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Let's go back to considering the wavelengths of different objects. We considered a baseball, but let's also think about now an electron.
我们来重新考虑不同物体的波长,我们刚才考虑了棒球，现在来考虑一下电子。
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Let's try it with a different equation of state, that isn't quite as simple as the ideal gas case.
考虑一个不同的状态方程，这状态方程不像理想气体状态方程那么简单。
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I'm sure there's some upper limit as there are to most things, like if we think of wavelengths and different types of light, there is so large that you can get, but you would be approaching that level.
我确信对于大多数事物,都会有一个上限，就像我们考虑波长和不同的光时，那个太大了，但是你可以接近那个量级。
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The connotation, I have suggested, is of the variety of kinds that one might gingerly approach in thinking about complicating the texture of the story.
而深层的涵义，我认为，认真考虑的人,会有各种,不同的解读。
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The model doesn't take into account differences between the groups in voter turnout, based on the candidates.
这个模型没有考虑到,不同候选人所在党派的,名额数有差异
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Because sometimes the value of a combination is different then the value you would get by just thinking about each one of the parts in isolation and then adding them up.
因为有时一个组合的价值会不同,那么你得到的价值是只单独考虑每一部分,然后把它们相加所得。
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This is a problem when you consider that books in the days were not likely to be codices as they are today, but scrolls that took up quite a lot of space.
这里有点奇怪,因为考虑到那个时期的书本,和现在我们看到的抄本不同,是比较占地方的卷轴
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But, I've dropped that assumption and now I'm going on to assuming that they're taking account of their dependence on each other, taking account of their different expected returns, and taking account of their different covariances and variances; so that's what we've got.
不过我已经放弃了那个假定,我现在假定,我们需要考虑它们彼此间的相关性，它们有着不同期望收益，不同的协方差和方差;,这是我们所学到的。
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Well one way you could do it is by saying 'if I have this one base pair difference then this sequence is going to be cut by a specific restriction enzyme that recognizes the sequence CTGAGGA'.
一种方法是通过考虑,"如果我有这个不同的碱基对,那该序列必然会,被特定的限制酶识别并切割,这个特定的限制酶能识别,CTGAGGA "
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We talked about that quite in depth, but there are some differences now that we have more than one electron in the atom.
但是这里有一些不同的是，现在我们考虑的原子中,有多于一个,的电子。
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Just to illustrate the kind of issues that we're up against here, let me just consider a few different chemical reactions, all of which happen spontaneously.
为了说明我们的观点,考虑一些，不同的化学反应，这些化学反应都是自发进行的。
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And we also, when we solved or we looked at the solution to that Schrodinger equation, what we saw was that we actually needed three different quantum numbers to fully describe the wave function of a hydrogen atom or to fully describe an orbital.
此外，当我们解波函数,或者考虑薛定谔方程的结果时，我们看到的确３个不同的量子数,完全刻画了氢原子,的波函数或者说轨道。
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Okay, so there were different cases to think about.
好,来考虑下不同的情况
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And you can look at this in two different ways.
你可以从两个不同的角度,考虑这个问题。
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So when we talk about p orbitals, it's similar to talking about s orbitals, and the difference lies, and now we have a different value for l, so l equals 1 for a p orbital, and we know if we have l equal 1, we can have three different total orbitals that have sub-shell of l equalling 1.
当我们考虑ｐ轨道时，这和ｓ轨道的情形和相似，不同之处在于ｌ的值不一样，对于ｐ轨道，ｌ等于１,我们知道如果ｌ等于１,我们有３个,不同的轨道。
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Because sometimes it's useful to think about the payoffs, as coming from "i's" own choice and everyone else's choices.
因为有时候考虑在i和对手,在不同选择下的收益是很有必要的
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Well, let's consider a different feature.
我们考虑另一个不同的特征。
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