Matching Items (47)

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On the Admittance of Frames in Hilbert C*-Modules

Description

The theory of frames for Hilbert spaces has become foundational in the study of wavelet analysis and has far-reaching applications in signal and image-processing. Originally, frames were first introduced in the early 1950's within the context of nonharmonic Fourier analysis

The theory of frames for Hilbert spaces has become foundational in the study of wavelet analysis and has far-reaching applications in signal and image-processing. Originally, frames were first introduced in the early 1950's within the context of nonharmonic Fourier analysis by Duffin and Schaeffer. It was then in 2000, when M. Frank and D. R. Larson extended the concept of frames to the setting of Hilbert C*-modules, it was in that same paper where they asked for which C*-algebras does every Hilbert C*-module admit a frame. Since then there have been a few direct answers to this question, one being that every Hilbert A-module over a C*-algebra, A, that has faithful representation into the C*-algebra of compact operators admits a frame. Another direct answer by Hanfeng Li given in 2010, is that any C*-algebra, A, such that every Hilbert C*-module admits a frame is necessarily finite dimensional. In this thesis we give an overview of the general theory of frames for Hilbert C*-modules and results answering the frame admittance property. We begin by giving an overview of the existing classical theory of frames in Hilbert spaces as well as some of the preliminary theory of Hilbert C*-modules such as Morita equivalence and certain tensor product constructions of C*-algebras. We then show how some results of frames can be extended to the case of standard frames in countably generated Hilbert C*-modules over unital C*-algebras, namely the frame decomposition property and existence of the frame transform operator. We conclude by going through some proofs/constructions that answer the question of frame admittance for certain Hilbert C*-modules.

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2019-05

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Regression Analysis on Colony Collapse Disorder in the United States

Description

In the last decade, the population of honey bees across the globe has declined sharply leaving scientists and bee keepers to wonder why? Amongst all nations, the United States has seen some of the greatest declines in the last 10

In the last decade, the population of honey bees across the globe has declined sharply leaving scientists and bee keepers to wonder why? Amongst all nations, the United States has seen some of the greatest declines in the last 10 plus years. Without a definite explanation, Colony Collapse Disorder (CCD) was coined to explain the sudden and sharp decline of the honey bee colonies that beekeepers were experiencing. Colony collapses have been rising higher compared to expected averages over the years, and during the winter season losses are even more severe than what is normally acceptable. There are some possible explanations pointing towards meteorological variables, diseases, and even pesticide usage. Despite the cause of CCD being unknown, thousands of beekeepers have reported their losses, and even numbers of infected colonies and colonies under certain stressors in the most recent years. Using the data that was reported to The United States Department of Agriculture (USDA), as well as weather data collected by The National Centers for Environmental Information (NOAA) and the National Centers for Environmental Information (NCEI), regression analysis was used to investigate honey bee colonies to find relationships between stressors in honey bee colonies and meteorological variables, and colony collapses during the winter months. The regression analysis focused on the winter season, or quarter 4 of the year, which includes the months of October, November, and December. In the model, the response variables was the percentage of colonies lost in quarter 4. Through the model, it was concluded that certain weather thresholds and the percentage increase of colonies under certain stressors were related to colony loss.

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Date Created
2018-05

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Relationship Between College Baseball Conferences and Average Offensive Production of Major League Baseball Players

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Beginning with the publication of Moneyball by Michael Lewis in 2003, the use of sabermetrics \u2014 the application of statistical analysis to baseball records - has exploded in major league front offices. Executives Billy Beane, Paul DePoedesta, and Theo Epstein

Beginning with the publication of Moneyball by Michael Lewis in 2003, the use of sabermetrics \u2014 the application of statistical analysis to baseball records - has exploded in major league front offices. Executives Billy Beane, Paul DePoedesta, and Theo Epstein are notable figures that have been successful in incorporating sabermetrics to their team's philosophy, resulting in playoff appearances and championship success. The competitive market of baseball, once dominated by the collusion of owners, now promotes innovative thought to analytically develop competitive advantages. The tiered economic payrolls of Major League Baseball (MLB) has created an environment in which large-market teams are capable of "buying" championships through the acquisition of the best available talent in free agency, and small-market teams are pushed to "build" championships through the drafting and systematic farming of high-school and college level players. The use of sabermetrics promotes both models of success \u2014 buying and building \u2014 by unbiasedly determining a player's productivity. The objective of this paper is to develop a regression-based predictive model that can be used by Majors League Baseball teams to forecast the MLB career average offensive performance of college baseball players from specific conferences. The development of this model required multiple tasks: I. Data was obtained from The Baseball Cube, a baseball records database providing both College and MLB data. II. Modifications to the data were applied to adjust for year-to-year formatting, a missing variable for seasons played, the presence of missing values, and to correct league identifiers. III. Evaluation of multiple offensive productivity models capable of handling the obtained dataset and regression forecasting technique. IV. SAS software was used to create the regression models and analyze the residuals for any irregularities or normality violations. The results of this paper find that there is a relationship between Division 1 collegiate baseball conferences and average career offensive productivity in Major Leagues Baseball, with the SEC having the most accurate reflection of performance.

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2017-05

The Value of Wins: The Remunerative Impact of Sustained Consistency in Professional Sports

Description

This paper is intended to identify a correlation between the winning percentage of sports teams in the four major professional sports leagues in the United States and the GDP per capita of their respective cities. We initially compiled fifteen years

This paper is intended to identify a correlation between the winning percentage of sports teams in the four major professional sports leagues in the United States and the GDP per capita of their respective cities. We initially compiled fifteen years of franchise performance along with economic data from the Federal Reserve Bank of St. Louis to analyze this relationship. After converting the data into a language recognized by Stata, the regression tool we used, we ran multiple regressions to find relevant correlations based off of our inputs. This paper will show the value of the economic impact of strong or weak performance throughout various economic cycles through data analysis and conclusions drawn from the results of the regression analysis.

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2017-12

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FastStat: Online Statistics Calculator

Description

FastStat is a responsive website designed to work on any handheld, laptop, or desktop device. It serves as a first step into statistical calculations, educating the user on the basics of statistical analysis, and guiding them as they perform analyses

FastStat is a responsive website designed to work on any handheld, laptop, or desktop device. It serves as a first step into statistical calculations, educating the user on the basics of statistical analysis, and guiding them as they perform analyses of their own using built-in calculators. The calculators available can perform z tests, t tests, chi square tests, and analysis of variance tests to determine significant characteristics of the user's data. Outputted data includes means, standard deviations, significance levels, applicable statistics, and worded results indicating the outcome of the performed test. With its clean design, FastStat directs the user in an intuitive manner to fill in the information needed, giving clear indications of what types of values are needed where and flagging descriptive error messages if any inputted values are incorrect. FastStat also implements a halt to calculations if any errors are found, which saves time by avoiding impossible calculations. Once complete, FastStat outputs a variety of information of use to the user in a clearly labeled manner. The calculators are designed in such a way that the user will know what information they will get out of the calculator before performing any calculations at all. Aside from the calculators, FastStat includes introductory pages designed to get users familiar with common statistical terms and the associated tests, solidifying its purpose as an introductory tool. All tests are described by their typical uses, necessary inputs, calculated outputs, and extra notes of importance. Many terms are defined for the purpose of statistics, complete with examples to help educate the user on the concepts. With the information available, even the newest statistician can learn and begin performing tests almost immediately.

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2018-12

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The Importance of Slave Narratives: The Analysis of Jacob D. Green's Life

Description

Jacob D. Green's slave narrative breaks standards surrounding slave narratives and wrote a strong, unique story that allowed his audience to relate to his human characters. His narrative has unprecedented qualities that make his autobiography distinctive. An attempt to locate

Jacob D. Green's slave narrative breaks standards surrounding slave narratives and wrote a strong, unique story that allowed his audience to relate to his human characters. His narrative has unprecedented qualities that make his autobiography distinctive. An attempt to locate him in historical documents proved inconclusive and some of his stories elaborated, but his narrative is still a valuable piece of literature that gives historians a glimpse into slavery in the United States and the abolition movement in England.

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Date Created
2015-05

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Hijrah to the Islamic State: A Preliminary Analysis

Description

In this thesis, I conduct a preliminary analysis of the Islamic State of Iraq and Al-Sham's travel manual-cum-propaganda ebook Hijrah to the Islamic State, which has been used by people from various parts of the world attempting to enter Syria

In this thesis, I conduct a preliminary analysis of the Islamic State of Iraq and Al-Sham's travel manual-cum-propaganda ebook Hijrah to the Islamic State, which has been used by people from various parts of the world attempting to enter Syria and join the terrorist organization. Using techniques from discourse and propaganda analysis I examine how the author of the text uses discursive resources to construct the reader of the text, the author's expectations for the reader, and the act of traveling to Syria. I then use news articles from varying organizations as well as the Islamic State-produced periodical magazine Dabiq to locate the document within the context of Islamic State affairs and propaganda. Subsequently, I show that the use of discursive resources is consistent with the ethos espoused in Dabiq, and in addition to serving as a guide to entering Syria Hijrah to the Islamic State is also a soft introduction into the radical belief systems of the terrorist group itself.

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Date Created
2016-05

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LGBT Recognition in Arizona: A Honnethian Analysis of Gay Rights in Arizona's Recent History

Description

Although significant progress has been made in terms of LGBT rights in the United States, the topic has still remained one of the most prevalent and divisive issues in recent history. In Arizona, this prevalence and divisiveness has been illustrated

Although significant progress has been made in terms of LGBT rights in the United States, the topic has still remained one of the most prevalent and divisive issues in recent history. In Arizona, this prevalence and divisiveness has been illustrated through the state's civil rights and legislative history. Additionally, the importance of this issue is highlighted by the incidents of discrimination and bullying towards LGBT students in Arizona's schools. With this in mind, it was critical to conduct an exploratory historical analysis of LGBT rights in Arizona to better understand the recent history and current climate towards the LGBT community in the state. To explore this issue, the data consisted of reports on the fiscal impact of adopting LGBT-friendly policies, reports on LGBT health and well-being, reports on the school climate, court cases, pieces of legislation, opinion polls, news articles, and opinion pieces. This data on LGBT rights in Arizona was then codified, summarized, and analyzed using Axel Honneth's theory of recognition. Through the application of Honneth's theory to the data, it was possible to examine the history of recognition and misrecognition towards the LGBT community in Arizona. In total, there were six identifiable areas that emerged in which recognition and misrecognition exists: LGBT identity and well-being, marriage recognition, LGBT youth, rights and partner benefits, allies of the LGBT community, and opponents of LGBT rights. This project examined those areas through the lens of Arizona's history and provides insights into the current status of LGBT rights in Arizona.

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Date Created
2016-05

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A Comparative Analysis of Indoor and Greenhouse Cannabis Cultivation Systems

Description

In A Comparative Analysis of Indoor and Greenhouse Cannabis Cultivation Systems, the two most common systems for commercial cannabis cultivation are compared using an operational and capital expenditure model combined with a collection of relevant industry sources to ascertain conclusions

In A Comparative Analysis of Indoor and Greenhouse Cannabis Cultivation Systems, the two most common systems for commercial cannabis cultivation are compared using an operational and capital expenditure model combined with a collection of relevant industry sources to ascertain conclusions about the two systems' relative competitiveness. The cannabis industry is one of the fastest growing nascent industries in the United States, and, as it evolves into a mature market, it will require more sophisticated considerations of resource deployment in order to maximize efficiency and maintain competitive advantage. Through drawing on leading assumptions by industry experts, we constructed a model of each system to demonstrate the dynamics of typical capital deployment and cost flow in each system. The systems are remarkably similar in many respects, with notable reductions in construction costs, electrical costs, and debt servicing for greenhouses. Although the differences are somewhat particular, they make up a large portion of the total costs and capital expenditures, causing a marked separation between the two systems in their attractiveness to operators. Besides financial efficiency, we examined quality control, security, and historical norms as relevant considerations for cannabis decision makers, using industry sources to reach conclusions about the validity of each of these concerns as a reason for resistance to implementation of greenhouse systems. In our opinion, these points of contention will become less pertinent with the technological and legislative changes surrounding market maturation. When taking into account the total mix of information, we conclude that the greenhouse system is positioned to become the preeminent method of production for future commercial cannabis cultivators.

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2016-05

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Conditions for Almost Commuting Matrices to be Nearly Commuting

Description

Almost commuting matrices, i.e. matrices with a sufficiently small commutator, may be nearly commuting, i.e. there may exist matrices close by which do commute. By referencing current literature, this condition is studied for fixed dimension, unitary, self-adjoint, and orthogonal matrices.

Almost commuting matrices, i.e. matrices with a sufficiently small commutator, may be nearly commuting, i.e. there may exist matrices close by which do commute. By referencing current literature, this condition is studied for fixed dimension, unitary, self-adjoint, and orthogonal matrices. These proofs are made more accessible and compared to each other, providing insight to possible future progress in the field.

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Date Created
2015-05