In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector...In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector Hilbert problem on the real axis with essential bounded measurable matrix coefficient. Under appropriate assumption we obtain its solution by use of Corona theorem and factorization of matrix functions in decomposed Banach algebras.展开更多
In this paper, the so-called Riemann-Hilbert compound boundary value problems for hyperanalytic functions are considered, include the compound value problems for simply connected regions and open arcs, we get these so...In this paper, the so-called Riemann-Hilbert compound boundary value problems for hyperanalytic functions are considered, include the compound value problems for simply connected regions and open arcs, we get these solutions.展开更多
Supercapacitors(SCs)have remarkable energy storage capabilities and have garnered considerable interest due to their superior power densities and ultra-long cycling characteristics.However,their comparatively low ener...Supercapacitors(SCs)have remarkable energy storage capabilities and have garnered considerable interest due to their superior power densities and ultra-long cycling characteristics.However,their comparatively low energy density limits their extensive application in large-scale commercial applications.Electrode materials directly affect the performance of SCs.Thus,the development of cutting-edge electrode materials and modification of their morphological and structural properties are vital for advancing the performance of SCs.Transition metal compounds have a high specific capacity and good cycling durability,making them the most promising electrode active materials for high-energy density SCs.Nevertheless,their inadequate conductivity,unfavorable ion diffusion rates,substantial volume expansion and phase transitions during charging and discharging are obstacles to their stable and efficient integration into SCs.To address these challenges,this study provides a comprehensive summary of the current advancements in transition metal nanomaterials as electrode materials for SCs,an overview of the current research status,and the prevailing challenges.Furthermore,this study highlights synthetic techniques and management strategies for electrode materials derived from transition metal compounds,targeting the resolution of the aforementioned challenges.Finally,a concise discussion is provided on the future directions of SC development,with an emphasis on the utilization of transition metal compound electrode materials.展开更多
We have studied the compound periodic boundary problem in the upper halfplane above the real axis.Under proper conditions,we obtain a periodic and sectionallyholo-morphic function in the upper half plane.In addition,w...We have studied the compound periodic boundary problem in the upper halfplane above the real axis.Under proper conditions,we obtain a periodic and sectionallyholo-morphic function in the upper half plane.In addition,we have also solved the compoundboundary problem with discontinuities of the first kind of the coefficients in the Hilbertcondition.展开更多
同时估计三个及以上同方差独立正态总体均值时,Stein[1]证明了最大似然估计平方损失下的不可容许性,并同James显式构造了具有精确一致更优风险函数的压缩型估计量.这一惊人发现——维数大于等于3时显式结构精确更优压缩型估计量——激...同时估计三个及以上同方差独立正态总体均值时,Stein[1]证明了最大似然估计平方损失下的不可容许性,并同James显式构造了具有精确一致更优风险函数的压缩型估计量.这一惊人发现——维数大于等于3时显式结构精确更优压缩型估计量——激发了大量后续研究.Statistical Sci-ence期刊2012年组织了一期专刊,“MINIMAX SHRINKAGE ESTIMATION:A TRIBUTE TO CHARLES STEIN”,表达对Stein发现的持续赞美.James和Stein[2]特定变换和Stein引理[3–4]是计算Stein估计量风险函数的两种基本途经.本文基于极坐标变换,对Stein估计量临界维数给出了解释,并提供了其风险函数计算的备用方式.极坐标变换既可以作为已有方法的补充,其本身在使用Stein引理验证绝对可积性时也发挥着重要作用.对异方差正态模型均值参数的同时估计,文献上相对缺乏兼具显式结构和精确更优风险函数的相关研究.本文在Stein原始估计量构成基础上,提出了一类显式估计量,并通过计算和观察其风险函数讨论了各待定系数的选取问题.本文为进一步认识Stein发现提供了有益补充.展开更多
The perturbed Riemann problem for a hyperbolic system of conservation laws arising in geometrical optics with three constant initial states is solved.By studying the interactions among of the delta-shock,vacuum,and co...The perturbed Riemann problem for a hyperbolic system of conservation laws arising in geometrical optics with three constant initial states is solved.By studying the interactions among of the delta-shock,vacuum,and contact discontinuity,fourteen kinds of structures of Riemann solutions are obtained.The compound wave solutions consisting of delta-shocks,vacuums,and contact discontinuities are found.The single and double closed vacuum cavitations develop in solutions.Furthermore,it is shown that the solutions of the Riemann problem for the geometrical optics system are stable under certain perturbation of the initial data.Finally,the numerical results completely coinciding with theoretical analysis are presented.展开更多
We derive some results on the dividend payments prior to ruin in the classical surplus process with interest.An integro-differential equation with a boundary conditions satisfied by the expected present value of divid...We derive some results on the dividend payments prior to ruin in the classical surplus process with interest.An integro-differential equation with a boundary conditions satisfied by the expected present value of dividend payments is derived and solved.Furthermore,we derive an integro-differential equation for the moment generating function,through which we analyze the higher moment of the present value of dividend payments.Finally,closed-form expressions for exponential claims are given.展开更多
基金supported by the National Natural Science Foundation of China(10471107)RFDP of Higher Education(20060486001)
文摘In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector Hilbert problem on the real axis with essential bounded measurable matrix coefficient. Under appropriate assumption we obtain its solution by use of Corona theorem and factorization of matrix functions in decomposed Banach algebras.
基金Supported by the NNSF of China(10871150, 11001273)Supported by the Freedom Explore Program of Central South University(721500049)
文摘In this paper, the so-called Riemann-Hilbert compound boundary value problems for hyperanalytic functions are considered, include the compound value problems for simply connected regions and open arcs, we get these solutions.
基金supported by the National Natural Science Foundation of China(No.22301151)the Natural Science Foundation of Inner Mongolia Autonomous Region of China(No.2022QN05024)+3 种基金the Fundamental Scientific Research Funds for Universities directly under Inner Mongolia Autonomous Region of China(Nos.JY20230097 and JY20220116)the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(No.NMGIRT2211)Inner Mongolia University of Technology Key Discipline Team Project of Materials Science(No.ZD202012)the Young Leading Talent of“Grassland Talents”Project of Inner Mongolia Autonomous Region(No.QNLJ012010)。
文摘Supercapacitors(SCs)have remarkable energy storage capabilities and have garnered considerable interest due to their superior power densities and ultra-long cycling characteristics.However,their comparatively low energy density limits their extensive application in large-scale commercial applications.Electrode materials directly affect the performance of SCs.Thus,the development of cutting-edge electrode materials and modification of their morphological and structural properties are vital for advancing the performance of SCs.Transition metal compounds have a high specific capacity and good cycling durability,making them the most promising electrode active materials for high-energy density SCs.Nevertheless,their inadequate conductivity,unfavorable ion diffusion rates,substantial volume expansion and phase transitions during charging and discharging are obstacles to their stable and efficient integration into SCs.To address these challenges,this study provides a comprehensive summary of the current advancements in transition metal nanomaterials as electrode materials for SCs,an overview of the current research status,and the prevailing challenges.Furthermore,this study highlights synthetic techniques and management strategies for electrode materials derived from transition metal compounds,targeting the resolution of the aforementioned challenges.Finally,a concise discussion is provided on the future directions of SC development,with an emphasis on the utilization of transition metal compound electrode materials.
基金Supported by the National Natural Science Foundations of China(19971064)
文摘We have studied the compound periodic boundary problem in the upper halfplane above the real axis.Under proper conditions,we obtain a periodic and sectionallyholo-morphic function in the upper half plane.In addition,we have also solved the compoundboundary problem with discontinuities of the first kind of the coefficients in the Hilbertcondition.
文摘同时估计三个及以上同方差独立正态总体均值时,Stein[1]证明了最大似然估计平方损失下的不可容许性,并同James显式构造了具有精确一致更优风险函数的压缩型估计量.这一惊人发现——维数大于等于3时显式结构精确更优压缩型估计量——激发了大量后续研究.Statistical Sci-ence期刊2012年组织了一期专刊,“MINIMAX SHRINKAGE ESTIMATION:A TRIBUTE TO CHARLES STEIN”,表达对Stein发现的持续赞美.James和Stein[2]特定变换和Stein引理[3–4]是计算Stein估计量风险函数的两种基本途经.本文基于极坐标变换,对Stein估计量临界维数给出了解释,并提供了其风险函数计算的备用方式.极坐标变换既可以作为已有方法的补充,其本身在使用Stein引理验证绝对可积性时也发挥着重要作用.对异方差正态模型均值参数的同时估计,文献上相对缺乏兼具显式结构和精确更优风险函数的相关研究.本文在Stein原始估计量构成基础上,提出了一类显式估计量,并通过计算和观察其风险函数讨论了各待定系数的选取问题.本文为进一步认识Stein发现提供了有益补充.
基金supported by the National Natural Science Foundation of China(12061084)the Natural Science Foundation of Yunnan Province(2019FY003007).
文摘The perturbed Riemann problem for a hyperbolic system of conservation laws arising in geometrical optics with three constant initial states is solved.By studying the interactions among of the delta-shock,vacuum,and contact discontinuity,fourteen kinds of structures of Riemann solutions are obtained.The compound wave solutions consisting of delta-shocks,vacuums,and contact discontinuities are found.The single and double closed vacuum cavitations develop in solutions.Furthermore,it is shown that the solutions of the Riemann problem for the geometrical optics system are stable under certain perturbation of the initial data.Finally,the numerical results completely coinciding with theoretical analysis are presented.
文摘We derive some results on the dividend payments prior to ruin in the classical surplus process with interest.An integro-differential equation with a boundary conditions satisfied by the expected present value of dividend payments is derived and solved.Furthermore,we derive an integro-differential equation for the moment generating function,through which we analyze the higher moment of the present value of dividend payments.Finally,closed-form expressions for exponential claims are given.
