Physical Sciences and Mathematics Commons^™

Coaching: One Mathematics Specialist's Story, C. B. Doyle

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Applicability Of Three-Dimensional Aromaticity In Bisnn- Zintl Analogues, Penee A. Clayborne, Ujjwal Gupta, Arthur C. Reber, Joshua J. Melko, Shiv N. Khanna, A. W. Castleman Jr.

Physics Publications

Three-dimensional aromaticity is shown to play a role in the stability of deltahedral Zintl clusters and here we examine the connection between aromaticity and stability. In order to gain further insight, we have studied Zintl analogs comprised of bismuthdopedtin clusters with photoelectron spectroscopy and theoretical methods. To assign aromaticity, we examine the ring currents induced around the cage by using the nucleus independent chemical shift. In the current study, BiSn4− is a stable cluster and fits aromatic criteria, while BiSn5− is found to fit antiaromatic criteria and has reduced stability. The more stable clusters exhibit an aromatic character which originates …

Surface Photovoltage In Undoped N-Type Gan, M. A. Reshchikov, M. Foussekis, A. A. Baski

Physics Publications

Steady-state and transient surface photovoltage (SPV) in undoped GaN is studied in vacuum and air ambient at room temperature and 400 K with a Kelvin probe. The results are explained within a phenomenological model accounting for the accumulation of photogenerated holes at the surface, capture of free electrons from the bulk over the near-surface potential barrier, and emission of electrons from surface states into the bulk. Simple analytical expressions are obtained and compared with experimental results. In particular, the proposed model explains the logarithmic decay of the SPV after stopping illumination. Internal and external mechanisms of the SPV are discussed …

8-Methoxy-4-(4-Methoxyphenyl)Quinoline, Pavel Anzenbacher Jr., Ligia Llovera, Teresa González, Simón E. López

Chemistry Faculty Publications

In the title compound, C 17H 15NO 2, the dihedral angle between the quinoline and benzene ring systems is 62.17 (1)°. In the crystal, zigzag chains propagating in c are linked by C-H⋯O hydrogen bonds, and weak C-H⋯π inter-actions link the chains.

Spectrally Tunable Magnetic Nanoparticles Designed For Distribution/Recollection Applications, Nicholas B. Mcdowall, James R. Wilkins, Kyler J. Carroll, Jarrod D. Edwards, Jean D. Nelson, Everett E. Carpenter, Garry P. Glaspell

Chemistry Publications

The comprehensive goal of this research is the synthesis and characterization of nanomaterials that are spectrally tunable in terms of their electromagnetic signal, are robust, magnetic (allowing their piloted movement), and have the potential to be functionalized for the detection of CBRNE threats. Various chemical methods were utilized for synthesis of magnetic (iron) and luminescent rare earth (RE) components, and their mixtures. Effects of integrating an iron core into RE luminescent lattices (excited by UV, emit in the VIS) were investigated. The determination of the optimum balances between magnetic and luminescent components such that the magnetism was maximized while maintaining …

Seeing Is Believing: Body Motion Dominates In Multisensory Conversations, Cathy Ennis, Rachel Mcdonnell, Carol O'Sullivan

Articles

In many scenes with human characters, interacting groups are an important factor for maintaining a sense of realism. However, little is known about what makes these characters appear realistic. In this paper, we investigate human sensitivity to audio mismatches (i.e., when individuals’ voices are not matched to their gestures) and visual desynchronization (i.e., when the body motions of the individuals in a group are mis-aligned in time) in virtual human conversers. Using motion capture data from a range of both polite conversations and arguments, we conduct a series of perceptual experiments and determine some factors that contribute to the plausibility …

Single Step Morphology-Controlled Synthesis Of Silver Nanoparticles, Vinodkumar Etacheri, Reenamole Georgekutty, Michael Seery, Suresh Pillai

Articles

Silver nanoparticles having different size and plasmon resonances were synthesized through a single step aqueous based method. The current procedure was based on the reduction of silver ions by ascorbic acid in the presence of sodiumborohydride and trisodium citrate. Triangular colloidal nanoparticles having different plasmon resonances (and hence different size and colours) were synthesized by varying only the concentration of ascorbic acid. These nanoparticles were found to be stable without using any surfactants or polymers. This study revealed a strong correlation between particle growth and concentration of constituent chemicals. Crystallinity and phase purity of the silver samples were investigated through …

Corrosion Protection Properties Of Various Ligand Modified Organic Inorganic Hybrid Coating On Aa 2024-T3, P.C. Rajath Varma, John Cassidy, Mohamed Oubaha, Colette Mcdonagh, J. Colreavy, Brendan Duffy

Articles

The inclusion of zirconium precursors to prepare organosilane solgel coatings improves the corrosion protection performance of the coatings on aluminium and steel. The inherent differences in the hydrolysis rates of the silane and zirconium precursors, various ligands were used to control the hydrolysis by decreasing the number of reactive alkoxide group. Hybrid sols were synthesised using 3-(trimethoxysilyl) propylmethacrylate (MAPTMS) and zirconium n-propoxide chelated with organic ligands including different organic acids, acetyl acetone and 2 2’ bipyridyl. The effects of zirconia inclusion on the properties of the coatings were compared on the aerospace alloy AA 2024-T3.

Electrochemical analysis and salt spray …

Impulsive Discontinuous Hyperbolic Partial Differential Equations Of Fractional Order On Banach Algebras, Said Abbas, Ravi P. Agarwal, Mouffak Benchohra

Mathematics and System Engineering Faculty Publications

This article studies the existence of solutions and extremal solutions to partial hyperbolic differential equations of fractional order with impulses in Banach algebras under Lipschitz and Carathéodory conditions and certain monotonicity conditions.

Global Caccioppoli-Type And Poincar ´E Inequalities With Orlicz Norms, Ravi P. Agarwal, Shusen Ding

Mathematics and System Engineering Faculty Publications

We obtain global weighted Caccioppoli-type and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous A -harmonic equation d A(x,d)=B(x,d).

Applying Hessian Curves In Parallel To Improve Elliptic Curve Scalar Multiplication Hardware, F. B. Muhaya, Q. A. Al-Haijá, Lo'ai A. Tawalbeh

Computer Science Faculty Publications

As a public key cryptography, Elliptic Curve Cryptography (ECC) is well known to be the most secure algorithms that can be used to protect information during the transmission. ECC in its arithmetic computations suffers from modular inversion operation. Modular Inversion is a main arithmetic and very long-time operation that performed by the ECC crypto-processor. The use of projective coordinates to define the Elliptic Curves (EC) instead of affine coordinates replaced the inversion operations by several multiplication operations. Many types of projective coordinates have been proposed for the elliptic curve E: y2 = x3 + ax + b which is defined …

Concentrated Perchlorate At The Mars Phoenix Landing Site: Evidence For Thin Film Liquid Water On Mars, Selby Cull, Raymond E. Arvidson, Jeffrey G. Catalano, Douglas W. Ming, Richard V. Morris, Michael T. Mellon, Mark Lemmon

Geology Faculty Research and Scholarship

NASA's Phoenix mission, which landed on the northern plains of Mars in 2008, returned evidence of the perchlorate anion distributed evenly throughout the soil column at the landing site. Here, we use spectral data from Phoenix's Surface Stereo Imager to map the distribution of perchlorate salts at the Phoenix landing site, and find that perchlorate salt has been locally concentrated into subsurface patches, similar to salt patches that result from aqueous dissolution and redistribution on Earth. We propose that thin films of liquid water are responsible for translocating perchlorate from the surface to the subsurface, and for concentrating it in …

Forest Analysis Of The Gordon Natural Area Focusing On Carbon Stock, Forest Structure, And Forest Composition, R. Dicce, D. Drake, D. Mackey, P. Avery

Forest Carbon Storage Study Documents

No abstract provided.

Comparison Of Carbon Stocks & Importance Values In Correlation With Past Land Use In The Gordon Natural Area, Timothy Hoffer, Steffen Lubbe

Forest Carbon Storage Study Documents

No abstract provided.

Creating An Outdoor Classroom, Erika Szonntag

Biology Student Work

A comprehensive guide to establishing and maintaining an outdoor classroom for educational and recreational purposes.

The Effect Of Soil Regimes And Topography On Tree Community Composition In The Gordon Natural Area, Calen Daugherty, William Hochella, Kyle Houser, Sarah Johnson, Carolyn Keene

Gordon Natural Area Soils Studies Documents

No abstract provided.

Geology Of The Gordon Natural Area: A Service-Learning Investigation By Students In Ess 405, Petrology, Fall 2009, Leeann Srogi

Gordon Natural Area Geology Studies Documents

No abstract provided.

Some New Transformations For Bailey Pairs And Wp-Bailey Pairs, James Mclaughlin

Mathematics Faculty Publications

We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding relations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.

Foliations And Global Inversion, Eduardo C. Balreira

Mathematics Faculty Research

We consider topological conditions under which a locally invertible map admits a global inverse. Our main theorem states that a local diffeomorphism f : M → Rⁿ is bijective if and only if H_n−1(M) = 0 and the pre-image of every affine hyperplane is non-empty and acyclic. The proof is based on some geometric constructions involving foliations and tools from intersection theory. This topological result generalizes in finite dimensions the classical analytic theorem of Hadamard-Plastock, including its recent improvement by Nollet-Xavier. The main theorem also relates to a conjecture of the aforementioned authors, involving the well known …

A New Method For Describing The Horizontal Electric Field Induced By A Lightning Strike Return Stroke, S L. Meredith, S K. Earles, Niescja E. Turner

Physics and Astronomy Faculty Research

No abstract provided.

Bite Marks Of The Giant Crocodylian Deinosuchus On Late Cretaceous (Campanian) Bones, David R. Schwimmer

Faculty Bibliography

The giant (~10 m) Late Cretaceous eusuchian crocodylians of the genus Deinosuchus are shown to have left large, blunt, sometimes penetrating bite marks on a significant number of sea turtle shells, and on several dinosaur specimens. The morphology of crocodylian bite marks is generally well documented, and the identification of bite traces specifically attributable to Deinosuchus may be made by reference to their size, age, habitat and prey selection. Deinosuchus species, and bite traces referable to the genus, are present on both sides of the Late Cretaceous Interior Seaway, and known only from Campanian deposits in the USA and northern …

Coprolites Of Deinosuchus And Other Crocodylians From The Upper Cretaceous Of Western Georgia, Usa, Samantha D. Harrell, David R. Schwimmer

Faculty Bibliography

Associated with abundant bones, teeth and osteoderms of the giant eusuchian Deinosuchus rugosus are larger concretionary masses of consistent form and composition. It is proposed that these are crocodylian coprolites, and further, based on their size and abundance, that these are coprolites of Deinosuchus. The associated coprolite assemblage also contains additional types that may come from smaller crocodylians, most likely species of the riverine/estuarine genus Borealosuchus, which is represented by bones, osteoderms and teeth in fossil collections from the same site.

The Beta Maxwell Distribution, Grace Ebunoluwa Amusan

Theses, Dissertations and Capstones

In this work we considered a general class of distributions gener- ated from the logit of the beta random variable. We looked at various works that have been done and discussed some of the results that were obtained. Special cases of this class include the beta-normal distribution, the beta-exponential distribution, the beta-Gumbell distribution, the beta-Weibull distribution, the beta-Pareto distribution and the beta-Rayleigh distribution. We looked at the probability distribution functions of each of these distributions and also look at some of their properties. Another special case of this family, a three-parameter beta-Maxwell distribution was dened and studied. Various properties of …

Terrestrial And Marine Geobiophysical Spatial Analysis And Modeling Of Phytoplankton And Nutrients In Haifa Bay, Israel, Sinaya Dayan

Theses, Dissertations and Capstones

Haifa Bay, Israel, is considered one of the most polluted environments in the nation. The bay water is enriched with nutrients and shows elevated levels of phytoplankton biomass. This requires continuous data collection to monitor productivity. The objectives of these remote sensing geobiophysical models were to (1) create a terrestrial model component to identify sources for the elevated levels of nutrients in the bay, and (2) marine model component to validate remote sensing algorithms for the detection of Chlorophyll in an oceanic setting. Methods included Spatial Analysis, Principal Component Analysis, Unsupervised Classification, Map Algebra, Band Ratios, and Statistical Regression of …

Mathematics In Motion: Linear Systems Of Differential Equations On The Differential Analyzer, Devon A. Tivener

Theses, Dissertations and Capstones

In this work, I will provide an introduction to the dierential analyzer, a machine designed to solve dierential equations through a process called mechanical integration. I will give a brief historical account of dierential analyzers of the past, and discuss the Marshall University Dierential Analyzer Project. The goal of this work is to provide an analysis of solutions of systems of dierential equations using a dierential analyzer. In particular, we are interested in the points at which these systems are in equilibrium and the behavior of solutions that start away from equilibrium. After giving a description of linear systems of …

Modeling Super-Spreading Events For Sars, Thembinkosi P. Mkhatshwa

Theses, Dissertations and Capstones

One of the intriguing characteristics of the 2003 severe acute respiratory syndrome (SARS) epidemics was the occurrence of super spreading events (SSEs). Super-spreading events for a specific infectious disease occur when infected individuals infect more than the average number of secondary cases. The understanding of these SSEs is critical to under- standing the spread of SARS. In this thesis, we present a modification of the basic SIR (Susceptible - Infected - Removed) disease model, an SIPR (Susceptible - Regular Infected - Super-spreader - Removed) model, which captures the effect of the SSEs.

Elucidation Of Fragmentation Pathways Of Nitrile-Terminated Ppi Dendrimer-Metal Complexes, Kristen Nicole Pack

Theses, Dissertations and Capstones

The complexity of branching macromolecules around a core unit, such as poly(propylene)imine (PPI) dendrimers, has caught the attention of researchers for several years^1,2,3,4,5. The structural framework of the core unit for these dendrimers is simply 1,4- diaminobutane. As the synthesis of higher-order generations of the macromolecule progresses, the molecules become very complex and tightly woven, but have predictable geometries and properties. The PPI dendrimers can be functionalized at the terminal ends of the branches in order to elicit different properties. The PPI dendrimer examined in this project has been terminated with a nitrile group rather than the usual …

Freezing And Melting Hysteresis Measurements In Solutions Of Hyperactive Antifreeze Protein From An Antarctic Bacteria, Yeliz Celik, Ran Drori, Laurie Graham, Yee-Foong Mok, Peter L. Davies, Ido Braslavsky

Physics Faculty Research

Antifreeze proteins (AFPs) evolved in cold-adapted organisms and serve to protect them against freezing in cold conditions by arresting ice crystal growth. Recently, we have shown quantitatively that adsorption of AFPs not only prevents ice from growing but also from melting. This melting inhibition by AFPs, which results in superheated ice (Celik et al, PNAS 2010), is not a well-known phenomenon. Here we present our recent findings in which the Ca2+-dependent hyperactive AFP from Marinomonas primoryensis (MpAFP) clearly displays this property. Additionally, we found that an ice crystal that is initially stabilized and protected by this type of AFP can …

Hydrolysis Of P-Nitrophenyl Esters Promoted By Semi-Fluorinated Quaternary Ammonium Polymer Latexes And Films, Baljinder Kaur, Sean P. Mcbride, Warren T. Ford

Physics Faculty Research

Semifluorinated polymer latexes were prepared by emulsion polymerization of 2.5-25% of a fluoroalkyl methacrylate, 25% chloromethylstyrene, 1% styrylmethyl(trimethyl)ammonium chloride, and the remainder 2-ethylhexyl methacrylate under surfactant-free conditions. The chloromethylstyrene units were converted to quaternary ammonium ions with trimethylamine. In aqueous dispersions at particle concentrations of less than 1 mg mL^-1 the quaternary ammonium ion latexes promoted hydrolyses of p-nitrophenyl hexanoate (PNPH) in pH 9.4 borate buffer and of diethyl p-nitrophenyl phosphate (Paraoxon) in 0.1 M NaOH at 30 ^oC with half-lives of less than 10 minutes. Thin 0.7-2 μm films of the latexes on glass promoted fast …

A Hybrid Particle-Continuum Method For Hydrodynamics Of Complex Fluids, Alejandro Garcia, A. Donev, J. B. Bell, B. Alder

Faculty Publications

A previously developed hybrid particle-continuum method [J. B. Bell, A. Garcia, and S. A. Williams, Multiscale Model. Simul., 6 (2008), pp. 1256–1280] is generalized to dense fluids and two- and three-dimensional flows. The scheme couples an explicit fluctuating compressible Navier–Stokes solver with the isotropic direct simulation Monte Carlo (DSMC) particle method [A. Donev, A. L. Garcia, and B. J. Alder, J. Stat. Mech. Theory Exp., 2009 (2009), article P11008]. To achieve bidirectional dynamic coupling between the particle (microscale) and continuum (macroscale) regions, the continuum solver provides state-based boundary conditions to the particle subdomain, while the particle solver provides flux-based boundary …