Physical Sciences and Mathematics Commons^™

The Simple Zeros Of The Riemann Zeta-Function, Melissa N. Miller

Honors Theses

There have been many tables of primes produced since antiquity. In 348 BC Plato studied the divisors of the number 5040. In 1202 Fibonacci gave an example with a list of prime numbers up to 100. By the 1770's a table of number factorizations up to two million was constructed. In 1859 Riemann demonstrated that the key to the deeper understanding of the distribution of prime numbers lies in the study of a certain complex-valued function, called the zeta-function. In 1973 Montgomery used explicit formulas to study the pair correlation of the zeros of the zeta-function and their relationship to …

Uncovering Cryptic Diversity Of Desmognathine Salamanders In The Cumberland Plateau Utilizing Molecular Genetic Techniques, Katherine E. Ray

Honors Theses

Cryptic species are difficult to identify morphologically; therefore, their distributions are often poorly understood. However, species distributions are critical for evaluating biodiversity in ecology and biodiversity. Dusky salamanders (Desmognathus) are an example of species of North American salamanders that have been particularly difficult to classify. Specifically, in the southern Cumberland Plateau, the dusky salamanders’ distributions are unknown. Desmognathus fuscus and D. conanti have been found to the north and south of the southern Cumberland Plateau, respectively. However, they have not been adequately sampled in this region. I studied genetic variation in the mitochondrial gene CytB in Desmognathus salamanders sampled from …

Effects Of Cigarette Butts On Coastal Waters: An Elemental Analysis Of Seawater From St. Simon’S Island, Katherine Adorati

Honors Theses

Cigarette litter can have detrimental effects on the environment, specifically when taking into account that over 4.5 trillion cigarette butts are littered every year. Within seawater, trace elements present in cigarettes may leach into the ocean, having damaging effects on the marine ecosystem. The goal of this research was to investigate if elemental contaminants leached from cigarette litter are significant in samples of seawater collected near St. Simon’s Island at both high and low tides, surrounding a beach party during the Florida/Georgia football game which occurred on November 1, 2014. Samples were collected in the months prior to and during …

Which Language(S) Are Best (For Web Development), Jackson A. Stone

Honors Theses

This thesis is intended to shine light on the complex nature of the online software ecosystem, in the hopes that it may help students who wish to pursue web development determine how to best spend their time researching and learning varying technologies.

Alkaloids In E-Cigarettes: Their Effects On Cell Growth And Gene Regulation, Maxwell H. Marlowe

Honors Theses

E-cigarettes have become increasingly popular in the past decade. They are marketed as smoking cessation aids. These products have not been well regulated or researched with respect to health concerns and safety issues. A number of toxic compounds have been discovered in refill solutions, and the long-term effects of e-cigarette use are still largely unknown. Nicotine is one of the primary alkaloids within e-cigarette refill solutions. Nevertheless, other tobacco alkaloids are present including; cotinine, myosmine and anabasine, even though these compounds are not disclosed on the packaging. This study uses known amounts of tobacco alkaloids, in an in vitro culture …

Present Value Calculations In Personal Injury, Nicholas J. Klinka

Honors Theses

No abstract provided.

Synthesis And Application Of (R)-3-Methylpyrrolidine-3-Carboylic Acid, Shelby D. Dickerson

Honors Theses

L-Proline is an amino acid widely used in pharmaceutical and biotechnological research due to its catalytic activity and biological relevance. L-Proline has been recognized and utilized as an organocatalyst, which allows cleaner, more sustainable reactions. However, one issue with L-proline is its low solubility in organic systems, limiting its reactivity and efficiency, especially when considering industrial research. Two reactions that utilize L-Proline are the Michael and Aldol but require 100 mol% of L-Proline and 30 mol% of L-Proline, respectively. This research will focus on the synthesis of an analogue of L-Proline utilizing inexpensive, commercially available reagents. A variety of organic …

Applications Of The Sierpiński Triangle To Musical Composition, Samuel C. Dent

Honors Theses

The present paper builds on the idea of composing music via fractals, specifically the Sierpiński Triangle and the Sierpiński Pedal Triangle. The resulting methods are intended to produce not just a series of random notes, but a series that we think pleases the ear. One method utilizes the iterative process of generating the Sierpiński Triangle and Sierpiński Pedal Triangle via matrix operations by applying this process to a geometric configuration of note names. This technique designs the largest components of the musical work first, then creates subsequent layers where each layer adds more detail.

Functionalizing Β-Cyano Oligo(P-Phenylene Vinylene) Chromophores For Use In Mechanochromic Materials, Alexander J. Wink

Honors Theses

Mechanochromic materials are materials that change color upon mechanical deformation. This concept can be applied in areas of quality control, since the knowledge of damaged parts will easily be detected due to a color change in the material that has undergone deformation. Typically these types of materials are enabled by employing functional small molecules. Often, these are conjugated organic molecules or chromophores, which fluoresce different colors determined by the stimulus (or lack thereof) acting upon the material. In this work, we explore a new avenue to elicit color changes in polymeric materials based on the process of restriction of intramolecular …

A Chemical Sensor For Cyanide, Rachel E. Lambert

Honors Theses

The cyanide ion and its gaseous form, hydrogen cyanide, are extremely toxic. Cyanide impairs cellular respiration by inhibiting cytochrome c oxidase, an enzyme in the electron transport chain, leading to cell death.

In a previous study, we synthesized an optical sensor that detects cyanide selectively. The aim of this project is to increase the sensitivity of this sensor. This can be achieved by utilizing the unique spectroscopic properties of lanthanide ions.

The lanthanide metal (europium or terbium) was added to a coumarin-glycine chemodosimeter in a DMSO solvent system. The sensor was titrated with several monodentate analytes including, nitrate, octylamine, 1-pentanethiol, …

Using Intrinsic Properties Of Polyaniline To Sense Expression Of The Microrna Let-7, Jared N. Gloria

Honors Theses

MicroRNAs are approximately 22-nucleotide long RNA molecules that function through decay and translational repression of messenger RNA. The microRNA let-7 is found to play a role in maintaining the fate of differentiated cells in humans. Thus, expression level of this microRNA is a reliable biomarker of tumor cell phenotype. However, there are significant limitations in the current profiling techniques of microRNA. The current methods like northern blotting, microarrays, RT-PCR, or using locked nucleic acid (LNA) for in-situ hybridization are either laborious, semi-quantitative, or expensive. In this research we try to address this issue by developing a fast, specific, and inexpensive …

The Effect Of Acrylic Acid On Ring Formation In Polyacrylonitrile, Elisha Cade Willis

Honors Theses

The addition of comonomers into carbon fiber precursor, polyacrylonitrile (PAN), has shown to have effects on the extent of stabilization and thermal behavior.1 Acrylic Acid (AA) was added at varying initial apparent weight percent and added via semibatch reaction to copolymerize with acrylonitrile to form carbon fiber precursor. Accompanying batch reactions were synthesized for comparison. Degradation was found to be greater in the semibatch reactions although overall was comparable to the batch reactions. Differential scanning calorimetry (DSC) confirmed the addition of higher concentrations of AA into the reaction resulted in a less intense exotherm upon cyclization, along with a greater …

A Fractional Boundary Value Problem, Grant Yost

Honors Theses

We consider a fractional boundary value problem with various boundary conditions. This boundary value problem has two components, one fractional derivative of alpha degree with alpha between n-1 and n, and a fractional derivative of beta degree with beta between 0 and n-2. We prove existence and uniqueness of solutions, and show some examples that were found using a MATLAB simulation.

Investigation Of How Hydrogen Bonding Affects The Enantiomeric Excess Of Pig Liver Esterase Promoted Hydrolysis Of Pro-Chiral Substrates, Jacob E. Pruett

Honors Theses

Pig Liver Esterase is a cost effective enzyme for ester hydrolysis. In our group, it is vital for creating chiral molecules for the synthesis of unnatural amino acids of potential biological importance. It has been previously found that the enantiomeric excess (%ee) of the PLE hydrolysis reaction increases drastically with the addition of co-solvents that are able to both accept and donate hydrogen bonds. This research endeavors to see if substrates of enhanced hydrogen bonding ability also increase the stereoselectivity of PLE hydrolyses. Diester malonate was covalently linked with a furan ring in both the third and second position from …

Detection Of Acoustic Sources Using Time-Reversal Methods, Grant E. Tingstrom

Honors Theses

The goal of this research is to characterize the impact of using an equivalent-fluid method for a solid seabed on the use of time reversal procedures for detecting the origin location of an emitted sound. There are two different ways of modeling how sound propagates through water: modeling sound as a ray and modeling sound as a wave. It is easier to model the propagation of sound through water with a ray model; using a ray model allows for the collection of grazing angles with respect to the bottom. These will be important when determining bottom intensity loss of the …

Synthesis Of Acceptors For Use In Donor-Acceptor Copolymers And Characterization Of These Polymers, William D. Walker

Honors Theses

In this thesis, a selenium-derivatized acceptor was synthesized to examine the heavy atom effects of selenium on the position of the frontier molecular orbitals (HOMO/LUMO band gap) as opposed to sulfur in a donor-acceptor copolymer for use in light harvesting and detection applications. Over the course of this research, standard operating protocols for ultraviolet-visible (UV-Vis-NIR) and Fourier transform infrared (FT-IR) spectroscopies, as well as cyclic voltammetry (CV) characterization techniques were established. Once synthesized, the polymers were characterized through use of the established characterization protocols. The selenium-derivatized polymer exhibited a bathochromic shift compared to the sulfur analogue, with a solid-state absorption …

Momentum Transfer To A Simplified Wind Turbine Blade, Myer D. Milbrath

Honors Theses

This project looks into the potential of simplified simulations as a supplement to wind turbine blade designs. The idea is to take a two-dimensional representation of a wind turbine blade and attempt to use a fluid flow simulation to determine which "aspect ratio" is the most efficient in the transfer of momentum. This is then compared to the current requirements for wind turbine blades to judge how accurate the simulation was. It was found that an aspect ratio of 16.66 percent was most efficient, however when compared to the requirements for a wind turbine blade this ratio only falls into …

Automated Data Acquisition Of Deet Time-Dependent Concentration Profiles, Ryan D. Coleman

Honors Theses

Spatial insect repellents must maintain a sufficient concentration in the vapor phase to successfully deter pests. However, little is known regarding correlation of concentration to efficacy nor does there exist a standard testing protocol to measure efficacy in air. Among existing spatial repellents, DEET is the most common active ingredient. This research focuses on application of sensor-based technologies to monitor the concentration levels of DEET under static conditions.

Metal oxide semiconductor sensors feature conductivity variance in response to absorption and desorption of volatile organic compounds. Advantages of these sensors include cost, versatility, and sensitivity. Metal oxide semiconductor sensors were chosen …

Audio Software (Vst Plugin) Development With Practical Application, Zachary Hummel

Honors Theses

Audio engineers around the world routinely utilize small pieces of software, known as “plugins,” to help shape the sound of the media they are working with. These plugins are inserted into a digital audio workstation (DAW) and contain digital signal processing (DSP) algorithms that can affect audio in a number of ways limited only by the creativity of the software developer. Common implementations of plugins include equalizers, compressors and limiters, gain, phase rotation or polarity inversion algorithms, reverb and delay, and emulation of the non-linearities of analog audio equipment. The intent of this thesis project is to design and produce …

Effects Of Creatine, Leucine, And Ethanol On Glial Cell Line-Derived Neurotrophic Factor In C2c12 Skeletal Muscle Cells, Daniel Waters

Honors Theses

Glial Cell Line-Derived Neurotrophic Factor (GDNF) is a protein expressed throughout the mammalian nervous system that serves several protective functions. Originally discovered in the brain, where it supports the survival of dopaminergic neurons, GDNF has since been shown to be expressed in skeletal muscle and is vital for the maintenance of motor neurons. The relationship between muscle hypertrophy, and GDNF is not well understood. The purpose of this study was to examine the relationship between hypertrophy and GDNF by inducing hypertrophy in C2C12 skeletal muscle cells using leucine and creatine, inhibiting hypertrophy using ethanol and measuring GDNF content. As measured …

Software Improvements To Parint, A Parallel Integration Software Package, Lawrence Cuneaz

Honors Theses

The best software is easy to configure and compile, is expandable and is well tested. Development of the ParInt software package for parallel integration stopped a number of years ago. When handed the software, parts of the package no longer configured or compiled consistently. Furthermore it relied on one random number generator and had no functional testing. The team tuned the auto configuration so that the program would configure and build on current systems, created expandable functionality to add new random number generators and created two functional test packs. Now ParInt can be developed with confidence knowing that it compiles …

Road Associated Wildlife Mortality In An Urbanizing Metropolitan Area Of The Southeastern Usa, Lillian Miller

Honors Theses

No abstract provided.

Formation And Characterization Of Environmentally Persistent Free Radicals O N Single Crystal A N D Nanoparticle Metal Oxide Surfaces, Mark F. Ditusa

Honors Theses

No abstract provided.

Domain Representability And Topological Completeness, Matthew D. Devilbiss

Honors Theses

Topological completeness properties seek to generalize the definition of complete metric space to the context of topologies. Chapter 1 gives an overview of some of these properties. Chapter 2 introduces domain theory, a field originally intended for use in theoretical computer science. Finally, Chapter 3 examines how this computer-scientific notion can be employed in the study of topological completeness in the form of domain representability. The connections between domain representability and other topological completeness properties are subsequently examined.

Results On Some Generalizations Of Interval Graphs, Jonathan David Ashbrock

Honors Theses

An interval graph is the intersection graph of a family of intervals on the real line. Interval graphs are a well-studied class of graphs. Path graphs are a generalization of interval graphs and are defined to be the intersection graphs of a family of paths in a tree. In this thesis, we study path graphs which are representable in a subdivided K_{1, 3}. Our main results are a characterization theorem and a polynomial time algorithm for recognition of this class of graphs. The second section of this thesis provides a bound for a graph parameter, the boxicity of …

Star Decompositions Of The Complete Split Graph, Adam C. Volk

Honors Theses

A graph is a discrete mathematical structure that consists of a set of vertices and a set of edges between pairs of vertices. A problem of interest in graph theory is that of graph decomposition, partitioning the set of edges into disjoint sets, producing subgraphs which are isomorphic to each other. Here we consider the problem of decomposing a class of graphs called complete split graphs into stars of a fixed size. We present conditions for the decomposition as well as an algorithm for the decomposition when it is possible.

Global And Regional Chitinozoan Biodiversity Dynamics In The Ordovician: Relationships To Sea-Level, Carbon Cycling And Tectonics, Jordan Watson

Honors Theses

Fossil species provide extensive information about the past history of life on Earth. This thesis focuses on the global and regional biodiversity dynamics of the extinct fossil group Chitinozoa, and analyzes the impact and influences of sea-level, global carbon cycling and tectonics on their biodiversity. Biodiversity curves were generated from three different paleo-continents, Laurentia, Baltica, and Gondwana using the automated graphic correlation computer program CONOP9. Traditional methods of biodiversity analysis count fossil taxa in individual intervals of geologic time. The results of these methods are highly dependent upon interval length and the relationship of taxon range to interval boundaries. CONOP9 …

Stratigraphic Analysis Of Florissant Fossil Beds National Monument Using Magnetic Susceptibility, Geochemical Comparison, And Gamma Ray Spectroscopy, Jennifer Kenyon

Honors Theses

No abstract provided.

Perfect Matchings And Their Applications, Amanda Mayhall

Honors Theses

No abstract provided.

A Monte Carlo Study Of The Pion Absorption And Charge Exchange Cross Section In Lariat, Andrew Olivier

Honors Theses

No abstract provided.