A motivated finance-major student should master at least one programming language.This is especially true for students from quantitative finance,business analytics,those attending a Master of Science in Finance or oth...A motivated finance-major student should master at least one programming language.This is especially true for students from quantitative finance,business analytics,those attending a Master of Science in Finance or other financial engineering programs.Among the preferred languages,R holds one of the first places.This paper explains seven critical factors for designing and teaching a programming course:strong motivation,a good textbook,hands-on learning environment,being data intensive,a challenging term project,multiple supporting R datasets,and an easy way to upload such R datasets.展开更多
In this paper,we emphasize on a nondifferentiable minimax fractional programming(NMFP)problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions.We provide a ...In this paper,we emphasize on a nondifferentiable minimax fractional programming(NMFP)problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions.We provide a nontrivial illustration of a function which belongs to the class of higher-order B-(p,r)-invex but not in the class of second-order B-(p,r)-invex functions already existing in literature.An example of finding a minimax solution of NMFP problem by using higher-order B-(p,r)-invex functions has also been given.Various known results are discussed as particular cases.展开更多
In the Acknowledgements section of this article,the grant number"2020YFE0205900"relating to"National Key R&D Program of China"was missing,it has been included and the corrected Acknowledgements...In the Acknowledgements section of this article,the grant number"2020YFE0205900"relating to"National Key R&D Program of China"was missing,it has been included and the corrected Acknowledgements section is given below.展开更多
The Co-Cr-W ternary system was critically assessed using the CALPHAD technique.The solution phases including the liquid,γ-Co,ε-Co and α-Cr were described by a substitutional solution model.The σ,μ and R phases we...The Co-Cr-W ternary system was critically assessed using the CALPHAD technique.The solution phases including the liquid,γ-Co,ε-Co and α-Cr were described by a substitutional solution model.The σ,μ and R phases were described by three-sublattice models of（Co,W）8（Cr,W）4（Co,Cr,W）18,（Co,Cr,W）7W2（Co,Cr,W）4 and（Co,W）27（Cr,W）14（Co,Cr,W）12,respectively,in order to reproduce their homogeneity ranges.A self-consistent set of thermodynamic parameters for each phase was derived.The calculated isothermal sections at 1 000,1 200 and 1 350 ℃ are in good agreement with the experimental data.A eutectoid reaction of R μ＋γ-Co＋σ in this ternary system was predicted to occur at 1 022 ℃.展开更多
文摘A motivated finance-major student should master at least one programming language.This is especially true for students from quantitative finance,business analytics,those attending a Master of Science in Finance or other financial engineering programs.Among the preferred languages,R holds one of the first places.This paper explains seven critical factors for designing and teaching a programming course:strong motivation,a good textbook,hands-on learning environment,being data intensive,a challenging term project,multiple supporting R datasets,and an easy way to upload such R datasets.
文摘In this paper,we emphasize on a nondifferentiable minimax fractional programming(NMFP)problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions.We provide a nontrivial illustration of a function which belongs to the class of higher-order B-(p,r)-invex but not in the class of second-order B-(p,r)-invex functions already existing in literature.An example of finding a minimax solution of NMFP problem by using higher-order B-(p,r)-invex functions has also been given.Various known results are discussed as particular cases.
文摘In the Acknowledgements section of this article,the grant number"2020YFE0205900"relating to"National Key R&D Program of China"was missing,it has been included and the corrected Acknowledgements section is given below.
基金Project(50771027)supported by the National Basic Research Program of ChinaProject(50771027)supported by the National Natural Science Foundation of China
文摘The Co-Cr-W ternary system was critically assessed using the CALPHAD technique.The solution phases including the liquid,γ-Co,ε-Co and α-Cr were described by a substitutional solution model.The σ,μ and R phases were described by three-sublattice models of（Co,W）8（Cr,W）4（Co,Cr,W）18,（Co,Cr,W）7W2（Co,Cr,W）4 and（Co,W）27（Cr,W）14（Co,Cr,W）12,respectively,in order to reproduce their homogeneity ranges.A self-consistent set of thermodynamic parameters for each phase was derived.The calculated isothermal sections at 1 000,1 200 and 1 350 ℃ are in good agreement with the experimental data.A eutectoid reaction of R μ＋γ-Co＋σ in this ternary system was predicted to occur at 1 022 ℃.
