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PROPERTIES OF THE FORMAL CONTEXT OF ORTHOMODULAR LATTICES 正模格的形式背景的性质
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-20 DOI: 10.37418/amsj.11.10.8
S. Shabnam, Ramananda Hs, Harsha Aj
{"title":"PROPERTIES OF THE FORMAL CONTEXT OF ORTHOMODULAR LATTICES","authors":"S. Shabnam, Ramananda Hs, Harsha Aj","doi":"10.37418/amsj.11.10.8","DOIUrl":"https://doi.org/10.37418/amsj.11.10.8","url":null,"abstract":"Let $L$ be a finite Orthomodular Lattice and $T$ be the Formal Context of $L$. Then, considering $T$ as a binary symmetric matrix, we find the determinant of the formal context of the atomic amalgam $B_n+B_m$ of two Boolean algebras $mathbf{B_{n}}$ and $mathbf{B_{m}}$ consisting of $n$ and $m$ atoms, respectively using the Schur complement formulacite{p28}. We present the proofs of some preliminary results on the determinant of the context table of the Boolean algebra $B_{n}$ and the characteristic polynomial of $B_{n}$. These preliminary results are used in many applications in graph theory.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124750915","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 COMBINATION OF ORTHOGONAL POLYNOMIALS SEQUENCES: 2-5 TYPE RELATION 正交多项式序列的组合:2-5型关系
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-19 DOI: 10.37418/amsj.11.10.7
A. Belkebir, M. Bouras
{"title":"A COMBINATION OF ORTHOGONAL POLYNOMIALS SEQUENCES: 2-5 TYPE RELATION","authors":"A. Belkebir, M. Bouras","doi":"10.37418/amsj.11.10.7","DOIUrl":"https://doi.org/10.37418/amsj.11.10.7","url":null,"abstract":"In the present paper, a new characterization of the orthogonality of a monic polynomials sequence $left{ Q_{n}right} _{ngeq 0}$ is obtained. This is defined as a linear combination of another monic orthogonal polynomials sequence $left{ P_{n}right} _{ngeq 0}$ such as% begin{equation*} Q_{n}(x)+r_{n}Q_{n-1}(x)=P_{n}(x)+s_{n}P_{n-1}(x)+t_{n}P_{n-2}left( xright) +v_{n}P_{n-3}left( xright) +w_{n}P_{n-4}(x), ngeq 0 end{equation*}% where $w_{n}r_{n}neq 0,$ for every $ngeq 5.$ Futhermore, the relation between the corresponding linear functionals is showed to be begin{equation*} kleft( x-cright) u=left( x^{4}+ax^{3}+bx^{2}+dx+eright) v end{equation*}% where $c,$ $a,$ $b,$ $d,$ $ein mathbb{C}$ and $kin mathbb{C}backslash{0}.$ Finally, an illustration using special case of the above type relation is given.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125409603","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 COMMON FIXED POINT THEOREM IN MENGER SPACE WITH COMPATIBLE MAPPING OF TYPE (K) (k)型相容映射的menger空间中的公共不动点定理
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-18 DOI: 10.37418/amsj.11.10.6
A.J. Chaudhary, K. Jha, K. B. Manandhar
{"title":"A COMMON FIXED POINT THEOREM IN MENGER SPACE WITH COMPATIBLE MAPPING OF TYPE (K)","authors":"A.J. Chaudhary, K. Jha, K. B. Manandhar","doi":"10.37418/amsj.11.10.6","DOIUrl":"https://doi.org/10.37418/amsj.11.10.6","url":null,"abstract":"The notion of compatible mappings of type $(K)$ in metric space has been introduced by K. Jha, V. Popa, and K.B. Manandhar in 2014. In this paper, we use Meir-Keeler contractive type condition and establish a common fixed point theorem in Menger probabilistic metric space by using compatible mappings of type $(K)$. Our results generalize and improve several similar known results in the literature.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"258 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116239603","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
GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS $(p,q)$-微积分中$n^{th}$-阶OPIAL不等式的推广
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-15 DOI: 10.37418/amsj.11.10.5
M. M. Iddrisu, B. Abubakari, J. López-Bonilla
{"title":"GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS","authors":"M. M. Iddrisu, B. Abubakari, J. López-Bonilla","doi":"10.37418/amsj.11.10.5","DOIUrl":"https://doi.org/10.37418/amsj.11.10.5","url":null,"abstract":"We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114420901","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
GRAPHIC TOPOLOGY ON FUZZY GRAPHS 模糊图上的图形拓扑
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-14 DOI: 10.37418/amsj.11.10.4
A. M. Alzubaidi, M. Dammak
{"title":"GRAPHIC TOPOLOGY ON FUZZY GRAPHS","authors":"A. M. Alzubaidi, M. Dammak","doi":"10.37418/amsj.11.10.4","DOIUrl":"https://doi.org/10.37418/amsj.11.10.4","url":null,"abstract":"In this paper, we study the graphic topology $mathcal{T}_{G}$ for a fuzzy graph. We give some properties of this topology, in particular we prove that $mathcal{T}_{G}$ is an Alexandroff topology and when two graphs are isomorphic, their graphic topologies will be homeomorphic. We give some properties matching graphs and homeomorphic topology spaces. Finally, we investigate the connectedness of this topology and some relations between the connectedness of the graph and the topology $mathcal{T}_{G}$.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116823336","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
A NOTE ABOUT THE WAY TO GENERATE SINGULAR MATRIX 关于奇异矩阵生成方法的注意事项
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-14 DOI: 10.37418/amsj.11.10.3
E. Gómez–Déniz
{"title":"A NOTE ABOUT THE WAY TO GENERATE SINGULAR MATRIX","authors":"E. Gómez–Déniz","doi":"10.37418/amsj.11.10.3","DOIUrl":"https://doi.org/10.37418/amsj.11.10.3","url":null,"abstract":"In this brief note, we provide, as far as we know, a simple way to demonstrate that when we multiply $ktimes n$ matrix with $ntimes k$ one, for $k>n$, we always obtain singular $ktimes k$ matrix as a result. Some additional results are also provided.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"238 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123740215","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 DOMINATION AND INDEPENDENT SETS OF G^M_{m,n} GRAPH 图G^M_{m,n}的支配和独立集
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-10 DOI: 10.37418/amsj.11.10.2
K. Sravanthi, S. Parvathi
{"title":"ON THE DOMINATION AND INDEPENDENT SETS OF G^M_{m,n} GRAPH","authors":"K. Sravanthi, S. Parvathi","doi":"10.37418/amsj.11.10.2","DOIUrl":"https://doi.org/10.37418/amsj.11.10.2","url":null,"abstract":"In graph theory, the theory of domination has several applications in various fields of science and technology, which is considered as a turn up field of research. In real life, it is extremely important in fields like network desigh, wireless sensor networks,logistics, mobile computing, telecommunication and others, Problems with facility location, communication or electrical network monitoring can lead to dominance. Undirected graphs is one of the most excellent models in connection with distributed computation and parellel processing. A set $Ssubset V$ is said to be a dominating set of a graph $G$ if every vertex in $ V-S $ is adjacent to atleast one vertex in $S$. The domination number $gamma{(G)}$ of the graph $ G $ is the minimum cardinality of a dominating set of $ G $. An independent dominating set $ S subset V $ is exists if no edges in the induced subgraph $langle S rangle$ and the independent dominating number $gamma_i(G)$ is the minimum cardinality of an independent dominating set of $ G $. in this paper, some results on dominating sets and independent dominating sets of $uppercase{G}^{M}_{m,n}$ graph on a finite sebset of natural numbers are presented and the domination numbers are obtained for various values of $m,n$.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"65 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120817533","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
EQUIVALENT DEFINITIONS OF MULTIVECTOR FIELDS ON WEIL BUNDLE 井束上多向量场的等价定义
Advances in Mathematics: Scientific Journal Pub Date : 2022-10-06 DOI: 10.37418/amsj.11.10.1
N.V. Borhen, M.M. Norbert, M. Ange
{"title":"EQUIVALENT DEFINITIONS OF MULTIVECTOR FIELDS ON WEIL BUNDLE","authors":"N.V. Borhen, M.M. Norbert, M. Ange","doi":"10.37418/amsj.11.10.1","DOIUrl":"https://doi.org/10.37418/amsj.11.10.1","url":null,"abstract":"In this paper, we generalize the notion of vector fields on Weil bundle. Let $qgeq 2$ be an integer, we give equivalent definitions of a $q$-vector field on Weil bundle in terms of $q$-derivations. Further, we construct a Lie graded algebra structure of multivector fields on Weil bundle.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"202 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121069187","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
UNIVERSAL ATTRACTOR FOR A NONLOCAL REACTION-DIFFUSION PROBLEM WITH DYNAMICAL BOUNDARY CONDITIONS 具有动态边界条件的非局部反应扩散问题的泛吸引子
Advances in Mathematics: Scientific Journal Pub Date : 2022-09-29 DOI: 10.37418/amsj.11.9.4
S. Boussaïd
{"title":"UNIVERSAL ATTRACTOR FOR A NONLOCAL REACTION-DIFFUSION PROBLEM WITH DYNAMICAL BOUNDARY CONDITIONS","authors":"S. Boussaïd","doi":"10.37418/amsj.11.9.4","DOIUrl":"https://doi.org/10.37418/amsj.11.9.4","url":null,"abstract":"A nonlocal reaction-diffusion equation is presented in this article, based on a model proposed by J. Rubinstein and P. Sternberg [6] with a nonlinear strictly monotone operator. A dynamical boundary condition is considered, rather then the usual ones such as Neumann or Dirichlet boundary conditions. The well-posedness and the existence of a universal attractor of this problem, which describes the long time behavior of the solution, are established.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131443470","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
EPICONVERGENCE OF A SEQUENCE OF INTEGRAL FUNCTIONALS DEFINED ON H^1(A) h ^1(a)上定义的整泛函序列的渐收敛性
Advances in Mathematics: Scientific Journal Pub Date : 2022-09-21 DOI: 10.37418/amsj.11.9.3
M. Brahimi, M. Laouar
{"title":"EPICONVERGENCE OF A SEQUENCE OF INTEGRAL FUNCTIONALS DEFINED ON H^1(A)","authors":"M. Brahimi, M. Laouar","doi":"10.37418/amsj.11.9.3","DOIUrl":"https://doi.org/10.37418/amsj.11.9.3","url":null,"abstract":"In this paper, we are interested by the study of asymptotic behaviour of the sequence of integral functionals using the direct method.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116779777","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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