三爪结构萘乙酰胺衍生物与过渡金属离子的螯合荧光增强

合成了具有三爪结构的化合物三-(1-萘乙酰胺乙基)胺(1),它对具有荧光猝灭能力的过渡金属离子具有荧光增强的效应。比较不同的过渡金属离子存在时上述化合物溶液的荧光光谱和吸收光谱变化,可以发现：在利用荧光光谱进行检测时必须注意过程中引起荧光增强和猝灭的机制,这将对考察配体与金属离子间配位能力大小作出正确估计有着重要的帮助。     

平胃散挥发性成分的研究(Ⅱ)--厚朴挥发油的GC/MS分析

利用色质联用（GC／MS）技术对复方制剂平胃散中的单味药材厚朴的挥发油成分进行测定,基于直观推导式演进特征投影（HELP）法对产生的二维色谱／质谱数据进行分辨,得到各个组分的纯色谱曲线和质谱,根据色谱保留时间和纯质谱在质谱库中进行相似检索以实现对组分的定性,然后采用总休整积分法进行定量,本文分离出98个组分,其中鉴定了44个组分,约占其挥发油总量的58．74％。     

On Brauer’s problem 21

For ap-blockB of a finite groupG, we give a bound of the order of its defect groupD in terms ofk(B), the number of the irreducible ordinary characters inB.     

Optical diagnostics of femtosecond laser plasmas

Optical diagnostics of evolution of plasmas produced by ultrashort laser pulses is carried out using a femtosecond probing beam. The time sequence of plasma shadowgrams and interferograms are obtained. The filamentation instability in high-density region induces the local density modification. Large-scale toroidal magnetic fields confine plasma expansion in the transverse direction, resulting in the formation of a plasma jet. The plasma expansion along the target normal direction is found to scale as t^1/2.     

基于实验设计法的工程结构优化设计

基于实验设计法,提出了一种新的工程结构优化设计方法,这种方法将设计变量的水平值配列于正关表中,按正交表的参数组合条件进行结构解析,通过对设计变量对于目标函数值的方差分析和F检验,改变设计变量的水平值,进而通过迭代计算使设计变量趋地最优解,本文以杵架结构为计算例,验证了本方法的全局收敛性和优化精度,由于无需构建目标函数和约束函数以及微分计算,此方法具有简单而又适应广泛的优点。     

New method for measuring random thresholds of long fatigue crack propagation

A so-called "local probabilistic Paris relation method" was presented for measuring the random thresholds of long fatigue crack propagation. A check was made to the conventional method, in which the thresholds were measured statistically and directly by the test data. It was revealed that this method was not reasonable because the test data have seldom a unified level of crack growth rates. Differently,in the presented method the Paris-Erdogan equation was applied to model the local test data around the thresholds. Local probabilistic relations with both the survival probability and the confidence were established on a lognormal distribution of the stress density factors. And then, the probabilistic thresholds were derived from the probabilistic factors with a given critical level of growth rate. An analysis on the test data of LZ50 axle steel for the Chinese railway vehicles verifies that the present method is feasible and available.     

尿嘧啶、水合尿嘧啶的结构和振动性质研究

基于从头计算方法和半经验势分子动力学,通过计算尿嘧啶分子及其水合尿嘧啶分子运动轨迹的速度自关联函数的傅立叶变换,给出了这些分子的振动频率。通过求解Hessian矩阵,鉴别出这些分子每一个振动频率的振动模式。对孤立的尿嘧啶分子,计算结果能够和实验数据符合。对水合尿嘧啶分子中,尿嘧啶分子的结构和振动频率的改变做了讨论。Based on an ab initio calculation and a semiempirical method, the structural and vibrational frequencies of Uracil and hydrated Uracil are studied by using the Fourier transform of velocity autocorrelation function of trajectories of molecular dynamics simulations. The finite difference harmonic method is also used to assign the vibrational frequency of each mode. It is found the calculation frequencies are in good agreement with the experiment data. The structural and vibrational frequencies of Uracil in hydrated form is discussed.     

子空间比较法研究拓扑块的变量关系及变量选择

用子空间比较法研究由不同拓扑指数构成的块变量之间的关系,提出了一种变量选择的新方法.以530种烷烃的5大类拓扑指数为样本进行比较,得到了反映拓扑块变量间线性相关关系的夹角余弦值,以及这些子空间所对应的结构信息.结合子空间比较的结果选择变量,对上述烷烃的沸点值进行回归,R=0.9948,S=4.08,交互检验预测误差LOO=4.38     

两类积分不等式的一个应用

针对北京市大学生数学竞赛试题中一道积分不等式证明题，在重述原参考解答后，重点介绍Steffesen不等式和Chebyshev不等式，并分别运用它们证明该积分不等式．此外，利用积分第二中值定理也可证明该积分不等式。且方法更为简洁．     

再谈数学归纳法的教学设计

多年前,我参加区教学比赛,课题是"数学归纳法",写了文[1].最近又有机会进行公开教学展示,课题是"归纳一猜想一证明",这是上海市高中数学二期课改新教材第八章<数学归纳法>中的第一节内容,其学习重点包括数学归纳法.翻阅过去的有关资料,查阅了文[2]、文[3],发现自己的认识与先前也有许多不同之处,故再谈数学归纳法的教学设计.……