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But what we're trying to do now is identify the key influencers in those merchant areas and make them distribution points.
但我们现在努力要做的是,在商界确定,最重要的影响因素,让他们变为非配点。
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How to go from one reference point to the other with this property. This property, f which we're going to call f.
这两个参考点插值,得到不同温度时工作物质的特性，我们把这一特性记做。
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So, doing those probability density dot graphs, we can get an idea of the shape of those orbitals, we know that they're spherically symmetrical.
概率密度点图上,我们可以对这些轨道的形状，有个大概了解,我们知道它们是球，对称的,我们今天不讲。
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But now, because my elements are going to take different amounts of memory, I'm going to do the following thing.
因为我们的元素大小不等,我们要这么做，在第一个点。
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So with apologies for being a bit more boring for twenty minutes, let's do something we'll call formal stuff.
抱歉接下来的二十多钟分可能有点枯燥,我们来做点正经事
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And so ultimately one of the messages we'd like to send today is that if you are the type who's kind of on-the-fence don't think this is for you, worried about hurting your GPA or anything like that.
最终，我们想告诉你们的是,如果你是那种对分数不太在意的人,这种打分制就不是为你准备的，担心影响你的学分绩点之类的东西。
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Now, we're left at the point that we're so often left what's the point of all of this?
现在，让我们看到经常关注的这些点,这里是什么意思呢？
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We did that during the Great Depression, when it suddenly seemed like we really needed to do something.
是在大萧条时期开始实行的，因为当时我们突然发现,确实该做点什么了。
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Third, I'd like to answer these questions from sound points of view and tell you a little bit about what we are doing and how we are doing it.
第三，我想对这些问题,给出合理的答案,并讲点我们,要做的事及完成的方式。
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The earliest one is at 9:00, the latest one is at 4:00.And,again, we are trying to balance the occupancy there so that we have good access to the recitation instructor.
早点的是在9点，晚点的是在4点，还有，我们正试着平衡人数,这样我们就能很好地,与背诵课的老师沟通了。
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So, what we are going to study now is a non-living object and we're going to pick it to be a mathematical point.
我们现在所要研究的的,是一个没有生命的物体,我们要把它看作一个数学上的点
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Knowing what iambic pentameter is, is not a gift of birth, but rather something that comes through a little bit of practice, which means we have to work at it a little bit.
没有谁是生来就知道抑扬五音步格诗，是需要努力才能知道的，这说明我们必须在这个上面花点功夫。
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Is it universal wisdom? Romantic psychology? We shall never know, for the good reason that writing is the destruction of every voice, of every point of origin.
是否是普遍的哲学？还是浪漫的心理？我们都不得而知，因为写作就是对每个意见，每点原创的破坏。
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And,as Chateaubriand said,the writer, "I don't know what we must believe but we must believe in something," and he gets down on his knees and prays.
如作家夏多布里昂所言,"我不知道我们能相信什么,但我们必须相信点什么",然后他屈膝跪下开始祈祷
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And the idea is that when you do these Lewis dot structures, we're representing electrons with dots, which we'll see in a minute, and each dot is going to represent a valence electron.
而当你遇到这些路易斯点结构时，我们会将电子用点来表示，我们马上就会看到，每个点都代表了一个价电子。
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The lowest possible temperature in the Celsius scale is minus 273.15 degrees Celsius. So that begs the notion of re-referencing our reference point, of changing our reference points.
在摄氏温标中,绝对零度是-273。15摄氏度5,这样，我们需要重新定义参考点,将零度的参考点取在绝对零度处，而不是0摄氏度处。
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Well, we already saw no, 0 if my initial guess is zero, I don't get anywhere.
我们已经说了不是了，如果我的初始猜想点是。
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Deep equality, we get to define, that's what I did by writing same point.
我们需要自己定义，也就是我写比较是不是，同一个点的那个程序。
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Well one thing I might want to do is say, is this the same point or not?
我们可以想想可以，用这些点来做些什么了？
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And let's start by considering my payoffs on this picture, just to help myself a bit, let me put some points in here.
我们从在图上表示预期收益开始,稍微等我一下,我先标注出来几个点
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So if we just go a tiny distance in here, this is Bud Light and so on.
那么如果我们稍微走点距离,这是百威淡啤酒,以此类推
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We can start having complex expressions, you can imagine we can have things are lots of parens, and all sorts of things in it. Yes, question.
我们可以开始写复杂点的表达式了，你可以想象,我们有一个很多括号的表达式，里面有各种各样的东西，什么问题。
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And then I could do things like again, say, okay having done, that let me just run it here, run that, so I've now got polar point 1, and polar point 2.
然后给它们赋值半径和角度，然后我可以进行刚才的操作，也就是说，对刚才的笛卡尔坐标进行的操作，让我们来运行下它吧，运行下，现在我有一个极坐标点。
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And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.
我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点，然后用一条曲线对它进行拟合，然后用这条曲线来预测未来的点,最后却发现结果完全不对。
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The other thing that we looked at, which I want to stress again and I'll stress it as many times as I can fit it into lecture, because this is something that confuses students when they're trying to identify, for example, different nodes or areas of no probability.
另外一个我们要考虑的事情，我想再强调一次,而且我以后会在课上强调很多次，因为它很容易让人混淆,这就是当你们在确认，节点或者零概率点时候。
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It says, well I'm going to print out first and last just so you can see it, and then I say, gee 2 if last minus first is less than 2, that is, if there's no more than two elements left in the list, then I can just check those two elements and return the answer.
然后它计算了尾点和开始点的差,如果小于2的话,也就是说数组中的元素小于等于，我对这两个元素进行比较,然后返回结果就可以了，否则的话，我们就去寻找中值点，注意它是怎么实现的,首先这个指向一个列表的开头。
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If he's gone above the monopoly price we need to be a little bit more careful.
如果它高于垄断价格了,我们需要小心点
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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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So let's actually do something a little more interesting.
让我们来做点更有趣点的。
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So what we do is we pick an origin, call it zero, we put some markers there to measure distance, and we say this guy is sitting at 1,2,3,4,5.
我们现在选择一个原点,称其为零点,我们做一些标记来测量距离,这个点在五个单位长度的地方
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