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Full-Text Articles in Physical Sciences and Mathematics

Algebraic Complexity Theory, Jerzy Weyman Oct 2015

Algebraic Complexity Theory, Jerzy Weyman

Dalrymple Lecture Series

I will discuss the basic notions related to the complexity theory. The classes of P and NP problems will be defined, with examples given. Besides discussing the statements of the problems, I will talk about the effectiveness of algorithms used in linear algebra (multiplying matrices and solving the systems of linear equations). No previous knowledge of complexity theory will be assumed, however some knowledge of linear algebra (matrices and their multiplication) will be needed.


Primes And Zeros: A Million Dollar Mystery, Brian Conrey Apr 2015

Primes And Zeros: A Million Dollar Mystery, Brian Conrey

Dalrymple Lecture Series

A prime number is an integer greater than one whose only positive divisors are 1 and itself. In 1859 G. F. B. Riemann proposed a way to understand how the prime numbers are distributed among the natural numbers. More than 150 years later mathematicians still have not proven Riemann's Hypothesis. The stature of this problem has continued to rise so that today it is widely regarded as the most important unsolved problem in all of mathematics. In this talk I will describe some of the colorful history that surrounds this question.


A Raman Spectroscopic And Computational Study Of The Effects Of Halogen Bonding On Pyrimidine Containing Systems, Peyton Lindsey Reves Jan 2015

A Raman Spectroscopic And Computational Study Of The Effects Of Halogen Bonding On Pyrimidine Containing Systems, Peyton Lindsey Reves

Honors Theses

This thesis involves the study of the effects of halogen bonding on pyrimidine containing systems. Halogen bonding is a type of non-covalent interaction that can occur when a Lewis base interacts with an iodine, bromine, or chlorine atom in a second molecule. The phenomenon of halogen bonding is explained by the presence of a localized region of positive electrostatic potential that exists on the halogen. This positive region is referred to as the σ-hole, and gives halogen bonding its other common name, σ-hole bonding. The magnitude of the positive σ-hole depends on both the type of halogen molecule involved in …


Visualization Techniques Of Shear Wave Propagation In Wormlike Micellar Fluid, Connor M. Tierney Jan 2015

Visualization Techniques Of Shear Wave Propagation In Wormlike Micellar Fluid, Connor M. Tierney

Honors Theses

In an aqueous solution amphiphilic molecules can self-aggregate and form a wormlike micellar fluid. These non-Newtonian fluids have been studied in the context of diagnostic medical imaging due to the fact that the fluids have viscoelastic properties and can act as a nonperishable model for human tissue. They also display flow-birefringence, which is a property that allows for the analysis of shear wave propagation through the fluid. However, one issue encountered at lower micelle concentrations is the inability to see the emergent birefringence pattern that results from shear wave propagation. In this study Experiment 1 was an analysis of shear …


Comparison Of The Spatial Distributions Of Cavitation Damage With The Measured Diffraction Patterns For A High-Power Ultrasonic Transducer, Davis Lane Rogers Jan 2015

Comparison Of The Spatial Distributions Of Cavitation Damage With The Measured Diffraction Patterns For A High-Power Ultrasonic Transducer, Davis Lane Rogers

Honors Theses

The purpose of this study was to evaluate the performance of a model of the propagation of ultrasonic fields produced by an ultrasonic transducer, a device that uses a piezoelectric crystal to produce high-intensity ultrasonic waves. The transducer operates immersed in a water bath where it generates waves of sufficient intensity to produce non-linear phenomena that include acoustic streaming and cavitation. This study used a planar transducer to visualize the damaging effects of high-intensity ultrasonic waves targeted on acrylic plates. Seven plates were targeted and positioned from 8.5 to 11.5 cm from the transducer. The spatial distribution and degree of …


Pro-Aromatic Dye Components For Dye-Sensitized Solar Cells: Thienothiophene And Indolizine, George A. Puneky Jan 2015

Pro-Aromatic Dye Components For Dye-Sensitized Solar Cells: Thienothiophene And Indolizine, George A. Puneky

Honors Theses

Four D-π-A dyes based on a 3,4-thienothiophene Ï€-bridge were synthesized for use in dye-sensitized solar cells (DSCs). The pro-aromatic building block 3,4-thienothiophene has been reported to stabilize dye excited-state oxidation potentials. This lowering of excited-state energy levels permits for increased absorption into the near-infrared (NIR) region using relatively low molecular weight dyes. Strong donor functionality based on triaryl- and diarylamines are employed in the dye designs to raise both the ground and excited-state oxidation potentials to values capable of generating DSC devices with good open-circuit voltages. Solubility, aggregation, and TiO2 surface protection were addressed by examining an ethylhexyl alkyl chain …


Dna I-Motif Stabilization By Ligand Binding To Loop Regions, Harrison Reed Davis Jan 2015

Dna I-Motif Stabilization By Ligand Binding To Loop Regions, Harrison Reed Davis

Honors Theses

DNA i-motifs are a secondary structure of DNA that can be useful in a variety of ways, but this experiment investigates the maximum potential to stabilize i-motifs artificially with a small molecule binding to loop regions. DNA with different position and number of loops was tested to see to what extent the i-motif could be stabilized . A drug, Actinomycin D, was used for its known high affinity for a particular DNA sequence, which we used to make the loops of the i-motif. The binding constant for the drug to the DNA was determined through fluorescense spectroscopy while the presence …


A Visualization Tool For Survey Responses And A Unifying Interface Redesign, Iva Cramer Jan 2015

A Visualization Tool For Survey Responses And A Unifying Interface Redesign, Iva Cramer

Honors Theses

As an intern for financial software company FNC, Inc. during the summer of 2014, my fellow interns and I began an innovation project for creating and analyzing surveys for better client feedback methods. I have continued this project even after the internship, and this thesis covers that continuation: the visualization of survey responses and the redesign of the page on which they are contained. The project detailed here was to revamp the survey statistics page with a coherent layout that matches the rest of the site in addition to overhauling the actual graphs and charts for aesthetic and accuracy.


A Computational Comparison Of The Hydrophobic Pocket Of Neural And Epithelial Cadherins For The Purpose Of Identifying A Selective Inhibitor, Ross E. Straughan Jan 2015

A Computational Comparison Of The Hydrophobic Pocket Of Neural And Epithelial Cadherins For The Purpose Of Identifying A Selective Inhibitor, Ross E. Straughan

Honors Theses

Classical cadherins are a subfamily of calcium-dependent cellular adhesion molecules that play an important role in the formation of cellular junctions in many tissues. The extracellular portion of cadherins consists of five tandem-repeated domains (EC1-EC5). The critical first step in cadherin-mediated cellular adhesion occurs at the interface between two adjacent EC1 domains in which the transition from monomer to dimer is accomplished by docking the W2 residue of the N-terminal β-strand of one EC1 domain into the hydrophobic pocket of its partner domain. Cancer and many other diseases have been linked to the aberrant expression of Epithelial (E-cad) and Neural …


Effective Tuning Of Bimetallic Composition Of Gold-Copper Nanomolecules And The Emergence Of Plasmon-Like Feature In Optical Spectra, Asantha Champika Dharmaratne Jan 2015

Effective Tuning Of Bimetallic Composition Of Gold-Copper Nanomolecules And The Emergence Of Plasmon-Like Feature In Optical Spectra, Asantha Champika Dharmaratne

Electronic Theses and Dissertations

Au144-xCux(SR)60 alloy nanomolecules were synthesized and characterized by using ESI-MS to atomic precision. A maximum of 23 copper atoms replace the gold atoms; when the number of copper atoms is higher than eight, a surface plasmon-like peak appears at ∼520 nm. Based on the fundamental, elemental properties of Au and Cu, we predict a mixed atomic ordering and incorporation into the Au12 and Au 42 shells of the proposed icosahedral structured model. Alloy nanomolecules reported here could have potential applications in the field of catalysis and optical sensors.


Method Development For Mass Spectrometric Characterization Of Ultra-Small Nanomolecules And Mass Spectrometry Imaging Of Selected Biomolecules, Nuwan K. Kothalawala Jan 2015

Method Development For Mass Spectrometric Characterization Of Ultra-Small Nanomolecules And Mass Spectrometry Imaging Of Selected Biomolecules, Nuwan K. Kothalawala

Electronic Theses and Dissertations

High sensitivity, selectivity and remarkable identification capabilities facilitate the applicability of mass spectrometry (MS) in diverse fields. This dissertation outlines how this cutting edge technology is used to determine the chemical composition of the ultra-small nanomolecules (NMs) to atomic precision and obtain spatial resolution of selected biomolecules using mass spectrometry imaging (MSI). Chapter I includes introduction to electrospray ionization (ESI) and matrix assisted laser desorption ionization (MALDI) MS used in my PhD research. Chapter II explains how high resolution ESI-MS methods were developed to analyze the polar water-soluble NMs. These new methods express how ESI-MS parameters need to be optimized …


Power And Hotspot Modeling For Modern Gpus, Md Mainul Hassan Jan 2015

Power And Hotspot Modeling For Modern Gpus, Md Mainul Hassan

Electronic Theses and Dissertations

As General Purpose GPUs (GPGPU) are increasingly becoming a prominent component of high performance computing platforms, power and thermal dissipation are getting more attention. The trade-offs among performance, power, and heat must be well modeled and evaluated from the early stage of GPU design. This necessitates a tool that allows GPU architects to quickly and accurately evaluate their design. There are a few models for GPU power but most of them estimate power at a higher level than architecture, which are therefore missing hardware reconfigurability. In this thesis, we propose a framework that models power and heat dissipation at the …


The Least Prime Number That Splits Completely In S3-Sextic Number Fields, Zhenchao Ge Jan 2015

The Least Prime Number That Splits Completely In S3-Sextic Number Fields, Zhenchao Ge

Electronic Theses and Dissertations

In number theory, an integer n is quadratic residue modulo an odd prime p if n is congruent to a perfect square modulo p. Otherwise, n is is called a quadratic nonresidue. Bounding the least prime quadratic residue and the least quadratic nonresidue are two very classical problems in number theory. These classical problems can be generalized to any number field K by asking for bounds the least for prime that splits completely or does not split completely, respectively, in the ring of integers of K. The goal of this thesis is to bound the least prime that splits completely …


Microtremor Recordings In Northern Mississippi: Evaluating Site Effect And Correlating With Wave Climate, Zhen Guo Jan 2015

Microtremor Recordings In Northern Mississippi: Evaluating Site Effect And Correlating With Wave Climate, Zhen Guo

Electronic Theses and Dissertations

Site effects is considered as one of the main reasons that cause enormous damages in earthquakes and it is mainly controlled by the local geological condition. The main research area, Northern Mississippi, is located in Mississippi Embayment (ME) where is mainly composed of unconsolidated sediments which can be as thick as 1400m along the Mississippi River floodplain, and is favorable to have significant site effects. Meanwhile Northern Mississippi is also located in the moderate to heavy potential damage area of the New Madrid Seismic Zone, which is in the northern section of ME. Therefore, it is very necessary to evaluate …


The View From Ventress - 2015, University Of Mississippi. College Of Liberal Arts Jan 2015

The View From Ventress - 2015, University Of Mississippi. College Of Liberal Arts

Liberal Arts Newsletters

Special Section: Research and Create. The College of Liberal Arts’ 18 departments, eight interdisciplinary programs, and 13 centers/institutes range from the natural sciences and social sciences to the fine arts and humanities. Through individual and collaborative efforts, faculty and students push the boundaries of our understanding and appreciation of the world around us. They analyze and create; they publish, discuss, and perform.


Specification And Mechanical Verification Of Performance Profiles Of Software Components, Nighat Yasmin Jan 2015

Specification And Mechanical Verification Of Performance Profiles Of Software Components, Nighat Yasmin

Electronic Theses and Dissertations

Software performance predictability is vital to a system design and unpredictable performance is a leading cause of software failure. The emphasis of this dissertation is on verification that component-based software performs as specified. Performance profiles (specifications) depend on functional specifications and are necessary for all components for modular verification. Modular verification process is scalable because it uses profiles as contracts and allows verification of a single component in isolation with the assumption that any underlying component would have already been verified or will be verified to meet its specifications independently. This dissertation presents an integration of performance specification (profiles) with …


Complex Vector Lattices: Tensor Products And Multilinear Maps, Christopher Michael Schwanke Jan 2015

Complex Vector Lattices: Tensor Products And Multilinear Maps, Christopher Michael Schwanke

Electronic Theses and Dissertations

In this thesis, we study completions of Archimedean real vector lattices relative to any nonempty set of continuous positively homogeneous functions defined on Rn. Examples of such completions include square mean closed vector lattices and geometric mean closed vector lattices. These functional completions lead to a vector lattice complexification of any Archimedean real vector lattice. Unlike the vector space complexification of an Archimedean real vector lattice, the vector lattice complexification always results in an Archimedean complex vector lattice. For example, we prove that the vector space complexification of the Fremlin tensor product C(X)⊗C(Y) is not a complex vector lattice when …


Gold Nanomolecules : Developing Synthetic Protocols, Characterization And Investigation Of Ligand Effects On Structure And Properties, Praneeth Reddy Nimmala Jan 2015

Gold Nanomolecules : Developing Synthetic Protocols, Characterization And Investigation Of Ligand Effects On Structure And Properties, Praneeth Reddy Nimmala

Electronic Theses and Dissertations

The term "Nano" in chemistry refers to particles/molecules in the size range 1 to 100 nm. Gold nanoparticles were used in ancient times in making decorative glass as they produce vibrant, size dependent, colors upon interaction with light. Gold is a preferred choice of metal for the synthesis of nanoparticles mainly due to its inertness to atmospheric conditions and most chemicals. Gold thiolate nanomolecules, which is the primary focus of this dissertation research, are chemical molecules with a fixed number of gold atoms and organo-thiolate ligands. They are of the form Aux(SR)y and possess molecule-like properties as a result of …


Semi-Leptonic Decay Of Lambda-B In The Standard Model And With New Physics, Wanwei Wu Jan 2015

Semi-Leptonic Decay Of Lambda-B In The Standard Model And With New Physics, Wanwei Wu

Electronic Theses and Dissertations

Heavy quark decays provide a very advantageous investigation to test the Standard Model (SM). Recently, promising experiments with b quark, as well as the analysis of the huge data sets produced at the B factories, have led to an increasing study and sensitive measurements of relative b quark decays. In this thesis, I calculate various observables in the semi-leptonic decay process Λb → Λ cτν[special character omitted]τ both in the SM and in the presence of New Physics (NP) operators with different Lorentz structures. The results are relevant for the coming measurement of this semi-leptonic decay at LHC b experiment …


Accurate Computation Of Molecular Properties From Novel Applications Of Quantum Mechanical Wavefunction Methods, James Coleman Howard Jan 2015

Accurate Computation Of Molecular Properties From Novel Applications Of Quantum Mechanical Wavefunction Methods, James Coleman Howard

Electronic Theses and Dissertations

High-accuracy quantum mechanical (qm) wavefunction methods have been applied to compute molecular properties of weakly-bound clusters. This work focuses on both extending the applicability of robust theoretical methods to larger systems and also determining the inherent accuracy of ab initio methods when compared to experimentally measured properties. Described here is the development of an efficient many-body approach that offers the ability to reduce both the time and the computational resources normally required to compute these properties reliably. The n-body:many-body qm:qm technique has been extended to compute harmonic vibrational frequencies of clusters. Applying this methodology to small hydrogen-bonded clusters demonstrates that …


Progress Toward The Total Synthesis Of The Natural Product Herbicide Ascaulitoxin Aglycone, Jeffery Brian Morgan Jan 2015

Progress Toward The Total Synthesis Of The Natural Product Herbicide Ascaulitoxin Aglycone, Jeffery Brian Morgan

Electronic Theses and Dissertations

Ascaulitoxin aglycone is a structurally unique bis-amino acid isolated from the fungal species Ascochyta caulina, with herbicidal activity against Chenopodium album. Ascaulitoxin aglycone's potent herbicidal activity coupled with an unknown but novel mechanism of action makes it a perfect candidate for further study in the pursuit of new natural product herbicides. This dissertation research will illustrate three synthetic strategies towards the total synthesis of ascaulitoxin aglycone from chiral pool building blocks. Strategy 1 invokes the use of the Henry reaction as a key step for the construction of the central C4-C5 cis-aminohydroxy group, which was moderately successful, but abandoned in …


A Study Of The Impact Of Ph On The Structure And Stability Of Epithelial Cadherin, Catherine Abadie Jan 2015

A Study Of The Impact Of Ph On The Structure And Stability Of Epithelial Cadherin, Catherine Abadie

Honors Theses

Epithelial (E-) cadherin is a transmembrane protein whose function lies in cell-to-cell adhesion. It is a transmembrane component of adherens junctions of epithelial tissues, thereby connecting the actin cytoskeletons of adhered cells. It has five extracellular domains, a small transmembrane portion, and a cytoplasmic tail. The molecule must bind calcium in order to form an adhesive dimer with a cadherin molecule emanating from an adjacent cell. Cancer of the epithelial tissue, carcinoma, is accompanied by acidification of the tissue and a loss in cell adhesion. The long-term goal of this project is to determine the effect of a decrease in …


Para-Interface: A Novel Interface For Para-Aeh Software Suite, Michael Ginn Jan 2015

Para-Interface: A Novel Interface For Para-Aeh Software Suite, Michael Ginn

Honors Theses

Para-AEH is a software suite designed to the Asymptotic Expansion Homogenization method. This method is commonly used to model structures by using differential equations to represent larger structure from a smaller structure input. In order to facilitate the University of Mississippi's Department of Mechanical Engineering's research purposes the software needed to be installed. A novel interface was designed to remove the overhead of interacting with the software on a command line based level. The software allows the management of users that can access the software and jobs that package several commands together for asynchronous execution without manual intervention.


Properties Of A Fluorescent Deoxycytidine Analog In I-Motif Dna, Sara E. Wingate Jan 2015

Properties Of A Fluorescent Deoxycytidine Analog In I-Motif Dna, Sara E. Wingate

Honors Theses

Experiments to determine fluorescence lifetimes and fluorescence quenching constants were performed using oligonucleotides of DNA containing PdC, a fluorescent analog of cytidine, at five different locations in the i-motif. My experiments were chosen in order to better understand the structural characteristics of i-motif DNA, which are thought to have biological importance in cancer and drug delivery. Fluorescent lifetime experiments were carried out using an ISS K2 fluorescence instrument with a modulated LED light source in order to determine if the cytidine bases in DNA replaced by PdC were paired or unpaired in the i-motif structure. The resulting data allowed us …


Towards The Synthesis Of A Swallowtailed Perylene Monoimide, Wyatt S. Whicker Jan 2015

Towards The Synthesis Of A Swallowtailed Perylene Monoimide, Wyatt S. Whicker

Honors Theses

This project was initiated in conjunction with Dr. Justin Youngblood from the University of North Texas. The goal was to synthesize a molecule to be used in solar cell testing. The target molecule involved combining donor and acceptor groups to make a combination that would be able to transfer electricity in a unilateral direction to increase efficiency in solar cells. My project involved the donor portion, a perylene monoimide donor with a long alkyl swallowtail to impart solubility. While the final molecule was not synthesized, the proposed procedure for making such a molecule was improved upon. A perylene tetracarboxylic dianhydride …


Non-Covalent Ineteractions Of Trimethylamine N-Oxide (Tmao) And Urea In Water, John Prather Jan 2015

Non-Covalent Ineteractions Of Trimethylamine N-Oxide (Tmao) And Urea In Water, John Prather

Honors Theses

TMAO and urea are important osmolytes. Osmolytes help maintain cell volume with their presence inside and outside cells. Urea is used by kidney cells to neutralize strong osmotic gradients caused by excretion of hypertonic waste. Although urea is for volume- maintaining purposes, it is also known to be a strong denaturant of cellular proteins. The method by which urea destabilizes folded proteins is a debated topic. There is evidence that urea binds directly to amino acid side chains to make protein folding less thermodynamically favored. It has also been suggested that urea acts indirectly to denature proteins by destabilizing the …


Electron Cloud Studies With Transverse Beam Islands, Neetish Pradhan Jan 2015

Electron Cloud Studies With Transverse Beam Islands, Neetish Pradhan

Honors Theses

Electron cloud generation has been a rising problem in high energy beam chambers such as the LHC. In order to mitigate this problem, we looked for the best beam configuration to scrub the chambers and reduce its secondary electron yield. Using simulations, a five-island beam and a three-island beam were compared against a normal single beam. The five-island beam was found to work best.


Effect Of Biochar And Activated Carbon Amendments On Gaseous Mercury Emissions Of Soil And Mercury Methylation Rates In Sediment, Ryan Sessums Jan 2015

Effect Of Biochar And Activated Carbon Amendments On Gaseous Mercury Emissions Of Soil And Mercury Methylation Rates In Sediment, Ryan Sessums

Honors Theses

Mercury is a pervasive global contaminant with a complex biogeochemical cycle. In this biogeochemical cycle, methylmercury (MeHg+) tends to biomagnify and concentrate in fish and seafood consumed by humans. This study examines the effect of sorbent amendments on both the mercury emission from soils and the methylation rates of mercury in sediments, both of which are believed to be major contributors to the global cycle. Biochar and activated carbon were used to treat soils and sediments to explore their effects. It was found that biochar and activated carbon reduced gaseous mercury emission by 25% and 49%, respectively. Methylation rates in …


The Effect Of Polyamines On I-Motif Thermal Stablity, Shelby Claire Liddell Jan 2015

The Effect Of Polyamines On I-Motif Thermal Stablity, Shelby Claire Liddell

Honors Theses

Polyamines are present inside cells at varying concentrations anywhere between 10 mM and 60 mM, and because of their molecular structure they contribute a positive charge to the interior of the cell. There has been previous evidence that the concentrations of polyamines have an effect on the stability of the DNA strands, which can affect the cellular processes. The particular DNA conformation studied is the i-motif, which is formed by intermolecular folding in cytosine rich strands. The i-motif studied is C20T, which is found in the promoter region of the oncogene, c-myc. Stabilization of c-myc can have an effect on …


Estimating The Number Of Components Of A Spatial—Em Algorithm: An R Package, Aishat O. Aloba Jan 2015

Estimating The Number Of Components Of A Spatial—Em Algorithm: An R Package, Aishat O. Aloba

Honors Theses

The Expectation Maximization algorithm also known as the EM algorithm is an algorithm used to solve the maximum likelihood parameter estimation problem. This problem arises when some of the data involved are missing or incomplete, hence it becomes difficult to know the parameters of the underlying distribution. The EM algorithm mainly comprises of two steps; the E—Step, and the M—Step. In the E—Step, estimated parameter values are used as true values to calculate the maximum likelihood estimate, and in the M—Step, the maximum likelihood calculated is used to estimate the parameters. The E—Step and M—Step iterate through until a specified …