{"title":"The Hille Yosida Theorem for Conformable Fractional Semi-Groups of Operators","authors":"S. Al-Sharif, M. Horani, R. Khalil","doi":"10.35834/2021/3301018","DOIUrl":"https://doi.org/10.35834/2021/3301018","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45705889","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}
Let $n$ a be positive integer. The Catalan matrix of order $n$, denoted by $mathscr{C}_n[x]$, is a lower triangular Toeplitz matrix whose nonzero elements are expressions containing Catalan numbers and a real parameter $x$. In this paper, we investigate the multiplicative order of the cyclic group generated by $mathscr{C}_n[x]$ (for $xinmathbb{N}$) modulo a positive integer $m$.
{"title":"The Cyclic Groups Generated by Catalan Matrices","authors":"Phichet Jitjankarn, S. Wananiyakul","doi":"10.35834/2021/3301001","DOIUrl":"https://doi.org/10.35834/2021/3301001","url":null,"abstract":"Let $n$ a be positive integer. The Catalan matrix of order $n$, denoted by $mathscr{C}_n[x]$, is a lower triangular Toeplitz matrix whose nonzero elements are expressions containing Catalan numbers and a real parameter $x$. In this paper, we investigate the multiplicative order of the cyclic group generated by $mathscr{C}_n[x]$ (for $xinmathbb{N}$) modulo a positive integer $m$.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"33 1","pages":"1-9"},"PeriodicalIF":0.4,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47833039","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}
When mortality statistics are reported for fatal diseases, they reflect the ratio of the overall mortality within the target population which is impacted from the disease in question. Reporting overall mortality leads to erroneous predictions since cohorts with different frailties are impacted at different rates. In this paper, we study methods for predicting mortality under varying conditions with the goal of removing the impact of hidden heterogeneity from the parameter estimates.
{"title":"Mortality Modeling Under Stochastic Frailty","authors":"Kazi Tanvir Hasan, Olcay Akman","doi":"10.35834/2021/3301105","DOIUrl":"https://doi.org/10.35834/2021/3301105","url":null,"abstract":"When mortality statistics are reported for fatal diseases, they reflect the ratio of the overall mortality within the target population which is impacted from the disease in question. Reporting overall mortality leads to erroneous predictions since cohorts with different frailties are impacted at different rates. In this paper, we study methods for predicting mortality under varying conditions with the goal of removing the impact of hidden heterogeneity from the parameter estimates.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42229363","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}
The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.
{"title":"ON GRADED 2-ABSORBING COPRIMARY SUBMODULES","authors":"M. Bataineh, R. Abu-Dawwas","doi":"10.35834/2022/3402174","DOIUrl":"https://doi.org/10.35834/2022/3402174","url":null,"abstract":"The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49420013","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}
{"title":"An Index Theorem for Odd-Dimensional $mathbb{Z}/kmathbb{Z}$-Manifolds","authors":"Adnane Elmrabty, Mohamed Maghfoul","doi":"10.35834/2020/3202188","DOIUrl":"https://doi.org/10.35834/2020/3202188","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"188-198"},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44993432","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}
{"title":"On the Mean Square Error of Smooth $L$-Estimator","authors":"I. Ahmad, A. Mugdadi","doi":"10.35834/2020/3202121","DOIUrl":"https://doi.org/10.35834/2020/3202121","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"121-127"},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48009330","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}
{"title":"A Fundamental Property of Bilinear Operators","authors":"Larry Downey","doi":"10.35834/2020/3202128","DOIUrl":"https://doi.org/10.35834/2020/3202128","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"128-137"},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42830636","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}
{"title":"Investigation of Limit Points and Separation Axioms Using Supra $beta$-Open Sets","authors":"T. Al-shami, E. A. Abo-Tabl, Baravan A. Asaad","doi":"10.35834/2020/3202171","DOIUrl":"https://doi.org/10.35834/2020/3202171","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"171-187"},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44397145","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}
{"title":"Classifying the Reflection and Stretching of the Reciprocal Function","authors":"Scott H. Demsky","doi":"10.35834/2020/3202227","DOIUrl":"https://doi.org/10.35834/2020/3202227","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"227-230"},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45592708","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}
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