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So it's a really powerful and simple formalism, once we set up what is needed the go through it, right?
因此这是一种很强大而简单的形式,一旦我们定下需要什么,就可以推导出它，对吧？
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To figure out even what this thing is, let alone how to use it properly. So, you know, I'm sympathetic.
就连认出这是什么东西（都很困难），更别说正确应用它了，所以我很同情这点。
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What is that? It's the piece of code we wrote for computing square roots, square roots of actually perfect squares.
对吧？这是什么呢？,这是我们写的计算平方根的代码，计算完全全平方根的。
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I sit in my field. I'm eating my carrot. I hold it up and I say, "This is raw? It's ridiculous. 'Raw' as opposed to what?" Right?
我坐在我的地上，我吃我的萝卜，我突然拿起它，说，这萝卜是生的吗，这简直荒谬，不是生的是什么，是吧？
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If you don't have the units, then if you say the answer is 19, then we don't know what it means.
如果没有的话,比如你的答案是十九,那我们就不知道这是什么意思
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Well this third picture you can't probably see too much about but you probably recognize what it is, right?
第三张图可能你们没见过了,但你们能认出这是什么,对吧
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And, following a test, a lot of people write in pencil: don't try to erase something and bring it back and say that, oh, actually, this is what I had because we look at that and go, this is perfect.
还有，在测试的时候，很多人用铅笔：,不要试图擦掉什么，把它带回,说，事实上，这是我的,因为我们看了一下就走了，这很完美。
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We have these pitches and all listen and then you can tell me what instrument is playing it.
我们听到这样的高音,大家都来听听看然后告诉我这是什么乐器演奏出来的。
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But more important, it is what you are doing differently, how this has an impact on your life and that takes effort.
但更重要的是你们所做的改变是什么，这对你们的生活有怎样的影响，而那需要我们的努力。
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Top-down processing is an example of when you know what something is you hear it that way.
举例来说,自上而下加工就是,当你知道某句话是什么的时候,你便会按照这句话去听
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This is a broad, philosophical, partly scientific view of what people might eat, and it's not a bad set of rules to follow.
这句话是一个宽泛的关于人们该吃什么的,富有哲学性又带有科学性的观点,是一套不错的守则
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But whatever your reason for being here this is in fact our introduction to Computer Science; and contrary to what you might have heard or seen or perceived in high school, odds are computer science is not quite what you imagined it to be.
但是不管你们来这儿的原因是什么,这门课介绍的都是计算机科学,可能与你们平时听到的看到的,或者在高中时所想象的恰好相反,计算机技术的优势完全不是你想象的那样。
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What does it mean that both of these elements have been retained here side by side? What is the phrase? The whole is greater than the sum of the parts. So keep that awareness.
同时保持这两种意识是什么意思呢，哪句话可以,概括这一情况，应该是“整体大于部分之和“,所以请时刻记住这点。
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So let's just think exactly what this means, and that means that if we take away function and we define it in terms of n, l and m sub l, what we're defining here is the complete description of an orbital.
让我们来考虑一下这是什么意思，这是说如果我们不考虑波函数,而是用ｎ，ｌ，ｍ下标ｌ来定义它，我们定义的,是一个轨道的完整描述。
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This is an outrageous claim. What does it mean?
这一说法让人吃惊，这是什么意思？
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And it may be that what we should conclude is, whatever the best answer to that question is, it's not the question we should really have been thinking about.
也许我们能得出的结论是，无论这问题最佳的答案是什么，这都不是我们最该考虑的问题。
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Does anyone know what it is?
有人明白这是什么意思吗
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What does this mean? Linearity of solutions, the elegant way of saying it is superposition holds.
这是什么意思，方程的线性关系，是解决问题的十分漂亮的方法。
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When you start getting inversion, "what note is it,what chord is it, " that obfuscates the issue.
当你感觉纠结于，这是什么音符，那是什么和弦，那你就是把这个问题搞糊涂了。
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I want to just use it, I shouldn't have to worry about what variables I use inside of it, I have shouldn't have to worry about where that is in the code, I should be able to just abstract it away. And that's what we want to add today, are those two things.
我只是想使用它,我不用考虑我在这段代码中,使用的是什么变量,我完全不用考虑代码的内容,只要抽象就好,我们今天想补充的内容就是这两点。
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What is it saying? What is its meaning?
这首诗在说什么呢？它是什么意思？
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So the question we want to get clear on is what is it for somebody on Tuesday to be the same person as the person here talking to you on Thursday?
所以我们要弄清楚的问题是,下星期二给你们讲课的,和今天，星期四的是同一个人,这意味着什么？
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OK. Binary search is perhaps the simplest of the divide and conquer algorithms, and what does that mean? It says, in order to solve a problem, cut it down to a smaller problem and try and solve that one.
好了，二分搜索也许是,最简单的分治算法，这意味着什么？,也就是说，为了解决一个问题,把它切割成小的问题,然后再来一个个解决。
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You'll know what sort of thing this is and you'll be able to examine it in that light.
你知道这是什么,你就能从这个角度去审视它了。
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What is it for somebody in the future to be the very same person as this person who is here now today.
一个在未来的人,和今天在这里的是同一个人,这意味着什么。
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And so we'll talk about technologies like this, where they're at, what the scientific basis of it is, and how they might be useful.
我们将讨论这门技术会应用于哪些领域,它的科学原理是什么以及,如何使他们发挥作用
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And so it's a very interesting question to ask, what is this?
这里有个很有趣的问题,这是什么
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What is it that tells us that it's in duple meter?
是什么告诉我们这是二拍子的呢
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When we look at this angular part, we see that it's always the square root of 1 over 4 pi, it doesn't matter what the angle is, it's not dependent on the angle.
当我们看这角向部分，可以看到它总是等于１除以４pai开根号，这和是什么角度没有关系，它和角度无关。
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