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Advances in Pure and Applied Mathematics最新文献

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Mathematical Foundations of Sustainable Economy Development 经济可持续发展的数学基础
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.136024
N. Gonchar
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引用次数: 0
An Introduction to the Theory of Field Extensions 场扩展理论导论
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.132006
Saviour Chibeti, Iness Kyapwanyama, Henry M. Phiri, Jeromy Kalunga
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引用次数: 0
Multiplicity of Solutions for a Class of Noncooperative Elliptic Systems 一类非合作椭圆系统解的多重性
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.139040
Xinxue Zhang, Guanggang Liu
{"title":"Multiplicity of Solutions for a Class of Noncooperative Elliptic Systems","authors":"Xinxue Zhang, Guanggang Liu","doi":"10.4236/apm.2023.139040","DOIUrl":"https://doi.org/10.4236/apm.2023.139040","url":null,"abstract":"In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in RN with smooth boundary ∂Ω, λ,δ,γ are real parameters, and . We assume that F is subquadratic at zero with respect to the variables u,v. By using a variant Clark’s theorem, we obtain infinitely many nontrivial solutions (uk,vk) with as k → ∞. Compared with the existing literature, we do not need to assume the behavior of the nonlinearity ∇F at infinity.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"38 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":"135599314","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
Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers 奇数或素数的乘积可以生成费马大定理的三元族，该定理适用于两个以上自然数的平方和
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.1310043
Susmita Pramanik, Deepak Kumar Das, Panchanan Pramanik
{"title":"Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers","authors":"Susmita Pramanik, Deepak Kumar Das, Panchanan Pramanik","doi":"10.4236/apm.2023.1310043","DOIUrl":"https://doi.org/10.4236/apm.2023.1310043","url":null,"abstract":"Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that An + Bn = Cn, in which n is a natural number greater than 2. We have shown that any product of two odd numbers can generate Fermat or Pythagoras triple (A, B, C) following n = 2 and also it is applicable A2 + B2 + C2 + D2 + so on =An2 where all are natural numbers.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"68 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":"136053406","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
Estimating the Components of a Mixture of Extremal Distributions under Strong Dependence 强依赖下极值分布混合分量的估计
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.137027
C. Crisci, G. Perera, L. Sampognaro
{"title":"Estimating the Components of a Mixture of Extremal Distributions under Strong Dependence","authors":"C. Crisci, G. Perera, L. Sampognaro","doi":"10.4236/apm.2023.137027","DOIUrl":"https://doi.org/10.4236/apm.2023.137027","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"65 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76747653","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
Estimating Sums of Convergent Series via Rational Polynomials 用有理多项式估计收敛级数的和
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.134012
S. Beji
{"title":"Estimating Sums of Convergent Series via Rational Polynomials","authors":"S. Beji","doi":"10.4236/apm.2023.134012","DOIUrl":"https://doi.org/10.4236/apm.2023.134012","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90807469","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
Zak transform for groupoids with abelian isotropy 具有阿贝尔各向同性群类群的Zak变换
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.21494/iste.op.2023.0904
Ibrahima Toure, K. Kangni
{"title":"Zak transform for groupoids with abelian isotropy","authors":"Ibrahima Toure, K. Kangni","doi":"10.21494/iste.op.2023.0904","DOIUrl":"https://doi.org/10.21494/iste.op.2023.0904","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":"47422327","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 Key to Solving the Angle Trisection Problem 求解角三分问题的关键
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.139042
Lyndon O. Barton
{"title":"A Key to Solving the Angle Trisection Problem","authors":"Lyndon O. Barton","doi":"10.4236/apm.2023.139042","DOIUrl":"https://doi.org/10.4236/apm.2023.139042","url":null,"abstract":"This paper describes the methodology (or approach) that was key to the solution of the angle trisection problem published earlier in article entitled, “A Procedure For Trisecting An Acute Angle.” It was an approach that required first, designing a working model of a trisector mechanism, second, studying the motion of key elements of the mechanism and third, applying the fundamental principles of kinematics to arrive at the desired results. In presenting these results, since there was no requirement to provide a detailed analysis of the final construction, this information was not included. However, now that the publication is out, it is considered appropriate as well as instructive to explain more fully the mechanism analysis of the trisector in graphical detail, as covered in Section 3 of this paper, that formed the basis of the long sought solution to the age-old Angle Trisection Problem.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"475 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":"135798647","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
About the Strange Tree Paradox and Possible Inconsistency of Set Theory 关于集合论的奇异树悖论和可能的不一致
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.1310048
Yury M. Volin
{"title":"About the Strange Tree Paradox and Possible Inconsistency of Set Theory","authors":"Yury M. Volin","doi":"10.4236/apm.2023.1310048","DOIUrl":"https://doi.org/10.4236/apm.2023.1310048","url":null,"abstract":"The existence of “strange trees” is proven and their paradoxical nature is discussed, due to which set theory is suspected of being contradictory. All proofs rely on informal set-theoretic reasoning, but without using elements that were prohibited in axiomatic set theories in order to overcome the difficulties encountered by Cantor’s naive set theory. Therefore, in fact, the article deals with the possible inconsistency of existing axiomatic set theories, in particular, the ZFC theory. Strange trees appear when uncountable cardinals appear.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"26 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":"135261422","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
The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems 黄金比例定理:复杂系统中互换性和自相似性的框架
Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4236/apm.2023.139038
Alessandro Rizzo
{"title":"The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems","authors":"Alessandro Rizzo","doi":"10.4236/apm.2023.139038","DOIUrl":"https://doi.org/10.4236/apm.2023.139038","url":null,"abstract":"The Golden Ratio Theorem, deeply rooted in fractal mathematics, presents a pioneering perspective on deciphering complex systems. It draws a profound connection between the principles of interchangeability, self-similarity, and the mathematical elegance of the Golden Ratio. This research unravels a unique methodological paradigm, emphasizing the omnipresence of the Golden Ratio in shaping system dynamics. The novelty of this study stems from its detailed exposition of self-similarity and interchangeability, transforming them from mere abstract notions into actionable, concrete insights. By highlighting the fractal nature of the Golden Ratio, the implications of these revelations become far-reaching, heralding new avenues for both theoretical advancements and pragmatic applications across a spectrum of scientific disciplines.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"70 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":"135555998","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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