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Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 5 《Journal of Mathematics Research》第15卷第5期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-10-19 DOI: 10.5539/jmr.v15n5p77
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 5","authors":"Sophia Wang","doi":"10.5539/jmr.v15n5p77","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p77","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 5","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135667300","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
Food Security, Welfare, and Sustainability in Canada -Mathematical Conceptual Foundation 加拿大的食品安全、福利和可持续性——数学概念基础
International Journal of Mathematics in Operational Research Pub Date : 2023-10-18 DOI: 10.5539/jmr.v15n5p73
Ghana Gomaa A. Mohamed
{"title":"Food Security, Welfare, and Sustainability in Canada -Mathematical Conceptual Foundation","authors":"Ghana Gomaa A. Mohamed","doi":"10.5539/jmr.v15n5p73","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p73","url":null,"abstract":"This manuscript provides a mathematical approach to measuring food security, linking it mathematically to the concept of social welfare over time to figure out the impact of food security on the transitional dynamism of social welfare. The utilized mathematical approach in this manuscript is essential as a foundation for further research on food insecurity/ security, consumer behaviour, and social welfare over time.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135825486","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
Volume and Surface of the Hypersphere 超球的体积和表面
International Journal of Mathematics in Operational Research Pub Date : 2023-10-17 DOI: 10.5539/jmr.v15n5p69
Vlad L. Negulescu
{"title":"Volume and Surface of the Hypersphere","authors":"Vlad L. Negulescu","doi":"10.5539/jmr.v15n5p69","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p69","url":null,"abstract":"This paper presents a simply method to calculate the volume and the surface of a hypersphere, and is mainly addressed to students who study physics or engineering. The basic knowledges of geometry and mathematical analysis are sufficient to understand the material presented below.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136034693","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 Transmission Dynamics Model of COVID-19 With Consideration of the Vulnerability of a Population 考虑人群脆弱性的COVID-19传播动力学模型
International Journal of Mathematics in Operational Research Pub Date : 2023-10-17 DOI: 10.5539/jmr.v15n5p47
Patricia Adjeley Laryea, F. T. Oduro, Christopher Saaha Bornaa, Samuel Okyere
{"title":"A Transmission Dynamics Model of COVID-19 With Consideration of the Vulnerability of a Population","authors":"Patricia Adjeley Laryea, F. T. Oduro, Christopher Saaha Bornaa, Samuel Okyere","doi":"10.5539/jmr.v15n5p47","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p47","url":null,"abstract":"A well documented characteristic of COVID-19 is that whereas certain infected individuals recover without ever showing symptoms, others regarded as vulnerable, usually age with comorbidities tend to succumb to more or less severe symptoms. To address pertinent issues, we formulate an $SEI_{A}I_{S}RS$ Transmission Dynamics model of COVID-19 where $I_{A}$ and $I_{S}$ respectively represent asymptomatic and symptomatic classes thus allowing the inclusion of parameters which are vulnerability sensitive. We define a vulnerability factor, $phi$ and show that the model is globally asymptotically stable at the disease-free equilibrium when $mathcal{R}_{0}<1$ and $phi$ is appropriately bounded above. We also show that the model is globally asymptotically stable at the endemic equilibrium when $mathcal{R}_{0}>1$ and $phi$ is appropriately bounded below. Finally, we employ numerical analysis using Ghana data, to further illustrate the effect of vulnerability related parameter  values on the trajectories of key variables of the model. We thereby demonstrated that  if a dominantly young population is of sufficiently low vulnerability then $mathcal{R}_{0}<1$, and the Transmission Dynamics exhibits global asymptotic stability at the disease-free equilibrium.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136033675","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
Note on the Classification of the Unitary $rm{SL}_2(mathbb{R})$ Representations 一元$rm{SL}_2(mathbb{R})$表示的分类注释
International Journal of Mathematics in Operational Research Pub Date : 2023-10-16 DOI: 10.5539/jmr.v15n5p22
Amjad Alghamdi
{"title":"Note on the Classification of the Unitary $rm{SL}_2(mathbb{R})$ Representations","authors":"Amjad Alghamdi","doi":"10.5539/jmr.v15n5p22","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p22","url":null,"abstract":"The aim of this paper is to explain the classification of the unitary SL_2(R) representations done by Gelfand by using the induced representation technique. We induce the SL_2(R) representation from the subgroup N. We get a representation constructed on a space of homogeneous functions in two variables. Then, we move to induce the SL_2(R) representation in stages. Consequently, the representation of SL_2(R) acts on a space of functions of one variable.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136142152","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 Implications of Ignoring Competing Risk in Survival Analysis: The Case of the Product-Limit Estimator 在生存分析中忽略竞争风险的含义:以产品极限估计器为例
International Journal of Mathematics in Operational Research Pub Date : 2023-10-16 DOI: 10.5539/jmr.v15n5p1
Joseph Acquah, Senyefia Bosson-Amedenu, Eric Adubuah
{"title":"On the Implications of Ignoring Competing Risk in Survival Analysis: The Case of the Product-Limit Estimator","authors":"Joseph Acquah, Senyefia Bosson-Amedenu, Eric Adubuah","doi":"10.5539/jmr.v15n5p1","DOIUrl":"https://doi.org/10.5539/jmr.v15n5p1","url":null,"abstract":"Although the Kaplan-Meier (KM) is a single event model, it is frequently used in literature with datasets that are assumed to be cause-specific without any proper verification. It is crucial to evaluate the implication of this on the probability estimates. This study compares the estimates of the cumulative incidence functions to the complement of the product-limit estimator (1-KM). The KM was found to inflate probability estimates when the dataset is unverified for competing risk. Estimates with lower standard errors and a larger area under the Receiver Operation Characteristic (ROC) curve were related to datasets verified for competing events, while estimates with datasets unverified for competing risk had lower area under the ROC curve and higher standard errors. The results support the idea that since the product-limit estimator is a cause-specific model, it naturally performs better for a single event model than in the case of several events; hence, it is necessary to verify the dataset for competing events. The findings of this study clearly suggest that before choosing a modelling strategy, one should confirm competing risks in the survival dataset.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136143108","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
Hermite Finite Element Method for Variable Coefficient Damping Beam Vibration Problem 变系数阻尼梁振动问题的Hermite有限元法
International Journal of Mathematics in Operational Research Pub Date : 2023-07-31 DOI: 10.5539/jmr.v15n4p81
Xinxin Sun, Ailing Zhu, Zhe Yin
{"title":"Hermite Finite Element Method for Variable Coefficient Damping Beam Vibration Problem","authors":"Xinxin Sun, Ailing Zhu, Zhe Yin","doi":"10.5539/jmr.v15n4p81","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p81","url":null,"abstract":"Beam is the most common component in mechanical equipment and construction. The heterogeneous beam and the variable cross-section beam both have good structural performance. In this study, a Hermite finite element method is proposed for variable coefficient damping beam vibration. The first-order time derivative is approximated by the Richardson format, the second-order time derivative is approximated by the central difference method, and the fully discrete scheme is obtained. The variable coefficients are processed, the error estimate is analyzed in detail. Finally, we verify the validity of the scheme by Matlab and observe influence of damping coefficient variation on beam vibration.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75070145","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
Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 4 《Journal of Mathematics Research》第15卷第4期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-07-31 DOI: 10.5539/jmr.v15n4p92
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 4","authors":"Sophia Wang","doi":"10.5539/jmr.v15n4p92","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p92","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 4","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86302944","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
Linear Maps Preserving Inverses of Tensor Products of Hermite Matrices 保持Hermite矩阵张量积逆的线性映射
International Journal of Mathematics in Operational Research Pub Date : 2023-07-28 DOI: 10.5539/jmr.v15n4p75
Shuang Yan, Yang Zhang
{"title":"Linear Maps Preserving Inverses of Tensor Products of Hermite Matrices","authors":"Shuang Yan, Yang Zhang","doi":"10.5539/jmr.v15n4p75","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p75","url":null,"abstract":"Let C be a complex field, H_{m_1m_2} be a linear space of tensor products of Hermite matrices H_{m_1}⊗H_{m_2} over C , and suppose m_{1}, m_2≥2 are positive integers. A linear map f :H_{m_1m_2} → H_n is called a linear inverse preserver if f( X_{1} ⊗X_{2} )^{-1}= f( X_{1}⊗X_{2}) ^{-1} ) for arbitrary invertible matrix X_{1} ⊗ X_{2}∈ H_{m_{1}m_{2}} .The aim of this paper is to characterize the linear maps preserving inverses of tensor products of Hermite matrices.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73985285","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
Bounds Problems in a Class of Quasi-conformal Maps 一类拟共形映射的界问题
International Journal of Mathematics in Operational Research Pub Date : 2023-07-27 DOI: 10.5539/jmr.v15n4p56
R. E. Okandze, Brayker Tendresse Kalouhohiko
{"title":"Bounds Problems in a Class of Quasi-conformal Maps","authors":"R. E. Okandze, Brayker Tendresse Kalouhohiko","doi":"10.5539/jmr.v15n4p56","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p56","url":null,"abstract":"In this paper, an analogue of Bieberbach’s distortion theorem has been proposed, in a class of quasi-conformal maps.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80841707","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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