Physical Sciences and Mathematics Commons^™

Foundations Of Wave Phenomena: Complete Version, Charles G. Torre

Foundations of Wave Phenomena

This is the complete version of Foundations of Wave Phenomena. Version 8.3.1.

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Introduction To Classical Field Theory, Charles G. Torre

All Complete Monographs

This is an introduction to classical field theory. Topics treated include: Klein-Gordon field, electromagnetic field, scalar electrodynamics, Dirac field, Yang-Mills field, gravitational field, Noether theorems relating symmetries and conservation laws, spontaneous symmetry breaking, Lagrangian and Hamiltonian formalisms.

Determining The Biochemical Mechanisms And Binding Activities Of A Type Iv-A Crispr-Cas Ding Helicase, Matt Armbrust

Fall Student Research Symposium 2021

CRISPR-Cas systems are adaptive prokaryotic immune systems that enable host cells to defend against attack from foreign nucleic acids such as phage infections or plasmids. CRISPR-Cas systems are diverse and encompass 2 classes, 6 types, and 33 subtypes. The Type IV-A CRISPR-Cas system from Pseudomonas aeruginosa strain 83 is composed of five different genes (csf1, csf2, csf3, cas6, and dinG). Type IV-A systems are poorly understood, and currently there is little research detailing their biological and biochemical mechanism of immunity. CasDinG, an ancillary protein within the Type IV-A system, is required for an immune response in vivo. However, the role …

Measuring Irregularity Via Approximate Entropy: How Does Perceived Human Instability Affect One's Own Stability?, Madi Braunersrither

Fall Student Research Symposium 2021

In a study performed at Utah State University, participants were prompted to evaluate the stability of pictured human postures while standing on a force plate. The force plate was used to collect the center of pressure of the subjects by recording measurements in the vertical and horizontal directions. The way these factors fluctuate over time and the irregularity in this fluctuation, specifically, can give insight into the subject’s postural stability. Rather than working with summary statistics such as means and variances of fitting parameters of a distribution as commonly done in statistics, we want to measure irregularity through analyzing the …

Climate Change Impacts On Atmospheric Ammonia And Implications For Human Health, Casey Olson, Connor Snow, Bridger Jorgensen

Fall Student Research Symposium 2021

According to national data Cache Valley has the highest concentrations of atmospheric ammonia in the nation. This study aims to answer the questions of whether climate variables and events such as precipitation, averaged winds, geopotential height, and teleconnections can be used to predict the behavior of pollutants and how human biology is potentially affected. Data from the Utah Climate Center shows that the 3rd yearly quartile has the highest levels of airborne ammonia due to the high levels of fertilizer use and livestock emissions in the farming industry in Cache Valley. After data analysis, there seems to be a connection …

Explicit Synchronized Solitary Waves For Some Models For The Interaction Of Long And Short Waves In Dispersive Media., Bruce Brewer

Fall Student Research Symposium 2021

Four systems have recently been proposed for the study of the interaction of long and short waves in dispersive media. This poster establishes the synchronized solitary wave solutions for one of these systems.

Creating Transparent And Accessible Methods For Approximating The Composite Strength Of Concrete Sandwich Wall Panels, Ruth Taylor

Fall Student Research Symposium 2021

Background: The method of designing partially composite sandwich wall panels (SWPs) relies strongly on the use of percent of composite action. Calculating these values proves to be a complex and virtually inaccessible process for practicing engineers, resulting in the reliance on proprietary software or connector-system manufacturers for the necessary values. We simulated percent composite action data, including several relevant variables, to examine the relationship and determine if simple and accessible methods of calculation could be created. Methods: Code from collaborating engineers used to calculate percent composite action with the Iterative Sandwich Beam Theory (ISBT) method was translated into R, a …

Art As An Educator, Kylie Hansen

Fall Student Research Symposium 2021

When looking at art, eyes are often drawn to the foreground of the canvas, which can leave out many details and not tell the whole story a painting has to offer. The process of analyzing and looking deeper into works of art would be common in a perfect world; its lessons can be universal. Everyone should study art because it increases skills that can be used for many things. Art can reframe views of the world as well as condition the mind to look past quick judgments. Art teaches one to slow down and analyze situations before acting and may …

Understanding How Changes In Precipitation Intensity Will Affect Vegetation In The Western U.S., Cristina Chirvasa

Fall Student Research Symposium 2021

Precipitation events are becoming more intense as the atmosphere warms, but it remains unclear how precipitation intensification will affect plant growth in arid and semiarid ecosystems. There is conflicting evidence suggesting that larger precipitation events may either increase or decrease plant growth. Here, we report the growth responses of herbaceous and woody plants to experimental manipulations of precipitation intensity in a cold, semi-arid ecosystem in Utah, USA. In this experiment, precipitation was collected and redeposited as fewer, larger events with total annual precipitation kept constant across treatments. Results from the first two growing seasons revealed that more intense events ‘pushed’ …

Scattering Of Light From Periodic Conducting Nanostructures, Wesley Mills

Fall Student Research Symposium 2021

Light scattered from periodic structures generates numerous fascinating phenomena, from diffraction patterns to the black patches on some butterfly wings. The simple scalar wave formulation based on Huygens principle can account for many diffraction and radiation patterns in the far field. However, when the structure dimensions are smaller than the wavelength, light polarization and structure details become important, and the vector formulation based on Maxwell's equations is necessary. I will present an analytic calculation and a numerical simulation on light scattering from two-dimensional conducting grids to model the reflectance from butterfly wings and broadband absorption structures made from carbon nanotube …

The Ideal Dog, Owen Graham

Fall Student Research Symposium 2020

The goal of this project was to look into all of the different jobs or tasks that we as humans have dogs perform and try to pinpoint what exactly it is that makes a dog ideal for each task. After identifying desirable characteristics, I considered physical traits in order to create an ideal dog that would be able to perform the greatest number of jobs possible.

National Security & Climate Change, Madison Mortensen

Fall Student Research Symposium 2020

Certain scientific subjects are often divisive or technical, which makes those topics difficult to discuss with audiences outside the scientific sphere. One way of getting around this obstacle is to cater scientific communication to different target audiences to cut through any audience biases. In order to accomplish that, a communicator needs to understand the relationship between audiences' worldviews, and what they know, feel, and do regarding the subject at hand, and then how that relationship influences the types of media audiences trust and to which they respond positively. The following study investigates the worldviews of a military audience with respect …

(2,3)-Cordial Digraphs, Jonathan Mousley, Manuel Santana

Fall Student Research Symposium 2020

This presentation is about graphs (the vertex-edge kind, not the y = f(x) kind). A graph is a mathematical object that represents objects and some relationship among them; the objects are represented by vertices and the relationships are represented by the edges. Graphs have applications in just about every field imaginable, including artificial intelligence, social network theory, and parallel computing theory. A directed graph is a type of graph used to represent relationships that are one-sided or not symmetric. We discuss a graph labeling scheme on directed graphs introduced by LeRoy Beasley called a (2,3)-cordial labeling. In …

Galactic Sources In Gamma-Ray Diffuse Emission, Melissa Rasmussen

Fall Student Research Symposium 2020

The Fermi Large Area Telescope (LAT) has detected hundreds of Galactic gamma-ray sources, most of them pulsars. But the Galaxy contains tens of thousands of such sources which are still undetected due to their low flux, or because of conflation of the foreground with sources. Characterizing the general properties of detected sources would allow us to estimate the contribution to the diffuse Galactic emission from these undetected sources and in turn it would help the detection of new sources and even searches for dark matter. We present updates on our long-term effort to characterize the general properties of Galactic gamma-ray …

Synthesizing Octahedral Polyomavirus Capsids For Cryogenic Electron Microscopy, Miles Robertson

Fall Student Research Symposium 2020

Polyomavirus capsids are polymorphic under different chemical conditions. These capsids have been synthesized artificially using purified VP1, the primary building block of the capsid. Five VP1 proteins come together and form a highly stable structure called a pentamer, and these pentamers can form capsids (Figure 1). Depending on chemical conditions, the capsids can form three distinct sizes: T=7, octahedral and icosahedral (Figure 2). Only one form is found in infectious virions, and its structure has been well studied. However, no high-resolution structure of the octahedral capsid currently exists. The goal of this research is to solve the structure of the …

Enabling Mars Farms Through Microbial Remediation Of Wastewater, Tyler Wallentine

Fall Student Research Symposium 2020

This research evaluates the capacity of photoheterotrophic purple non-sulfur bacteria to utilize wastewater organics to grow and produce nitrogen-rich biomass. Inhibitory components of wastewater are determined. A scaled up production system is designed and utilized to culture bacteria in wastewater. The application of this technology in the production of agriculturally viable amounts of nitrogen-rich biomass is evaluated in the context of a Mars mission and enabling agriculture in a barren environment.

Isolation Of Halotolerant Bacteria From The Rhizosphere Of Ceanothus Velutinus May Lead To Contributions In Plant Health In Saline Conditions, Jacob Davis

Fall Student Research Symposium 2020

The recent rise in the average global temperature has been a driving force over the past few years for rising soil salinity. This presents an especially hostile environment to many plant species that may not have previously been exposed to these conditions. The rhizosphere, which is a layer of soil attached to the roots of a plant, contains microorganisms that contribute to the plants' abiotic and biotic stress resistance. These microorganisms are known as Plant Growth Promoting Rhizobacteria (PGPR). These can play a key role in contributing to plant stress resistance. Some native plants have shown a strong ability to …

Why Dogs Are Feared, Hannah Ericson

Fall Student Research Symposium 2020

From German Shepherds to Pit bulls, a specific breed of dog is often singled out as being more dangerous than the others. There are stories and myths behind the behavior of such breeds, as well as simply looking scary. In this presentation, I will discuss why certain traits in dogs promote fear (such as dark coloring) and why certain breeds promote fear - such as a modern day prejudice that is quite similar to racism in the human society.

Cloning Type Iv-B Crispr System Into A Plasmid, Olivia Gornichec, Kailey Welch

Fall Student Research Symposium 2020

Bacterial CRISPR-Cas systems have recently been repurposed as RNA-guided genome editors in research labs across the world. Yet CRISPR-Cas adaptive immune systems are very diverse and many systems remain uncharacterized. Discovering the structure and function of newly discovered and uncharacterized systems may further advance existing genome editing technologies, or lead to new ones. To better understand the function of the little-researched Type IV-B system we cloned the genes of a Type IV-B system from Mycobacterium J623 into a plasmid containing a target sequence of a Type IV-A and Type V system. The Type IV-B system was placed on the target …

Isolation And Purification Of Bacterial Species From Rhizosphere Of Native Plant Ceanothus Velutinus (Snowbrush), Katherine Webb, Hayden Johns

Fall Student Research Symposium 2020

Due to the ever-changing climate, plants face stressors that limit their growth. Therefore it is vital to find new ways to protect plants from biotic and abiotic stressors such as pathogen infection, drought, heavy metal poisoning, and salinity. With an increasing population, limiting the effects of stress on plant growth and development for agriculture is vital. One approach to this is focusing on beneficial plant-microbe interaction, such as plant growth-promoting rhizobacteria (PGPR). These bacteria are found in the rhizosphere- the soil that is attached to the roots of a plant. Various PGPRs share a symbiotic relationship with plants and help …

The Impact Of Biological Components On A Dog's Personality, Kinsley Batson

Fall Student Research Symposium 2020

We interact with dogs every day, and they are often referred to as "man's best friend." But what makes a dog the happy-go-lucky, cuddly fur ball of happiness that so many love? Similar to humans, there is a nature vs. nurture debate on what shapes a dog's personality. While it is likely a mixture of both, I've researched a variety of biological components that help to make a dog a dog. Some of these include face shape, how their brain responds to audio stimuli, and a specific gene, also found in children with Williams syndrome, that is thought to make …

Dog-Headed: Outcast To All, Wesley Mills

Fall Student Research Symposium 2020

Cynocephali are a group of mythological, dog-headed, humans that appear throughout various cultures. Despite the wide range of region and time period in which they are used, they consistently represent a quality of "otherness".

Autocart: Spatially-Aware Regression Trees For Ecological And Spatial Modeling, Ethan Ancell

Fall Student Research Symposium 2020

Many ecological and spatial processes are complex in nature and are not accurately modeled by linear models. Regression trees promise to handle the high-order interactions that are present in ecological and spatial datasets, but fail to produce physically realistic characterizations of the underlying landscape. The "autocart'' (autocorrelative regression trees) R package extends the functionality of previously proposed spatial regression tree methods through a spatially aware splitting function and novel adaptive inverse distance weighting method in each terminal node. The efficacy of these autocart models, including an autocart extension of random forest, is demonstrated on multiple datasets. This highlights the ability …

Pure Breeding At Its Finest, Justin Hunter

Fall Student Research Symposium 2020

This is a poster of my research on the affects pure breeding has on dogs and their health. There is a focus as well on the focus on neoteny and its affects on dogs.

Dogs In The Home Improve The Quality Of Life Of The People Living Inside, Tanner Stevenson

Fall Student Research Symposium 2020

This poster explores how dogs improve the quality of life of the people they interact with. Regardless of underlying issues that the human faces, every dog helps to improve the situation of that human. From service animals helping to improve the quality of life of their owners in other ways than what meets the eye, to dogs improving the chance of allergy immunity for children, dogs impact the lives of humans for good. This project explores the way that studies have proven the worth of the dog in the home.

The Age And Origin Of Precambrian Orthogneiss Of The Grouse Creek Block, Northern Utah And Southern Idaho, Skadi Kobe

Fall Student Research Symposium 2020

New geochronologic and isotopic analyses from the Grouse Creek block (GC) provide insight into the assembly of western Laurentia during the late Archean to Paleoproterozoic and establish the influence of the GC in the evolution of Yellowstone-Snake River Plain hotspot magmatism in the central Snake River Plain. The GC is primarily exposed in the Albion-Raft River-Grouse Creek metamorphic core complex of northern Utah and southern Idaho and includes a complex assemblage of orthogneiss, schist, amphibolite, and metasediments intruded by Oligocene plutons and overlain by Cenozoic sedimentary units. Many investigations of the GC have focused on the structural evolution of the …

Modeling Reflectance Spectra Of Nanorod Arrays With Arrays Of Light Sources, Christian Lange

Fall Student Research Symposium 2020

It is known that carbon-nanotube forests, nanopillar arrays, and other formations of quasi-periodic nanostructures of various materials (semiconductors, semimetals, and metals) can display a very low light reflectance over a wide range of wavelengths, and that the reflectance eventually starts to rise beyond an onset wavelength. As these materials can be quite reflective in planar form, this phenomenon indicates that morphology rather than material plays a dominant role. However, a quantitative analysis of the reflectance spectra of periodic structures has yet to be established. As a first step, we use an array of light sources to model the reflection from …

Chemical Analysis Of Aerosol Particle Surfaces, Hillary Woolf

Fall Student Research Symposium 2018

Aerosol particles are thought to impact climate properties. The ability to probe aerosols to understand their chemical properties has been difficult due to a lack of appropriate analytical techniques. Here we present interface-specific SHS techniques to allow for in situ analysis of aerosol particles. Transportation of aerosols from their collection site to the laboratory disturbs their chemical and physical properties thus making it difficult to take accurate measurements of aerosol particles. We show that using a CCD detector is a more effective option for producing more sensitive results and can greatly reduce sampling time and could possibly detect measurements from …

Applied Mathematical Programming, Man-Keun Kim, Bruce A. Mccarl, Thomas H. Spreen

Textbooks

This book is intended to both serve as a reference guide and a text for a course on Applied Mathematical Programming for upper undergraduate and Master level students in Economics, Applied Economics, Agricultural and Resource Economics, and Management; primarily based on McCarl and Spreen (2013). The material presented in McCarl and Spreen (2013) concentrates upon conceptual issues, problem formulation, computerized problem solution, and results interpretation; it is designed for the advanced readers who are familiar with mathematical economics including linear and matrix algebra and also with advanced modeling skills. Upper level undergraduate and/or Master students may not be beneficial from …

An Introduction To Differential Geometry Through Computation, Mark E. Fels

Textbooks

The outline of the book is as follows. Chapter 1 reviews some basic facts about smooth functions from IRⁿ to IR^m, as well as the basic facts about vector spaces, basis, and algebras. Chapter 2 introduces tangent vectors and vector fields in IRⁿ using the standard two approaches with curves and derivations. Chapter 3 reviews linear transformations and their matrix representation so that in Chapter 4 the push-forward as an abstract linear transformation can be defined and its matrix representation as the Jacobian can be derived. As an application, the change of variable formula for vector …