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Asian Research Journal of Mathematics最新文献

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Irredundant and Almost Irredundant Sets in (mathbb{M}_2)((mathbb{C})) (mathbb{M}_2)((mathbb{C})) 中的冗余集和几乎冗余集
Asian Research Journal of Mathematics Pub Date : 2024-07-16 DOI: 10.9734/arjom/2024/v20i7812
Clayton Suguio Hida
{"title":"Irredundant and Almost Irredundant Sets in (mathbb{M}_2)((mathbb{C}))","authors":"Clayton Suguio Hida","doi":"10.9734/arjom/2024/v20i7812","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i7812","url":null,"abstract":"We consider irredundant and almost irredundant subsets in the *-algebra (mathbb{M}_2)((mathbb{C})) of all 2 X 2 matrices with coefficients in (mathbb{C}). We prove that the largest size of an irredundant subset is two, and that (mathbb{M}_2)((mathbb{C})) has an infinite almost irredundant subset.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"10 41","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640274","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
Modeling HIV-HBV Co-infection Dynamics: Stochastic Differential Equations and Matlab Simulation with Euler-Maruyama Numerical Method HIV-HBV 协同感染动力学建模：随机微分方程和采用欧拉-马鲁山数值法的 Matlab 仿真
Asian Research Journal of Mathematics Pub Date : 2024-07-11 DOI: 10.9734/arjom/2024/v20i7811
Mirgichan Khobocha James, C. Ngari, Stephen Karanja, Robert Muriungi
{"title":"Modeling HIV-HBV Co-infection Dynamics: Stochastic Differential Equations and Matlab Simulation with Euler-Maruyama Numerical Method","authors":"Mirgichan Khobocha James, C. Ngari, Stephen Karanja, Robert Muriungi","doi":"10.9734/arjom/2024/v20i7811","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i7811","url":null,"abstract":"HIV/AIDS and Hepatitis B co-infection complicates population dynamics and brings forth a wide range of clinical outcomes which makes it a difficult situation for public health. In particular designing treatment plans for the co-infection. A Stochastic Differential Equation (SDE) model is a special class of a stochastic model with continuous parameter space and continuous state space. Deterministic model lacks randomness while an SDE model accounts for randomness and uncertainties. In this study, an SDE model was formulated from an existing deterministic model to examine the variability of dynamic behavior. The analysis and numerical schemes were derived based on Euler-Maruyama SDE algorithms. The model utilized epidemiological insights with current developments in mathematical modeling approaches to represent the interaction between these two viruses. Matlab software was used to obtain SDE numerical results alongside the deterministic solution. Descriptive statistics of the sample paths indicated that the variability of infection outcomes oscillates around the deterministic trajectory. None of the sample paths are absorbed during the time steps. This shows the persistence of the co-infection in the population, in particular  The variability of the infections ranges between 1.972 and 202.4, being lowest in AIDS infectives and highest in acute Hepatitis B infectives. An indication that variability cannot be ignored in designing control interventions of co-infections. These results provide new insights into the dynamics of co-infection through in-depth research and simulation, which helps to understand the inherent nature of deterministic model by incorporating the stochastic effects. These understanding will further help the policy makers in health sector to take care of the variability and uncertainty in designing treatment and management strategies.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"63 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141658333","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
Finite-Time Synchronization of Fractional-Order Quaternion-Valued Neural Networks under Aperiodically Intermittent Control: A Non-Separation Method 非周期间歇控制下分数阶四元数值神经网络的有限时间同步：一种非分离方法
Asian Research Journal of Mathematics Pub Date : 2024-07-06 DOI: 10.9734/arjom/2024/v20i7810
Xinlong Zhang
{"title":"Finite-Time Synchronization of Fractional-Order Quaternion-Valued Neural Networks under Aperiodically Intermittent Control: A Non-Separation Method","authors":"Xinlong Zhang","doi":"10.9734/arjom/2024/v20i7810","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i7810","url":null,"abstract":"This article mainly focuses on investigating finite-time synchronization(FTS) of fractional-order quaternionvalued neural networks(FOQVNNs) with time-varying delay via aperiodically intermittent control. Firstly, a new group of fractional differential inequalities during aperiodically intermittent times is proposed, which provides a formula for calculating stable time (tilde{t}) related to a parameter (varpi) about aperiodically intermittent control strategy. It can make the stable time (tilde{t}) even shorter than that of many existing literature results. Secondly, the theoretical analysis of the entire paper is conducted in a nonseparable method, and a quaternion-valued aperiodically intermittent controller based on 1-norm is directly designed to ensure the synchronization of FOQVNNs. By constructing a suitable Lyapunov function, the FTS criterion is derived. Finally, the validity of the proposed theoretical results is confirmed by numerical simulations.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":" 40","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141672802","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
Conditions of Safe Dominating Set in Some Graph Families 某些图族中安全支配集的条件
Asian Research Journal of Mathematics Pub Date : 2024-06-14 DOI: 10.9734/arjom/2024/v20i6807
Devine Fathy Mae S. Grino, I. S. Jr.
{"title":"Conditions of Safe Dominating Set in Some Graph Families","authors":"Devine Fathy Mae S. Grino, I. S. Jr.","doi":"10.9734/arjom/2024/v20i6807","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i6807","url":null,"abstract":"Let X be an arbitrary Banach space. For a nontrivial connected graph G and nonempty subset S (subseteq) V (G), S is a safe dominating set of G if and only if S is a dominating set of G and every component X of G[S] and every component Y of G[V (G) S] adjacent to X, |X| (ge) |Y|. Moreover, S is called a minimum safe dominating set if S is a safe dominating set of the smallest size in a given graph. The cardinality of the minimum safe dominating set of G is the safe domination number of G, denoted by (gamma s)(G). In this paper, we characterized the safe dominating set and determine its corresponding safe domination number in some special classes of graphs.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141342338","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
Correlates of Ghanaian Teachers' Understanding of Mathematics Strands and Cognitive Domains in Basic Education Certificate Examination 加纳教师对基础教育证书考试中数学分支和认知领域理解的相关性
Asian Research Journal of Mathematics Pub Date : 2024-06-13 DOI: 10.9734/arjom/2024/v20i6806
Osei-Asibey Eunice
{"title":"Correlates of Ghanaian Teachers' Understanding of Mathematics Strands and Cognitive Domains in Basic Education Certificate Examination","authors":"Osei-Asibey Eunice","doi":"10.9734/arjom/2024/v20i6806","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i6806","url":null,"abstract":"In the field of mathematics education, it is essential to grasp teachers' competence in recognizing cognitive domains, as it plays a pivotal role in elevating teaching methods, evaluation techniques, and ultimately enhancing student academic achievements. This study examines the proficiency of basic school teachers in Ghana in identifying the cognitive domains of mathematics questions using Bloom's Taxonomy. A sample of 338 teachers from across the regions of Ghana participated, selected through random sampling. Teachers were assessed using a set of 50 Basic Education Certificate Examination (BECE) past questions spanning a decade (2010-2022), covering Algebra, Geometry and Measurement, Data, and Number strands. Participants categorized each question according to Bloom's Taxonomy. Poisson regression analysis and Confirmatory Factor Analysis were employed to evaluate teachers' proficiency. Results indicated a statistically significant intercept term, suggesting a baseline performance level among teachers. Significant interaction effects between demographic and professional characteristics (Class:category, Class:SchTyp, TeachEx:SchTyp, TeachEx:Domain, and the main effect of Domain) influenced teachers' ability to identify mathematics domains. Teaching experience positively influenced scores, while school type had a negative impact. The model demonstrated high discriminatory power and strong predictive performance with an AUC of 0.996. Dependency analysis revealed that understanding Bloom's taxonomy domains influenced the identification of mathematics strands. Primary level teachers’ consistently demonstrated higher proficiency compared to Junior High School (JHS) level teachers. Additionally, experienced and qualified professionals performed better than pupil teachers. These findings highlight the importance of targeted interventions and professional development programs to enhance teachers' competency in identifying mathematics domains, thus improving mathematics education in Ghana.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"43 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141349742","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
Persistent Homology in Solar Production 太阳能生产中的持久同源性
Asian Research Journal of Mathematics Pub Date : 2024-06-10 DOI: 10.9734/arjom/2024/v20i6805
Revathi G, G. Ilango
{"title":"Persistent Homology in Solar Production","authors":"Revathi G, G. Ilango","doi":"10.9734/arjom/2024/v20i6805","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i6805","url":null,"abstract":"Persistent homology, an algebraic topology-based mathematical framework, presents an innovative method for capturing and characterizing the inherent topological features present in time series datasets. The research aims to evaluate the efficacy of features derived from persistent homology in enhancing the accuracy and interpretability of classification models. This investigation contributes to the expanding convergence of topology and time series analysis, providing valuable insights into the potential of persistent homology for extracting information from temporal data. The study specifically focuses on the analysis of region-wise solar production data obtained from India for the year 2022. The examination of this data is conducted using R-Software, and the resulting topological properties are represented through persistent diagrams.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":" 56","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141365798","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
Deciding Satisfiability in the Twinkling of an Eye 转眼间决定可满足性
Asian Research Journal of Mathematics Pub Date : 2024-06-07 DOI: 10.9734/arjom/2024/v20i6804
Okoh Ufuoma
{"title":"Deciding Satisfiability in the Twinkling of an Eye","authors":"Okoh Ufuoma","doi":"10.9734/arjom/2024/v20i6804","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i6804","url":null,"abstract":"The question as to whether a CNF Boolean formula is satisfiable is referred to as Boolean satisfiability problem (SAT). For decades now, this problem has attracted a great deal of attention. A well-known algorithm for solving this problem is the DPLL algorithm. However, this algorithm may run in an exponential (long) time. The great plan embraced in this work is to show how the satisfiability of any CNF Boolean formula can be decided in a very short time. This is achieved by the modification of the DPLL algorithm and the introduction of a quick algorithm.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":" 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141371021","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
Advancing Numerical Methods of Block Multi-Derivative Approaches for ODEs of Various Orders 推进针对各种阶数 ODE 的块状多衍生数值方法
Asian Research Journal of Mathematics Pub Date : 2024-06-07 DOI: 10.9734/arjom/2024/v20i6803
B. Olabode, S. Kayode, O. J. Olatubi, A. Momoh
{"title":"Advancing Numerical Methods of Block Multi-Derivative Approaches for ODEs of Various Orders","authors":"B. Olabode, S. Kayode, O. J. Olatubi, A. Momoh","doi":"10.9734/arjom/2024/v20i6803","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i6803","url":null,"abstract":"This work presents advancing numerical methods of block multi-derivative approaches for ordinary differential equations (ODEs) of Various Orders. The derivation of the methods is achieved by applying the techniques of interpolation and collocation to a power series polynomial, which is considered an approximate solution to the problems. Higher derivative terms are introduced to improve the accuracy of the method, giving room to modify the method for solving second and third-order initial value problems (IVPs) of ordinary differential equations (ODEs). Details conformation of the block method is presented, showing that the method is zero stable, consistent and convergent. The method is applied block-by-block to first, second and third-order initial value problems (IVPs) of ordinary differential equations. The application of the method to a real-life example also yields accurate results.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"8 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141375555","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
Equal Sums of Four Even Powers 四个偶数的相等和
Asian Research Journal of Mathematics Pub Date : 2024-06-06 DOI: 10.9734/arjom/2024/v20i5802
Kimtai Boaz Simatwo
{"title":"Equal Sums of Four Even Powers","authors":"Kimtai Boaz Simatwo","doi":"10.9734/arjom/2024/v20i5802","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i5802","url":null,"abstract":"Let u, v, w, z,  k, m and I be any integers such that k = z - w = w - v = v - u . The study of integer I for which I = u2n + v2n + w2n + z2n = k2 + m2 + r2 is not known. This study is therefore, set to partially overcome this challenge by introducing new formula relating sums of four even powers as an exact sum of three squares.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"54 s186","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141376374","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
Novel Idea on Edge-Ultrafilter and Edge-Tangle 关于边缘超滤器和边缘纠结的新想法
Asian Research Journal of Mathematics Pub Date : 2024-04-11 DOI: 10.9734/arjom/2024/v20i4794
Takaaki Fujita
{"title":"Novel Idea on Edge-Ultrafilter and Edge-Tangle","authors":"Takaaki Fujita","doi":"10.9734/arjom/2024/v20i4794","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i4794","url":null,"abstract":"The study of width parameters holds significant interest in both graph theory and algebraic settings. Among these, the tree-cut decomposition stands out as a key metric. The \"Edge-tangle\" concept is closely related to the \"tree-cut width\" width parameter in graph theory. This obstruction is often seen as vital for creating effective algorithms to calculate graph width, with the edge-tangle being the specific obstruction for tree-cut width. Meanwhile, the idea of an \"Ultrafilter\" is well-established in topology and algebra.  Due to their versatile nature, ultrafilters hold significant and broad-ranging importance. In this paper, we introduce a new concept called Edge-Ultrafilters for graphs and demonstrate how they are equivalent to Edge-tangles.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"3 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140712799","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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