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So you're going to be able to take a description of a problem and map it into something computational.
因此你们能拣出,一个问题的主要描述,并将其编成计算性的东西。
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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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So we're going to go through a thermodynamic cycle, and here's what I want to calculate when we do this.
那么我们要推导,一个热力学循环,这是这个过程中我要计算的东西。
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It could be information-oriented, it could be a dialogue, it could be some kind of tools, a request function or dictionary or computing request.
可以是信息导向的，也可以是对话，或者是一种工具，一种对功能的需求，比如对字典，计算的需求。
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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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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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One of the perhaps easiest ones to put your finger on is what if the computer is out of memory?
一个可能的情况是,计算机的内存不足？
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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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Each of these firms is trying to maximize profits, but how about the total profit in the industry?
每一家公司都尽力实现利润最大化,可整个行业总利润是怎样计算的呢
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And it was exciting and interesting, and this device that had all this computational power that any person could afford or start to afford, that was just really interesting to me.
这让人兴奋又很有意思，这个设备有很强的计算能力,而且每个人都买得起或者将会买得起，这对我来说真得很有意思。
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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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So let me write that down, it's how much memory do I need to complete a computation.
让我把它写下来,当我计算的时候。
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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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OK, and that leads now to an interesting question, which would be, "How do I build a mechanical process to capture that set of computations?"
好，现在出现了一个有趣的问题，就是“我怎么样才能建立计算机程序,去捕捉一系列的计算呢？
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And I don't have to worry about these relative dimensions because we know from Marsden's calculations that, on the length scale that I have shown here, these would be just tiny little dots.
我们不必考虑,它们的相对大小,因为从马斯登的计算中我们可以得知，就从我现在给你们演示的这种相对距离来说，这些电子将只是一些很微小的斑点。
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You can bring any calculator you want, we don't actually have restrictions for calculator types here, but what you can't do, is you can't program any relevant chemical or information about constants in there.
你可以带你想用的任何一种计算器，我们并不限制计算器的类型，但是有一点是不允许的，那就是你不能使用编程的功能来记录,相关的化学常数或其它信息。
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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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And just like we saw before for the case of entropy in an isolated system, now we have something we can calculate.
就像我们前面看到的,孤立系统的熵一样，现在我们有一些可以计算的东西。
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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 there're actually some really interesting computer science ideas underlying that we promised on Wednesday that computer science.
其实在我们周三,要上的课程中涉及很多有趣的,计算机科学的思想。
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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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The paradox then is how do you create such a fast computer with such slow stuff?
那么这里的悖论就是,你是如何用传输如此缓慢的材料,制造出反应如此迅速的计算机的
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As you know, income inequality is getting worse, low-income wages are not going up, so that component of housing has been declining in real terms.
众所周之,收入的不平等愈演愈烈,低收入者的工资不会上涨,因此以实际值计算的这部分成本是下降的
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One by Pauling. Actually, there are more than two.
一个是鲍林计算的。
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You don't actually do the math if you're normal.
如果你是个正常人你不会去计算的。
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My favorite way to measure the results is actually to compare what Yale achieved with what we would have had if we would have just experienced average returns over the past twenty years.
在衡量成绩时,我喜欢的做法是,将过去20年耶鲁模式下获得的资产,与市场平均收益率计算的资产,进行比较
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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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So it's certainly at least linear in the length of the list. For each starting point, what do I do?
它至少是线性的计算列表的长度,每次到了循环开始的点？
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The notion of recipes, the notion of computation, why you want to do this, what you're going to learn.
秘诀和计算的一些概念啊，以及我们为什么要学这些知识，和要学习的具体内容。
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But we think it's really important for the department to help everybody learn about computation, and that's what this course is about.
但是我们觉得让系里来帮助学生们,学习有关计算的知识是很重要的，这也是这门课所要传授给你们的内容。
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