Mathematics Physics Research Articles

AN EXPLORATORY STUDY: DEVELOPMENT OF ELECTRONIC MODULES IN MATHEMATICAL PHYSICS I COURSE

AN EXPLORATORY STUDY: DEVELOPMENT OF ELECTRONIC MODULES IN MATHEMATICAL PHYSICS I COURSE

Diverging nonlocal fields: Operationalizing critical disability physics identity with neurodivergent physicists outside academia

Science, technology, engineering, and mathematics (STEM) education research and physics education research, in particular, are currently struggling with a dearth of research into understanding the experiences and identity development of neurodivergent students. In addition, an even larger gap in research exists looking into nonacademic members who have left the field and still strongly identify with their disciplinary identity. As valued members of our physics community, these colleagues provide a unique perspective as to how identity and participation are nurtured and developed, particularly among rising disabled physicists. To resolve these current issues and aid in future research, we operationalize our new Critical Disability Physics Identity framework and present results from interviews with three neurodivergent post-baccalaureate nonacademic physicists (those who have left physics and retain a strong affinity toward their identity as a physicist). As the first paper in a four-part phenomenological study into the identity development of neurodivergent physicists, we also present an analysis of each interview through a Critical Disability Physics Identity lens and discuss the implications of their Critical Disability Physics Identity development. We find that neurodivergent students experience very little outright discrimination and violence but experience structural ableism in the form of assessment that is not constructed for how neurodivergent physicists perform physics-related tasks. Additionally, we find that neurodivergent physicists seem to ground identity in having a strong interest in physics, something that is only shaken by professors and others in power being neutral toward the discrimination experienced by neurodivergent people. We find that there are very large power imbalances between professors and neurodivergent students and that only when professors and others in power are actively anti-ableist is this power imbalance remedied and neurodivergent students begin to feel that they are physicists. Published by the American Physical Society 2024

Implementation of summation theorems of Andrews and Gessel-Stanton

Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications. Solving partial differential equations encountered in many applied problems of mathematics physics is expressed in terms of such generalized hypergeometric functions. In particular, the Srivastava-Daoust double hypergeometric function (S-D function) has proved its practical utility in representing solutions to a wide range of problems in pure and applied mathematics. In this paper, we introduce two general double-series identities involving bounded sequences of arbitrary complex numbers employing the finite summation theorems of Gessel-Stanton and Andrews for terminating 3F2 hypergeometric series with arguments 3/4 and 4/3, respectively. Using these double-series identities, we establish two reduction formulas for the (S-D function) with arguments z, 3z/4 and z, −4z/3 expressed in terms of two generalized hypergeometric function of arguments proportional to z3 and −z3 respectively. All the results mentioned in the paper are verified numerically using Mathematica Program.

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Fokas equation, which is used to give the model of many physical phenomena and dynamical processes, and the other one is the fractional order (2+1)-dimensional breaking soliton equation which is used to analyze the nonlinear problems like optical fiber communications, ocean engineering, etc. Recently, it has been an essential topic to extract the new soliton solutions which are used to investigate the hidden physical conditions of the nonlinear fractional PDEs. So, it is essential to solve those nonlinear fractional PDEs which have a physical impact in the fields of science and modern engineering. In our investigation, we attempt to provide nonlinear wave propagation patterns and investigate the equations, as mentioned earlier, through a computational method. A computing operating software called Mathematica has been applied to get a clear visualization of our gained outcomes, and we ascertain such types of shapes as the bell shape soliton, the anti-bell shape soliton, the singular bell shape soliton, the periodic solution, and the singular periodic solution. Our obtained results can keep an indispensable role in explaining various physical phenomena of nature shortly, and the applied method is the very cogent, efficient, and interesting to extract such types of solutions. Since we extract abundant solutions of these models, so we hope that this article is the best applications of mention method.

Preface

The 2023 7th International Conference on Mechanics, Mathematics and Applied Physics (ICMMAP 2023) took place in Dalian, China during 8th to 10th September 2023. The conferences in this series started in 2017 as an academic conference and gradually expanded to include wider topic fields as well. Now the International Conference on Mechanics, Mathematics and Applied Physics has been developed into an annual international conference based in China with topics encompassing the whole area of mechanics, mathematics and applied physics.The aim of the Conference was to provide a platform for the exploration of both fundamental topics and new applications of research fields related to mechanics, mathematics and applied physics, bring different scientific communities together, and thus facilitate the contacts between science, technology and industry. All the attendees were welcomed to give comments and raise questions to the speeches and presentations during the Conference.More than 100 participants attended the Conference which consisted of ten keynote speeches, as well as plenty of oral and poster contributions. Among them, Prof. Zhenxin Liu (Dalian University of Technology, China), who is interested in the researches on Stochastic Dynamical Systems and Stochastic Differential Equations, delivered a keynote speech on The Averaging Principle for SDEs with Monotone Coefficients. And Prof. Chongjun Li (Dalian University of Technology, China) made a report on Revised SBFEM on Arbitrary Polygons and Faceted Polyhedrons with the Second Order Completeness by Elimination of Bubble Functions. He focuses his research on Numerical Approximation, Computational Geometry, Multivariate Spline Theory, and Spline Finite Elements. And the other speakers performed their speeches one by one, sharing research experience and professional insights on specific topics. It is really a great opportunity to promote academic communication and collaboration worldwide.This volume gathers papers from regular contributions of ICMMAP 2023; each contribution submitted for publication has been peer reviewed and the Editors are very grateful to the referees for their careful support in improving the original manuscripts. The manuscripts accepted for publication cover different topics of mechanics, mathematics and applied physics: Computational Mechanics, Multiphase Fluid Mechanics, Partial Differential Equation, Simulation and Monte-Carlo Methods, Nuclear Electronics, etc.It is a great honor to present this volume of Journal of Physics: Conference Series and we deeply thank the authors for their enthusiastic and high-grade contribution.Finally, we would like to thank the Conference Chair, the Publication Chair, the members of the Technical Program Committee as well as Organizing Committee, the conference secretariat and the support from Dalian Jiaotong University that allowed the success of ICMMAP 2023.The Committee of ICMMAP 2023List of Committee Member are avaible in this pdf.

Investigating the Need for the Development of Mathematics Physics E-Modules for Students

This research is motivated by the difficulties of students in studying Mathematics Physics II with fourier series material because the main source books used are all in English. Students also admitted that the difficulty in studying Mathematics Physics II was due to the lack of variety of examples. In addition, it is also known that the development of e-modules for the Physics Mathematics II course has never been done before. Therefore, the researchers conducted this investigation with the aim of knowing how much students need for the development of e-modules for the Fourier series material in the Mathematics Physics II course. The method used in this study is a mixed method (mixed method). Data was collected using a questionnaire sheet and student interviews. The data obtained in the form of quantitative data and qualitative data. Quantitative data was analyzed by descriptive statistical analysis test, while qualitative data was analyzed using the Miles & Huberman approach. Through the results of this study, it was found that most of the students expressed their need for the development of the e-module in Mathematics Physics II for fourier series material. The novelty of this study is that the material used is Fourier series material which has never been studied by previous research.
 
 Key words: Education, E-module, Investigation, Mathematics, Physics

Formula omitted]-graded identities of the Virasoro algebra

The Virasoro algebra, defined by the basis elements {Ln,cˆ}n∈Z with commutation relations [Lm,Ln]=(m−n)Lm+n+δm+n,0⋅(Cmcˆ) and [Lm,cˆ]=0, is an infinite-dimensional Lie algebra with many applications in various areas of Mathematics and Theoretical Physics. Here the symbol δi,j denotes the Kronecker delta and Cm=(m(m2−1))/12. This algebra admits a natural Z-grading. Over an infinite field of characteristic different from 2 and 3, we describe the graded identities of the Virasoro algebra for this grading. It turns out that all these Z-graded identities are consequences of a collection of polynomials of degree 2, 3 and 4 and that they do not admit a finite basis.

The dynamical study and analysis of diverse bright-dark and breathers wave solutions of nonlinear evolution equations and their applications

In this work, we establish novel solitary wave solutions of three nonlinear evolution dynamical models, namely, Boussinesq model, [Formula: see text]-dimensional generalized shallow water wave (SWW) and [Formula: see text]-dimensional Fokas dynamical models by applying two-variable [Formula: see text]- expansion technique. The SWW equations are usually appropriate when the fluid is in a state where the vertical length scale is significantly smaller than the length of horizontal scale. In computer simulations for ocean engineering, Boussinesq-type models are frequently used to represent water waves in harbors and shallow seas. In order to understand the physical processes of waves inside and on the surface of water, the Fokas dynamical model plays a crucial part in wave theory. Analytical solutions in different forms such as solitons, solitary waves, trigonometric, hyperbolic, rational function solutions, breathers-type waves and more wave solutions are devised through using the proposed method. The exact solutions are also presented in graphical form having applications in engineering and other areas of applied sciences. The obtained results show that the given technique is universal and efficient. In addition, this technique can also be applied on lots of other nonlinear dynamical wave models occurring in many scientific real-world application domains, including engineering sciences, mathematics physics, and many more.

“Computational Mathematics and Mathematical Physics”—Editorial I (2021–2023)

Based on the papers published in the Special Issue of the scientific journal Axioms, here we present the Editorial Article “Computational Mathematics and Mathematical Physics”, the main topics of which include both fundamental and applied research in computational mathematics and differential equations of mathematical physics [...]

Structure theorem for Jordan algebra bundles

PurposeThe aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.Design/methodology/approachUsing the decomposition theorem of Lie algebra bundles, this paper proves the decomposition theorem for locally trivial Jordan algebra bundles.FindingsFindings of this paper establish the decomposition theorem for locally trivial Jordan algebra bundles.Originality/valueTo the best of the author’s knowledge, all the results are new and interesting to the field of Mathematics and Theoretical Physics community.

Implementasi Merdeka Belajar Kampus Merdeka

This study aims to analyze the Implementation of Free Campus Independent Learning (MBKM) in the Mathematics and Natural Sciences Department of PGRI Silampari University. The method used is a survey by distributing questionnaires. Respondents in this study were 173 students of the Mathematics and Natural Sciences Department at PGRI Silampari University, which consisted of the Study Programs for Mathematics Education, Physics Education and Biology Education. The results showed that as many as 68.2% of students strongly agreed that the Mathematics and Natural Sciences Department had MBKM activities; 98.8% are interested in participating in MBKM activities; and apprenticeship/practice activities are activities that students are most interested in (29.5%); and 100% of MIPA Department students think that the MBKM program provides additional competencies for students according to future needs and can improve student soft-skills. In conclusion, the Mathematics and Natural Sciences Department of PGRI Silampari University has carried out MBKM activities that can provide additional competencies for students. 
 Keywords: Implementation, Independent Campus, Free Learning, PGRI Silampari University

Preface

The 2022 6th International Conference on Mechanics, Mathematics and Applied Physics (ICMMAP 2022) was successfully held in Qingdao, China on August 19-21, 2022. As an annual conference, ICMMAP 2022 provided a platform for experts and scholars from home and abroad to share scientific research results and cutting-edge technologies, and strengthen academic research and discussion, promoting cooperation in the industrialization of academic results.In the conference, we were honored to invite four professors to serve as our Conference General Chairs. Respectively, they are Prof. Harith Bin Ahmad from University of Malaya, Malaysia, Prof. Ooi Chong Heng from University of Malaya, Malaysia, Prof. Rozaini Roslan FIMA from Universiti Tun Hussein Onn Malaysia, Malaysia and Prof. Mário Fernando Santos from University of Aveiro, Portugal. 170 individuals attended the conference covering keynote speeches and oral presentations. Firstly, the keynote speakers were each allocated 30-45 minutes to address their speeches. Then in the oral presentations, the excellent papers we had selected were presented by their authors by turns.Five distinguished professors were invited to hold keynote speeches during the conference. Among them, Prof. Weiwei Zhang from Dongguan University of Technology, China performed a thought-provoking speech on the title Studies on Chaos System Inspection of Weak Ultrasonic Guided Wave. To improve the detection efficiency of small defects in the pipeline, a weak guided wave identification method based on the parameter sensitivity of the Duffing chaotic system was proposed in this research. Then, two chaotic systems were proposed to identify the amplitude identification and arriving time of the defect echo, and the size and location of pipeline defects were identified based on them. Moreover, A. Prof. Fengming Du from Dalian Maritime University, China made a report on: Research on Thermal and Mechanical Behavior of Continuous Casting Mold. This paper focused on the heat transfer, solidification, deformation and friction in continuous casting mold and slab, and is significant for improving slab quality and optimizing process parameters. Their insightful speeches had triggered heated discussion. And every participant praised this conference for disseminating useful and insightful knowledge.After months of hard work and preparation, we selected a bunch of high-quality papers from the submissions and compiled them into the proceedings after rigorously reviewing them. These papers feature but are not limited to the following topics: Applied Mechanics, Aeroelasticity, Combinatorial Mathematics, Electromagnetism, etc. All the papers have been checked through rigorous review and processes to meet the requirements of publication.We would like to acknowledge all of those who supported ICMMAP 2022 and made it a great success. Particularly, we would like to thank the Journal of Physics: Conference Series, for all the efforts of its colleagues in publishing this paper volume. We sincerely hope that the ICMMAP 2022 turned out to be a forum for excellent discussions that enable new ideas to come about, promoting collaborative research.The Committee of ICMMAP 2022List of Committee member is available in this Pdf.

Analisis dan Pemetaan Mata Kuliah Bersyarat Program Studi Fisika Menggunakan BackPropagation Neural Network

This study aims to analyze and map the conditional courses at the Tadris Physics Study Program, Faculty of Tarbiyah and Teacher Training, Sulthan Thaha Saifuddin State Islamic University Jambi. This research is an applied science research, data analysis using quantitative descriptive technique. The data is in the form of documenting the value of the 2019/2020 Tadris Physics Study Program students. The research sample consisted of 11 sample subjects from 19 population subjects. The data is processed using Backpropagation Neural Network with Python programming language. Validation and accuracy of prediction results using Mean Absolute Percentage Error and determinant coefficient R Square. The prediction results of conditional courses obtained are accurate and valid with MAPE values <10% (very good) and R Square values close to 1. This study shows that the mapping of prerequisite courses set by the study program is appropriate, except for Basic Physics Courses. 2 (R 0.216) and Mathematics Physics Course I (R 0.50) require additional other prerequisite courses.Keywords: mapping; conditional courses, backpropagation neural network

Preface

The Military Technical College, sponsored by the Egyptian Ministry of Defense, is honored to organize the ninth International Conference on Mathematics and Engineering Physics in the period of March 29 - 31, 2022.The conference provides a valuable opportunity to all the research people in Egypt and all over the world to exchange and update their knowledge in the designated fields of interestList of Conference Committee, Contributors, Conference Program, Location of Conference Rooms, Part I: Scientific Sessions, Part II: Keynotes, Workshops and Seminars, Authors Index and Reviewers are available in this pdf.

Innovative Learning: Gender Perception of e-Module Linear Equations in Mathematics and Physics

This research was conducted to answer students' perceptions based on gender towards the e-Module Mathe-matics Physics I on linear equations. This methodology uses quantitative research which is analyzed using statistical and inferential analysis techniques with a sample of 120 students. After testing, the results sho-wed that the perceptions of male students and female students' perceptions were concluded that the average value of female students' perceptions had differences. From the difference in the average value of student perceptions based on gender in the research sample, it shows that the perception of students with male gen-der is higher than the average value of female gender perception because male students tend to have critical thinking skills towards material. related to mathematics compared to female students.

Editorial

Editorial

Male or Female, who is better? Student's Perception of the E-Module in Physics-Mathematics Vector Material

This study aims to see how students from different classes perceive the e-Module Mathematics Physics I on vector material, besides that variations in gender differences will also be tested in this perception. The type of research used is descriptive quantitative research. The population in this study were students of Physics Education class 2019 with a sample of 80 students in regular classes A and C. The data were analyzed descriptively and inferentially by using the IBM SPSS Statistic 22 application which consisted of descriptive test, normality test, homogeneity test, and t-test analysis. The results obtained are normal data with a sig of 0.190, and homogeneous with a sig of 0.305. While the t-test obtained a sig value of 0.019 for gender differences in class A, and 0.017 for gender differences in class C. So Ho is rejected and Ha is accepted, meaning that there are significant (significant) differences in perceptions based on gender in each class A and C. Where the perception of male students is higher than the perception of female students, but overall students give a good perception of the Mathematics Physics e-module I on Vector material.

John Charlton Polkinghorne KBE. 16 October 1930—9 March 2021

John Polkinghorne made many contributions to theoretical elementary particle physics. Between 1959 and 1979 he led the theoretical physics group in the Department of Applied Mathematics and Theoretical Physics in Cambridge University. He discovered important features of the analytic properties of the scattering matrix, culminating in the jointly authored book, The analytic S-matrix , which has become widely influential. He also worked on scattering at high energies and developed a covariant formulation of Feynman's (Richard Feynman ForMemRS) parton model (partons being later identified as quarks and gluons). In 1979, he resigned from his professorship of Mathematical Physics and commenced training as an Anglican priest. While serving in a number of appointments within the Church of England and then within Cambridge University he became one of the most influential figures in the growing academic field of science and religion, publishing both popular and academic texts and lecturing on an international stage.

Grigory Isaakovich Barenblatt. 10 July 1927—22 June 2018

Grigory Barenblatt devoted his scientific life to the analysis of difficult and important problems in mechanics: turbulence, including turbulence in the oceans and the atmosphere and in polymeric fluids, fracture, fatigue and damage accumulation in solids, flow in porous media, and combustion. He made use of sophisticated and innovative mathematical tools that he himself developed with his collaborators: in particular, similarity, scaling methods and intermediate asymptotics. During the years up to the dissolution of the USSR, he held senior positions in the Institute of Petroleum, the Institute for Problems in Mechanics and the Institute of Oceanology, all institutes of the USSR Academy of Sciences, and the Department of Plasticity at the Institute of Mechanics, Lomonosov Moscow State University. In 1992 he was appointed the first G. I. Taylor Professor of Fluid Mechanics at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, and then in 1996, he was appointed Professor in Residence, Department of Mathematics, University of California at Berkeley. His work has garnered many prestigious awards and world-wide recognition.

Mathematics Physics Learning E-Module: Differences in Perceptions and Interests Based on Gender

The purpose of this study was to determine the differences in perceptions and interests of physics education students, FKIP Jambi University towards the FISMAT e-module which was reviewed based on gender differences. This study uses a quantitative type, namely survey research. The instrument used is a perception questionnaire and the data will be analyzed using descriptive statistics and inferential statistics, namely the assumption test (normality test and homogeneity test) and hypothesis testing (one-way ANOVA test) and continued with Scheffe's further test. Sampling was carried out using a total sampling technique, namely as many as 91 physics education students, FKIP Jambi University. The results of this study are that there are differences in perceptions and interests in the FISMAT e-module, namely the average student perception of the FISMAT e-module which is best owned by women in class B and for the average student interest the highest is owned by women in class A.