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。     

手分为多节段的人体热调节模型研究

将人体热调节柱状模型和手的多节段模型结合起来,建立了更完整的人体热调节模型。利用有限元方法对人体热调节数学模型进行了数值求解,并设计试验证明了模型的正确性。结果表明: (1)当取合适的血流量时,实验值和计算值的变化趋势一致,且手部温度稳定时,血流量都在确定的范围内;(2)血液流量是手部温度场变化的主要因素,人体组织和动脉入口温度对手部温度影响较小。     

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。     

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 .     

La0.8Sr0.2Ga0.8Mg0.2O3－α陶瓷的质子导电性能研究

采用溶胶-凝胶法合成了La_0.8Sr_0.2Ga_0.8Mg_0.2O_3－a陶瓷样品, 用XRD, DSC-TGA, SEM, 交流阻抗谱, 气体浓差电池及气体电化学透过等方法对样品的结构和性质进行了表征和测试. 首次对该样品的质子导电性能进行了研究. 该陶瓷样品具有良好的微观结构, 相对密度达95.1%; 氢浓差电池电动势的实测值与理论值吻合, 离子迁移数为1; 在干燥的氧气气氛中是一个纯的氧离子导体; 氢的电化学透过速率的实测值与理论值吻合, 证明该样品在氢气气氛中几乎是一个纯的质子导体, 质子电导率在1000 ℃时高达0.14 S•cm^－1.     

纳米CeO2的形貌控制与表征

以Ce(NO3)3·6H2O和(NH4)2CO3为沉淀源,利用柠檬酸作为络合剂和分散剂,实现了对CeO2前驱体的形貌和尺寸控制,并采用TEM,TGA和XRD等方法对前驱体及其热分解所得纳米CeO2的形貌及结晶性等进行了表征.结果表明,随着柠檬酸加入量的提高,前驱体形貌从纳米线向类球形颗粒变化,焙烧生成的纳米CeO2颗粒的形貌具有明显继承性,所得CeO2属于立方萤石结构,且随焙烧温度的提高,晶化程度增大.     

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.     

乙酰水扬酸在CTAB胶束溶液中的水解反应

乙酰水扬酸(阿斯匹林)具有较高的药用价值,对它的性质有较多的研究,如在水中的稳定性和水解等。乙酰水扬酸有一个脂键和一个羰基。脂键易水解,水解后药用价值虽未降低,但有很大的副作用,因而研究抑制乙酰水扬酸水解是很有意义的。本文用RD—Ⅲ型热导式自动量热计研究了在十六烷基三甲基溴化胺(CTAB)胶束溶液中乙酰水扬酸的水解反应热动力学。