SL(2,R)上的Hardy-Littlewood极大函数的性质

本文给出了SL(2,R)上的Hardy-Littlewood极大函数mf的定义,利用Ergodic定理证明了Hardy-Littlewood极大函数的强(p,p)型性质,p>1.     

Im∪CP形图的匹配等价

完整刻画了 I_m∪C_p(p≥6为偶数或素数且 p≠m-3)及其补图的匹配等价图．     

两种跟踪低阶模型的模型参考自适应控制方案设计与仿真

采用滤波器降阶和系统分解，并将部分因式看成未建模动态，进而转化成扰动的方法，分别设计了两种高阶系统跟踪低阶参考模型的模型参考自适应控制(MRAC)方案。使用低阶参考模型简化了系统结构。仿真验证了方案的有效性。     

关于扰动单位根上的复Hermite插值多项式

本文给出了基于扰动单位根的Hermite插值对As(|z|<1)中函数f(z)及其导数的同时一致及平均逼近阶。     

基于Web的网络答疑系统研究与应用

章提出了一个基于WWW环境的网络自动答疑系统，研究了基本框架、提出技术解决方案并实现了其部分功能。     

耦合拟不动点定理

根据耦合拟不动点和上半连续算子的定义，讨论了在一定连续条件下集值混合单调算子的耦合拟不动点存在性问题，证明了，若A是非空弱闭值上半连续增算子，则A存在不动点以及若A是非空弱闭值上半连续混合单调算子，则A存在偶合拟不动点等结论．     

二阶非线性微分方程解的振动性与渐近性

讨论了一类二阶非线性微分方程解的振动性与渐近性,得到了该方程有界解的振动性与渐近性的新的充分条件,改进并推广了已有的结果。     

一种高阶有理H-F插值逼近算子(Ⅲ)

本文构造了一类有理Hermite-Fejer插值算子,并给出了该算子和逼近阶。     

过阻尼振子系统中役使原理与绝热近似的关系及适用条件的探讨——线性情况(Ⅰ)

本文指出,《协同学》中将绝热近似与役使原理等同是不妥的,前者只是后者的特例。为此给出了役使原理的新表述,并探讨两者的关系。由此可将H.Haken的理论推广于非绝热近似的情形。 应用役使原理于过阻尼振子系统中,探讨绝热近似的适用条件,引进高级绝热近似的概念,并探讨其适用条件。由此可见考虑时滞。     

Changes in erythrocyte membrane lipid composition affect the transient decrease in membrane order which accompanies insulin receptor down-regulation

We have recently demonstrated, using electron paramagnetic resonance (EPR) spectroscopy, that insulin receptor internalization in response to insulin incubation (down-regulation) in human erythrocytes is accompanied by a transient decrease in membrane order, as measured by the 2T order parameter. Since membrane lipids play such an important role in receptor internalization, we investigated the possible effects that an alteration of the normally-occurring lipid profile might have on down-regulation and the concomitant transient decrease in membrane order. Consequently, human erythrocytes enriched with cholesterol and erythrocytes from cirrhotic patients were examined, because both of these groups of cells have a higher cholesterol/phospholipid molar ratio (CH/PL) than controls. The 5-nitroxystearate spin label, which inserts into the lipid bilayer of cell membranes, was used to monitor changes in 2T for a 3-h period at 37°C. We report here that both cholesterol-enriched and cirrhotic erythrocytes do not down-regulate, as demonstrated by binding assays, and that they do not show the typical transient decrease in membrane order observed in controls. The results seem to indicate that a more ordered membrane inhibits internalization of the insulin receptor in erythrocytes, and that an increase in membrane disorder is necessary for insulin receptor down-regulation.