And because, of course, we have this carbon here what you end up doing is adding a carbon to your molecule.
因为,当然,我们这里有一个碳,接下来需要做的就是在你的分子中再加上一个碳。
And, for this, I'd like to look at the very end of the novel.
就这点,我们一起来看一下小说的结尾。
If I go on doing this exercise again, and again, and again what am I going to end up with?
如果我不断重复这个过程呢,最后结果会是怎么样的
And you might have kind of been projecting ahead and thinking if we keep up at this pace, pretty much we would only get to carbon by the end of the semester.
你们可能会有这种推测:,如果我们以这个速度继续下去的话,这个学期,也只能讲到碳原子。
All right, then as I push through, I'm going to start with all of my gas on this side, and at the end I'm going to have all the gas on the other side.
好的,随着我的推动,刚开始这些气体全在这一边,到了最后,这些气体全在另一边。
So I'm first going to look for something that's not in the list, I'm going to see, is minus 1 in this list, so it's going to be at the far end, and if I do that in the basic case, bam.
如果我试试第一种最基本的方法,噢,一下就完成了对不对?,因为这种方法查了下第一个元素,然后发现目标数比较下,因为目标数小于第一个元素。
And so I'm going to leave you here at the end of this lecture less with a conclusion than with a paradox.
我准备就讲到这里,留给你们,一个文学上的悖论而非一个结论。
But I want to end this first real class with a bit of humility as to what psychologists know and don't know.
最后,作为第一堂教学课的结束,我还是想对心理学家们知道什么,不知道什么,保持一种谦虚的态度
At the end of the day this is all about equipping you with skills and knowledge and understanding with which to take a problem, take a large data set maybe and actually produce something useful-- produce a project that is of interest to you.
下午放学后,就用学到的技能,知识和理解力来,解决问题,或者处理超大数据集,或制造一些有用的东西-,例如发起一个你们感兴趣的项目。
Let's listen to the end of the polyphonic texture, then Beethoven, and we'll stop with this.
我们来听完这段复音织体,贝多芬,我们多说一点
And so, some of this is going to end up on Open Courseware.
我们的课程中的一些,会成为公开教学课程。
And as if this were not enough, near the very end of his life, he returned to his classical studies translating all of Homer's Iliad and Odyssey.
这好像还不够,在他晚年的时候,他又回到了对经典的研究,翻译了荷马的《伊利亚特》和《奥德赛》
And they end this paper with the following quote: "It may be that trying to be happier is as futile as trying to be taller " and is therefore counterproductive."
论文用以下这句话作结尾:,“想变得更快乐,和想变高一样徒劳,只会适得其反“
Again,just to remind you,in order to get the intuitions actually flowing, what I'm going to do once I've separated the body and the personality this way, is torture one of the end products.
为了让你们得到最直观的感知,一旦把肉体和人格截然分开,我们便要折磨其中一个最终产物。
And then at the end of this passage, he says, "So it's a mistake to think that the legislative power can do what it will and dispose of the estates of the subject arbitrarily " or take any part of them at pleasure."
然后在这一节的最后,他说道,“所以,以为任何国家的立法权,能为所欲为,任意处分人民产业或掠夺任何财产,这是错误的想法“
So, give me two more minutes, I'm going to end, and a few of you, faces, I've heard this before, people that I know; but, I guess one reason why I'm in history--well, because I read a book a long time ago.
所以,再给我两分钟,我就要结束了,你们有些人,面孔,这我见过,有的人我认识,但是,我觉得我之所以搞历史,因为我很久以前读过一本书
it's clear that you want to add a vector that looks like that, because then you go from the start of this to the finish of that, you end up at the same point and you get this invisible 0 vector.
显然应该给它加上这样一个矢量,因为从这个矢量的起点指向那个矢量的终点,最终指向的是同一个点,你就得到这个不可见的零矢量
We're going to try and help you learn how to think like a computer scientist, and we're going to begin talking about that towards the end of this lecture and of course throughout the rest of the lectures that carry on.
我们会试着帮你们学会,怎样像一个计算机科学家一样思考,这个内容,会在课程末尾提及,当然也会,贯穿中间的课时。
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