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I've decided that I need to be able, in my program, to swap the value of two variables. All right.
我觉定在我的程序中，我可以，交换两个变量值，好的。
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who I'm no longer living in the same area as or use it to kind of make plans with some friends.
联系那些和我不住在一个地方的朋友或用它和一些朋友们定定计划。
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So, we'll pick up with that, with some of the solutions and starting to talk about energies on Friday.
会去解薛定谔方程的某个方面，我们在周五,将从一些薛定谔方程的解开始。
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The point of anchoring is that you are subconsciously influenced by numbers and it affects your judgment; you think you know.
锚定效应的意义在于,人在潜意识里被数字影响,并且会影响决策,你以为你会知道答案
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Now, what did I want to do? I wanted to check membership. I want to do search. Well that's simple. Given that representation and some value, I just say gee is it there?
现在，我需要做什么？,我要做成员检查，我要做查找,这就很简单了，给了即定的表示和一些值,我只需要说喂在那儿吗？
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We saw the Schr?dinger equation for atomic hydrogen, but you can write it for more complex systems.
我们看过原子氢的薛定谔方程，但其实我们能把他用在更复杂的体系。
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If you were in the wrong place at the wrong time, you were history. That was all.
如果你在错误的时间出现在错误的地点,那你就将死定了
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At C okay, so the Nash Equilibrium here, the Nash Equilibrium is for both firms to set their prices equal to marginal cost.
价格定在C,好的,所以这里的纳什均衡,纳什均衡是两家公司都把它们的价格,设定在边际成本
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I'm actually working my plan even before I graduate.
我在毕业之前，就在定计划了。
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A cohort study means you take the same group of people and follow them every five years for that period of time.
定群研究意味着你只有一组研究对象,然后在研究期间每五年进行一次记录数据
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But Manifest Destiny was in some ways the fuel of the American imagination.
但是命运天定在某种程度上,丰富了美国人的想象力
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When is your wedding?
你的婚礼定在什么时候？
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So, what we say here is we need to take a step back here and come up with an approximation that's going to allow us to think about using the Schrodinger equation when we're not just talking about hydrogen or one electron, but when we have these multi-electron atoms.
所有我们这里要说的是,我们需要退回一步,做一个近似,那样可以使我们用,薛定谔方程来考虑,让我们不是仅仅在讨论氢原子或者,一个电子的时候，而是多个电子的原子。
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It's much more relevant to set our zero point energy as the separation of a bond in terms of talking about the reactions that we'll usually be dealing with here.
更好的是把零点能定在,键断裂的时刻,在讨论化学反应的时候,而我们以后将经常遇到化学反应。
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And the thing about what Schrodinger did was all he imposed on a system was the electron behaves as a wave and is bound.
薛定谔所做的,是建立在一个系统之上,电子是像波一样运动的并且是有界限的。
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I mentioned overconfidence last period; we then tend to have overconfidence in our anchored judgments.
上节课曾提到过度自信,人们在锚定效应影响下会过度自信
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In terms of the Schrodinger equation, we now can write it in terms of our polar coordinates here.
在薛定谔方程中，我们现在可以用,极坐标的方式来表示了。
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After that, we'll move on to matter as a wave, and then the Schrodinger equation, which is actually a wave equation that describes the behavior of particles by taking into account the fact that matter also has these wave-like properties.
之后，我们会转移到物质，是一种波的话题和薛定谔方程，薛定谔方程是描述粒子,在考虑物质的波动性质后,的行为的方程。
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And that's Kahneman and Tversky again and it's related to anchoring in some sense.
这也是卡尼曼和特维斯基的理论,在某种程度上和锚定效应也有联系
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So, we just want to appreciate that what we'll be using in this class is, in fact, the solutions to the Schrodinger equation, and just so you can be fully thankful for not having to necessarily solve these as we jump into the solutions and just knowing that they're out there and you'll get to solve it at some point, hopefully, in your careers.
所以，我们仅仅想要鉴别,将会在这门课中用到的，事实上就是薛定谔方程的解，而且你们可以非常欣慰,因为你们没有必要去,解这些方程而是直接用它们的解,并且知道这些解出自那里,希望你们在学习生涯中。
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You won't have to solve it in this class, you can wait till you get to 18.03 to start solving these types of differential equations, and hopefully, you'll all want the pleasure of actually solving the Schrodinger equation at some point. So, just keep taking chemistry, 18 03 you'll already have had 18.03 by that point and you'll have the opportunity to do that.
你们不用在课堂上就解它，你们可以等到得到18，03之后,再开始解这些类型的微分方程，希望你们都想得到,实际解薛定谔方程的乐趣,所以，保持来上化学课，你们在那个点将会得到,你们有机会做到的。
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And this is Erwin Schrodinger, and this is the equation that he put forth where we have hat psi being equal to e psi.
这就是埃尔文？薛定谔，在这个方程中,他提出,所以，让我们来解释一下。
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So you can see that we're starting to have a very complicated equation, and it turns out that it's mathematically impossible to even solve the exact Schrodinger equation as we move up to higher numbers of electrons.
所有你们可以看到我们得到了,一个非常复杂的方程，结果是它在数学上是,不可能解出确定的,薛定谔方程,当我们考虑更高的电子数目的时候。
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So I said before when we were talking about single atoms, we always define the zero energy as when an electron was actually ejected, but now, when we talk about chemical reactions taking place, it's very, very rare that we're actually going to be talking about anything that gets to this point here.
我之前说过，当我们讨论单个原子的时候，我们总是把零点能,定在电子被发射出去以后，但是现在，当我们讨论化学反应发生的时候，非常非常罕见出现，确实达到,这种程度的情况。
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At C.
价格定在C
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