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They are proved to be Lyapunov stable and asymptotically converge to an exactoptimal solution in the large.

第六章通过将上下界约束的非线性凸规划转化为等价的变化不等式，给出了求解它的一个神经网络。

According to Lyapunov stability analysis, it is proved that the proposed method can guarantee both synchronization and position errors converge to zero and the system is asymptotically stable.

基于李亚普诺夫稳定性理论证明了所提出的控制策略能够使同步误差和位置误差均收敛到0，并且只保证了系统的渐近稳定性。

In many practical applications, we have adopted a software standard RS232 asynchronous serial communication, the result proved very stable and reliable.

在很多实际应用中，我们已经采用了软件实现RS232标准的异步串行通信，结果证明工作非常稳定可靠。

The results found by both the groups of researchers are still to be proved, but the findings deserve concern and it is high time to take precautions if at all any risks are involved in using mobile phones.

结果发现这两个集团的研究还有待证实，但值得关注的调查结果和现在是采取预防措施，如果在所有的风险都参与了使用移动电话。

It is proved that the problem has a global solution whose limit at infinity solves the original equation.

本文讨论解算子与右端数据均有扰动的半正定算子方程的动态系统方法。

Because the atomic lattice structure of gallium nitride is better matched to sapphire than it is to silicon making LEDs on silicon without distortions has proved extremely tricky.

由于镓 氮化合物的原子格结构和"蓝宝石"的匹配要比它同硅的匹配效果好所以不进行弯曲来进行 LED灯泡的生产被证明是极其精明的。

Because the atomic lattice structure of gallium nitride is better matched to sapphire than it is to silicon, making LEDs on silicon without distortions has proved extremely tricky.

由于氮化镓的原子格栅结构能更好的与蓝宝石匹配，所以在硅片上不发生变形地制造发光二极管就特别难以把握。

The chelate structure was examined by AFM scaning, single strand structure at AFM gram is Ala-Gln, two combined single strand is Ala-Gln-Zn~(2+), and atomic radius of Ala-Gln-Zn~(2+)'s conjunctive atom is about 0.24 to 0.25nm, which is near to Zn~(2+), so the conjunction atom is Zn~(2+). Thus the coordination reaction and the molar ratio 2:1 is proved again.

原子力显微扫描指出，大量出现的单一弯曲链状结构是Ala-Gln分子，而两两组合连接的链状结构，则是Ala-Gln-Zn~(2+)螯合物，且连接两个链状结构、半径约为0.25nm的中心原子是Zn~(2+)，证明Ala-Gln与Zn~(2+)形成配位比为2：1稳定螯合物。

It has been proved that every substance, no matter what it is, is made up of atoms.

事实证明，世界上的每一种物质，无论它是什么，都是由原子微粒组成的。

It proved that the primary rain attenuation influence factor is the minute rainfall rate of 0.01% time.

这同时也说明了，影响降雨衰减最主要的因素是0.01％时间的分钟降雨率。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。