发布求助
文献互助 智能选刊 最新文献

African Journal of Mathematics and Computer Science Research最新文献

筛选
英文 中文
Euler-Maruyama method for solving first order uncertain stochastic differential equations 求解一阶不确定随机微分方程的Euler-Maruyama方法
African Journal of Mathematics and Computer Science Research Pub Date : 2023-07-31 DOI: 10.5897/ajmcsr2022.0923
E. C., Adinya I., O. O.
{"title":"Euler-Maruyama method for solving first order uncertain stochastic differential equations","authors":"E. C., Adinya I., O. O.","doi":"10.5897/ajmcsr2022.0923","DOIUrl":"https://doi.org/10.5897/ajmcsr2022.0923","url":null,"abstract":"Two forms of uncertainty are identified to be associated with dynamical systems, which are randomness and belief degree. The uncertain stochastic differential equation (USDE) is used to describe dynamical systems driven simultaneously by randomness and human uncertainty (belief degree). In this paper, the Euler-Maruyama method for solving USDEs is examined. The method is used to solve a stock pricing problem and the results are compared with those of Runge Kutta of order 4. The Euler-Maruyama method yields lower stock prices, while the stock prices from the Runge Kutta method proved to converge faster to those from the analytical method. At α = 0.5 where α ∈ (0, 1), the USDE reverts to the stochastic differential equation, with the uncertain component eliminated, showing that the USDE is indeed a hybrid of the uncertain differential equation and stochastic differential equation.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131875809","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
Curriculum development and evaluation: New dimensions to enriching Mathematics Education in Nigeria 课程开发与评价:丰富尼日利亚数学教育的新维度
African Journal of Mathematics and Computer Science Research Pub Date : 2023-03-31 DOI: 10.5897/ajmcsr2022.0913
S. Iyekekpolor, Uveruveh Francis
{"title":"Curriculum development and evaluation: New dimensions to enriching Mathematics Education \u0000in Nigeria","authors":"S. Iyekekpolor, Uveruveh Francis","doi":"10.5897/ajmcsr2022.0913","DOIUrl":"https://doi.org/10.5897/ajmcsr2022.0913","url":null,"abstract":"This paper makes a case for curriculum development and evaluation. It emphasized the new dimensions to enrich mathematics education in Nigeria. The paper therefore examined the meaning of curriculum. It highlighted issues involved in planning the mathematics education curriculum such as purpose of the curriculum, current knowledge level of students and materials. Also, it examined the practical aspect of developing the mathematics education curriculum as well as the implementation of the mathematics education curriculum and dissemination. Besides, the paper highlighted the evaluation process in mathematics class as well as evaluation problems and solutions in mathematics education. The paper recommended that the opinions of teachers, school authorities and students should be sought in curriculum development in Nigeria as well as field validation and face validation of curriculum materials in mathematics education.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132306632","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
Degree of vertices and number of edges in a mixed graph 混合图中顶点的程度和边的数目
African Journal of Mathematics and Computer Science Research Pub Date : 2023-03-31 DOI: 10.5897/ajmcsr2015.0636
Muzey Mohammed Abdelkadir
{"title":"Degree of vertices and number of edges in a mixed graph","authors":"Muzey Mohammed Abdelkadir","doi":"10.5897/ajmcsr2015.0636","DOIUrl":"https://doi.org/10.5897/ajmcsr2015.0636","url":null,"abstract":"In the study of a graph theory, degrees of vertices and number of edges are among the important theoretical terms that are helpful in showing discrete structures and their properties. This study attempts to present the relationship between number of edges and degrees of vertices in a mixed graph.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124111114","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
Notes on the order of convergence, consistency and stability properties of newly derived schemes 新导出格式的收敛阶、一致性和稳定性
African Journal of Mathematics and Computer Science Research Pub Date : 2023-01-31 DOI: 10.5897/ajmcsr2020.0842
Emmanuel Fadugba Sunday
{"title":"Notes on the order of convergence, consistency and stability properties of newly derived schemes","authors":"Emmanuel Fadugba Sunday","doi":"10.5897/ajmcsr2020.0842","DOIUrl":"https://doi.org/10.5897/ajmcsr2020.0842","url":null,"abstract":"In this paper, two numerical integration methods for solving Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), namely “Third Order One Step Scheme (TOOSS) and Second Order One Step Scheme (SOOSS)” have been considered. The order of convergence, consistency and the stability properties of the schemes have been investigated. From the analyses, it is observed that SOOSS and TOOSS have second order convergence and third order convergence, respectively. It is also observed that both numerical integration methods are consistent and stable. Moreover, three IVPs of stiff differential equations were solved to examine the performance of SOOSS and TOOSS in terms of absolute relative errors. Hence, the numerical results show that TOOSS performs better than SOOSS because of its higher order of accuracy.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116542222","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
Division by zero in real and complex number arithmetic and some of its implications 实数和复数算术中的除零及其含义
African Journal of Mathematics and Computer Science Research Pub Date : 2022-11-30 DOI: 10.5897/ajmcsr2020.0856
Ernest Tafadzwa Chihoro
{"title":"Division by zero in real and complex number arithmetic and some of its implications","authors":"Ernest Tafadzwa Chihoro","doi":"10.5897/ajmcsr2020.0856","DOIUrl":"https://doi.org/10.5897/ajmcsr2020.0856","url":null,"abstract":"In this paper, an attempt is made to include division by zero in ordinary arithmetic. Counting or measuring is done to get the value of multiples, powers, quotients, sums and differences of zeros. Zero divided by zero is taken to be equal to one. There are many infinities and many zeroes. The biggest of all infinities cannot be imagined and the smallest zero cannot be imagined also. An attempt is made to define a mathematical structure from the set of real numbers, zeros and infinities. Some fallacies have been resolved, implications of allowing of division by zero on the quadratic equation where 𝑎 = 0 is discussed and Newton's law of gravity and light deflection by gravity is also discussed.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126778143","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
Moore-Penrose inverse of linear operators in Hilbert space Hilbert空间中线性算子的Moore-Penrose逆
African Journal of Mathematics and Computer Science Research Pub Date : 2022-11-30 DOI: 10.5897/ajmcsr2022.0919
M. J., Kavila M., M. J.
{"title":"Moore-Penrose inverse of linear operators in Hilbert space","authors":"M. J., Kavila M., M. J.","doi":"10.5897/ajmcsr2022.0919","DOIUrl":"https://doi.org/10.5897/ajmcsr2022.0919","url":null,"abstract":"In this paper, we investigate properties of with closed range satisfying the operator equations , , we investigate the invertibility of with closed range where the Moore-Penrose inverse of T turns out to be the usual inverse of T under some classes of operators. We also deduce the Moore-Penrose inverse of a perturbed linear operator with closed range where such that has closed ranges and S satisfying some given conditions. The relation between the ranges and null spaces of these operators is also shown.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123236864","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
One kind of construction on sunflower with two petals* 向日葵上的一种两瓣结构
African Journal of Mathematics and Computer Science Research Pub Date : 2021-01-31 DOI: 10.5897/AJMCSR2020.0855
Ji-Yuo Guo, Guanshu Wang, Baiguang Cai
{"title":"One kind of construction on sunflower with two petals*","authors":"Ji-Yuo Guo, Guanshu Wang, Baiguang Cai","doi":"10.5897/AJMCSR2020.0855","DOIUrl":"https://doi.org/10.5897/AJMCSR2020.0855","url":null,"abstract":"A sunflower (or ∆-system) with k petals and a core Y is a collection of sets S1,⋯, Sk such that Si∩Sj=Y for all i≠j; the sets S1Y,⋯, Sk Y, are petals. In this paper, we first give a sufficient condition for the existence of a sunflower with 2 petals. Let F={A,B,C} be a family of subsets of a set { a1,⋯,am , b1,⋯,bn , c1,⋯,cn } with  and A={a1,⋯,am}, B={ b1,⋯,bn } and C={ c1,⋯,cn } are non-increasing lists of nonnegative integers. Suppose that for each r with    then the family F* contains a sunflower with two petals, where F*={G1 ,G2}, G1=G[Y∪X] and G2=[ Z∪X] are the subgraphs induced respectively by Y∪X and Z∪X with  for all vj Y∪X and   for all vj Z∪X. Moreover, we generalize the consequence to the case of a much more general result. \u0000 \u0000 Key words: Sunflower; family; tripartite graph.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124793389","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 short note on inequalities of interval-valued intuitionistic fuzzy matrices 关于区间值直觉模糊矩阵不等式的一个简短说明
African Journal of Mathematics and Computer Science Research Pub Date : 2019-11-30 DOI: 10.5897/ajmcsr2019.0791
S. Debnath
{"title":"A short note on inequalities of interval-valued intuitionistic fuzzy matrices","authors":"S. Debnath","doi":"10.5897/ajmcsr2019.0791","DOIUrl":"https://doi.org/10.5897/ajmcsr2019.0791","url":null,"abstract":"Inequality, also known as inequation, but unlike equation does not have rich history. After the introduction of equation, inequation captures its popularity in different fields namely algebra, geometry, trigonometry, probability, set theory, fuzzy set theory, logic, calculus etc. Whereas inequalities used in algebra are called algebraic inequalities, the ones used in geometry are called geometric inequalities etc. However, if the same techniques used in solving an equation are used for an inequation, wrong results may be obtained. Unlike equation, it has limited applications. When two quantities or expressions are not the same, then we use inequality and it is written by cross-out equal sign ( ) or . From a logical point of view, there is a difference between  and  . Sometimes we explain inequalities in linguistic form to describe the social values. All the above discussions on inequalities have been done according to the classical sense. In view of the present situation, it is necessary to extend this concept to fuzzy sense. Many researchers and mathematicians have shown the use of inequalities in fuzzy set, intuitionistic fuzzy set, soft set, rough set etc to describe the imprecise data. In this paper, some results related to inequalities of interval-valued intuitionistic fuzzy matrices with respect to algebraic sum and algebraic product were studied and proven. \u0000 \u0000 Key words: Fuzzy matrix, Interval-valued intuitionistic fuzzy matrix, algebraic sum, algebraic product.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122490598","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 air quality composite index based on pollutant concentration factor analysis 基于污染物浓度因子分析的空气质量综合指数
African Journal of Mathematics and Computer Science Research Pub Date : 2019-10-31 DOI: 10.5897/ajmcsr2019.0788
Kai-guang Zhang, Ming-ting Ba, Hong-ling Meng, Yan-min Sun
{"title":"An air quality composite index based on pollutant concentration factor analysis","authors":"Kai-guang Zhang, Ming-ting Ba, Hong-ling Meng, Yan-min Sun","doi":"10.5897/ajmcsr2019.0788","DOIUrl":"https://doi.org/10.5897/ajmcsr2019.0788","url":null,"abstract":"To overcome the problems of Air Quality Index in describing regional short-term air quality status and changing trend, based on the daily average concentrations of six air pollutants affecting regional air quality in Zhengzhou from 2015 to 2018, this paper analyzes their correlation characteristics and defines an air quality composite index instead of the original index by using factor analysis method, which not only extracts all the information of each Individual Air Quality Index, but also eliminates the correlation among them. At last, it analyzes the difference between the two indices in describing regional short-term air quality status and changing trend. \u0000 \u0000 Key words: Air quality index (AQI), individual air quality index (IAQI), correlation coefficient, partial correlation coefficient, information extraction, factor analysis.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114289124","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: 3
Comparative study of the direct and inverse finite element methods for pricing American options 美国期权定价的直接有限元法与逆有限元法比较研究
African Journal of Mathematics and Computer Science Research Pub Date : 2019-02-28 DOI: 10.5897/AJMCSR2018.0754
B. Adegboyegun
{"title":"Comparative study of the direct and inverse finite element methods for pricing American options","authors":"B. Adegboyegun","doi":"10.5897/AJMCSR2018.0754","DOIUrl":"https://doi.org/10.5897/AJMCSR2018.0754","url":null,"abstract":"This paper investigates the computational performance of direct and inverse finite element methods for pricing American options. The underlying concept of the direct approach is similar to that of conventional finite element method. But the inverse approach is a relatively new development that involves trading the roles of financial variables. Based on the same constitutive model and linear elements, a performance analysis of the two approaches is carried out against the benchmark solution. Furthermore, we present experimental results on their accuracy-efficiency trade-off. Results indicate that although both approaches possess good convergence to the benchmark result, the inverse method is more efficient in term of the acceptable computing time and accuracy.     \u0000 \u0000 Key words:  Direct finite elements, Inverse finite elements, American-style options, Black-Scholes  model.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122044853","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信