弱刚度件加固装夹技术

弱刚度件通过加固装夹可以提高刚度，实现其少无变形装夹；薄球壳利用加固装夹方法可以解决加工变形问题。     

关于弱阻尼自由振动能量及极值点相位的讨论

本在振动速度表达式的基础上，通过对弱阻尼自由振动能量和极值点相位的推导，得出振动能量和极值点相位的表达式不同于简谐振动，并与阻尼比有关的结论。     

Time-Resolved Femtosecond Degenerate Four-Wave Mixing in LiNbO3：Fe,Mg Crystal

Forward degenerate four-wave mixing （DFWM） processes are investigated with a femtosecond pulsed laser in lithium niobate crystal doubly-doped with magnesium and iron （LiNbO3：Fe, Mg）. The pulse energy dependence reveals a pure third-order nonlinear response, and the third-order nonlinear susceptibility x^（3） in the material is evaluated to be 4.96 × 10^-13 esu. The time-resolved DFWM process shows a response time of x^（3） shorter than 100fs, which is due to the nonresonant electronic nonlinearities. Our results indicate that LiNbO3 crystals have potentials for ultrafast real-time optical processing systems, which require a large and fast x^（3） optical nonlinearity.     

MULTIPLICATION OF WEAK FUNCTIONS

This paper is a contionuation of [1] and is concerned with multiplication of weak functions. Here the weak functions are treated as generalized expansions in Hermite functions in [2].     

随机环境中的马氏链状态分类

给出了随机环境中马氏链的特征数和状态的定义,讨论了状态间的传递性,自反性,对称性,是经典马氏链相应结果的一般化.并运用位势方法研究了状态间的关系,它们在极限理论的研究中非常有用.     

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.     

乘积空间中减算子不动点的存在唯一性定理

研究了乘积空间中严格集压缩减算子不动点存在唯一性问题,在弱连续的条件下,得到了不动点的存在唯一性和迭代收敛性.并给出了它的应用.     

强收敛与弱收敛的微小区别

对于独立同分布随机变量序列{Xn,n≥1},证明了其满足弱大数律的一个必要条件是:对于任何r∈(0,1),E|X|r<∞都成立.另外我们还举例说明了这样的条件不是充分的.