线性规划的对偶基线算法

In this paper,we studied the dual form of the basic line algorthm for linear programs.It can be easily implemented in tableau that similar to the primal/dual simplex method.Different from primal simplex method or dual simplex method,the dual basic line algorithm can keep primal feasibility and dual feasibility at the same time in a tableau,which makes it more efficient than the former ones.Principles and convergence of dual basic line algorthm were discussed.Some examplex and computational experience were given to illustrate the efficiency of our method.     

Dual-Bed Catalytic System for Direct Conversion of Methane to Liquid Hydrocarbons

A dual-bed catalytic system is proposed for the direct conversion of methane to liquid hydrocarbons. In this system, methane is converted in the first stage to oxidative coupling of methane (OCM) products by selective catalytic oxidation with oxygen over La-supported MgO catalyst. The second bed, comprising of the HZSM-5 zeolite catalyst, is used for the oligomerization of OCM light hydrocarbon products to liquid hydrocarbons. The effects of temperature (650-800℃), methane to oxygen ratio (4 10), and SiO2/Al2O3 ratio of the HZSM-5 zeolite catalyst on the process are studied. At higher reaction temperatures, there is considerable dealumination of HZSM-5, and thus its catalytic performance is reduced. The acidity of HZSM-5 in the second bed is responsible for the oligomerization reaction that leads to the formation of liquid hydrocarbons. The activities of the oligomerization sites were unequivocally affected by the SiO2/Al2O3 ratio. The relation between the acidity and the activity of HZSM-5 is studied by means of TPD-NH:j techniques. The rise in oxygen concentration is not beneficial for the C5 selectivity, where the combustion reaction of intermediate hydrocarbon products that leads to the formation of carbon oxide (CO CO2) products is more dominant than the oligomerization reaction. The dual-bed catalytie system is highly potential for directly converting methane to liquid fuels.     

关于三角形中线对偶的一个定理及其应用

符号说明：本文中a，b，c，ma，mb,mc，△，P分别表示△ABC的三边、三条中线、面积和半周长．     

多圆盘上对偶Toeplitz算子的性质

本文研究了多圆盘上对偶Toeplitz算子的有界性、紧性和谱的特征。     

非线性Lipschitz算子的一个特征不变量及其应用

本文通过推广有界线性算子对偶到非线性Lipschitz算子的方法,将谱半径的概念推广到非线性情形,从而得到一个有关非线性Lipschitz算子的特征数．作为应用,本文在一定条件下证明:非线性离散系统的收敛性可由算子T在各点处的．Jacobi矩阵谱半径确定,从而部分地证明LaSalle提出的一个公开性猜想．     

互补基解性质的应用研究

对线性规划互补基解性质进行了研究,得到了由线性规划问题最优基对应的单纯形表直接获得对偶线性规划问题最优基对应的单纯形表的一个有效方法,给出了应用实例.     

关于广义Busemann-Petty问题

广义Busemann-Petty问题可表述为：设K和L是Rⁿ中两个中心对称凸体, 如果对Rⁿ中任何i维子空间H,K∩H的i维体积都不超过L∩H的i维体积，那么K的体积是否不超过L的体积? 正如Bourgain 和 Zhang所证明, 当i>3时这一问题的答案是否定的. 而当i=2,3时广义Busemann-Petty问题仍是一个未解决问题. 文中证明了当具有较小i维体积的星体属于特定的集合时, 广义Busemann-Petty问题的答案是肯定的. 这些结果推广了Zhang关于广义Busemann-Petty问题的特定正解.     

具有(F,α,ρ,d)—凸的分式规划问题的最优性条件和对偶性

给出了一类非线性分式规划问题的参数形式和非参数形式的最优性条件,在此基础上,构造出了一个参数对偶模型和一个非参数对偶模型,并分别证明了其相应的对偶定理,这些结果是建立在次线性函数和广义凸函数的基础上的.     

双荷粒子系统电四极和磁四极电磁辐射的双矢势对偶理论

利用电磁场四维双势法,首先给出了广义Maxwen和d'Alembert方程的解,并进-步给出了场强与四维双势的关系.然后利用有电荷存在时的d'Alembert方程推迟解.求出了带磁荷粒子和双荷粒子(Dyon粒子)的电磁辐射的表达式,并分别给出了电荷和磁荷所激发的电四极和磁四极辐射四维双矢势表达式.最后得到了双荷粒子电四极和磁四极辐射场表达式并对其物理性质进行了讨论.     

Von Neumann 代数的局部3-上循环

证明von Neumann 代数到其单位对偶双模上的每个局部3-上循环都是3-上循环