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A weak method to come close to solution of Goldbach conjecture 逼近哥德巴赫猜想解的一种弱方法
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9938
Pingyuan Zhou
{"title":"A weak method to come close to solution of Goldbach conjecture","authors":"Pingyuan Zhou","doi":"10.12988/imf.2019.9938","DOIUrl":"https://doi.org/10.12988/imf.2019.9938","url":null,"abstract":"In this note we proved that if Ln ≥ Pn − n log n for n ≥ 1 then Ln → ∞ as n → ∞ using the prime number theorem and Rosser theorem, and Goldbach conjecture follows from the result, where Ln is the largest strong Goldbach number generated by the n-th prime Pn and denotes an even number such that every even number from 4 to Ln is the sum of two primes among the first n primes but Ln + 2 is not such a sum. It means Pn − n log n is the smallest possible value of Ln for n ≥ 1 to support Goldbach conjecture, therefore, Goldbach conjecture is true if it can be proven that Ln > Pn − n log n for n ≥ 1. Mathematics Subject Classification: 11A41","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116628312","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
On unbounded order convergence of operator nets 算子网的无界阶收敛性
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912384
Ebru Aydoğan, E. Demir
{"title":"On unbounded order convergence of operator nets","authors":"Ebru Aydoğan, E. Demir","doi":"10.12988/imf.2023.912384","DOIUrl":"https://doi.org/10.12988/imf.2023.912384","url":null,"abstract":"In this study, we investigate uo-convergence of nets of positive continuous operators defined on the topological dual of a completely regular Hausdorff topological space. Firstly, we make the definition of uo-convergence on this class and then we present some characterizations of it","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"269 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125822356","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
Generalizing on C*- algebra valued A - metric space C*-代数值A -度量空间的推广
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/IMF.2019.912
Mushtaq K. Abd Al-Rahem, Zainab H. Abood, Sada Faydh Mohammad
{"title":"Generalizing on C*- algebra valued A - metric space","authors":"Mushtaq K. Abd Al-Rahem, Zainab H. Abood, Sada Faydh Mohammad","doi":"10.12988/IMF.2019.912","DOIUrl":"https://doi.org/10.12988/IMF.2019.912","url":null,"abstract":"Recently, the field of C − Algebra valued A − Metric space be more popular and mentioned in various articles. Concepts of C − Algebra valued A − Metric space introduced in this paper based on the concepts and properties of C − Algebra. Moreover, this work proved some of the fixed point theorems for self –map with contractive. Examples are given to illustrate the results.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124691347","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: 2
Asymmetric semi-volatility spillover in a nonlinear model of interacting markets 相互作用市场非线性模型中的非对称半波动溢出
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912319
Giovanni Campisi, S. Muzzioli
{"title":"Asymmetric semi-volatility spillover in a nonlinear model of interacting markets","authors":"Giovanni Campisi, S. Muzzioli","doi":"10.12988/imf.2022.912319","DOIUrl":"https://doi.org/10.12988/imf.2022.912319","url":null,"abstract":"This paper develops an heterogeneous agents model with fundamentalists and chartists trading in two different speculative markets. It examines whether investors’ behaviour is related to the volatility and its dynamics. We find that investors’ heterogeneity in price trends and trading strategies can significantly explain asymmetry in semi-volatility transmission.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124027750","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
Remarks and conjectures regarding combinatorics of discrete partial functions 关于离散偏函数组合的注释和猜想
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912321
M. Azarian
{"title":"Remarks and conjectures regarding combinatorics of discrete partial functions","authors":"M. Azarian","doi":"10.12988/imf.2022.912321","DOIUrl":"https://doi.org/10.12988/imf.2022.912321","url":null,"abstract":"We discuss combinatorics of discrete relations, (total) functions, and partial functions. For two sets A and B , we present formulas for the calculations of the number of relations from A to B that are not: (i) functions, (ii) one-to-one functions, or (iii) onto functions. W e provide formulas to calculate the number of functions from A to B that are not: (i) one-to-one or (ii) onto. Also, we determine the number of partial and proper partial functions from A to B . Moreover, we state some conjectures and pose questions for the reader. This paper generates numerous integer sequences, some of which can be found in The On-Line Encyclopedia of Integer Sequences (OEIS) .","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129414687","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
Varieties and codes from partial ruled sets 部分规则集的变体和码
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912353
Rita Vincenti
{"title":"Varieties and codes from partial ruled sets","authors":"Rita Vincenti","doi":"10.12988/imf.2023.912353","DOIUrl":"https://doi.org/10.12988/imf.2023.912353","url":null,"abstract":"We construct linear codes from projective systems in a finite projective space, by considering the points of the lines of partial ruled sets. In two complementary subspaces we choose known varieties V and V (cid:48) , V ∼ = V (cid:48) via a projectivity, and study both the linear codes and the varieties arising by connecting corresponding points","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116307719","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: 2
SJF-ring
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2020.91244
R. Mahmood, Khedher J. Khider
{"title":"SJF-ring","authors":"R. Mahmood, Khedher J. Khider","doi":"10.12988/imf.2020.91244","DOIUrl":"https://doi.org/10.12988/imf.2020.91244","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126902300","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
Tensor product of order ideals 序理想的张量积
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2021.912251
O. Gok
{"title":"Tensor product of order ideals","authors":"O. Gok","doi":"10.12988/imf.2021.912251","DOIUrl":"https://doi.org/10.12988/imf.2021.912251","url":null,"abstract":"In this paper, it is shown that tensor product of order ideals is an order ideal. Mathematics Subject Classification: 46A40, 46B28, 06B10, 15A69","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131891940","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
Dissociation number and vertex 3-path cover number of the join of graphs 图的连接的解离数和顶点3路覆盖数
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/IMF.2019.914
Kenneth B. Larena, M. P. Baldado
{"title":"Dissociation number and vertex 3-path cover number of the join of graphs","authors":"Kenneth B. Larena, M. P. Baldado","doi":"10.12988/IMF.2019.914","DOIUrl":"https://doi.org/10.12988/IMF.2019.914","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133466623","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
Solutions to a generalized Fermat equation that has even exponents 具有偶指数的广义费马方程的解
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9835
R. F. Ryan
{"title":"Solutions to a generalized Fermat equation that has even exponents","authors":"R. F. Ryan","doi":"10.12988/imf.2019.9835","DOIUrl":"https://doi.org/10.12988/imf.2019.9835","url":null,"abstract":"The equation x2m+y2n = z2r is considered for positive integer values of m, n, and r. If m, n, and r are not pairwise relatively prime, then there are no solutions to this equation in nonzero integers. Formulas that generate infinitely many solutions to this equation are given when m, n, and r are pairwise relatively prime; the newly discovered formulas tend to yield non-primitive solutions. Along the way, it is shown that x2 + y2n = z2n (or equivalently, z2n − y2n = x2) has no solutions in nonzero integers when n > 1. Mathematics Subject Classification: 11D41","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133039234","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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