WEAK CONVERGENCE OF HENSTOCK INTEGRABLE SEQUENCES

Some relationships between pointwise and weak convergence of a sequence of Henstock integrable functions are studied, In particular it is provided an example of a sequence of Henstock integrable functions whose pointwise limit is different from the weak one. By introducing an asymptotic version of the Henstock equiintegrability notion it is given a necessary and sufficient condition in order that a pointwisely convergent sequence of Henstock integrable functions is weakly convergent to its pointwise limit.     

用Technicolor理论研究稀有辐射衰变Bc→Dsγ

在一代Technicolor(TCI)和带有一个无质量的标量二重态(TCⅡ)模型下,计算荷电的哥尔斯通粒子对衰变B_c→D_sγ的贡献,并把它们同标准模型的计算相比较,发现哥尔斯通粒子对电磁企鹅图的贡献很大(TCI下),在TCⅡ下贡献较小;而对弱湮没图的贡献可以忽略不计,还对同位旋三重态粒子π+p的质量进行了约束. 预言将来在LHC上能对不同模型下的分支比Br(B_c→D_sγ)的差异进行研究,进而对不同的模型进行检验.     

Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stokes Equations

In this paper,the Dirichlet problem of Stokes approximate of non-homogeneous incompressibleNavier-Stokes equations is studied.It is shown that there exist global weak solutions as well as global andunique strong solution for this problem,under the assumption that initial density ρ_0(x)is bounded away from0 and other appropriate assumptions(see Theorem 1 and Theorem 2).The semi-Galerkin method is applied toconstruct the approximate solutions and a prior estimates are made to elaborate upon the compactness of theapproximate solutions.     

弱信号提取中门积分器的设计

介绍动平稳仪中弱信号提取的门积分器的设计。讨论了门脉冲宽度（Ｔｇ）、信号周期（Ｔ）、时间常数（ＲＣ）和信噪比改善的关系，并在实际电路中进行了检测。     

COCl2…NH3和COCl2…H2S体系的理论研究

在MP2水平上,用aug-cc-pVTZ基组对COC l2…NH3和COC l2…H2S体系进行几何优化和频率计算,同时使用Counterpoise技术进行BSSE校正,分别得到4个COC l2…NH3和2个COC l2…H2S无虚频的稳定结构:N(S)…C连接的构型(Ⅰ,Ⅱ,Ⅴ)和N(S)…C—lC直线型连接的构型(Ⅲ,Ⅳ,Ⅵ).第一类构型比第二类构型相互作用能更大、更稳定.在得到的6个稳定络合物中,络合物Ⅰ是最稳定的.     

The Weak Interaction on CO2 …CO van der Waals Complex : A Theoretical Study

The geometries of van der Waals complex CO2…CO were optimized at DFT and second-order Moller-Plesset perturbation(MP2) levels with the large basis set,three stable structures were found.The most stable structure has a T-shape geometry in which the CO lies along the C2 axis of CO2,with the two C atoms direct contact and R(C…C)=0.3227nm.The corresponding energies of the most stable structure were calculated by means of MP2,MP4D,MP4DQ,MP4SDTQ,MP4SDQ,CCSD and CCSD(T) methods,The BSSE (basis set superposition error) wads eliminated by the Boys-Bernardi counterpoise correction(CP) method.According to thermodynamics data.van der Waals complex CO2…CO can found at a low temperature and or a high pressure,There is a little charge transferred between the two interacted subunits.In the most stable structure,CO2 is the acceptor and CO is the donor.     

一例可分离的双核铁氢自由基阳离子

成功分离得到了一例双核铁氢自由基阳离子盐cis-[Fe₂Cp₂（μ-H）（μ-PPh₂）（CO）₂]^·+[Al（OC（CF₃）₃）₄]^-（cis-1^·+[Al（OC（CF₃）₃）₄]^-）晶体，并使用单晶X射线衍射、电子顺磁共振、红外光谱、紫外-可见光谱以及密度泛函理论对它进行了表征和理论计算。电子顺磁共振和密度泛函理论计算分析表明，自由基的自旋密度主要均等分布于2个铁原子上。     

带有随机初值的复值Ginzburg-Landau方程的弱平均动力学*

本文研究了无界域上的带有随机初值的复值Ginzburg-Landau方程.首先, 基于解过程的全局适定性, 建立了带有随机初值的Ginzburg-Landau方程的平均随机动力系统.然后, 证明了弱拉回平均随机吸引子的存在唯一性以及随机吸引子的周期性,并将其进一步推广到加权空间L²(?, L²_σ(R)).     

内噪声作用下的随机共振算法对弱信号的检测

基于随机共振理论提出了一种简便、有效地检测弱信号的方法。在内噪声协同作用下，通过调节输入噪声信号的大小能较好地提高系统输出信号的信噪比，从而实现检测背景噪声很强的弱信号的目的。应用于模拟信号和实验信号的结果证明了方法是可行的。