So, now I hope you have in your mind a picture of the way the Greek world had expanded by the time this wave of colonization was complete--pretty complete, sometime in the seventh century B.C.

希望现在你脑海中有一幅,那时候希腊世界扩张的地图,在公元前七世纪的某一阶段,形成了一个完整的殖民浪潮,相当完整

耶鲁公开课 - 古希腊历史简介课程节选

Yeah, if my machine will come back up, there we go. So, I'm going to now go ahead and write a little piece of code, and I put it here and I hope you can actually see these better this time, let me uncomment that region.

让我们写出代码来吧，好，如果我的电脑能回来的话,好了，那么，我要去写一小块代码,我把它放在这里以期望大家这次,能看的更清楚点。

麻省理工公开课 - 计算机科学及编程导论课程节选

5 years from now I certainly hope to be happier than I am today.

5年后我当然希望自己能比今天幸福。

哈佛公开课 - 幸福课课程节选

I would hope that how you lead your life ten years from now, twenty years from now, thirty years from now, would have been significantly influenced by this particular experience in this course.

我憧憬着,十年,二十年,三十年后,你们会怎样经营自己的生活,你们的生活方式,会怎样被这门课深深影响

耶鲁公开课 - 聆听音乐课程节选

Now, since of course, I believe the views I believe... and I hope at the end of the semester you'll agree with me, because I think they're true and I hope you'll end up believing the truth.

现在，从这节课开始，我相信这个观点，我相信。,也希望在这个学期末你们能赞同我，因为我相信那是真实的,我希望你们最后能停止相信,你们所以为的真实。

耶鲁公开课 - 死亡课程节选

Now, I hope you guys know that much calculus, that when you take a derivative of a function of a function, namely v square over 2 is a function of v, and v itself is a function of t, then the rule for taking the derivative is first take the v derivative of this object, then take the d by dt of t, which is this one.

我希望你们了解更多的微积分知识,当你对复合函数求导时,也就是说v^/2是关于v的函数,而v本身是关于t的函数,求导的法则应该是,第一步是这一部分对v求导,然后v再对t求导,得到这一部分

耶鲁公开课 - 基础物理课程节选

Now I am happier today than I was fifteen years ago when I started. I hope to be happier 15 years from today than I am today.

现在的我比15年前的我更快乐,我希望15年后的我,比今天的我更快乐。

哈佛公开课 - 幸福课课程节选