It has already been proved by my recent travels that my friend would never let me suffer from cold and hunger ever if I should go without writing a single word.
这次旅行就给我证明：即使我不再写一个字，朋友们也不肯让我冻馁。
The LED display has already been applied to travel's information system of railway, and it is proved to provide fine static and dynamic display with high brightness and without blinking.
该LED显示屏幕在地铁的旅客信息系统中得到了实际应用，实践证明能很好地静态动态显示，且亮度高、无闪烁。
People always expect to find out minimum reduction, but it has already been proved that it is a NP complete problem.
人们总期望找到最小约简，但这已被证明是一个NP完全问题。
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