I hope you can see this because I'm going to try and simulate what a merge sort does. I've got eight things I want to sort here, and those initially start out here at top level.

我希望你们认真看,因为我要尝试着模拟出归并排序的操作过程,这里我有八个元素进行排序,第一步是将它们分成两半，对吗？

麻省理工公开课 - 计算机科学及编程导论课程节选

You've got to put yourself in other people's shoes to figure out what they care about and what they're going to try and do, so you can respond well to that.

你要学会换位思考,去分析他们的收益是什么,他们要怎么做,并依此做出回应是很难的

耶鲁公开课 - 博弈论课程节选

But the idea is to try to present to you what's exciting about Biomedical Engineering, the ways that one can take science and mathematics and apply that to improve human health.

这门课力图向你们展示,生物医学工程那激动人心之处,它融合了自然科学和数学,并用其成果提高人类健康水平

耶鲁公开课 - 生物医学工程探索课程节选

You can brute force it and unfortunately, the so-called Caesar cipher is not very secure because if you assume, for our purposes in English alphabet with 26 characters, say all lowercase for all uppercase, my God, you only have to try like 24, 25, 26 possible rotations until you can figure out what his secret message is.

你可以强行解密但是不幸地是，所谓的凯撒密码不是很安全的,因为如果假设，对于我们的26个字符的字母表,指明所有的小写为大写，我的天，你只要试24，25次，26次就可以解答出,密文的内容。

哈佛公开课 - 计算机科学课程节选

That's a little bit of a tricky question but-- So, do the best you can on it and think-- try to think about what this kind of theory would imply for gambling behavior.

这个问题有些难度,但是...,尽力思考这个问题,思考下这一理论,该如何应用到赌博行为上去

耶鲁公开课 - 金融市场课程节选

And the other thing you can do is take self reports like the ones you're doing, hopefully do enough of them, and a random enough sample of the population, that you can extrapolate from that sample to the whole population, and try to estimate what people are eating in that way.

还有其他可以做的,比如大家正在做的这种个体调查,希望能把它做的充分些,如果有充足的随机样本,就可以从样本推断出,整个总体,从而推断哪类人有这样的饮食习惯

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选