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International Journal of Mathematics in Operational Research最新文献

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Mathematical Modeling Through the Eyes of Elementary and Middle Preservice Teachers 中小学职前教师眼中的数学建模
International Journal of Mathematics in Operational Research Pub Date : 2023-07-27 DOI: 10.5539/jmr.v15n4p62
Reuben S. Asempapa, D. Sturgill, Y. Gunpinar
{"title":"Mathematical Modeling Through the Eyes of Elementary and Middle Preservice Teachers","authors":"Reuben S. Asempapa, D. Sturgill, Y. Gunpinar","doi":"10.5539/jmr.v15n4p62","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p62","url":null,"abstract":"Mathematical modeling is a useful pedagogy in mathematics education, but preservice teachers (PSTs) conceptualization of the teaching and learning of modeling practices is an ongoing concern. This research study examined 31 elementary and middle grades PSTs’ conceptualization of mathematical modeling and their experiences with such modeling. The study participants were recruited from two, four-year university mathematics methods courses located in northeastern and midwestern United States. Data for this study was collected through a questionnaire and analyzed using qualitative and quantitative methods. Results indicated that most of the PSTs had little understanding of the intersection of mathematical modeling, and the teaching and learning of mathematics. As such, many perceived mathematical modeling as an exclusive action reserved for teachers. Additionally, the results revealed that most participants had minimal, if any, experience with mathematical modeling. These limited experiences portrayed mathematical modeling as a show and tell method or step-by-step explanation. Our results expand the inadequate research into elementary and middle grades PSTs’ knowledge of and experiences in mathematical modeling and warrant the exigency for the inclusion of extensive mathematical modeling practices into methods and content courses for PSTs. The directions for future research and implications for researchers and teacher education programs are also discussed.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90206623","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
Origin Point Must Represent Critical Line as Location for Nontrivial Zeros of Riemann Zeta Function, and Set Prime Gaps With Subsets 黎曼ζ函数非平凡零点的原点必须表示临界线，并集有子集的素数间隙
International Journal of Mathematics in Operational Research Pub Date : 2023-07-04 DOI: 10.5539/jmr.v15n4p1
John Y. C. Ting
{"title":"Origin Point Must Represent Critical Line as Location for Nontrivial Zeros of Riemann Zeta Function, and Set Prime Gaps With Subsets","authors":"John Y. C. Ting","doi":"10.5539/jmr.v15n4p1","DOIUrl":"https://doi.org/10.5539/jmr.v15n4p1","url":null,"abstract":"We prove the Countably Infinite Subsets of odd primes have cardinality of Arbitrarily Large in Number. This is achieved by demonstrating the asymptotic law of distribution of prime numbers that involves natural logarithm function to be applicable to all these subsets of odd primes derived from every even Prime gaps which are again Arbitrarily Large in Number. We prove the location for Countably Infinite Set of nontrivial zeros computed using Dirichlet eta function (proxy function for Riemann zeta function) is the unique critical line. This is achieved by plotting the infinitely many colinear lines of Riemann zeta function using both critical line and non-critical lines.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87409854","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. 3 《Journal of Mathematics Research》第15卷第3期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-06-26 DOI: 10.5539/jmr.v15n3p69
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 3","authors":"Sophia Wang","doi":"10.5539/jmr.v15n3p69","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p69","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 3","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"107 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78109044","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
European Barrier Range Accrual Option Pricing Formula Deduction and the Corresponding American Range Option Numerical Value Simulation 欧式障碍区间应计期权定价公式推导及相应的美式区间期权数值模拟
International Journal of Mathematics in Operational Research Pub Date : 2023-06-26 DOI: 10.5539/jmr.v15n3p64
Yang Zhenhao, DaiZhen Wei
{"title":"European Barrier Range Accrual Option Pricing Formula Deduction and the Corresponding American Range Option Numerical Value Simulation","authors":"Yang Zhenhao, DaiZhen Wei","doi":"10.5539/jmr.v15n3p64","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p64","url":null,"abstract":"European Range Accrual Option pricing and deviation Formula has been deduced through observing the foundational asset probabilistic distribution characteristics with the help of Ito’s lemma, and through relaxing the boundary assumption to infinity and zero respectively, the classical Black-Scholes option formula has been worked out. This paper subsequently articulates the numerical value simulated computation algorithm using logic program language for the corresponding demonstration. From a statistical point of view, the American range option is not definitely more valuable than the corresponding European range option and the difference between their deviations is significant.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85734190","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
Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term 阻尼剪切梁模型的指数稳定性及有关具有分布延迟项的经典Timoshenko系统的新事实
International Journal of Mathematics in Operational Research Pub Date : 2023-06-01 DOI: 10.5539/jmr.v15n3p45
Innocent Ouedraogo, G. Bayili
{"title":"Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term","authors":"Innocent Ouedraogo, G. Bayili","doi":"10.5539/jmr.v15n3p45","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p45","url":null,"abstract":"We consider in this manuscript  a Timoshenko type beam model with a distributed delay term.  If the distributed delay term is small enough, we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This result is obtained by introducing a suitable Lyapounov function.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74280666","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
Non-Imaginary unit Circle and Distribution Odd Natural Numbers 非虚单位圆与奇自然数分布
International Journal of Mathematics in Operational Research Pub Date : 2023-06-01 DOI: 10.5539/jmr.v15n3p25
Shaimaa said soltan
{"title":"Non-Imaginary unit Circle and Distribution Odd Natural Numbers","authors":"Shaimaa said soltan","doi":"10.5539/jmr.v15n3p25","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p25","url":null,"abstract":"This paper introduces a non-Imaginary unit circle partitioning as proof for the distribution of odd natural numbers in relation to an imaginary unit circle in a complex plane. First, we will introduce the concept of a non-imaginary unit circle and its relation to an imaginary unit circle in a complex plane. Then we will go through some examples to prove that for any N odd natural number at N/2, we only have the imaginary part for any complex number on the complex plane if we use our technique of portioning for the non-imaginary unit circle.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"129 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75510755","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 Note on Harris Extended Generalized Exponential Distribution 关于Harris广义指数分布的一个注记
International Journal of Mathematics in Operational Research Pub Date : 2023-05-30 DOI: 10.5539/jmr.v15n3p1
Oseghale Osezuwa Innocent, Ayoola Femi Joshua, Oluwole Adegoke Nuga
{"title":"A Note on Harris Extended Generalized Exponential Distribution","authors":"Oseghale Osezuwa Innocent, Ayoola Femi Joshua, Oluwole Adegoke Nuga","doi":"10.5539/jmr.v15n3p1","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p1","url":null,"abstract":"We introduce a four-parameter extension of the exponential distribution, which has the Exponentiated exponential, Marshall-Olkin exponential, and exponential distribution as sub-models. The proposed distribution has two important properties: it involves more parameters than the baseline model to obtain more flexibility and the extra parameters have a clear interpretation and representation. The proposed model is more flexible than any of its sub-models. Its probability density function can be monotone increasing, decreasing, or unimodal and its associated hazard rate may be increasing, decreasing, unimodal or bathtub-shaped. Statistical expression is obtained for certain structural statistical properties such as ordinary and incomplete moments, moment generating function, order statistics, quantile function, reliability function, and Renyi entropy. The maximum likelihood estimation method is used to obtain the estimates of the model parameters. An application of the new model to two lifetime data demonstrates the flexibility of the model.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135643239","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 Properties of Extending Hypermodules and C_11-Hypermodules 扩展超模和c_11 -超模的一些性质
International Journal of Mathematics in Operational Research Pub Date : 2023-05-29 DOI: 10.5539/jmr.v15n3p13
Chokchai Wongyai, Sajee Pianskool
{"title":"Some Properties of Extending Hypermodules and C_11-Hypermodules","authors":"Chokchai Wongyai, Sajee Pianskool","doi":"10.5539/jmr.v15n3p13","DOIUrl":"https://doi.org/10.5539/jmr.v15n3p13","url":null,"abstract":"In this paper, we present extending hypermodules and C_11-hypermodules, and then investigate some properties of these hypermodules. Especially, characterizations of extending hypermodules and characterizations of C_11-hypermodules are provided. Moreover, decompositions of C_11-hypermodules involving projection invariant subhypermodules are studied.","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135832217","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. 2 《Journal of Mathematics Research》第15卷第2期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-04-11 DOI: 10.5539/jmr.v15n2p128
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 2","authors":"Sophia Wang","doi":"10.5539/jmr.v15n2p128","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p128","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 2","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81248306","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. 2 《Journal of Mathematics Research》第15卷第2期审稿人致谢
International Journal of Mathematics in Operational Research Pub Date : 2023-04-11 DOI: 10.5539/jmr.v15n2p129
Sophia Wang
{"title":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 2","authors":"Sophia Wang","doi":"10.5539/jmr.v15n2p129","DOIUrl":"https://doi.org/10.5539/jmr.v15n2p129","url":null,"abstract":"Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 15, No. 2","PeriodicalId":38619,"journal":{"name":"International Journal of Mathematics in Operational Research","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135478464","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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