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Now I got one just simple thing, and I simply have isolated that module inside of that function.What about abstraction?
而现在我只要做一件简单的事，那就是我只需把这个模块,加到函数中去？
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But practice this, because it's something that's such an easy way to ask such a variety of questions.
但是你仍然需要好好练习，因为这个简单的用法能够提出各种各样的问题。
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So we haven't gotten to molecules yet, we're just talking about single atoms or single ions, but what's nice is just talking about this very straightforward principle of atomic radius.
我们还没有开始讲分子，我们仍然只是在讨论单个原子或离子，但它的好处在于可以讨论,这个关于原子半径的非常简单直接的原理。
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So this, too, fairly straightforward and yet and this was a socially awkward moment I had to ask her are you an adult or a senior?
这个也相当简单,这是一个社会尴尬的时候,我必须问她是一张成人票还是老人票？
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Now we may assume, having read only that much of the simile, that Satan's spear is as tall as the mast of the ship, not a small spear.
简单的读了一下这个比喻，我们可能猜想，撒旦的长矛如同兵舰的桅杆一样高。
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Let me simply tell you that in time I am going to show you that this formula is inconsistent with the Bohr model.
让我说简单点吧,之后我会向你演示,这个方程式与波尔模型不一致。
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It's a very important point, if you see the very simple math that I'm showing up here.
这一点要特别注意，看看这个简单的数学表达式。
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We call that a base case. It's basically the simplest possible solution to the problem.
我们说这是一个基础案例,这是这个问题最简单的解决方案。
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But actually, we could consider this model more generally, and let's just do so briefly here.
而实际上,我们可以把这个模型想得更普遍些,我简单在这讲一下
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Now, I want to say one other quick thing before we get to the substance.
现在,我想简单提一点别的东西,然后我们再继续讲这个问题
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This is a matter of simple algebra, of taking this and putting it here.
本质上讲,这是简单的代数运算,把这个式子代入上面的式子
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I do not think we can believe that simple story as it stands.
我并不认为,这个简单的故事真能站得住脚
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Let me illustrate the point with some very, very simple graphs.
让我用一些非常非常简单的图表，阐明这个观点。
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and much easier. But when we look at even within women's rights, can you give a brief assessment of how you think this places out in our own context, in American context, like the competing claims of human rights and religious rights?
对的,如果只看女权这个方面，你能给我们简单地说说,这在美国国内是如何进行的吗？,就如之前说人权,与宗教的冲突那样？
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We've talked about some of these already, having to do with the nature of the harmony-- that pop music tends to have simpler harmonies, and that those harmonies tend to be more repetitious, that they tend to have harmonies that have chords in root position.
我们以前说过，这个问题与和声的性质有关-,流行乐通常用较为简单的和声，流行乐通常用较为简单的和声，流行乐手也大多喜欢用原位和弦。
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this court is attributed to him, not 100% sure it's his-- said, "I would not give a fig for the simplicity on this side of complexity, " but I would give my life for the simplicity on the other side of complexity."
这个报告厅就是他捐建的，但不能完全确定是他所有的--说过，“我不会认为与复杂性一致的简单性是微不足道的，但我会把我的一生用来研究与复杂性相对的简单性“
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Because of that you can do the following experiment, and it's a simple experiment, it's simple to understand, but the concept is very important so I encourage you to think about it and make sure you understand it.
我们可以做一个实验,这是一个非常简单容易理解的实验,但是这个实验验证的概念非常重要,我希望你们能够仔细思考,并且能够掌握
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This is very easy molecule because we know exactly where to put them without even having to think, we only have one option, and we'll make a triple bond between the carbon and the nitrogen.
这个分子非常简单,因为我们知道应该把它们放在哪里,甚至不用去想，我们只有一个选择，我们将在碳与氮之间形成一个三键。
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it's an easy calculation -- we're just taking the negative of the binding energy, again that makes sense, because it's this difference in energy here. So what we get is that the binding energy, when it's negative, the ionization energy is 5 . 4 5 times 10 to the negative 19 joules.
这个计算很简单-我们,只需要取结合能的负值,同样这很容易理解，因为这就是这的能量差,所以我们得到的就是结合能,当它取负值，电离能就是5。45乘以。
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So, long story short after this fairly arcane syntax, the end result is completely straightforward, do the following 10 times.
如此看来，这个长篇故事经过这个奇异的语法规则，简化后就立马简单明朗了许多，只需要重复做10次就OK了。
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Merge. Now this is pretty easy, this one, but let's use the same heuristics.
合并，现在这个非常简单，但我们用同样的试探法。
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That's certainly one way to do it, but for computers that's not necessarily the easiest way. So another way of solving it is to do something we already saw last time, which is basically, why not simply enumerate all possible examples and check them?
将一个等式代入另一个等式，这当然是一种办法,但是对电脑来说这绝对不是一件简单的事,所以解决这个问题的办法，正如我们上一次看过的,非常基本？
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It's basically cycling through the loop a multiplying by a each time.
这个代码就是简单的循环,每次乘一个。
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And so, if I do that, this now becomes really easy.
如果我这样做的话，这个问题就会简单点儿了。
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That's an important observation, and as we get to the part of the course we talk about computational complexity, you'll see that what we really care about is not how efficient the program is on easy problems but how efficient it is on hard problems.
我们已经学习了这门课程的一部分了，我们要开始认识到,计算的复杂度这个概念，你会学习到我们在乎的并不是,算法在简单问题上的工作效率,而是解决复杂问题的效率。
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I use simple advisedly here.
我是故意在这里用简单这个词的。
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So here's a game which we're going to discuss briefly.
我们来简单地看一下下面这个博弈
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Well it's pretty easy, right?
这个非常简单，不是吗？
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Right now at this point in our course, whenever you have a problem where there is some body and someone says, "Write all the forces on it", what you have to do is very simple.
现在在我们这个课程里,如果你遇到一道题目,题目给了你一个物体,并要求你,"写出该物体所受的所有力",你要做的其实很简单
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You can never--there's a strong legal precedent for not being able to make a claim about stolen bass, because these basses are limited in number, they involve rather simple harmonic progressions, and they've been used over the centuries.
可是你绝对不可能起诉别人抄袭低音部，这个强有力的法律判例，因为低音部的选择很有限，他们由很简单的和声进程组成，几个世纪以来一直在反复使用。
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