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OK...Let's take a moment to look at India's international relations with some of the very important countries, say the United States.
好的，现在来谈谈,印度与一些地位重大的国家,之间的国际关系，比如说，美国。
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OK, let me comment this out, and let's look at this next little piece of code. All right.
好，让我添加一点注释，然后让我们看看,下面的一些代码，好。
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OK, now, we're going to look at the internal energy, and we're going to pretend that it is explicitly a function of temperature and volume.
好，我们接下来看看内能，我们假设,它是温度和体积的函数。
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Now for many of you,when you look at this you may say, "Well,Ok,yes,change is possible.
你们可能会说，“好吧，改变是有可能的。
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OK, now, this is a more formal look at that structure.
对，这是一个更规范的结构。
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Ah, OK, I misunderstood, so the question is rather look, radio waves are not like forms, to which the answer is yes, that's exactly the problem.
好的，我刚才理解错了，她是问,无线电波不像形式，这么说是对的，这正是问题所在。
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OK, in fact if we look at this, if I say, print of p, it prints it out in that form.
好，实际上如果，我们来看看这个，如果我输入，p的显示。
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And if I go look at the polar form of this, OK, good, looks right, right?
现在它有一个不同的坐标，以及跟原来相同的角度？
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OK. Now, that's a nice simple little test, let's look at a couple of other examples to get a sense of what this will do.
好，那么这是一个很好的小测试，让我们看看其他的一些例子,来明白这个主要用来做什么的。
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OK. If we do that, if you look at the handout then, I can now start implementing this.
好，我们开始做，你们可以看看课堂材料。
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OK. And I'm going to look to see, is a particular element inside of that list, and again, I'll remind you, that's just giving me the integers from zero up to 9999 something or other.
一个又大又长的列表吧，好的,我打算查找列表中的一个特定元素，我会告诉你，我用的是0到大概是,9999左右的整数。
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And yeah, I know it comes built in, that's OK, what we want to do is use it as an example to look at it.
对，我知道这个方法可以通过内置的算法，来实现，这没关系，我们只是,把它当做一个例子来讲解。
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U OK, so let's look at delta u. Delta u is q plus w.
好的，让我们看看Δ
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OK. Now, having said that, where should I pick to look in this list?
对不对？中值点？为什么呢？,你答对了但是为什么呢？
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If you look at x 2 this one right here in your handout. OK.
课堂材料的第二题2,这是关于做乘方的另外一种方法。
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OK. Having done that, then, there are three things that we're going to look at.
好了，做完了上一步，我们还有三件事情要研究。
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OK. So if I look at this code, first of all I'm calling search, it just has one call, so looks like search is constant, except I don't know what happens inside of b search. So I've got to look at b search.
首先调用一下搜索，就一步调用,看起来搜索是固定的，除非我不知道二分搜索的原理，那我们来看看二分搜索吧,所以让我们看看，第一行打印出来的内容。
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OK, if you look at that then, let's look at what happened when we ran this.
好的，如果再看一下那个，让我们看一下当我们执行这里时会发生什么。
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OK. So, let's look at an example.
好的，让我们看一个例子。
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But let's look at what we could do with this, OK?
我们能用它们来做什么吧，好不好？
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OK, so let's look at the cycle we'll go through.
好，让我们来研究这个循环。
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OK? And in fact, if you look at the code up here, and it's on your handout, the very first one, x 1, right here- if I could ask you to look at it-- is a piece of code to do it. And I'm less interested in the code than how we're going to analyze it, but let's look at it for a second.
实际上，如果你看看,你们课堂发的材料上面的代码，第一页上的，就是那-,大家请看看实现的这一部分代码,我不太关心,我们会怎么解释这个代码,首先让我们先看看。
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OK. Having said that, let's look at doing some sorts. And I'm going to start with a couple of dumb sorting mechanisms. Actually, that's the wrong way saying it, they're simply brain-damaged, they're not dumb, OK?
我们来做些排序吧,我要开始处理一些愚蠢的排序机制,事实上，我说的不正确，他们就是没脑子，不是笨,发明出来后，他们就在不停的被挑战？
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And let's take a look at it. OK?
在我们看代码之前？
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OK, so let's look at it.
好了，让我们来看一下这个程序。
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OK, and if I wanted to look at it, we can come back over here, and we can see what does c p 1 look like, interesting.
现在对于这里的每个实例，我都赋了x和y值，好，那么如果我想要研究下它,我们可以回到这里来。
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OK? You can take a quick look at it, a even with the wrong glasses on, it says if a 1 sorry, b is equal to 1, a I'm just going to return a.
你们可以快速的过一遍，它是这么写的：如果,对不起，是b等于，那么就直接返回。
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So I'm going to go over here, and I'm going to type test search-- I can type and if you look at your handout, it's just a sequence of tests that I'm going to do OK. So initially, I'm going to set up the list to be the first million integers.
大家可以看看你们的课堂材料，那儿有一些我要做的实验,好，一开始我先去建立个，含有一百万个integer的数组,对，这有点儿简单,但是这给我提供了这样一个有序的数组。
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OK.Let's look at the code-- actually, let's test this out first before we do it.
因此我已经添加了，就像Guttag教授做的那样-啊，应该这么说。
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OK. So what does Python look like?
好，那么Python和什么比较像呢？
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