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EΠi + 1=0: The History & Development, Dawne Charters-Nelson 2010 Bridgewater State University

EΠi + 1=0: The History & Development, Dawne Charters-Nelson

Undergraduate Review

I have on occasion run across the equation in books, articles and in conversation with other mathematicians. In each of these encounters the person alluded to a fascination with this equation which links the five most important constants in the whole of analysis:

  • 0 = The additive identity
  • 1 = The multiplicative identity
  • π = The circular constant
  • e = The base of the natural logarithms
  • i = The imaginary unit

Being a novice mathematician, I wondered how all these fundamental constants could end up in one equation and what it meant. Along with this thought came the realization that …


The Efficacy Of Chemistry Outreach Programs On Middle School Students, Erica M. Dumeyer 2010 Western Kentucky University

The Efficacy Of Chemistry Outreach Programs On Middle School Students, Erica M. Dumeyer

Mahurin Honors College Capstone Experience/Thesis Projects

The current project was designed to determine if science outreach programs affect the attitude of the students toward science and increase the science content knowledge of the students participating in the program. Students from middle schools surrounding the Bowling Green area participated in the project. The data set includes a total of 850 students from 7th and 8th grade. Students were given a pre-test (taken several days before the presentation) and a post-test (taken several days after the presentation). The tests contain both subjective, affective as well as objective, content questions. The individual student pre-/post-tests were index numbered to protect …


Voluntary Exercise In Phosphorylase Kinase Deficient Mice, Ashley M. Mefford 2010 Western Kentucky University

Voluntary Exercise In Phosphorylase Kinase Deficient Mice, Ashley M. Mefford

Mahurin Honors College Capstone Experience/Thesis Projects

Phosphorylase kinase (PhK), a key regulator of glycogenolysis, is critical for maintaining blood glucose levels thus providing energy to sustain muscle contraction. A deficiency of PhK in skeletal muscle is the cause of one type of glycogen storage disease (GSD) in humans. This study investigates the physiological and genetic adaptations that occur in a mouse model of GSD, I/LnJ mice, in response to voluntary exercise. Juvenile (6-8 weeks old) and adult (12-14 weeks old) I/LnJ and wild-type C57/Bl6 mice exercised voluntarily for 1, 2 or 5 weeks. Exercise data was calculated as mean daily running time, daily running distance, total …


Derivatives Of The Dedekind Zeta Function Attached To A Complex Quadratic Field Extention, Nathan Salazar 2010 Western Kentucky University

Derivatives Of The Dedekind Zeta Function Attached To A Complex Quadratic Field Extention, Nathan Salazar

Mahurin Honors College Capstone Experience/Thesis Projects

The Riemann Zeta Function is a function of vital importance in the study of number theory and other branches of mathematics. This is primarily due to its intrinsic link with the prime numbers of the ring of integers. The value of the Riemann Zeta Function at 0 and the values of the first few derivatives at 0 have been determined by various mathematicians. Apostol obtained a closed expression for the nth derivative of the Riemann Zeta Function at 0 that generalized previously known results. For higher derivatives, his result is useful for numerical computations. The Dedekind Zeta Function is a …


A Comparative Analysis Of The Electronic And Structural Characteristics Of Polyphenolic Inhibitors Of Pai-1, Patrick Spoutz 2010 Eastern Michigan University

A Comparative Analysis Of The Electronic And Structural Characteristics Of Polyphenolic Inhibitors Of Pai-1, Patrick Spoutz

Senior Honors Theses and Projects

Polyphenolic compounds containing two gallate groups have been shown to be effective inhibitors of Plasminogen Activator Inhibitor-1 (PAI-1). In this work we use Density Functional calculations to examine energetically-accessible configurations of two digallate compounds exhibiting disparate inhibitory activity toward PAI-1. In addition, we examine the partial charges of potentially acidic protons and the relative stability of the respective conjugate bases of a select group of PAI-1 inhibitors. This analysis was carried out to determine whether such characteristics can be used to distinguish between effective and less effective inhibitors. An examination of the stable configurations of CDE-008 and CDE-056 indicates that …


Lithium- And Oxygen- Isotope Profiles Of A Mid-Atlantic Ridge Oceanic Core Complex: The Atlantis Massif, 30°N, Ellen J. Crapster-Pregont 2010 Colby College

Lithium- And Oxygen- Isotope Profiles Of A Mid-Atlantic Ridge Oceanic Core Complex: The Atlantis Massif, 30°N, Ellen J. Crapster-Pregont

Honors Theses

Oxygen (O) and lithium (Li) are fluid-mobile elements used as geochemical tracers of a crustal component in the mantle. The isotopes of each element fractionate according to the degree and temperature of hydrothermal alteration. Previous studies demonstrate that Li and O isotopic trends are coupled within the upper crust near mid-ocean ridges but are decoupled in subduction-related volcanism. To better understand the average crustal signature of these systems, it is necessary to characterize these systems in the presently poorly understood lower oceanic crust. This study uses lower crustal samples from IODP Expedition 305 Hole U1309D exhumed at the Atlantis Massif, …


Solar Observations During A Solar Minimum Using A Small Radio Telescope, Gary Forrester 2010 Bridgewater State University

Solar Observations During A Solar Minimum Using A Small Radio Telescope, Gary Forrester

Undergraduate Review

The Sun is currently in a quiescent phase called solar minimum. We used Bridgewater State College’s (B.S.C.’s) Small Radio Telescope (SRT) to observe solar radio emission during this quiet phase and correlated our data to solar X-ray data readily available through the National Oceanic and Atmospheric Administration (NOAA). Previous observations made during a period of high solar activity (solar maximum) using one of M.I.T.’s SRTs showed that some solar radio and X-ray events were correlated, while others were not. We made observations during solar minimum and found one event where there was a correlation between radio and X-ray emission.


Regional Vs. Local Impact Of Wind On Glaciers In The Andes Mountains, Derek Ferris 2010 Bridgewater State University

Regional Vs. Local Impact Of Wind On Glaciers In The Andes Mountains, Derek Ferris

Undergraduate Review

Northern Peru will face critical water resource issues in the near future as permanent ice in the Andes Mountains continues to rapidly melt. Ironically, the melt-water from these glaciers supports the culture of 100s of thousands of people living at lower elevations, particularly during the dry season, and predictions suggest some glaciers may be gone in less than 100 years. The impact of local warming of “U” shaped valleys running down the dryer western slope of the Andes range is largely disregarded in current climate model predictions because of the complexity of simulating the complex topography. Studies that compare the …


A Two-Dimensional, Linear–Elastic Model To Explain Radial Extensional Fractures, Pantheon Fossae, Caloris Basin, Mercury, Brianne McDonough 2010 Bridgewater State University

A Two-Dimensional, Linear–Elastic Model To Explain Radial Extensional Fractures, Pantheon Fossae, Caloris Basin, Mercury, Brianne Mcdonough

Undergraduate Review

In this study, two-dimensional linear elasticity theory is used to model the lithospheric stress field that produces radial extensional fractures observed at Pantheon Fossae in the Caloris Basin of Mercury. These fractures were imaged by the MESSENGER mission flyby of Mercury on January 14, 2008 and show radial fractures extending outward from a 40-kilometer impact crater named Apollodorus. Recent studies have proposed several different mechanisms to explain these fractures, including magmatic processes, central basin uplift, and stresses produced by the formation of the impact crater itself.


Quantification Of Short-Chain Fatty Acids In Cecal Material By Gas Chromatography-Mass Spectrometry, Charles Harrison 2010 Eastern Michigan University

Quantification Of Short-Chain Fatty Acids In Cecal Material By Gas Chromatography-Mass Spectrometry, Charles Harrison

Master's Theses and Doctoral Dissertations

Probiotic bacteria in the human colon that produce C2 – C4 short chain fatty acids (SCFA) and Lactobacillus species that produce lactate in addition to SCFAs are known to have positive health benefits. These organic acids were extracted with ether from murine cecal material (from Dr. Gary Huffnagle, Univ. of Mich.) and derivatized for quantitative measurement by gas chromatography-mass spectrometry. Antibiotic-treated animals gavaged with Candidaalbicans had a lower level of cecal butyrate relative to untreated animals, but a higher level of butyrate when treated mice were also administered Lactobacillus johnsonii NF-1. More recent studies have demonstrated a butyrate-lowering …


Influence Of The Reducing Agent Triphenylphosphine On Cyclooxygenase-1 Metabolism Of Arachidonic Acid, Rohini Sidhu 2010 Eastern Michigan University

Influence Of The Reducing Agent Triphenylphosphine On Cyclooxygenase-1 Metabolism Of Arachidonic Acid, Rohini Sidhu

Master's Theses and Doctoral Dissertations

Cyclooxygenase (COX) metabolizes the polyunsaturated fatty acid arachidonic acid (AA) to PGG2, a cyclic endoperoxide that also contains a hydroperoxide, which is subsequently reduced to an alcohol in the enzyme to yield PGH2. Reactions catalyzed by COX-1 are significantly influenced by lipid hydroperoxides. The tyrosyl radical that abstracts the 13 pro(s) hydrogen from AA to initiate the COX catalytic cycle is generated by iron-oxo derivatives in the enzyme that result from lipid hydroperoxide interaction with heme iron. Commercial preparations of arachidonic acid (AA) contain lipid hydroperoxides that can be separated from AA by thin layer chromatography and readily reduced to …


How Does The University Of Northern Iowa's Recycling Program Compare To The Recycling Programs Of Its Peer Institutions?, Anna J. Schrad 2010 University of Northern Iowa

How Does The University Of Northern Iowa's Recycling Program Compare To The Recycling Programs Of Its Peer Institutions?, Anna J. Schrad

Honors Program Theses

In recent years, the concept of sustainability has become mainstream and has begun to be incorporated into the decisions that businesses, organizations, and institutions make. With over 12,000 students, the University of Northern Iowa (UNI) has great potential to generate large quantities of recyclables (Kaplan & von Kolnitz, 2004). By expanding its recycling program, UNI can increase its appeal to prospective students while gaining economic benefits in addition to protecting the environment. Waste managers at 8 of UNI’s peer institutions (Appendix B) were interviewed to determine how UNI’s recycling and waste diversion efforts compared to similar schools for a variety …


Multifunctional Polymer Synthesis And Incorporation Of Gadolinium Compounds And Modified Tungsten Nanoparticles For Improvement Of Radiation Shielding For Use In Outer Space, Emily Grace Harbert 2010 College of William & Mary - Arts & Sciences

Multifunctional Polymer Synthesis And Incorporation Of Gadolinium Compounds And Modified Tungsten Nanoparticles For Improvement Of Radiation Shielding For Use In Outer Space, Emily Grace Harbert

Dissertations, Theses, and Masters Projects

No abstract provided.


Accelerated Lattice Boltzmann Method For Colloidal Suspensions Rheology And Interface Morphology, Hassan Farhat 2010 Wayne State University

Accelerated Lattice Boltzmann Method For Colloidal Suspensions Rheology And Interface Morphology, Hassan Farhat

Wayne State University Dissertations

ABSTRACT

ACCELERATED LATTICE BOLTZMANN MODEL FOR COLLOIDAL SUSPENSIONS RHEOLOGY AND INTERFACE MORPHOLOGY

by

HASSAN FARHAT

July 2010

Advisor: Dr. Singh Trilochan

Co-Advisor: Dr. Joon Sang Lee

Major: Mechanical Engineering

Degree: Doctor of Philosophy

Colloids are ubiquitous in the food, medical, cosmetic, polymer, water purification and pharmaceutical industries. Colloids thermal, mechanical and storage properties are highly dependent on their interface morphology and their rheological behavior.

Numerical methods provide a cheap and reliable virtual laboratory for the study of colloids. However efficiency is a major concern to address when using numerical methods for practical applications.

This work introduces the main building-blocks for …


Scientific Workflow Integration For Services Computing, Cui Lin 2010 Wayne State University

Scientific Workflow Integration For Services Computing, Cui Lin

Wayne State University Dissertations

In recent years, significant scientific advances are increasingly achieved through complex scientific processes. As the exponential growth in computing technologies and scientific data, a scientific workflow may comprise a large number of heterogeneous scientific services and applications, provided by different organizations. These services, applications, and their associated data are usually distributed across heterogeneous computing environments. The integration and management of such scientific workflows are pushing the limits of current workflow technology. This dissertation presents an integrated solution to composing, scheduling, executing and developing scientific workflows and scientific workflow management systems.

To provide a foundation for workflow composition, scheduling, execution and …


Localized Feature Selection For Unsupervised Learning, Yuanhong Li 2010 Wayne State University

Localized Feature Selection For Unsupervised Learning, Yuanhong Li

Wayne State University Dissertations

Clustering is the unsupervised classification of data objects into different groups (clusters) such that objects in one group are similar together and dissimilar from another group. Feature selection for unsupervised learning is a technique that chooses the best feature subset for clustering. In general, unsupervised feature selection algorithms conduct feature selection in a global sense by producing a common feature subset for all the clusters. This, however, can be invalid in clustering practice, where the local intrinsic property of data matters more, which implies that localized feature selection is more desirable.

In this dissertation, we focus on cluster-wise feature selection …


Dechalcogenative Allylic Selenosulfide And Disulfide Rearrangements For Cysteine Modification And Glycoligation, Venkataraman Subramanian 2010 Wayne State University

Dechalcogenative Allylic Selenosulfide And Disulfide Rearrangements For Cysteine Modification And Glycoligation, Venkataraman Subramanian

Wayne State University Dissertations

This thesis describes investigations directed at the development of methods for the selenosulfide and disulfide rearrangements for the permanent functionalization of thiols, and in particular of cysteine and carbohydrate based thiols. Emphasis is placed on the newly invented silver mediated allylic desulfurative rearrangement for the primary modification of thiols and the synthesis of complex oligosaccharide mimics.

Chapter one introduces the concept of chemoselective ligations for the modification of macromolecules like carbohydrates and proteins. It overviews the native and non-native ligation techniques for their modification of such entities with a attention focusing on thiol based ligation techniques. The later part of …


Harmonic Sputtering Theory, Zhu Lin Zhang 2010 Wayne State University

Harmonic Sputtering Theory, Zhu Lin Zhang

Wayne State University Dissertations

ABSTRACT

HARMONIC SPUTTERING THEORY

By

ZHU LIN ZHANG

February 2010

Advisor: Dr. Karur R. Padmanabhan

Major: Physics

Degree: Doctor of Philosophy

Based on the standard Botzmann equation in Classical Statistics Mechanics, we have derived a variety of Linear Transport Equations appeared in Sputtering Theory for a random, infinite multi-components medium. The pertinent relations among these Linear Transport Equations have been studied in detail. We have introduced exact classical scattering cross-sections of power potential interaction collision into these Transport Equations and solved them asymptotically by using Laplace Transformation for both isotropic term and anisotropic term. A pool of analytical asymptotic solutions …


Photodissociation Dynamics In Titan's Atmosphere, Welvidanalage Ruchira Silva 2010 Wayne State University

Photodissociation Dynamics In Titan's Atmosphere, Welvidanalage Ruchira Silva

Wayne State University Dissertations

Photodissociation dynamics of molecules relevant to understanding Titan's atmosphere (diacetylene, cyanoacetylene and heptane isomers) are carried out under collisionless condition using the DC slice imaging technique. In diacetylene photodissociation, two-photon processes dominate at 243 nm and 212 nm whereas at 121.6 nm, a one-photon dissociation process dominates. Direct measurement of the lifetime of metastable triplet diacetylene confirms sub-microsecond lifetimes. Photodissociation of cyanoacetylene at 193.3 nm proceeds on the S1 potential energy surface with an exit barrier. In heptane photodissociation, the dissociation occurs on the ground state or low-lying triplet states with nonradiative electronic relaxation. Time-of-flight mass spectroscopy studies in this …


Synthesis Of Functionalized Gpi Anchors And Related Glycoconjugates, Benjamin M. Swarts 2010 Wayne State University

Synthesis Of Functionalized Gpi Anchors And Related Glycoconjugates, Benjamin M. Swarts

Wayne State University Dissertations

This dissertation is divided into two chapters describing the background, significance, and synthesis of GPI anchors and GPI-anchored molecules. GPI anchors are a class of complex glycolipids with the primary purpose of attaching cell surface proteins/glycoproteins to the cell membrane. The first chapter is focused on the synthesis of functionalized GPI anchors, and begins with an introductory look at the discovery, structure, biosynthesis, and biological functions of GPIs. Then, after surveying progress and achievements in GPI synthesis, including discussion about current strategic shortcomings in the field that prevent the chemical synthesis of various GPI derivatives, our approach to accessing uniquely …


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