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Solving Boundary Value Problems On Various Domains, Ibraheem Otuf Dec 2016

Solving Boundary Value Problems On Various Domains, Ibraheem Otuf

MSU Graduate Theses

Domain-sensitivity is a hallmark in the realm of solving boundary value problems in partial differential equations. For example, the method used in solving a boundary value problem on an finite cylindrical domain is very different from one that arises from a rectangular domain. The difference is also reflected in the types of functions employed in the processes of solving these boundary value problems, as are the mathematical tools utilized in deriving an analytic solution. In this thesis, we solve an important class of partial differential equations with boundary conditions coming from various domains, such as the n dimensional cube, circles, …


The Relationship Between Lead In Groundwater And Elementary School Students' Academic Performance In Missouri, Lynnette Xiangling Li Dec 2016

The Relationship Between Lead In Groundwater And Elementary School Students' Academic Performance In Missouri, Lynnette Xiangling Li

MSU Graduate Theses

Lead exposure can come from various sources, e.g., lead mines, industrial areas, and lead based paint. Missouri has more than 4,128 lead mines. Lead is a neurotoxin. The objectives of the study were to investigate i) the spatial relationship between lead mines and lead distribution in groundwater, ii) the statistical impact of lead in groundwater on students' Missouri Assessment Program (MAP) scores, and iii) the geographic variations of lead's impact on students' MAP scores. Geographic Information Science spatial analysis tools were used to analyze the concentration of lead in groundwater within school districts in Missouri. Regression analysis was utilized to …


Modeling The 3-Dimensional Structure Of D(Cgcgaattcgcg) And Its 8-Oxo-Da5 Adduct With 1h Nmr Noesy Refinements, Christopher Miles Reynolds Dec 2016

Modeling The 3-Dimensional Structure Of D(Cgcgaattcgcg) And Its 8-Oxo-Da5 Adduct With 1h Nmr Noesy Refinements, Christopher Miles Reynolds

MSU Graduate Theses

Since the characterization of the oligomer d(CGCGAATTCGCG) has been published by Dickerson et al., computational studies have been carried out to produce an accurate 3D model. These models are important for visualizing how certain DNA repair enzymes, such as the glycosylases, recognize sites of damage by signatures of local 3D distortion. Using 1H NOESY-generated internuclear distances to replicate the model of this oligomer and a derivative with an 8-oxo-dA5 lesion, we propose characteristics of helical distortion that DNA glycosylases might use for identifying this form of damage. In addition, this method of comparison can be used to study the repair …


Channel Sediment And Mining-Lead Storage In Flat River Creek, Old Lead Belt, Missouri, Ralph Joseph Hill Dec 2016

Channel Sediment And Mining-Lead Storage In Flat River Creek, Old Lead Belt, Missouri, Ralph Joseph Hill

MSU Graduate Theses

Historical mining for lead (Pb) in the Old Lead Belt District introduced large volumes of tailings into nearby streams resulting in the large-scale contamination of channel bed and bar deposits in Big River which drains the southeastern Missouri Ozarks. Tailings pile sites have been remediated so that present contamination sources to the river are primarily from the remobilization of Pb stored in channel and floodplain deposits. This study examined the channel geomorphology and sediment geochemistry of Flat River Creek (FRC), a major tributary to the Big River which drains an area that includes three of the six major mines in …


When There Is A Unique Group Of A Given Order And Related Results, Haya Ibrahim Binjedaen Jul 2016

When There Is A Unique Group Of A Given Order And Related Results, Haya Ibrahim Binjedaen

MSU Graduate Theses

It is well-known that any group whose order is a prime number must be cyclic, that is there is only one group of that order up to isomorphism. This is also the case for some non-prime orders, for example there is only one group of order 15 up to isomorphism. This thesis provides the necessary background material to completely characterize those n for which these is a unique group of order n, namely when n and the Euler phi function of n are relatively prime. We also determine for which n there are exactly two groups of order n up …


Electrogenerated Chemiluminescence Of Luminophores And Enhancement With Melatonin, Sarah Michelle Roughton Jul 2016

Electrogenerated Chemiluminescence Of Luminophores And Enhancement With Melatonin, Sarah Michelle Roughton

MSU Graduate Theses

The photoluminescent (PL), electrochemical, and electrogenerated chemiluminescent (ECL) properties of 1,5-I-Aedans (N-(iodoacetylaminotheyl)-1-naphthylamine-5-sulfonic acid) in aqueous buffered (KH2PO4) and 50:50 (v/v) acetonitrile:KH2PO4 solutions were obtained. Tri-n-propylamine (TPrA) was used as the oxidative-reductive coreactant. The PL efficiencies (em) were 1.83 in KH2PO4 and 4.81 in mixed solvent compared to Ru(bpy)32+ standard solutions (em = 1.0). 1,5-I-Aedans displayed quasi-reversible oxidative electrochemistry in aqueous solutions and irreversible to quasi-reversible oxidation in mixed solvent. ECL efficiencies (ecl) were obtained by comparison to a Ru(bpy)32+/TPrA (bpy = 2,2'-bipyridine) standard (ecl = 1) and were higher in KH2PO4 (ecl = 6.8 x 10-4) than in the mixed …


Student Identification Of Problem Topics In General Chemistry, Michelle Denyse Hilda Herridge Jul 2016

Student Identification Of Problem Topics In General Chemistry, Michelle Denyse Hilda Herridge

MSU Graduate Theses

Eliciting students' beliefs regarding the difficulty of subject matter is important since self-efficacy often determines study habits. The goal of this research was to investigate students' perceptions about the relative difficulty of topics taught in tertiary-level introductory chemistry courses. As a proof of concept, I created a survey composed of topics adapted from the South Carolina high school chemistry standards. This survey was piloted at Clemson University, where general chemistry students at the end of their first-semester were asked to rank the topics by perceived level of difficulty. Based on the pilot data analysis the survey was revised, adapted and, …


A Geometric Approach To Ramanujan's Taxi Cab Problem And Other Diophantine Dilemmas, Zachary Kyle Easley May 2016

A Geometric Approach To Ramanujan's Taxi Cab Problem And Other Diophantine Dilemmas, Zachary Kyle Easley

MSU Graduate Theses

In 1917, the British mathematician G.H. Hardy visited the Indian mathematical genius Ramanujan in the hospital. The number of the taxicab Hardy arrived in was 1729. Ramanujan immediately recognized this as the smallest positive integer that can be expressed as the sum of two cubes in two essentially different ways. In this thesis, we use properties of conics and elliptic curves to investigate this problem, its generalization to fourth powers, and a Diophantine equation involving the distance of a point from the vertices of a regular tetrahedron (the latter extends work of Christina Bisges).


Increasing Solubility Of Active Pharmaceutical Ingredients In Topical Creams Using Soluplus®, Roni Balzam May 2016

Increasing Solubility Of Active Pharmaceutical Ingredients In Topical Creams Using Soluplus®, Roni Balzam

MSU Graduate Theses

More than 40% of new chemicals developed in the pharmaceutical industry have poor solubility in aqueous solutions. Active Pharmaceutical ingredients (API) cannot reach their molecular targets in the body if the drug remains undissolved in the gastrointestinal system. One way to approach this problem is by using solubilizing agents. One such agent is a thermo-responsive, tri-block co-polymer which is marketed as “Soluplus®" (SP) by BASF Corporation. A part of this project is to thoroughly characterize various phase properties of SP such as cloud points and gel points temperatures. In current application, SP was incorporated into the creams formulations as an …


Spatial Distribution And Geomorphic Factors Of Lead Contamination On Floodplains Affected By Historical Mining, Big Rover, S.E. Missouri, David Bower Huggins May 2016

Spatial Distribution And Geomorphic Factors Of Lead Contamination On Floodplains Affected By Historical Mining, Big Rover, S.E. Missouri, David Bower Huggins

MSU Graduate Theses

Historical mining in the Old Lead Belt resulted in lead (Pb) contamination of floodplain soils for over 170 km along the Big River in southeastern Missouri. The overall pattern of contamination are understood. However, Pb distribution across floodplain surfaces has not been investigated at the scale needed for site-level remediation planning. The goal of this project is to examine spatial distribution of Pb with more detail and identify the role of geomorphic processes. Predictive models are needed to evaluate factors affecting Pb distribution such as elevation, distance from the channel, and geochemistry. This study evaluates Pb distribution at three ~1km …


On The Number Of Distinct Cyclic Subgroups Of A Given Finite Group, Joseph Dillstrom May 2016

On The Number Of Distinct Cyclic Subgroups Of A Given Finite Group, Joseph Dillstrom

MSU Graduate Theses

In the study of finite groups, it is a natural question to consider the number of distinct cyclic subgroups of a given finite group. Following an article by M. Tarnauceanu in the American Mathematical Monthly, we consider arithmetic relations between the order of a finite group and the number of its cyclic subgroups. We classify several infinite families of finite groups in this fashion and expand upon an open problem posed in the article.


A Cycle Generating Function On Finite Local Rings, Tristen Kirk Wentling May 2016

A Cycle Generating Function On Finite Local Rings, Tristen Kirk Wentling

MSU Graduate Theses

We say a function generates a cycle if its output returns the initial value for some number of successive applications of . In this thesis, we develop a class of polynomial functions for finite local rings and associated functions . We show that the zeros of one are precisely the fixed points of the other and that every ring element is either one of these fixed points or is in a cycle of fixed length equal to the order of 2 in the associated group of units. Particular emphasis is given to rings of integers modulo the square of a …


Seismic Reflection, Well Log, And Gravity Analysis Of The Thrace Basin, Northwestern Turkey, Murat Kuvanc Jan 2016

Seismic Reflection, Well Log, And Gravity Analysis Of The Thrace Basin, Northwestern Turkey, Murat Kuvanc

MSU Graduate Theses

The Thrace basin is located between the Paleogene the Istranca and Rhdope massifs in the northwestern part of Turkey. Sediments in the Thrace basin accumulated during the early Eocene to the late Miocene, and the basin includes normal and strike-slip faults that were mainly formed in the Miocene. The hydrocarbon potential of the Thrace basin has been investigated by analyzing seismic reflection, well log, and gravity data since the 1930s; the basin has a huge gas reservoir potential and contains the first gas production field in Turkey. To determine the geologic and geophysics features of a portion of the basin …


The Synthesis And Characterization Of Ni(Ii) And Cu(Ii) Cyanoximates, Adedamola Abraham Opalade Jan 2016

The Synthesis And Characterization Of Ni(Ii) And Cu(Ii) Cyanoximates, Adedamola Abraham Opalade

MSU Graduate Theses

The design of one-dimensional nickel wires were attempted. Metal complexes of hydrated Cu(II) and Ni(II) with several cyanoximates were synthesized and characterized by elemental analysis, thermal analysis, IR-, electronic- (solid state diffuse reflectance) spectroscopy, and the X-ray analysis (powder diffraction and single crystal studies). Hydrolysis of the HECO and HMeCO cyanoxime ligands leads to the formation of another dianionic cyanoxime – AACO2-, which forms multimetallic Cu(II) and Ni(II) complexes and oxamide as a side product. The crystal and molecular structures of 8 compounds were determined (6 metal complexes and 2 organic compounds). Two Ni metal complexes have distorted octahedral structures …


A Trace Metal Content Database Of Cave Sediments Of Midcontinent U.S.A., Matthew Dale Smith Jan 2016

A Trace Metal Content Database Of Cave Sediments Of Midcontinent U.S.A., Matthew Dale Smith

MSU Graduate Theses

The midcontinent of the United States has thousands of documented caves. These caves contain cave sediments, which are the accumulation of biological, geological, and anthropological debris. At this time there is no known database for trace metals of cave sediments of the midcontinent United States. Considering that caves host a wide variety of life, it is important to create a database to examine potential effects of trace metals on cave systems. In order to develop this baseline, 14 caves were sampled from across the midcontinent. Caves were selected based on geologic and hydrologic attributes. The sediments were analyzed for the …


Land Use And Land Cover Classification And Change Detection Using Naip Imagery From 2009 To 2014: Table Rock Lake Region, Missouri, Dexuan Sha Sha Jan 2016

Land Use And Land Cover Classification And Change Detection Using Naip Imagery From 2009 To 2014: Table Rock Lake Region, Missouri, Dexuan Sha Sha

MSU Graduate Theses

Land use and land cover (LULC) of Table Rock Lake (TRL) region has changed over the last half century after the construction of Table Rock Dam in 1959. This study uses one meter spatial resolution imagery to classify and detect the change of LULC of three typical waterside TRL regions. The main objectives are to provide an efficient and reliable classification workflow for regional level NAIP aerial imagery and identify the dynamic patterns for study areas. Seven class types are extracted by optimal classification results from year 2009, 2010, 2012 and 2014 of Table Rock Village, Kimberling City and Indian …


An Assessment Of Long-Term Changes In The Characterisitcs Of Precipitation In The Upper Midwest, Blake Steven Lea Jan 2016

An Assessment Of Long-Term Changes In The Characterisitcs Of Precipitation In The Upper Midwest, Blake Steven Lea

MSU Graduate Theses

As climate change progresses, many forecasts for the upper Midwest predict increases in annual precipitation, but with a shift in seasonal patterns that will leave the summer months drier with less frequent, higher magnitude storm events. Changes in precipitation patterns have the potential to alter the sediment budget and discharge patterns in watersheds. The purpose of this study was to determine the effects changes in frequency, magnitude, duration, and intensity of precipitation might have on streamflow and sediment budgets in the upper Midwest. This analysis was carried out using hourly precipitation data from 1948 to 2013 from 23 sites and …