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Non-tangential maximal moduli and harmonic functions on the upper half plane (part 1) 上半平面上的非切极大模与调和函数(第1部分)
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/PMS.2021.91225
Hon-Ming Ho, K. Li
{"title":"Non-tangential maximal moduli and harmonic functions on the upper half plane (part 1)","authors":"Hon-Ming Ho, K. Li","doi":"10.12988/PMS.2021.91225","DOIUrl":"https://doi.org/10.12988/PMS.2021.91225","url":null,"abstract":"In this paper, we present some nice theorems on non-tangential maximal moduli associated to real-valued harmonic functions on the upper half plane. Some necessary and sufficient conditions using nontangential moduli to characterize real parts of holomorphic functions with their boundary value functions having smoothness of high order will be presented in this paper and the second paper.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","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":"114311023","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 invertibility characterization on star-like cyclicpoid CyPω*n finite partial transformation semigroups 类星形环类CyPω*n有限部分变换半群的乘法可逆性
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2021.91276
S. A. Akinwunmi, M. Mogbonju, A. Adeniji
{"title":"Multiplicative invertibility characterization on star-like cyclicpoid CyPω*n finite partial transformation semigroups","authors":"S. A. Akinwunmi, M. Mogbonju, A. Adeniji","doi":"10.12988/pms.2021.91276","DOIUrl":"https://doi.org/10.12988/pms.2021.91276","url":null,"abstract":"","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"35 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":"130725579","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
(t,r) Broadcast domination number of the join and corona of graphs (t,r)图的连接和电晕的广播支配数
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2022.91282
Jefry O. Narvasa, Jorhee Ronald S. Calumba, Giselle Alvarez, Michael P. Baldado Jr., Rosario C. Abrasaldo, Joselito D. Pamor, H. V. Inoferio
{"title":"(t,r) Broadcast domination number of the join and corona of graphs","authors":"Jefry O. Narvasa, Jorhee Ronald S. Calumba, Giselle Alvarez, Michael P. Baldado Jr., Rosario C. Abrasaldo, Joselito D. Pamor, H. V. Inoferio","doi":"10.12988/pms.2022.91282","DOIUrl":"https://doi.org/10.12988/pms.2022.91282","url":null,"abstract":"Let G be a graph and u, v ∈ V ( G ). If t ∈ N , then the reception strength of u with respect to t and v is given by r tv ( u ) = t − d ( u, v ) if t ≥ d ( u, v ) and r tv ( u ) = 0 if t < d ( u, v ). If S ⊆ V ( G ), then the reception strength of u with respect to t and S is given by P v ∈ S r tv ( u ). We say that S is a ( t, r ) broadcast dominating set in G if the reception strength of u with respect to t and S is greater than or equal r for all vertices u . The ( t, r ) broadcast domination number of G is the minimum cardinality of a ( t, r ) broadcast dominating set of G . In this paper, we gave the ( t, r ) broadcast domination number of paths, cycles, complete graphs, the join of two arbitrary graphs, and the corona of two arbitrary graphs.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"16 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":"126945094","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
Hypernormal matrices 超常的矩阵
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2021.91277
Bob Roohparvar, Farzan Roohparvar, M. Malek
{"title":"Hypernormal matrices","authors":"Bob Roohparvar, Farzan Roohparvar, M. Malek","doi":"10.12988/pms.2021.91277","DOIUrl":"https://doi.org/10.12988/pms.2021.91277","url":null,"abstract":"An n×n real matrix A is hypernormal if AP A t = A tP A , for all permutation matrices P . We shall explain how to construct hypernormal matrices.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"40 4 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":"115501789","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 derivations of finite dimensional dendriform algebras 有限维树形代数的导数
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2019.91111
Yousuf Alkhezi, M. A. Fiidow
{"title":"On derivations of finite dimensional dendriform algebras","authors":"Yousuf Alkhezi, M. A. Fiidow","doi":"10.12988/pms.2019.91111","DOIUrl":"https://doi.org/10.12988/pms.2019.91111","url":null,"abstract":"In this paper deals with the low-dimensional cases of dendriform algebras derivations. We give an algorithm to find the derivation algebras. Then the algorithm is applied to find the basic derivations of dendriform algebras. The characteristically nilpotency of dendriform algebras has also been studied. The results are given in the form of tables.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"120 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":"134015641","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
Features of propositional logic 命题逻辑的特点
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2021.91275
A. M. Al-Odhari
{"title":"Features of propositional logic","authors":"A. M. Al-Odhari","doi":"10.12988/pms.2021.91275","DOIUrl":"https://doi.org/10.12988/pms.2021.91275","url":null,"abstract":"Logic is an old branch of knowledge; we shall be occupied in this paper with the symbolic logic (or also known as mathematical logic). Propositional logic is a branch of symbolic logic which based on bivalence of classical logic. which it was focused in the beginning on two central problems of logic as formal. Namely, how to decide the given conclusion derived from certainly premises is valid or invalid argument. Recently, it plays role in applications in computer sciences and Engineering. To be able to deciding some known facts about mathematical argument, structure programming. We need logic information's. In This present paper, we highlight features of propositional logic, validity, deduction, consistence, sounds, completing and reducible in propositional logic system (PLS), by strict manner mathematical proofs.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","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":"126349916","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
Classical and Bayesian estimation for Topp Leone inverse Rayleigh distribution Topp Leone逆瑞利分布的经典估计和贝叶斯估计
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/PMS.2019.923
Maha A. Aldahlan
{"title":"Classical and Bayesian estimation for Topp Leone inverse Rayleigh distribution","authors":"Maha A. Aldahlan","doi":"10.12988/PMS.2019.923","DOIUrl":"https://doi.org/10.12988/PMS.2019.923","url":null,"abstract":"","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"36 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":"131194575","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
On the Norm of a Generalized Derivation 关于广义导数的范数
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2019.9810
Odero Adhiambo Beatrice, J. O. Agure, F. Nyamwala
{"title":"On the Norm of a Generalized Derivation","authors":"Odero Adhiambo Beatrice, J. O. Agure, F. Nyamwala","doi":"10.12988/pms.2019.9810","DOIUrl":"https://doi.org/10.12988/pms.2019.9810","url":null,"abstract":"Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A,B ∈ B(H), the map δAB : B(H)→ B(H) is a generalized inner derivation operator induced by A and B defined by δAB(X) = AX −XB (1) In this paper we show that the norm of a generalized inner derivation operator is given by ‖(δAB/B(B(H)))‖ = ‖A‖+‖B‖ for all A,B ∈ B(H). Mathematics Subject Classification: Primary 47A30, Secondary 47L25","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"29 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":"132670686","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
Soft characterisations of regular ordered semigroups 正则有序半群的软特征
Pure Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.12988/pms.2022.91283
Howida Adel Alfran
{"title":"Soft characterisations of regular ordered semigroups","authors":"Howida Adel Alfran","doi":"10.12988/pms.2022.91283","DOIUrl":"https://doi.org/10.12988/pms.2022.91283","url":null,"abstract":"Let U be an initial universe set and let S be an ordered semigroup. The concepts of int-soft left, int-soft right ideals, int-soft quasi-ideal and int soft bi-ideal on S were introduced in [5]. In this paper, we study these ideas by providing an equivalent definition of soft right, soft left ideals and soft quasi-ideals. Based on this idea, we show that S is regular if and only if ( α ◦ β, S ) = ( α (cid:101) β, S ) for every soft right ideal ( α, S ) and every soft left ideal ( β, S ) over U , and the soft right and the soft left ideals over U are idempotent and for each soft right ideal ( α, S ) and each soft left ideal ( β, S ) over U , the soft set ( α ◦ β, S ) is a soft quasi-ideal over U .","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","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":"129099038","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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