Good. To rule out the second slice, I need to be rational myself, and I need to know that others are rational.
要剔除46到67的数,不仅首先自己要是理性的,而且也要知道别人也是理性的
And it's pretty expensive to do so because I think they know you need to do it.
这样做很贵,因为我想他们知道你需要这么做。
Well now I need to be rational, I need to know that other people are rational, and I need to know that other people know that other people are rational.
我自己已经是理性的了,我也知道对手也是理性的,我还需要知道对手们明白,他们的对手也是理性的
And the third thing I need to decide is how do I combine? You know, point out to you in the binary search case, combination was trivial. The answer to the final search was just the answer all the way up.
第三个问题是我需要决定如何进行合并?,就你们所知的,在二分查找中所打印出来的,合并的过程是非常简单的,最后查询的结果,就是一路上来所以的结果。
And I just have to do this today on the Greco-Roman world, tell you everything you need to know about the Greco-Roman world, at least for this semester.
今天要讲的古希腊罗马时代,告诉你们所有需要了解的古希腊罗马知识,至少这学期需要了解的知识。
For me, that's all I really need. I like to walk around the streets with a camera and just find interesting images, you know.
对我来说,这都是很好的取景。我喜欢走在街上,随时抓拍有意思的事物。
And that's useful because clearly I don't need to know in advance what the answer is going to be, what that string is actually going to be.
那个是有用的,因为我不需要预先知道,那个答案将会变成什么,或者那个字符串将变成什么的时候。
And, I know I need to come up with four symmetric equi-length bonds, and let's just see, let's draw the structure here.
我想我们需要,4个对称的等长的键,让我们画出CH4的结构。
We will need to stay in the same room and I want to know you better.
我们需要待在同一个房间,所以我想更好地了解你。
So I think at least in our own case, it's not that I wish things were different, but I know we have to constantly balance and reinforce and build and sort of reinforce the behaviors we need in whatever business at that point in time.
所以我想至少对我们而言,并不是我希望事情能够有所不同就可以的,但是我知道必须不断的作出平衡,并加强,创立,再加强自身,在这个时期不论从事什么都必须这样做。
By "Present," We mean-- we will pick some part of the universe we want to study and we will ask, "What information do I need to know for that system at the initial time, like, right now, in order to be able to predict the future?"
我们所说的"现在",意思是,我们会选取客观世界某一部分来进行研究,然后我们就会问,我们需要什么信息去了解,初始时刻的系统,比如现在,进而能使我们能够预测未来呢
As I go down further, I'm going to need rationality, I need to know people are rational; I need to know that people know that people are rational, and I need to know that people know that people know that people are rational.
进一步推理就是,我是理性的,我知道别人是理性的,我知道别人知道大家是理性的,我知道别人知道大家知道,人们是理性的
If I know I'm going to need something over and over again, I squirrel it away somewhere and then get it back when I need it.
如果我知道我将要反复,使用一个东西时,我会把它贮藏起来以后用。
Computing square root. I'm going to capture it in a piece of code, I'm going to be able to refer to it by a name, and I'm going to suppress the details, meaning inside of that computation, you don't need to know what it does. You just need to know, if I give it the right kind of input, it'll give me back an input that satisfies the contract that I set up.
比如计算平方根,我会用一段代码来说明,我将给它命名,并且忽略细节,意思就是在这一段计算过程中,你不用知道它做了什么,你只需知道,如果我进行了正确的输入,它将会给我符合条件的输出。
So we've got the firms, they're the players, I know what their strategies are, I know a little bit about the structure of the market, and I still need to tell you what payoffs are.
我们有了公司,作为参与人,我知道它们的策略是什么,对市场的结构也有一些了解,我还需要告诉你们收益是什么
There's the base case. If it's longer than one, what do I want to do? Well I'd like to check the two end points to see are they the same character? And if they are, then oh, I just need to know is everything else in the middle a palindrome?
如果只有一个元素也是回文,这是基本事件,如果比一个长的话那么我应该怎么做?,我将会查看两头是否相同?,如果是的,我只要知道中间剩下的部分是不是回文即可?
You need to know what i prime is in terms of i and j.
你们要知道 i' 是如何用 i 和 j 表示的
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