条件表达式

Some problems concerning the adjusting factors in the commonly used Thompson method in the generation of curvilinear grid are described. From another point of view, with the aid of some natural phenomena which correspond to elliptic function relationship, a new expression of adjusting factors is derived.

指出了常用Thompson方法中调节因子对生成网格曲线所存在的问题；从另一角度发出，借助于自然界符合椭圆型函数关系的某些物理现象，导出了一种新的调节因子表达式，并着重探讨分析了该因子的适用条件。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

By using the matrix geometric solution, we obtain the equilibrium condition of the system, and also derive the stationary probability of the system.

通过使用矩阵几何解的方法，求出了系统的平衡条件，进一步导出了系统的稳态概率分布，并且给出了率阵R的迭代计算程序及j=2时R的精确表达式。

Based on literature survey the writer takes as basis the thermodynamic data determined experimentally and published in the literature and, in the light of the theory related to heterogeneous reaction system in thermodynamics, gives a detailed analysis of thermodynamic stability under temperature and atmospheric conditions in the shift reactor with the iron-based high-temperature shift catalyst, obtaining relevant equilibrium phase diagram of the heterogeneous reaction system and corresponding calculation formulas.

笔者在文献调研的基础上，以文献发表的、经由试验测定的热力学数据－标准生成自由能为依据，根据热力学中非均相反应体系的有关理论，对铁基高温变换催化剂在变换反应的气氛与温度条件下的热力学稳定性进行了较详细的分析，建立了相关的非均相反应体系的平衡相图和相应的数学表达式。

Firstly, we consider the problem of the representation formula for the transition probability density of a right process under Girsanov transform. Secondly,we consider the problem of the MEMMs (minimal entropy martingale measure)for Markov switching Levy processes, and justify that the minimal entropy martingale measure is obtained by some regime switching Esscher transform. At last,we consider the problem of the invariant measure and the ergodic property of recurrent right processes. This paper includes 5 chapters.

首先，我们考虑了满足一定条件的右过程在Girsanov变换下的转移概率密度的表达式问题；其次，我们考虑了由Markov调制的Lévy过程的最小相对熵鞅测度的问题，证明了其最小相对熵鞅测度是某个状态转换Esscher变换；最后，我们考虑了右过程的不变测度及其遍历性的问题。

In order to modify the disadvantage of the existing method for computing the landslide thrust that is not applicable for larger scope, 5 types of the slip surfaces have been given with the computation formula of landslide thrust respectively.

针对现有滑坡推力计算方法单一、适用性差的特点，将常见的各种类型滑坡按滑动面形式分为5种类型，根据滑坡稳定分析中各极限平衡法的适用条件，分别给出了这5种滑动面形式的滑坡推力计算表达式。

Using Landauer-Buttiker formulism the analytical expressions for the electronic transmission probability as a function of incident electron energy and geometry parameters are obtained, with which the conditions for interference maximum and minimum of electron wave are indicated analytically and verified numerically.

用Landauer-Büttiker公式解析地计算出了两种情况下系统电子透射率作为入射电子能量和系统几何参数的函数表达式，从而分析得出了由于量子干涉产生透射极大与极小值时入射能量与几何参数所满足的条件关系并得到了数值验证。

Firstly, from Gauss' equations and relative motion equations, the relation of control impulse and relative motion was expressed as analysis formulas and simplified based on the near circular condition. By deeply analyzing the mechanism of impulses in each directions (radial, in-track and cross-track directions) effect on relative motion respectively, two maneuvers to establish formation flying are provided: one is to utilize the impulses in radial and cross-track directions, the other is to utilize the impulses in along-track and cross-track directions. Both of the two methods can establish satellite formation flying of any configuration. The method with impulses irradial and cross-track directions needs only 3 impulses, while the method with impulses in along-back and cross-track directions needs 4 impulses. Lastly, by an example of establishing a space-circle formation flying, two maneuvers were compared with each other in the amount of impulses and fuel consuming estimation.

首先由高斯型拉格朗日轨道摄动运动方程得到轨道坐标系中控制冲量与轨道根数偏差的关系，基于近圆轨道的条件简化并带入相对运动方程，得到控制冲量与相对运动的关系表达式；通过深入分析各个方向（径向、沿迹向与轨道面法向）的控制冲量对相对运动的影响，给出了分别用径向与轨道面法向控制冲量组合和沿迹向与轨道面法向控制冲量组合实现编队捕获的两种控制策略；最后给出了一个空间圆编队捕获实例，并从燃料消耗、施加冲量次数及捕获时间等角度对比研究了两种控制策略的特点。

This article illustrates by the specific examples that the integral formula of Gauss s law when having insulator is a macrocosm formula under a certain condition and it can t explain microcosm .

该文通过具体例子说明了有介质时的高斯定理的积分形式是在一定条件下的宏观表达式，它不能解释微观现

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。