The philosopher-king, he tells us, may be an object of hope or wish but Plato realizes that this possibility is not really to be expected.
他告诉我们,哲学家国王也许是希望或愿望的目标,但柏拉图了解到,这种可能性不是真的值得期待。
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。
Why did it do that? That's not what I expected.
挺有趣的,噢,怎么回事儿?
Since this is a concave function, it's not just the expected value.
由于这是一条凹曲线,它不只是期待值
Yeah, I think it happens when your schedule does not work out the way you expected it to.
会的。有的时候你的生活并不能按照你所设想的计划进行。
And you know, they might not be exactly like what you expected them to be online.
而且,现实生活中的他们(她们)可能和你在网上见到的那个人不完全一致。
And this is what they had expected that there would be no relationship, but instead here they saw that there was a linear relationship not to the intensity and the kinetic energy of the electrons, but to the intensity and the number of electrons.
另外一个实验,他们预期这两者没有关系,但他们看到的不是,光强和电子动能的,线性关系,而是光强,和电子数的线性关系。
But nevertheless Aristotle understands that a person this pambasileia this person of superlative virtue is not really to be expected.
但亚里士多德明了一个人,这位,Pambasileia,这位具有,顶级美德的人是可遇不可求的。
So even if, on average, the stock is expected to not move at all from where it starts, some stocks will be expected to just trundle along without much change, not very volatile.
所以即使平均而言,股票应该是不会,和开盘的时候有什么区别,有一些股票可能会,没什么变化,不是很反复无常。
Of course, we will also be talking about behavioral finance in this course and we'll, at times, be saying that the utility function concept isn't always right-- the idea that people are actually maximizing expected utility might not be entirely accurate.
当然 我们还会,在这门课上讨论行为金融学,并且,我们会间或,讨论到效用函数不总是正确的,人们希望最大化期望效用的观点,也许并不是完全准确的
I don't find that my analysis is profound in the final answer, I just took some estimates using my data and, again, we could-- if someone wanted to argue with us they could argue with my estimates of the expected returns of the standard deviations and the covariances, but not with this theory.
我在计算过程中并没有做太深入的分析,我只是用我的数据做了一下大概的估计,我再说一次,我们可以-,如果有人想就这个问题与我们争辩,他们可以争论我对期望收益的估计,或是争论标准差和协方差的估计值,但并不会针对理论本身。
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