高准确度玻璃光学元件的CMP技术研究

依据化学机械抛光（Chemical Mechanical Polishing,CMP）加工玻璃光学元件的原理,通过对抛光运动机理的理论分析,提出了抛光垫的磨削均匀性对光学元件面形的影响,并设计了新的工艺流程.通过工艺试验,完成了高准确度玻璃光学元件的CMP加工,获得了表面质量N<0.2,Rq<0.3 nm的玻璃光学元件.     

Analysis of plasma migration components in Patrinia villosa (Thunb.) Juss. effective parts by UPLC–Q-TOF–MS

Patrinia villosa (Thunb.) Juss. (PVJ) is described as pungent, bitter and slightly cold in Chinese medicine, and is associated with the large intestine, stomach and liver meridians. The preliminary experiments of our research team proved that PVJ total flavonoids have excellent inhibitory effects on liver cancer cells. The present experiment uses the UPLC–Q-TOF–MS technology and serum pharmacochemistry methods to analyze the chemical components in vitro and in vivo of PVJ antiliver tumors. A total of 14 chemical components were identified in the total flavonoids extract of PVJ, and it is mainly composed of flavonoids, flavonones, flavonols and phenolic acids. At the same time, seven prototypical components and seven metabolic components were detected in the drug-containing plasma. Hydrocaffeate and scutellarein are the phase I metabolites of caffeic acid and scutellarin, respectively. Sulfated apigenin, sulfated luteolin, sulfated kaempferol and methylated kaempferol are the II phase metabolites of apigenin, luteolin, kaempferol, respectively. The experiment provides a reference for the research and development of antitumor drug candidates, and provides a basis for revealing the bioactive components of PVJ and the antitumor mechanism.     

相依回归系统的主成分改进估计

对两个相依方程组成的回归系统,当设计矩阵呈病态时,提出了回归系数的一个主成分估计β_1**(k)及其相应的两步估计β_1**(k,T),并在均方误差意义下研究了它们的优良性质。     

Principal components in the nonnormal case: The test of equality of Q roots

The limiting distribution of the likelihood ratio statistic W_q for testing the hypothesis of equality of q characteristic roots of a covariance matrix is studied in the case of nonnormal populations. It is shown, both theoretically and empirically, that the limiting distribution of W_q is not robust to departures from normality and that W_q cannot be used for nonnormal populations with long tails. For the class of elliptical populations the limiting distribution of W_q can be expressed in close form. A corrected test statistic, W_q^*, is proposed that can be used in principal component analysis when sampling from elliptical populations.     

戈德菲尔德匡特检验的推广

在大多数经济现象中,回归模型的随机扰动项并不具有同方差性,它可能随观察值的不同而变化。对这种异方差模型进行最小二乘估计,会产生严重的后果,因此研究异方差的检验方法具有重要意义。由于戈德菲尔德 匡特检验方法只适用于一个自变量,因此,本文对G Q检验进行了推广,说明在多变量的情况下,可以利用主成分对样本数据进行排序,从而解决了对多变量数据的排序问题,使戈德菲尔德 匡特异方差检验得到了推广,并举实例说明。     

Data analysis for numerical and categorical individual time-series

Principal components analysis and correspondence analysis may be generalized to handle time-dependent data. For real-valued data the basic tool is the Karhunen-Loeve decomposition. For categorical processes harmonic analysis is presented in terms of reciprocal averaging. Details are given for approximated and interpolated solutions.     

Superposition of Cantor gratings II: Fractality of the moiré profiles

Here, we treat the fractality condition for the moiré fringe profiles obtained from the superposition of two Cantor gratings. These Cantor structures are built through the product of periodic components. We restrict the study to the case in which both gratings have the same fractal parameters (dimension and lacunarity). However, the period of each component can be different. The contribution of each periodic component is also shown, and the total moiré is expressed as a product of the moiré from pairs of such components (Optik 113 (2002) 13-24). Considering the normalized fringe profiles as sets and based on the theory of dynamical systems, the fixed points are obtained. Finally, the calculation of the perimeter-yardstick relation (Richardson method) permits to obtain a power law and the fractality condition is accomplished for such normalized fringe profiles.