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OK. So if we have variables, one of the questions we can ask is, what's the type of the variable.
好，如果我们有了一个变量，我们要问的问题之一就是，这个变量的类型是什么？
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when we're discussing an issue, that are definitely very different points of view.
当你讨论一个问题的时候，当然有非常不同的观点。
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I first had a list of size 8, then 4, then 2, but then I had another problem of size 2.
首先是一个有8个元素的序列，接着变成了4个元素，接着2个元素，然后我就碰到了有2个元素的另一个问题。
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Suppose there is an epiphany at 11:54 and you get a perfect score on that question 25% and it is worth 25% of the paper.
假设在11：54的时候灵感来了4,你在那个问题上有一个完美的分数,占试卷的。
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One problem is that they're not always accurate and there's a couple of factors that could lead them away from accuracy.
其中一个问题就是它们并不总是准确的,有几个因素,能减低它们的准确性。
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Linear algorithms tend to be things where, at one pass-through, you reduce the problem by a constant amount by one. If you reduce it by two, 1 it's going to be the same thing.
有问题么？,线性复杂度的算法，当进行了一个,常量级步数的操作的时候，将问题的规模缩小了一个。
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The passage is: Here there is a sort of question, call it historical, of which we are only glimpsing today, the conception, the formation, the gestation, the labor.
这段话是：,有一个问题吧，关于历史的，我们今天只粗略地看看，它的设想，构成，妊娠，和分娩。
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Because it's the same actor who plays the Beast Avenant, and then again Prince Charming I had a question ? That's OK?
因为演野兽,阿瓦南，还有王子的都是同一个演员,我有一个问题,可以说么？
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So that was one interesting question that came up, so keep this in mind if you're wondering about this idea of chords.
这样就有了一个有趣的问题，将这个关于和弦的疑问保留在脑海里。
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Before we get to suicide, you might say, the question that's going to entertain us for the remaining few weeks is this.
在我讲到自杀之前，你可能会说，剩下几个星期里让我们有兴趣的,问题是这样一个问题。
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The big question for American now is whether there will be light at the end of the tunnel after more than 8 years of war there, after all that life lost and fouture spent.
现在对于美国一个重要的问题就是,是否有曙光的出现,8年的战争中，美国政府花费了大量的金钱，很多人也因为战争也失去了生命。
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Suppose you are interested in investing in debt of companies, then you as an investor are subject to the problem that you might end up with the worst stuff if you don't watch out.
假设你有兴趣投资于公司债权,那么作为投资人你会面临这样一个问题,如果不谨慎,投资有可能会血本无归
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So here's the other issue, there's a price in this market, we might want to think of as the kind of focal price as an interesting price, and that's the price at which, the price I would choose were I the monopolist.
另外一个问题是,市场中有一个价格,可以理解为一种焦点价格,一个有趣的价格,这个价格是,我作为垄断企业时所选择的价格
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That's four items. Show up, sit down, and the first question is does anybody have a pen?
总共4件东西，你们来到，坐下，第一个问题是你们有带铅笔吗？
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The issue of connection has social factors and it's one answer that sociologists give for why it's good to go to Yale.
连接性这个问题是有社会因素的,社会学家给出过一个答案,为什么去耶鲁读大学是好事。
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So that you will come away with a sense of what you can do, what you can't do, and what kinds of things you should use to tackle complex problems.
因此你们才能对,你们能做的事儿，不能做的事儿,和用何方法去,解决棘手问题有一个基本概念。
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I want to end by talking about the two halves of the brain and ask the question, "How many minds do you have?"
我想以讨论大脑两半球来作为结尾,问一个问题,"你们有多少种心理活动"
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STUDENT: I had a question about what you were talking about just before.
学生：我有一个,你之前讲过的问题。
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But there's a big confound, there's a big problem in studies of those kind of relationships.
但是有一个让人混淆的问题,存在于这种关系的研究中。
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One of the reasons this understanding seems so problematic is the idea that we don't appeal to the authority of an author in making our mind about the nature of a given field of discourse.
这种理解之所以看起来有问题,一个原因就是我们不会为了弄清一个特定领域话语的本质,去诉求作者的权威。
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I never met anybody who seemed more like an author than this person, and yet he's raising the question whether there is any such thing, or in any case, the question how difficult it is to decide what it is if there is.
我从来没有遇见过比他看起来更像作家的人，现在他提出了一个问题，问无论如何，如果有这么个东西的话那么决定它是什么有多难。
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But there is a wrinkle here.
但是这里有一个小问题。
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The trouble is,imagine the case where we've got one guy who's got all of Napoleon's personality in Michigan, one guy who's got all of Napoleon's personality in New York.
但问题是，试想有这么一个人,出现在密西根，拥有拿破仑完整人格，另一个在纽约，也拥有拿破仑的完整人格。
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I have a question about this book.
对于这本书，我有一个问题。
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There is a homeless person " and--but these are day-to-day moral questions we struggle with all the time and so there's a centrality in the study of how we do moral reasoning.
又有一个流浪汉走来了“,这些就是我们每天,都要应付的道德问题,所以这当中有一个中心,存在于我们的道德推理研究中。
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So here's a question for you.
所以这里有一个问题
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That in many cases, I can gain efficiency if I'm willing to give up space. Having said that though, there may still be a problem, or there ought to be a problem that may be bugging you slightly, which is how do I guarantee that my hash function takes any input into exactly one spot in the storage space?
普遍存在的增益和权衡,在许多的例子中,可以通过牺牲空间而得到效率方面的增加,话说回来，仍然存在一个问题,或者应该会有一个问题困扰着你,就是我如何保证我的哈希函数能够准确将,任一输入映射到相应的唯一的存贮空间中去？
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This just brings us back to the thought that whether or not I could still exist after the death of my body looks like it should depend on what I am. So in a minute, that's the question that I'm going to turn to.
这又带回到我们的另一个思考,我是否有可能,在我死后一直存在,这取决于另一个问题"我是谁",待会,我会谈到这个问题
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But this is a -- this raises a problem, that we'll see actually in just a moment having this duplication.
但这就引起了一个问题，我们刚才看到了,我们有一个重复的值。
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