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Galoitica: Journal of Mathematical Structures and Applications最新文献

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A Study of the Eigenvalues of the Matrix Of Distance Reciprocals in K[r, n-r] And The Cycle C_n K[r, n-r]中距离倒数矩阵的特征值及循环C_n的研究
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.060201
Lee Xu
{"title":"A Study of the Eigenvalues of the Matrix Of Distance Reciprocals in K[r, n-r] And The Cycle C_n","authors":"Lee Xu","doi":"10.54216/gjmsa.060201","DOIUrl":"https://doi.org/10.54216/gjmsa.060201","url":null,"abstract":"This paper Deals with the complete bipartite graph K(r, n-r) and the cycle . The matrix of concern is the matrix B which is the (n, n) matrix and whose non zero entries are the reciprocals of the non zero entries of the distance matrix D. A complete characterization of the spectrum of B and a set of n independent eigenvectors of B will be presented. Two special cases will be mentioned, namely the star K(1, n-1) and the graph K(2, n-2). We will also look at the case of infinite graph, i. e if the size n grows big while r stays finite. Finally, some numerical data will be presented. As for the cycle, we present the complete set of eigenvalues of the matrix B.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"95 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":"115658895","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 Study of Novel Algebraic Game Over Some Finite Groups and Open Problems 一类有限群和开放问题上的新型代数对策研究
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.010104
Mohammad Abobala
{"title":"A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems","authors":"Mohammad Abobala","doi":"10.54216/gjmsa.010104","DOIUrl":"https://doi.org/10.54216/gjmsa.010104","url":null,"abstract":"This paper uses the algebraic structure of the group to introduce a novel algebraic game with three players that occurs over finite groups. Also, it analyzes this game over some finite groups with orders up to ten.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","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":"125807875","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
An S-Original Algebraic Property Of Lie Algebras 李代数的一个s原始代数性质
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.060104
Lee Xu
{"title":"An S-Original Algebraic Property Of Lie Algebras","authors":"Lee Xu","doi":"10.54216/gjmsa.060104","DOIUrl":"https://doi.org/10.54216/gjmsa.060104","url":null,"abstract":"This paper is dedicated to answer the following question:If L is a Lie algebra over a field with characteristic zero, and if S is an original property in Lie algebras class, then does S is a characteristic ideal of L?.For this goal, we have proved many related theorems, and illustrated some examples.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"163 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":"125976481","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
Random Numbers Generation and Goodness-of-Fit Testing for Literal Neutrosophic Numbers 中性粒细胞字面数的随机数生成和拟合优度检验
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.040201
M. B. Zeina, Mohamad Taher Anan, Yousef Marjamak
{"title":"Random Numbers Generation and Goodness-of-Fit Testing for Literal Neutrosophic Numbers","authors":"M. B. Zeina, Mohamad Taher Anan, Yousef Marjamak","doi":"10.54216/gjmsa.040201","DOIUrl":"https://doi.org/10.54216/gjmsa.040201","url":null,"abstract":"This paper presents an algorithm for generating random numbers that follow literal neutrosophic distributions using algebraic isomorphisms. The algorithm was applied to three distributions: literal neutrosophic uniform distribution, literal neutrosophic exponential distribution, and literal neutrosophic normal distribution. We also proposed a development of the Kolmogorov-Smirnov test to analyze goodness-of-fit for literal neutrosophic data. To evaluate the effectiveness of the proposed method, a simulation study was conducted, and the power results showed that increasing the sample size improved the test power. Our research contributes to the development of statistical methods for analyzing literal neutrosophic data, which has applications in a wide range of fields.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"74 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":"126164055","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 Some Applications and Open Problems about (m-Groups) 关于(m-群)的一些应用和开放问题
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.010105
O. V. Shtawzen
{"title":"On Some Applications and Open Problems about (m-Groups)","authors":"O. V. Shtawzen","doi":"10.54216/gjmsa.010105","DOIUrl":"https://doi.org/10.54216/gjmsa.010105","url":null,"abstract":"The generalizations of abelian groups have been studied widely because of their importance in classification theorem and representation. A group G is called an m-power closed group or (m-group) if and only if it has the following property xm ym=zm ∀x,y ∈ G and for z ∈ G. This paper studies a special case of m-groups, when G is a finite m-group and n-group at the same time with relatively prime integers m and n, which is called a Monic group. It presents the necessary and sufficient conditions for a monic group G to be cyclic, abelian, nilpotent, and solvable by the corresponding property of its power subgroups Gm , Gn. Also, this work introduces three open problems in the theory of finite groups.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"320 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":"129572969","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 Some Results About the Asymptotic Behaviour for Some Non-Homogeneous and Non-Linear Differential Equations with A Laplacian p≥1 关于一类拉普拉斯算子p≥1的非齐次非线性微分方程渐近性的一些结果
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.030202
Josef Al Jumayel
{"title":"On Some Results About the Asymptotic Behaviour for Some Non-Homogeneous and Non-Linear Differential Equations with A Laplacian p≥1","authors":"Josef Al Jumayel","doi":"10.54216/gjmsa.030202","DOIUrl":"https://doi.org/10.54216/gjmsa.030202","url":null,"abstract":"In this paper, we study the global existence and the asymptotic behaviour for the solutions of the following non-linear and non-homogeneous differential equation with order 3 and with a Laplacian p≥1 〖〖〖〖[|u〗^(ˊˊ) (t)|〗^(p-1) u〗^(ˊˊ) (t)]〗^ˊ+f(t,u(u))=e(t) ;p≥1 Where t→+∞. Also, we get the solutions of (1), which the type of the asymptotic behaviour of the global solutions is at^2+bt+c; t→+∞, a,b,c ∈R ;a ≠0","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","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":"127292052","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 Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order 一类二阶偏微分方程边值问题解的唯一性和存在性的注记
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.030201
Josef Al Jumayel
{"title":"A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order","authors":"Josef Al Jumayel","doi":"10.54216/gjmsa.030201","DOIUrl":"https://doi.org/10.54216/gjmsa.030201","url":null,"abstract":"Most physical mathematical problems, when solved, turn into one or more partial differential equations with imposed initial conditions or boundary conditions . This is known as the boundary value problems of differential equations .This research studies the solution of the set of Partial Differential Equations of parabolic and hyperbolic-hyperbolic type with boundary conditions imposed in different regions of the plane x o y This research has been proving the theorem of uniqueness and the existence of the solution.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"2 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":"132998714","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 Intersections Based on Joint Observables In Fuzzy Probability 模糊概率中基于联合观测的交叉口
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.050203
Murat Ozcek
{"title":"The Intersections Based on Joint Observables In Fuzzy Probability","authors":"Murat Ozcek","doi":"10.54216/gjmsa.050203","DOIUrl":"https://doi.org/10.54216/gjmsa.050203","url":null,"abstract":"“Fuzzy probability theory” appeared as a smooth extension of classical probability theory in 1995. It was expected that it will be of great importance in quantum mechanics, but the theory doesn’t keep its development as it was expected. This necessitates revising some of its fundamental basic concepts. We argue that if quantum probability theory should have less constrained than classical probability theory as can be seen in the case of joint random variables, we surely need to weaken the definition of the intersection operation. In this paper, discuss the definition validity in quantum probability theory and to discuss the consistency of the given definitions with the whole theory and the possibility to have a more suitable definition.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"38 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":"123114806","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 The Improving Of Routing Protocols In Ad-Hoc Network By Using Optimization Algorithms 用优化算法改进Ad-Hoc网络中的路由协议
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.070103
Taher Ahmed Jubbori
{"title":"On The Improving Of Routing Protocols In Ad-Hoc Network By Using Optimization Algorithms","authors":"Taher Ahmed Jubbori","doi":"10.54216/gjmsa.070103","DOIUrl":"https://doi.org/10.54216/gjmsa.070103","url":null,"abstract":"In this paper, a novel improved method is presented to perform the local repair process of AntHocNet protocol. In the novel proposed method, in the case of failed connection, the node that checks the connection looks for the link that leads to node which follows the out-of-service node instead of the destination node. If it is existed, then the path will be repaired and completed quickly.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"18 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":"122790383","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 Some Applications of Gamma Function 关于函数的一些应用
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.040103
Josef Al Jumayel
{"title":"On Some Applications of Gamma Function","authors":"Josef Al Jumayel","doi":"10.54216/gjmsa.040103","DOIUrl":"https://doi.org/10.54216/gjmsa.040103","url":null,"abstract":"In this paper we study the gamma function and its representation for complex variable, using either a series or an appropriate integral and its applications in solving some types of Integral Equations and their relation to the Riemann zeta function.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"14 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":"130335913","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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