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Advances in Pure and Applied Mathematics最新文献

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Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions 函数展开中贝塞尔函数与切比雪夫多项式的对偶性
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.138034
A. Wünsche
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引用次数: 0
The Infinity Tree: Representing Infinities of Real Numbers with Countably Infinite Tree Structures 无穷树:用可数无穷树结构表示实数的无穷
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.134013
Philip C. Jackson
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引用次数: 0
Zipf’s Law, Benford’s Law, and Pareto Rule 齐夫定律，本福德定律和帕累托法则
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.133010
O. Kafri
{"title":"Zipf’s Law, Benford’s Law, and Pareto Rule","authors":"O. Kafri","doi":"10.4236/apm.2023.133010","DOIUrl":"https://doi.org/10.4236/apm.2023.133010","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"108 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79549429","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
All Zeros of the Riemann Zeta Function in the Critical Strip Are Located on the Critical Line and Are Simple 临界带中的Riemann Zeta函数的所有零点都位于临界线上，并且是简单的
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.136025
F. Stenger
{"title":"All Zeros of the Riemann Zeta Function in the Critical Strip Are Located on the Critical Line and Are Simple","authors":"F. Stenger","doi":"10.4236/apm.2023.136025","DOIUrl":"https://doi.org/10.4236/apm.2023.136025","url":null,"abstract":"In this paper we study the function (","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"14 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79774896","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
Existence and Uniqueness Results for a Fully Third-Order Boundary Value Problem 一类全三阶边值问题的存在唯一性结果
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.138033
Xiaoming Liu, Yongxiang Li
{"title":"Existence and Uniqueness Results for a Fully Third-Order Boundary Value Problem","authors":"Xiaoming Liu, Yongxiang Li","doi":"10.4236/apm.2023.138033","DOIUrl":"https://doi.org/10.4236/apm.2023.138033","url":null,"abstract":"The boundary value problems of the third-order ordinary differential equation have many practical application backgrounds and their some special cases have been studied by many authors. However, few scholars have studied the boundary value problems of the complete third-order differential equations","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"21 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75401259","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
Canonical Treatment of Elliptical Motion 椭圆运动的规范处理
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.139041
Ola A. Jarab’ah
{"title":"Canonical Treatment of Elliptical Motion","authors":"Ola A. Jarab’ah","doi":"10.4236/apm.2023.139041","DOIUrl":"https://doi.org/10.4236/apm.2023.139041","url":null,"abstract":"The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calculate the generalized momentum pθ and we find that this quantity is not conserved and the conjugate θ coordinate is not a cyclic coordinate.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"278 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":"135699211","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 the Inverse Connected p-Median Problem on Block Graphs 关于块图上逆连通p中值问题的一个注记
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.134011
Chun-Hsiang Bai, Liqi Zhang, Jianjie Zhou
{"title":"A Note on the Inverse Connected <i>p</i>-Median Problem on Block Graphs","authors":"Chun-Hsiang Bai, Liqi Zhang, Jianjie Zhou","doi":"10.4236/apm.2023.134011","DOIUrl":"https://doi.org/10.4236/apm.2023.134011","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"35 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84012095","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
Pacman Renormalization in Siegel Parameters of Bounded Type 有界型Siegel参数中的Pacman重整化
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.1310047
Carlos Antonio Marin-Mendoza, Rogelio Valdez-Delgado
{"title":"Pacman Renormalization in Siegel Parameters of Bounded Type","authors":"Carlos Antonio Marin-Mendoza, Rogelio Valdez-Delgado","doi":"10.4236/apm.2023.1310047","DOIUrl":"https://doi.org/10.4236/apm.2023.1310047","url":null,"abstract":"A novel method of renormalization called Pacman renormalization allows us to study (unicritical) Siegel functions through Pacman-type functions. It has been used to investigate the Siegel parameters with combinatorially periodic rotation number in the main cardioid of the Mandelbrot set. It is already known that it can be defined a Pacman renormalization operator such that for Siegel pacmen, with combinatorially periodic rotation numbers, the operator is compact, analytic and has a unique fixed point, at which it is hyperbolic with one-dimensional unstable manifold. In this paper we observe that this Pacman renormalization operator is compact and analytic at any Siegel Pacman or Siegel map with combinatorially bounded rotation number. This allows us to define a renormalization operator on the hybrid classes of the standard Siegel pacmen to which we built its horseshoe where the operator is topologically semiconjugated to the left shift on the space of bi-infinite sequences of natural numbers bounded by some constant.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"28 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":"135156132","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
Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents 具有非平凡幂等的单位环的乘法约当型高阶导数
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.21494/iste.op.2023.0905
A. Kawa, S. N. Hasan, B. Wani
{"title":"Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents","authors":"A. Kawa, S. N. Hasan, B. Wani","doi":"10.21494/iste.op.2023.0905","DOIUrl":"https://doi.org/10.21494/iste.op.2023.0905","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44576398","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
Boundedness for Multilinear Operators of Pseudo-Differential Operators 伪微分算子的多线性算子的有界性
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.7153/JMI-04-20
Lanzhe Liu
{"title":"Boundedness for Multilinear Operators of Pseudo-Differential Operators","authors":"Lanzhe Liu","doi":"10.7153/JMI-04-20","DOIUrl":"https://doi.org/10.7153/JMI-04-20","url":null,"abstract":"We prove the boundedness of the multilinear operators associated to the pseudo- differential operator for the extreme cases.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"96 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76669178","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: 1
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