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OK, now what we'd like to do is be able to calculate any of these quantities in terms of temperature, pressure, volume properties.
现在我们想要做的是能够利用,温度，压强和体积的性质,计算上面的物理量。
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But I'm sure you can easily see how these styrofoam balls could, in fact, be a mono layer of gold nuclei.
这个实验怎么工作的,我们先来做些计算，但我相信你们都已经。
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Third thing we want you to do, is to understand the fundamental both capabilities and limitations of computations, and the costs associated with them.
我们希望你们做的第三件事儿，就是了解,计算的基本能力，和局限以及他们的代价。
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And then, if you go the real sodium chloride crystal and you do this same calculation but in three-dimensions.
接下来，如果回到实际的氯化钠晶体中,你们做同样的计算,但是是在三维中。
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So you can do some crazy things because at the end of the day, the computer really doesn't care.
你们可以做一些疯狂的事情，因为最终，那个计算机并不关心。
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The ideal thing would be that the mutual fund does these calculations and it puts it all together for you.
最理想的事情是,共同基金会做一些这样的计算,再为你们把这些数据综合起来。
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All right, let me just go through one numerical example of a calorimetry calculation, OK.
好，让我们来做一个量热,法计算的例子，我不会把所有的。
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There's a whole lot of research and this is research, some of which takes place outside psychology departments and in engineering departments and computer science departments, trying to figure out how a computer can do the same things brains can do.
已经存在大量的研究,这其中有些并非是心理学研究人员所做,而是由工程学,以及计算机科学的研究人员所完成的,这些研究试图去探索,计算机究竟如何才能像大脑那样去运行
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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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And then we're going to try a demo to see if we can convince ourselves that the kind of calculations we make work out perfectly, and we'll do a test up here about half way through class.
然后我们将会尝试演示去看看,是否可以确信我们能够很好的,做出这个类型的计算，我们将在课程中做一个测试。
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Like how can you possibly figure that out with actually compelling a machine to do it for you and sure enough we chatted for a few moments, I kind of gently pointed out well it's kind of like problem 7 last year.
就好像去逼计算机为你做这件事,就能解决问题一样,我们确实谈过这个问题，我委婉地告诉他,这种情况与我们去年讲过问题7类似。
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And so we can actually think about how do we calculate what the dissociation energy should be for h 2, so let's go ahead and do this.
因此，我们其实可以想到应该如何计算,氢分子的离解能，那么我们开始做一下吧。
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In fact, it's interesting to note that the first calculation on the impact of CO2 on climate was done in the late 1800's by Arrhenius.
很有趣地,是阿列纽斯在19世纪末,第一个做了的关于二氧化碳,对气候的影响的计算。
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What I'm doing, by the way, here is I'm simply typing in expressions to that interpreter.
顺路说一下，我正在做的就是给计算器传入,一个表达式。
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And we can go through and calculate the value of this quantity in parenthesis. And, when we do so, we get the value 2.18 times 10 to the minus 18 joules.
我们能进行计算这些值,如果我们这样做，我们能算出是，2。18，乘以10，的负18焦耳。
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When you do these calculations, which I just did for insurance-- I was talking about insurance companies-- assuming that risks are independent, everything's independent and we've got it all figured out.
当你试图去,做保险相关计算时,我指的是保险公司...,假定风险是独立的,事件都是独立的,可以算出一个结果
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So what that means is the compiler is actually going to first "cast" so to speak 13 from whatever it is - to a float -- to a floating point value -- and then perform the division for us.
所以这里的意思是编译器将,做“计算“，譬如13这样一个浮点数,-到另一个浮点数-,然后为我们处理除法。
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But here I'm doing the exact same thing except my number here 13 0 in the bottom in the denominator is 13.0.
但是这里我在做一个同样的计算,除了在下面的分母是。
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So it turns out that he could have picked anything to explain this, and hopefully done out the calculation, and we'll do this ourselves.
结果是他可能用任何事情,来解释这个说法，有希望完成这个计算，而且我们将自己做这件事。
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So the enrollment numbers are in and we thought we would share some statistics, as we like to do in this course; being computer scientists, we tend to gather lots of data.
登记加入我们的人数在这里,并且我们觉得我们能分享一些统计资料，我们在这次课程中也喜欢这么做，作为计算机科学家，我们要收集很多数据。
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But let's see if a computer could also do it.
我们来看看，一台计算机是不是也会这么做。
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He goes back and redoes the calculation, only in this case he says what I am going to do is I am going to redo the calculation for helium, but I am going to consider not just the mass of the electron but the reduced mass of the system.
他回去重新做了计算，仅在这种情况下他才会说说我将要,为氦重做计算，但我认为,不只是电子的质量,还有系统质量的减少量。
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I've added the ability to have more complex data structures here. But I dropped a hint in the first lecture about what you could computer with things. In fact if you think for a second about that list, you could ask what can I compute with just that set of constructs?
我添加了使用更复杂的数据结构的能力,但是我在第一节课给大家了了一个,关于你可以用什么来做计算的暗示,实际上如果你思考,这个列表一会儿的话,你会问我可以用？
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And what you find out if you do these calculations, is that you have a negative 1 for your formal charge on nitrogen, you have a negative 2 for your formal charge on carbon, and you have a positive 2 for your formal charge on sulfur.
而如果你做了这些计算会发现，氮的形式电荷量为负一，碳的形式电荷量为负二，而硫的形式电荷量为正二。
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I've captured it as a computation.
我把它到做计算来用。
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What we want to do now is compute the mean and variance of the portfolio-- or the mean and standard deviation, since standard deviation is the square root of the variance-- for different combinations of the portfolios.
我们现在要做的是,计算这个投资组合的均值和方差-,或者均值和标准差，因为标准差的平方就等于方差-,这对任何投资组合都是一样的。
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For all students, what we want to do is we want to give you an understanding of the role computation can and cannot play in tackling technical problems.
对所有学生来讲，我们想做的就是,给你们关于计算在能否解决技术问题中,所扮演角色的,认识。
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One of the things we want to help you do is identify the different classes of algorithms, what their costs are, and how you can map problems into the most efficient class to do the computation.
我们想要教会你们的事情之一就是,学会辨别不同种类的算法，它们的代价是怎么样的，以及怎么样把问题映射到,最有效的算法种类中去做计算。
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z So in our first case, our first extreme case, would be that the z effective that is felt by electron number 1, is going to be plus 1.
被1号电子感知到的有效的，是+1所以,我们所能做的是计算出，我们从这个。
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And I'm not expecting you to do that calculation here, because it involves the calculator, among maybe a piece of paper as well.
我并不期望你们去做这个计算,因为它需要一个计算器，也许还需要一张纸。
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