对角因子循环矩阵的谱分解及其应用

在文「１」的基础上讨论对角因子循环矩阵。首先，我们给出对角因子循环矩阵的谱分解，然后，讨论对角因子循环矩阵的广义逆，最后，作为应用，求解一类偏微分方程。     

在对称群Sm中解循环方程组

本文研究了在对称群S_m中解循环方程组:x_mX_(m+1)…x_(ω+k-1)σ_m,其中σ_m∈S_m,ω=1,2,…,s,确定了这个循环方程组有解的充分必要条件和解的个数,而且给出了求解过程。     

关于严格循环权位移的一个问题

给出了一个内射单侧权位移,其权序列空间H~2(β)≠H~∞(β),但对任意φ(z)属于H~∝(β),其部分和序列按算子范数收敛于φ(z).从而否定回答了Shields在文献[1]中的第12问题.     

一种简易新型长光程薄层光谱电化学池

设计并制作了一种新型长光程薄层光谱电化学池，其具有光程长、灵敏度高、重现性好等特点，且组装简便，电极容易更换，溶液未补偿电阻小，溶液用量少．易清洗．电解池以石墨为工作电极，分别用循环伏安、交流阻抗技术、光谱恒电位技术对其性能进行测试，得到比较满意的结果．     

关于循环阵列码

本文用代数观点来研究循环阵列码,证明了一般的阵列码是一些极小循环阵列码的直和,并且对极小循环阵列码给出了明确的刻画．当有限域的特征不整除群的阶时,给出了直接写出相应的多项式环的本原幂等元的方法,从而可以直接写出所有的极小循环码．     

Electro-Magnetic Control of Vortex Shedding Behind a Circular Cylinder

Both open- and closed-loop control algorithms have been developed for suppressing of vortex shedding behind a circular cylinder in an electrically low-conducting fluid. For the open-loop control, the localized Lorentz forces are generated parallel to the cylinder surface, which have the accelerated effect to the fluid. Furthermore, two closed-loop control methods have been derived from the equations of motion capable of determining at all times the intensity of the Lorentz force to control the vortex shedding of a cylinder.     

Dynamic Mechanism of Sustainable Molecular Orientation Generated From Cyclic Rotational States

Recently, two papers presented by Ortigoso et al. [Phys. Rev. Lett. 93 （2004） 073001 and Phys. Rev. A 72 （2005） 053401] develop a novel strategy in which the best sustainable molecular alignment/orientation has been achieved. We intend to analyse the dynamic mechanisms, including those Ortigoso et al. have not clarified.