Pub Date : 2023-01-01DOI: 10.4310/amsa.2023.v8.n1.a1
R. Słowik
{"title":"An explicit formula for the determinants of tridiagonal $2$-Toeplitz and $3$-Toeplitz matrices","authors":"R. Słowik","doi":"10.4310/amsa.2023.v8.n1.a1","DOIUrl":"https://doi.org/10.4310/amsa.2023.v8.n1.a1","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392796","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 : 2023-01-01DOI: 10.4310/amsa.2023.v8.n1.a2
Yan-bo Hu
{"title":"On a degenerate mixed-type boundary value problem for the two-dimensional self-similar Euler equations","authors":"Yan-bo Hu","doi":"10.4310/amsa.2023.v8.n1.a2","DOIUrl":"https://doi.org/10.4310/amsa.2023.v8.n1.a2","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392831","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 : 2023-01-01DOI: 10.4310/amsa.2023.v8.n3.a6
Alain Bensoussan, Ziyu Huang, Sheung Chi Phillip Yam
{"title":"Control theory on Wasserstein space: a new approach to optimality conditions","authors":"Alain Bensoussan, Ziyu Huang, Sheung Chi Phillip Yam","doi":"10.4310/amsa.2023.v8.n3.a6","DOIUrl":"https://doi.org/10.4310/amsa.2023.v8.n3.a6","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704571","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 : 2023-01-01DOI: 10.4310/amsa.2023.v8.n3.a4
Harbir Antil, Hugo Díaz, Evelyn Herberg
{"title":"An optimal time variable learning framework for Deep Neural Networks","authors":"Harbir Antil, Hugo Díaz, Evelyn Herberg","doi":"10.4310/amsa.2023.v8.n3.a4","DOIUrl":"https://doi.org/10.4310/amsa.2023.v8.n3.a4","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704574","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}
A comprehensive study of Magnetohydrodynamics flow (stagnation Point) with heat transferal properties of Cu–Water nanofluid along a stretched sheet in the existence of a transverse magnetic field is analyzed. The governing equalities along with their conditions on boundary points are firstly converted to ordinary differential equations of non-linear category by similarity transformations. Lastly finite difference discretization is utilized. The flow and heat transfer parameters, namely: stretching parameter, magnetic parameter, the Prandtl number and solid volume fraction are investigated by tablular and graphical representation.
{"title":"Mhd Stagnation Point Flow and Heat Transfer of Cu –Water Nanofluid over A Stretching Sheet","authors":"Rafia Bashir, M. Ashraf, K. Ali","doi":"10.52700/msa.v1i1.4","DOIUrl":"https://doi.org/10.52700/msa.v1i1.4","url":null,"abstract":"A comprehensive study of Magnetohydrodynamics flow (stagnation Point) with heat transferal properties of Cu–Water nanofluid along a stretched sheet in the existence of a transverse magnetic field is analyzed. The governing equalities along with their conditions on boundary points are firstly converted to ordinary differential equations of non-linear category by similarity transformations. Lastly finite difference discretization is utilized. The flow and heat transfer parameters, namely: stretching parameter, magnetic parameter, the Prandtl number and solid volume fraction are investigated by tablular and graphical representation.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72402529","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}
Hybrid nanofluids are important to researchers because of their industrial applications due to their high heat transfer rates. Tri hybrid different types of nanoparticles are discussed here with Newtonian fluids under the effect of MHD. The most important chemical reaction associated with mass transfer and activation energy parameters hasbeen discussed in detail. The current research focuses on two-dimensional fluids with heat transfer enhancement flowing over a porous surface. The mathematical modeling of the problem, as well as empirical relations for nanoparticle materials, is expressed as PDEs, which are then translated into ODEs using appropriate variables. The Runge–Kutta and shooting methods are combined to solve the problems of the created coupled differential system. Variations in nanoparticle volume fraction at the lower and upper walls of porous plates, as well as heat transfer rate measurements, are computed using controlling physical factors. The impact of flow-related variables on the axial, radial, and temperature components of velocity and temperature distribution is also assessed.
{"title":"Magnetized Tri-hybrid Nanofluids flow with binary Chemical Reaction and activation Energy through the porous Surfaces","authors":"Muhammad Zain ul Abideen, M. Faisal, M. Akbar","doi":"10.52700/msa.v1i1.1","DOIUrl":"https://doi.org/10.52700/msa.v1i1.1","url":null,"abstract":"Hybrid nanofluids are important to researchers because of their industrial applications due to their high heat transfer rates. Tri hybrid different types of nanoparticles are discussed here with Newtonian fluids under the effect of MHD. The most important chemical reaction associated with mass transfer and activation energy parameters hasbeen discussed in detail. The current research focuses on two-dimensional fluids with heat transfer enhancement flowing over a porous surface. The mathematical modeling of the problem, as well as empirical relations for nanoparticle materials, is expressed as PDEs, which are then translated into ODEs using appropriate variables. The Runge–Kutta and shooting methods are combined to solve the problems of the created coupled differential system. Variations in nanoparticle volume fraction at the lower and upper walls of porous plates, as well as heat transfer rate measurements, are computed using controlling physical factors. The impact of flow-related variables on the axial, radial, and temperature components of velocity and temperature distribution is also assessed.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85154738","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}
Haris Hussain, Muhammad Masham, Rana Faryyad Ali, Shahid Iqbal
In this paper, we have discussed the prediction of Left Ventricular Hypertrophy (LVH) and Right Ventricular Hypertrophy (RVH) of the heart from an Electrocardiogram (ECG) Graph using fractional order calculus. An ECG is a rough or unreachable curve that is continuous everywhere but non-differentiable at some points or all points where classical calculus fails. The purpose of this paper is to find left and right fractional derivatives at those non-differentiable points and then predict LVH and RVH by calculating the phase transition values (absolute difference of left and right fractional derivatives). Fractal dimension and Hurst exponents of V1, V2, V5, and V6 leads of the ECGs have been calculated for both problematic and normal ECGs. All such measures will help doctors to diagnose LVH and RVH from ECG in a more accurate manner as compared to the techniques which are under the classical order method.
{"title":"Application of Fractional Derivatives in Characterization of ECG graphs","authors":"Haris Hussain, Muhammad Masham, Rana Faryyad Ali, Shahid Iqbal","doi":"10.52700/msa.v1i1.3","DOIUrl":"https://doi.org/10.52700/msa.v1i1.3","url":null,"abstract":"In this paper, we have discussed the prediction of Left Ventricular Hypertrophy (LVH) and Right Ventricular Hypertrophy (RVH) of the heart from an Electrocardiogram (ECG) Graph using fractional order calculus. An ECG is a rough or unreachable curve that is continuous everywhere but non-differentiable at some points or all points where classical calculus fails. The purpose of this paper is to find left and right fractional derivatives at those non-differentiable points and then predict LVH and RVH by calculating the phase transition values (absolute difference of left and right fractional derivatives). Fractal dimension and Hurst exponents of V1, V2, V5, and V6 leads of the ECGs have been calculated for both problematic and normal ECGs. All such measures will help doctors to diagnose LVH and RVH from ECG in a more accurate manner as compared to the techniques which are under the classical order method.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76852526","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 mass &. heat transport characteristics of. the flow incorporating microstructuresoevr a. wedge are interpreted in this article. The controlling parameters describe the primary characteristics of the issue. The distributions of both velocity and temperature are looked at using the different provided values of the parameters. The similarity variables are used to convert the fundamental controlling PDEs as a collection of ordinary ones, which then solving with the sequential over relaxation parameter (SOR) method. The flow is shown to decelerate using higher values for the material parameters where as beingsped up by raising the wedge angles using numerical results. Thermal radiation and the magnetic field have a negligible impact on temperature distributions. Additionally, when the wedge's values rise, the thermal boundary layer thickens.
{"title":"Heat & Flow Mass Transfer over a Magnetized Wedge: A Numerical Study","authors":"K. Batool, K. Ali","doi":"10.52700/msa.v1i1.5","DOIUrl":"https://doi.org/10.52700/msa.v1i1.5","url":null,"abstract":"The mass &. heat transport characteristics of. the flow incorporating microstructuresoevr a. wedge are interpreted in this article. The controlling parameters describe the primary characteristics of the issue. The distributions of both velocity and temperature are looked at using the different provided values of the parameters. The similarity variables are used to convert the fundamental controlling PDEs as a collection of ordinary ones, which then solving with the sequential over relaxation parameter (SOR) method. The flow is shown to decelerate using higher values for the material parameters where as beingsped up by raising the wedge angles using numerical results. Thermal radiation and the magnetic field have a negligible impact on temperature distributions. Additionally, when the wedge's values rise, the thermal boundary layer thickens.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90103379","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}
Analytical solution for the flow of an unsteady GMHD fluid in a rectangular duct due to oscillating pressure gradient is studied. The velocity field and tangential tensions are calculated by applying double finite-Fourier sine transform & Laplace transforms. These are represented as integral and series form in the form of G-functions. The fluid flow is observed in the absence of MHD and porosity.
{"title":"Fractional Generalized-Maxwell fluid through Rectangular duct under an Oscillating pressure Gradient","authors":"Kinza Arshad","doi":"10.52700/msa.v1i1.2","DOIUrl":"https://doi.org/10.52700/msa.v1i1.2","url":null,"abstract":"Analytical solution for the flow of an unsteady GMHD fluid in a rectangular duct due to oscillating pressure gradient is studied. The velocity field and tangential tensions are calculated by applying double finite-Fourier sine transform & Laplace transforms. These are represented as integral and series form in the form of G-functions. The fluid flow is observed in the absence of MHD and porosity.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86293961","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：