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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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The formula tells us or absorbed based on the energy difference between the two levels that we're going between, that the electron is transitioning between.
这些公式告诉我们,或发出的光的，频率大小,是基于，电子转移的，两个能级，之间的能量差。
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are all functions of state and parameters that we can control like temperature and pressure.
公式里面的全部都是态函数,我们控制态函数的参数比如温度或者压强。
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But that formula forces us to return to the original Socratic question about the harmony of the soul and the city.
但那个公式迫使我们回到,原始的苏格拉底式问题,即有关灵魂与城市的和谐。
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It's one thing to plug in all the numbers and say, "I know Newton's laws and I know how they work."
我们平时只是把数字代进公式,然后说,"我懂牛顿定律,也知道怎么使用"
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We have formulas for these present values and these formulas are well known.
我们有几个公式,来计算现值,这些公式相当有名
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Does the fact that death follows life-- does that produce any interaction effects between the two, which need to be added into our formula-- ? added into the mix as well?
那生后即是死这个事实-,有没有在这两者间产生任何相互影响，也需要被增加到我们的公式中来-,要增加到混合中来？
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More fundamentally, I want to get back to what I think of as the main theme of 6.00, which is taking a problem and finding some way to formulate the problem so that we can use computing to help us get an answer.
花一些时间来讲,更重要的是我想，回到我认为的6。00的重点,即处理问题并公式化问题,从而使我们能够靠电脑得出答案。
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Let's go through this calculation for HF.
我们把H，F数据代入检验这个公式。
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So we can now take this expression and rewrite it under the condition of du is equal to zero.
我们利用这个公式,并在du=0的条件下将它重写。
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So we can use an equation to relate the incident energy and the kinetic energy to the ionization energy, or the energy that's required to eject an electron.
因此我们可以用一个公式将入射能量,与动能和电离能，就是发射出一个电子所需要的能量关联起来。
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And we can look at the formula that got us here.
我们可以看这个公式。
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This is so obvious in this problem, but when you see more complicated formula, you may not know all the assumptions that went into the derivation and quite often you will be using it when you shouldn't.
在这道题中这些都很明显,但是当我们用更复杂的公式时,你可能搞不清楚所有,在推导时的前提,因此很多时候,你都会用错公式
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And so we might need to work out various, more complicated, formulas here, where we multiply the pain times its duration and take into account its intensity, get the sheer quantity of pain that way.
我们需要编制出各种，更复杂的公式，以便增加痛苦的倍数，延续时间,还要考虑痛苦的强度，获得痛苦的纯量。
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The boy would go say, we're offering to pay a discount rate of 2.51-- that was the formula and then anyone could do these calculations; they knew what it meant.
小男孩跑去说,我们愿意以2.51%的折扣率买入,公式就是那样用的,每个人都能算出价格,他们知道是什么意思
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if you don't want to use that, you can also derive it as we did every time, it should intuitively make sense how we got there. But the exams are pretty short, so we don't want you doing that every time, so we'll save the 2 minutes and give you the equations directly, but it's still important to know how to use them.
吸收的和发射的，如果你不想用公式,你也可以每次都向我们这样推导它,很直观的就能得到结果，但考试时间很短，我们不希望你们每次都推导,所以我们会直告诉你，让你节省2分钟，但知道如何应用它十分重要。
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In the early days when there are four or five formulas, you could memorize all of them and you can try each one of them until something works, but after a couple of weeks you will have a hundred formulas and you cannot memorize all of them.
刚开始我们只会涉及到四,五个公式,你可以全部记下来,你可以一个一个试,直到解出答案,但过了几个星期,你就已经学了一百多个公式了,你没法全部记下来
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, r1, and r2 for those and I plugged it into that formula, which we just showed.
我计算了σ1，σ2，r1和r2，I，computed，the，σ1，，σ,代入我们刚刚展示的公式。
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So, when we think about any type of formal charges, we have to assign these based on a formula here, which is very easy to follow.
那么，不管我们要考虑什么样的形式电荷，我们都必须依靠这个公式，它很容易理解。
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You'll also see that they have all the physical constants that you're going to need, and also a bunch of the actual equations that we've been using in the first couple weeks here.
大家还可以看到这里有,你可能会用到的所有物理常数，还有一堆公式,是那些我们这几周来一直在用的。
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So we came up with two formulas, which are similar to the two that I'm showing here.
所以我们得到了两个公式，它们和我展示这两个,很类似。
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So what we need to do here is use the Rydberg formula, and actually you'll be given the Rydberg formulas in both forms, both or absorption and emission on the exams.
我们需要用到Rydberg公式，事实上，在考试时,我们会给你们Rydberg公式的两种形式。
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Now if you look at my derivation here, there's one spot where I could have just stopped and proven my point without going through the whole thing.
如果仔细检查我的推导过程，你会发现其实,我们不用研究整个循环过程,就可以证明我们要证的公式。
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So, essentially when we're talking about these equations up here, all we're doing is talking about the regular Rydberg formulas, but instead we could go back and re-derive the equation for any one electron atom, which would just mean that we put that z squared term in the front.
所以本质上,当我们讨论，这些问题时，我们说的是常规的，Rydberg公式，但对任何其他单电子原子，我们不用,从头再推到，而是仅仅把，z平方项放在前面。
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So, that is a tricky problem to begin with because if you take this formula here, it tells you y if you know t, but no, we're not saying that.
以这个问题刚开始的时候有点难度,因为如果你要用这个公式,求y的时候就一定要知道t,但是,我们不知道
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We also know how to figure out the energy of this orbital, and we know how to figure out the energy using this formula here, which was the binding energy, -Rh which is negative r h, we can plug it in because n equals 1, so over 1 squared, and the actual energy is here.
我们知道如何算出,这个轨道的能级，而且我们知道如何,用这个公式,算出能量，也即是结合能，等于，我们把n等于1代进来，所以除以1的平方，这就是能量。
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So let's do a sample calculation now using this Rydberg formula, and we'll switch back to emission, and the reason that we'll do that is because it would be nice to actually approve what we just saw here and calculate the frequency of one of our lines in the wavelength of one of the lines we saw.
让我们用Rydberg公式,做一个例题，我们回到发射上,这么做是因为这样,可以用我们看到的波长,来验证我们计算的频率。
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