The Progression Of Sequential Reactions, 2010 University of South Florida

#### The Progression Of Sequential Reactions, Jack Mcgeachy

*Undergraduate Journal of Mathematical Modeling: One + Two*

Sequential reactions consist of linked reactions in which the product of the first reaction becomes the substrate of a second reaction. Sequential reactions occur in industrially important processes, such as the chlorination of methane. A generalized series of three sequential reactions was analyzed in order to determine the times at which each chemical species reaches its maximum. To determine the concentration of each species as a function of time, the differential rate laws for each species were solved. The solution of each gave the concentration curve of the chemical species. The concentration curves of species A_{1} and A_{2 ...}

Quantum Mechanical Example Of Anti-Tunneling, 2010 University of South Florida

#### Quantum Mechanical Example Of Anti-Tunneling, Tim Mitchell

*Undergraduate Journal of Mathematical Modeling: One + Two*

The probability of a particle being reflected by a semi-infinite energy barrier was solved using Schrödinger's equations that describe the quantum mechanical behavior of the particle. The continuity of the functions at the origin allowed the wave functions and their respective derivatives to be equated. Solution of the resulting system yielded values A_{1} and B_{1} which were used to calculate the reflection coefficient, (B_{1}/A_{1})^{2}. The conclusions obtained from these results stated that the particle would be reflected by the barrier when E

Optimization Of A Chemical Reaction Train, 2010 University of South Florida

#### Optimization Of A Chemical Reaction Train, Bahar Sansar

*Undergraduate Journal of Mathematical Modeling: One + Two*

This project consists of the optimization of a chemical reactor train. The reactor considered here is the continuous stirred tank reactor (CSTR), one of the reactor models used in engineering. Given the design equation for the CSTR and the cost function for a reactor, the following values are determined; the optimum number of reactors in the reaction train, the volume of each reactor and the total cost.

Power Consumption Of A Mosfet, 2010 University of South Florida

#### Power Consumption Of A Mosfet, Frederick Selkey

*Undergraduate Journal of Mathematical Modeling: One + Two*

A MOSFET is defined as metal oxide semiconductor field effect transistor. These electrical components are combined or integrated to form control and logic functions for laptop and desktop computers, power controls in printing devices, motor controls and are used in many other electrical circuits. All electrical devices consume electrical power based on current and voltage. For this paper we calculated the power consumption of a Toshiba 2SK3563 MOSFET during its triode mode by finding the area under the current-voltage characteristic curve.

Brazilian Pepper's Impact On Barrier Island Biodiversity, 2010 University of South Florida

#### Brazilian Pepper's Impact On Barrier Island Biodiversity, Grayson Mccormick

*Undergraduate Journal of Mathematical Modeling: One + Two*

The Brazilian pepper is an invasive plant responsible for destruction of habitats of species native to Florida. We attempted to measure the impact of the Brazilian pepper on native plants by studying how it affects the biodiversity of Honeymoon Island, one of Florida's barrier islands. For this purpose we determined the population sizes of the Brazilian pepper along with five other species of plants on two quadrats of land laid out in Honeymoon Island State Park. Both Simpson's Index of Diversity and Shannon-Wiener Index were used to estimate the biodiversity and assess the impact of the Brazilian pepper ...

Dosimetry Calculations Of Radiopharmaceuticals, 2010 University of South Florida

#### Dosimetry Calculations Of Radiopharmaceuticals, Kelbe Jahnke

*Undergraduate Journal of Mathematical Modeling: One + Two*

The goal of this project is to determine the absorbed dose of radiation to a patient using ^{99m}Tc-MAA as a tracer for a lung scan using the MIRD formula accounting only for the radiation dose contributed by the target organ. The radiation dose for other organs to the target organ is considered negligible as the uptake of ^{99m}Tc-MAA from other organs is less than 1%. In addition to calculating the absorbed dose of radiation, the initial dose rate was also calculated by back solving to determine the total mass of the lungs. The radiation dose to the patient ...

Light Attenuation At Molasses Reef, 2010 University of South Florida

#### Light Attenuation At Molasses Reef, Ashley Earls

*Undergraduate Journal of Mathematical Modeling: One + Two*

Estimating the amount of light available at different depths of the ocean is important for gaining a better understanding of coral reefs. It is especially useful to be able to get such estimates without having to perform direct measurements. Although accurate, the direct measurements are costly, time consuming, and usually limited to relatively small areas of interest.

One statistic that could be useful for estimating the amount of available light is the rate at which it declines with depth (the rate of light attenuation). In this project, this rate is calculated for four different wavelengths using data for 30m water ...

Motion Of A Pendulum, 2010 University of South Florida

#### Motion Of A Pendulum, Jared Wynn

*Undergraduate Journal of Mathematical Modeling: One + Two*

The objective of this project is to derive and solve the equation of motion for a pendulum swinging at small angles in one dimension. The pendulum may be either a simple pendulum like a ball hanging from a string or a physical pendulum like a pendulum on a clock. For simplicity, we only considered small rotational angles so that the equation of motion becomes a harmonic oscillator.

Maximum Power From A Solar Panel, 2010 University of South Florida

#### Maximum Power From A Solar Panel, Michael Miller

*Undergraduate Journal of Mathematical Modeling: One + Two*

Solar energy has become a promising alternative to conventional fossil fuel sources. Solar panels are used to collect solar radiation and convert it into electricity. One of the techniques used to maximize the effectiveness of this energy alternative is to maximize the power output of the solar collector. In this project the maximum power is calculated by determining the voltage and the current of maximum power. These quantities are determined by finding the maximum value for the equation for power using differentiation. After the maximum values are found for each time of day, each individual quantity, voltage of maximum power ...

Radiographic Imagery Of A Variable Density 3d Object, 2010 University of South Florida

#### Radiographic Imagery Of A Variable Density 3d Object, Justin Stottlemyer

*Undergraduate Journal of Mathematical Modeling: One + Two*

The purpose of this project is to develop a mathematical model to study 4D (three spatial dimensions plus density) shapes using 3D projections. In the model, the projection is represented as a function that can be applied to data produced by a radiation detector. The projection is visualized as a three-dimensional graph where x and y coordinates represent position and the z coordinate corresponds to the object's density and thickness. Contour plots of such 3D graphs can be used to construct traditional 2D radiographic images.

Calculating Optimal Inventory Size, 2010 University of South Florida

#### Calculating Optimal Inventory Size, Ruby Perez

*Undergraduate Journal of Mathematical Modeling: One + Two*

The purpose of the project is to find the optimal value for the Economic Order Quantity Model and then use a lean manufacturing Kanban equation to find a numeric value that will minimize the total cost and the inventory size.

Analysis Of Xbrl Literature: A Decade Of Progress And Puzzle, 2010 Bryant University

#### Analysis Of Xbrl Literature: A Decade Of Progress And Puzzle, Saeed Roohani, Zhao Xianming, Ernest Capozzoli, Barbara Lamberton

*Faculty Publications*

XBRL (eXtensible Business Reporting language) was recently, in 2008, in its 10th year. The concept was articulated in 1998 by Charles Hoffman, known as XFRML (eXtensible Financial Reporting Mark Up Language) to facilitate the business reporting process and improve financial reporting. The objective of this paper is to examine a decade (1998-2008) of XBRL articles published in various publications including trade, practitioner and academic journals to identify trends and patterns, milestones, and organizations actively contributed to this development. Another goal is to assess public perceptions of XBRL, its capabilities and its future. We examined published articles where XBRL appeared either ...

Book Review: Digital Forensic Evidence Examination, 2010 Gary Kessler Associates

#### Book Review: Digital Forensic Evidence Examination, Gary C. Kessler

*Publications*

This document is Dr. Kessler's review of the second edition of *Digital Forensic Evidence Examination* by Fred Cohen. ASP Press, 2010. ISBN: 978-1-878109-45-3

Validation Of Tool Mark Comparisons Obtained Using A Quantitative, Comparative, Statistical Algorithm, 2010 Iowa State University

#### Validation Of Tool Mark Comparisons Obtained Using A Quantitative, Comparative, Statistical Algorithm, L. Scott Chumbley, Max D. Morris, M. James Kreiser, Charles Fisher, Jeremy Craft, Lawrence Genalo, Stephen Davis, David Faden, Julie Kidd

*Ames Laboratory Publications*

A statistical analysis and computational algorithm for comparing pairs of tool marks via profilometry data is described. Empirical validation of the method is established through experiments based on tool marks made at selected fixed angles from 50 sequentially manufactured screwdriver tips. Results obtained from three different comparison scenarios are presented and are in agreement with experiential knowledge possessed by practicing examiners. Further comparisons between scores produced by the algorithm and visual assessments of the same tool mark pairs by professional tool mark examiners in a blind study in general show good agreement between the algorithm and human experts. In specific ...

Zero Field Magnetic Phase Transitions And Anomalous Low Temperature Upturn In Resistivity Of Single Crystalline Α-Tmalb4, 2010 Gwangju Institute of Science and Technology

#### Zero Field Magnetic Phase Transitions And Anomalous Low Temperature Upturn In Resistivity Of Single Crystalline Α-Tmalb4, N. H. Sung, Andreas Kreyssig, H. Kim, Makariy A. Tanatar, J. S. Rhyee, B. Y. Kang, M. G. Kim, J. Y. Kim, Paul C. Canfield, Ruslan Prozorov, Alan I. Goldman, B. K. Cho

*Ames Laboratory Publications*

In this study, pure α-TmAlB4 (YCrB4structure)single crystals were grown with no β-TmAlB4 (ThMoB4structure) intergrowth, and zero magnetic fieldtransitions were confirmed through specific heat capacity, magnetization, and electric resistivity measurements. The anomalous magnetic transition was found at approximately 6.2 K with long range antiferromagnetictransition at 5.6 K. The difference in field dependence between these two transitions indicates that they do not share a common magnetic origin. In addition, we investigated electrical resistivity down to 20 mK, and found upturn behavior at around 0.8 K. The low temperature upturn anomaly in resistivity was not found for other compounds ...

United States Land Cover Land Use Change, Albedo And Radiative Forcing: Past And Potential Climate Implications, 2010 South Dakota State University

#### United States Land Cover Land Use Change, Albedo And Radiative Forcing: Past And Potential Climate Implications, Christopher A. Barnes

*Electronic Theses and Dissertations*

Land Cover Land Use (LCLU) change affects Earth surface properties including albedo that impose a radiative forcing on the climate. Recent spatially explicit satellite derived contemporary LCLU, albedo, and projected LCLU data are used to study the impact of LCLU change from 1973 to 2000, and from 2000 to 2050, on albedo and surface radiative forcing for the conterminous United States. Four research hypotheses concerned with past and potential future climate implications of LCLU change are addressed. The research described in this dissertation makes an important contribution to advancing understanding of the role of LCLU change on the climate system ...

Financial Mathematics: Options, Arbitrage, And The Black-Scholes Pde, 2010 University of Redlands

#### Financial Mathematics: Options, Arbitrage, And The Black-Scholes Pde, Heather Engstrom

*Undergraduate Honors Theses*

This paper aims to derive and solve the Black-Scholes partial differential equation (PDE) used to price options. Options allow investors the possibility for great gain with small probability for a large loss. Thus, they can be very valuable if money is invested correctly. Brownian motion can be used to model the change in stock prices and is the jumping off point for the derivation of the Black-Scholes PDE. The derivation of the PDE and its solution using the method of Fourier transforms will be shown. An application of the pricing formula using actual stock values will also be given.

Hyperbolic Geometry: A Guide To Models And Motion, 2010 University of Redlands

#### Hyperbolic Geometry: A Guide To Models And Motion, Danielle J. Strieby

*Undergraduate Honors Theses*

Twentieth century mathematics can be characterized by the study of functions. The most interesting functions are those that preserve the structure at hand. In many branches of mathematics transformations are looked at and classified. In geometry, transformations of a plane are very important. A transformation that distance is called an isometry. The classification of isometries is known in Euclidean geometry, and one will learn about each of them in any geometry course. Classification of isometries for the hyperbolic plane are not as well known, but they have been classified. In this paper we will discover hyperbolic geometry, investigate some of ...

Moesin1 And Ve-Cadherin Are Required In Endothelial Cells During In Vivo Tubulogenesis, 2010 Iowa State University

#### Moesin1 And Ve-Cadherin Are Required In Endothelial Cells During In Vivo Tubulogenesis, Ying Wang, Mark S. Kaiser, Jon D. Larson, Aidas Nasevicius, Karl J. Clark, Shannon A. Wadman, Sharon E. Roberg-Perez, Stephen C. Ekker, Perry B. Hackett, Maura Mcgrail, Jeffrey J. Essner

*Genetics, Development and Cell Biology Publications*

Endothelial tubulogenesis is a crucial step in the formation of functional blood vessels during angiogenesis and vasculogenesis. Here, we use in vivo imaging of living zebrafish embryos expressing fluorescent fusion proteins of β-Actin, α-Catenin, and the ERM family member Moesin1 (Moesin a), to define a novel cord hollowing process that occurs during the initial stages of tubulogenesis in intersegmental vessels (ISVs) in the embryo. We show that the primary lumen elongates along cell junctions between at least two endothelial cells during embryonic angiogenesis. Moesin1-EGFP is enriched around structures that resemble intracellular vacuoles, which fuse with the luminal membrane during expansion ...

Database Security: What Students Need To Know, 2010 Kennesaw State University

#### Database Security: What Students Need To Know, Meg C. Murray

*Faculty Publications*

Database security is a growing concern evidenced by an increase in the number of reported incidents of loss of or unauthorized exposure to sensitive data. As the amount of data collected, retained and shared electronically expands, so does the need to understand database security. The Defense Information Systems Agency of the US Department of Defense (2004), in its *Database Security Technical Implementation Guide*, states that database security should provide controlled, protected access to the contents of a database as well as preserve the integrity, consistency, and overall quality of the data. Students in the computing disciplines must develop an understanding ...