事实证明通过示例进行学习是非常有用的。

Learning by example has proved useful.

youdao

为了强调钥匙曝光的对安全造成的潜在危险，圣地亚哥加利福尼亚大学的计算机专家打算证明通过数码照片配制钥匙轻而易举。

Computer experts at the University of California in San Diego set out to show how easily keys could be copied from a digital image to highlight the potential security risk of leaving keys on display.

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这点通过在实验室中用老鼠做试验得到证明。

This was demonstrated in a laboratory experiment with rats.

《柯林斯英汉双解大词典》

This is the last question we'll see in class on the photoelectric effect, so hopefully we can have a very high success rate here to show we are all ready to move on with our lives here.

这是这个课上最后一个关于,光电效应的问题，所以希望,你们能有个高的通过率,来证明我们已经可以继续往下走。

麻省理工公开课 - 化学原理课程节选

This is boring. In fact, you can do some nice things to prove what is the class of functions you can compute with straight-line programs, and what you'd see if you did that is, it's not particularly interesting.

这很无聊，实际上，你可以通过做一些很有趣的事情,来证明你可以通过直线程序,来做很多功能，但是你也看到我们之前讲过的了，这不太有趣。

麻省理工公开课 - 计算机科学及编程导论课程节选

So if you demonstrate something by writing an intelligent answer just by outlining it and saying, well, what I would do is I would equate the energy lambda and then solve for lambda, I can see that you know what is going on.

如果你想证明一些东西,通过写下一些很天才的答案,仅仅大致说一下，好的，我想做的是能量相等,然后解出，我能看到你知道怎么做。

麻省理工公开课 - 固态化学导论课程节选