Mathematics Commons^™

Voting Rules And Properties, Zhuorong Mao

Undergraduate Honors Theses

This thesis composes of two chapters. Chapter one considers the higher order of Borda Rules (Bp) and the Perron Rule (P) as extensions of the classic Borda Rule. We study the properties of those vector-valued voting rules and compare them with Simple Majority Voting (SMV). Using simulation, we found that SMV can yield different results from B1, B2, and P even when it is transitive. We also give a new condition that forces SMV to be transitive, and then quantify the frequency of transitivity when it fails.

In chapter two, we study the `protocol paradox' of approval voting. In approval …

Financial Literacy Among Buffalo State College Undergraduate Students, Toni Martinucci

Public Administration Master’s Projects

Financial literacy can be complex and difficult for college students to comprehend. Many students struggle to afford college and are faced with large amounts of student loan debt. Financial awareness needs to be addressed early on for students to make informed decisions about college costs, student debt, and financial aid. However, financial aid applications, terms and conditions, and eligibility requirements are difficult for many students to comprehend on their own. The purpose of this study is to access financial literacy among undergraduate students at Buffalo State College. A quantitative approach is used in this study by implementing a web-based cross-sectional …

War And Money In Ngram Viewer, Robert H. Mcfadden, William Zywiak, Ronald P. Bobroff, Gao Niu

Finance Department Faculty Journal Articles

The second and fourth authors have been inviting Intro to Applied Analytics and Statistics 1 students to use the Ngram Database to explore historical topics of their choosing. This is the first article derived from this exercise. The first author examined the historical relationship between war and money from 1775 to 2005 in the American English corpus. This is followed by an examination of the 3-gram “cost of war” in the American English and British English corpora. Specific to the analyses presented here several military and economic events are discussed. More specifically, both economies and wars are somewhat unpredictable, with …

Logic, Co-Ordination And The Envelope Of Our Beliefs, Rohit J. Parikh

Publications and Research

Each of us has a story which we can think of as a set of beliefs, hopefully consistent. We make our decisions in view of our beliefs which may be probabilistic, in the general case, but simple yes or no as in this paper. Our beliefs are our envelope just as the shell of a tortoise is its envelope.

Decision theory - or single agent game theory tells us when to make the best choice in a game of us against nature. But nature has no desire to further or frustrate our efforts. Nature is mysterious but not malign.

Things …

Beyond Ethics: Considerations For Centering Equity-Minded Data Science, Nathan Alexander, Carrie Diaz Eaton, Anelise H. Shrout, Belin Tsinnajinnie, Krystal Tsosie

Journal of Humanistic Mathematics

In this paper, we utilize duoethnography - a research method in which practitioners discursively interrogate the relationships between culture, context, and the mechanisms which shape individual autobiographical experiences - to explore what may be beyond ethics in the context of data science. Although ethical frameworks have the ability to reflect cultural priorities, a singular view of ethics, as we explore, often fails to speak to the multiple and diverse priorities held both within and across institutional spaces. To that end, this paper explores multiple perspectives, epistemologies, and worldviews that can collectively push researchers towards considerations of a data science education …

Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield

Journal of Humanistic Mathematics

Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics …

Data Ethics: An Investigation Of Data, Algorithms, And Practice, Gabrialla S. Cockerell

Honors Projects

This paper encompasses an examination of defective data collection, algorithms, and practices that continue to be cycled through society under the illusion that all information is processed uniformly, and technological innovation consistently parallels societal betterment. However, vulnerable communities, typically the impoverished and racially discriminated, get ensnared in these harmful cycles due to their disadvantages. Their hindrances are reflected in their information due to the interconnectedness of data, such as race being highly correlated to wealth, education, and location. However, their information continues to be analyzed with the same measures as populations who are not significantly affected by racial bias. Not …

Sheltered Math Curriculum For Middle School English Learners, Jasmine Ercink

Dissertations, Theses, and Projects

Language barriers have shown a need for differentiation and sheltered instruction in the classroom for English Learners (ELs) to be successful in the United States public school system. This project proposes a mathematics curriculum using SIOP so that both groups of students in the middle school level can increase their proficiency in the mathematics content area as well as experience opportunities for academic and social language development. The purpose of this report is to describe the processes, methods, data, and intent of the mathematics curriculum for these learners. The curriculum acts as an effective intervention to fill gaps in both …

Volume 13, Payton Davenport, Audrey Lemons, Jacob Shope, Haley Smith, Cassandra Poole, Rachel Cannon, Rachel Boch, Suzanne Stetson

Incite: The Journal of Undergraduate Scholarship

Introduction Dr. Roger A. Byrne, Dean

From the Editor Dr. Larissa “Kat” Tracy

From the Designers Rachel English, Rachel Hanson

The Effect of Compliment Type on the Estimated Value of the Compliment by Payton Davenport, Audrey Lemons, and Jacob Shope

The Imperial Japanese Military: A New Identity in the Twentieth Century, 1853–1922 by Haley Smith

Longwood University’s campus: Human-cultivated Soil has Higher Microbial Diversity than Soil Collected from Wild Sites by Cassandra Poole

Reminiscent Modernism: Poetry Magazine’s Modernist Nostalgia for the Past by Rachel Cannon

Challenges Faced by Healthcare Workers During the COVID-19 Pandemic: A Preliminary Study of Age and …

Economic Losses From Covid-19 Cases In The Philippines: A Dynamic Model Of Health And Economic Policy Trade-Offs, Elvira P. De Lara-Tuprio, Ma. Regina Justina E. Estuar, Joselito T. Sescon, Cymon Kayle Lubangco, Rolly Czar Joseph T. Castillo, Timothy Robin Y. Teng, Lenard Paulo V. Tamayo, Jay Michael R. Macalalag, Gerome M. Vedeja

Mathematics Faculty Publications

The COVID-19 pandemic forced governments globally to impose lockdown measures and mobility restrictions to curb the transmission of the virus. As economies slowly reopen, governments face a trade-off between implementing economic recovery and health policy measures to control the spread of the virus and to ensure it will not overwhelm the health system. We developed a mathematical model that measures the economic losses due to the spread of the disease and due to different lockdown policies. This is done by extending the subnational SEIR model to include two differential equations that capture economic losses due to COVID-19 infection and due …

Proceedings State Of Stem 2022: How Does Virtual Hands-On Stem Work?, Cristo Leon, James Lipuma, Michele Rittenhouse, Louis Wells, Edgar Meritano, Ricardo Morales-Carbajal, Miguel Angel Bastarrachea Magnani, Ten80 Education, Llc, New Jersey School Boards Association, International Stem League, Inc (Insl), Red De Investigadores De Juegos De Rol

STEM for Success Resources

Proceedings of the "State of STEM 2022: How does virtual hands-on STEM work?"

High School Student Perspective: My Njit Stem For Success Internship Experience, Michael Mora

STEM Month

During the 2020-2021 school year, I was a senior at the Academy for Mathematics, Science, and Engineering (AMSE) in Rockaway, NJ. At AMSE, a STEM-focused four-year magnet high school program hosted at Morris Hills High School, participating in an extended internship senior year is a cornerstone of the learning process. Required to complete a STEM-related internship to graduate, Academy students are encouraged to seek out an internship they’re passionate about in a field of their choice. The internship, which must be conducted under the mentorship of an industry professional, must meet the New Jersey-approved standards for a work-based learning experience …

Revisiting Prejudiced Polygons: Adapting A Familiar Activity During A Time Of Unknowns, Anne M. Ho, Jaime J. Mccauley, Tara T. Craig

Journal of Math Circles

This article describes the design process behind various iterations of Prejudiced Polygons, a Math Circles activity about segregation. In particular, we frame our discussion around two guiding principles from User Experience (UX) Design in thinking about the interconnected components of a Math Circles session, which includes all the people, the physical or virtual setting, the technology, and the world context. Additionally, we describe how we think about developing a “low floor" and “high ceiling" for math content, social issues content, as well as technology and access.

Poster Session, Emma Beeler, Maddison Caldwell, Mackenzie Paul, Shirli Salihaj, Sara Lynn Sligh, Stephen Trest

Mississippi Undergraduate Honors Conference

Video provided is of MacKenzie Paul's presentation.

Abstracts

Humanities

Emma Beeler, Mississippi University for Women

Adultery and Fidelity in the Lais of Marie de France

Using both literary and historical analysis, I will examine contrasting depictions of adultery and fidelity within the lais written by 12th-century poet Marie de France. A lai is a type of narrative poem, ranging in length from 118 to 1184 lines. Many of Marie de France’s lais follow the literary trope known as courtly love; however, the reader is encouraged to sympathize with different characters depending on the lai. In some lais, the reader …

Mathematics For The Masses: Door-To-Door Missionaries Of Math And Twelve-Step Recovery Programs, Daniel S. Helman

Journal of Humanistic Mathematics

Conversion of strangers, or proselytizing, is a feature of a range of groups for religious, organizational and other aims. In twelve-step recovery programs, such as Alcoholics Anonymous, belief in a higher power is a requirement for working the steps to recovery. People are encouraged to find a higher power of their own understanding. This paper presents a model for using mathematics as a higher power, and shows how recovery works with mathematics in that role instead of a more traditional higher power such as God. A contemplative definition of math is given along with a description of a three-categoried epistemology: …

Decisions, Decisions: How Should The Votes Be Counted?, Michael J. Caulfield

Journal of Humanistic Mathematics

It is a simple matter for the members of a group to decide among two options. When there are three or more options among which to choose, the situation is much more complicated. This is precisely what faces the electorate each time there are more than two candidates running for a single office. And while there is debate over which voting method should be used, there is wide agreement over the method that should not be used: plurality, the most common approach taken in the United States. This article presents a simple classroom activity which provides students the opportunity to …

Covid-19, Vaccines, And Decision Theory, Michael A. Lewis

Journal of Humanistic Mathematics

In this piece, I delve into some thoughts I've had about decision theory. These have been inspired by the vaccine rollout phase of the COVID-19 Pandemic. I focus on decision making under uncertainty, as it relates to the decision to get vaccinated or not.

Teiresias, Proportions, And Sexual Pleasure, Spyros Missiakoulis

Journal of Humanistic Mathematics

In this short article, I claim that Teiresias, the blind prophet of Apollo, in order to answer the question of whether “in sexual intercourse the woman had a larger share of pleasure than the man did”, measured the abstract concept of sexual pleasure and acted as a present-day scholar. With the help of numerical, not geometrical, proportions, he ended up with the conclusion “a man enjoyed one-tenth of the pleasure and a woman nine-tenths”.

The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle

Theses, Dissertations and Capstones

This study explored the differences in student success outcomes between students enrolled in non-STEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using de-identified student data. The researcher analyzed this extant data to determine if student characteristics were predictors of success, as defined as passing the mathematics corequisite course, retention to the next semester, and earning a GPA of 2.0 or higher. The researcher also conducted analyses to understand if the differences in those outcomes between STEM and non-STEM courses were significant. This study identified statistically significant gaps in success for students …

An Exponential Formula For Random Variables Generated By Multiple Brownian Motions, Maximilian Lawrence Baroi

CGU Theses & Dissertations

The frozen operator has been used to develop Dyson-series like representations for random variables generated by classical Brownian motion, Lévy processes and fractional Brownian with Hurst index greater than 1/2.The relationship between the conditional expectation of a random variable (or fractional conditional expectation in the case of fractional Brownian motion)and that variable's Dyson-series like representation is the exponential formula. These results had not yet been extended to either fractional Brownian motion with Hurst index less than 1/2, or d-dimensional Brownian motion. The former is still out of reach, but we hope our review of stochastic integration for fractional Brownian motion …

نيوتروسوفيك أوفرسيت ، نيوتروسوفيك أونديرست ، وإزاحة نيوتروسوفيك [Neutrosophic Overset, Neutrosophic Underset, And Neutrosophic Offset], Florentin Smarandache, Riad K Al-Hamido (Translator From English To Arabic)), Khaled Adnan Alabdullah (Translator From English To Arabic)

Branch Mathematics and Statistics Faculty and Staff Publications

تم تعريف Neutrosophic Over-/ Under- / Off-Set and -Logic لأول مرة بواسطة Smarandache في عام 1995 ونشر في عام 2007. وهي مختلفة تمامًا عن المجموعات / المنطق / الاحتمالات الأخرى. قام بتمديد مجموعة العدلات على التوالي إلى Neutrosophic Overset {عندما يكون بعض مكونات neutrosophic> 1} ، Neutrosophic Underset {عندما يكون بعض مكونات neutrosophic <0} ، وإلى إزاحة Neutrosophic {عندما تكون بعض مكونات العدلات خارج الفاصل الزمني [0 ، 1] ، أي بعض مكونات العدلات> 1 ومكونات أخرى نيوتروسوفيك <0}. هذا ليس مفاجئًا فيما يتعلق بالمجموعة / المنطق الغامض الكلاسيكي ، أو المجموعة / المنطق الغامض الحدسي ، أو الاحتمال الكلاسيكي / غير الدقيق ، حيث لا يُسمح بالقيم خارج الفاصل الزمني [0 ، 1] ، نظرًا لأن عالمنا الحقيقي به العديد من الأمثلة و تطبيقات المكونات الزائدة / السفلية / البعيدة عن العدلات

Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities. He extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when …

Introduction To Plithogenic Sociogram With Preference Representations By Plithogenic Number, Nivetha Martin, Florentin Smarandache, R. Priya

Branch Mathematics and Statistics Faculty and Staff Publications

The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic fuzzy, neutrosophy and other extended representations of fuzzy sets. The relativity of the comprehensive and accommodative nature of plithogenic sets in dealing with attributes shall be applied to handle the decision–making problems in the field of sociology. This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic fuzzy and neutrosophic numbers that shall be used in …

Linguistic Functions, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, the authors have proved the analogues of the Bolzano Weierstrass theorem for the linguistic version. Several concepts in the case of linguistic continuum are very distinct from the natural classical real continuum. Categorically, we have three linguistic variables: one leading to a continuum, some finite and orderable set, and some not orderable. We define a linguistic plane associated with linguistic variables and give graphs associated with linguistic functions.

Linguistic Graphs And Their Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors define the notion of directed linguistic graphs and linguistic-weighted graphs.

The second chapter discusses all types of linguistic graphs, linguistic dyads, linguistic triads, linguistic wheels, complete linguistic graphs, connected linguistic graphs, disconnected linguistic graphs, and linguistic components of the graphs. Further we define the notion of linguistic subgraphs of a linguistic graph. The third chapter also introduces the notion of Linguistic Cognitive Maps (LCMs) analogous to Fuzzy Cognitive maps (FCMs). We also propose Linguistic relational Maps, which are analogous to Fuzzy Relational Maps. These models find applications in problems whose data is unsupervised, but the values are linguistic.

Linguistic Geometry And Its Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors venture to define the notion of linguistic geometry in this book.

It is pertinent to keep on the record that linguistic geometry differs from the classical geometry.

Many fundamental concepts and notions of classical geometry are not valid or extendable in the case of linguistic geometry.

We discuss in dept the linguistic variables, graphs and geometry essential for social information networks.

And then develop the new notion of linguistic geometry and its related properties.

The concept of linguistic social information geometric networks is also developed.

Linguistic Semilinear Algebras And Linguistic Semivector Spaces, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book introduces algebraic structures on linguistic sets associated with a linguistic variable.

The linguistics with single closed binary operations are only semigroups and monoids. Authors feel it is not possible to define the notion of linguistic group.

We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces, and linguistic semilinear algebras defined over linguistic semifields.

We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable.

Generation Of Creative Game Scene Patterns By The Neutrosophic Genetic Cocoso Method, Aurimas Petrovas, Romualdas Bausys, Edmundas Kazimieras Zavadskas, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Creative procedural generation requires, by its nature, a nondeterministic result. Each set of outputs has to satisfy the required criteria and, at the same time, has to show unique results to be considered creative. One of the keys to increasing nondeterminism is to use fuzzy neutrosophic sets. A combination of a CoCoSo multi-criteria decision algorithm with a genetic algorithm to generate game scenes was proposed. The algorithm satisfies the required game rules and improves the aesthetics value of the visual game scene. The proposed approach seeks to produce a creative solution which satisfies the replayability principle, when the solution is …

Guide To The Dr. L.S. Dederick Papers, 1908-1956, Undated, Orson Kingsley, Patrick Koetsch

Archives & Special Collections Finding Aids

Louis Serle (L.S.) Dederick was born in Chicago in 1883. He received his Ph.D. in Mathematics from Harvard University in 1909. From 1909 – 1917 he was a professor at Princeton University. From 1917 – 1924 he was professor at the U.S. Naval Academy in Annapolis, Maryland. In 1926 Dederick began working for the U.S. Army, Ordnance. During his time there he was the Associate Director of the Ballistic Research Laboratory at the Aberdeen Proving Grounds in Aberdeen, Maryland where he focused on ballistics research.

While Dederick worked as a mathematician at the Aberdeen Proving Grounds, he was involved with …