On the complexity of a family of generalized matching problems

We consider a family of generalized matching problems called k-feasible matching (k-RM) problems, where k? {1,2,3,…} ∪ {∞}. We show each k-FM problem to be NP-complete even for very restricted cases. We develop a dynamic programming algorithm that solves in polynomial time the k-FM problem for graphs with width bounded by 2k. We also show that for any subset S of {1,2,…} ∪ {∞}, there is a set D of problem instances such that for k in S the k-FM problem is NP-complete on D, while for k not in S the k-FM problem is polynomially solvable on D.     

Extremal points and optimal solutions for general capacity problems

This paper studies the infinite dimensional linear programming problems in the integration type. The variable is taken in the space of bounded regular Borel measures on compact Hausdorff spaces. It will find an optimal measure for a constrained optimization problem, namely a capacity problem. Relations between extremal points of the feasible region and optimal solutions of the optimization problem are investigated. The necessary/sufficient conditions for a measure to be optimal are established. The algorithm for optimal solution of the general capacity problem onX = Y = [0, 1] is formulated.     

MnBi磁性多层膜磁光科尔效应的数值模拟

基于各向异性的平面电磁波传输理论和4×4矩阵法，计算了MnBi，Mn_0.53Bi_0.47，Mn_0.52Bi_0.44Sb_0.04磁性多层膜系列的磁光科尔旋转角、椭圆率随波长、入射角、磁性层厚度变化曲线.计算结果表明，模拟的科尔旋转角、椭圆率随波长变化规律与实验结果吻合很好；在一定波长的垂直入射下，模拟的科尔旋转角、椭圆率随磁性层厚度变化曲线出现科尔谱极大；在磁性层厚度一定的情况下，当入射光以某一角度 关键词： 4×4矩阵法 磁性多层膜 磁光科尔谱 介电张量     

晶体中稀土离子能级的计算理论和方法

本文评述了晶体中稀土离子的主要物理作用及能级计算的主要参数和数学方法。     

电子直线加速器磁控管工作频率的稳定

 介绍一种利用谐振腔输出能量-输入频率关系作为鉴频方法的稳频系统，由于将谐振腔输出信号进行积分保持，降低了高压脉冲对系统的干扰，也提高了频率稳定度。系统中采用了高频率步进电机伺服子系统，使功耗大为减少系统工作频率为2856MHz，不稳定度不大于± 7×10^-6。     

基于位置敏感器件的光学法盐度检测技术研究

盐水浓度的变化会引起其对光的折射率的变化 ,对于固定的倾斜入射光线 ,折射率的变化会导致出射光线发生偏移 ,利用位置敏感器件 (PSD)检测光线偏移量的大小 ,便可以得到待测盐水的浓度。基于差动折射率测量原理 ,引入了一个装有蒸馏水的参考水槽 ,从而有效地减小了温度漂移对盐度测量带来的影响。初步的实验结果表明了方法的正确性 ,盐度测量的分辨力可达 0 .0 12‰ ,重复性精度好于± 0 .3‰。对测量数据做了详细的论述 ,并对影响测量精度的一些主要因素进行了细致的分析。结果表明 ,该方法的温度漂移和光源强度变化对测量结果的影响很小。     

Multiplicity Free Actions of Quantum Groups and Generalized Howe Duality

Noncommutative associative algebras are constructed which have the structure of module algebras over tensor products of pairs of quantized universal enveloping algebras. These module algebras decompose into multiplicity free direct sums of irreducible modules, yielding quantum analogues of generalized Howe dualities.     

再谈含时Schrdinger方程的求解方法

介绍了线性耦合含时量子系统厄米不变量算符的构造方法，并运用Ｌｅｗｉｓ－Ｒｉｅｓｅｎｆｅｌｄ量子不变量理论得到了一些含时薛定谔方程的精确解．同时也给出了系统时间演化算符的构造方法