| 1. | There are two approaches generally used to arrive at these approximations .
通常有两种方法用于获得近似解析式。 |
| 2. | Approximate analytical solution to the two - species competition system
两种群竞争系统的近似解析解 |
| 3. | The approximate analytic expressions can be derived out by computer aided method
近似解析解表达式由计算机辅助推导，计算程序集推导、计算、数值解以及绘图于一体。 |
| 4. | Its analytical solution is obtained and is compared with the measured results in real field
通过解析分析，得到振动轮运动的近似解析式，并与实测的动响应进行了定性比较。 |
| 5. | Meanwhile , deeply research has been done on the analytic root of current rush to interception air - mass with delivery system
本文同时还对输水管道压力水流冲击截留气团近似解析解进行了深入研究。 |
| 6. | Comparing the difference between the small - signal approximation analytical and numerical solutions , it is realized that the small - signal approximation is not an approximate choice for the analysis of the dynamic characteristic of the bistable laser
在对小信号近似解析解与数值解进行比较的结果中，得知小信号近似并不适合双稳动态特性分析。 |
| 7. | The optimum designs of a good and applied outer pressure tank structure of submarine ? quasi - homocentric structure , based on approximate analytical methods and finite element stress analysis method are made
提出了准同心圆式潜艇外部耐压液舱结构是一种优良实用的结构型式，给出了这种结构基于近似解析法和基于有限元应力分析的结构优化设计方法。 |
| 8. | A numerical approach and a novel analytical solver are used to solve the governing equation of cantilever beam actuated by electrostatic force , and dynamic responses of the cantilever are calculated by mode - superposition
摘要给出了一种静电力作用下微悬臂梁控制方程的数值求解方法，提出了求解该模型的近似解析式和修正解析式，并采用模态叠加法计算微梁的动响应。 |
| 9. | Using this method not only the necessary condition of existence and the approximate analytic expressions of the periodic solutions for primary - harmonic , super - harmonic and sub - harmonic resonances can be obtained , but the criteria of stability for these solutions can also be gained
该方法给出了二阶强非线性非自治系统主谐波共振和超谐波、次谐波共振周期解存在的必要条件，求得了这些周期解的近似解析表达式，并且得出了解的稳定性判据。 |
| 10. | A new numerical algorithm integrating a quasi - analytic numerical algorithm with the gear numerical algorithm is used to solve the ordinary differential equations with stiff problem . to accelerate the solving of ode , the optimum step method is introduced into the composite numerical algorithm
针对重整反应模型方程的特殊结构和刚性问题，提出了一种形式更简单方便的近似解析数值算法和吉尔法相结合的混合数值算法，并引入了最优步长方法。 |
