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.     

无穷维线性空间中的非游荡算子

本文研究无穷维线性空间一类具有混沌特性的线性算子；非游荡算子。这是无穷维线性混沌系统中一类有广泛意义的算子，同时本文给出了非游荡算子紧集上的超循环分解。     

Chiral Salen Manganese Complex Immobilized on SBA-15： A New Heterogenized Enantioselective Catalyst for the Epoxidation of Alkenes

Jacobsen‘s catalyst was immobilized onto SBA-15 by multi-step grafting, and this heterogenized catalyst exhibited comparable catalytic performance with the corresponding homogeneous counterpart for the epoxidation of alkenes, and the catalyst could be recycled effectively several times.     

多壁碳纳米管修饰碳糊电极测定爽肤水中甲硝唑

研究甲硝唑在多壁碳纳米管修饰碳糊电极上的电化学行为,建立多壁碳纳米管修饰碳糊电极测定爽肤水中甲硝唑的方法。在pH 1.84的BR缓冲溶液中,以经过1 mg/mL多壁碳纳米管修饰的碳糊电极为工作电极,采用循环伏安法扫描试样溶液,记录扫描图谱的峰电位和峰电流。甲硝唑于–0.4 V处有明显的还原峰,其峰电流与甲硝唑的浓度在10～500μmol/L范围内具有良好的线性关系,相关系数为0.999 2,检出限为0.132μmol/L。实际样品加标回收率为98.8%～102.4%,测定结果的相对标准偏差为1.3%～2.3%(n=5)。甲硝唑在多壁碳纳米管修饰碳糊电极上有良好的响应,电极选择性好、灵敏度高;该方法简便、经济,可应用于化妆品、药品中甲硝唑的测定。