On the novel existence results of solutions for a class of fractional boundary value problems on the cyclohexane graph

A branch of mathematical science known as chemical graph theory investigates the implications of connectedness in chemical networks. A few researchers have looked at the solutions of fractional differential equations using the concept of star graphs. Their decision to use star graphs was based on the assumption that their method requires a common point linked to other nodes but not to each other. Our goal is to broaden the scope of the method by defining the idea of a cyclohexane graph, which is a cycloalkane with the molecular formula $C_{6}H_{12}$ C 6 H 12 and CAS number 110-82-7. It consists of a ring of six carbon atoms, each bonded with two hydrogen atoms above and below the plane with multiple junction nodes. This article examines the existence of fractional boundary value problem’ solutions on such graphs in the sense of the Caputo fractional derivative by using the well-known fixed point theorems. In addition, an example is given to support our key findings.

Some Hermite–Hadamard-Type Fractional Integral Inequalities Involving Twice-Differentiable Mappings

The theory of fractional analysis has been a focal point of fascination for scientists in mathematical science, given its essential definitions, properties, and applications in handling real-life problems. In the last few decades, many mathematicians have shown their considerable interest in the theory of fractional calculus and convexity due to their wide range of applications in almost all branches of applied sciences, especially in numerical analysis, physics, and engineering. The objective of this article is to establish Hermite-Hadamard type integral inequalities by employing the k-Riemann-Liouville fractional operator and its refinements, whose absolute values are twice-differentiable h-convex functions. Moreover, we also present some special cases of our presented results for different types of convexities. Moreover, we also study how q-digamma functions can be applied to address the newly investigated results. Mathematical integral inequalities of this class and the arrangements associated have applications in diverse domains in which symmetry presents a salient role.

Ontology and practice of teaching in mathematics at higher and secondary schools

Discussed are problems of modern mathematical education: the development of the conceptual apparatus of mathematics, as well as the development of thinking in modal categories when proving mathematical propositions and solving probabilistic problems. The work is based on the results of the explication of the ontological foundations of mathematics obtained earlier. It is shown that the basis of a holistic, deep perception of the mathematical laws of being is categorical intuition with subsequent rationalization of mathematical objects. It is emphasized that such objects are not always possible to describe by means of extensional logic: an important place in the categorical structuring of mathematical knowledge is occupied by ontic modalities of the necessary and possible. The author expresses concern about the tendency of algorithmization of mathematical thinking in the learning process as opposed to historically established methods of creative search for proofs, alternatives, and opportunities. Special attention is paid to the topic of the teacher’s implementation of the ideological and educational function of mathematical science. Taking into account the enormous development of computing and information technologies, it is necessary to remember about the anthropological and humanitarian components of modern science and education. In substantiation of the relevance and discussion of the raised issues, the points of view of specialists from various fields are given: mathematicians, historians, teachers. This article is addressed to a wide range of readers: scientists, teachers, graduate students, freelance researchers.

Role of Effective Communication in Enhancing Leadership Skills Among Students of Bachelor of Management Mathematics in UiTM Perlis

Communication is the most important key factor for a student to lead effectively because it helps them to express their opinion. Some students are struggling to socialise with other students due to a lack of communication skills. It is important for students to have effective communication because it helps them develop their leadership skills and can also improvise their self-confidence. The purpose of this study was to identify the level of effective listening, performing tasks completely and effectively, clarity of thought and expression, and leadership skills, to assess the significant difference of demographic variables (gender, age, and semester) on effective listening, performing tasks completely and effectively, clarity of thought and expression and leadership skills, to determine the relationship between effective listening, performing tasks completely and effectively, clarity of thought and expression and leadership skills, and lastly to examine whether effective listening, performing tasks completely and effectively, clarity of thought and expression relate toward leadership skills. The random sample of 155 respondents is from the Faculty of Computer and Mathematical Science (FSKM) at UiTM Perlis. To achieve all the objectives, the researcher has chosen to apply the frequency test, the independent t-Test, the one-way ANOVA, the correlation, and regression performed by the Statistical Package for Social Sciences Version 20.0. (SPSS). Based on the findings, there is a positive relationship between the role of effective communication and leadership skills, but a great deal of determination is still needed to establish leadership criteria among undergraduates, as a few students have not been aware of the importance of leadership skills in their future careers. Moreover, the analysis shows that clarity of thought and expression are the most important roles that contribute to leadership skills. The role of effective communication in enhancing leadership skills among university students must be properly studied so that students can develop their ability to soon become major leaders.

Some Notes on a Formal Algebraic Structure of Cryptology

Cryptology, since its advent as an art, art of secret writing, has slowly evolved and changed, above all since the middle of the last century. It has gone on to obtain a more solid rank as an applied mathematical science. We want to propose some annotations in this regard in this paper. To do this, and after reviewing the broad spectrum of methods and systems throughout history, and from the traditional classification, we offer a reordering in a more compact and complete way by placing the cryptographic diversity from the algebraic binary relations. This foundation of cryptological operations from the principles of algebra is enriched by adding what we call pre-cryptological operations which we show as a necessary complement to the entire structure of cryptology. From this framework, we believe that it is improved the diversity of questions related to the meaning, the fundamentals, the statute itself, and the possibilities of cryptological science.

Personality Traits and Entrepreneurial Intention: Mediating Effect of Educational Support in Public Higher Education

The purpose of this paper was to examine the influence of personality traits (agreeableness, conscientious, neuroticism, openness and extraversion) on entrepreneurial intention and to assess the mediating role of educational support on the relationships between personality traits and entrepreneurial intention. A total of 1000 students at Universiti Teknologi MARA Cawangan Kelantan (UiTMCK) were randomly selected. Questionnaire was distributed to various faculties such as the Faculty of Business & Management, Faculty of Accountancy, Faculty of Computer & Mathematical Science, and Faculty of Information Management and Art & Design. A total of 800 responses were collected and 753 of the responses were useable for the final analysis using the structural equation model partial least square (SEM-PLS 3.0). The findings revealed that agreeableness, conscientious, neuroticism, and extraversion have a significant influence on entrepreneurial intention but openness showed an insignificant influence. Besides, this study also found that educational support did not mediate the relationships between agreeableness, conscientious, neuroticism, openness and extraversion. Keywords: personality traits, entrepreneurial intention, educational support

WHY ECONOMICS IS AN EVOLUTIONARY, MATHEMATICAL SCIENCE: HOW COULD VEBLEN’S VIEW OF ECONOMICS HAVE BEEN SO DIFFERENT THAN PEIRCE’S?

More than a century ago, one of the most famous essays ever written in American economics appeared in the Quarterly Journal of Economics: “Why is Economics Not an Evolutionary Science?” There, Thorstein Veblen claimed that economics was too dominated by a mechanistic view to address the problems of economic life. Since the world and the economy had come to be viewed from an evolutionary perspective after Charles Darwin, it was rather straightforward to argue that the increasingly abstract mathematical character of economics was non-evolutionary. However, Veblen had studied with a first-rate intellect, Charles Sanders Peirce, attending his elementary logic class. If Peirce had written about the future of economics in 1898, it would have been very different than Veblen’s essay. Peirce could have written that economics should become an evolutionary mathematical science and that much of classical and neoclassical economics could be interpreted from an evolutionary perspective.

PENGEMBANGAN LEMBAR KERJA PESERTA DIDIK MENGGUNAKAN SOFTWARE GEOGEBRA PADA MATERI TRANSFORMASI GEOMETRI

Geometry is a mathematical science that studied points, lines, planes, spaces, and the relationships of them. One of the topic is geometric transformation. The Several research found that students hadn’t understood the concept of transformation, so that it needed a teaching material especially student’s worksheet. The research aimed to develop valid, practical and effective student’s worksheet with GeoGebra on the geometry transformation in junior high school. The research method was used R&D (Research and Development) using a modification of the 4-D model. The development model consists defined, designed and developed. The results of the research indicated that (1) this product was valid according to media experts and material experts, (2) it was practical, (3) effective to be used in mathematics learning, especially geometric transformation.