Conforhational Analysis of 3,3-Dimethylheptane

Infrared and Raman spectra were obtained for 3,3-dimethylheptane and were interpreted with the aid of normal coordinate calculations. The presence of only three conformers could be verified in this way. Molecular mechanics calculations showed the probable presence of all eleven possible conformers, with concentrations ranging from 27% to 33%. Structural parameters and the heat of formation were obtained from the calculations.     

BERGMAN TYPE OPERATOR ON MIXED NORM SPACES WITH APPLICATIONS

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Multivariate normality via conditional specification

If X is a k-dimensional random vector, we denote by X_(i) the vector X with coordinate i deleted and by X_(i,j) the vector X with coordinates i and j deleted. If for each i the conditional distribution of X_i given X_(i) = x_(i) is univariate normal for each x_(i) ^K−1 and if for each i, j the conditional distribution of X_i given X_(i,j) = x_(i,j) is univariate normal for each x_(i,j) ^k−2 then it is shown that X has a classical k-variate normal distribution.     

ON ENTIRE FUNCTIONS, BLOCH AND NORMAL FUNCTIONS

New criteria for an analytic function to be Bloch and for a meromorphic function to benormal are given. These criteria generalize the recently introduced area integral conditionsinvolving a Green's function.     

正态样本中多个异常值的双边检验

对于正态样本中上下异常值的同时检验,大多数文献仅处理了下异常值的个数k1和上异常值个数k2已知的情况.当k1和k2未知时,由于受masking或swamping效应,检验问题变得十分困难与复杂.本文成功地解决了这一问题.     

Normal Alignment of π-conjugated Oligo-acene Amphiphiles by Langmuir-Blodgett Techique

Novel type of monolayer and multilayer of normally aligned,π-conjugated system with no alkyl chain was realized consisting of oligo-acene molecules by Langmuir-Blodgett technique.     

减压氩气环境下激光微区发射光谱分析精度的研究

依据数理统计理论,对减压氩气环境下,利用CCD数据采集处理系统所获取的激光微区发射光谱数据进行筛选,用以减弱样品表面激光蚀坑变化、样品不均匀性、激光波动性等因素的影响,探讨了激光微区发射光谱定量分析精度的改善方法。实验中以铝合金标样为分析样品,对Cu,Zn,Mg分析表明：分析谱线相对强度RSD分别为1.80%,4.35%,6.29%,定量分析相对标准偏差RSD分别为10.1%,6.98%,8.17%,分析结果平均值的相对误差为-3.76%,3.62%,-1.62%。     

涉及零点重数的亚纯函数的值分布

本文研究涉及零点重数的亚纯函数的值分布，证明了几个一般的模分布定理及相应的亚纯函数族的正规定则．