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ORTHOGONAL GENERALIZED ( 𝜎 , 𝜏 ) (σ,τ)-DERIVATIONS IN SEMIPRIME Γ Γ-NEAR RINGS 口形广义 ( 𝜎 , 𝜏 ) (σ,τ) --半音 Γ Γ --耳环的派生词
Advances in Mathematics: Scientific Journal Pub Date : 2024-07-17 DOI: 10.37418/amsj.13.3.4
V.S.V. Krishna Murty, C. Jaya Subba Reddy, K. Sukanya
{"title":"ORTHOGONAL GENERALIZED ( 𝜎 , 𝜏 ) (σ,τ)-DERIVATIONS IN SEMIPRIME Γ Γ-NEAR RINGS","authors":"V.S.V. Krishna Murty, C. Jaya Subba Reddy, K. Sukanya","doi":"10.37418/amsj.13.3.4","DOIUrl":"https://doi.org/10.37418/amsj.13.3.4","url":null,"abstract":"Consider a 2-torsion-free semiprime (Gamma)-near ring (N). Assume that (sigma) and (tau) are automorphisms on (N). An additive map (d_1: N to N) is called a ((sigma, tau))-derivation if it satisfies [d_1(u alpha v) = d_1(u) alpha sigma(v) + tau(u) alpha d_1(v) ]for all (u, v in N) and (alpha in Gamma). An additive map (D_1: N to N) is termed a generalized ((sigma, tau))-derivation associated with the ((sigma, tau))-derivation (d_1) if [D_1(u alpha v) = D_1(u) alpha sigma(v) + tau(u) alpha d_1(v)]for all (u, v in N) and (alpha in Gamma). Consider two generalizedhspace{0.1cm} ((sigma, tau))-derivations (D_1) and (D_2) on (N). This paper introduces the concept of the orthogonality of two generalized ((sigma, tau))-derivations (D_1) and (D_2) and presents several results regarding the orthogonality of generalized ((sigma, tau))-derivations and ((sigma, tau))-derivations in a (Gamma)-near ring.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"31 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640033","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 NOVEL METHOD FOR SOLVING FULLY FUZZY SOLID TRANSPORTATIONS PROBLEMS 求解全模糊固体输送问题的新方法
Advances in Mathematics: Scientific Journal Pub Date : 2024-07-17 DOI: 10.37418/amsj.13.3.2
H. Bado, L. Diabaté, D. Diawara, L. v
{"title":"A NOVEL METHOD FOR SOLVING FULLY FUZZY SOLID TRANSPORTATIONS PROBLEMS","authors":"H. Bado, L. Diabaté, D. Diawara, L. v","doi":"10.37418/amsj.13.3.2","DOIUrl":"https://doi.org/10.37418/amsj.13.3.2","url":null,"abstract":"In this paper, we proposes a new method for solving solid transportation problem under uncertainty environments. The fully fuzzy solid transportation problem has been formulated. To reduce the model into crisp equivalent, we have used existing method for approximation of fuzzy numbers by interval numbers and its arithmatics. A simplex method and existing method for solving Interval Linear Programming problems are used for solving solid transportation problem with fuzzy parameters and decision variables. Furthermore, for illustration, some numerical examples are used to demonstrate the correctness and usefulness of the proposed method. The proposed algorithm is flexible, easy and reasonable.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"13 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141639923","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
SINGULAR INTEGRAL EQUATIONS FOR A CRACK SUBJECTED NORMAL STRESS IN A HEATED PLATE 受热板材法向应力裂纹的奇异积分方程
Advances in Mathematics: Scientific Journal Pub Date : 2024-07-17 DOI: 10.37418/amsj.13.3.3
S.K. Zhuang, N. N. Nik Long, K. Hamzah, N. Senu
{"title":"SINGULAR INTEGRAL EQUATIONS FOR A CRACK SUBJECTED NORMAL STRESS IN A HEATED PLATE","authors":"S.K. Zhuang, N. N. Nik Long, K. Hamzah, N. Senu","doi":"10.37418/amsj.13.3.3","DOIUrl":"https://doi.org/10.37418/amsj.13.3.3","url":null,"abstract":"In this paper, a crack in a heated plate is investigated, subjected to normal stress. Employing the relationship between the uniform and perturbation fields, as well as complex potential functions and stresses, the problems of heat conduction and heat stress are modeled as singular integral equations. The derivatives of the crack opening displacement function and the temperature jump function serve as the unknown functions. Gauss integration rules are applied to solve the obtained equations numerically. Analysis of the stress intensity factors(SIFs) for some particular crack configurations is presented.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"35 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141639963","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
SOME CHARACTERIZATIONS OF TIMELIKE HELICES WITH THE $F$-CONSTANT VECTOR FIELD IN MINKOWSKI SPACE $E_{1}^{3}$} 闵科夫斯基空间 $e_{1}^{3}$ 中具有 $f$ 恒定向量场的时间螺旋的一些特征｝
Advances in Mathematics: Scientific Journal Pub Date : 2024-07-03 DOI: 10.37418/amsj.13.3.1
Derya Sa˘glam, Duygu Bada
{"title":"SOME CHARACTERIZATIONS OF TIMELIKE HELICES WITH THE $F$-CONSTANT VECTOR FIELD IN MINKOWSKI SPACE $E_{1}^{3}$}","authors":"Derya Sa˘glam, Duygu Bada","doi":"10.37418/amsj.13.3.1","DOIUrl":"https://doi.org/10.37418/amsj.13.3.1","url":null,"abstract":"In this paper we give characterizations of timelike normal, rectifying and osculating helices in Minkowski space $E_{1}^{3}.$ Moreover, we examine the characterization of timelike helices whose axis $U$ perpendicular to the $F$-constant vector field $X$, which is a generalization of these helices$.$","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"80 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682163","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
DIFFERENTIABILITY IN THE FRECHET SENSE OF A FUNCTIONAL RELATED TO A HYPERBOLIC PROBLEM WITH POLYNOMIAL NONLINEARITY 与多项式非线性双曲问题有关的函数的可微分性
Advances in Mathematics: Scientific Journal Pub Date : 2024-06-09 DOI: 10.37418/amsj.13.2.4
D. Ampini, Challoum Dyaus, Elohe Mouanda, C. Mouanda
{"title":"DIFFERENTIABILITY IN THE FRECHET SENSE OF A FUNCTIONAL RELATED TO A HYPERBOLIC PROBLEM WITH POLYNOMIAL NONLINEARITY","authors":"D. Ampini, Challoum Dyaus, Elohe Mouanda, C. Mouanda","doi":"10.37418/amsj.13.2.4","DOIUrl":"https://doi.org/10.37418/amsj.13.2.4","url":null,"abstract":"In this work, we construct a functional related to a hyperbolic problem with polynomial non linearity and homogeneous Neuwman conditions and its differentiability in the Frechet sense.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":" 54","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141367735","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 APPROACH OF MEAN-SETS THEORY FOR NEGATIVELY CURVED CONVEX COMBINATION POLISH METRIC SPACES 负弯曲凸组合抛光度量空间的均值集理论方法
Advances in Mathematics: Scientific Journal Pub Date : 2024-06-05 DOI: 10.37418/amsj.13.2.3
Christophe Fotso, Duplex Elvis, Houpa Danga, Daniel Tieudjo
{"title":"AN APPROACH OF MEAN-SETS THEORY FOR NEGATIVELY CURVED CONVEX COMBINATION POLISH METRIC SPACES","authors":"Christophe Fotso, Duplex Elvis, Houpa Danga, Daniel Tieudjo","doi":"10.37418/amsj.13.2.3","DOIUrl":"https://doi.org/10.37418/amsj.13.2.3","url":null,"abstract":"The choice of a convenient approach to be used is one important issue when attempting to develop methods or obtain results in the setting of Probability on general metric spaces. In this paper, we extend the mean-sets probabilistic approach formally introduced by Mosina on locally finite graphs, and hence (via Cayley graphs) on finitely generated groups, to the field of Negatively Curved Convex Combination Polish (NCCCP) metric spaces. We construct an appropriated Vertex-Weighted Metric (VWM) graph in the framework of this class of geometrical structures. We define a function called convexification function on the direct product of $ n $ copies of the vertex-set of this graph (for a given fixed integer $ ngeq 2$), using the natural convexification operator of the metric space concerned. This function is then used to construct a weighted mean-set that generalizes the notion of convex combination (CC) mean in the sense of Ter{'a}n and Molchanov, the mean-set concept according to Mosina and the ordinary notion of $ k $-means ($kgeq 2$) of independent identically distributed (i.i.d.) random elements of the metric space. Two numerical examples are given for the cases when the metric space $ X= [0,1]$ and $ X=mathbf{R}^{2} $. Moreover, an analogue of the Strong Law of Large Numbers (SLLN), the consistency problem and the Chebyshev's inequality for NCCCP spaces are established.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"51 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141382099","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
SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BY A DEFORMATION BASED SAWI’S TRANSFORM 用基于变形的锯齿变换求解非线性偏微分方程
Advances in Mathematics: Scientific Journal Pub Date : 2024-04-16 DOI: 10.37418/amsj.13.2.1
R. A. Oderinu, K.A. Salaudeen, W.A. Tijani, S.O. Sangoniyi
{"title":"SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BY A DEFORMATION BASED SAWI’S TRANSFORM","authors":"R. A. Oderinu, K.A. Salaudeen, W.A. Tijani, S.O. Sangoniyi","doi":"10.37418/amsj.13.2.1","DOIUrl":"https://doi.org/10.37418/amsj.13.2.1","url":null,"abstract":"In this paper, we propose a new method called Dual Simultaneous Co-Inertia Analysis Type 2 (DSCIA2), which is both a new approach to DSCIA in the context of two horizontal multi-tables and Dual of SCIA2 method. The aim is to study the variability of the proximity between pairs of tables with the same variables, by constructing the common axes of representation of the variables and the individuals simultaneously, i.e. constructing in one go an orthogonal matrix containing the solutions. An example of this method consisting being studied of the compared economic evolution of the countries of the Economic Monetary Community of Central Africa (EMCCA) and the West African Economic Monetary Union(WAEMU) is given.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"346 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140698065","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
INVERSE BOUNDARY PROBLEM FOR THE EQUATION OF FORCED VIBRATIONS OF A CANTILEVER BEAM WITH INTEGRAL CONDITIONS 带积分条件的悬臂梁受迫振动方程的反边界问题
Advances in Mathematics: Scientific Journal Pub Date : 2024-03-24 DOI: 10.37418/amsj.13.1.6
R.M. Taghiyev, S.S. Farajova, A.T. Ramazonova, R. N. Allahverdiyev, M.Y. Shalimov
{"title":"INVERSE BOUNDARY PROBLEM FOR THE EQUATION OF FORCED VIBRATIONS OF A CANTILEVER BEAM WITH INTEGRAL CONDITIONS","authors":"R.M. Taghiyev, S.S. Farajova, A.T. Ramazonova, R. N. Allahverdiyev, M.Y. Shalimov","doi":"10.37418/amsj.13.1.6","DOIUrl":"https://doi.org/10.37418/amsj.13.1.6","url":null,"abstract":"The paper studies the solvability of an inverse boundary value problem with an unknown time-dependent coefficient for the equation of forced vibrations of a cantilever beam with the integral. Bending transverse vibrations of a homogeneous beam under the action of an external force in the absence of rotational motion during bending are described by a fourth-order differential equation. The purpose of the work is to determine the unknown coefficient and solve the problem under consideration. THIS problem under consideration is reduced to an auxiliary equivalent problem. Next, the existence and uniqueness of a solution to the equivalent problem is proved using the contraction mapping principle. As a result, using equivalence, the uniqueness of the existence of the classical solution is proved.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":" 48","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140385715","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 NUMERICAL SOLUTION OF THE FRACTIONAL NAVIER-STOKES EQUATION USING THE CAPUTO-FABRIZIO ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS 利用卡普托-法布里齐奥 Aboodh 变换法与还原微分多项式的分数纳维-斯托克斯方程数值解法
Advances in Mathematics: Scientific Journal Pub Date : 2024-03-21 DOI: 10.37418/amsj.13.1.5
A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya
{"title":"A NUMERICAL SOLUTION OF THE FRACTIONAL NAVIER-STOKES EQUATION USING THE CAPUTO-FABRIZIO ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS","authors":"A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya","doi":"10.37418/amsj.13.1.5","DOIUrl":"https://doi.org/10.37418/amsj.13.1.5","url":null,"abstract":"A combination of the Aboodh transform method and the reduced differential polynomial technique was employed in this work to solve the Navier-Stokes equations with the Caputo-Fabrizio derivative. Two illustrations are presented to show the efficacy of the used method. The results gotten are showcased with the aid of tables and graphs. It is discovered that the results derived are close to the actual solution of the problems illustrated. This work will thus make it simple to study nonlinear process that arise in various aspect of innovations and researches.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":" 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140222032","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 SUB-DEFECT OF HADAMARD PRODUCT OF DOUBLY SUBSTOCHASTIC MATRICES 关于双次随机矩阵哈达积的次缺陷
Advances in Mathematics: Scientific Journal Pub Date : 2024-03-14 DOI: 10.37418/amsj.13.1.4
E. Choi, B. Chao, I. Choi, A. Chung, A. Mermigas, R. Shah
{"title":"ON SUB-DEFECT OF HADAMARD PRODUCT OF DOUBLY SUBSTOCHASTIC MATRICES","authors":"E. Choi, B. Chao, I. Choi, A. Chung, A. Mermigas, R. Shah","doi":"10.37418/amsj.13.1.4","DOIUrl":"https://doi.org/10.37418/amsj.13.1.4","url":null,"abstract":"The emph{sub-defect} of $A$, defined as $mathrm{sd}(A) = lceil n - mbox{sum}(A) rceil,$ is the minimum number of rows and columns required to be added to transform a doubly substochastic matrix into a doubly stochastic matrix. Here, $n$ is the size of $A$ and $mbox{sum}(A)$ is the sum of all entries of matrix $A.$ In this paper, we show that for arbitrary doubly substochastic matrices $A$ and $B$, the Hadamard product $A circ B$ is also a doubly substochastic matrix, and $ max {sd(A),sd(B)}leq sd(A circ B) leq max{n, sd(A)+sd(B)}. $","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"14 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140244126","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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