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and I think that we should take a second look at them.
我也认为我们应该反思一下。
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I want to abstract that. And the abstraction you see, right here. I'm going to highlight it for a second so you can see it. I want you to look at it on the handout as well.
我需要进行抽象,这个抽象就在这儿,我把它强调给你们看看,我希望你也能看看讲义里的这部分内容。
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Good, this can't be an equilibrium because look what happens if Claire Elise stands a second.
很好,这不可能是个均衡因为,如果克莱尔·伊莉斯站起来会怎么样
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Well,you can just--an engineer will just sit there and isolate that second of sound and then give a "times three" command and "boom," well,look at Pavarotti hold out that note.
嗯，你可以想象，工程师会只坐在那里，分离出的第二个声音,然后给了三拍命令和砰“,好吧，看帕瓦罗蒂能拖出那个音。
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So I am willing to introduce these ideas but A, because it's not my training and people who are focusing on cultural differences will do a much better job than I do; and second, because what I hope to look into is the universal, things are common across cultures.
所以我想介绍这些观点，但是首先，因为这不是我的专业,研究文化差异的人会比我做得更好;,其次，因为我所希望研究的是普遍事物，不同文化中普遍的东西。
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ReadFloat We'll look at it in a second. Let me sort of set the stage up for this -- suppose I want to input -- I'm sorry I want you as a user to input a floating point number.
名字叫,我们来看一会，我先来设置下情景-,假设我想输入，抱歉,我希望你们作为用户来输入一个浮点数。
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Let's have a look at that second game. I'll read it out for you.
好了我们看看第二个游戏,我来读下
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So let's look at this code for a second.
那么让我们来看看这个代码吧。
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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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So let's take a look at it for second.
所以让我们来稍稍看一下这段代码。
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Well, let's look at it for a second.
好了，让我们再看看这段代码。
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Look around the room a second. Look around yourselves.
看看你们的周围,看看你们自己
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So I'm going to distinguish in fact between un-handled exceptions, which are the things that we saw there, and handled exceptions. I'm going to show you in a second how to handle them, but let's look at an example.
所以我打算区分开不可处理的异常,以及我们刚才看到的,可以处理的异常,我一会要给你们演示下如何处理他们,给你们看一个例子。
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Second thing they're going to do is let us suppress detail. And in essence what that does is, the functions, and we're going to look at a bunch of examples in a second, these functions are going to give us a way to, in some or in one way of thinking about it is to create new primitives.
第二件要做的事,是忽略细节,函数的本质到底是什么,我们将在接下来的几分钟，举一些例子，这些函数将给我们提供,一种创建原语的思考方式。
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Meaning, I'm just going to write a little loop that does that. All right, so let's go back to our code. That's right, let me pull this over a little bit, so I can see it. And what I'd like you to look at, I'm going to highlight it just for a second here, is those two pieces of code.
意思就是我只需,写一个小循环就可以了,让我们回到代码,让我们向下拉一点,我才看得见,我希望你看看这里。
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That one's not so obvious. So let's think about this for a second. To sort a list in linear time, would say, I have to look at each element in the list at most a constant number of times.
所以让我们来思考一会,要在线性时间能排序，列表里每个元素最多被使用常数次,不一定是一次，对吧。
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I take a look at the second derivative, which is the second order condition.
我需要求出二阶导数,即需要寻找二阶条件
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Now, just to repeat, again I know I've got some math phobics in the audience, let me just slow down a second, all I'm doing here is I'm saying look at this equation of the pink line, look at this equation of the blue line, X is when they cross, i.e., they are equal to each other.
我再重复一遍,我知道你们之中有些人数学不怎么好,我放慢一点说,我是这么解的,看这条粉线的方程,还有这条蓝线的方程,X是二者的交点,也就是说这点两个方程相等
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