Mathematics
Permanent URI for this collectionhttps://hdl.handle.net/11274/15813
Browse
Browsing Mathematics by Issue Date
Now showing 1 - 20 of 62
- Results Per Page
- Sort Options
Item Fourier transform: Constructing and deconstructing overtones(May-23) Wiersema, Lukas; Navarra-Madsen, Junalyn; Smith, Shawnda; Falley, BrandiThe purpose of this thesis is to examine why different instruments sound different even when playing the same note. This is done through the use of the Fourier transform on sample recordings of different instruments. The thesis will include a bases for understanding waves and how the Fourier transform is used, as well as some basic music theory, before examining the differences in the instruments.Item Flags of Caution for Future Downturns in the Housing Market Prediction Using the Markov Chain Model(1/1/2013) Owens, Susan Eustice; Marshall, David; Edwards, Don; Demuynck, Marie-Anne; Ingram, PaulThe recent downturn in the United States housing market yielded a period of time akin to that of the Great Depression. Since the 1930s, there has never been an economic downturn in this country as close as that of the Great Depression era. The Depression experienced similarities to the current economic crisis but more important, the Great Depression's comparable statistical data raise flags of caution for future downturns in the housing market. One of the major similarities is a housing boom, which in both periods preceded a downturn. Precipitous growth reached unsustainable levels; then, a big decline burst the real estate bubble. In this study the Markov Chain Model was used as a forecasting tool to evaluate the status of home mortgages and to demonstrate the capability to predict future housing economic crises. Statistical data from both eras were gathered and shown in a transition matrix.Item Predicting Total Student Credit Hours Production by Cohort Stratification(Texas Woman s University, 1/1/2013) Sheeder, Carolina DominguezThe objective of this study is to develop predictive models of total student credit hours (SCH) prior to the fall semester of interest by using preregistration data from Texas Woman's University (TWU). We developed two different approaches to predict SCH for undergraduate and SCH for graduate students separately. Our first approach is based on the patterns of weekly counts of SCH observed over time. For our second approach, we developed a model that relies on an average of SCH and a total headcount. This research presents a self-contained procedure to predict headcount and includes a criterion to select a prediction model for the average of SCH. After explaining the development of each of our SCH prediction models, we compare the results and discuss their strengths and weaknesses.Item A Statistical approach to predict future members of the Baseball Hall of Fame(Texas Woman s University, 1/1/2013) Zemler, Kelsey; Marshall, David, Ph. D.; Hamner, Mark S.; Edwards, Don E.; Navarra-Madsen, JunalynThe purpose of this study was to construct an accurate statistical model for the members of the baseball hall of fame and use this model to predict future hall of fame members, using a frequentist approach. Using logistic regression, accurate models were determined for each position that can be used to predict if a certain player will make it into the Hall of Fame. Baseball-Reference.com was the major source of data. Once the analysis was complete, nine different models were chosen to determine the probability that a certain player at a given position would make it into the Hall of Fame based on their baseball statistics. Positions were also analyzed by time periods and models were found for each position in each time frame, if one existed. In general, time period models for the various positions were inconclusive, however a model for each position was found overall.Item Analyzing trends in baseball Hall of Fame voting, through the use of Multidimensional Scaling(1/1/2014) Porter, Kalli Cherie; Marshall, David; Falley, Brandi; Edwards, Don E.The purpose of this study was to see if any trends exist within voting on the baseball Hall of Fame ballot. For this particular study I used the mathematical concept called Multidimensional Scaling. This approach allowed me to visually see the difference between players in relation to the number of votes received. The majority of the data obtained for this study was through the Baseball Writers' Association of America website and the National Baseball Hall of Fame and Museum website. Through the use of Multidimensional Scaling and R programming, I was able to construct two dimensions within the voting on the ballot. It was decided that characteristics pertaining to certain players make an impact on the number of votes received.Item Benford's law and humanly generated prices in auction houses and buyout systems of virtual worlds(1/1/2014) Endress, Megan Brooke; Marshall, David; Falley, Brandi; Wheeler, AnnThe purpose of this study was to analyze the buyout, or "buy now," prices in auction houses of virtual environments, such as World of Warcraft and Guild Wars 2. Human players interact with an auction house user interface in order to buy or sell in-game items, purchasable with in-game currency. Players wishing to sell items can post their items on the auction house for set lengths of time, as well as set a starting bid amount and/or an amount in which other players can instantly buy the item. Since the establishment of Benford's Law, it has been supported that data generated by humans typically does not follow Benford's Law, proving to be a beneficial tool in detecting fraudulent accounting data. However, this study shows that the leading significant digits of these buyout prices in virtual environments created by humans follow Benford's Law by utilizing Kuiper's goodness of fit V_n test, a modified Kolmogorov-Smirnov test.Item Historic development of prime numbers(1/1/2014) Ryder, Brent Alan; Grigorieva, Ellina; Edwards, Don E.; Marshall, DavidThe purpose of this thesis is to investigate the history of prime numbers and development of prime number theory. There are three major sections to this thesis, Ancient times, Dark Ages, and Modern times. The ancient time's section has topics on the `Ishango Bone', `Rhine Papyrus' with an investigation of Egyptian fractions, and Euclid's Elements where the proof of the existence of an infinite number of primes was first given. The `Dark Ages' section has topics on non-European mathematicians who worked with prime numbers. The final section covers more modern prime number theory from Gauss, Fermat, Legendre, and Riemann.Item Analysis of factors contributing to student’s academic performance in college’s STEM program(1/18/2022) Ayeni, Abimbola A; Falley, BrandiThe purpose of this study is to analyze different variables in understanding how they affect the academic performance of students taking STEM courses at a mid-sized college in the southern United States. These factors are classified into pre-college variables and college variables. The pre-college variables are ACT/SAT scores, gender, ethnicity, and first-generation student or not. The college variables are college GPA, Pell grant recipient, the student’s continuance with the degree major in sophomore year. Implementing regression analysis and using backward regression to remove variables that are not correlated to the response variable (CGPA), we were able to arrive at the best model using the three variables: ACT mathematics, ACT English, and gender. The resulting variables selected show us how the value of R^2 has helped us in making sense of the model selected by 14.2%.Item Challenges the airline industry faces at present(1/31/2019) Tran, Y Thi Thuy; Falley, BrandiThe competition among businesses operating in the airline industry has become highly intense. This has resulted in creating different types of obstacles for those organizations. For instance, companies are now required to invest large amounts of resources in marketing and promotion activities to attract more and more customers. The main aim of conducting the present study is to identify various issues faced by the airline industry. For the present study, the research has adopted an inductive approach focusing on general assumptions then comes to the specific and applies to the industry, the research has emphasis on selecting exploratory research design technique. The sample size for the present study is 101 respondents from more than 10 different airline companies at Dallas-Fort Worth airport in Dallas, Texas includes American Airlines, JetBlue Airways, Spirit Airlines, Delta Airlines, Frontier Airlines, United Airlines, Alaska Airlines, Sun Country Airlines, Korean Airlines, and Qatar Airlines. From the study carried out, it can be concluded that there are large number of issues and challenges that are being faced by the companies operating in the airline industry. At present, conducting smooth flow of all operations and activities is no longer an easy task for companies. Companies are not able to determine suitable strategies that can support in attracting new customers and retaining the old ones in every possible manner. It is recommended to the airline companies to carry out external analysis on a continuous basis through PESTLE (Political environment, Economic factors, Sociocultural factors, Technological changes, Legal issues, Environmental aspects) as through this it is possible for them to know the external challenges that affect business operations.Item Modeling autoimmune disease with differential equations(10/3/2018) Anderson, Jennifer Ann; Grigorieva, EllinaIn this project, I will build a mathematical model of a developed autoimmune process considering cell autoimmunity that plays the main role in any autoimmune disorder using a system of three non-linear differential equations. As model variables, I will use the concentration of target cells not bearing damage, concentration of cytotoxic T- lymphocytes against given cells, and the concentration of the tissue-specific antigen formed because of the destruction of the target cells. All concentrations will be expressed in the moles per liter. We will investigate the model over the time interval [0, T] given either by months or days analytically as well as numerically.Item Mathematical modeling and control of MERS-CoV epidemics(11/20/2017) Alshakhoury, Narjes S.; Edwards, Don E.; Grigorieva, Ellina; Navarra-Madsen, JunalynMiddle East Respiratory Syndrome Coronavirus (MERS-CoV) is a viral infectious disease that can be transmitted to humans through interaction with infected animals or humans. In this thesis, we will investigate the basic compartment models for infectious diseases qualitatively and quantitatively. The equilibrium points and their stability will be explored by using differential equations methods. Based on the available data on the Middle East Respiratory Syndrome, this research study will clarify the model of MERS-CoV analytically and numerically. Additionally, this proposed study will explore the optimal control to reduce the spread of MERS-CoV disease as well as its threshold. Mathematical software, such as MAPLE, will be used to investigate the model.Item Bayesian learning on dependent features(12/30/2011) Bengfort, Eric; Navarra-Madsen, Junalyn; Hamner, Mark S.; Demuynck, Marie-Anne; Edwards, Don E.Bayesian Learning is a robust machine learning algorithm. In addition to working well with limited sample sizes, Bayesian Learning also provides a probabilistic categorization. The caveat of performing a Bayesian Analysis is that the features of Training Instances are typically assumed to be independent of each other. As a result, Bayesian Learning will "struggle" to properly classify Training Instances with dependent features. This paper proposes an extension to the Bayesian Learning Algorithm which is capable of overcoming this weakness. This newly proposed algorithm will create new candidates for Bayesian Classification by performing permutations upon the Original Training Data. It is hoped that this upstart algorithm will be applied to biological data sets to find the solution to an unsolved medical problem.Item General passion scale (Gen-PS) toward validation of passion as a general trait-like personality construct(12/30/2011) Chu, Lilian; Marshall, David, Ph. D.; Hamner, Mark S.; Gawlik, ChristinaAlthough research regarding passion has been advancing, an explicit definition of passion has not been derived, nor has a universally accepted, standardized, and reliable method of measuring passion been constructed. This study proposes a relatively new concept of passion as a general trait-like personality construct rather than the more widely accepted classification of passion as an attitude. This paper also introduces a newly developed instrument of measurement, the General Passion Scale (Gen-PS), seeking to measure passion as a personality trait. The purpose of the study is to a) illustrate that passion can be defined as a general personality trait, b)to validate the Gen-PS, and c) to assess whether the scale is an internally reliable metric of passion. This paper is evaluates the Gen-PS's construct validity using factor analytic methods and tests of reliability.Item Elliptic curves and cryptography(12/30/2015) Win, Khing Zar; Navarra-Madsen, Junalyn; Zhang, Jian; Edward, Don E.Item Predicting students' approach to knowledge by analyzing misconceptions and errors students make writing proofs(12/30/2016) Rice, Jennifer; Wheeler, Ann; Edwards, Don E.; Marshall, DavidFor this quantitative research study, an existing proof rubric (Selden & Selden, 1987; Wheeler & Champion, 2011) for students’ errors and misconceptions was used to examine students’ proofs in Discrete Mathematics class. Data were collected from two classes spanning two semesters, and participants included 27 computer science majors and 35 mathematics majors. Through coding of student work, one misconception and two errors were identified and used to predict the students’ thinking methodology and its impact on proof writing abilities.Item A student information system for microcomputers(Texas Woman's University, 12/31/1981) Waechter, Douglas A.Item Investigation of instructional methods in a community college course(12/4/2017) Gossett, Marsha K.; Marshall, David, Ph. D.; Edwards, Don E.; Falley, Brandi; Navarra-Madsen, JunalynCommunity colleges have an open-door policy. With this open-door policy, many students enter the college underprepared for college level courses and require college preparatory courses in reading, writing, and/or mathematics. College preparatory math courses appear to be a blockade for the completion of bachelor degrees from college for a large proportion of community college students. There is a push in Texas to get students through college preparatory classes quicker. Colleges are looking for innovative ways to deliver college preparatory level courses faster while maintaining content quality. One North Texas community college is meeting the needs of remediation for college preparatory students by offering Elementary Statistics paired with a non-course based math class (NCBM). In this study, the Chi-Square Test was used in order to determine if the college preparatory students are passing Elementary Statistics paired with the NCBM at the same proportion that college ready students are passing Elementary Statistics.Item Transient potentials in dendritic systems of intricate geometry(1978-12) Aftabizadeh, Abdol-Reza; Horwitz, Barry; Hogan, Doyne Turner; Kehler, ThomasItem Levers: a computer-assisted instruction(Texas Woman's University, 1982-08) Tate, Judith A.Item The lattice of subgroups of finite groups(1982-12) Rasras, Awad; Christy, John