The regularity of the surface of the Gauss curvature 0≤K ∈ C 0 ∞

Under the mild conditions, it is proved that the convex surface is global C^1.1, with the given Gaussian curvature 0≤K ∈ C ₀ ^∞ and the given boundary curve. Examples are given to show that the regularity is optimal. Project supported by the Doctoral Funds of China and the National Natural Science Foundation of China (Grant No. 19771009).     

乙烯和乙炔基在Ni(110)表面上吸附结构的研究

采用平面波赝势方法，利用基于从头计算的软件包，对乙烯和乙炔基在Ni(110)表面上吸附的问题进行了计算. 在低覆盖度时，孤立的乙烯分子的吸附能比密集时高，乙烯分子的C-C 轴大致沿衬底的Ni原子链方向(即沿［110］晶向)，C-C轴与衬底Ni(110)表面有12°的倾斜角，乙烯分子的C—C键的键长为 0.147nm. 乙烯分子中接近顶位的C原子与衬底中距离最近的Ni原子为0.199nm. 在高覆盖度时，乙烯分子在Ni(110)表面上形成c(2×4)再构，每个表面二维元胞中有两个乙烯分子，每个乙烯分子的吸附位置与低覆盖度时相似，而C—C键长比低覆盖度时要短. 乙炔基是乙烯在Ni(110)表面上分解的产物. 关于乙炔基的计算结果表明：乙炔基的两个C原子的间距为0.131nm，比乙烯分子中C原子的间距更短. 与乙烯分子相比，乙炔基的吸附位置更靠近顶位. H原子与吸附在顶位上的C原子相连接，C—H键也大致沿衬底的Ni原子链方向，与Ni表面呈45°的倾斜角. 关键词： 乙烯和乙炔基 平面波赝势方法 吸附几何结构     

高压超快光导开关输出电脉冲的瞬态分析

本文从载流子连续方程出发,根据高偏压光电开关中载流子的运动以迁移为主的特点,在不同的激励光脉冲参量和开关尺寸的情况下,对开关输出电脉冲的瞬时特性进行了数值计算,为光导开关的设计和实验研究提供了依据。     

Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails

In this paper, we obtain results on precise large deviations for non-random and random sums of negatively associated nonnegative random variables with common dominatedly varying tail distribution function. We discover that, under certain conditions, three precise large-deviation prob- abilities with different centering numbers are equivalent to each other. Furthermore, we investigate precise large deviations for sums of negatively associated nonnegative random variables with certain negatively dependent occurrences. The obtained results extend and improve the corresponding results of Ng, Tang, Yan and Yang （J. Appl. Prob., 41, 93-107, 2004）.     

A 3-color Theorem on Plane Graphs without 5-circuits

In this paper, we prove that every plane graph without 5-circuits and without triangles of distance less than 3 is 3-colorable. This improves the main result of Borodin and Raspaud [Borodin, O. V., Raspaud, A.： A sufficient condition for planar graphs to be 3-colorable. Journal of Combinatorial Theory, Ser. B, 88, 17-27 （2003）], and provides a new upper bound to their conjecture.     

Rindler effect for a nonuniformly accelerating observer

Both the Klein-Gordon equation and the Dirac equation are dealt with in the generalized Rindler space-time of a nonuniformly accelerating observer. Making use of a new method and introducing a tortoise-type coordinate transformation, it is proved that there exist an event horizon and thermal radiation depending on time in the space-time. The Hawking-Unruh temperature is proportional to the variable acceleration.     

Dispersion of V2O5 supported on a TiO2 by x-ray photoelectron spectroscopy surface

The dispersion of V₂O₅ in V₂O₅/TiO₂ catalysis has been studied by x-ray photoelectron spectroscopy, transmission electron microscopy and a thermal gravimetric analysis for samples with various V₂O₅ content. The coverage, thickness and dispersion of vanadium oxide were calculated by a quantitative x-ray photoelectron spectroscopy (XPS) analysis. The experimental results show that V₂O₅ is well dispersed on a TiO₂ surface at low VEOs content. The coverage increases rapidly with the V₂O₅ content up to 10 wt%. Beyond that, the coverage increases very slowly, and considerable parts of the TiO₂ surface remain bare even at a V₂O₅ content as high as 40 wt%. The vanadium oxide is probably present on the TiO₂ surface as isolated patches or islands. This investigation shows that x-ray photoelectron spectroscopy is also a powerful tool for obtaining information about the dispersion of supported species in catalytic research.     

β－烷氧羰乙撑基三氯化锡与N－芳基－2－羟基乙酰苯叉亚胺配合物的NMR谱与结构

测定了１２个新合成的有机锡－Ｓｃｈｉｆｆ碱配合物的１ＨＮＭＲ谱和１３ＣＮＭＲ谱．详细研究了化合物结构与ＮＭＲ谱的关系．通过比较配体和配合物的ＮＭＲ谱，得出配合物是通过酚羟基氧原子和锡原子的配键生成的．     

不等式约束最优化无严格互补条件下的快速收敛序列线性方程组算法

本文讨论无严格互补性的非线性不等式约束最优化问题,建立了一个新的序列线性方程组算法。算法每次迭代只需解一个线性方程组或计算一次广义梯度投影,并不要求Lagrange函数的近似Hessian阵正定。在较弱的假设下,证明了算法的整体收敛性、强收敛性、超线性收敛性及二次收敛速度。还对算法进行了有效的数值试验。