This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.
{"title":"On fuzzy ωα - closed set in fuzzy topological spaces","authors":"I. Paymalan, Luzviminda A. Ranara","doi":"10.12988/imf.2019.9726","DOIUrl":"https://doi.org/10.12988/imf.2019.9726","url":null,"abstract":"This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"6 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":"127285447","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}
{"title":"Laplace type problem with non uniform distribution","authors":"G. Caristi, E. Saitta, M. Stoka","doi":"10.12988/imf.2019.6799","DOIUrl":"https://doi.org/10.12988/imf.2019.6799","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"25 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131613330","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}
{"title":"Composite numbers with large prime factors","authors":"R. Jakimczuk","doi":"10.12988/IMF.2019.911","DOIUrl":"https://doi.org/10.12988/IMF.2019.911","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"46 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":"133347418","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}
The main aim of this paper is to develop some tools for understanding and explaining the concept of group action on a space and group action on algebra by using subgroups with finite index and both restriction and transfer maps. We extend this concept on quantum field theory.
{"title":"Group action on quantum field theory","authors":"A. Alghamdi, Roa Makki","doi":"10.12988/imf.2019.9728","DOIUrl":"https://doi.org/10.12988/imf.2019.9728","url":null,"abstract":"The main aim of this paper is to develop some tools for understanding and explaining the concept of group action on a space and group action on algebra by using subgroups with finite index and both restriction and transfer maps. We extend this concept on quantum field theory.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"2672 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":"134222617","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}
The numerical range W ( T ) of a complex n × n matrix T is the subset W ( T ) = {(cid:104) T x, x (cid:105) : x ∈ C n , and (cid:107) x (cid:107) = 1 } in the complex plane C , where (cid:104) ., . (cid:105) denotes the usual inner product in C . In this paper a series of tests given, allowing one to determine when the numerical range of a 6 × 6 matrix T is an elliptic disc.
复n × n矩阵T的数值范围W (T)是复平面C中W (T) = {(cid:104) T x, x (cid:105): x∈C n， (cid:107) x (cid:107) = 1}的子集，其中(cid:104) .，。(cid:105)表示C中的通常内积。本文给出了一系列的检验，使人们能够确定6 × 6矩阵T的数值范围何时为椭圆盘。
{"title":"Elliptic numerical range of matrices","authors":"Wlat Hamad Jalal, Ahmed Muhammad","doi":"10.12988/imf.2020.91282","DOIUrl":"https://doi.org/10.12988/imf.2020.91282","url":null,"abstract":"The numerical range W ( T ) of a complex n × n matrix T is the subset W ( T ) = {(cid:104) T x, x (cid:105) : x ∈ C n , and (cid:107) x (cid:107) = 1 } in the complex plane C , where (cid:104) ., . (cid:105) denotes the usual inner product in C . In this paper a series of tests given, allowing one to determine when the numerical range of a 6 × 6 matrix T is an elliptic disc.","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":"115541302","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}
In this paper, a generalization of Rodrigues’s Formula in Weyl space is expressed. Mathematics Subject Classification: 53B25
本文给出了Rodrigues公式在Weyl空间中的推广。数学学科分类:53B25
{"title":"Generalization of Rodrigues' formula in Weyl space","authors":"N. Kofoğlu","doi":"10.12988/imf.2019.9421","DOIUrl":"https://doi.org/10.12988/imf.2019.9421","url":null,"abstract":"In this paper, a generalization of Rodrigues’s Formula in Weyl space is expressed. Mathematics Subject Classification: 53B25","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"8 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":"114186238","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 : 1900-01-01DOI: 10.12988/imf.2022.912318
Ming Xiong
The all current methods of solving linear Diophantine equation and system of linear Diophantine equations have three shortcomings. Based on function thinking we put forward minimum principles to solve them, so that we can solve Generalized Chinese Remainder Problem easily. In order to discriminate accuracy of other methods, we propose basic solution system, the concept of transformation matrix and the concept of equivalence of basic solution systems for homogeneous linear indeterminate equations. This paper is also a classic example that mathematics problems for Post-graduate Students can be solved by only using middle school mathematics. We correct the misunderstanding for Cramer’s rule in mathematics circles too.
{"title":"Solving linear Diophantine equation and simultaneous linear Diophantine equations with minimum principles","authors":"Ming Xiong","doi":"10.12988/imf.2022.912318","DOIUrl":"https://doi.org/10.12988/imf.2022.912318","url":null,"abstract":"The all current methods of solving linear Diophantine equation and system of linear Diophantine equations have three shortcomings. Based on function thinking we put forward minimum principles to solve them, so that we can solve Generalized Chinese Remainder Problem easily. In order to discriminate accuracy of other methods, we propose basic solution system, the concept of transformation matrix and the concept of equivalence of basic solution systems for homogeneous linear indeterminate equations. This paper is also a classic example that mathematics problems for Post-graduate Students can be solved by only using middle school mathematics. We correct the misunderstanding for Cramer’s rule in mathematics circles too.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"111 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120924186","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}
In this paper, we have defined union, hyperasymptotic and hypernormal curves in Weyl space. Mathematics Subject Classification: 53B25
本文定义了Weyl空间中的并曲线、超渐近曲线和超正态曲线。数学学科分类:53B25
{"title":"Union, hyperasymptotic and hypernormal curves in Weyl space","authors":"N. Kofoğlu","doi":"10.12988/imf.2019.9522","DOIUrl":"https://doi.org/10.12988/imf.2019.9522","url":null,"abstract":"In this paper, we have defined union, hyperasymptotic and hypernormal curves in Weyl space. Mathematics Subject Classification: 53B25","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"Suppl 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":"128447121","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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