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In part because one of the things were trying to accomplish is to have you folks start noticing ambiguities in problem statements.
我们一直想要你们注意到,问题陈述中的不明确性,因为这就是生活中的计算。
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So there was a good question in Wednesday's class about the de Broglie wavelength and if it can actually go to infinity.
在周三的课上有个关于德布罗意波波长的问题,非常好，就是它能不能到无穷大。
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Well, it is the disclosure of error that other forms of discourse supposing themselves to refer to things remain unaware of.
好的，这揭露了一种错误，也就是,其它文体假设自己指出了其它一些人们从未意识到的问题。
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In fact, better than that, this guy is already sorted as well because I whittled that problem down to size 1.
事实上，更好的结果是这个杯子也是有序的了,因为我已将这个问题的规模削减到只有1个元素。
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This is more well-established question of nurture, in terms of moving away from the way we normally teach to what is clearly more effective way.
这更是一种,培养方法问题，从我们平常的教学方法,转移到,明确的更有效的方法。
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Because, when you ask yourself that question, you should consider what is the thermal energy versus the bonding energy?
这是因为，对于这个问题，我们应当考虑到,什么样的热能,对应于键能？
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The centrality Aristotle ascribes to politics forces us to consider another question ? namely what is the purpose of this study?
亚里士多德加到政治中的,中心论点迫使我们考虑另一个问题,即这门研究的目的为何？
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and the question that I've been asking They are The Tadzhiks in Afghnastan constitutes what about half of the entire population?
我一直在问的一个问题就是,塔吉克斯坦能占到多少，一半的整个阿富汗人口？
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If anything happens to me in my livelihood, then it's spread out over everybody and everybody means the whole world.
如果我的生计出问题了，它将分散到每个人身上,每个人指全世界的人。
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Yes. I'm glad you actually asked me about that because, as I said it, I realized it wasn't quite right.
很好,非常高兴你能问我这个问题,因为我之前说过这话,但我认识到这话是不对的
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A lot more of you chose numbers between 20 and 30, so we're really getting into the meat of the distribution.
有很多人选了20至30之间的数,所以我们已经涉及到分布的问题了
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I had my suspicions about the milkshake, and so I took a sample and I rushed it down to the lab.
我怀疑奶昔有问题，于是我取了一份样品，跑到实验室化验。
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So, there we go. But somewhat here in war and peace of battle is slowly being relegated to the background.
所以战争与和平问题,就慢慢转移到这个背景上
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When it comes to differences of human rights and religious practices, so Claims and Conflict, people in different disciplines say "We need stronger laws, we need this, we need that."
当说到人权问题和宗教实践,在各国的不同时，也就是所谓的“冲突中的观点“,持有不同观点的人都会说,“我们需要更完备的法律，需要这个，需要那个“
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Any questions so far?
到此有问题吗？
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One of the things we want to help you do is identify the different classes of algorithms, what their costs are, and how you can map problems into the most efficient class to do the computation.
我们想要教会你们的事情之一就是,学会辨别不同种类的算法，它们的代价是怎么样的，以及怎么样把问题映射到,最有效的算法种类中去做计算。
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So let us begin our examination of this question with the consideration of the poem's form.
让我们来探寻这个问题,这就要考虑到这首诗的形式。
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And actually on terms of the dollar, I think you gotta be concerned about the dollar. -You do Dollar is our currency.
说到美元这个问题，我认为这才是我们应当担心的，-是吧,美元可是我们的流通货币呢。
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Now I've already suggested the problems that arise when you consider this term even in and of itself.
我已经暗示到,当你甚至在这个东西内部和自身考虑时出现的问题。
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We just go through the list top to bottom, left to right, and cross names off as we go.
我们会从上到下，从左到右看那个问题清单，如果解决了就把名字擦掉。
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So, this raises kind of an interesting question in terms of what the difference is between these two cases, and we're talking about numbers of energy.
那么，到这里就出现了一个很有意思的问题,那就是下面这两种情况的区别在哪里？,当然我们关心的是能量的多少。
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To see the nature of the problem you've got to think about the fact that it's a combination package.
要看到问题的本质,你必须考虑到这是一个组合的事实。
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Using the material you've learned in class, you'll be expected to answer some big questions for an 8-page final paper that you'll turn in at a date to be assigned.
运用你在课堂上学到的材料，在8页论文中回答某些大问题,然后准时交给我。
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And it turns out-- a little teaser for our security discussion as time passes that a lot of the times when software is compromised and you download Photoshop like a cracked version of Photoshop or something like that.
这对于即将讨论的安全性问题来说,只是一个小插曲，随着科技的发展,很多时候，如果工具受损,你会下载到一个版本不全的,或其他类似的东西。
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Again, same kind of reasoning says, given some value x, I happened to pick a small one here, what's an easy way to do this? Well, let's just start at one. That's my variable I'm going to change and check.
好，尤其是，让我们到这里来,让我给大家看看第二个例子,让我把这个注释掉，这是我要解决的，第二个问题，假设我想找到一些整数的,所有除数，我想要找出来这个数的所有的除数。
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So I think it is important to keep this in mind and I'm gonna be coming back to this a number of times as we talk about the experiments we were doing at the Soen School of management.
你们要牢记这一点,因为之后,我们会谈到这个问题,做的实验时,我会反复提到这个内容。
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But what we-- what we do want to do, is to give you some intuition about how to approach questions of efficiency.
但是我们想要你们产生，对于处理效率问题的一些直觉,你应该会意识到为什么。
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Your final exam will be basically one or two questions that I'll give to you ahead of time.
你们的期末论文要讨论1到2个问题,我会提前给你们的。
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