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In an orbital is remember that this area right here at r equals zerio, that is not a node.
例如对于１ｓ轨道,记住这里ｒ等于０处不是一个节点。
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R/Cv OK, so that means that this is really instead of -1 R over Cv. it's really gamma minus one.
现在,变成了γ
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I've been using the blackboard a little ad hoc here, but suppose I neaten things up here now and present this rectangle is let's say R RAM, the memory inside of your computer.
我在这里特别地使用这块黑板，假如我整理这些东西，把它们呈现,这个长方形，假如说就是内存，你电脑的内存。
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If you do it in monthly terms your interest rate is r/12 because there are twelve months in a year.
如果是每月还款那么月利率是r/12,因为一年有12个月
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R is going to be a fix number R times You don't know what it is right now.
等于一个常数 R 乘以,你现在还不知道它是多少
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So we can start. This distance here is r naught.
所以我们开始。这里的长度是r圈。
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It refers solely to trees, and Vallombrosa is the place "where th' Etrurian shades / high overarch't imbow'r."
这个比喻指的就是树木，地点是瓦隆布罗萨,“在瓦隆布罗萨，厄特鲁利亚的光辉逐渐暗淡“
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We will always have r equals zero in these radial probability distribution graphs, and we can think about why that is.
在这些径向概率分布图里,总有ｒ等于０处，我们可以考虑为什么会这样。
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We've got one vector which is R.
我们已有的一个矢量,位矢 R
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pV=RT dT here because the pressure is constant, dV=RdT/p so dV is equal to R over p dT.
因为对1摩尔气体有，于是。
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P dV is equal to R dT. pV = RT for 1 mole, pdV=RdT so I just take dV here.
对等压过程，那么。
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So if we want to talk about the volume of that, we just talk about the surface area, which is 4 pi r squared, and we multiply that by the thickness d r.
如果我们要讨论它的体积，我们要用的是表面面积，也就是４πｒ的平方，乘以厚度ｄｒ
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And orbiting around this is a lone electron out at some distance r.
有一个单电子,在环原子核的轨道上运行。
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So if we take this term, which is a volume term, and multiply it by probability over volume, what we're going to end up with is an actual probability of finding our electron at that distance, r, from the nucleus.
如果我们取这项，也就是体积项然后，乘以概率除以体积，我们能得到的就是真正在距离,原子核ｒ处找到电子的概率。
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dT This is equal to Cp minus R dT.
等于。
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The conflictedness that Milton is encapsulating here is probably most intense in the last lines of this wonderful stanza: / "With flow'r-inwov'n tresses torn / the Nymphs in twilight shade of tangled thickets mourn."
弥尔顿在这想要化解的冲突,可能在这一段中最激烈：,少女的头发被扯断/,黄昏时在杂乱的灌木丛中哀叹“
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We notice that the value of E at r naught is negative, as it should be. It's a negative number.
我们主要到在r圈时E的值为负，和它本来的值一致，是一个负数。
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Cv+R=Cp Cv is equal, oh Cv plus R is equal to Cp it's a relationship that we had up here that we wanted to prove.
我们就得到了,我们一开始,想要证明的。
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