Applied Mathematics Research Articles

Analisis Penerapan Dan Fungsi Algoritma Pemrograman Pada Komputer

Over time, the progress of science, technology and information is growing very rapidly. One of the things related to this problem is that the children of the nation must now master and study the developing science and technology. Utilizing science technology is now very important. The computer is one example of a technological tool that can be used. Regarding computers, we must first study in detail about programming algorithms that have applications and functions for us in education and everyday life. The purpose of writing this article is to examine the application and function of programming algorithms. Then the writing of this article use the literature study method and library research, namely by studying systematically and structured about programming algorithms. Data collection is done by online books or offline books, reputable scientific journals and sources from Google Scholar, Digital Library, website research and so on. The result of writing this article is that the application or presentation of programming algorithms can be seen in examples of application in mathematics. Writing an algorithm is not bound by a certain rule, but it must be clear what it means for each step of the algorithm. Many functions are very important in programming algorithms. The main function of programming algorithms is to solve a problem. This algorithm is an important thing in the activity of making a program.

An Alleged Tension Between non-Classical Logics and Applied Classical Mathematics

Abstract Timothy Williamson has recently argued that the applicability of classical mathematics in the natural and social sciences raises a problem for the endorsement, in non-mathematical domains, of a wide range of non-classical logics. We first reconstruct his argument and present its restriction to the case of quantum logic (QL). Then we show that there is no problematic tension between the applicability of classical mathematical models to quantum phenomena and the endorsement of QL in the reasoning about the latter. Once we identify the premise in Williamson’s argument that turns out to be false when restricted to QL, we argue that the same premise fails for a wider variety of non-classical logics. In the end, we use our discussion to draw some general lessons concerning the relationship between applied logic and applied mathematics.

Data Freshness in Information-update Systems: Modeling, Scheduling, and Tradeoffs

Brief Biography: Zhongdong Liu is a final-year Ph.D. student in the Department of Computer Science at Virginia Tech. He received his B.S. degree in Mathematics and Applied Mathematics with honors from Northeast Forestry University in 2016. His research interests are in the modeling, analysis, control, and optimization of complex network systems. His specific area of focus lies in analyzing and improving data freshness within real-time applications and services through the development of efficient scheduling algorithms. Zhongdong's research has been featured in notable publications, including IEEE INFOCOM, Proceedings of ICCCN (as an invited paper), IEEE Internet of Things Journal, and IEEE/ACM Transactions on Networking.

Applied mathematics in today’s education system in India

Applied mathematics plays a pivotal role in today’s education system in India, offering a dynamic approach to learning that bridges the gap between theoretical knowledge and real-world applications. This paper explores the significance and integration of applied mathematics within India’s contemporary education landscape. It delves into the evolving pedagogical strategies, curriculum enhancements, and the practical implications of applied mathematics in fostering critical thinking, problem-solving, and innovation among students. The first section of this paper provides an overview of the traditional mathematical education system in India and highlights the growing demand for applied mathematics skills in various industries. It emphasizes the need to adapt to the changing educational landscape by incorporating applied mathematics to equip students with practical abilities that align with modern workplace requirements. The second section explores the challenges and opportunities in implementing applied mathematics in Indian schools and higher education institutions. It addresses curriculum design, teaching methodologies, and the role of educators in making mathematics education more application-oriented. It also discusses the potential impact of applied mathematics in nurturing a workforce capable of addressing contemporary societal challenges. Furthermore, this paper examines the role of technology in facilitating applied mathematics education, with a focus on digital tools, simulations, and online resources that can enhance the learning experience. It emphasizes the importance of digital literacy and the integration of technology in mathematics classrooms. The final section assesses the outcomes and potential benefits of integrating applied mathematics in the Indian education system. It considers the impact on students’ problem-solving skills, employability, and their ability to contribute to research and innovation in STEM-related fields.

Оснащенное гиперполосное распределение аффинного пространства

A rigged hyperstrip distribution is a special class of hyperstrips. The study of hyperstrips and their generalizations in spaces with various fun­damental groups is of great interest due to numerous applications in mathematics and physics. A special place is occupied by regular hyper­strips, for which the characteristic planes of families of principal tangent hyperplanes do not contain directions tangent to the base surface of the hyperstrip. In this work, we use E. Cartan’s method of external differen­tial forms and the group-theoretic method of G. F. Laptev. In affine space, a hyperstrip distribution is considered, which at each point of the base surface is equipped with a tangent plane and a conjugate tangent line. The specification of the studied hyperstrip distribution in an affine space with respect to a 1st order reference and an existence theorem are given. The fields of affine normals of the 1st kind for Blaschke and Transon are constructed and the conditions for their coincidence are found. The definition of normal affine connection and normal centroaffine connection on the studied framed hyperstrip distribution is given.

Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications.

In this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-[Formula: see text] with q as the shape parameter. These surfaces, a generalization of Bézier surfaces, have applications in mathematics, computer-aided geometric design, and computer graphics for the surface formation and modeling. We analyze the timelike and spacelike cases of q-Bernstein-Bézier surfaces using known boundary control points. The mean curvature and Gaussian curvature of these q-Bernstein-Bézier surfaces are computed by finding the respective fundamental coefficients. We also investigate the shape operator dependency for timelike and spacelike q-Bernstein-Bézier surfaces in Minkowski space-[Formula: see text], and provide biquadratic and bicubic q-Bernstein-Bézier surfaces as illustrative examples for different values of the shape controlling parameter q.

The Mathematics-Language Proficiency: The Learners’ Perspecctive

Mathematics is considered a difficult school subject by majority of learners. For many learners, mathematics is a series of hurdles and challenges-a task made with continued failure and seeming irrelevance in spite of the value that mathematics plays in society. The effect of this has been unwilling class participation, disinterestedness, haphazard solving of mathematical tasks, plus low achievements and failure to communicate mathematics. The latter effect is important in application of mathematics in occupations such as building, construction, engineering and accounting. This state of affairs propagated the topic of the paper: “The Mathematics-Language Proficiency: The Learners’ Perspective”. The objective was to find out the nature of the relationship between proficiency in mathematics vocabulary and conceptual understanding of mathematics. The study drew on Vygotskian Socio-Cultural Theory (SCT) and used a multiple-case study design. The sample size of the study was 1353 participants comprising of 1339 form three learners and 14 mathematics teachers drawn from Sub-County Schools (SCS), County Schools (CS) and Extra-County Schools (ECS) in Bungoma South Sub- County. Data were collected by questionnaires, classroom observations and interviews. Analysis was done using Pearson correlation with two tailed tests for all the tests with a level of significance of 0.01. The study found out that there exists a strong positive relationship between mathematics vocabulary and conceptual understanding across all cases, that is, 0.798, 0.778 and 0.709 in SCS, CS and ECS respectively. Further learners were unable to interpret the meaning of some mathematics solutions after solving the question correctly. The study concluded that proficiency in mathematics vocabulary is necessary but not sufficient for conceptual understanding of mathematics. The study recommends learners to be supported in communicating mathematics ideas both verbally and in writing during mathematics lessons to broaden their conceptual understanding of mathematics.

A comparative study of game theory techniques for blind deconvolution

The aim of this study is to lay emphasis on the potential of the use of Game theory to deal with Blind image Deconvolution. We consider a static game of two players. Player one controls the image intensity while the player two controls the blur kernel. In this game each player aims at minimizing his own functional. The outcome of the game is a pair of strategies: a deblurred image and an estimation of the blur kernel, that minimizes two functionals. We determine the optimal image deblurring using two particular game theoretic approaches, recently introduced: the Nash method [Meskine D., Moussaid N., Berhich S. Blind image deblurring by game theory. Proceedings of the 2nd International Conference on Networking, Information Systems & Security (NISS '19). 31 (2019)] and the Kalai–Smorodinsky solution method [Nasr N., Moussaid N., Gouasnouane O. The Kalai Smorodinsky solution for blind deconvolution. Computational and Applied Mathematics. 41, 222 (2022)]. We evaluate the performance of two techniques through numerical experiments and using some objective quality metrics.

Partial Differential Equations in Applied Mathematics

Partial Differential Equations in Applied Mathematics

Analysis of Factors Influencing the Quality of Teaching Mathematics and Applied Mathematics under the Orientation of OBE Philosophy

Abstract Mathematics, recognized as a foundational subject, is marked by its high level of abstraction, rigorous logic, and extensive applicability, necessitating effective reforms. This article proposes a results-based teaching model for mathematics by integrating the Outcome-Based Education (OBE) concept with fundamental mathematical principles. The study utilizes a university in GD province as a case study to implement this OBE-based teaching model. Employing factor analysis and structural equation modeling, the research explores factors influencing the quality of teaching. Descriptive and correlational analyses were conducted on the variables involved, followed by structural equation modeling to test the proposed hypotheses. The findings revealed significant positive relationships among study habits, learning ability, interest motivation, learning resistance, teaching environment, and learning environment, with correlation coefficients positive at a 0.01 confidence level. The standardized path coefficients were 0.241, 0.143, 0.255, 0.153, 0.175, and 0.124 for learning habits, learning ability, interest motivation, learning resistance, teaching environment, and learning environment, respectively. These influences significantly and positively impact the effectiveness of the mathematics teaching model, demonstrating their beneficial effects on educational outcomes.

EXTRAPOLATION IN SOME MIXED-NORMED FUNCTION SPACES

Abstract. From the beginning of this century non-standard function spaces attracted a considerable attention of researchers. One of such spaces is variable exponent Lebesgue space (Nakano space) 𝐿𝑝(.); another one is grand Lebesgue space 𝐿𝑝0). The main reason to study these spaces was to solve a number of contemporary problems arising naturally in Applied Mathematics and PDEs (see, e.g., [1-5]). Mixed norm function spaces play an important role in Harmonic Analysis and PDEs (see, e.g. the survey by L. Huang and D. Yang (2019), papers by N. V. Krylov.

Models and Methods of Applied Mathematics in Supply Chain Management and Optimization

Abstract Amidst the swift expansion of the global trade economy, enterprises are confronted with escalating competition within their industries. Enhancing market competitiveness to boost economic efficiency emerges as a pivotal strategy for ensuring corporate viability. This study employs applied mathematics to refine the optimization of supply chain management, thereby offering a novel approach to augmenting management efficacy in enterprise supply chains. Initially, the research adopts mathematical models tuned to the traditional structure of enterprise supply chains, addressing prevalent profiling issues. Subsequently, it introduces a two-tier planning model to facilitate multi-objective decision-making in supply chain management. This model is rigorously applied to resolve various decision-making scenarios. An empirical analysis is conducted using Company M as a case study. Post-optimization, Company M's inventory exhibited only one instance of material shortfall, involving 132 items. The capital tied up in inventory was significantly reduced to 214,092 yuan—a decrease of 36,319 yuan compared to the capital occupied under traditional supply chain management methods. Furthermore, the optimized supply chain management system demonstrated a notable increase in the average inventory turnover rate to 12.3507%, marking an improvement of 3.6923% over the traditional model. The findings underscore the efficacy of the proposed optimization in enhancing the economic efficiency of enterprise supply chain management. This optimization not only streamlines operations but also provides robust support for the ongoing development of enterprise supply chains.

Combining GPT and Colab as learning tools for students to explore the numerical solutions of difference equations

One of the most important things you can do to improve your mathematical application is to learn how to find numerical solutions. However, it was discovered that classrooms teaching methods that use numerical solutions are largely unable to provide students with the successful experience they should have in finding numerical solutions. Since conceptual and procedural knowledge, as well as the ability to perform computational mathematics, must be understood, simultaneously mastering all three can be difficult for most students. This study investigates combining GPT and Colab as learning tools for students to explore numerical solutions in the context of difference equations. The developed learning process works in tandem with the power of GPT and Colab to provide students with a successful experience in finding numerical solutions to difference equations. The survey results show that students have a high level of self-efficacy in finding numerical solutions to difference equations. This reflects today’s power of innovation, which can be applied in classroom to improve student skills so that they can use the tools to solve problems.

Research on the Influence and Application of Financial Mathematics to Modern Financial Market

Research on the Influence and Application of Financial Mathematics to Modern Financial Market

Using Graphing Application in Illustrating the Conic Sections: Its Effect on Student’s Performance

Nowadays, there are lots of Mathematics software and applications that learners can use for their learning, especially on graphing and one of those is GeoGebra. The main objective of this study was to determine the effects of graphing applications in illustrating the conic sections on student performance. A quantitative design specifically the correlational method was used to consider the extent to which differences between variables are related to the differences in other variables and to determine the relationship between student’s perception and performance in illustrating conic sections using graphing application. The respondents of this study were the Grade 11 Science, Technology, Engineering, and Mathematics students of Araceli National High School consisting of 17 students. The findings showed a weak positive correlation between the student’s perception and performance in illustrating conic sections using a graphing application and a significant difference in the student’s performance in illustrating conic sections before and after using the application. The research findings suggested that all mathematics teachers should incorporate the use of graphing application – GeoGebra because it is highly beneficial and applicable in teaching topics involving graphing. Hence, future researchers should explore other graphing applications that could be used in teaching the conic sections.

Editorial: A special issue on mathematical optimization and applications

Editorial: A special issue on mathematical optimization and applications

Some well known inequalities on two dimensional convex mappings by means of Pseudo $ \mathcal{L-R} $ interval order relations via fractional integral operators having non-singular kernel

<abstract><p>Fractional calculus and convex inequalities combine to form a comprehensive mathematical framework for understanding and analyzing a variety of problems. This note develops Hermite-Hadamard, Fejér, and Pachpatte type integral inequalities within pseudo left-right order relations by applying fractional operators with non-singular kernels. Recently, results have been developed using classical Riemann integral operators in addition to various other partial order relations that have some defects that we explained in literature in order to demonstrate the unique characteristics of pseudo order relations. To verify the developed results, we constructed several interesting examples and provided a number of remarks that demonstrate that this type of fractional operator generalizes several previously published results when different things are set up. This work can lead to improvements in mathematical theory, computational methods, and applications across a wide range of disciplines.</p></abstract>

Learning the Parabola Mediated by Problem-Solving, Semiotic Representations, and Applets in GeoGebra

In this article we evaluate the contribution of the problem-solving approach, semiotic representations and the use of applets designed in GeoGebra when first-semester science and engineering students study the mathematical concept and application of the parabola. At the end of the classroom intervention, a significant improvement was noted in the students' performance, especially in their cognitive thinking activities; that is, in the use of algebraic language, in the appropriation of geometric concepts, and in the problem-solving performance.

ПЕРСПЕКТИВЫ РАЗВИТИЯ ЗАДАЧ АВТОМАТИЗИРОВАННОГО УПРАВЛЕНИЯ ТЕХНОЛОГИЧЕСКИМИ ПРОЦЕССАМИ В БИОТЕХНОЛОГИЧЕСКОЙ ПРОМЫШЛЕННОСТИ

The paper analyzes the main types of management tasks solved at various levels in the biotechnology industry. The directions of development of such types are identified, taking into account the existing and future needs of the organization of technological process management. The solution of the updated problems is justified by existing mathematical methods and application software. Illustrations of the feasibility of statements and solutions of problems are carried out on the basis of technologies and methods of the theory of entropy potentials, which is an effective tool for organizing monitoring and management of various systems.

ON THE MATHEMATICAL MODEL OF THE TRANSFORMATION OF NATURAL NUMBERS BY A FUNCTION OF A SPLIT TYPE

In this work justified incorrectness of the algorithm proposed in the publication "M. Remer.[A Comparative Analysis of the New -3(-n)-1 Remer Conjecture and a Proof of the 3n+1 Collatz Conjecture. Journal of Applied Mathematics and Physics. Vol.11 No.8, August 2023"] in terms of the Collatz conjecture. And also that the transformation -3(-n)-1 is not equivalent to Collatz's conjecture on the natural numbers 3n+1. The obtained results can be used in further studies of the Collatz hypothesis