So this is very similar, this is a kind of recursive thinking we talked about earlier, where we take our problem and we make it smaller we solve a smaller problem, et cetera.

我们则跳过比猜想数小的那个区间,然后我们重复这一过程,跟之前我们讲过的，递归思想非常类似,我们解决问题的时候,先把问题一步步变小，然后解决小问题。

麻省理工公开课 - 计算机科学及编程导论课程节选

because I see the problem with our society right now, is that people don't have the opportunity to sustain themselves

因为我们现在的问题是人们没有机会来供养自己，

要学习环境法 - SpeakingMax英语口语达人

Milton wants the reader to know that she's fallen, we are all fallen, and any problem that we have in understanding the theology of heaven and hell is our problem as fallen readers.

弥尔顿希望读者认识到她在堕落，我们也在堕落，以及我们在理解天堂中遇到的任何问题,以及地狱式我们这些堕落了的读者们的心魔。

耶鲁公开课 - 弥尔顿课程节选

And we're actually going to get a little bit deeper in our clicker questions here, since when you do your problem-set it won't be quite this straight forward that you'll be answering this kind of question, but actually you'll be thinking about how many different orbitals can have certain state functions or certain orbital names.

事实上我们要讲的,比这个问题还要深一些，因为当你们做习题集的时候,你们不会遇到这么明显的问题，而是要考虑有多少个轨道,有某种特定的态函数,或者特定的轨道名字。

麻省理工公开课 - 化学原理课程节选

Of course, we could perhaps deal with that problem by making us more rat-like in terms of our thinking processes.

当然也许可以解决那个问题,只要我们像老鼠一样思维。

耶鲁公开课 - 死亡课程节选

One hundred fifty plus office hours is the current tally that you'll see starting to appear on the course's website, thanks to our 60 plus person staff and you'll also see online soon once you have your accounts as per problem set 0 spec.

50多个小时的课时,就是你现在在课程网站上要看到的，在这里我们要感谢60多位同仁的帮助,一旦你开通账号，你就可以在线看到了。

哈佛公开课 - 计算机科学课程节选

And we want to help you learn how to map a problem into a class of algorithms of some efficiency That's our goal.

学会如何将一个问题,映射到一类,提升效率的算法中去,这就是我们的目标。

麻省理工公开课 - 计算机科学及编程导论课程节选

We've got, I believe a real problem on our hands in the economy.

我相信,在经济方面这次我们真遇到了麻烦。

耶鲁公开课 - 金融市场课程节选

A second problem is what I was talking about immediately before this is some of our data are misleading so we get a lot of the information about the world from the media.

刻板印象的另一个问题是,我刚才就讲了,我们接收到的有些信息是误导人的,我们能接收到这个世界很多信息,从媒体上接收到。

耶鲁公开课 - 心理学导论课程节选

Right now at this point in our course, whenever you have a problem where there is some body and someone says, "Write all the forces on it", what you have to do is very simple.

现在在我们这个课程里,如果你遇到一道题目,题目给了你一个物体,并要求你,"写出该物体所受的所有力",你要做的其实很简单

耶鲁公开课 - 基础物理课程节选

Take the example of "plastic" again: "Oh, gee, that's a strange word," we say, so we go to the OED , we see it meant something different then, our problem is solved, and we continue.

再拿“塑料“来举例：,我们说，“哦，那是个生词“,所以我们去查牛津大学英语词典，我们发现它有些不同的意思，问题解决了，我们继续下去。

耶鲁公开课 - 文学理论导论课程节选

Where is the ingenuity there and how can we leverage that in our own problem solving?

那么其独创性在哪里？,我们在解决实际问题时该怎么去利用它？

哈佛公开课 - 计算机科学课程节选

There was a conditional agreement: yes, Norway should manage this oil risk but it's politically difficult and that's the problem-- is that we're not able to do our optimal management.

他们在一定程度上同意我的观点：,是的，挪威应该设法解决石油的风险,但这在政治上很困难,其问题在于-,挪威无法做到最优的管理。

耶鲁公开课 - 金融市场课程节选

So it's not, as I say altogether straightforward to see how the answer " "Death is bad for me, because when I'm dead I don't exist" how that answers the problem as opposed to simply focusing our attention on the problem ? How can nonexistence be bad for me?

所以这并不是，就像我说的,那么简单可以领会到这个答案,“死亡对我来说不好，因为我死了我就不存在了“,如何回答了这个问题,和我们仅仅把关注点放在问题本身相反,不存在怎么可能对我来说有坏处呢？

耶鲁公开课 - 死亡课程节选

So always amazing to us how we go into the problem, our eye or mind can see one class of solutions, but the math will tell you sometimes there are new solutions and you've got to respect it and understand and interpret the unwanted solutions, and this is a simple example where you can follow what the meaning of the second solution is.

解决问题的方式总能让人惊喜不已,我们的眼睛或思想可以看见一类解,但数学有时会告诉你还有新的解,你不能忽视它,而是解释这些不期而至的解,这只是一个简单的例子,由此你可以理解第二个解的意义

耶鲁公开课 - 基础物理课程节选