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The work that goes on at the Center for Educational Computing Innovations really falls into three Different intersecting areas.
教育主动性计算机研究中心,的研究工作主要可以归为,三个不同的领域。
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So we've seen one example of this, this idea of walking through all the integers looking for the square root.
现在计算机速度很快了，我可以把这个数字设的更大点,计算机会去很快的做这个事情。
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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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Whereas under these conditions, these quantities, if you look at free energy change, for example at constant temperature and pressure, H you can still calculate H.
但是，在这些条件下，这些物理量，如果我们考察自由能的变化,例如在恒定的温度和压强下，我们仍然可以计算。
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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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Then there's a formula that dictates how much Tier I capital and how much Tier II capital they have to hold.
还有一个公式可以计算出,他们必须持有,多少一级资本和多少二级资本
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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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And in principle, I could redo this calculation for every single possible probability you could think of.
并且理论上,对于每一个可能的概率对,我们都可以进行预期收益计算
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Once you've got that, you can do minus 7 times a vector Just take the vector, multiply it by Pi and flip it over.
明白这点之后,你就可以计算-7乘以矢量,只需用 π 去乘以那个矢量,然后将其方向调转
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The natural inclination here is to say, "These computer programs, these robots are feeling emotion."
这边人们可以自然而然地说,这些计算机程序,这些机器人能感受情感
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And we can calculate that with the formula that we used, which was just n minus l minus 1 equals the number of nodes.
这个我们可以用我们以前用过的那个公式来计算，也就是节点数等于ｎ减去ｌ减去１
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So really what we'll probably do is instead either give you the wavelength or the frequency and you'll go ahead and calculate the energy from there.
所以实际上我们可能的做法是,给你波长或者频率,然后你可以通过他们计算得到能量。
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This is a point that is often confusing, because you can think, well maybe I could calculate what the internal pressure is even for this very rapid process.
这一点可能让你们很困惑，因为你们可以想象这个过程，我也可以计算在这快速的变化中,内部压强是多大。
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It's 33, 32, it's only 32 times and you can check that math at home but here lies the power of algorithmic thinking, of computational thinking as they say.
你需要33，32，对，32次,你也可以在家里自己计算，但数学算法的力量是无穷的，这就是科学家们所谓的计算机思维。
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It's going to let us bury away the specifics of something, and treat that computation like a black box. And by black box, I mean, literally behaves like a mysterious little black box.
通过抽象我们可以将一些细节,掩埋起来并将这一段计算当成黑盒,说到黑盒我的意思就是,字面上的像一个神秘的小黑盒。
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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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The Born-Haber cycle was designed to allow us to calculate the energetics of, in particular,the ionic bond.
伯恩哈勃循环,可以让我们计算能量，特别是离子键的。
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Now remember, we went through before how it's a state function but to calculate it, you'd need to find a reversible path, along which you can figure this out.
请记住，我们不需要知道它是怎样的一个态函数,只计算就可以了，你需要找到一条可逆路径，沿着这条路径就能算得这个结果。
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You can touch almost any part of memory in the computer systems that you want with your program, but do you want to?
通过你的程序，你可以触及到计算机系统,内存的任意部分，但是那是你想要的吗？
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Our goal is to take problems and break them down into these computational steps, these sequence of instructions that'll allow us to capture that process.
我们的目标是得到问题,然后将问题分解为这些计算步骤，这些指令集,可以让我们看到这个过程。
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It uses the binomial distribution to calculate the probability of getting any specific number of accidents.
保险公司就可以用二项分布公式,来计算特定数目事故发生的概率
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And, in fact, these are the only two types of nodes that we're going to be describing, so we can actually calculate both the total number of notes and the number of each type of node we should expect to see in any type of orbital.
事实上，我们只,描述这两种节点，所以我们可以,计算任何轨道中的,总结点数以及各种节点数。
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The question is there a limit to the kind of calculator I don't care. You can bring a mainframe in on a truck.
问题是对计算器的种类有没有限制,我不在乎，你们可以用大卡车带个主机来。
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So we should be able to calculate a z effective for any atom that we want to talk about, as long as we know what that ionization energy is.
我们应该可以计算出任何一个,我们想要谈论的原子的有效电荷量，只要我们知道电离能是多少。
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I can check it, so if this was part of some other computation, I want to know, did it find a perfect square or not?
我可以检验它,因此如果这是其它计算的一部分我想知道，它能否找到一个完全平方根呢？
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And if you have your calculator all set up as you love and you don't want to change it, then maybe you should just go and get an $8.00 scientific calculator that doesn't have any of the graphing functions, because you don't actually need them, so that's a better option for you, you can do that as well.
如果你的计算器里已经按照你的喜好编好了,而你又不想改动，那么或许你可以,去再买一个八美元的科学计算器,它没有任何绘图功能，因为实际上你也用不到这些，所以这对你来说是一个更好的选择，你也可以这样做。
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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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Cv So this will give us something about C sub v.
从这里可以计算出。
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I want to talk about Kahneman and Tversky's Prospect Theory, which is a very important and a little technical-- psychologists can become mathematical and technical as well.
我会谈到,卡尼曼和特维斯基的前景理论,这是很重要的理论,同时需要一定的数学计算,心理学家也可以精于计算,和擅用技巧
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