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Those of you more comfortable, rest assured we'll start filling in some gaps before long if you're already familiar with this.
那些程度比较好的同学，我们马上来讲一下以前遗漏的问题,如果你们已经熟悉这门课，那会觉得那容易接受。
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a sort of shorter interviews with writers in America with sort of sillier questions,
这个系列记录了我们对美国作家一些比较简短的采访。我们问了一些比较无聊的问题，
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The question is if women have less abdominal obesity, why would you find this elevated risk in women?
他提的问题是如果女性比较少患腹部肥胖,为什么在这里女性的患病风险比较高
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The perspective is tricky-- and so we're trying to find the roots.
从视图上来看可能比较困难,因此我们来试试找到这个问题的解。
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You can take a problem that might be relatively intuitive to solve but when you scale this thing up as is increasingly the case in the web, in large data systems, and so forth, you actually have to now think smart, you actually have to think efficiently and you have to solve this problem effectively.
你可以把一个问题用比较直观的方法解决,但如果你把此类问题的数量增大,正如越来越多的互联网，和大规模数据系统中出现的问题等等,你应该考虑怎样才能更简便，怎样才能更高效,你应该用行之有效的方法处理问题。
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Perhaps, there is a difficult question that you want to ask somebody.
假如你有一个比较困难的问题想询问其他人。
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That's a tough question.
这问题比较难回答。
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We did the comparison with the elephant or something; a is the second derivative of x and for this problem, when F is due to a spring, we know the force is that by studying the spring.
我们也已经把它与大象或其它东西作过比较,a 是 x 的二阶导数,在这个问题中,F 是由弹簧产生的,我们在讨论弹簧问题时已经知道了力的大小
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And we might see how the females in the class feel about some issue compared to the males.
我们可以比较课堂上的女同学,与男同学对于某些问题的看法
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If I'm basically just squeezing jello, that is, I'm trying to make the problem simpler, but the combination turns out to be really complex, I've not gained anything.
如果我只是简单的挤压果汁，那么我是在尝试着让问题变得简单，但是合并过程就真的比较复杂,我得不到任何东西。
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Typical characterization, not all the time, but typical characterization, is an algorithm that reduces the size of a problem by one, or by some constant amount each time, is typically an example of a linear algorithm.
我们学习过了线性算法，它的典型特征，不是通用的,但是比较典型的特征是，它是逐一减小问题的大小的，或者说是每次减小常数的大小。
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And it's called divide and conquer for the obvious reason. I'm going to divide it up into sub-problems with the hope that those sub-problems get easier. It's going to be easier to conquer if you like, and then I'm going to merge them back. Now, in the binary search case, in some sense, this is a little bit trivial.
因此被称为分治的原因就这么简单,将一个问题分解成一些子问题,并希望这些子问题解决起来比较方便,正如你希望的，求解的过程也会变得简单,下面就是把结果合并起来,现在，在二分搜索的例子里,从某些方面来说，这有点微不足道。
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Taking the problem, recognizing that you know what, 8 even though this is a pretty big problem size 8 in this case and last time it was size 8 or in the case of the papers in size of a thousand roughly with the phonebook, I assume these are in a perfectly straight line they won't quite fit.
以这个问题为例，你们要认识到，在这种情况下，这是个比较大的问题，其大小是,上次它的大小也是8，但在纸片那个问题中,电话簿的规模大概是上千的，现在假设这些,杯子完全在同一条直线上，虽然并不十分符合这个条件。
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