These are poems, in other words, that come with little labels to tell you what they mean and what they're about.
这些都是,换句话说,是用小的标记来告诉你,他们是什么意思,他们是关于什么的。
to get gardening tips, see what they are growing.
去听听园艺的小提示,去看看它们种植什么。
But as he asks at the end, "... / when was that ever a bar / to any watch they keep?"
但他最后问的那句。,哪里什么时候有一个小酒馆/,用来让他们等待?
In contrast, if we're taking the wave function and describing it in terms of n, l, m sub l, and now also, the spin, what are we describing here?
相反,如果我们考虑一个波函数,然后用n,l,m小标l,还有自旋,我们描述的是什么?
Now, underlying the libertarian's case for the minimal state is a worry about coercion, but what's wrong with coercion?
在自由主义者的“小政府“概念中,隐含着对强迫的担忧,强迫有什么问题呢?
OK. Binary search is perhaps the simplest of the divide and conquer algorithms, and what does that mean? It says, in order to solve a problem, cut it down to a smaller problem and try and solve that one.
好了,二分搜索也许是,最简单的分治算法,这意味着什么?,也就是说,为了解决一个问题,把它切割成小的问题,然后再来一个个解决。
And the first question I think that you have on the quiz here is the following: what keyboard instrument is playing here?
这里有个小测验,第一个问题是,这段音乐是用什么键盘乐器演奏的
In these movies, there'd be a little angel above your head that tells you when things are wrong.
就像是电影里那些盘旋在头上的小天使,告诉你什么是不应该做的。
It would definitely be wrong if we were doing this because little sanity check if you just got the single one it means what instead?
如果我们这样做就是错误的,一个小检查,如果你用单个“=“,是什么意思?
What's the meaning of this little detail of Zooey's appearance?
左伊外表上的这个小细节是什么意思呢?
The boy would go say, we're offering to pay a discount rate of 2.51-- that was the formula and then anyone could do these calculations; they knew what it meant.
小男孩跑去说,我们愿意以2.51%的折扣率买入,公式就是那样用的,每个人都能算出价格,他们知道是什么意思
Another little pop quiz here, and these aren't trick questions necessarily, but if you had to guess what the bigger problem was in the developing world, so let's not just say outside the U.S.
我们再做一个小测试,这不是什么难题,你们猜猜,发展中国家面临最大的问题是什么,我们所说的不是美国以外的国家
they are first graders, but they are kind Harako and like to write to us. I'll show Harako here, Harako and her regular clothes, but I have this little angle that was sitting up here. The kids would say, "what is that, what is that?"
他们都是一年级学生,很友善,很愿意给我们写信,我给你们展示一下,这是Harako和她的日常服装,这还坐着一个小天使,孩子们回问:,“那是什么,那是什么?“
So, just give me a little bit of time to find out maybe by soliciting e-mail responses from you what would be a good time for my office hours.
所以,给我点时间考虑一下,或许我会用电子邮件发一个小问卷调查,然后我来决定什么时间最合适
You shouldn't be able to hear very much either, and it mustn't have been too delightful to breathe out of the thing, although your nose is free, but it's covered by a nose piece.
而且也听不见什么了,同时,戴着头盔呼吸也不是很顺畅,虽然鼻子并不受束缚,但是上面有一块小薄片覆盖着
What is a Little Magazine? Well, very often they were big They were little because their circulation was small.
那么小杂志是什么?,其实它们大多是比较大型的,之所以说它们“小“是因为发行量。
And what's this little loop say to do? This little loop says I'm going to write a function or procedures that takes in two messages.
这个小循环是做什么的,这个小的循环是,我要写一个函数或者过程来接受两条消息。
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。
The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件?,我要将问题分解到何时才使得问题,小到可以解决的基本问题?,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
And here's a little trick -- and again, we promised to point -- out little tricks of the trade -- if I know I want to execute the last command I typed that started with an m, bangm will actually figure out what that command was and redo it for me so I don't have to figure it out, or you can go back in time in a terminal window.
这里有个小技巧--此外,我们许诺指出行业中的,一些小技巧-,如果我知道我想执行我写入的上一个命令,是以m开头的,!m会明白那个命令是什么,然后为我恢复上次操作,所以我不需要明白它,或者你可以回到,那个终端窗口。
Let's check it out. I've written a little bit of a test script here, so if we test cell sort, and I've written this so that it's going to print out what the list is at the end of each round, OK.
我们来检查检查,我写了一个小测试脚本,我写这个脚本来测试单元排序,它能够打印出每一轮结束后,链表的是什么样子的。
OK, once it gets to the end of that, what's it going to do? It's going to come down here and, oh. What's that doing? Well I cheated when I started. I said, somebody's giving me a perfect square, I'm looking for the square root of it. But suppose 15 I gave this thing 15, and asked it to run.
好,一旦到了循环的最后,程序会去做什么?程序会跳到这里来,噢,这是干什么的?好吧,当我开始的时候我有点小作弊的意思,我说过,我得到了一个完美的平方数,我要求这个数的平方根,但是假设下我得到的数是。
I think the easiest way to look at what this does, is let's take a really simple example- I want to make sure I put the right things out- I've got a simple little list of values there.
到底做了什么,就是让它跑一个简单的例子,我想要确信我找到了正确的元素-,这里我用一个简单的小的列表-,如果我去代码里面看。
So to just preface what we're going to do next time, what would happen if I wanted to do sort, and rather than in sorting the entire list at once, I broke it into pieces, and sorted the pieces, and then just figured out a very efficient way to bring those two pieces and merge them back together again?
所以为了引导下一次,我们要讲的内容,如果我想做排序,而且不是一次吧整个列表排完,会发生什么,我把它拆成小的列表,然后把各个小列表排序,接着用高效的方法再把小的列表?
Because if anything worked, there would be a solution that would have some value over time and people wouldn't have to be seeking out the newest miracle, getting every little thing they see on TV and the like, and I'll show you some amusing examples of those in the next class.
如果真有用,那就找到了长期有效的解决方法,人们就不会再三地寻找方法了,只要看到电视上有什么小妙招就要尝试,下堂课我会举几个有趣的例子
That's why in the earlier models of the atom, they're not horrible to sometimes think about just each n value as a little ring around.
这就是为什么在早期原子模型中,人们没有感觉到把每一个,n,都想象成,一个绕核的小圆圈有什么不妥。
It's going to let j run over the length of the list all right, so it's going to start at some point to move down, and then it's going to let i run over range, that's just one smaller, and what's it doing there?
就在这里,会做什么呢?,我们让j遍历这个列表,好的,它要从某一定开始移动,然后让i也跑遍整个范围,就是比之要小一,会发生什么?
It says, right. If j is-- well it says until j is at the less than the length of l-- it says, if min value is bigger than the thing I'm looking at I'm going to do something, all right?
只要j比长度l小,如果MinVal比我要找到元素大,我就要做些什么了,我们来遍历?
OK. What does that say? I'm going to change MinIndex min index to also point there n value is 8, j starts off here, and I say, OK, is the thing I'm looking at here smaller than that? Yes.
好的,这意味着什么?,我打算交换,让它也指向那里,MinVal是8,j从这里开始,我要找的值比这个小么?是的。
So, let's begin with another of those scenes on 213 that Nabokov points out to us, the Kasbeam barber. Why did it take him a month to come up with the Kasbeam barber? What's going on in this tiny snippet that's so important? So here it is.
那么,我们从213页纳博科夫向我们指出的另一个,场景开始:理发师加斯比姆,为什么他花了一个月的时间,来创造理发师加斯比姆的形象呢?这个小片段里,发生了什么重要的事情呢?我们来看这里:
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