条件方程

The regression equation can describe well the change of standard deviation of relative radiation error with solar zenith angle, standard deviation of height, and resolution of digital elevation model. The result demonstrates that it is necessary to consider terrain complexity when using moderate resolution of remotely sensed data.

利用拟合方程可以计算任意地形条件下，不同分辨率的卫星资料在不同太阳天顶角情况下，不考虑地形复杂性产生的平均地表入射太阳辐射的计算误差，结果表明，使用中分辨率的卫星资料计算地表太阳净辐射时，需要考虑地形复杂性。

The relationship between acoustic wave direction,laser incident angle,and laser diffraction angle of TeO2 acousto-optical deflector with acoustic frequency was analyzed based on the TeO2 crystal acousto-optical characteristic and Dixon equations under abnormal Bragg diffraction.

根据晶体的声光特性以及反常布喇格衍射的Dixon方程，得出了氧化碲声光偏转器在反常布拉格衍射条件下的参量矢量关系。分析了超声波方向、入射光角度、衍射光角度与声波频率之间的关系。

Equations and boundary conditions for tilt angle and twist angle of director are obtained with variation theory.

通过变分理论得到指向矢倾角和扭曲角满足的方程和边界条件。

Tilt angle and twist angle of director with applied voltage at certain δ/λ are calculated with finite-difference iterative method.

根据这些方程和边界条件，利用差分迭代方法计算出指向矢倾角和扭曲角对应某一个δ/λ值在不同电压下的分布。

With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of antiplane mode III crack under the condition of incompressibility, and the dynamics equations are obtained separately governing the stress and strain fields at the crack-tip.

采用这种率敏感型本构关系，本文对不可压缩条件下反平面Ⅲ型扩展裂纹的尖端场进行了渐近分析，分别求得了其裂纹尖端应力和应变场的动力学控制方程。

With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of plane strain mode Ⅰ,Ⅱ and antiplane mode Ⅲ crack under the condition of incompressibility, and the dynamics equations are obtained separately governing the stress and strain fields at the crack-tip.

采用这种率敏感型本构关系，本文对不可压缩条件下平面应变Ⅰ型、Ⅱ型和反平面Ⅲ型扩展裂纹的尖端场进行了渐近分析，分别求得了其裂纹尖端应力和应变场的动力学控制方程。

According to the change of the enemy\'s quantity and the qualitative theory of the differential equation, we research the spruce aphides and its predator system. At the same time, we discussion the spruce aphid multiplication model when the natural enemy quantity is a certain value and the periodic oscillating model whose the quantity of the natural enemy changes along with the time. Obtains the stability condition of the balance point and the limit-cycle existing condition, the system presents the dissipative structure\'s character. Finally it explains that this theoretical analysis has certain practical significance regarding the preventing and controlling harmful insect.

第五章，松毛虫与其天敌的关系是食饵和捕食者的关系，根据天敌数量的变化，利用微分方程定性理论，研究松毛虫与天敌系统，讨论天敌数量为一定时的松毛虫增殖模型和天敌数量随时间变化的周期振荡模型，得到正平衡点全局稳定性和极限环的存在条件，通过计算机模拟，说明周期振荡的捕食模型能够呈现典型的时间耗散结构特征，对于防治害虫有一定的实际意义。

For composite foundation with compressible piles, based on displacement harmony condition, and combining with load transfer method and approximate solution of differential equation, analysis methods of linear and nonlinear interaction between piles and surrounding soil were suggested.

对柔性桩复合地基，是基于位移协调条件，并结合荷载传递法与微分方程的近似解法——子域法，提出了变截面自由单桩与地基土、刚性承台下柔性单桩和变截面柔性单桩与地基土、刚性承台下柔性群桩与地基土线性及非线性相互作用的分析方法，并得到有效桩长、桩与基土的荷载分配及刚性承台下各桩桩项荷载分配、荷载—沉降关系、荷载传递规律等有意义的结果。

For composite foundation with compressible piles, based on displacement harmony condition, and combining with load transfer method and approximate solution of differential equation, analysis methods of linear and nonlinear interaction between piles and surrounding soil were suggested. A lot of significative results, for example availability pile length, load distribution between piles and surrounding soil, load distribution among all piles under rigidity pile-cap, load-settlement relation etc, were obtained.

对柔性桩复合地基，是基于位移协调条件，并结合荷载传递法与微分方程的近似解法—子域法，提出了变截面自由单桩与地基土、刚性承台下柔性单桩和变截面柔性单桩与地基土、刚性承台下柔性群桩与地基土线性及非线性相互作用的分析方法，并得到有效桩长、桩与基土的荷载分配及刚性承台下各桩桩顶荷载分配、荷载一沉降关系、荷载传递规律等有意义的结果。

The unsteady state 1 D momentum equation is applied to the analysis of the condition of airflow reversal in parallel airway during a mine five in ascensional ventilation.

采用一维非稳态运动方程对上行风流火灾旁侧支路风流逆转的发生条件及影响因素进行了分析；指出了布德雷克法的局限之处，即没有正确认识到巷道长度及初始风速对风流逆转的影响；进一步阐明了导致这种局限的原因是由于忽略了风流的惯性

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新