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so I'm heating up the system in this path here, and then to connect the 2 endpoints here, a constant temperature path.
需要再用，一个等温过程，这两个状态。
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Like I don't know what's around the corner. I might not be here in a week
我不知道会发生什么，也许再过一个礼拜我就不在了，
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So for example I defined p, remember back over here, as a Cartesian point, but I can actually ask for its polar form.
我可以要求返回它的极坐标形式，这里对我是可访问的，好，这很棒，请再记另外一个为什么。
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And this is because as you start writing--saving files to your hard drive, what happens is you might save this file here, then this one, then this one, then this one, but very reasonably you might go back eventually and delete this one.
这是因为当你开始对硬盘驱动器进行读写时,你可以保存一个文件到磁盘的某处，然后再一个，再一个，又一个，最后你可能回到这,并删除这一个文件。
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If instead we had a positive ion, a cation, what we would have to do is subtract 1.
如果我们有一个带正电的离子，一个正离子，那我们就需要再减去一个。
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I need one more piece of notation and then we can get back to having some fun.
我需要再引入一个符号,之后我们再继续研究
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Okay.Let's listen to an example from the realm of pop music this time.
下面我们再找一个流行领域的示例。
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Another comparison for a meaningful drug screening essay, I would assume you would need 1 million cells that you could grow easily in a standard cell culture dish.
我们不妨再用一个,便于你理解的药物筛选试验来打个比方，假设正常情况下,一个标准细胞培养皿需要一百万个细胞。
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Okay, that's one example. Here's another.
好，这是第一个例子，再看另外一个。
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Let me give you one other example of an experience.
再举一个我亲身经历过的例子。
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Very important point that comes up is the following.
接下来要再提一个重点
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There's one more equation that I wanted to write down ... and I'm going to not-- I'm not going to spend a lot of time explaining this because it's going to take awhile.
这里我想再写一个等式,当然我不会-,我不会花太多的时间解释这个,因为要花太长时间。
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All right, let's do one more.
让我们再看一个
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Here are the axes again.
再画一个坐标系。
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You know, just the idea of taking clay figures and moving them bit by bit by bit by bit and then filming shot per shot.
就像拿着泥人，把它们一点一点地摆弄然后再一个镜头一个镜头地拍成电影。
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The idea was I will complete JD and then pursue a PhD in Islamic legal studies.
本来是想先把法学博士学位拿到,再拿一个伊斯兰法律研究的博士。
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And again, I think these days they tend to down date it by another century or so, so it might be around 1900 B.C.
其实在今天,我认为他们又能把时间再推进,一个世纪左右,即精确到公元前一千九百年左右
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Let's do one more. Let's do lithium.
我们再做一个，再来看锂的。
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I'll give you another example from a very different domain.
我给大家再举一个不同方面的例子
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Here is another example.
再举一个例子。
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So I just wanted to give another example a little closer to home in the poem of Yeats, the 1935 poem "Lapis Lazuli."
再举一个,更贴近我们的例子,1935年，Yeats在“Lapis，Lazuli“一诗中写道“
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And so he said, if you start off with a male and a female, at the end of one month they have an offspring. Let's assume they have two offspring. At the end of the next month let's assume those offspring have offspring. Again a male and female.
在13世纪的时候想要计算兔子的数量,就是一个月大的兔子,再过一个月就可以进行交配,所以它说如果你一开始有一公一母两只兔子,在一个月末它们就可以生小兔子,让我们假设它们生了两只小兔子。
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It's a good sign that this is logarithmic, and I'm going to come back in a second to why logs are a great thing.
为什么对数级复杂度是个好事情，让我们再来看一个算法,噢，抱歉是让我们再来看两个算法。
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You could say, I could have zero chickens and 20 pigs, does that work? I've got one chicken and nineteen pigs, does that work?
为什么简单列举出所有可能的情况,再一个来检验？你可能会说,我可以有0只鸡和20只猪，这能行吗？
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So they'd much rather just stay the way they are and not have another electron come on, and it turns out that halogens have the highest electron affinities.
所以它们更愿意保持在原来的状态,不愿意再增加一个电子,结果卤族元素具有最高的电子亲和能。
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Let me add, let me make it 17 people so we have an odd number, so go and sit in that row.
我再加一个人这样就是奇数17个人,请到那行中
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Today we'll do the first way, and then next time we'll do the second way.
证明这个式子，今天讲一个，下次再讲一个。
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If the physicalist is right, then here's another physical object for you... me, Shelly Kagan.
假如物理主义是对的,那么给你们再举一个物理对象的例子,我,雪莱·卡根
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Now I'm going to give you another little pop quiz here.
现在,我想再进行一个小测试
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One more defender of Locke. Go ahead.
再来一个为洛克辩护的，你来。
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