Fields Of Mathematics Research Articles

Exploring Women Journey And Factors That Act As Glass Ceiling On Women In Getting Into Senior Management: A Literature Review

The literature review indicates that the progression of women in many fields in getting into senior management has been growing very slow. Men are still dominant in numbers when it comes to such positions, for example in the construction industry, men are still dominant in construction industry due to the fact that the working conditions of the construction environment(s) are dangerous to conduct work on and the culture of hard labor altogether with long working hours deprive women an opportunity to flourish in such environments. Therefore, there is a need to interpolate such industries into novel models and transform them into advanced state for all. Subsequently, the literature postulates that there is a need for more women to study Science, Technology, Engineering and Mathematics (STEM) fields further to be able serve in senior management positions. However, many organizations need to have women empowerment programs for those who exhibit the attributes to serve in senior management/leadership positions with the inclusion of capable women. Senior women need to mentor and train junior women within permissible structures of organizations. The literature suggests that the gap between the two genders when it comes to senior management is great apart even though women are perceived to have skills to serve in those positions. Thus, there is a need for more studies focusing on how to minimize this gender disparity as most of the studies are centric in the disparity of the two genders rather than establishing the cause and proposing solutions. Therefore, the research proposes that a new model for numerous industries ought to be generated in order to exterminate this exacerbating effect.

Women and Minorities in Science, Technology, Engineering, and Mathematics (STEM): Evidence From Trinidad and Tobago

Using a quantitative research approach, this study aims at investigating the wage returns and the gender wage gap of Trinidad and Tobago’s minority groups in Science, Technology, Engineering, and Mathematics (STEM) fields. To do this, data from the Continuous Sample Survey of Population (CSSP), for the period 1991–2015, is used to estimate a Mincerian earnings function via the quantile regression method, after which the standard Oaxaca–Blinder Decomposition method is employed to decompose the wage differentials. This analysis revealed that regardless of ethnic class (i.e. minority group [persons who are of mixed, white, Syrian/Lebanese, Chinese, and other heritage] or majority group [persons of an Indian and African heritage]), there are more men trained in STEM than women. While the average earnings of female minority workers in STEM are higher than that of male minority workers, the earnings of male majority workers are higher than that of female majority workers. The gender wage gap between minority workers in STEM appears to be much more prominent (9.8%) than that of majority workers (8.5%). This implies that the issue of gender inequality in STEM is more pronounced amongst minority workers in Trinidad and Tobago.

Heutagogy in Action: Empowering Mathematics Teachers Through Innovative Pedagogical Approaches

As a result, mathematics teachers are prompted to focus on the heutagogical approach. However, challenges arise, like inadequate training and support among mathematics teachers. Thus, this study concentrated on formulating a series of teaching activities aligned with the heutagogical approach, specifically tailored to assist mathematics teachers in enhancing their teaching methods. This study was conducted using the Fuzzy Delphi Method (FDM) involving 15 experts with various fields of expertise such as mathematics education, educational technology, heutagogy, pedagogy and the curriculum as well as primary and secondary school mathematics teachers. The data was collected from October 2023 to November 2023 by using a questionnaire as the primary means of collecting data. Findings were analysed using triangular fuzzy number, threshold value, percentage for expert consensus and defuzzification process to determine the acceptance and ranking for each teaching activity. The results indicate that teachers assign projects that require students to explore real-world applications of mathematical concepts, were ranked first, followed by other activities, while teachers arrange virtual sessions with guest speakers from the mathematics field to provide insights to real-world applications were ranked last. In conclusion, this study offers valuable insights for mathematics teachers interested in enhancing student-centered learning within the framework of Education 4.0.

Redefining academic trajectories: A comprehensive analysis of the factors and impacts of the gender gap in STEM higher education

Purpose The purpose of this study is to critically analyze the key factors contributing to gender disparities in the science, technology, engineering and mathematics (STEM) fields and propose creative solutions to mitigate these differences. Despite the significance of this issue, it has not received sufficient attention owing to the absence of clarity regarding the factors that exacerbate the gender gap. Design/methodology/approach This study used a qualitative methodology that combined the viewpoints of social psychology and educational research to pinpoint and evaluate essential elements. Using a grounded theory approach, semistructured interviews were analyzed, and the obtained data were coded and categorized using ATLAS.ti software. Findings This qualitative research identified three key areas: internal and external factors influencing the gender gap, as well as strategic actions within higher education to address these disparities. The innovative contribution of this study lies in its development of a comprehensive theoretical framework that enables the diagnosis, quantification and understanding of these factors and proposes practical measures to mitigate these gender disparities. By promoting greater gender diversity, the proposed model can contribute to more inclusive and sustainable development, which is consistent with the 2030 agenda. Originality/value This study highlights the need for a multidimensional approach to address the gender gap in higher education, fills a crucial knowledge gap and provides a theoretical model to guide effective university policies.

Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment

Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focused on the analysis of data consisting of a single entity (e.g., cells or molecular species). However, state-of-the-art data collection techniques now generate exquisitely detailed multispecies data, prompting a need for methods that can examine and quantify the relations among them. Such heterogeneous data types arise in many contexts, ranging from biomedical imaging, geospatial analysis, to species ecology. Here, we propose two methods for encoding spatial relations among different data types that are based on Dowker complexes and Witness complexes. We apply the methods to synthetic multispecies data of a tumor microenvironment and analyze topological features that capture relations between different cell types, e.g., blood vessels, macrophages, tumor cells, and necrotic cells. We demonstrate that relational topological features can extract biological insight, including the dominant immune cell phenotype (an important predictor of patient prognosis) and the parameter regimes of a data-generating model. The methods provide a quantitative perspective on the relational analysis of multispecies spatial data, overcome the limits of traditional PH, and are readily computable.

Towards a Better Transition to University: A Student-Centric Welcome Day for the New Undergraduate Students in a Mathematics Department

This case study delves into a Welcome Day event organised by the Department of Mathematical Sciences at a UK university for the incoming first year students in the department. This report reflects some of the practicalities and the evaluation of the event. The event, primarily focused on student engagement activities along with reduced amount of traditional presentations, was aimed at facilitating peer networking and smoothing the transition from school to university, hence nurturing a sense of belonging within the student community. The structure of the event was crafted to align with the department's unique ethos, with an emphasis on activities that resonate with the field of mathematics. Evaluation of the event is done based on the responses from the students during the event via an online questionnaire. The event not only demonstrated high levels of student satisfaction but also served as a good example of department-specific orientation programs. These localized events can complement university-wide initiatives, offering a more tailored setting for new students to acclimate to their specific academic environment. This paper has the prospect to guide others and to reinforce the notion of seeking to tailor welcome days to match the needs of new cohorts.

Wijsman and Wijsman Randomly Triple Ideal Convergence Sequences of Sets in Probabilistic Metric Spaces

Many authors have extended the concept of convergence from number sequences to sequences of sets. In this paper, we focus on two notable adaptations: Wijsman convergence and randomly ideal convergence. We introduce and analyze several new types of convergence for sequences of sets: IψW3-convergence, I∗,ψW3-convergence, IψW3-Cauchy, I∗,ψW3-Cauchy, (IψW3, IψW)-convergence, and (I∗,ψW3, I∗,ψ)-convergence. These new concepts expand the framework of convergence and provide a deeper understanding of the behavior of set sequences under various conditions. Through rigorous analysis, we demonstrate the relationships between these new forms of convergence and their classical counterparts, highlighting their theoretical significance and potential applications in mathematical analysis and related fields. Our findings offer a comprehensive exploration of these advanced convergence concepts, paving the way for further research and development in this area.

Pentagoning the Circle with Straightedge & Compass

This study idea came from the exact solution “Circling the Regular Pentagon with Straightedge & compass in Euclidean Geometry”, published by the Scholars Journal of Physics, Mathematics and Statistics on 22/08/2024 [1]. In this research, the ANALYSIS method is adopted to prove the process of solving this new challenge problem, which has not existed in the Mathematics field till today. The process is an inverse/converse solution solving the inverse problem “Circling the Regular Pentagon with Straightedge & compass in Euclidean Geometry” problem, using a straightedge & a compass. I hereby commit that this is my own personal research project.

The Gender-Equality Paradox in Intraindividual Academic Strengths: A Cross-Temporal Analysis.

Independent of overall achievement, girls' intraindividual academic strength is typically reading, whereas boys' strength is typically mathematics or science. Sex differences in intraindividual strengths are associated with educational and occupational sex disparities in science, technology, engineering, and mathematics (STEM) fields. Paradoxically, these sex differences are larger in more gender-equal countries, but the stability of this paradox is debated. We assessed the stability of the gender-equality paradox in intraindividual strengths, and its relation to wealth, by analyzing the academic achievement of nearly 2.5 million adolescents across 85 countries and regions in five waves (from 2006 to 2018) of the Programme for International Student Assessment (PISA). Girls' intraindividual strength in reading and boys' strength in mathematics and science were stable across countries and waves. Boys' advantage in science as an intraindividual strength was larger in more gender-equal countries, whereas girls' advantage in reading was larger in wealthier countries. The results have implications for reducing sex disparities in STEM fields.

Al-Zughair Transform for Solving Ordinary Differential Equations with Constant Coefficients

Abstract—Ordinary differential equations (ODEs) are important in the field of mathematics due to their spread in various applications. Ordinary differential equations are of two types, one of which is equations with variable coefficients and the other is equations with constant coefficients. Many integral transforms have appeared that solve equations with variable coefficients, including Al-Zughair transform, which solves equations with variable coefficients, whose general formula is: In this paper our aim is to solve ordinary differential equations with constant coefficients by using Al-Zughair transform. Although Al-Zughair transform was only used to solve equations with variable coefficients, we were able to use it to solve ordinary differential equations with constant coefficients because of its important in solving more complex equations.

Community detection on elite mathematicians’ collaboration network

Abstract Purpose This study focuses on understanding the collaboration relationships among mathematicians, particularly those esteemed as elites, to reveal the structures of their communities and evaluate their impact on the field of mathematics. Design/methodology/approach Two community detection algorithms, namely Greedy Modularity Maximization and Infomap, are utilized to examine collaboration patterns among mathematicians. We conduct a comparative analysis of mathematicians’ centrality, emphasizing the influence of award-winning individuals in connecting network roles such as Betweenness, Closeness, and Harmonic centrality. Additionally, we investigate the distribution of elite mathematicians across communities and their relationships within different mathematical sub-fields. Findings The study identifies the substantial influence exerted by award-winning mathematicians in connecting network roles. The elite distribution across the network is uneven, with a concentration within specific communities rather than being evenly dispersed. Secondly, the research identifies a positive correlation between distinct mathematical sub-fields and the communities, indicating collaborative tendencies among scientists engaged in related domains. Lastly, the study suggests that reduced research diversity within a community might lead to a higher concentration of elite scientists within that specific community. Research limitations The study’s limitations include its narrow focus on mathematicians, which may limit the applicability of the findings to broader scientific fields. Issues with manually collected data affect the reliability of conclusions about collaborative networks. Practical implications This study offers valuable insights into how elite mathematicians collaborate and how knowledge is disseminated within mathematical circles. Understanding these collaborative behaviors could aid in fostering better collaboration strategies among mathematicians and institutions, potentially enhancing scientific progress in mathematics. Originality/value The study adds value to understanding collaborative dynamics within the realm of mathematics, offering a unique angle for further exploration and research.

Examining the Effects of Peer-Led Team Learning as a Support for Community College Transfer Students’ STEM Achievement

Peer-led Team Learning (PLTL) is a model of instruction and learning that has been used to address low success rates in various science, technology, engineering, and mathematics (STEM) courses and other fields in higher education. (1) While research conveying the efficacy of this model of instruction remains mixed, this project sought to add to the body of knowledge communicating the benefits of PLTL for STEM achievement. This study examined the experiences of STEM community college transfer students’ engagement in PLTL within their major course of study when a suite of supports was provided. (2) Specifically, study participants were enrolled in degree programs at a four-year rural, regional university in the engineering, computer science, and mathematics (ECSM) fields and were provided social, financial, and academic assistance. Qualitative analysis of the data revealed that with a PLTL component, community college transfer students were more likely to participate, engage, and perform better in coursework given the additional supports. (3) Study participants indicated the community of learners created through PLTL was a primary motivator for continued engagement and progress towards ECSM degree attainment. (4) Implications for practice extend to engagement and retention efforts of STEM students from the community college population

Multithreading-Based Algorithm for High-Performance Tchebichef Polynomials with Higher Orders

Tchebichef polynomials (TPs) play a crucial role in various fields of mathematics and applied sciences, including numerical analysis, image and signal processing, and computer vision. This is due to the unique properties of the TPs and their remarkable performance. Nowadays, the demand for high-quality images (2D signals) is increasing and is expected to continue growing. The processing of these signals requires the generation of accurate and fast polynomials. The existing algorithms generate the TPs sequentially, and this is considered as computationally costly for high-order and larger-sized polynomials. To this end, we present a new efficient solution to overcome the limitation of sequential algorithms. The presented algorithm uses the parallel processing paradigm to leverage the computation cost. This is performed by utilizing the multicore and multithreading features of a CPU. The implementation of multithreaded algorithms for computing TP coefficients segments the computations into sub-tasks. These sub-tasks are executed concurrently on several threads across the available cores. The performance of the multithreaded algorithm is evaluated on various TP sizes, which demonstrates a significant improvement in computation time. Furthermore, a selection for the appropriate number of threads for the proposed algorithm is introduced. The results reveal that the proposed algorithm enhances the computation performance to provide a quick, steady, and accurate computation of the TP coefficients, making it a practical solution for different applications.

ISLAM DAN ILMU PENGETAHUAN : REKOGNISI PENDIDIKAN ISLAM DI BARAT ABAD KLASIK

The development of education in the world is inseparable from the contributions of Islam, which has played a significant role in it. Consequently, Islam holds a legitimate position in terms of the quality of education, which should be acknowledged publicly as a marker that these contributions must be academically recognized. The contributions of Islamic education to the world can be seen from the scientific heritage of the medieval period when Europe and the Middle East were engaged in debates over reason. The presence of Islamic education had an impact on the process of classifying knowledge into rational ('aqliah) and transmitted ('naqliah) sciences. This classification led to the emergence of branches of rational sciences, including medicine, mathematics, sciences (physics, astronomy, and chemistry), and sosial sciences (economics, geography, and psychology). In the field of medicine, Abdullah Al-Hasan Bin Al Bin Sina, commonly known as Ibn Sina, emerged with his book "Al-Qanun fi at-Tibb." In the field of mathematics, Muhammad Bin Musa Al-Khwarizmi made significant contributions to algebra, trigonometry, algorithms, and the invention of the number zero, and authored the book "Mukhtasar fi Hisab Al-Jabr Wa’l Muqabala." In addition to his expertise in mathematics, he also had a deep understanding of astronomy, as reflected in his work "as-Sindhind." In the field of technology, Abu Al-Izz Ibn Ismail Ibn Razaz Al-Jazari.

Exploring the Effects of User-Agent and User-Designer Similarity in Virtual Human Design to Promote Mental Health Intentions for College Students

Virtual humans (i.e., embodied conversational agents) have the potential to support college students’ mental health, particularly in Science, Technology, Engineering, and Mathematics (STEM) fields where students are at a heightened risk of mental disorders such as anxiety and depression. A comprehensive understanding of students, considering their cultural characteristics, experiences, and expectations, is crucial for creating timely and effective virtual human interventions. To this end, we conducted a user study with 481 computer science students from a major university in North America, exploring how they co-designed virtual humans to support mental health conversations for students similar to them . Our findings suggest that computer science students who engage in co-design processes of virtual humans tend to create agents that closely resemble them demographically–agent-designer demographic similarity. Key factors influencing virtual human design included age, gender, ethnicity, and the matching between appearance and voice. We also observed that the demographic characteristics of virtual human designers, especially ethnicity and gender, tend to be associated with those of the virtual humans they designed. Finally, we provide insights concerning the impact of user-designer demographic similarity in virtual humans’ effectiveness in promoting mental health conversations when designers’ characteristics are shared explicitly or implicitly. Understanding how virtual humans’ characteristics serve users’ experiences in mental wellness conversations and the similarity-attraction effects between agents, users, and designers may help tailor virtual humans’ design to enhance their acceptance and increase their counseling effectiveness.

Some cases of explicit expression of the resulting field strength of magnets placed in the field of external sources

Formulas for calculating of the resulting magnetic field strength of magnets with a given magnetization distribution or given field of external sources are presented. We have collected exactly those cases where a user who does not have much experience in the field of computational mathematics and programming can perform calculations using these formulas. Namely, in these cases formulas for tension are mostly expressed in final form through elementary functions or require the use of one of the standard subroutines available in the library of any programming language. Such formulas can serve both as reference material and for solving corresponding problems with suitable real objects, as well as for determining optimal strategies and the optimal set of input parameters when using universal software packages and assessing the error of the results obtained.

Psychological Constructions in Influencing Female Intentions to Pursue Science, Technology, Engineering and Mathematics (STEM) Fields

Psychological Constructions in Influencing Female Intentions to Pursue Science, Technology, Engineering and Mathematics (STEM) Fields

Circling a Regular Pentagon with Straightedge and Compass in Euclidean Geometry

“Circling The Regular Pentagon” is possibly used to describe a new challenge problem that comes from the exact solution for another new challenge problem “Circling the SQUARE”, published in January 2024 in the International Journal of Mathematics Trends and Technology (IJMTT). "Circling The SQUARE" means constructing a circle that has the exact area of the given square”. Therefore, the “Circling the Regular Pentagon” problem challenge has not existed in the mathematics field until it is solved and published nowadays. This paper, then, provides an exact solution to construct a circle that has the same area as a given regular pentagon. The solution does not use the number  and suits the exact constraint of Euclidean Geometry by straightedge & compass.

Correspondence of Fixed-Point Theorem in \(T_2, T_3\)-SPACE

Fixed-point theory (FPT) has lot of applications not only in the field of mathematics but also in various other disciplines. Fixed Point Theorem presents that if T:X \(\to\) X is a contraction mapping on a complete metric space (X, d) then there exists a unique fixed point in X. FPT is also essential in game theory, in this case Brower Fixed Point has an application in game theory specifically in non-cooperative games and existence of Equilibrium. In particular, a game is a set of actions done by the participants defined by a set of rules. This is commonly described using mathematical concepts, which offers a concrete model to describe a variety of situations. On the other hand, the separation axioms Ti, i = 0,1,2,3,4 are vital properties that describes the topological spaces T0,T1,T2,T3 and T4. It is noted that a T3 - space is a generalized version of T2- space and since various results on application of fixed point theory in game theory on an arbitrary locally convex T2 - space has been established, in this study we sort to extend this concept to the general T3 - space. The utilization of a symmetric property of Hausdorff space established that if two continuous commutative mappings are defined on a T3 - space, then the two maps achieves unique fixed points.

A global argument-based algorithm for finding complex zeros and poles to investigate plasma kinetic instabilities

Root-finding is a common problem in various fields of physics and mathematics. The basic version of this problem can be formulated as an equation f(z)=0 where z∈ℂ and f is a meromorphic function on a complex plane ℂ. In some cases, a conjugated problem has to be solved as well to investigate the properties of the inspected system: f(z)−1=0. Iterative Householder-like methods show high convergence rate, however, the convergence itself is strongly dependent on the input parameters such as an initial guess. If the function f is complicated enough, there can be no prior information about its zeros and poles, and thus, no way to correctly pick the initial guess. The aim of the algorithm proposed in this article is to find all zeros and poles inside a selected region without any information about the local behavior of the function f. Additionally, the method is generalized to a parametric problem with continuous solutions: f(z)→f(z;p) where p∈Rd, d∈N∪{0}. The basis of the algorithm consists of a triangulation process and an implementation of the Cauchy’s argument principle to inspect the constructed subregions. The refinement process is accompanied by an absolute value gradient ∇ln|f| analysis that significantly decreases the number of points needed to correctly identify the locations of all zeros and poles. The algorithm is presented as a hybrid class for d∈{0,1} that can be directly used to solve corresponding problems.