope, and magnetometer. …

Mineralogy Of Great Salt Lake: An Analogue For Martian Evaporites, Calli B. Cahill, Adrik Z. Da Silva

Utah Space Grant Consortium

Gypsum (CaSO₄ · 2H₂O) and mirabilite (Na₂SO₄ · 10H₂O) are common precipitates at the Great Salt Lake (GSL). NASA’s Mars Exploration Rover, Opportunity, found veins of gypsum deposited by water in 2011 and gypsum has been detected on Mars as early as 2005 by the ESA’s Mars Express Orbiter. On Earth, gypsum is formed in hypersaline environments, in minerals left behind when water evaporates, trapping microorganisms in fluid inclusions. Likewise, GSL mirabilite develops when mineral-rich groundwater meets cold winter air to create crystalline structures. While there is no physical evidence of mirabilite …

Great Salt Lake Halophilic Archaea As A Model For Possible Extant Life On Mars, Alex J. Breda, Michael J. Regan Jr.

Utah Space Grant Consortium

Expansive evaporite mineral deposits and other geological features on Mars are evidence of ancient lacustrine systems before the planet experienced global climatic change (~3.5 Ga). On Mars, as the surface water dried up, hypersaline lakes would have filled the ancient lake basins. On Earth, the Bonneville Basin, in the western United States, tells a similar story in a more recent timeframe. Today, the bottom of this basin is the modern Great Salt Lake (GSL) and the Bonneville Salt Flats. Evaporation of this freshwater lake left large evaporitic mineral deposits that continually supply salt to modern GSL. Parts of the lake …

What In Tarnation? Monitoring Animal Entrapments At The Rozel Tar Seeps, Mary Sanchez, Cayla Martin, Jaimi Butler, David Kimberly, Foad Yousef

Utah Space Grant Consortium

The Great Salt Lake (GSL) is one of the largest migratory stops for many species of birds in North America. At Rozel Point, along the banks of the Great Salt Lake, there are tar seeps where some species of birds have gotten entrapped and died. These petroleum seeps are both naturally occurring and human created. The temperature that the seeps become sticky, the possibility of prey animals drawing predators in, and the appearance of the tar seeps are all important aspects of why birds are drawn to these seeps. Using motion sensor cameras and temperature monitoring devices, the animals that …

Spectral Absorption Coefficient Of Additive Manufacturing Polymers, Nicholas J. Wallace, Matthew R. Jones, Nathan B. Crane

Utah Space Grant Consortium

As NASA turns to additive manufacturing processes, there is a need to ensure that the parts they produce are reliable. This is especially true when creating parts in space, where resources are limited and failure could result in catastrophe. Active thermography has shown potential as a non-destructive quality assurance technique for additive manufacturing processes. Heat transfer models used in active thermography techniques require accurate material property measurements in order to extract useful information about the system, including defect location. The spectral absorption coefficient, which determines the depth at which radiative power is absorbed into a surface, is a material property …