Physical Sciences and Mathematics Commons^™

Quark Contribution To The Small-𝔁 Evolution Of Color Dipole, Ian Balitsky

Physics Faculty Publications

The small-𝔁 deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-𝔁 evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level—just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In addition, …

Characterization Of Stress Ulcer Model In Mice, Abeer Hamed Rubayea Hamed Aldhaheri

Theses

Stress ulcer is a common problem in critically ill patients. Recent statistics indicated that bleeding from stress ulcer is a common cause of death in patients admitted to intensive care units. Little is known about the cellular changes that occur in the gastric mucosa during stress ulcer formation. The aim of this study is to define the changes that occur in the mouse stomach during development of stress ulcer by using different microscopy techniques.

The cold-restraint mouse model of stress ulcer was used in this study. Mice of both sexes were restrained and maintained in a cold (4°C) room for …

Epidemiology Of Hepatitis A In Al Ain: With Emphasis On Age-Related Seroprevalence, Salwa Saeed Al Shamisi

Theses

Hepatitis A (HAV) is common worldwide, but with falling sero-prevalence in residents of developed countries is an indication of improved food and water hygiene. It is well known that the sero-prevalence of hepatitis A are highly correlated with socioeconomic status. The main objective of this study was to have base line data on the age-related sero-prevalence of HAV in Al Ain district and the possible risk factors.

Blood and a questionnaire data were obtained from 280 UAE citizens' outpatients of Tawam Hospital and 333 expatriates' inhabitants of Al Ain city. The expatriate subjects were heterogeneous coming from 24 different countries. …

Modeling Of Invasive Exotic Plants Dynamics In Arid Region Using Remote Sensing And Gis: A Case Study Of Prosopis Juliflora In The Uae, Bassam Saeed Dohai

Theses

High resolution digital aerial photographs were used to rate the change and to evaluate the woody Prosopis juliflora dynamics in northern UAE, Filayah (untreated) and Khut (treated). A time series of three different dates: 1986, 1996, and 2005 were chosen. Onscreen digitizing of plant communities was conducted using interpretative elements such as shape, tone texture, shadow and final maps were produced with acceptable accuracy. A geodatabase was built for both sites containing layers representing different dates. Statistical analysis was performed to rate the changes of the following four spatial attributes: percent cover, patch density, patch size, and mean patch shape …

Effects Of Soil Solarization On Seed Viability Of Serious Weeds Of Crops In The Uae, Fatema Khalil Al-Hammadi

Theses

The efficacy of solarization in weed control under field conditions of the united Arabs Emirates (UAE} was evaluated by conducting field experiments in a farm near Al-Ain. The soil of the farm was artificially infested with seeds of the following weeds: Amaranthus viridus, A. hybridus, Cenchrus ciliaris, Chenopodium murale, Launea mucronata, Malva parviflora, Capsella bursa-pastoris, Echinochloa colona, Portulaca oleracea, and Melilotus indica. The soil was plowed, rotovated to provide a smooth surface and divided into 12 raised plots, 10 x 1 m each: seven were solarized and five non-solarized. Soils …

Assessment Of Natural And Anthropogenic Environmental Effects In The Costal Areas Between Abu Dhabi And Dubai – Application Of Remote Sensing, Sultan Mohamed A. Karrani

Theses

The present work represents an attempt to detect changes induced by both natural and anthropogenic activities to the coastal area extending between the cities of Abu Dhabi and Dubai, United Arab Emirates. This area is dominated by islands, bars, tidal channels and embayment regimes and flanked by coastal sabkhas that give way to the great sand dunes, which represent an extension of the Empty Quarter desert.

The area is also characterized by the existence of many aquatic systems such as coral reefs and the oolitic shoals around Abu Dhabi city. It was the site of many human activities in the …

Analytical Studies On Some Antiviral Drugs And Their Derivatives Using Nuclear Magnetic Resonance And Uv-Vis Spectrophotometry, Habiba Saleh Saif Alawi Jahri Al Yafei

Theses

Cyclodextrin chemistry involves non-covalent molecular interactions between the interacting species. The majority of these interactions are of the host-guest type. In the present work, UV-Vis spectrophotometry and ¹H-NMR studies were used to study the interaction between amantadine hydrochloride, acyclovir and their derivatives with β­cyclodextrin. Additionally, quantification of amantadine hydrochloride and acyclovir by ¹H-NMR spectroscopy were carried out.

This study is based on preparing amantadine hydrochloride and acyclovir derivatives. Anthraquinone-2-carboxylic acid and benzoyl chloride were used as derivatizing agents for amantadine hydrochloride and acyclovir, respectively. Derivatization procedure was based on nucleophilic displacement by an amino group (amantadine or acyclovir) …

Comparison Of Efficiency Of An Advanced Oxidation Process For Degrading Major Classes Of Dyes, Fatima Hasan Abdullah Ai-Hamedi

Theses

Synthetic dyes are a major part of our life. Products ranging from clothes to leather

Accessories to furniture all depend on extensive use of organic dyes.

There are numerous classes of these dyes. However, azo, anthraquinonoid,

Triarylmethane, diarylmethane, acridine, quinine, xanthane and nitro represent the major

Classes and are most commonly used dyes.

An unfortunate side effect of their widespread use is the fact that up to 12% of these dyes are

Wasted during the dyeing process, and that approximately 20% of this waste enters the environment (mostly in water supply). The effluents from these industries cause the water bodies …

The Potential For Biomass In Ireland., Sarah J. Corcoran

Theses

It is not an understatement to say that a global crisis is approaching and at an alarming pace. It is a widely accepted fact that within the next few years, a change is going to take place. The sources we currently rely on to power our economies are already in an alarmingly depleted state, there is a necessity to find a new source or sources of energy. In addition to this, the global consequences of our past actions on the environment are also coming to the front, with climate change and ozone depletion making international headlines on an almost daily …

Anaerobic Digestion: Decision Support Software, Marco Poliafico

Theses

Ireland has significant quantities of livestock; meat exportation is a vibrant sector of the economy. Environmental management of animal wastes has therefore become an important concern. On the other hand in the last decade, national and EU policy debate has highlighted the need to investigate alternative energy: in particular energy for transport.

This study investigates the quantities of animal wastes produced in Ireland and their potential treatment using Anaerobic Digestion technologies. In 2005 Ireland had over 8 millions animals (cattle and pigs) and the annual slaughter accounted for over 4.2 million of these creatures. These animals have been responsible for …

Assessment Of Marine And Coastal Pollution A Long The Eastern Coast, United Arab Emirates (Uae), Shaheera Ali Juma Ali Bahwan

Theses

The present study aims to quantifying and assessing the orgasmic and

Inorganic pollutants extents along eastern side of the United Arab

Emirates UAE offshore on the Gulf of Oman, which consist of Fujairah,

Khor Fakkan and Kalba. Rapid development and the highly usage of the

coastal region for industrial activities, sewage disposal and marine

transportation has led to obvious changes in sediments quality of the

marine environment. Twelve coastal sampling stations were selected to

cover the maximum area of the eastern side, three sampling stations were

selected from marine sediments and six sampling collected from spilled

oil near investigated area. …

Portable Emission Measurements Of Snowcoaches And Snowmobiles In Yellowstone National Park, Gary A. Bishop, Ryan Stadtmuller, Donald H. Stedman

Fuel Efficiency Automobile Test Publications

No abstract provided.

The Sheffer Group And The Riordan Group, Tian-Xiao He, Peter Shiue, Leetsch Hsu

Scholarship

We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the Sheffer group and the Riordan group. An equivalence of the Riordan array pair and generalized Stirling number pair is also presented. Finally, we discuss a higher dimensional extension of Riordan array pairs.

Symbolization Of Generating Functions; An Application Of The Mullin–Rota Theory Of Binomial Enumeration, Tian-Xiao He, Peter S, Leetsch Hsu

Scholarship

We have found that there are more than a dozen classical generating functions that could be suitably symbolized to yield various symbolic sum formulas by employing the Mullin–Rota theory of binomial enumeration. Various special formulas and identities involving well-known number sequences or polynomial sequences are presented as illustrative examples. The convergence of the symbolic summations is discussed.

Construction Of Biorthogonal B-Spline Type Wavelet Sequences With Certain Regularities, Tian-Xiao He

Scholarship

No abstract provided.

Two Number-Theoretic Problems That Illustrate The Power And Limitations Of Randomness, Andrew Shallue

Scholarship

This thesis contains work on two problems in algorithmic number theory. The first problem is to give an algorithm that constructs a rational point on an elliptic curve over a finite field. A fast and easy randomized algorithm has existed for some time. We prove that in the case where the finite field has characteristic 2, there is a deterministic algorithm with the same asymptotic running time as the existing randomized algorithm.

An Approach To Unification Using A Linear Systems Model For The Propagation Of Broad-Band Signals, Jonathan Blackledge

Articles

We review the inhomogeneous scalar Helmholtz equation in three-dimensions and the scattering of scalar wavefields from a scatterer of compact support. An asymptotic solution is then considered representing the effect of the frequency approaching zero when a ‘wavefield’ reduces to a ‘field’. The characteristics of ultra-low frequency Helmholtz scattering are then considered and the physical significance discussed of a model that is based on the scattering of Helmholtz wavefields over a broad frequency spectrum. This is equivalent to using a linear systems approach for modelling the propagation, interaction and detection of broad-band signals and provides an approach to the classification …

Diffusion And Fractional Diffusion Based Models For Multiple Light Scattering And Image Analysis, Jonathan Blackledge

Articles

This paper considers a fractional light diffusion model as an approach to characterizing the case when intermediate scattering processes are present, i.e. the scattering regime is neither strong nor weak. In order to introduce the basis for this approach, we revisit the elements of formal scattering theory and the classical diffusion problem in terms of solutions to the inhomogeneous wave and diffusion equations respectively. We then address the significance of these equations in terms of a random walk model for multiple scattering. This leads to the proposition of a fractional diffusion equation for modelling intermediate strength scattering that is based …

Hologram-Based Humidity Indicator For Domestic And Packaging Applications, Izabela Naydenova, Raghavendra Jallapuram, Vincent Toal, Suzanne Martin

Conference Papers

A passive indicator for Relative Humidity based on a photopolymer recorded hologram has been developed. The indicator works on the principle that the wavelength reconstructed by a reflection hologram is dependent on the spacing between the fringe planes of the hologram. As the Relative Humidity changes, the hologram swells or shrinks and the apparent colour of the reconstructed image changes. The response time, operational range and reversibility of the indicator have been studied in a controlled humidity environment. Response times from less than a minute to tens of minutes depending on the holograms physical properties have been measured. Indicators with …

Torsion-Free Groups And Modules With The Involution Property, Brendan Goldsmith, C. Meehan, S.L. Wallutis

Articles

An Abelian group or module is said to have the involution property if every endomorphism is the sum of two automorphisms, one of which is an involution. We investigate this property for completely decomposable torsion-free Abelian groups and modules over the ring of -adic integers.

Use Of The Mitsunobu Reaction In The Synthesis Of Orthogonally Protected A,B-Diaminopropionic Acids, Fintan Kelleher, Keith Ó Proinsias

Articles

Orthogonally protected a,b-diaminopropionic acids have been synthesised in good yields by the reaction of N-trityl L-serine esters with N-substituted sulfonamides under Mitsunobu reaction conditions (DEAD, PPh₃, THF). The best isolated yields were obtained when N-Boc p-toluenesulfonamide was used as the nitrogen nucleophile precursor in the Mitsunobu reaction. Subsequently, the N-trityl group was efficiently replaced with the more stable allyloxycarbonyl (alloc) group.

A Novel Processing Route For The Production Of Nanoparticulate Zinc Oxide Using An Isophthalate Precursor, Grainne Duffy, Declan Mccormack, Suresh Pillai

Articles

Zinc oxide nanoparticles have been processed from a novel isophthalate precursor. In contrast to those processed from an oxalate precursor, this material exhibits three-dimensional, non-directional aggregation behaviour.

Such non-directional aggregation of uniaxial crystallites may allow for the production of structures with a higher proportion of catalytically active surfaces than can be prepared through conventional sol–gel methods. XRD,

FTIR, TEM and SEM were used to characterize the synthesized materials.

Zinc oxide particles synthesized by using isophthalic acid (C6H4-1,3-(COOH)2) are found to be slightly smaller than the previously reported materials prepared through chelation with oxalic acid (H2C2O2・2H2O).

Good Things Come In Small Packages: Tiny Plankton Producing Oxygen Near Dead Zone, Abbie Basile

Libraries Faculty & Staff Publications

(First paragraph) For many, the words “Lake Erie” bring to mind large things: big sport fish, sprawling waterfront homes, and an enormous body of water bordering four states and two countries. Similarly, much of the Lake Erie research of which the public is aware deals with larger biological organisms—larger algae and zooplankton, the small fish that eat the zooplankton, and the large fish that feed on those smaller fish. Over the years, the smaller lake life have been somewhat overlooked.

Closure Under Transfinite Extensions, Edgar Enochs, Alina Iacob, Overtoun Jenda

Mathematical Sciences: Faculty Publications

The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example, in Quillen's theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions.

On Energy And Expected Uncertainty Measures In Weighted Distributions, Broderick O. Oluyede, Mekki Terbeche

Mathematical Sciences: Faculty Publications

In this note, bounds and inequalities for the comparisons of weighted energy functions, entropy, and discrimination information measures and their unweighted counterparts are presented. Inequalities for weighted expected uncertainty, cross-entropy or discrimination information measures are also presented. A useful result on the convergence of the weighted kernel density informational energy estimates is given and some informational energy applications presented.

A Note On Relations For Reliability Measures In Zero-Adjusted Models, Broderick O. Oluyede, Mavis Pararai

Mathematical Sciences: Faculty Publications

In this note we examine and study relations in zero-adjusted models. Relations for reliability measures in the adjusted and unadjusted models are established and appropriate comparisons including the relative error are presented. The relative error is shown to be a decreasing function of the counts. Some inequalities and comparisons for weighted zero-adjusted models are established.

Proceedings Of The First Annual Meeting Of The Georgia Association Of Mathematics Teacher Educators Front Matter

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

Contents of 1st Annual GAMTE Proceedings Front Matter:

• Proceedings Committee
• Officers of GAMTE
• Purposes and Goals of GAMTE
• Table of Contents
• Abstracts of Papers

Preservice Teachers’ Mapping Structures Acting On Representational Quantities, Gunhan Caglayan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

In this article, I write about my research on five preservice secondary teachers’ (PST) understanding and sense making of representational quantities associated with magnetic color cubes and tiles. Data came from individual interviews during which I asked PST problems guided by five main tasks: prime and composite numbers, summation of counting numbers, odd numbers, even numbers, and polynomial expressions in x and y. My work drew upon an analysis framework (Behr et. al, 1994) supported by a unit coordination construct (Steffe, 1988) associated with linear and areal quantities inherent in the nature of figures produced by these PST. Linear quantities …

The Mathematical Preparation Of Secondary School Teachers, Kelly W. Edenfield

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

In the summer of 2007, a group of doctoral students at the University of Georgia gathered to discuss the mathematical preparation of secondary teachers. The group used Mathematics for High School Teachers: An Advanced Perspective by Usiskin, Peressini, Marchisotto, and Stanley (2003) as the catalyst for the discussion. Participants agreed that future teachers need opportunities to examine high school and college mathematics differently from the way they had as students, with specific emphasis on connections, representations, and history. Features of this text that were highlighted in the discussions were the attention topics with commonly held misconceptions, the historical rationales and …

Using Technology To Design Teaching Modules In Mathematics And Science, Ollie I. Manley

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

Technology is changing the way in which mathematics and science are taught, and this radical transformation in teaching is causing teachers to take a closer look at how lessons are designed. In an effort to demonstrate how to design instructional modules using technology, this paper will include the following: 1)A review of the National Educational Technology Standards for teachers to establish a framework for the development of the teaching modules; 2)instructional designs and techniques with special emphasis on multiple intelligence and critical thinking skills; 3) strategies and techniques for infusing technology into a standard based curriculum; and 4) an analysis …