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b Let me just first write it down, the Van der Waals equation of state.
有两个参数，a和，如果a和b等于0的话。
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qB This must be heat q B, right. So again, but now let's also look at our special function.
这个不是，这应该是热量，对吧？所以又一次，这些是我们熟悉的。
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You can tell if you're at all experienced with it very easily, if you go--let's say to the year 900 B.C.
而如果你对此比较熟悉的话很容易看出来,如果你去--假定去公元前九百年
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All right. Let's consider now the second extreme case, or extreme case b, b for our helium atom.
好的让我们现在来考虑,一下第二种极端案例，或者极端案例。
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I'm going to let t of b be the number of steps it takes to solve the problem of size b.
我会设立一个t作为,计算指数为b的时候解决问题需要的步骤数。
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So we said B was somewhere between 0 and 1/4, let's draw the case for B equals 1/4.
我们之前也说过B在0到1/4之间,这里我们绘制B=1/4的情况吧
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B.F. Skinner never let his pigeons starve; they all made it out alright.
.F.斯金纳从不让他的鸽子挨饿,所以它们都活得挺好
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Let me go ahead and do the same thing with B.
让我们继续对B做点什么。
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This is his Symphony No.5 in B-flat so let's listen to this.
我们要听的来自他的降B大调第五交响曲。
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So let's just compare. Let's compare what C happened in path A to what happened in paths B and C. Yes?
我们比较一下沿,路径A和路径B和,所发生的事有什么不同，什么？
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Since in historical Greek times, let us say the fifth century B.C., the people who inhabited the Peloponnesus were mainly speakers of the Greek dialect called Doric.
从有历史记载的希腊时期开始,比如说公元前十五世纪,居住于伯罗奔尼撒的人们,是希腊多利安方言的主要使用者
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There is no writing in Greece from let us say 1100 or so on until the middle of the eighth century B.C., rough date 750 and then the writing that they do have is completely unrelated to the writing that was lost.
没有文字记载的时期是从,公元前一千一百年左右到,公元前八世纪中叶,差不多是公元前七百五十年,而之后他们拥有的文献,就完全与那些遗失的史料脱钩了
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Let's assume that B is equal to $2, so the spoils of government are $2 and entering costs you $1, so C is $1.
假设B等于2美元,当选的战利品2美元而参选成本是1美元,C是1美元
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He does tell you all about the legends first, but he puts them aside and says they're just legends--now let's talk history, and he doesn't begin that until the eight century B.C.
他先将神话传说展示给读者,然后将其放到一边,对读者说,这些只是神话而已,现在咱们说说历史,而他讲的历史是从公元前八世纪开始的
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Let's just first fill in this for the b 2 case.
让我们先填完这个B2的情况。
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Now let's compare to path B.
现在我们和路径B比较一下。
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The polis is not merely a city state in the same way as,let us say, the Mesopotamian city states of the third millennium B.C. Were.
那就是城邦不仅仅是一座城市,并不是像,我们说的公元前三千年的,美索不达米亚的城市
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t In the b even case, again I'm going to let t of b be the number of steps I want to go through.
如果b为偶数，那么我还是要用,来代表解决这个问题需要的步骤数。
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So let's look at b search. All right?
那么让我们来看看b，search，这个方法？
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Let's build this up. Let's see where this comes from, where these parameters a and b comes from. So, the first thing we're going to do is we're going to take our gas in our box, let's build a box full of gases here.
参数a和b有什么含义,首先，假设研究的气体,都在一个容器里,容器里充满了气体,这些是气体分子。
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This is their profit. And I won't tell you what B is for now, but let's just.. I mean I won't tell you exactly what it is, but I'll explain it.
这就是利润表达式,先不讨论B,我是说我们先不讨论B到底多大,我们照常计算
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So prices are determined as follows: prices depend on some parameters I'm just going to call a and b, and let me write the equation and then we'll see what it looks like.
价格由如下因素决定,价格取决于两个参数a和b,我们用方程写一下吧
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So what we're going to converge in on to, is the S1*, let's call it in this case, is equal to 1 plus B S2* and that S2* is equal to 1 plus B S1*.
交点的横坐标是S1,暂且这么叫吧,S1*=1+BS2*,而S2*=1+BS1
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And I can solve them, and if I solve them out, I'm going to get something like, let me just be careful, I'm going to get something like: 1 minus B S1* is equal to 1, or S1* equals S2* is equal to 1 over .
我们都会解这个方程,如果解完方程,我们会得到,我得仔细点别算错,我们会得到,1-BS1*=1,或S1*=S2*=1/
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