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And in fact, it lies at the heart of a lot of useful computational techniques where we save results.
实际上，它也是很多保存结果的,计算技巧的核心。
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PROFESSOR: All right. Good. So we can fully believe what our calculations were now, which is a nice thing to do.
教授：好了，我们现在可以,完全相信我们的计算结果了，多么美妙的一件事。
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It turns out after you do all the math, H it turns out to be delta H equals zero.
要等你做完所有的计算之后，才能知道结果，结果证明Δ
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Literally, return the control from this function, and take the value of the next expression, and return that as the value of the whole computation.
正如字面意义上说的，从这个函数返回，然后取得下一个表达式的值,并把这个值作为整个计算的结果返回。
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That means--his calculations are very different than the ones I have because he has a much longer sample period.
那表明。。。他的计算结果与我的大相径庭,因为它数据的取样跨度比我的长多了。
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The mind reflects the workings of the brain just like computation reflects the working of a computer.
心理反映了大脑的活动,就像运算结果反映了计算机的运行一样
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You could use a calculator or any number of other tools but we'll get there.
我们可以用一个计算器或,其他的运算工具来计算那个结果。
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You can do that, but we like to get the answer the way this gentleman described it, because we like to get an answer more readily than by doing the mundane work.
你可以那样做,但是我们喜欢,用这位同学所说的方法来得到结果,因为我们喜欢更简洁地获得结果,而不是通过繁琐的计算
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As of then, I calculated the value of their oil in the North Sea and that's what I got-- it's worth about 3.5 billion Norwegian Kroner.
我计算了当时他们拥有的北海石油的价值,这是我的计算结果-,它价值35亿挪威克朗。
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That is the final aspect of the efficient portfolio calculations.
那是计算有效资产组合所得到的最终结果。
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Secondly, as we go to the more advanced part of the course, we'll take a result from this part of the blackboard, stick it into the second part and keep manipulating, so if I screwed up in the beginning and you guys keep quiet, we'll have to do the whole thing again.
其次,随着我们课程的深入,我们需要把黑板这边的计算结果,抄到黑板的那边,不停地这么做,如果我一开始就写错了,而你们又不出声,我们就得全部重新来过
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So if we look at what we've got here, we've got something rather peculiar, right? What's peculiar about what this computer is now printing for us?
那么如果我们看看，现在我们得到的，结果的话，结果相当奇怪,对不对？计算机现在显示的结果？
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We found an equity premium-- or actually Jeremy Siegel's book gave an equity premium of 4% a year.
我们发现了股权溢价的存在,根据杰里米·西格尔所计算得出的结果,股权溢价大约为每年4%
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It's using its set of rules to deduce the value and print them back out.
计算器用自己的规则,去计算出结果来并返回。
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For him, the optimal portfolio should be very heavily into stocks.
以他的计算结果，最佳投资组合应该是大量投资股票。
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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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That's the question we're going to try and address. If we can do this, this is good, because first of all, it removes any questions about what machine I'm running on, it's talking about fundamentally, how hard is this problem, and the second thing is, it is going to do it specifically in terms of the input. Which is one of the things that I was worried about.
这是一个我们接下来要去,尝试和解决的问题，如果我们能做到的话会很不错，因为首先，它解决了结果可能和我,运行的计算机有关系的问题，因为这从根本了告诉了，我们这个问题的复杂度，第二件事情,就是这种方法可以依据输入的大小来计算,而这正是我最担心的地方。
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Because in doing that, Python would then have a value that it could pass on into some other part of a computation, and if it wasn't what I wanted, I might be a long ways downstream in the computation before I actually hit some result that makes no sense.
因为如果这样做的话，Python会将,输入的值传递到下面的,一些运算中去，如果这个值的类型不是我想要的，我可能会在得到,一个毫无意义的结果之前,经历一个很长时间的,计算过程。
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