导出

The PSE in the curve coordinate systems are solved by the numerical techniques developed efficiently in this paper. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. The finite-difference of governing equations with fourth-order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations.

对于曲线坐标系下的抛物化稳定性方程，文中发展了求解的高效数值方法：引进法向变换，使得在临界层与壁面之间的扰动量变化最快的区域有更多的法向网格点；导出包含边界邻域在内的完全四阶精度的法向有限差分格式，这对方程精确离散至关重要；采用全局法和局部法相结合的方法及其新的迭代公式，大大加速收敛并得到更精确的特征值。

The formulae were derived to calculate the spherical coordinates of any vector after the specimen was rotated any angles around any axis based on the homogenous coordinate theory. An example was put forward to show how to use the formulae to calculate the spherical coordinates of the crystal in the synchrotron radiation topographic analysis.

根据齐次坐标理论导出了单晶体绕样品台任意直线旋转任意角度后晶体中矢量坐标的计算公式，并以晶体同步辐射形貌分析的实例说明了如何利用此公式进行矢量计算。

In order to study the effect of Coriolis acceleration on the natural frequency and dynamic stress of high spinning steam turbine blades, a computational model of Coriolis force and dynamic stress induced by Coriolis acceleration in blades is presented using analytic method.

该模型克服了以往在叶片动态特性分析时难以考虑科氏力影响的问题，导出了科氏动应力和非稳态气流动应力比值的计算公式以及科氏力和离心力比值的计算公式，并进行了实例分析。

A knowledge-based correction term in the objective function is proposed. The relationship between state estimatin and parameter estimation is analyzed. A strategy of projecting the objective function from the augmented solution space to the parameter space is proposed and proved.

该文提出基于经验知识的参数估计目标函数修正项，导出状态估计与参数估计目标函数极值的关系，由此提出将目标函数从增广解空间垂直投影到参数空间的估计策略，并指出参数估计偏差的成因。

First, according to a phase matching condition of electromagnetic wave on the stationary boundary surface, we find the refelection and transimission angles in the front system with a static ionization front. Then using the transformations of wave vector and frequency we get the corresponding angles in the laboratory system in which the ionization front is moving at relativistic speed.

首先在波面参考系中根据电磁波在固定边界上的相位匹配条件，确定电磁波在静止电离波面上的反射角和透射角，并利用波矢和频率的相对论变换，导出了在实验室参考系中相应的反射角和透射角的表达式，最后对所得的结果作了进一步的讨论。

Third, the discussion of the corresponding relationship of the real angles to the apparent real angles is performed, the asymptotic bias and MSE of real angles are given. Fourth, based on above conclusions, the analysis of two typical cases is made by numerical analysis and computer simulation: Case A when the impinging signals are divided into desired signals and interfering signals: it is shown that similar to Cyclic estimation of DOA, the smaller the separation between interfering direction and signal direction, in general, the smaller the estimation variance.

首先，研究了无穷快拍时信号数目有误的最大似然估计，引入了视在真实角度的概念；其次，导出了视在真实角度最大似然估计大样本时的分布以及渐近均方误差的解析表达式，而且还证明了：Stoica性能分析结果是现在的分析结果在信号数目准确时的特例；第三，讨论了真实角度与视在真实角度的关系，给出了真实角度的渐近偏和渐近均方误差；第四，依据前面的结果，利用数值分析和模拟实验的方法对两种典型情况做了分析： 1 在入射信号被分为干扰信号和所需信号情况下：结果表明：与CyclicDOA估计一样，干扰方向与所需信号方向靠的越近，所需信号估计的方差越小，越远离，方差越大。

In chapter four,we have studied the permutation group coset method in calculations of gauge field vertices which can simplified the calculation of gluonic vertices.Using this method we derived the Feynman rules of trilinear vertex and quartic vertex of gauge theory.

第四章给出了规范场顶角计算中的置换群陪集展开方法，利用该方法可以简化胶子顶角的计算，并导出了规范场的三点及四点树图顶角的Feynman规则。

With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.

对于其中代数结构部分的陪集一节，应用已经熟知的等价关系和划分的概念，通过引例导出由子群定义的等价关系―陪集关系，进而得到群的划分―陪集，再研究陪集的性质。

A universal analytic potential energy function is derived using the cosine function with a phase factor,which is suitable to be applied to the interactions between two atoms in a molecule or molecule and ion.5 kinds of common potential curves are obtained by adjusting phase factors.

利用一种带相位因子的余弦函数，导出了适用于双原子分子或分子离子间相互作用的普适性解析势能函数，通过调节相位因子可获得5种常见形态的势能曲线。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。