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Yet at the same time, you probably thought "Oh, yeah, well, I did come out pretty much in the place I expected to come out in despite the roundabout way of having gotten there."
但同时，你可能会想“哦，也是，尽管比较曲折,但是我也比预想的收获了更多“
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So it's harder and... But I mean, exams themselves are not much harder than what I expected them to be.
所以这难一点……但是考试本身没有比我想象的难多少。
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So something has happened there that wasn't what I expected. Who wants to tell me what that bug is? Yeah?
我已经知道哪一句声明出问题了,一些和我预期不同的事情发生了,有人能告诉我bug在哪儿么？
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In other words, the same objective information which is " "I got eighth; I expected top three".
也就是说，同样的客观信息,“我是第八名，我目标前三。
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I've gone on longer than I expected.
我说的比预期中的要久一些。
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Finally, let's do it in green, let's look at the payoffs, the expected payoffs if I shoot to the right.
最后,用绿线来表示吧,我们来看看我从右路射门的预期收益
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In portraying the deity, I would think, if I were to write an epic poem - I would feel that I would be expected to stay within the fairly narrow parameters of religious decorum.
要表现神性，我认为，要是我要写一首史诗的话,-我肯定会觉得不能越出,宗教教义狭窄的界限。
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2% You could say, I think my portfolio has an expected return of 12%-- that would be better than if it had an expected return of 10%.
如果一个投资组合的预期收益率有-,那就比一个只有10%的投资组合要好。
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In fact, I don't quite know what he is saying" and struggled more than you're expected to because you anticipated what I've just been saying about the setting and about the role of Foucault and all the rest of it, and were possibly more confused than you might have expected to be.
事实上，我也不太清楚他在说什么“,然后你发现这比预想的更难理解,因为你预想了我给你们设置的背景,以及福柯和其他人的角色，然后可能会发现比自己预想的更困惑。
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What I expected. So what have I learned?
这跟我预期的正确答案一样？
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What I expected them to be.
这是我期望的结果。
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But you know I expected you to be different".
不过你跟我想象的不太一样“的话。
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Why did it do that? That's not what I expected.
挺有趣的，噢，怎么回事儿？
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And he looks at me and says, " "Well I don't know Tal. I expected you to be taller."
他看着我说，“我也说不上，Tal，我以为你会更高些“
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But you know Tal, I expected you to be different."
不过Tal，你跟我想象得不太一样“
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What about my expected payoff from choosing Middle against , so in this case where I think it's equally likely that my opponents going to choose Left or Right?
那我在情况下,选中的预期收益是什么呢,在此情况下我依然认为,对手选左选右的可能性相同
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I want to suggest to you that he did that because a woman is expected to occupy certain conventional roles at this moment, and we see her in one at the very beginning of the novel.
因为在这个时代,女人是被要求扮演,一定的传统角色的，我们在小说的一开始就看到了她。
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I'm going to drop more than the independence assumption, I'm going to assume that the assets don't have the same expected return and they don't have the same expected variance.
我还想做出一些改动，即这些资产的预期收益率,是各不相同的,方差也是不同的。
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They might say my sample period was off, ... but that's what the theory-- ... using my data for the sample period that I computed-- the expected returns and co-variances says one should do.
他们可能说我的采样周期是有问题的，不过我的结果都是靠理论-,我采用自己收集的数据计算出-,预期收益和协方差可以用来指导我们的投资行为。
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So what's my expected payoff from choosing Up where I believe the other person's going to choose Left and Right, equally likely? It's what?
那么在我对手选择左或右,可能性相同的情况下,我的预期收益会是什么样的呢
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On the vertical axis I'll put two vertical axes in, just for the sake of things on the vertical axis I'll put my expected payoffs.
坐标系的纵轴,由于种种原因,我花了两个纵轴,纵轴表示我的预期收益
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I know this might be changing the game a little bit, but if you ever expected to play the same game with the partner you have more.
我知道这可能会稍微改变点这个博弈,但是如果你认为以后你还会,和你的对手进行相同博弈
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What do I mean by expected payoff?
预期收益是什么意思呢
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So very similar idea, but the only thing is, I'm slightly abusing notation here by saying that my payoff depends on my strategy and a belief, but what I really mean is my expected payoff.
这和以前的概念差不多,唯一的不同,就是我这里稍微用了一些数学符号,来表述策略带来的收益与所持信念有关,这里的收益指的是预期收益
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The other thing that I mentioned last time was that there seems to be a really big difference between the expected return on the stock market and the expected return on short-term debt.
上节课提到的另一条内容是,股票市场的预期收益,与短期债券的预期收益,存在着巨大差异
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