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All right, so one thing that I want to point out, which I said many, many times on Friday, and this is perhaps the last time I'll say it, but one last time is we can think about why we only see a line for the 2 p orbital, versus we don't see separate lines for a 2 p x, a 2 p y, and a 2 p z.
好的，我还要指出一个问题，这个问题我在上周五已经说了很多很多次了，这可能是我最后一次提到它，但是这最后一次让我们来考虑一下,为什么我们只看到了一条，对应于，2，p，轨道的线,而不是分别对应于，2，p，x，2，p，y，2，p，z，的线？
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The last one that we saw was a complete waste of time.
我们看的上一部这种电影完全是浪费时间。
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And then, if we have time at the end, we'll introduce one last topic, which is isoelectronic atoms and ions.
最后，如果有时间的话，我们将再介绍最后一个主题：,等电子原子与离子。
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We know, from the very first lesson of the class last time, that no one should choose these strategies.
从上堂课中,我们学到了,不要采用这类策略
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What America do we see? I'm going to look back to a passage I talked about in a different vein last time, on 26 and 27, just for one quick example.
看到什么了呢？，我们看到了什么样的美国？，我想回到,上一次讲另一个脉络时讲到的段落，在26到27页。
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So let me expand on that very slightly, and again we did this last time but I want to do one more time. I have to be careful about how I'm actually implementing a list.
我们之前做过了一次,但还是再做一次吧,我得小心的在列表中执行,例如在这个例子中。
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Okay. We have time for another simile, the last simile of Book One.
我们还有时间看另一个比喻，卷一的最后一个比喻。
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You know from our discussion last time that these two complimentary strands are not mirror images of one another, they're not identical, they're complimentary.
从我们上次的讨论中可以得知,这两段互补序列并非互为镜像,它们并非相同,而是互补的
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I've gone through a series of such arguments, and the one that we ended with last time was the suggestion that we need to believe in the existence of a soul in order to explain the fact that we've got free will.
我已经讲过一系列这样的论证,上次课结束时我提到的一个论证认为,我们只有相信灵魂存在,才能解释我们拥有自由意志这一事实
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What I did last time was to show you how to handle motion in more than one dimension.
上节课的内容,是用多维矢量描述运动
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So just one after another they made these insane departures from the corrective devices d put in the last time we had a big trouble and they really worked quite well.
因此，它们一个接一个地背离了,上一次金融危机时,采用的矫正手段，we’,并且这些手段是有帮助的。
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One of the other things we showed last time is that operators are overloaded.
我们上次讲过的一个话题,是运算符的重载。
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Easier picture than the one we constructed last time.
这比上一讲的图要简单
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And so we talked very briefly last time about this business of antigen presentation, how your immune system-- one of the things that it does especially well, is recognize what's part of you and what's not part of you.
上次我们简单的提到过,有关抗原呈递的一些知识,你的免疫系统如何,这也是免疫系统尤其擅长的一点,就是识别哪些部分属于你,哪些不属于
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So, one thing we said last time was when we put up a model and try and draw lessons from it, we should just take a step back and say, what's missing here?
在上一讲,当我们,从一个模型中总结结论的时候,我们应该回过头重新审视一下,看看我们是不是疏漏了什么
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Just to see that in a very simple example, again, we don't use such a complicated example as the one we looked at last time, you could imagine a game, a really trivial coordination game, which looked like this .
不妨再举一个例子,我们就不找上一讲那么复杂的案例了,看一下这个简单的协调博弈,如
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We talked about mitosis last time; it's described more completely in the chapter, where two cells are formed from one.
我们上节课说到过有丝分裂,在那一章里更详细的阐释了,细胞是怎么由一生二的
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So before we leave coordination games, I want to look at another one, a little bit more complicated one perhaps, that we mentioned briefly last time.
在我们结束讲解协调博弈前,我们再来看一个,稍微复杂点的问题,上一讲我简单提到过的
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One other remark before we leave this, in the game we played last time, in the investment game, one feature of that game was that the more you thought other people were going to invest, the more you wanted to invest.
在继续讲下面的内容前,我再多说几句,上一讲的投资博弈有一个特征,就是如果你越认为大家会投资,你就越想投资
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We finished Black Boy last time, and one of the big questions coming out of my discussion of that autobiography is: how do you manage the question of context in reading a novel or an autobiography--in reading any text?
我们上次讲完了《黑孩子》,在关于那部自传的讨论中随之而来,的一个重要问题是：,当你在读小说、自传或者其他文本时,怎么处理上下文？
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All of you, at the end last time, wrote down this number and handed them in so we had one number, one strategy choice for each person in the class.
上节课大家都交上来了一个数字,所以每个人都有对应的数字,这就是每个人都有一个策略
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The point is that in this game in which firms competed in prices, even though there were only two firms in the market, only one firm more than monopoly, we get a dramatically different result than we had last time.
重点是这个公司进行价格竞争的博弈,尽管博弈中只有两家公司,仅仅比垄断情况下多了一家,我们得到了与上次完全不同的结果
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One of the things we said last time was, with that set of things, the ability to give values-- sorry, to give names to values-- the ability to make decisions, the ability to loop as a function of that, the ability get things in and out, we said that that actually gave us a language we said was Turing-complete.
上次我们和以上内容一起说过，我们可以赋值--抱歉,为数值命名--可以做出判断决定-,并且据此进行循环,可以输入输出数据,我们说拥有这些功能的语言,是图灵完备的。
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