As I say, we're going to build everybody up here together.
就如我说的,我们是要一起学习,共同提高
What I like much more here is like the way people work together and talk.
这里我更喜欢的是人们一起工作和讲话的方式。
And if you got your stuff together here on life, you'll get to go to that when you die.
如果你打理好你在尘世中的一切,等你死了,你就能去到那儿了
And the last piece I want you to see here, and then I'll let you go is, notice now how that encapsulation, that binding things together has really helped me.
我想要的那么干净,最后一点要给大家讲的是,也就是下课前讲的一点,就是请注意这里是怎么封装的,也就是把东西绑定在一起。
- But there's one potential gotcha here -- and this is where you have to be kind -- of piecing together the little clues along the way -- what have I done that's interesting here that had I not, I would have had a mathematical error?
但是这里有一个可能性-,这就是你需要把,一些线索拼凑在一起-,我这里所做的是很有趣的,如果我不这样做,我可能已经犯了个数学错误?
The reason that there is increased electron density here is you can see that these two orbitals come together and constructively interfere.
你们可以看到两个轨道,靠在一起相长叠加,这就是为什么中间的电子态密度增加了。
And "home" is here made to rhyme with "Bapaume," bringing battlefront and home front together as a rhyme.
家乡“在这里是为了与“巴波姆“押韵“,将前线和后方放到一起成为一个押韵。
In another, the priests carry the Ark around the city 13 times, so scholars think there are two different accounts here woven together.
在另一个故事里,祭司拿着约柜绕城13次,因此一些学者认为是两个故事在这里交织在了一起。
OK, you use the ideal gas law, etc., then you get a relationship that connects the pressure and the temperature, like here we got a relationship that connected the temperatures and the volumes together.
我们会得到,一个联系初末态,的压强和温度的,关系式,就像这个联系过程中。
Okay. There's a little confusion here so let's try to do it together.
好的,有点迷糊了,我们一起来
Now, one of the points I made last week, for those of you who were here, is that one of the themes that ties European history together is the growth of the modern state, of state-making.
上节课来了的人可能记得,我谈到一个观点,现代国家的形成和民族国家的构建,是联系欧洲历史的一个主题
Because here he was for the first time in-- well, since my wife and I were together-- someone else is getting much more attention than I was, no matter how much I cried.
因为这是妻子和我在一起后-,第一次有人夹在中间-,另一个人比我获得更多的关注,不管我怎么哭。
They are linked together by four different colored segments indicated here not by colors now but by letters.
它们由四个不同颜色的片段连接,这里不是用颜色表示,是用字母表示
So putting that all together, I know that it must go through here again, and once again, i get a straight line.
把这些点连在一起,我知道它一定会经过这一点,这次我们又画出了一条直线
What I have here for us to look at together today are two little texts.
今天我们要一起读的是两个小文段。
And we put all that together and here is what it looks like.
我们把所有统一起来,这就是最后结果的表达形式。
We're seeing that the wave function's adding together and giving us more wave function in the center here.
我们看到波函数加在一起,使中间的波函数更多了。
Let's pull together what this algorithm actually does. If I generalize binary search, here's what I'm going to stake that this thing does.
总结下二分查找法,下面列举几点它的操作,首先,找中点。
So here we go. Everybody together, ready, sing.
开始,大家一起,准备,唱
So that's a good start for us putting together a skeletal structure for this compound here.
因此这对我们画这个化合物的,骨架结构来说是个好的开始。
And the last bond that we have here is a carbon-carbon bond, and this is our last p orbitals that are coming together.
最后一个键是碳碳键,这是最后一个组合的p轨道。
So now, this equation here relates three state functions together: the pressure the volume, and the temperature. Now, if you remember, we said that if you had a substance, if you knew the number of moles and two properties, you knew everything about the gas.
压强,体积和温度,大家应该还记得,我们提过,只要知道气体的摩尔数,和任意两个状态函数,就可以推导出其他的状态函数,这样,我们可以把它改写成。
But at least we anticipate that there will be somebody here on Tuesday who is glued together in that way, the right way, whatever that turns out to be.
但至少我们期待,下星期二要有人在这里,他要以正确的方式,粘合在一起。
So, I said, okay, I didn't want to assume so we clicked senior and frankly it was then a dead end because apparently to get some senior discount you need to have some special pass or something like this that we didn't have and yet that certainly wasn't obvious here so now we together and this person in particular had to figure out how you go back and then restart this process.
我说,好的,我不希望揣测,所以我点击了老人票,然后问题就来了,因为似乎,需要特殊的号码之类的东西来购买老年票,但是我们没有,明显我们不应该走这步,现在我们一起必须找出,怎样返回,然后重新开始这个步骤。
In fact, there's a rabbinic image, there's a rabbinic tradition that talks about this period of time, and has God and Moses talking, and God says: Listen, between the two of us, whenever I blow hot, you blow cold, or when I pour hot water, you pour cold, and when you pour hot, I'll pour cold, and together we'll muddle through, and get through here.
事实上,这里有一个与犹太律法相关的意象,犹太律法传统,描述了这段时间中,上帝和摩西又一次谈话,上帝说:“听着,在我们两个人中间,当我吹热风,你要吹冷风,当我泼热水,你要泼冷水,当你泼热水的时候,我们泼凉水,我们将一起应付各种情形。
You've got to show not only have you understood the ideas that have been put forward in the readings and in the lectures and so forth, but you see how to sort of put them together in the paper in a way that shows you've got some aptitude here.
不只是表现出你们理解了那些概念,那些阅读中的课堂上的及其他的内容,你们还得想办法在论文中把他们组合起来,要显得有点天分。
And the reason for this, and this is a very important point about the photoelectric effect, and the point here is that the electrons here are acting as particles, you can't just add those energies together.
这个现象的原因是,这是光电效应非常重要的一个论点,这个论点就是电子,在这里是粒子行为,你不能仅仅把这些能量加在一起。
Well our goal here was to answer that question for people and then hopefully facilitate friends getting together, shopping courses with each other, for each other, picking up syllabi and thus was born what we dub Harvard Courses.
我们的目的就是要解答这个问题,并希望可以使认识的朋友一起上课,选课的时候也有个商量,拿起教学大纲,从而诞生了这门哈佛课程。
So here we go. Everybody together.
好的,我们再来一次,大家一起
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