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USF Tampa Graduate Theses and Dissertations

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Anaerobic Membrane Bioreactor (Anmbr) For Treatment Of Landfill Leachate And Removal Of Micropollutants, Anh Tien Do Jan 2011

Anaerobic Membrane Bioreactor (Anmbr) For Treatment Of Landfill Leachate And Removal Of Micropollutants, Anh Tien Do

USF Tampa Graduate Theses and Dissertations

To date, most studies on the fate and removal of endocrine disrupting compounds (EDCs) and pharmaceutical and personal care products (PPCPs) in wastewater focus on their fate in municipal wastewater treatment plants, and mostly under aerobic condition. There are limited studies related to anaerobic condition and (to our knowledge) no study on the removal of EDCs in landfill leachate by AnMBR. Moreover, for most studies under anaerobic condition, the removal of EDCs was only reported in the liquid phase; solid phase extraction was not reported, thereby preventing mass balance in the studies.

This research was conducted to investigate the potential …


Apparent Total Evaporative Resistance Values From Human Trials Over A Range Of Metabolic And Heat Stress Levels, Matthew David Dooris Jan 2011

Apparent Total Evaporative Resistance Values From Human Trials Over A Range Of Metabolic And Heat Stress Levels, Matthew David Dooris

USF Tampa Graduate Theses and Dissertations

Failure to maintain thermal equilibrium can cause uncontrollable increases in body core temperature beyond critical upper limits. In selecting clothing, consideration must be given to the heat transfer properties of clothing that may restrict the cooling capacity of the human body under heat stress conditions, most importantly, apparent total evaporative resistance (Re,T,a). This study calculated and compared Re,T,a for five clothing ensembles under varying heat stress conditions, including three relative humidity (RH) levels and three stages of heat stress to determine if Re,T,a values varied or remained the same with …


A Framework For Determining The Reliability Of Nanoscale Metallic Oxide Semiconductor (Mos) Devices, Wilkistar Otieno Dec 2010

A Framework For Determining The Reliability Of Nanoscale Metallic Oxide Semiconductor (Mos) Devices, Wilkistar Otieno

USF Tampa Graduate Theses and Dissertations

An increase in worldwide investments during the past several decades has pro-pelled scienti c breakthroughs in nanoscience and technology research to new and exciting levels. To ensure that these discoveries lead to commercially viable prod-ucts, it is important to address some of the fundamental engineering and scientific challenges related to nanodevices. Due to the centrality of reliability to product integrity, nanoreliability requires critical analysis and understanding to ensure long-term sustainability of nanodevices and systems. In this study, we construct a relia-bility framework for nanoscale dielectric lms used in Metallic Oxide Semiconductor (MOS) devices. The successful fabrication and incorporation of metallic …


Advanced Signal Processing Techniques For Single Trial Electroencephalography Signal Classification For Brain Computer Interface Applications, Kun Li Dec 2010

Advanced Signal Processing Techniques For Single Trial Electroencephalography Signal Classification For Brain Computer Interface Applications, Kun Li

USF Tampa Graduate Theses and Dissertations

Brain Computer Interface (BCI) is a direct communication channel between brain and computer. It allows the users to control the environment without the need to control muscle activity [1-2]. P300-Speller is a well known and widely used BCI system that was developed by Farwell and Donchin in 1988 [3]. The accuracy level of the P300-BCI Speller as measured by the percent of communicated characters correctly identified by the system depends on the ability to detect the P300 event related potential (ERP) component among the ongoing electroencephalography (EEG) signal. Different techniques have been tested to reduce the number of trials needed …


Corrole Synthesis And Catalytic Applications Toward Cobalt(Iii)-Catalyzed Epoxidation, N-H Insertion, And Cyclopropanation, Chung Sik Kim Dec 2010

Corrole Synthesis And Catalytic Applications Toward Cobalt(Iii)-Catalyzed Epoxidation, N-H Insertion, And Cyclopropanation, Chung Sik Kim

USF Tampa Graduate Theses and Dissertations

A variety of bromocorroles, useful precusors for Pd-based cross coupling, were sucessfully synthesized in moderate to good yields. Chiral corroles were also synthesized through use of chiral amides in the aforementioned cross coupling reactions. Cobalt complexes bearing π-acceptor (CNtBu) and σ-donor (PPh3) ligands were also prepared in excellent yields. In this dissertation, cobalt (III) corrole complexes were applied to three different reaction areas: epoxidation, N-H insertion, and cyclopropanation. Cobalt(III) corroles were found to be efficient catalysts for epoxidation reactions. The epoxidation reactions can be carried out using ethyl phenyldiazoacetate, an acceptor/donor diazo compound, as a carbenoid precusor.The reaction provided highly …


Design And Synthesis Of Beta-Hairpin Peptidomimetics For Modulating Integrin Mediated Cell Adhesion, Abeta Fibrillogenesis And P53-Mdm2 Protein-Protein Interactions, Priyesh Jain Dec 2010

Design And Synthesis Of Beta-Hairpin Peptidomimetics For Modulating Integrin Mediated Cell Adhesion, Abeta Fibrillogenesis And P53-Mdm2 Protein-Protein Interactions, Priyesh Jain

USF Tampa Graduate Theses and Dissertations

Inhibiting therapeutically important protein-protein interactions has been a tremendous challenge for medicinal chemists. The folded 3D structures of peptides and proteins, mainly comprise secondary structural elements i.e α-helices and β-sheet have created an opportunity to design small molecules and peptidomimetic inhibitors of protein-protein interaction (PPI). Hence, information about the formation and stabilization of these secondary structures is vital for designing future drugs. In this dissertation, several cyclic beta-hairpin peptidomimetics that mimic the recognition surface have been designed and synthesized as inhibitors for different targets such as integrin mediated extracellular matrix -cell adhesion in multiple myeloma, p53-MDM2 PPI, amyloid beta fibrillogenesis …


Dna Methylation And Its Association With Prenatal Exposures And Pregnancy Outcomes, Jennifer Straughen Dec 2010

Dna Methylation And Its Association With Prenatal Exposures And Pregnancy Outcomes, Jennifer Straughen

USF Tampa Graduate Theses and Dissertations

Altered DNA methylation may lead to suboptimal fetal programming, increasing the risk of adverse pregnancy outcomes such as small for gestational age (SGA); however, few studies have examined the associations between DNA methylation, prenatal exposures, and fetal outcomes. Cross-sectional data from a larger, ongoing study were used to assess the impact of prenatal smoking on gene specific methylation of umbilical cord blood derived DNA and to investigate the association between gene-specific methylation and risk of SGA. The association between gene-specific DNA methylation and birthweight was also assessed. Maternal and infant covariates were abstracted from medical records, cigarette smoke exposure was …


Evaluation Of Common Inherited Variants In Mitochondrial-Related And Microrna-Related Genes As Novel Risk Factors For Ovarian Cancer, Jennifer Permuth Wey Dec 2010

Evaluation Of Common Inherited Variants In Mitochondrial-Related And Microrna-Related Genes As Novel Risk Factors For Ovarian Cancer, Jennifer Permuth Wey

USF Tampa Graduate Theses and Dissertations

Epithelial ovarian cancer (EOC) is a leading cause of morbidity and mortality among women in the United States, and the etiology is incompletely understood. Common, low penetrant genetic variants such as single nucleotide polymorphisms (SNPs) likely contribute to a significant proportion of EOC. We examined whether SNPs in two understudied yet biologically important types of genes, mitochondrial-related and miRNA-related genes, may contribute to EOC susceptibility using data from a large, homogeneous study population of 1,815 EOC cases and 1,900 controls (frequency-matched on age-group and race/ethnicity) genotyped through stage 1 of an ongoing genome-wide association study. Inter-individual variation in genes involved …


Aspects Of The Life History Of The Snowy Grouper, Epinephelus Niveatus, In The Gulf Of Mexico, Kelley Kowal Dec 2010

Aspects Of The Life History Of The Snowy Grouper, Epinephelus Niveatus, In The Gulf Of Mexico, Kelley Kowal

USF Tampa Graduate Theses and Dissertations

Knowledge of many life history parameters are essential to properly assess and manage fish species. Although the snowy grouper, Epinephelus niveatus, is a commercially valuable fish, which is harvested throughout the Gulf of Mexico, little is known about its age, growth, and reproduction from this region. In this study, snowy grouper from the northern and eastern regions of the Gulf of Mexico were examined primarily using commercially-derived samples that were collected between 1984 and 2004. A total of 1,200 snowy grouper with fork lengths between 242 and 1,190 mm were collected. Sectioned saggital otoliths were used to determine the age …


Discovery Of Novel Viruses From Animals, Plants, And Insect Vectors Using Viral Metagenomics, Terry Fei Fan Ng Dec 2010

Discovery Of Novel Viruses From Animals, Plants, And Insect Vectors Using Viral Metagenomics, Terry Fei Fan Ng

USF Tampa Graduate Theses and Dissertations

Understanding emerging viruses is critical for disease monitoring and prediction; however, surveys of novel viruses are hindered by the lack of a universal assay for viruses. Viral metagenomics, consisting of viral particle purification and shotgun sequencing, is a powerful technique for discovering viruses in a wide variety of sample types. However, current protocols are not effective on tissue samples (e.g., lungs, livers and tumors), where they are hindered by the high amount of host nucleic acids which limits the percentage of sequences that originate from viruses. In this dissertation, a modified viral metagenomics protocol was developed and utilized to effectively …


The Roles Of Elevated Bcl-2 In Ovarian Cancer, Nicole Shree Anderson Dec 2010

The Roles Of Elevated Bcl-2 In Ovarian Cancer, Nicole Shree Anderson

USF Tampa Graduate Theses and Dissertations

Ovarian cancer (OC) is the second most common gynecologic cancer; however it is responsible for the most gynecologic cancer-related deaths. Apoptosis evasion is an important mechanism in OC tumorigenesis, and the prototypic anti-apoptotic protein, B-cell lymphoma 2 (Bcl-2), is often overexpressed in OC tumors. Gaining a better understanding of the mechanism(s) behind Bcl-2 overexpression and potential extra-anti-apoptotic functions of Bcl-2 could elucidate the importance of elevated Bcl-2 in OC. In the current study, I show through immunohistochemical analysis of normal, benign, and OC tissue sections, that both epithelial and stromal Bcl-2 expression decreases with OC progression. However, the number of …


Modern Variation In Predation Intensity: Constraints On Assessing Predator-Prey Relationships In Paleoecologic Reconstructions, James Funderburk Nov 2010

Modern Variation In Predation Intensity: Constraints On Assessing Predator-Prey Relationships In Paleoecologic Reconstructions, James Funderburk

USF Tampa Graduate Theses and Dissertations

The complex interaction between predators and their prey is rarely preserved in the fossil record. However, predation of marine mollusks by drilling gastropods leaves a diagnostic hole in the shell of the prey, possibly allowing for quantitative analysis of this ecological interaction. Drilling frequency, as measured in marine mollusks both in the Modern and fossil record, has been heralded as a potential opportunity to quantify these ecological interactions and use these values in the testing of hypotheses.

This study employed the collection, tallying, and analysis of bulk samples derived from shelly deposits on 45 Modern beaches along the contiguous coast …


Design, Synthesis & Biological Activity Of Novel Protein Tyrosine Phosphatase (Ptp) Mimetics, Sridhar Reddy Kaulagari Nov 2010

Design, Synthesis & Biological Activity Of Novel Protein Tyrosine Phosphatase (Ptp) Mimetics, Sridhar Reddy Kaulagari

USF Tampa Graduate Theses and Dissertations

Protein phosphorylation is a post translational modification of proteins in which a serine, a threonine or a tyrosine residue is phosphorylated by an enzyme, kinase. Phosphorylation of proteins is a reversible and very important regulatory mechanism that occurs in both prokaryotes and eukaryotes. Phosphorylation turns many protein enzymes on and off, preventing or causing many diseases such as diabetes, cancer and rheumatoid arthritis. The phosphorylation on tyrosine residues of proteins is essential for transmission of signals for cell growth, proliferation and differentiation. Protein tyrosine phosphatases (PTPs) in concert with protein tyrosine kinases (PTKs) regulate many signal transduction pathways by controlling …


Voltage Stability Impact Of Grid-Tied Photovoltaic Systems Utilizing Dynamic Reactive Power Control, Adedamola Omole Nov 2010

Voltage Stability Impact Of Grid-Tied Photovoltaic Systems Utilizing Dynamic Reactive Power Control, Adedamola Omole

USF Tampa Graduate Theses and Dissertations

Photovoltaic (PV) DGs can be optimized to provide reactive power support to the grid,

although this feature is currently rarely utilized as most DG systems are designed to

operate with unity power factor and supply real power only to the grid. In this work, the

voltage stability of a power system embedded with PV DG is examined in the context of

the high reactive power requirement after a voltage sag or fault. A real-time dynamic

multi-function power controller that enables renewable source PV DGs to provide the

reactive power support necessary to maintain the voltage stability of the microgrid, and …


Libs And Lite Emission Based Laser Remote Sensing Of Chemical Species And Enhanced Modeling Of Atmospheric Absorption, Dzianis V. Pliutau Nov 2010

Libs And Lite Emission Based Laser Remote Sensing Of Chemical Species And Enhanced Modeling Of Atmospheric Absorption, Dzianis V. Pliutau

USF Tampa Graduate Theses and Dissertations

Laser-Induced Breakdown spectroscopy (LIBS) and Laser-Induced Thermal Emission (LITE) emission based laser remote sensing were investigated with the application to the remote measurements of trace chemical species. In particular, UVvisible LIBS and Mid-IR LITE systems were developed and measurements of remote targets and chemical surfaces were studied. The propagation through the atmosphere of the multi-wavelength backscattered LIBS and LITE optical spectrum with atmospheric absorption effects on the returned lidar signal was investigated. An enhanced model of the atmospheric effects on emission-based laser-remote sensing was developed and found to be consistent and in agreement with our experimental results.

LITE measurements were …


Using Virtual Environments As Professional Development Tools For Pre-Service Teachers Seeking Esol Endorsement, Rebecca J. Blankenship Nov 2010

Using Virtual Environments As Professional Development Tools For Pre-Service Teachers Seeking Esol Endorsement, Rebecca J. Blankenship

USF Tampa Graduate Theses and Dissertations

The purpose of this study was to investigate the potential use of Second Life (Linden Labs, 2004) and Skype (Skype Limited, 2009) as simulated virtual professional development tools for pre-service teachers seeking endorsement in teaching English as a Second Official Language (ESOL. Second Life is an avatar-based Internet program that allows end-users to interact, using audio and chat features, with a digital representation of themselves (an avatar). Skype is an Internet-based video conferencing program that allows users to see each other by way of a webcam. Of particular interest to this study was how a group of 12 pre-service teacher …


Selected Students’, Parents’, And Graduate Student Tutors’ Experiences And Perceptions In A Community Of Interest Summer Literacy Camp, Kim G. Thomas Nov 2010

Selected Students’, Parents’, And Graduate Student Tutors’ Experiences And Perceptions In A Community Of Interest Summer Literacy Camp, Kim G. Thomas

USF Tampa Graduate Theses and Dissertations

In this qualitative case study, I examined a local summer literacy camp in which

graduate student tutors tutored elementary and middle school students in reading and

writing. I focused the study on the primary stakeholders in the summer literacy camp:

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ts, and the course instructor/camp director because

their voices are limited in the current literature. In this Community of Interest Summer

Literacy Camp, the graduate student tutors moved from a position of fear and trepidation

to a position of empowerment in which they hoped to make changes in their classrooms,

schools, and communities. The tutees learned to appreciate the …


Linking Soil Loss To Sediment Delivery In Two Estuaries In Puerto Rico, Nekesha Bernadette Williams Nov 2010

Linking Soil Loss To Sediment Delivery In Two Estuaries In Puerto Rico, Nekesha Bernadette Williams

USF Tampa Graduate Theses and Dissertations

Enhanced soil loss from the watershed is a major environmental issue. Increased soil loss from a watershed can potentially increase sediment delivery and loading to aquatic ecosystems such as rivers and estuaries. An increase in sediment delivery and loading to freshwater and transitional marine ecosystems can impact water quality and supply specifically by: (1) reducing water clarity, (2) transporting nutrient and pollutant laden sediments and (3) reducing the storage capacity of reservoirs. To address these broader environmental impacts of increased sediment delivery and loading to aquatic ecosystems it is imperative that potential source areas of sediments available for transport are …


The Intentions Of Florida Educational Leadership Graduate Students To Pursue Administrative Positions, Daniel Wayne Eadens Nov 2010

The Intentions Of Florida Educational Leadership Graduate Students To Pursue Administrative Positions, Daniel Wayne Eadens

USF Tampa Graduate Theses and Dissertations

This study examined the intentions of educational leadership students in Florida university graduate programs in regards to demographics and self-assessed leadership characteristics. The study employed a non-experimental design wherein Regression, ANOVA, and Multiple Regression statistical techniques were employed to explore intent. It examined the influences that self-assessed leadership behavior, gender, number of credits completed, and age had on respondent intentions as measured by the Leadership Practice Inventory and the Demographics and Intentions Questionnaire. The highest assessed priori sample size was 159 when power was set at 0.80, alpha was 0.05, and the expected effect size was set at .10. This …


Elementary Teachers’ Perceptions Of Technology As A Catalyst For Constructivist Practices In The Classroom: A Case Study, Lynne Brown Menard Nov 2010

Elementary Teachers’ Perceptions Of Technology As A Catalyst For Constructivist Practices In The Classroom: A Case Study, Lynne Brown Menard

USF Tampa Graduate Theses and Dissertations

This research described and analyzed teachers’ perceptions of technology as a catalyst for stimulating classroom constructivist practices. The teachers were located at multiple schools in one Florida county. The teachers were selected based on participation in the Education through Dynamic Global Experiences (EDGE) program. This One-toOne program provides one laptop for every classroom teacher and student. The most frequent ideas in the literature fell into three sections. First is the need to integrate technology as part of the curricula and use constructivism as a theoretical framework for technology integration. The second relates to the best practices of incorporating classroom technology …


Technology Integration For Preservice Science Teacher Educators, Nina C. Stokes Nov 2010

Technology Integration For Preservice Science Teacher Educators, Nina C. Stokes

USF Tampa Graduate Theses and Dissertations

The current state of technology integration in science teacher education programs is examined with a view to providing science teacher educators with practical information and diverse examples of technologies they can model in their own courses. Motivators and barriers to technology integration and use are discussed, and recommendations for choosing and evaluating science technologies made. A brief history of how computers, related communication technologies, and science teacher education reform "fit" together is provided. Multiple interpretations of what is meant by "technology" and associated terms (distance learning, online courses, Web-enhanced courses, simulations, authentic data sets etc.) are included to set the …


Exploring Evaluation In School Districts: School District Evaluators And Their Practice, Susan Hibbard Nov 2010

Exploring Evaluation In School Districts: School District Evaluators And Their Practice, Susan Hibbard

USF Tampa Graduate Theses and Dissertations

This study explored the evaluation practices of internal evaluators in public school districts in a large southern state. The individuals who conduct evaluations in school districts as internal evaluators were identified and background information was collected. The education and training in evaluation was investigated and the types of evaluations typically conducted by those individuals. Respondents (n = 134) revealed conducting evaluations was a secondary role and part of their main job responsibilities. The types of evaluations carried out and the way in which evaluation was practices were revealed. A descriptive framework of the individuals who conduct evaluations in school districts …


Statistical Analysis And Modeling Of Breast Cancer And Lung Cancer, Chunling Cong Nov 2010

Statistical Analysis And Modeling Of Breast Cancer And Lung Cancer, Chunling Cong

USF Tampa Graduate Theses and Dissertations

The objective of the present study is to investigate various problems associate with breast cancer and lung cancer patients. In this study, we compare the effectiveness of breast cancer treatments using decision tree analysis and come to the conclusion that although certain treatment shows overall effectiveness over the others, physicians or doctors should discretionally give different treatment to breast cancer patients based on their characteristics. Reoccurrence time of breast caner patients who receive different treatments are compared in an overall sense, histology type is also taken into consideration. To further understand the relation between relapse time and other variables, statistical …


Optical Design Of Beam Shaping Optics For Camera Probe And Led Light Illumination Used For Minimally Invasive Abdominal Surgery, Weiyi He Nov 2010

Optical Design Of Beam Shaping Optics For Camera Probe And Led Light Illumination Used For Minimally Invasive Abdominal Surgery, Weiyi He

USF Tampa Graduate Theses and Dissertations

The optical design of a LED illuminator and camera imaging system were studied for potential use in a small medical "robotic type" probe to be used for minimally invasive abdominal surgery. Beam shaping optical reflectors were studied to increase the intensity distribution of the LED beam directed toward a close-by target surface. A CMOS/CCD camera and lens was used to image the targeted area. In addition, extensive optical ray tracing simulations were made to predict the intensity patterns. The experimental measurements and ray tracing simulations were in good agreement, and indicated that 20 degree cone reflectors for the LED sources …


Optimal Discrete-In-Time Inventory Control Of A Single Deteriorating Product With Partial Backlogging, Yang Tan Oct 2010

Optimal Discrete-In-Time Inventory Control Of A Single Deteriorating Product With Partial Backlogging, Yang Tan

USF Tampa Graduate Theses and Dissertations

The implicit assumption in conventional inventory models is that the stored

products maintain the same utility forever, i.e., they can be stored for an infinite period of

time without losing their value or characteristics. However, generally speaking, almost all

products experience some sort of deterioration over time. Some products have very small

deterioration rates, and henceforth the effect of such deterioration can be neglected.

Some products may be subject to significant rates of deterioration. Fruits, vegetables,

drugs, alcohol and radioactive materials are examples that can experience significant

deterioration during storage. Therefore the effect of deterioration must be explicitly taken

into …


Comparison Of Risky Decision Making Processes In Dyads And Individuals, Moumita Mukherjee Oct 2010

Comparison Of Risky Decision Making Processes In Dyads And Individuals, Moumita Mukherjee

USF Tampa Graduate Theses and Dissertations

The thesis compared the likelihood of taking risks in dyads and individuals in

varying situations. Patterns of risky decision making were examined in the standard risky

choice task and a novel risk management task. The relative successes of two theories of

risky decision making were assessed: Prospect Theory emphasizes perceptual and

psychophysical processes, whereas Security-Potential/Aspiration Level Theory

emphasizes dispositional and motivational processes. The thesis also examined dyads’

decision behavior in light of competing social influence perspectives regarding risky

versus cautious shifts and group polarization.

Participants, as individuals or as part of a dyad, made decisions in 23 trials about

hypothetical …


Finite Element Analysis Of Thermoelectric Systems With Applications In Self Assembly And Haptics, Patrick T. Mcknight Oct 2010

Finite Element Analysis Of Thermoelectric Systems With Applications In Self Assembly And Haptics, Patrick T. Mcknight

USF Tampa Graduate Theses and Dissertations

Micro-scale self assembly is an attractive method for manufacturing sub-millimeter sized thermoelectric device parts. Challenges controlling assembly yield rates, however, have caused research to find novel ways to implement the process while still resulting in a working device. While a typical system uses single n-type and p-type material elements in series, one method used to increase the probability of a working device involves adding redundant parallel elements in clusters. The drawback to this technique is that thermal performance is affected in clusters which have missing elements. While one-dimensional modeling sufficiently describes overall performance in terms of average junction temperatures and …


Mutual Elements And Substrate Effect Analysis On Patch Antenna Arrays, Matthew J. Wallace Oct 2010

Mutual Elements And Substrate Effect Analysis On Patch Antenna Arrays, Matthew J. Wallace

USF Tampa Graduate Theses and Dissertations

There have been many different technology advancements with the invention of solid state electronics, leading to the digital era which has changed the way users employ electronic circuits. Antennas are no different; however, they are still analog devices. With the advancements in technology, antennas are being fabricated on much higher frequencies and with greater bandwidths, all while trying to keep size and weight to a minimum. Centimeter and millimeter wave technologies have evolved for many different radio frequency (RF) applications. Microstrip patch antennas have been developed, as wire and tubular antenna elements are difficult to fabricate with the tolerances required …


Examination Of The Effect Of Child Abuse Case Characteristics On The Time A Caseworker Devotes To A Case, Christopher J. Card Oct 2010

Examination Of The Effect Of Child Abuse Case Characteristics On The Time A Caseworker Devotes To A Case, Christopher J. Card

USF Tampa Graduate Theses and Dissertations

This study used an explanatory research model that determined the effect on caseworker time and therefore workload caused by specific characteristics of cases assigned after the child abuse investigation is complete. The purpose of this study was to explain the relationship between child protection case characteristics and the time an assigned caseworker devotes to a case. With this knowledge an informed methodology to assess the current workload of a caseworker could be used to assure that the caseworker is able to successfully complete the tasks required for each child assigned. Further, the knowledge of the amount of time spent on …


Topics In Random Knots And R-Matrices From Frobenius Algebras, Enver Karadayi Oct 2010

Topics In Random Knots And R-Matrices From Frobenius Algebras, Enver Karadayi

USF Tampa Graduate Theses and Dissertations

In this dissertation, we study two areas of interest in knot theory: Random knots in the unit cube, and the Yang-Baxter solutions constructed from Frobenius algebras.

The study of random knots can be thought of as a model of DNA strings situated in confinement. A random knot with n vertices is a polygonal loop formed by selecting n distinct points in the unit cube, for a positive integer n, and connecting these points by straight line segments successively, such that the last point selected is joined with the first one. We present a step by step description of our algorithm …