THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES

In this paper we show that in error estimates, the condition number k(T) of any in-vertible linear bounded operator T in Banach spaces is minimal. We also extend the Hahn-Ba-nach theorem and other related results.     

钠蒸气中的双光子共振三光子电离和双光子混合共振三光子电离

在钠原子－分子混合样品中，分别运用双光子共振三光子电离以及双光子混合共振三光子电离，测得了钠原子４Ｄ态的电离流时间衰减曲线。由电离流与多光子动力学参数的关系，得到了４Ｄ态的光电离截面。     

高压直流远距离输电

 现代远距离输电工程中并存着高压交流输电和高压直流输电两种方式。现行高中物理第二册第111页指出:“实际(交流)输电线路中,导线的电感和电容的影响也会引起很大的电压损失。要彻底解决这个问题就要用直流高压输电”。     

一类基于变量分离的稳定化混合有限元方法

Based on a seperated model for saddle-point problems, we develop a new sta-bilized mixed finite element method. Such a model consists of two subproblems with respect to the primal and the dual variables, respectively. We show that the new method is coercive and that optimal error bounds hold. As an application,the nearly incompressible elastic problem is analyzed with our method.     

Large Enhancement of Optical Nonlinearities of New Organophosphorus Fullerene Derivative

Optical nonlinearities of new organophosphorus fullerene derivative were determined by the Z-scan method with a pulsed Q-switch Nd:YAG laser at 532nm. The experimental results demonstrated that the derivative has much larger excited-states nonlinear absorption and nonlinear refraction than C60. A five-level model was utilized to fit the experimental data, and a good agreement is reached. Some parameters such as excited-state absorption cross and refraction cross were obtained. To our knowledge, the excited-state cross section of new organophosphorus fullerene derivative and its effective ratio to the ground-state cross section are the largest values among the fullerene derivatives reported to date.     

激光增强极化^129Xe和^3He的磁共振成像

当激光增强极化的＾１２９Ｘｅ或者＾３Ｈｅ被输送到一些感兴趣的生物体内组织中（例如：人或者动物的肺部），由于它们具有高的自旋密度对比度，可以给出大的核磁共振信号强度、高的成像空间分辨和数据率，有希望应用于质子成像不能达到的一些有意义的生物组织的成像。该文简述了激光增强极化＾１２９Ｘｅ和＾３Ｈｅ样品的制备、储存、输送方法和成像应用，以及相应过程中的物理量。     

Batrachion序列的数值求解

Batrachion序列是一类奇特的序列，有着非常的分形图形行为和轨迹，已引起计算机图形领域许多学者的兴趣和重视．本文给出Batrachion序列的完整求解，并且予以严格的证明．在证明过程中，同时显示了它与杨晖三角形密切的关系．     

高维空间中一类Ginzburg-Landau型泛函的极小元的渐近分析

在空间H1,pg(Ω,Rn)中讨论如下一类变系数Ginzburg-Landau型泛函Eε(Ω)=∫Ωa(x)p|Δu|p+14εpb(x)(|u|2-β2(x))2dx的极小元列的渐近性质.这里2≤p0,m≤a(x),b(x),β(x)≤M,且a(x),b(x),β(x)是光滑函数.研究了当ε→0时极小元的渐近性态,证明了极小元列在H1,pg(Ω,Rn)中强收敛于某个元素,且得到了该元素所满足的微分方程边值问题.     

一个改进的Reissner-Mindlin矩形元

本文提出了一个改进的Reissner-Mindlin矩形非协调元方法：旋度用连续双线性元逼近，横向位移用旋转矩形非协调元逼近，而作为中间变量的剪切力用增广的分片常数元逼近，我们证明：该方法具有关于板厚一致稳定性和一致最优收敛性。