The children were chosen at random but the children who were described as showing-- as expected to show a jump in IQ, in fact, did show a jump in their IQ scores and this isn't magic.

这些孩子都是随机挑选的,那些被说成很聪明的孩子-,老师期望他们的智力会有大提高，结果他们的智力真的大大提高了,这并不是魔法。

耶鲁公开课 - 心理学导论课程节选

It shows the standard deviation of the return on the portfolio as a function of the expected return on the portfolio.

它是投资组合的收益标准差,关于预期收益率的函数图像。

耶鲁公开课 - 金融市场课程节选

As we expected, it's less than one, and of course if we build an engine, we want it to be as high as possible, as close to one as possible.

就像预先期待的一样，效率小于一，当然如果我们建造一台热机，我们希望效率越高越好，尽可能接近一。

麻省理工公开课 - 热力学与动力学课程节选

Does it give you the answer that you expected it to give? Often, in practical problems, you'll spend just as much time doing performance debugging. Why is it slow?

它返回了期待中的结果了么？通常,在实际的问题中你会花，同样多的时间在性能调试上,它为什么运行这么慢？

麻省理工公开课 - 计算机科学及编程导论课程节选

So this line represents the expected payoff of shooting to the middle as a function of the probability that the goal keeper dives to the right.

这条线表示从中路射门时罚球者的收益,是门将扑向右路概率的一个函数

耶鲁公开课 - 博弈论课程节选

It's the expected payoff to Player 1 if shooting to the left as it depends on the probability that the goal keeper dives to the right.

它表示参与人1,从左路射门的预期收益,与门将扑向右路的概率有关

耶鲁公开课 - 博弈论课程节选

And here's my green line representing my expected payoff as the shooter, from shooting to the right, as a function of the probability that the goalie dives to the right.

这条绿线表示作为一个罚球球员,我从右路射门的收益,是门将扑向右路概率的一个函数

耶鲁公开课 - 博弈论课程节选

I computed the returns on the stocks, bonds, and oil for every year from 1983 and I computed the average returns, which I take as the expected returns, I took the standard deviations, and I took the covariance.

我计算了从1983年以来每年的股票,债券和石油的收益，从而得出平均收益率，这些平均收益率作为预期收益率，然后算得标准差及协方差。

耶鲁公开课 - 金融市场课程节选

With the government expected return, we want to make that expected return as a fourth asset-- rf we could call it r4 but I'll call it rf-- it's a special asset.

根据政府的期望收益率，我们将其作为第四种资产-,可以称之为r4，我们写成-,这是个特殊的资产。

耶鲁公开课 - 金融市场课程节选

So here's the straight line, and this line is the expected payoff to Player I from choosing Down as it depends on the probability that the other person chooses Right, and then once again, we can write down the equation.

这就是第三条直线了,它表示参与人I选择下获得的收益,是另一个参与人,选右概率的一个函数,对于这一条直线,我们依然能够给出方程式

耶鲁公开课 - 博弈论课程节选

This is the payoff to Player I of choosing Middle against Right, and the line in between, this line here, is the expected payoff to Player I of choosing Middle as a function of the probability that other people choose Right.

这条表示对手选右时参与人选中的收益,两个端点中间的线段部分,表示参与人I选右的预期收益,它是对手选右概率的一个方程

耶鲁公开课 - 博弈论课程节选