{"title":"Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet","authors":"Uchenna Awucha Uka, E. Amos, C. Nwaigwe","doi":"10.47260/tma/1221","DOIUrl":"https://doi.org/10.47260/tma/1221","url":null,"abstract":"Abstract\u0000\u0000This study investigates chemical reaction and thermal radiation effects on hydromagnetic nanofluid flow over an exponentially stretching sheet. The governing partial differential equations were transformed to ordinary differential equations by using similarity transformation and the resulting equations were solved using asymptotic series method. Graphical results showing the influence of the governing parameters on the velocity, temperature and concentration are displayed. Our results indicated that an increase in stretching sheet, thermal Grashof parameters leads to the increase in the rate of fluid flow while it decreases when magnetic field factor is increased. Also, increasing the thermophoresis number brings about increase in temperature and concentration while the reverse is the case as Prandtl number, Schmidt factor and chemical reaction rate increases. Increase in radiation leads to increase in the temperature.\u0000\u0000Keywords: Thermophoresis, Stretching sheet, MHD (Magnetohydrodynamic), thermal Radiation, Chemical reaction, Nanofluid.","PeriodicalId":399366,"journal":{"name":"Theoretical Mathematics & Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132179821","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 Brand new Approach to Collatz Conjecture","authors":"R. Deloin","doi":"10.47260/tma/1212","DOIUrl":"https://doi.org/10.47260/tma/1212","url":null,"abstract":"Abstract\u0000\u0000The aim of this paper is to propose a brand new approach on Collatz conjecture as well as a proof of it. The method is based on the fundamental theorem of arithmetics and on a definition of trajectories that implies a contradiction to the latter theorem when a divergence or looping of the algorithm is assumed. This contradiction proves Collatz conjecture.\u0000\u0000\u0000Mathematics Subject Classification: 11A51, 11Y05, 11Y11.\u0000Keywords: Conjecture, Collatz, Syracuse, 3n+1, Trajectory.","PeriodicalId":399366,"journal":{"name":"Theoretical Mathematics & Applications","volume":" 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132123683","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":"Inequalities Involving Companion Matrix","authors":"M. Al-Hawari, Elham Magableh","doi":"10.47260/tma/1211","DOIUrl":"https://doi.org/10.47260/tma/1211","url":null,"abstract":"Abstract\u0000\u0000We give several inequalities involving the Frobenius companion matrix of a polynomial P, and solve any equation in involving c, c2, and c3.\u0000\u00002010 Mathematics Subject Classification: 15A60, 12D10. \u0000Keywords and phrases: Bounds for the zeros of polynomials, Cube companion.","PeriodicalId":399366,"journal":{"name":"Theoretical Mathematics & Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131062530","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 Note on Variational Principle of Subsets for Nonautonomous Dynamical Systems","authors":"Jiao Yang","doi":"10.47260/tma/1131","DOIUrl":"https://doi.org/10.47260/tma/1131","url":null,"abstract":"Abstract\u0000\u0000In this paper, we introduce measure-theoretic for Borel probability measures to characterize upper and lower Katok measure-theoretic entropies in discrete type and the measure-theoretic entropy for arbitrary Borel probability measure in nonautonomous case. Then we establish new variational principles for Bowen topological entropy for nonautonomous dynamical systems.\u0000\u0000JEL classification numbers: 37A35.\u0000Keywords: Nonautonomous, Measure-theoretical entropies, Variational principles.","PeriodicalId":399366,"journal":{"name":"Theoretical Mathematics & Applications","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126970251","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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