Digital Commons Network^™

Digraph And Graph Of Regular Rings With Some Properties, Shahla Moayad Kaleel, Haitham Nashwan Mohammed, Ahmad Mohammed Alghamdi, Ahmed Mohammed Ali, Eman Sultan Almotairi

Baghdad Science Journal

During this century, a new research trend has emerged wherein algebraic concepts are combined with graph theory, such as zero divisors, clean rings, ideals, and regular rings. Continuing this trajectory, the regular ring graph has been studied in two forms: the undirected graph and the directed graph. The vertex set consists of all regular elements in the ring ℜ, denoted by ℜ(ℜ), where the undirected graph is denoted by Γ(ℜ(ℜ)) and the directed graph by Ψ(ℜ(ℜ)). This study focuses on the rings Z_n, where n = q, q², or 2q, and q is a prime number. In …

Coefficient Bounds For A New Subclass Of Meromorphic Multivalent Functions With Higher Derivatives Obtained From Bessel Function, Ali Musaddak Delphi

Baghdad Science Journal

The goal of this paper is to introduce a new subclass of meromorphic multivalent functions with higher derivatives inside a punctured open unit disk U*, by generalizing the Bessel function. The method used to derive the new findings on this topic is stated in section two of this paper. The product theorem between two functions and neighborhood properties was obtained using the recently discovered coefficient bounds for the new subclass. In addition, this paper attempted to address an important research gap in the subject of geometric function theory, which is the computational tools for coefficient bounds through the use …

Quasi-Mixing C0-Semigroups And Their Relations With Recurrent C0-Semigroups, Mansooreh Moosapoor, Otmane Benchiheb

Baghdad Science Journal

This article presents and investigates the concept of the quasi-mixing C₀-semigroups. It is proved that the quasi-mixing of an invertible C₀-semigroup is equivalent to the quasi-mixing of its inverse. The quasi-mixing vectors are defined and they are used to prove a sufficient condition for the quasi-mixing. It is established that the quasi-mixing of a C₀-semigroup is equivalent to the quasi-mixing of any of its discretizations. The quasi-mixing of a C₀-semigroup ( T_t )_{t ≥ 0}, as it is demonstrated by this study, implies the quasi-mixing for each operator T …

Evaluation Of Home Loan Candidates Using Energy And Laplacian Energy In Hesitancy Fuzzy Zagreb Matrices, A. Abinaya, G. Deepa

Baghdad Science Journal

A hesitancy fuzzy graph is a type of generalized fuzzy graphs that reflects reluctance or uncertainty in interactions by assigning a variety of potential membership values rather than a single value to each vertex and edge. It offers an adaptable framework for simulating intricate systems with ambiguous, reluctant, or imperfect input. Topological measurements that capture and characterize a graph's structural features are called Zagreb indices, and they are obtained from vertex degrees. Although Zagreb indices and graph energies have been studied for intuitionistic fuzzy graphs, fuzzy graphs, and classical graphs, no work has been done to apply these ideas to …

Approximation In S-Normed Orlicz Spaces, Zainab Abdulmunim Sharba, Hawraa Abbas Almurieb, Samah Alhashemi

Baghdad Science Journal

Orlicz spaces generalize conventional Lebesgue spaces, providing a more flexible framework for analyzing functions. They are essential to functional analysis and related fields, particularly in approximation theory. This paper defines an Orlicz normed space equipped with an S-norm, where S is an outer function that satisfies certain conditions. Introducing norms via the outer function S is a general method that encompasses many cases of norms in Orlicz spaces. The relationship between S-norm and other norms on Orlicz spaces is established through several equivalences. Moreover, moduli of smoothness are of great interest in approximation theory, as they provide criteria …

Numerical Study Of The Effect Of Embedded Radiation On Fluid Flow And Heat Transfer In A Porous Medium, Shaymaa M. Younus, Iman Al-Obaidi

Baghdad Science Journal

This takes a look at ambitions to investigate the two-dimensional flow pattern of fluids in a conductive medium constrained between two parallel horizontal plates under the influence of embedded radiation. The mathematical model is based entirely on the flow equations, including the continuity, momentum, energy, and diffusion equations. The machine is solved numerically the usage of the specific finite difference approach (ADE) to investigate the conduct of drift, temperature, and mass transfer below radiative outcomes. The study specializes in the impact of key dimensionless parameters, including the Reynolds number, Darcy number, Grashof number, Péclet number, radiation parameter, mixed radiation, and …

Some Results In Maximal Pattern Complexity, Casey Schlortt

Electronic Theses and Dissertations

For a finite alphabet 𝒜 and a sequence 𝑥 ∈ 𝒜^ℕ_⊬ , Kamae and Zamboni combined the ideas of block complexity and topological sequence entropy to define the maximal pattern complexity, 𝑝^∗_𝑛 (𝑥). They defined an aperiodic sequence 𝑥 over two letters as pattern Sturmian if it had the lowest possible maximal pattern complexity, 2𝑛. Later, Kamae and Rao extended their definition of pattern Sturmian sequences to be sequences over ℓ ≥ 2 letters which are not periodic by projection and have maximal pattern complexity ℓ𝑛.

This dissertation answers a question posed by Kamae and Zamboni …

Social Media Is A Juggernaut: Lagged Correlation Analysis Using Ngram Data On “Internet” And “Social Media” With Amplification By The Advent Of The “Iphone”, William Zywiak, Gao Niu, Nicolas Petrell, Victoria Nichele, Kirsten Hokeness

Mathematics and Economics Faculty Journal Articles

The amount of new information transmitted per day can be overwhelming. The data available through Ngram Viewer allows statistical examination to determine the most salient topics, as well as lagged correlation and lagged variance to support possible causal connections between concepts. Using this database, we determined that COVID, crypto, microplastics, and especially social media are important topics of the last few years. We also present results that suggest the development of the internet and the iPhone fueled the prominence of social media, and the access of the iPhone also increased access to the internet.

Introduction To Mathematical Analysis Ii, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen

PDXOpen: Open Educational Resources

These lecture notes complement the book Introduction to Mathematical Analysis I, Third Edition, with sections on integration, numerical series, series of functions, and selected advanced topics. Together, both volumes support a one semester or two-quarter course on introductory mathematical analysis.

Adopt/Adapt

If you are an instructor adopting or adapting this PDXOpen textbook, please help us understand your use by filling out this form.

Effectiveness Of Tiered Supports In Mathematics, Dominique L. Brown

Dissertations

Mathematics proficiency has remained a persistent national challenge, with many students failing to meet grade-level expectations. This mixed-methods program evaluation examined the effectiveness of mathematics intervention strategies within Multi-Tiered Systems of Support (MTSS) for students in Grades 3–8. Guided by utilization-focused evaluation, the study explored educator perceptions, implementation practices, and system-level challenges. Quantitative data were collected through an anonymous survey (n = 19), and qualitative data were obtained from one semi-structured interview. Descriptive statistics and inductive coding were used for analysis, with extant data providing contextual support. Findings indicated that small-group instruction was perceived as highly effective; however, inconsistencies in …

A New Hybrid Approach For Magnetohydrodynamic Flow Over A Stretching Surface With Nanofluid, Ammar Al-Salih, Abdul-Sattar Jaber Al-Saif

Baghdad Science Journal

The current investigation focuses on developing a semi-analytical technique aimed at estimating the solutions of magnetohydrodynamics flow with Casson tri-hybrid nanofluid (TiO₂ - SiO₂ - Al₂O₃/blood) flowing over a stretchable surface along two-dimensional space. To solve the obtained nonlinear coupled differential equations in the problem formulation, the proposed semi-analytical approach makes use of the Shehu reduced differential transform Padé method (SRDTPM). Several physical parameters, such as slip effect, porosity, magnetic strength, and Casson number, were considered for examining the effect on momentum, while radiation parameter, heat generation/absorption, temperature-dependent heat sink/source term, and Biot number …

Some Types Of Zagreb Indices For General Caterpillar Graph And Their Application In Property Predictions Of Molecules, Muayed Mehedi Fathi, Mohammad Shaker Ahmed, Muhammad Kamran Jamil, Ahmed Mohammed Ali

Baghdad Science Journal

Topological indices in graph theory are considered a very important topic because of its practical importance in some branches of sciences, especially in chemistry, physics and networks, because they are closely related to chemical properties and physical properties, including boiling point, melting point, vapor pressure, molar volume etc. There are several types of topological indices, the most important of which are the indices that depend on the degrees of vertices, especially adjacent or non-adjacent vertices. The Zagreb indices for adjacent vertices and non-adjacent vertices, multiplicative and eccentricity for adjacent vertices in a connected simple graph are considered topological indices that …

Classification Of Phishing Data Using Hybrid Mi-An Feature Selection Method, Damodar Patel, Amit Kumar Saxena, Wutiphol Sintunavarat, Abhishek Dubey

Baghdad Science Journal

Web phishing attacks have been continually evolving over the past few years, which has led customers to lose their trust in online services and e-commerce. To identify phishing data, a variety of methods and systems based on a blacklist of phishing websites are used. However, the rapid development of technology has given rise to increasingly complex techniques for creating user-attracting websites. Therefore, current blacklist-based techniques are unable to identify the recently launched phishing data, such as zero-day phishing websites. Machine learning techniques have been used in several recent studies to detect phishing data and function as an early warning system …

New Generalizations Of Pairwise Lindelöf Spaces, Hana M. Binshahnah, A. K. Mousa

Baghdad Science Journal

This study is introducing two new different pairwise related to Lindelöf bitopological spaces. Lindelöf spaces are among of the most important topological spaces with important applications in various branches of mathematics. Therefore, many studies on Lindelöf topological spaces and pairwise Lindelöf bitopological spaces were presented in previous papers. However, those two new pairwise Lindelöf bitopological spaces are more general than what has been studied before. Therefore, the study defines a new pairwise interior operator and a new pairwise closure operator, furthermore, it reviews their characteristics where the researchers provide new strongly pairwise axioms (the strongly pairwise regular and the strongly …

Generalization Of Prolla's Theorem In Approximation, Nadia M. J. Ibrahem, Salwa Salman Abed, Shaimaa S Albundi

Baghdad Science Journal

The principal factor in the proofs of many so-called intersection results and associated best approximation theorems—such as the famed Brouwer fixed-point theorem) is Knaster-Kuratowski-Mazurkiewicz theorem (KKM), which was extended from R^l to Hausdorff vector spaces by Ky Fan. This kind of theory necessitates introducing some form of abstract convex structure on a topological space. In both pure and applied mathematics, the theory of approximation plays a central role. The connection between best approximation and fixed-point theory provides a powerful tool for analyzing the nonlinear maps, the convergence of iterative processes, and the solving of variational …

Traveling Wave Fronts For Sir Epidemic Models With Nonlocal Dispersal And Delayed Effects, Ashley Evette Embry

Theses and Dissertations

This dissertation investigates traveling wave solutions for two classes of delayed nonlocal dispersal susceptible--infected--recovered (SIR) epidemic models incorporating biologically realistic mechanisms such as delayed infectivity, delayed dispersal, nonlocal transmission, demographic turnover, and nonlinear incidence effects. These models extend classical spatial epidemic frameworks by allowing long-range population movement through nonlocal dispersal operators and incorporating temporal memory into both diffusion and transmission processes. The primary objective is to establish the existence of traveling wave solutions connecting disease-free equilibria to endemic states and to characterize threshold conditions governing epidemic propagation. The simultaneous presence of nonlocal dispersal, multiple delays, and non-monotone nonlinear incidence terms …

1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, ..., Annemarie Torresen

Masters Theses

1

I invite you to see it and feel it and sit in it and breathe it in and

hold it in your lap. Art isn’t too scary, and neither is math.

2

bouncing between bounds of a binary

bippity boppity! let’s break brains and bread

balance or belly flop, what’s mine is yours:

bumptious and bumbling and barely able

i offer it broken and let you like it that way

From The Classroom To Careers: A Quantitative Analysis Of High School Longitudinal Data Examining How Culturally Responsive Teaching Shapes Mathematics Achievement, Stem Aspirations, And Early Stem Workforce Entry Among Students Of Color, Francisco Velez

Seton Hall University Dissertations and Theses (ETDs)

Abstract

This dissertation examines how culturally responsive teaching shapes mathematics achievement and STEM outcomes for high school students of color using data from the High School Longitudinal Study of 2009 (HSLS:09). Culturally responsive teaching, grounded in theories of cognition, sociocultural learning, and asset-based pedagogy, emphasizes instruction that validates students’ cultural identities, connects academic content to lived experiences, and fosters deeper engagement and academic confidence. Despite substantial qualitative evidence supporting culturally responsive teaching, large-scale quantitative studies remain limited. To address this gap, this study developed a composite measure of culturally responsive teaching using teacher-reported HSLS:09 indicators aligned with key dimensions of …

Exploring Student And Teacher Perceptions Of Building Thinking Classrooms In Secondary Mathematics, Savanna Wolff

Masters of Education in Teaching and Learning

This action research study examined the perceived impact of a Building Thinking Classrooms framework on student engagement and participation in small-group discussion. The guiding research question explored both student and teacher perceptions of how the framework influenced classroom engagement. Data was collected through surveys, one-on-one interviews, focus group interviews, and classroom observations over a four-week period. Qualitative analysis identified four key themes: student agency and mathematical identity; mathematical communication and thinking; collaboration and group dynamics; and learning environment, structure, and engagement. Findings suggest that both students and the teacher perceived an increase through Building Thinking Classrooms in student engagement by …

Monotone Traveling Waves In A General Discrete Model For Populations With K-Generation Long-Term Memory, Austin Kernel Sanders

Theses and Dissertations

We investigate the spatial dynamics of a population modeled by a general discrete integrodifference equation incorporating k-generation long-term memory. While classical models rely solely on the im- mediately preceding state to determine population growth and dispersal, introducing multiple past states causes the associated evolution operator to lose compactness. Consequently, standard fixed- point theorems are insufficient to prove the existence of traveling wave solutions. We overcome this difficulty by constructing a time-independent moving frame operator and employing the monotone iteration method. By assuming the fecundity function is locally Lipschitz, bounded, and nondecreasing on a specified interval, and by relaxing continuity requirements …

Benefits Of A Teacher Created Mathematics Resource Website For Teachers And Students, Callista Hull

Honors Theses

For my Honors College capstone project, I created a math resource website for teachers and students. I chose to develop this website because often resources available for teachers to use for student support are not always linked to state standards, so developing a website with resources linked directly to state standards made sense to me. Resources are plentiful for teachers and students but they are not always exactly what teachers need because they are not directly linked to a state standard. This led me to my idea to create a resource that would be easily accessible, beneficial, and helpful to …

Trees Determined By Their Distance Laplacian Matrix, Devin Doherty, Claire Heitman, Skylar Mcleod, Aidan Crossler, Claire Schindler

Linfield University Student Symposium: A Celebration of Scholarship and Creative Achievement

Graphs can be encoded into a matrix according to some rule. The eigenvalues of the matrix are used to understand the structural properties of graphs. If two graphs share a set of eigenvalues, they are called cospectral. A tree is a graph with no cycles, and for most matrix representations, almost all trees have a cospectral mate. The distance Laplacian matrix is found by subtracting the distance matrix from the diagonal transmission matrix. There is an open conjecture that trees, for their distance Laplacian matrices, do not have a cospectral mate and are therefore spectrally determined. We show that a …

Enhancing Hope In Mathematics From An East African Perspective, Howard Omukami

Institute for Educational Development, East Africa

No abstract provided.

Prism: Priming Relationships In Syntax And Mathematics, Michelle J. Zhu

Honors Scholar Theses

The implementation of sheltered education programs has become increasingly prevalent in schools as new research in second language acquisition emerges. Yet despite this growing attention to ESL instructional practice, far less is known about the cognitive processes that underlie how bilingual students engage with academic content. This study investigates cross-domain structural priming between mathematical and linguistic processing in monolingual and bilingual individuals, focusing on how bilingual experience influences syntactic attachment preferences. Prior research suggests that mathematical and linguistic structures share underlying cognitive representations, and that exposure to structures in one domain can influence processing in another. Additionally, bilingualism has been …

Intersectionality And Belonging: Higher Education Mathematics, Ashley Natalie

Mathematics and Statistics

Students with intersecting marginalized identities (such as race, gender, socioeconomic status, disability, or first-generation background) often face unique challenges in advanced mathematics that affect confidence, participation, amounting to a sense of belonging. These experiences remain underrepresented in mathematics education research. This qualitative, narrative-based study examines how these students experience classroom dynamics and belonging in upper-level mathematics courses. Semi-structured interviews will be analyzed thematically to identify patterns related to identity, classroom culture, instructor behavior, and peer interactions. Findings aim to highlight barriers and supportive practices, informing more inclusive teaching strategies and equitable learning environments in advanced mathematics.

Intersectionality And Belonging: Higher Education Mathematics, Ashley Williams

Mathematics and Statistics

Students with intersecting marginalized identities (such as race, gender, socioeconomic status, disability, or first-generation background) often face unique challenges in advanced mathematics that affect confidence, participation, amounting to a sense of belonging. These experiences remain underrepresented in mathematics education research. This qualitative, narrative-based study examines how these students experience classroom dynamics and belonging in upper-level mathematics courses. Semi-structured interviews will be analyzed thematically to identify patterns related to identity, classroom culture, instructor behavior, and peer interactions. Findings aim to highlight barriers and supportive practices, informing more inclusive teaching strategies and equitable learning environments in advanced mathematics.

A Guided Curriculum Approach To Supporting Critical Thinking And Mathematical Readiness In Ib Physics, Samantha Killeen

Masters Projects

The purpose of this project is to address the problem that many students lack the critical thinking and mathematical reasoning skills required to be successful in rigorous STEM courses like IB Physics. While students may perform well in mathematics courses, they often struggle to transfer those skills into physics contexts that require conceptual understanding and problem-solving. These challenges have been intensified by academic tracking in mathematics pathways, post-pandemic learning loss, and increased dependence on technology, which have reduced the opportunities for productive struggle in the classroom. As a result, students frequently enter IB Physics unprepared for the pace and rigor …

Bibliography Of Religious Faith And The Mathematical Sciences, Calvin Jongsma

Faculty Work Comprehensive List

This Bibliography is offered as a helpful resource for anyone who wishes to thoughtfully explore the connections between religious faith and the mathematical sciences. Searching the database for a topic of interest will bring up items with that focus. An entry’s attached PDF (when publicly available) can be opened and read while in the database. Alternatively, each item contains a URL/web link to a location where one can either read the item or retrieve information about how to obtain a copy of it.

Predicting Middle School Students’ Attitude Towards Mathematics By Race And Biological Sex After Participating In Open Up Resources Mathematics Curriculum: A Quantitative Study, Sharonna Laquenette Howell

Doctoral Dissertations and Projects

The purpose of this quantitative predictive correlational design study was to examine how well race/ethnicity and biological sex predict students’ attitudes toward mathematics among middle school students following participation in the Open Up Resources mathematics curriculum. By conducting this study, the researchers filled a gap in the literature by determining whether the use of the Open Up Resources mathematics curriculum, race, and biological sex predicted students' attitudes toward mathematics. Research on the impact of K-12 Open Education Resources curricula on students’ attitudes toward mathematics was lacking. Participants in this study included middle school students in a North Carolina school district. …

Massively Parallel Kalman Filtering: Scaling State Estimation Via Cuda Kernels, Joseph Campione, Peter Chim, Hannah Depuydt, William Johnston, Jackson Phillips, Brian White

Mathematics & Computer Science Student Scholarship

This project addresses the challenge of state estimation in real-world conditions by fusing data from multiple sensors using the Kalman Filter. To ensure numerical stability, we use the Joseph Form covariance update, which guarantees valid results but introduces significant computational overhead due to its complexity. To overcome this limitation, we implement a parallelized solution using custom CUDA kernels on a GPU, distributing matrix operations across thousands of threads rather than relying on sequential CPU execution. Through systematic benchmarking across matrix sizes ranging from 4×4 to 4096×4096, we identify a crossover region where GPU performance surpasses CPU efficiency. This work shows …