提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；

First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.

youdao

所以你们主要有，一个粒子的波动方程，我们的目的是考虑一个特殊的粒子，我们感兴趣的是电子。

So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.

youdao

根据特殊的地质和水动力学特征，对常规物质平衡方程进行了改进。

Based on the special geologic and hydrodynamic features, the conventional material balance equation is modified.

youdao

So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.

所以你们主要有,一个粒子的波动方程，我们的目的是考虑一个特殊的粒子,我们感兴趣的是电子。

麻省理工公开课 - 化学原理课程节选