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So now I'm actually doing some math, but here's some nuances that we're going to start to trip over.
现在实际上我在做一些算术，但是我们,将会被一些细微的差别所阻塞。
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But yeah, most of the time I'm just working out with pull-ups and whatever else there is here.
不过大部分时候我就是做做引体向上还有这里的随便什么。
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I admit I'm cheating a little bit here because I'm ignoring beliefs, but trust me that's okay in this game.
我承认我偷懒了,因为我忽略了信念,但请大家相信在这个博弈里面是可以的
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But here I'm doing the exact same thing except my number here 13 0 in the bottom in the denominator is 13.0.
但是这里我在做一个同样的计算,除了在下面的分母是。
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All right,so on the body view,I exist here, but I'm not alive,so it doesn't give me what matters.
好了，在肉体理论角度，我存在于此，但我并不是活着的，这不是我想要的关键。
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But I'm talking here--this is the actually the frontier-- the best possible portfolio consisting of three assets.
但在这里我说的是-,边界表示了三种资产最好的组合。
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I'm not working alone here, but we have three teaching fellows who are affiliated with the course, two of which are here today.
我并不是一个人讲授这门课,有三位助教,与我并肩战斗,今天有两位在这里
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That wasn't the question here but great you're hearing that and I'm delighted.
这不是主要问题,不过很好,你听出来了,我很高兴
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I was going to start showing you some examples, but I think, rather than doing that, I'm going to stop here, I'm going to give you two minutes back of time, but I want to just point out to you that we are going to have fun next week, because I'm going to show you what in the world that has to do with efficiency.
我想再给你们讲解一些例子，但是我想想还是算了吧，给你们两分钟休息时间,但是我想告诉你们,我们下周的课,会很有意思,我会告诉你们,到底是什么决定了效率。
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Yeah, I mean, because I'm not living that locally to here, but depends what you like.
好的，因为我不住在这儿，但是这要取决于你喜欢什么。
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but I'm planning on proposing to her this summer! So! Hopefully she's not here!
但是我计划今年夏天向她求婚！希望她不在这里。
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I hope this class isn't changing your sleeping habits too much, but I'm delighted to have you here.
也希望这个课程没有过多地,改变你们的睡眠习惯,但是我很高兴你们能在这里
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But I'm going to present this as an example here because it illustrates so many of the Freudian themes, particularly themes about dreams, the importance of dreams, about repression and about hidden meaning.
但我之所以要举出这个例子,是因为它展示了大量精神分析理论的主题，特别是关于梦境，梦的重要性，梦的压抑及其隐含意义这样的主题。
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But what I'm going to show you here is the 1 s solution.
但我将要给你们展示的,是1s轨道的解。
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But at the same time I'm extremely proud that I got in here.
但与此同时能考进在这里我也感到很自豪。
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But I'm still looking to find one here.
不过我现在要在这儿找一份。
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printf So here I'm culling printf in a loop again and again, but I'm literally overwriting the previous thing that I wrote.
所以这里我一次次地在循环中使用，但是我逐行地覆盖了我之前所写的东西。
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On the lead diagonal we still and But now the grades here are have and I'm sorry--the payoffs are , and here they're .
对角线上的还是和,但是这两处的成绩是,抱歉,效用是和
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So numbers bigger than 67 seem pretty crazy choices, but crazy isn't the word I'm looking for here.
那些选大于67数的人看起来挺傻的了,但他们傻不傻不是我们要关心的问题
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And in fact, if you look down- and I'm just going to highlight this portion, I'm not going to run it- but if you look down here, that's exactly what that does.
实际上，如果你往下看-,我正要强调这一部分，我不会去运行它-,但是如果你看看这儿的话，这个方法确实就是这么做的。
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It's okay. So this first line of code, I will get it started but then I'm gonna have you take over and actually instruct Philip what to do here.
第一行代码就从这里开始，接下来我会让你,接管并指导飞利浦。
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.. I'm not going to talk a lot about-- Well, I'm going to move also to framing here, but let me at this point mention something about public finance.
在这里我不打算深入讨论-,好了，我要继续课程，讲一下框架，但是先让我提一下,关于公共财政。
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Vacca is the, I'm sure there's a Latin scholar in here that will correct my pronunciation, but vacca is the Latin word for cow.
acca是,我确定这里有一个拉丁学者的话,他会纠正我的拉丁发音,vacca是拉丁语中"牛"的意思
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I'm narrowing it down. It's getting a little silly but you know I'm going to really be persistent and just follow the rules here of binary search, rather than jumping to conclusions.
按照二分法的规则来做的,而不是直接得出某种结论,很明显这儿我的目的是什么？,显示这两个相同的东西。
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There's a whole bunch of blocks that we'll look at in more fun detail on Friday but I'm going to pick the easiest one here and I'm going to type Hello CS50 in this string, "Hello CS50", zooming in say how nice the puzzle pieces are nicely interlocked?
今天我们看到的各种图块,到下周五我会仔细讲解其中的精妙之处,但今天我只想举一个最简单的例子,我要在这儿键入字符串，放大窗口，然后看看这漂亮的图形和文字,是如何美妙地连结在一起的？
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Actually, from here I can see some of the people, but I'm not going to put.
实际上,有些人好像真是,我就不念出名字了
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But here's where I'm going to practice a little bit of defensive programming.
但是这儿我们要把编程的,防御性做的好一些。
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Now we're going to I'm going a bit slow here but I'm going to use this method next time to introduce you to the most important class, sorry, the most important game we're going to see in the whole course.
接下来我们,我放慢一点,在下一讲我还要用这个方法,我要向大家介绍最重要的课程,抱歉,是整个课程中最重要的博弈
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The end test-- and I've got the wrong glasses on but it's up here, where I'm looking to see, is last minus first less than or equal to 2?
最后一次比较，我看错了,在上面，last减去first是不是小于2呢？,好的，既然我得到了一个？
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But here, if I decide I'm going to store things not in x and y, but with some other set of names, for example, I've gotta go back into these pieces of code that use the points, and change them. So I've lost modularity.
除了要改下借口,但是这里，如果我决定，我不把值放在x和y中，而是和其他一些变量名进行绑定,例如这样的话,我就得回到使用这个点的代码，那儿去做更改了。
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