Physical Sciences and Mathematics Commons^™

Interval Neutrosophic Logic, Haibin Wang, Florentin Smarandache, Yan-Qing Zhang, Rajshekhar Sunderraman

Branch Mathematics and Statistics Faculty and Staff Publications

Interval Neutrosophic Logic

Solving Diophantine Equations, Florentin Smarandache, Octavian Cira

Branch Mathematics and Statistics Faculty and Staff Publications

In recent times, we witnessed an explosion of Number Theory problems that are solved using mathematical software and powerful computers. The observation that the number of transistors packed on integrated circuits doubles every two years made by Gordon E. Moore in 1965 is still accurate to this day. With ever increasing computing power more and more mathematical problems can be tacked using brute force. At the same time the advances in mathematical software made tools like Maple, Mathematica, Matlab or Mathcad widely available and easy to use for the vast majority of the mathematical research community. This tools don’t only …

Phases Of Bosons In Optical Lattices And Coupled To Artificial Gauge Fields, Qinqin Lu

LSU Doctoral Dissertations

Ultracold atoms have emerged as an indispensable setting to study quantum many-body systems. Recent experimental and theoretical work has explored the curious phases and novel properties of Bose-Einstein Condensate with optical lattices, and Bose-Einstein Condensate with light-induced artificial spin-orbit coupling. In this thesis, we report our research on these two types of boson systems. In the first topic, in contrast with calculations of bosons in optical lattices that focus on the tight-binding regime, we note that the single-particle states of bosons in a periodic potential generally satisfy the Mathieu equation, and have developed a formalism for studying bosons in an …

Effects Of Forest Fragmentation On Central Amazonian Bird Demography, Jared Desmond Wolfe

LSU Doctoral Dissertations

Avian diversity in degraded fragmented Amazonian landscapes depends on the persistence of species in cleared and disturbed areas. Regenerating forest facilitates bird dispersal within degraded Amazonian landscapes and may tip the balance in favor of persistence in previously depauperate habitat patches. Despite the potential value of Amazonian second growth, we lack comparisons of demography among second growth, continuous forest, forest fragments in regenerating landscapes, and truly isolated fragments. Here, we used point-count and capture data to compare Amazonian bird communities among continuous forest plots, 100 ha forest fragments with adjacent second growth, 100 ha forested islands bounded by water, young …

Cyanobacteria Harmful Algal Blooms In South Louisiana Estuaries : A Synthesis Of Field Research, Management Implications, And Outreach, Emily Anne Smith

LSU Doctoral Dissertations

Estuaries are biologically productive and important habitats for several fisheries. However, human intervention has separated many estuaries from their needed freshwater source and the commonly used solution is to use diversions to regulate the flow. This episodic increase in nutrients into estuaries has sometimes led to the formation of freshwater cyanobacteria HABs (CyanoHABs). The goal of this dissertation was to look at a field research study of phytoplankton bloom dynamics; management implications for cyanobacteria entering estuaries; and an outreach effort in relation to residents knowledge about cyanobacteria and algae. The first study compared the phytoplankton bloom dynamics, specifically CyanoHABs, in …

Phytoplankton Response To South Louisiana Crude Oil Exposure: Determining Impacts At Individual, Community, Toxin Production, Enzymatic-Activity And Gene-Expression Levels, Koray Ozhan

LSU Doctoral Dissertations

The Deepwater Horizon oil spill in the Gulf of Mexico (GoM) raised an important question. What is the ecological impact of the oil, the dispersant, and the dispersed oil to the GoM ecosystem? Significant and varying research efforts have contributed answers to this question. However, to better understand the complete ecological consequences of the spill in the GoM, the impact of the spill at the base of marine food web should be examined. This research aims to understand impact of the spilled oil, South Louisiana crude oil (LSC), the chemical dispersant, Corexit® EC9500A, and the dispersed oil on phytoplankton communities …

Efficient Indexing For Structured And Unstructured Data, Manish Madhukar Patil

LSU Doctoral Dissertations

The collection of digital data is growing at an exponential rate. Data originates from wide range of data sources such as text feeds, biological sequencers, internet traffic over routers, through sensors and many other sources. To mine intelligent information from these sources, users have to query the data. Indexing techniques aim to reduce the query time by preprocessing the data. Diversity of data sources in real world makes it imperative to develop application specific indexing solutions based on the data to be queried. Data can be structured i.e., relational tables or unstructured i.e., free text. Moreover, increasingly many applications need …

From Micro- To Nano-Scale: Applications Of Solid-Phase Enzymatic Reactors For Biopolymer Disassembly, Nyote J. Calixte

LSU Doctoral Dissertations

The process of immobilizing enzymes onto solid supports for bioreactions has some compelling advantages compared to their solution-based counterpart including the facile separation of enzyme from products, elimination of enzyme autodigestion, and increased enzyme stability and activity. We report in this work, the immobilization of λ-exonuclease onto poly(methylmethacrylate) (PMMA) micro- and nano-pillars populated within a fluidic devices for the micro and nanoscale on-chip digestion of double-stranded DNA. Enzyme immobilization in both studies was successfully accomplished using 3-(3-dimethylaminopropyl) carbodiimide/N-hydroxysuccinimide (EDC/NHS) coupling to carboxylic acid functionalized PMMA micropillars. Our micro-scale results suggest that the reaction efficiency for the catalysis of dsDNA digestion …

Local Conjugations Of Groups And Applications To Number Fields, Bir B. Kafle

LSU Doctoral Dissertations

This dissertation studies pairs of subgroups H, H' of a finite group G together with a bijective map Φ H −> H' that is a local conjugation, meaning that each element h in H is conjugate in G to its image Φ(h). The map Φ is not required to take products to products. The motivation for studying such pairs comes from a paper of F. Gassmann in 1926, in which he formulated an equivalent but different-sounding condition now known as Gassmann’s condition. There are now at least ten equivalent reformulations of Gassmann’s condition, of which local conjugation is perhaps the …

Surface Chemistry And Growth Of Oxide Supported Metal Nanoparticles, Ziyu Zhang

LSU Doctoral Dissertations

A model heterogeneous catalyst inspired by a real catalyst is synthesized for the purpose of understanding how it works. To make such model catalysts, we choose to evaporate metal atoms on metal oxide single crystals and measure them under UHV conditions. The study of model catalysts could advance the understandings of fundamental catalytic properties of real catalysts and helps to optimize or redesign industrial catalysts. In our experiments, many ultra-high vacuum (UHV) techniques have been employed to investigate the atomic and electronic structure of the surface as well as the interface of the prepared samples. In particular, the surface-sensitive tools …

Improved Synthesis, Separation, Transition Metal Coordination And Reaction Chemistry Of A New Binucleating Tetraphosphine Ligand, Ekaterina Kalachnikova

LSU Doctoral Dissertations

The first chapter of this dissertation involves discussion of alkene hydration and oxidative cleavage reactions catalyzed by late transition metal complexes. Previously reported results are summarized here. Mechanistic aspects of alkene hydration catalyzed by late transition metal complexes are also explained. The second part of Chapter 1 focuses on motivation for using bimetallic nickel phosphine complexes as possible catalytic precursors for alkene hydration. Chapter 2 describes studies into alkene hydration in the presence of catalytic amounts of dinickel phosphine complexes based on linear tetraphosphine ligand, PEt2CH2CH2(Ph)PCH2P(Ph)CH2CH2PEt2, et,ph-P4. Under conditions tested no alcohol products were detected. However we have observed formation …

Spin-Mediated Transport In Superconducting And Spin-Polarized Systems, Joseph C. Prestigiacomo

LSU Doctoral Dissertations

The effects of spin-imbalance on the electronic transport properties of spin-polarized and superconducting systems have been studied in detail. The transport properties of the quaternary Heusler alloys Co2MnSi1-xAlx (0≤x≤1), which have been theoretically predicted to develop a half-metallic band structure as x→0, were investigated. Resistivity versus temperature measurements as a function of Al concentration (x) revealed a systematic reduction in the residual resistivity ratio as well as a transition from weakly-localized to half-metallic conduction as x→0. From measurements of the ordinary and anomalous Hall effects, the charge carrier concentration was found to increase, while the anomalous Hall coefficient decreased by …

“Trans-Positioning” Carbons Within Strained Caged Bicyclic(S): Rom/Rcm (Ring-Opening/Ring-Closing) Metathesis And Dieckmann/Retro-Dieckmann Condensation Routes To A Cis-Decalin Infrastructure, Stefan Malone Cooper Jr

LSU Doctoral Dissertations

This dissertation describes methodology work involving a “Trans-Positioning” motif engaging strategically positioned carbons within a strained bi-carbocyclic core and on a tethered free-dangling hydrocarbon chain ultimately for skeletal rearrangement. Trans-alkenylation and trans-acylation processes are devised for investigation with bicyclo[2.2.2]octyl and bicyclo[2.2.1]heptyl strained cores. Recent advances in olefin metathesis led to an independent proposal of the now applicable, RRM (Ring-Rearranging Metathesis) for trans-alkenylation purposes. A resourceful Dieckmann/retro-Dieckmann sequence is devised for trans-acylation motives. Finally, this dissertation includes atypical diastereoselective reductions and additions which were serendipitously found with trigonal carbon atoms appended to our pertinent strained systems while in pursuit of our …

A Standardized Ultrasonography Classification For Channel Catfish Ovarian Development, Noel D. Novelo

LSU Doctoral Dissertations

The goal of this dissertation was to develop application of ultrasonography as a decision-making tool in genetic improvement programs for channel catfish Ictalurus punctatus. A literature review on the use of ultrasonography in fish reproduction generated a comprehensive reference data set intended to benefit existing and potential users. It exposed the need for reporting of instrument control settings and standardization of fish handling and imaging procedures. These issues were addressed from the onset of this work by assessing more than 6,300 channel catfish ovaries by use of initial fish handling and imaging procedures developed (2004-2005) at the Louisiana State University …

Reductive Alkylation Of Proteins Towards Structural And Biological Applications, Kevin Jerome Roberson

LSU Doctoral Dissertations

Nuclear magnetic resonance (NMR) spectroscopy is a proven technique for protein structure and dynamic studies, typically requiring the incorporation of stable magnetic isotopes to improve sensitivity and assign resonances. Degenerate levels of 13C-incorporation have been the biggest obstacle for mass spectrometry-assisted assignment of 13C-dimethylamine resonances in nuclear magnetic resonance spectroscopy (NMR). Reductive 13C-methylation is an alternative labeling method for proteins not amenable to bacterial host overexpression. Because reductive 13C-methylation adds sparse, isotopic labels, traditional methods of assigning the NMR signals are not applicable. The research presented in the first part of this dissertation explores several methods used to break the …

Sign Learning Kink Based Quantum Monte Carlo Applied To Multiple Large Systems H2O, N2, F2, Xiaoyao Ma

LSU Doctoral Dissertations

A Sign Learning Kink (SiLK) based Quantum Monte Carlo (QMC) method is used to calculate the ground state energies for H₂O, N₂ and F₂ molecules. This method has two stages. The first (learning stage) reduces the minus sign problem by optimizing the states which are used in the second (QMC stage). I test the method in Single, Double excitations (SD), Single, Double, and Triple excitations (SDT), and Full Configuration Interaction (FCI) vector spaces. I also perform exact diagonalization in those vector spaces as a benchmark. In each vector space and for each molecule, I perform SiLK …

The Gaussian Radon Transform For Banach Spaces, Irina Holmes

LSU Doctoral Dissertations

The classical Radon transform can be thought of as a way to obtain the density of an n-dimensional object from its (n-1)-dimensional sections in diff_x001B_erent directions. A generalization of this transform to infi_x001C_nite-dimensional spaces has the potential to allow one to obtain a function de_x001C_fined on an infi_x001C_nite-dimensional space from its conditional expectations. We work within a standard framework in in_x001C_finite-dimensional analysis, that of abstract Wiener spaces, developed by L. Gross. The main obstacle in infinite dimensions is the absence of a useful version of Lebesgue measure. To overcome this, we work with Gaussian measures. Specifically, we construct Gaussian measures …

Explicit Equations Of Non-Hyperelliptic Genus 3 Curves With Real Multiplication By Q(ζ7+ζ7-1), Dun Liang

LSU Doctoral Dissertations

This thesis is devoted to proving the following:

For all (u₁, u₂, u₃, u₄) in a Zariski dense open subset of C⁴ there is a genus 3 curve X(u₁, u₂, u₃, u₄) with the following properties:

1. X(u₁, u₂, u₃, u₄) is not hyperelliptic.
2. End(Jac((X(u₁, u₂, u₃, u₄))) ⊗Q contains the real cubic field Q(ζ₇+ζ₇^-1) where ζ₇ is …

Crystal Structure And Superconductivity Of Yba2cu3o7-X, Brent Allen Howe

All Graduate Theses, Dissertations, and Other Capstone Projects

The crystal structure and superconducting properties of samples of YBa2Cu3O7-x with oxygen contents 0.21 ≤ x ≥ 0.67 were investigated. The crystal structure and magnetic properties change with oxygen content. All samples were found to have orthorhombic crystal structure. The lattice parameters a and c were observed to monotonically increase while b nearly monotonically decreases with decreasing oxygen content. The unit cell volume increases with decreasing oxygen content as well. The critical temperature, Tc, and the superconducting volume fraction of the samples decreased with decreasing oxygen content.

Study Of Touch Gesture Performance By Four And Five Year-Old Children: Point-And-Touch, Drag-And-Drop, Zoom-In And Zoom-Out, And Rotate, Zainab Hamza

All Graduate Theses, Dissertations, and Other Capstone Projects

Past research has focused on children's interaction with computers through mouse clicks, and mouse research studies focused on point-and-click and drag-and-drop. However, More research is necessary in regard to children's ability to perform touch gestures such as point-and-touch, drag-and-drop, zoom-in and zoom-out, and rotate. Furthermore, research should consider specific gestures such as zoom-in and zoom-out, and rotate tasks for young children. The aim of this thesis is to study the ability of 4 and 5 year-old children to interact with touch devices and perform tasks such as: point-and-touch, drag-and-drop, zoom-in and zoom-out, and rotate. This thesis tests an iPad application …

A Dynamic, Distributed Hydrologic Model For The Blue Earth River Watershed, Minnesota With Implications Regarding Land Use And Water Quality, Michael L. Merlini

All Graduate Theses, Dissertations, and Other Capstone Projects

The Blue Earth River (BER) watershed covers approximately one million acres of south-central Minnesota and northern Iowa. Modern farming practices have led to the loss of over 90 percent of the watershed's original wetlands. Corresponding changes in runoff and stream flow have led to dramatically reduced water quality in the BER's main stem following most precipitation events. The purpose of this research is to examine the relationships among precipitation, infiltration, base flow, and runoff in the Blue Earth River watershed basin.

This study developed a calibrated numerical hydrologic model for BER watershed using the distributed flow model, Vflo™. The model …

Long-Range Propagation, Interaction, And Dissipation Of Small-Scale Gravity Waves In The Mesosphere And Lower Thermosphere, Christopher J. Heale

Doctoral Dissertations and Master's Theses

A 2-D nonlinear, compressible numerical model [Snively and Pasko, 2008] is used in conjunction with ray-theory to investigate the long-range propagation, dissipation and interaction of small-scale gravity waves in the Mesosphere and Lower Thermosphere (MLT) region. The research in this thesis is made up of three distinct studies which build upon each other. The first investigates the thermospheric dissipation of three gravity wave packets representing: (1) A quasi-monochromatic packet, (2) A monochromatic, steady state wave, and (3) A spectrally broad packet, as well as an initial condition specified packet. It is found that dissipation due to molecular viscosity and …

Development Of Structural Basins And Domes On The Sinn El-Kaddab Plateau, Egypt: Insights From In Situ Data And Application Of Moderate Resolution Orbital Imagery Of The Seiyal Fault, Thomas J. Jerris

Masters Theses

"The Seiyal Fault, one of many east-west trending faults located in the Western Desert of Egypt, and associated structural basins and domes are investigated using remote sensing imagery and field studies. Analysis of Shuttle Reconnaissance Topography Mission data, multi-spectral data from the Landsat Thematic Mapper (LM), Landsat 7 Enhanced Thematic Mapper Plus (ETM+), the Advanced Spaceborne Thermal Emission and Reflectometer (ASTER) data, and imagery from Google Earth. Band combinations 3-2-1 and 7-4-2 in ETM+ and 3N-2-1 and 7-3-1 in ASTER, and Google Earth provided the most useful images for geologic mapping. The Seiyal Fault is best characterized as a zone …

Efficient Data Access In Mobile Cloud Computing, Siva Naga Venkata Chaitanya Vemulapalli

Masters Theses

"This thesis focuses on the development of efficient data transfer mechanism among mobile devices using Mobile cloud computing paradigm. Mobile cloud computing is coupling of mobile computing and cloud computing. In the Mobile cloud computing paradigm, users connect to cloud service providers over the Internet and leverage the cloud resources to perform their processing, storage and communication tasks. In this thesis, the focus is on communication tasks among mobile devices performed using Mobile cloud computing paradigm.

Communication or data sharing among mobile devices is often limited by proximity of the devices. This limitation can be removed by employing Mobile cloud …

Access Control Delegation In The Clouds, Pavani Gorantla

Masters Theses

"Current market trends need solutions/products to be developed at high speed. To meet those requirements sometimes it requires collaboration between the organizations. Modern workforce is increasingly distributed, mobile and virtual which will incur hurdles for communication and effective collaboration within organizations. One of the greatest benefits of cloud computing has to do with improvements to organizations communication and collaboration, both internally and externally. Because of the efficient services that are being offered by the cloud service providers today, many business organizations started taking advantage of cloud services. Specifically, Cloud computing enables a new form of service in that a service …

Adaptive Wavelet Discretization Of Tensor Products In H-Tucker Format, Mazen Ali

Masters Theses

"In previous work, the solution to a system of coupled parabolic PDEs, modeling the price of a CDO, was approximated numerically. Due to the nature of the problem, the system involved a large number of equations such that the parameters cannot be stored explicitly. The authors combined the data sparse H-Tucker storage format with the Galerkin method to approximate the solution, using wavelets for the space discretization together with time stepping (Method of Lines). The aforementioned approximation is of the linear kind, i.e., using a nonadaptive method. In this work, three methods for solving such systems adaptively are presented, together …

Gold-Magnetite Nanoparticle-Biomolecule Conjugates: Synthesis, Properties And Toxicity Studies, Akshay Pariti

Masters Theses

"This thesis study focuses on synthesizing and characterizing gold-magnetite optically active magnetic nanoparticle and its conjugation with biomolecules for biomedical applications, especially magnetic fluid hyperthermia treatment for cancerous tissue. Gold nanoparticles have already displayed their potential in the biomedical field. They exhibit excellent optical properties and possess strong surface chemistry which renders them suitable for various biomolecule attachments. Studies have showed gold nanoparticles to be a perfect biocompatible vector. However, clinical trials for gold mediated drug delivery and treatment studied in rat models identified some problems. Of these problems, the low retention time in bloodstream and inability to maneuver externally …

Microwave Assisted Reconstruction Of Optical Interferograms For Distributed Fiber Optics Sensing & Characterization Of Pcb Dielectric Properties Using Two Striplines On The Same Board, Lei Hua

Masters Theses

"A new concept, the microwave-assisted reconstruction of an optical interferogram for distributed sensing, was developed to resolve both the position and reflectivity of each sensor along an optical fiber. This approach involves sending a microwave-modulated optical signal through cascaded fiber optic interferometers. The optical spectrum of each sensor can be reconstructed by sweeping the optical wavelength and detecting the modulation signal. A series of cascaded fiber optic extrinsic Fabry-Perot interferometric sensors was used to prove the concept. The microwave-reconstructed interferogram matched well with those recorded individually from a traditional optical spectrometer. The application of distributed strain measurement was also investigated. …

Pn Anisotropy Tomography Of The Colorado Plateau And Adjacent Areas, Shengyao Cheng

Masters Theses

"The Pn tomography method utilizes seismic waves that refract along the Moho interface to perform inversion in order to investigate velocity anomalies and seismic anisotropy in the uppermost mantle. Results from Pn tomography can provide important information about the composition, temperature, and tectonic processes beneath the study area. Over the past decades, numerous seismic and geologic studies have been conducted in the Colorado Plateau and its adjacent areas to reveal crustal and mantle structures and processes responsible for the diverse surface geological features and tectonic events that have occurred in this area. To investigate lateral variations in the uppermost mantle …

On Temporal And Frequency Responses Of Smartphone Accelerometers For Explosives Detection, Srinivas Chakravarthi Thandu

Masters Theses

"The increasing frequency of explosive disasters throughout the world in recent years have created a clear need for the systems to monitor for them continuously for better detection and to improve the post disaster rescue operations. Dedicated sensors deployed in the public places and their associated networks to monitor such explosive events are still inadequate and must be complemented for making the detection more pervasive and effective. Modern smart phones are a rich source of sensing because of the fact that they are equipped with wide range of sensors making these devices an appealing platform for pervasive computing applications. The …