一般回归模型中的U统计量

本文考虑一般回归模型中回归系数的方向的估计问题。一般回归模型的定义中,应变量y在自变量x给定之下的分布只依赖于x之分量的线性组合。这个线性组合的系数向量β就是回归系数向量。一般回归模型是通常线性模型的推广。本文中,我们构造了一个U统计量作为β之方向的估计。在适当的光滑性条件下,本文证明了该U统计量作为β的方向的估计具有相合性与渐近正态性。     

空气/水界面水分子的取向和运动

对四种不同的实验构型下空气／水界面自由O-H键在3700cm~(-1)的和频振动光谱的分析表明,水分子在空气／水界面的取向运动只可能是在平衡位置附近有限角度之内的受限转动。界面水分子的自由O-H键取向距界面法线约33°,而取向分布或运动的宽度不超过15°。这一图像显著地不同于Wei等人(Phys. Rev. Lett.86,4799(2001))只通过单一的SFG实验构型所得出结论,即：空气／水界面的水分子在超快的振动弛豫时间内在很大的角度范围内运动。     

分层有限元及其数学特性研究

提出了三维问题的分层有限元迭代算法，对算法的数学特性进行了初步探讨。理论分析表明，该算法适应于一些椭圆型问题，且其工作量小，方便可靠。最后，给出具体的算例。     

l^p空间中的周期边值问题

研究抽象空间微分方程周期解的存在性一直是比较困难的问题。Deimling，K利用耗散性及紧性条件研究了这一问题解的存在性^[1-2]。本从另一个角度研究了赋范线性空间l^p中的周期边值问题的单调逼近，提出了计算解的具体方法。     

用网络拓扑分析含受控源电路的一种系统方法

通过３个实例分析，阐明用网络拓扑分析含受控源电路的一种系统方法。     

对合的分解

Using the notion of biconnected sum we define the biconnected sum (T₁, M₁)§(T₂,M₂) of two involutions (T1M1) and (T2,M2) which is an involution on the biconnected sum M₁,§M₂. A connected involution is said to be reducible if it can be expressed as a biconnected sum of two connected involutions.Theorem Each connected involution (T, M) can be decomposed into a bi-connected sum of connected irreducible involutions (T, M)=(T₁, M₁)§…§(T_q,M_q),and (?) where the coefficients of H_{n_1}(M) are in Z/2 Z if M is unoriented, in Z if is oriented .     

早寒武世放射虫的发现及其意义

用酸蚀法从陕西镇巴县下寒武统下部灰岩中处理出来的保存精美完好的双瓣壳微体化石,经电子探针的成分分析,电子显微镜及光学显微镜下的形态构造研究及薄片研究,证明是一类最古老的放射虫化石。基于这些早寒武世标本的壳质成分及形态构造特点,建立了始小贝虫属(Eoconcharium)和始小贝虫科。     

BaCe0.8Ho0.2O3-a陶瓷的性质与应用

Ceramic BaCe0.8Ho0.2O3-α with orthorhombic perovskite structure was prepared by conventional solid state reaction, and its conductivity and ionic transport number were measured by ac impedance spectroscopy and gas concentration cell methods in the temperature range of 600-1000 ℃ in wet hydrogen and wet air, respectively. Using the ceramics as solid electrolyte and porous platinum as electrodes, the hydrogen-air fuel cell was constructed, and the cell performance at temperature from 600-1000 ℃ was examined. The results indicate that the specimen was a pure protonic conductor with the protonic transport number of 1 at temperature from 600-900 ℃ in wet hydrogen, a mixed conductor of proton and electron with the protonic transport number of 0.99 at 1000 ℃. The electronic conduction could be neglected in this case, thus the total conductivity in wet hydrogen was approximately regarded as protonic conductivity. In wet air, the specimen was a mixed conductor of proton, oxide ion and electron hole. The protonic transport numbers were 0.01-0.09, and the oxide-ionic transport numbers were 0.27-0.32. The oxide ionic conductivity was increased with the increase of temperature, but the protonic conductivity displayed a maximum at 900 ℃, due to the combined increase in mobility and depletion of the carriers. The fuel cell could work stably. At 1000 ℃, the maximum short-circuit current density and power output density were 346 mA/cm^2 and 80 mW/cm^2, respectively.     

温度及pH值敏感水凝胶的合成和应用

直接将丙烯酸单体与N-异丙基丙烯酸胺共聚交联合成了温度及pH值敏感的水凝胶。包埋于水凝胶中的药物的释放随温度升高和pH值增大而加快，药物的释放兼有温度和pH值敏感性，对pH值的响应更加显著。