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International Journal of Mathematics in Operational Research最新文献

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New Odd Numbers Identity and the None-trivial Zeros of Zeta Function 新的奇数恒等式与Zeta函数的非平凡零
International Journal of Mathematics in Operational Research Pub Date : 2023-04-08 DOI: 10.5539/jmr.v15n2p74
Shaimaa Said Soltan
{"title":"New Odd Numbers Identity and the None-trivial Zeros of Zeta Function","authors":"Shaimaa Said Soltan","doi":"10.5539/jmr.v15n2p74","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p74","url":null,"abstract":"This paper is going to introduce a new identity unit circle function for complex plane specific for odd numbers. \u0000 \u0000Second, we are going to show some properties of these new unit Identity function. \u0000 \u0000Third, use this new unit Identity function to study the distribution of odd roots for sin term in zeta function but using the new identity function not Euler Identity to explain Riemann conjunction about the critical strip line and the none-trivial zeros along Re(S) = 0.5. \u0000 \u0000Also, In an Introductory Analysis for the geometric functions Sin and Cos, we will visualize the inverse of geometric function Sin. \u0000 \u0000Riemann's functional equation \u0000 \u0000 \u0000 \u0000 \u0000 \u0000Then Zeta function will be zero \u0000 \u0000 \u0000 At             is Zero for any complex number S. \u0000 If exponential term is zero also when S = S + 0.5 where S is any complex number. \u0000","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90813660","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}
引用次数: 0
Relation Between the Golden Ratio Phi and Zeta Function SUM 黄金比例Phi与Zeta函数SUM的关系
International Journal of Mathematics in Operational Research Pub Date : 2023-04-05 DOI: 10.5539/jmr.v15n2p31
Shaimaa Said Soltan
{"title":"Relation Between the Golden Ratio Phi and Zeta Function SUM","authors":"Shaimaa Said Soltan","doi":"10.5539/jmr.v15n2p31","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p31","url":null,"abstract":"This paper will explain the relation between the golden ratio Phi and Zeta function SUM. First, we will introduce why we used Phi and its functional properties then we will go through some of Phi Properties in a complex plane. Finally, we will use this Golden ratio Phi functional formula, to find the sum of the Prime numbers in Zeta function infinite series in relation with the Golden ration Phi, and pi.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89192270","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}
引用次数: 0
A Note on Star-Pr"ufer Extensions 关于Star-Pr“uextension”的注释
International Journal of Mathematics in Operational Research Pub Date : 2023-04-05 DOI: 10.5539/jmr.v15n2p66
Lokendra Paudel, S. Tchamna
{"title":"A Note on Star-Pr\"ufer Extensions","authors":"Lokendra Paudel, S. Tchamna","doi":"10.5539/jmr.v15n2p66","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p66","url":null,"abstract":"Let ★ be a star operation on a ring extension R subseteq S . The ring extension R subseteq S is said to be a ★-Pr¨ufer if R[p] subseteq S is a Pr¨ufer extension for each ★-prime ideal p of R. We study properties of ★-Pr¨ufer extensions. In particular, we investigate the transfer of star-Pr¨ufer properties from the extension R subseteq S to the extension R[X] subseteq S [X] of polynomial rings, where X is an indeterminate over S .","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85444309","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}
引用次数: 0
Analysis of 2D Maxwell's Equations in a Time-Harmonic Regime 二维时谐麦克斯韦方程组的分析
International Journal of Mathematics in Operational Research Pub Date : 2023-04-04 DOI: 10.5539/jmr.v15n2p1
Shuo Sha
{"title":"Analysis of 2D Maxwell's Equations in a Time-Harmonic Regime","authors":"Shuo Sha","doi":"10.5539/jmr.v15n2p1","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p1","url":null,"abstract":"The variational formulation is an essential tool to analyze the existence and uniqueness of the solution of certain partial differential equations with boundary conditions. We can further approximate this analytical solution by computing a corresponding numerical solution obtained by the finite element method. In this paper, we studied 2D Maxwell's equations in a time-harmonic regime. We established a corresponding variational formulation and proved its well-posedness in certain conditions. We also constructed a corresponding internal approximation and gave an error estimate within some prior assumptions. This theoretical analysis provides a basis to compute the numerical solution of time-harmonic 2D Maxwell's equations and gives physical significance to the transverse magnetic problem.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80757859","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}
引用次数: 0
Convergence for an Immersed Finite Volume Method for Elliptic and Parabolic Interface Problems 椭圆和抛物型界面问题的浸入有限体积法的收敛性
International Journal of Mathematics in Operational Research Pub Date : 2023-04-04 DOI: 10.5539/jmr.v15n2p19
C. Attanayake, Deepthika Senaratne
{"title":"Convergence for an Immersed Finite Volume Method for Elliptic and Parabolic Interface Problems","authors":"C. Attanayake, Deepthika Senaratne","doi":"10.5539/jmr.v15n2p19","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p19","url":null,"abstract":"In this article we analyze an immersed interface finite volume method for second order elliptic and   parabolic interface problems. We show the optimal convergence of the elliptic interface problem in L^2 and energy norms. \u0000For the parabolic interface problem, we prove the optimal order in L^2 and energy norms for piecewise constant and variable diffusion coefficients respectively. Furthermore, for the elliptic interface problem, we demonstrate super convergence at element nodes when the diffusion coefficient  is a piecewise constant.  Numerical examples  are also provided to confirm the optimal error estimates.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77761524","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}
引用次数: 0
Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 1 《Journal of Mathematics Research》第15卷第1期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-02-08 DOI: 10.5539/jmr.v15n1p75
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 1","authors":"Sophia Wang","doi":"10.5539/jmr.v15n1p75","DOIUrl":"https://doi.org/10.5539/jmr.v15n1p75","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 1","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76161831","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}
引用次数: 0
Gamma Derivatives of the Extended Sine and Cosine Functions for the Upgraded Mass-Spring Oscillatory System 升级质量-弹簧振荡系统扩展正弦和余弦函数的导数
International Journal of Mathematics in Operational Research Pub Date : 2023-02-07 DOI: 10.5539/jmr.v15n1p57
Luis Teia
{"title":"Gamma Derivatives of the Extended Sine and Cosine Functions for the Upgraded Mass-Spring Oscillatory System","authors":"Luis Teia","doi":"10.5539/jmr.v15n1p57","DOIUrl":"https://doi.org/10.5539/jmr.v15n1p57","url":null,"abstract":"Derivatives in trigonometry have always been defined in orthogonal contexts (i.e., where the y-axis is set perpendicular to the x-axis). Within the context of trigonometric, the present work expands the concept of derivative (operating by the principle of 90 degrees phase shift when applicable to sine and cosine functions) to the realm where the y-axis is at a variable angle $gamma$ to the x-axis (i.e., non-orthogonal systems). This gives rise to the concept of the emph{gamma derivative} --- which expands the classical derivative to impart phase shifts of $gamma$ degrees. Hence, the ordinary derivative (with respect to $alpha$) or $d/d alpha$ is a particular case of the more general emph{gamma derivative} or $d_gamma/d_gamma alpha$. Formula for the $n^{th}$ gamma derivative of the extended sine and cosine functions are defined. For applied mathematics, the gamma derivatives of the extended sine function $sin^*(alpha,gamma)$ and cosine function $cos^*(alpha,gamma)$ determine the extended governing equation of the energy-coupled mass-spring oscillatory system, and by extended analogy that of the electrical LC (Inductance-Capacitance) circuit.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80743187","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}
引用次数: 0
Solving Some Fractional Ordinary Differential Equations by SBA Method 用SBA法求解若干分数阶常微分方程
International Journal of Mathematics in Operational Research Pub Date : 2023-02-01 DOI: 10.5539/jmr.v15n1p47
Germain Kabore, Windjiré Some, Moumini Kéré, Ousséni So, B. Somé
{"title":"Solving Some Fractional Ordinary Differential Equations by SBA Method","authors":"Germain Kabore, Windjiré Some, Moumini Kéré, Ousséni So, B. Somé","doi":"10.5539/jmr.v15n1p47","DOIUrl":"https://doi.org/10.5539/jmr.v15n1p47","url":null,"abstract":"In this paper we have solved some temporal fractional functional equations in the sense of Caputo by a numerical method called SOME BLAISE ABBO(SBA). Unlike classical numerical methods, this method bypasses discretization. Despite its youth, it has already proven itself. Indeed, its accuracy and efficiency have already been proven in the solution of ODEs and PDEs with integer derivative. Its application to fractional functional equations constitutes an important scientific contribution. On the one hand, we demonstrate the efficiency of the SBA method to find exact solutions, when they exist, of some rather complicated problems, due to their nonlinearity. On the other hand, through these results, we bring essential information allowing the analysis of a given phenomenon in order to help the best decision making.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84356683","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}
引用次数: 0
A Generalization of Projective Module 射影模的推广
International Journal of Mathematics in Operational Research Pub Date : 2023-01-30 DOI: 10.5539/jmr.v15n1p24
Fitriani -, I. E. Wijayanti, Ahmad Faisol
{"title":"A Generalization of Projective Module","authors":"Fitriani -, I. E. Wijayanti, Ahmad Faisol","doi":"10.5539/jmr.v15n1p24","DOIUrl":"https://doi.org/10.5539/jmr.v15n1p24","url":null,"abstract":"Let $V$ be a submodule of a direct sum of some elements in $mathcal{U}$, and $X$ be a submodule of a direct sum of some elements in $mathcal{N}$, where $mathcal{U}$ and $mathcal{N}$ are families of $R$-modules. A $mathcal{U}$-free module is a generalization of a free module. According to the definition of $mathcal{U}$-free module, we define three kinds of projective$_{mathcal{U}}$ in this research, i.e., projective$_{underline{mathcal{U}}}$, projective$_{mathcal{U}}$ module, and strictly projective$_{mathcal{U}}$ module. The notion of strictly projective$_{mathcal{U}}$ is a generalization of the projective module. In this research, we discuss the relationship between projective modules and the three types of modules. Furthermore, we show that the properties of $mathcal{U}$ impact the properties of the projective$_{mathcal{U}}$ module so that we can determine some properties of the projective$_{mathcal{U}}$ module based on the properties of the family of $mathcal{U}$ of $R$-modules.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"120 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82392231","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}
引用次数: 0
Numerical Solution of Linear Parabolic Equation With Rational Coefficients 有理系数线性抛物方程的数值解
International Journal of Mathematics in Operational Research Pub Date : 2023-01-29 DOI: 10.5539/jmr.v15n1p1
M. Nakashima
{"title":"Numerical Solution of Linear Parabolic Equation With Rational Coefficients","authors":"M. Nakashima","doi":"10.5539/jmr.v15n1p1","DOIUrl":"https://doi.org/10.5539/jmr.v15n1p1","url":null,"abstract":"In this paper, we present explicit scheme for solving rational coefficient (which depends only on space variable) parabolic equation. The explicit scheme is required some restriction on step size ratio k/h^2, →0 in stability, where k and h are step sizes for space and time respectively. In this paper, we will present the explicit scheme is sable without restriction on the step size ratio k/h^2. We also show the scheme converge to true solution under some conditions on coefficient.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72936707","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}
引用次数: 0
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