Pub Date : 2022-01-01DOI: 10.4236/apm.2022.1211047
A. Adeniji, Janet Ifiok Obafemi
{"title":"Transformation Semigroup of Alternating Nonnegative Integers","authors":"A. Adeniji, Janet Ifiok Obafemi","doi":"10.4236/apm.2022.1211047","DOIUrl":"https://doi.org/10.4236/apm.2022.1211047","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"10 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81286745","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}
Pub Date : 2022-01-01DOI: 10.4236/apm.2022.1211051
E. Ali
{"title":"Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings","authors":"E. Ali","doi":"10.4236/apm.2022.1211051","DOIUrl":"https://doi.org/10.4236/apm.2022.1211051","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85261440","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}
Motivated by the count sketch maximal weighted residual Kaczmarz (CSMWRK) method presented by Zhang and Li (Appl. Math. Comput., 410, 126486), we combine the count sketch tech with the maximal weighted residual Kaczmarz Method with Oblique Projection (MWRKO) constructed by Wang, Li, Bao and Liu (arXiv: 2106.13606) to develop a new method for solving highly overdetermined linear systems. The convergence rate of the new method is analyzed. Numerical results demonstrate that our method performs better in computing time compared with the CS-MWRK and MWRKO methods.
{"title":"A Count Sketch Maximal Weighted Residual Kaczmarz Method with Oblique Projection for Highly Overdetermined Linear Systems","authors":"Peng Zhang, Longyan Li, Pingping Zhang","doi":"10.4236/apm.2022.124020","DOIUrl":"https://doi.org/10.4236/apm.2022.124020","url":null,"abstract":"Motivated by the count sketch maximal weighted residual Kaczmarz (CSMWRK) method presented by Zhang and Li (Appl. Math. Comput., 410, 126486), we combine the count sketch tech with the maximal weighted residual Kaczmarz Method with Oblique Projection (MWRKO) constructed by Wang, Li, Bao and Liu (arXiv: 2106.13606) to develop a new method for solving highly overdetermined linear systems. The convergence rate of the new method is analyzed. Numerical results demonstrate that our method performs better in computing time compared with the CS-MWRK and MWRKO methods.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"80 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83854535","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 statistical analysis of extreme values has a wide and vast domain of applications on many disciplines. Extreme wind speeds are a key input for design in Structural Engineering, maximun levels of traffic are crucial for design and operation in Telecommunications Networks, maximun tides are essential for any policy concerning coast resources mangement, extreme events on chemical, physical or biological conditions may affect dramatically very sensitive ecosystems, etc.([2], [4]. [5], [8],[9],[10], [17]).
{"title":"Asymptotic Extremal Distribution for Non-Stationary, Strongly-Dependent Data","authors":"C. Crisci, G. Perera","doi":"10.4236/apm.2022.128036","DOIUrl":"https://doi.org/10.4236/apm.2022.128036","url":null,"abstract":"The statistical analysis of extreme values has a wide and vast domain of applications on many disciplines. Extreme wind speeds are a key input for design in Structural Engineering, maximun levels of traffic are crucial for design and operation in Telecommunications Networks, maximun tides are essential for any policy concerning coast resources mangement, extreme events on chemical, physical or biological conditions may affect dramatically very sensitive ecosystems, etc.([2], [4]. [5], [8],[9],[10], [17]).","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82607446","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":"Representations of Ten-Dimensional Levi Decomposition Lie Algebras","authors":"Nmcd Bandara, G. Thompson","doi":"10.4236/apm.2022.124022","DOIUrl":"https://doi.org/10.4236/apm.2022.124022","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83251373","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}
Pub Date : 2022-01-01DOI: 10.4236/apm.2022.1210044
F. Dubeau
{"title":"A Basic Topological Approach to the Continuity of the Size Function","authors":"F. Dubeau","doi":"10.4236/apm.2022.1210044","DOIUrl":"https://doi.org/10.4236/apm.2022.1210044","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86751215","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}
Pub Date : 2022-01-01DOI: 10.4236/apm.2022.1212053
D. Mukonda, L. K. Matindih, Edwin Moyo
{"title":"Some Classes of Bounded Sets in Quasi-Metric Spaces","authors":"D. Mukonda, L. K. Matindih, Edwin Moyo","doi":"10.4236/apm.2022.1212053","DOIUrl":"https://doi.org/10.4236/apm.2022.1212053","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"5 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75056009","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":"Approximation of an Integral Markov Process Arising in the Approximation of Stochastic Differential Equation","authors":"M. Rahman","doi":"10.4236/apm.2022.121003","DOIUrl":"https://doi.org/10.4236/apm.2022.121003","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"42 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73363722","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":"Distributed Alternating Direction Method of Multipliers for Multi-Objective Optimization","authors":"Hui Deng, Yangdong Xu","doi":"10.4236/apm.2022.124019","DOIUrl":"https://doi.org/10.4236/apm.2022.124019","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72799717","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":"Multipliers and Classification of <i>m</i>-Möbius Transformations","authors":"D. Ghisa, Eric Mikulin","doi":"10.4236/apm.2022.126033","DOIUrl":"https://doi.org/10.4236/apm.2022.126033","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"62 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76128806","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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