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So this is important, it's a little bit subtle, but if you don't really understand this deeply, you'll find yourself getting confused a lot.
但你如果没有挺深刻的理解，这件事的话，你会发现自己在这个问题上很困惑。
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So, Columbus gets the glory of discovering America but it's up to debate if he actually did discover it.
所以，哥伦布获得了发现美洲的殊荣，但对于这个问题，人们仍然争论不休。
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The problem is even more severe when you look at something that's relatively new, like the hedge fund world.
在相对新鲜的投资领域,你会发现这个问题更加严重,比如在对冲基金领域
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As you have discovered in recent problem set, it is possible to construct all subsets of a set.
正如你在最近的问题集中发现的，构建集合的所有子集是可行的。
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I want you to draw some conclusions about its authorship and the way it was compiled or composed." And so you pick it up and you start reading and you notice features like this.
关于作者的身份，以及创作的方式,做一个总结,带着这些问题，开始读书的时候，你会发现这样的特点。
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And so if you know what patterns of zeroes and ones to look for as you will yourselves this year in that forensics problem set, can you recover a lot of that data?
如果你知道如何去发现,这些0和1的排列规则,这也是套题中的问题，你就能恢复把这些大量数据恢复？
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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。
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When we do relativity, we'll be dealing with vectors in space-time and we'll find that different observers disagree on what is this and what is that.
我们学习相对论的时侯,会涉及到时空矢量的问题,我们会发现观测者们对于观测的结果,有着不同的看法
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The second thing that he found was this group, they were always asking questions, -always asking questions, initially of their boss, later of their employees, of their partners, children, parents, friends.
他发现的第二件事是，这部分人，一直在问问题，一直问问题，最初是问他们的老板，后来是问他们的雇员，他们的搭档，孩子，父母，朋友。
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We've done some research on this in the past and found that men and women differ in the response to that question, and of course, the level of stress matters and even the type of stress people are feeling.
我们曾经就此做过一些研究,发现男人和女人对该问题的回答不一样,当然,压力的程度会有一定影响,而且人们所面对的压力类型也会有影响
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This is the first full paragraph: I don't know how to cure the sourcitis, except to tell you that I can discover a good many possible sources myself for Wise Blood, but I am often embarrassed to find that I read the sources after I had written the book.
这是第一段的全文：,“我不知道如何解决资料来源的问题，只能告诉你,我自己发现了很多《慧血》的材料来源，但我经常觉得很难堪,因为我在完成了那本书后才读的资料。
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It's worth saying a word about that, because I want to undermine any great confidence that you may have and what you can believe that scholars tell you, because we keep finding out how wrong we are about all kinds of things.
这里得说的是,我想给自信满满的家伙泼点儿冷水,你曾深信不疑的学者们告诉你的那些事,不断被发现,并在很多问题上都存在纰漏
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The final section of the poem presents us with the most powerful temptation that John Milton can confront, and we will find that this is a problem that continues for the rest of his writing life.
诗的最后一部分呈现给我们,弥尔顿会面对的最强有力的诱惑，我们将发现这是个,贯穿他以后写作生涯的问题。
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And I so much chuckled myself to find that I am a women-studies person.
有意思的是我发现自己,是个做女性问题研究的人。
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What's one of the problems you see or that we tripped over already?
你能发现其中的一个问题吗,或者你们已经遇到困难了吗？
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I'm transferring this to the portfolio management problem and you can see it's the same idea.
如果将保险转化为投资组合管理的问题,你会发现原理是一样的。
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But you see the difference. Great question, and a very important thing to understand, and that's why I'm belaboring this point, since this is where people tend to get pretty confused, and this is why mutation is very important to understand. Yeah.
但是你们已经发现区别了，这问题挺好的，并且有重要的一点需要我们去注意的是，人们经常对可变性这一点感到很迷惑，但是可变性是很重要的,我们需要理解它,这也是我经常强调这一点的原因。
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That's a complicated thing that accountants figure out and accountants find it difficult to define the earnings of a company, but they do something and they come up with a number.
会计们会计算这个复杂的问题,他们还会发现公司收益很难定义,但是他们会想办法,得出一个数字
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See if we can find it here. And notice, by the way, that I commented out the previous debugging line, rather than got rid of it.
我们再去从它们的中间开始尝试，看看我们能不能发现问题源,顺便说一下，请注意。
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Redleaf was able to figure out who was going to get hit for the backdating scandal before other people did and then that was an advantage.
莱德利夫可以在其他人之前,找出谁将在这个倒签丑闻中被调查,他抢先一步发现问题,这是他的优势
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Okay, so you can see the size of the errors and you can see the problem with dietary assessment, and you can see the problem with how many calories get packed in processed foods.
你们看见了,误差的幅度很大,你们也明白了膳食评估的困难,你们也发现了,加工食品含有大量卡路里的问题
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Well, realize one of the themes in this course and really one of the themes in programming and solving any problem with a machine is going to be really to just take small bites one at a time out of these problems until the end result ultimately is that you've actually bitten off a fairly large fairly interesting problem and in the aggregate, you've actually implemented something pretty sophisticated.
好吧，让我们先想一下这件事带给我们的主题,编程和解决问题的思想,一台机器最开始只会一步一个脚印,沿着要解决的问题向前迈进,直到最终的结果出来,最后你会发现，你已经解决了一个相当大,相当有趣的问题，而这个问题在最初看起来确是相当复杂的。
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