条件表达式

A stress function involving several unknown co efficients was constructed in the solution process, and the stress and displacement expressions were obtained through traditional Airy stress function methodology. After the fixed end boundary condition was treated with two methods, the unknown coefficients in stress function were determined with stress and displacement boundary conditions, and the analytical solutions were achieved.

在求解过程中，构造了一个含待定系数的应力函数，通过Airy应力函数解法，给出了应力和位移的表达式，对固支端边界条件采用两种处理办法，利用应力和位移边界条件，确定应力函数中的待定系数，得到了应力和位移的解析解结果。

Assuming that the friction angle on different slip planes varied with the angle between the slip plane and bedding plane, an anisotropic strength criterion was established based on the concept of SMP. The formulation for cross-anisotropic granular materials was then derived.

基于SMP准则，假定不同平面上的摩擦角随该平面与沉积面之间的夹角变化，提出了一般应力条件下各向异性粒状材料的强度准则，称为ASMP准则，给出了该强度准则在横观各向同性条件下的表达式。

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

When there are diffusion effects and Dirichlet boundary conditions, we firstly obtain the conditions such that the system exists positive equilibrium solutions and give the asymptotic expression of these positive equilibrium solutions.

在具有扩散影响和Dirichlet边界条件时，首先利用隐含数定理获得了系统存在正平衡解的条件和正平衡解的渐近表达式。

In the theory part, based on the rate-equation theory of four-level system, the expressions of output power and slope efficiency under the conditions of near-threshold and deeply pumping have been given. The effects of space distribution variables(the position of focusing point, dimension of pumping light and laser light and ellipticity)on the output characteristics were also discussed.

在理论部分，首先从四能级系统的理论出发，得到了近阈值条件和强泵浦条件下的输出功率和斜效率的表达式，并详细讨论了泵光聚焦位置，泵浦光和振荡光的光斑大小、椭圆度等空间变量对输出特性的影响。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论，提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域，并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析，导出了一个4次复特征方程并讨论了方程在单位圆内解的特性，给出了滑移界面波失稳条件的显式解析表达式

In quasi-static conditions, the closed expressions far from source in the air and the earth is derived for electric dipole source, and by using it as the outer boundary conditions of the finite element method, difficulties in loading the boundary conditions is solved.

在准静态近似条件下，分别推导了水平电偶极子在空中和大地的远区电场闭合表达式，并以此作为有限元计算中的外边界条件，解决了边界条件加载的困难。

Application and development of platelet transpiration cooling technology in LRE;2. The Computation and Analysis of Heat Transfer of Platelet Cooled Microchannel on the High Temperature and High Pressure Gas Wall;3. Physical-mathematic model is built for the process of evaporation and combustion of the two interactive arbitrary size semisphere pearly transpiration droplets in platelet hole structure under micro-gravity condition.

针对微重力条件下层板孔隙结构中两个相邻任意尺寸半球形珠状发汗的蒸发与燃烧过程，建立了相应的数学物理模型；在双球坐标系中求解分子扩散传质偏微分方程，得到发汗液珠的分子扩散组分分布的解析解和扩散速率表达式；分析得到在常温、高温条件下蒸发以及燃烧状态下发汗液珠的相互作用因子式，计算了相互作用的发汗液珠在不同条件下的发汗蒸发量以及变化趋势。

The expressions of current density and the Faradaic Impedance for the three-step electrode processes involving chemical adsorption,charge transfer and desorption steps in the presence or absence of a chemical competitive reaction have been derived in terms of linear condition in this paper,by which the effect of the chemical competitive reaction on the main reaction was analyzed.

在线性条件下，推导了由化学吸附、电荷传递、化学脱附三步骤的电极过程在有化学竞争反应条件下的电流密度和法拉第阻抗的表达式，分析了不同条件下化学竞争反应对主反应的影响，并使用等效电路对可能出现的阻抗结果进行了理论描述。

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。