Pub Date : 2023-06-01DOI: 10.26577/ijmph.2023.v14.i1.01
Askat K. Kudaibergenov Analysis of Thin, Askar Kudaibergenov Shell Vibrations with a, Askar K. L.A. Khajiyeva, 1. Kudaibergenov
. In this paper, nonlinear vibrations of an infinite thin cylindrical shell as a limiting case of a nanotube are studied. The main relations of Sanders-Koiter’s nonlinear shell theory and the Hamilton variation principle are applied to obtain a nonlinear mathematical model of the shell vibrations and allow fully accounting for the influence of nonlinear effects. Using the method of multiple scales with specification of fast and slow times, high-order asymptotic relations taking into account quadratic and cubic nonlinearities are found. Based on the solution of the asymptotic scheme at fourth order and application of the inextensibility condition for the semi-membrane shell theory, the numerical analysis of tangential and radial displacements of the cylindrical shell at leading order relative to the Fourier coefficients is conducted. The impact of the wave number, polar angle, radius, and wall thickness of the shell on the amplitude and period of the arising vibrations is investigated. Numerical illustrations of the obtained solutions are presented for several cases.
{"title":"Numerical analysis of thin cylindrical shell vibrations with a weak nonlinearity","authors":"Askat K. Kudaibergenov Analysis of Thin, Askar Kudaibergenov Shell Vibrations with a, Askar K. L.A. Khajiyeva, 1. Kudaibergenov","doi":"10.26577/ijmph.2023.v14.i1.01","DOIUrl":"https://doi.org/10.26577/ijmph.2023.v14.i1.01","url":null,"abstract":". In this paper, nonlinear vibrations of an infinite thin cylindrical shell as a limiting case of a nanotube are studied. The main relations of Sanders-Koiter’s nonlinear shell theory and the Hamilton variation principle are applied to obtain a nonlinear mathematical model of the shell vibrations and allow fully accounting for the influence of nonlinear effects. Using the method of multiple scales with specification of fast and slow times, high-order asymptotic relations taking into account quadratic and cubic nonlinearities are found. Based on the solution of the asymptotic scheme at fourth order and application of the inextensibility condition for the semi-membrane shell theory, the numerical analysis of tangential and radial displacements of the cylindrical shell at leading order relative to the Fourier coefficients is conducted. The impact of the wave number, polar angle, radius, and wall thickness of the shell on the amplitude and period of the arising vibrations is investigated. Numerical illustrations of the obtained solutions are presented for several cases.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42327163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.26577/ijmph.2023.v14.i1.09
I. M. Tkachenko, V. M. Rylyuk
{"title":"Theory of energy loss of charged projectiles in magnetized one-component plasmas","authors":"I. M. Tkachenko, V. M. Rylyuk","doi":"10.26577/ijmph.2023.v14.i1.09","DOIUrl":"https://doi.org/10.26577/ijmph.2023.v14.i1.09","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48688454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.26577/ijmph.2023.v14.i1.05
G. A. Ashirova
{"title":"Numerical study of flow srtucture (mixing process and rectivity) of diluted hydrogen non-premixed supersonic combustion system","authors":"G. A. Ashirova","doi":"10.26577/ijmph.2023.v14.i1.05","DOIUrl":"https://doi.org/10.26577/ijmph.2023.v14.i1.05","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47388974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.26577/ijmph.2023.v14.i1.04
M. Mukash, A. Assanova, O. Stanzhytskyi
. In the paper, we consider problem with impulse actions for system of nonlinear ordinary differential equations (ODEs) in the interval. For solving this problem we use a modification of parameterization method by Dulat Dzhumabaev. In the modification of the method we introduce the parameters as the values of the unknown function at the middle of the subintervals of the partition of the considered interval. The problem with impulse actions transfers to an equivalent problem system of nonlinear ODEs with parameters. Conditions for an existence of solution to the equivalent problem are obtained. Existence theorem for solutions this problem is established by one generalizes a theorem of Hadamard. We also constructed an algorithm for finding of solution to this problem. Finally, we found conditions for solvability to the problem with impulse actions for system of nonlinear ODEs in terms of special matrix composed by the initial data. This method can be applied to various types of nonlinear problems with impulse actions for ODEs.
{"title":"A problem with impulse actions for nonlinear ODEs","authors":"M. Mukash, A. Assanova, O. Stanzhytskyi","doi":"10.26577/ijmph.2023.v14.i1.04","DOIUrl":"https://doi.org/10.26577/ijmph.2023.v14.i1.04","url":null,"abstract":". In the paper, we consider problem with impulse actions for system of nonlinear ordinary differential equations (ODEs) in the interval. For solving this problem we use a modification of parameterization method by Dulat Dzhumabaev. In the modification of the method we introduce the parameters as the values of the unknown function at the middle of the subintervals of the partition of the considered interval. The problem with impulse actions transfers to an equivalent problem system of nonlinear ODEs with parameters. Conditions for an existence of solution to the equivalent problem are obtained. Existence theorem for solutions this problem is established by one generalizes a theorem of Hadamard. We also constructed an algorithm for finding of solution to this problem. Finally, we found conditions for solvability to the problem with impulse actions for system of nonlinear ODEs in terms of special matrix composed by the initial data. This method can be applied to various types of nonlinear problems with impulse actions for ODEs.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47587735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.33545/26648636.2023.v5.i2a.60
Dr. Sushila Srivastava, Dr. Monika Malik, Shubham .
Quantum computing, an innovative fusion of quantum mechanics and computer science, has emerged as a transformative force in the field of physics research. This comprehensive review article explores the advancements in quantum computing, focusing on quantum algorithms and their applications in various areas of physics. The review begins with an introduction to the fundamentals of quantum computing, elucidating the principles of qubits, quantum gates, and quantum algorithms. Subsequently, the article delves into the latest developments in quantum algorithms, including Shor's algorithm for factoring large numbers, Grover's algorithm for quantum search, and quantum phase estimation for simulating quantum systems. Furthermore, the review explores the practical applications of quantum computing in physics, encompassing quantum simulations of complex systems, quantum chemistry calculations, and quantum optimization for problem-solving. Additionally, the article presents case studies that demonstrate the practical implications of quantum computing in specific physics applications. The review also addresses the challenges and prospects of quantum computing in physics, including quantum error mitigation, hardware scalability, and quantum-classical interfaces. Ethical and societal considerations related to quantum computing's cryptographic impact, access, and responsible development are also discussed. Furthermore, the review explores the future directions of quantum computing in physics, from quantum supremacy to quantum machine learning and quantum gravity. The article concludes with reflections on the transformative potential of quantum computing in physics research and the importance of collaborative efforts, interdisciplinary research, and responsible development in shaping the future of quantum technologies. Overall, this comprehensive review offers valuable insights into the current state of quantum computing in physics and the exciting possibilities that lie ahead for unravelling the mysteries of the universe.
{"title":"Advances in quantum computing: A comprehensive review of quantum algorithms and applications in physics","authors":"Dr. Sushila Srivastava, Dr. Monika Malik, Shubham .","doi":"10.33545/26648636.2023.v5.i2a.60","DOIUrl":"https://doi.org/10.33545/26648636.2023.v5.i2a.60","url":null,"abstract":"Quantum computing, an innovative fusion of quantum mechanics and computer science, has emerged as a transformative force in the field of physics research. This comprehensive review article explores the advancements in quantum computing, focusing on quantum algorithms and their applications in various areas of physics. The review begins with an introduction to the fundamentals of quantum computing, elucidating the principles of qubits, quantum gates, and quantum algorithms. Subsequently, the article delves into the latest developments in quantum algorithms, including Shor's algorithm for factoring large numbers, Grover's algorithm for quantum search, and quantum phase estimation for simulating quantum systems. Furthermore, the review explores the practical applications of quantum computing in physics, encompassing quantum simulations of complex systems, quantum chemistry calculations, and quantum optimization for problem-solving. Additionally, the article presents case studies that demonstrate the practical implications of quantum computing in specific physics applications. The review also addresses the challenges and prospects of quantum computing in physics, including quantum error mitigation, hardware scalability, and quantum-classical interfaces. Ethical and societal considerations related to quantum computing's cryptographic impact, access, and responsible development are also discussed. Furthermore, the review explores the future directions of quantum computing in physics, from quantum supremacy to quantum machine learning and quantum gravity. The article concludes with reflections on the transformative potential of quantum computing in physics research and the importance of collaborative efforts, interdisciplinary research, and responsible development in shaping the future of quantum technologies. Overall, this comprehensive review offers valuable insights into the current state of quantum computing in physics and the exciting possibilities that lie ahead for unravelling the mysteries of the universe.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135358073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.33545/26648636.2023.v5.i2a.65
Nada Basheer, Murtadha La Shaghnab, Mohmmed Ahmed
The effectiveness of endoscopic therapy to the NEURO Co2 laser path utilizing the Nd:YAG laser file was the subject of a medical study done as part of the medical diagnostic study for physicians receiving training in curative surgery and neurology. Discovering the ELANA system's initial application. whereby eight patients with ischemia and 26 patients with big aneurysms were examined. As a result, diagnostic findings from frozen biopsies and frozen section biopsies seemed to be comparable. In neurosurgery, exogenous fluorescent dyes have been utilized in conjunction with LSCE to enhance morphological features. The ability to proliferate is stronger in SR101 astrocytoma cells.
{"title":"Rearview of medical laser application in neuro-tumor operations","authors":"Nada Basheer, Murtadha La Shaghnab, Mohmmed Ahmed","doi":"10.33545/26648636.2023.v5.i2a.65","DOIUrl":"https://doi.org/10.33545/26648636.2023.v5.i2a.65","url":null,"abstract":"The effectiveness of endoscopic therapy to the NEURO Co2 laser path utilizing the Nd:YAG laser file was the subject of a medical study done as part of the medical diagnostic study for physicians receiving training in curative surgery and neurology. Discovering the ELANA system's initial application. whereby eight patients with ischemia and 26 patients with big aneurysms were examined. As a result, diagnostic findings from frozen biopsies and frozen section biopsies seemed to be comparable. In neurosurgery, exogenous fluorescent dyes have been utilized in conjunction with LSCE to enhance morphological features. The ability to proliferate is stronger in SR101 astrocytoma cells.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135611504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.33545/26648636.2023.v5.i2a.56
NP Gaikwad
{"title":"LRS Bianchi type II string magnetized barotropic perfect fluid cosmological model in Rosen’s biometric theory of gravitation","authors":"NP Gaikwad","doi":"10.33545/26648636.2023.v5.i2a.56","DOIUrl":"https://doi.org/10.33545/26648636.2023.v5.i2a.56","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88576247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.33545/26648636.2023.v5.i1a.48
Sudipto Roy
In order to find whether a student is eligible for admission to higher academic institutions, it is often necessary to estimate the percentile score of the student, based on the marks obtained in a competitive examination. In the present article, we have discussed a very simple mathematical model to calculate the percentile score based on marks. For this purpose, we have defined a function representing the probability that a certain fraction of the syllabus has been studied by a candidate before appearing for the examination. Another function has been derived, in terms of that fraction, representing the probable percentage of marks obtained by the candidate. Using these functions, we have derived expressions for the expected percentile score and the rank of the candidate in terms of the percentage of marks. To determine the values of the constant parameters involved in the present model, one is supposed to use the marksversus-percentile-versus-rank data obtained from the results of previous years. Due to the unavailability of these data, we have used different combinations of values of the parameters to show graphically how the percentile score and rank of a candidate vary as functions of the percentage of marks obtained in the examination.
{"title":"Estimation of percentile score based on marks obtained in an examination: A simple mathematical model","authors":"Sudipto Roy","doi":"10.33545/26648636.2023.v5.i1a.48","DOIUrl":"https://doi.org/10.33545/26648636.2023.v5.i1a.48","url":null,"abstract":"In order to find whether a student is eligible for admission to higher academic institutions, it is often necessary to estimate the percentile score of the student, based on the marks obtained in a competitive examination. In the present article, we have discussed a very simple mathematical model to calculate the percentile score based on marks. For this purpose, we have defined a function representing the probability that a certain fraction of the syllabus has been studied by a candidate before appearing for the examination. Another function has been derived, in terms of that fraction, representing the probable percentage of marks obtained by the candidate. Using these functions, we have derived expressions for the expected percentile score and the rank of the candidate in terms of the percentage of marks. To determine the values of the constant parameters involved in the present model, one is supposed to use the marksversus-percentile-versus-rank data obtained from the results of previous years. Due to the unavailability of these data, we have used different combinations of values of the parameters to show graphically how the percentile score and rank of a candidate vary as functions of the percentage of marks obtained in the examination.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":"104 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74175760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.33545/26648636.2023.v5.i2a.61
Parshu Ram Chaudhary, Dinesh Panthi, Chet Raj Bhatta
The indigenous people Tharu's have a distinctive culture and way of life. While performing daily tasks, they practice their own mathematical concepts and thinking. The study of mathematical ideas and skills that are common within a population but are often not included in the formal curriculum. This study intends to reveal the secret mathematical expertise and knowledge used in Tharu's traditional House. The observation and documentation analysis approach was utilized in this study's data collection to attain its objectives. This study is intended to uncover the mathematical concepts embedded in the construction of traditional Tharu houses. The resketching of the image of the traditional houses obtained in the field is carried out to facilitate the mathematical ideas in the construction of the traditional house. This finding demonstrates that Rolle's Theorem is applicable in practice and is clear enough to comprehend its principles from Tharu's traditional home.
{"title":"Rolle's Theorem and its application in Tharu's traditional house","authors":"Parshu Ram Chaudhary, Dinesh Panthi, Chet Raj Bhatta","doi":"10.33545/26648636.2023.v5.i2a.61","DOIUrl":"https://doi.org/10.33545/26648636.2023.v5.i2a.61","url":null,"abstract":"The indigenous people Tharu's have a distinctive culture and way of life. While performing daily tasks, they practice their own mathematical concepts and thinking. The study of mathematical ideas and skills that are common within a population but are often not included in the formal curriculum. This study intends to reveal the secret mathematical expertise and knowledge used in Tharu's traditional House. The observation and documentation analysis approach was utilized in this study's data collection to attain its objectives. This study is intended to uncover the mathematical concepts embedded in the construction of traditional Tharu houses. The resketching of the image of the traditional houses obtained in the field is carried out to facilitate the mathematical ideas in the construction of the traditional house. This finding demonstrates that Rolle's Theorem is applicable in practice and is clear enough to comprehend its principles from Tharu's traditional home.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135550710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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