| 1. | The situation can be handled conveniently by equations as follows .
这种情况可以用下面的公式很方便地表达。 |
| 2. | Some of the most important functional relationships in economics are determined by equations .
经济学中某些重要的函数关系都是由方程来确定的。 |
| 3. | The criterion for gravitational contraction set by equations (3. 4) is significantly weaker for more massive clouds .
由（34）式建立的引力收缩判据，对质量较大的云是很牵强的。 |
| 4. | Proving problems in plane geometry by equations of the system of straight lines
利用直线系方程证明平面几何问题 |
| 5. | The criterion for gravitational contraction set by equations ( 3 . 4 ) is significantly weaker for more massive clouds
由（ 3 4 ）式建立的引力收缩判据，对质量较大的云是很牵强的。 |
| 6. | 4 . on soil profile , the distribution of kc1 applied at soil surface could be described by equations of c = a + blnz , where c was the concentration of the diffusing ion ( mg / kg ) of soil , z the soil depth , a and b simulated parameters
可用半对数方程二a blnz ）拟合两种离于在上壤剖面中扩散的动态过程，式中c为养分离于含量沁叭g ）为土层深度仁） ， c 、 b为拟合参数。 |
| 7. | The discussing process follows the steps below : first , suppose the system ( 1 ) has only one finite singular point ( 0 , 0 ) . then we can assume b50 = 0 , which special direction is determined by equation g ( 0 ) - 0 , introduce poincare transformation to discuss infinite singular points , according to the coefficient conditions , list all possible infinite singular points and special directions , judging their type , drawing out all kinds of phase portraits
本文主要内容为：一、假设系统( 1 )只有唯一的有限远奇点( 0 ， 0 ) ，则不妨设b _ ( 50 ) = 0 ，其特殊方向由示性方程g ( ) = 0给出，引进poincare变换研究无穷远奇点，再根据各定理中的系数条件，列出系统所有可能的无穷远奇点和特殊方向，并判断其类型，由此画出系统的各种可能的全局相图。 |
| 8. | First , proper initial conditions between ekv and target are the premise of hit - to - kill . capture region is described by equations of relative motion defined in modified polar coordinate while phasetrajectory graph is introduced . and the disturbance of initial condition biase is analyzed by cadet through statistical linearization of ekv dynamical model
本文在修正极点坐标系中建立拦截器和目标之间的相对运动方程,结合相平面轨迹图,分析了大气层外动能拦截器的拦截区;对大气层外动能拦截器动力学模型进行统计线性化,采用协方差分析描述函数法,分析了初始状态误差对弹道的影响。 |
| 9. | In this technique , the two - terminal date sampling unsynchronized angle is considered as a unknown quantity , and the fault location equation x = f ( ) is established . superimposed components of two terminal electrical quantities are used in the algorithm . the unsynchronized angle is solved iteratively by equation im ( x ) = 0 , and the accurate solution of x is found finally
本方法将两端数据采样的不同步因素以不同步角的形式引入，建立x = f ( )的测距方程，在算法中采用两端电气量的故障分量，并利用im ( x ) = 0这一条件用搜索法求解不同步角，进而求得故障距离x 。 |
| 10. | Nature of the singular point of plane poincare mapping that is established by equation ( 1 ) is analyzed . relationship between the three parameters and homoclinic orbit and heteroclinic orbit of the hamilton system corresponding to this sort of equation is discussed . the adequate and essential condition of the existing homoclinic orbit or heteroclinic orbit for the hamilton system is presented
分析了方程( 1 )建立的平面poincare映射的奇点性质，讨论了此类方程对应的hamilton系统的同宿轨道和异宿轨道与三个参数o 、夕、尸的关系，给出了hamilton系统存在同宿轨道或异宿轨道的充分必要条件。 |
