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So, what we're saying is that we have n equals to 4, and m sub I being equal to negative 2.
我们说的是ｎ等于４,ｍｌ等于－２
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So I'm going to solve this by enumerate and check, which is an example of what's called a brute-force algorithm.
你懂的,所以我得靠列举和检验来解决这个问题,这就是我们说的穷举算法。
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The best way to say it and the quickest way to say it is that I don't speak language.
最合适的说法是,我们说的不是语言。
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But they constantly show up and they say, "We've brought our team of people, and we want to learn."
经常会有这些公司找到我们说，我们带来了自己的团队，想向你们学习“
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Let's say you have to go through three or four operations to get a final number, well, do it algebraically.
让我们说,你不得不通过3-4个操作,才能得到最终的数，好吧，用代数方法求解。
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We are talking about probability, but what we're saying is that most probable radius is further away from the nucleus.
我们说的是概率，也就是说它的最可能半径,离原子核更远。
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Because whenever we say,"Asia Minor," we're talking about that section around the Mediterranean that now is called Turkey. But it was called Asia Minor, generally,in the Roman Imperial Period.
因为当我们说到“小亚细亚“,指的便是地中海附近,现在那里叫土耳其，但在罗马帝国时代，它通常被称为小亚细亚。
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Have we at least found something interesting,necessary, unique to death when we say,Nobody can die my death for me.
我们是否至少找到一些有趣，必要，独特的东西，当我们说“没有人能代替我死亡。
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That's sort of what that's like, but the really important thing is what's the worst thing that can happen.
这和我们说的有点相像，但是真正重要的事情是,可能发生的最坏的事情是什么。
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we are going to return from exile in the 530s, o.k.?) So when we talk about the post-exilic period, we are talking about the period after the return.
我们将会回到530年左右的流放时期，好吧）,当我们说到流放后时期，我们就的是回归后的时期。
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We've been talking about single cell or some subset of cells and propagating them so that you get a larger population of cells.
我们说到了一个细胞,或者一组细胞进行繁殖以后,你就能得到数目可观的细胞
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All the goods of civilization, Hobbes tells us, stem from our ability to control pride.
霍布斯告诉我们说，文明之所以文明，源自于我们对追求荣誉之心的克制。
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We've talked--we spent a lot of time talking about that--the most popular music, virtually all of it--although after the fact people try to write it down.
我们说过，我们花了很长时间讨论过，大部分流行乐 ,可以说是所有流行乐，虽然事实上人们确实会想把它写下来。
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And so when we say something is exponential, we're talking about in terms of the number of bits required to represent it.
所以当我们说某些东西，是指数增长的我们指的,就是代表它的比特数。
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It was a classical model, right, so we could say the electron is exactly this far away from the nucleus.
这是个经典模型，对吧，我们说电子离,原子核就是这么远。
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We said, "Okay, what's the real potential of this business, and how are we going to draw that out?"
我们说，好，我们公司的,真正潜力是什么，我们又该如何充分发挥我们的潜力“
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How do I know that that's an absolute pass, though? Well, when we set the exams, we set the tests, I sit with my TA's and we say, all right, let's work out the point scheme on this question.
我怎么知道会是绝对的通过呢，我们制定考试，我们制定测试题，我和助教坐在一起，我们说，好吧，让我们一起来设定这道题的分值。
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We said each of the merge operations O was of order n. But n is different. Right?
注意这里发生了什么,我们说过每一次合并操作的复杂度都是？
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We have to ask, when we say invisible things can't be destroyed, what did we mean by invisible?
我们要问，当我们说无形的东西不可毁灭，我们所说的无形是什么意思？
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Usually we say it never goes down, we don't have it going down, cross that out.
一般我们说它永远不会走低,从曲线上来说,它不会下降
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But we can also think when we're talking about wave function squared, what we're really talking about is the probability density, right, the probability in some volume.
波函数平方,的时候，我们说的，是概率密度，对吧,是在某些体积内的概率，但我们有办法。
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And first we discussed the fact that well, in terms of a classical analogy, we don't really have one for wave function, we can't really think of a way to picture wave function thinking in classical terms.
首先我们说了，波函数没有一个，经典的类比，我们不能想象一个,经典的波函数的图像。
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But what we're saying is there's a node here, so that there's no probability of finding an electron between those two points.
但我们说在节点这里，这两点是,不可能发现电子的。
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We also talked about well, what is that when we say wave function, what does that actually mean?
我们还说了，当我们讨论波函数时，它到底有什么意义？
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Even if we were to say you know what, the mind is not much like harmony at all.
即使我们说，知道么，精神和和声一点也不一样。
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And when we're talking about the amplitude of the wave, we're talking about the deviation from that average level. So, if we define the average level as zero, you can have either a positive amplitude or a negative amplitude.
当我们讨论一个波的振幅时,我们说的是偏离平均位置的量,如果我们把平均位置,定义为零的话，那幅值不是,正的就是负的，有时候人们在。
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So, the wave function at all of these points in this plane is equal to zero, so therefore, also the wave function squared is going to be equal to zero.
因此这里的,波函数平方也等于零，如果我们说在这整个平面上,任何地方找到一个ｐ电子的概率都是零。
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Alright, now we say, can I take item 1. Yeah. I can.
好的，现在我们说我，能否装1号物品呢。
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The reason that we can talk about this is remember that we're talking about wave functions, we're talking about waves, so we can have constructive interference in which two different orbitals can constructively interfere, we can also have destructive interference.
我们可以这么说的原因是,记住我们说的是波函数，我们说的是波函数，所以我们可以得到相长干涉,这是两个不同轨道会相长干涉，我们也有相消干涉。
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