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But think about it, if you were investing your money with someone like that, what did you end up with?
但想一下,如果你去投资,收益和这个人一样,你最后能得到什么
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And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
当你们解相对论形式的,薛定谔方程，你们最后会得到两个,可能的自旋磁量子数的值。
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I'm averaging it over the entire set of valence electrons which gives me 1.91 MJ per mole.
我是在整个价电子的集合上作平均,最后得到1。91兆焦每摩尔。
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I think it depends on whether the list is odd or even in length. Actually, that's probably not true. With one, it'll probably always get it down there, but if I've made it just equal to two I might have lost.
是奇数还是偶数，事实上,这是不正确的，如果最后剩下一个,那可能得到了结果,如果剩下两个，可能错了,所以，首先我们要格外。
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Right? In other words I've got the stoichiometric coefficients in there and the values, and I'm subtracting the reactants from products -1652kJ/mol wind up with minus 1652 kilojoules per mole.
对吧？换句话说这里我用了化学,计量系数和生成热的值，从生成物中减去反应物,最后得到。
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Somebody else owned them, and discovered them, and demanded that they get paid, and ended up negotiating with the company, and we got a kicker.
其他人买了这些债券，发现了这个问题，然后要求偿付，到最后以和公司协商了事，然后我们得到了一个促销品。
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But I showed you in the end how we can use calculus to derive that.
我上节课最后教过你们,如何用微积分来得到那个结果
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So she got a certificate at the end thanking her for participating in the clinical trial, and also telling her to go get the real vaccine because she hadn't had it yet.
试验最后,她得到了一个证明其参与,这项临床试验的证书,并且被告之要去注射真的疫苗,因为她还没有被注射过
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Now, ask yourself this, especially if you're talking about Greeks, are they going to keep shelling out money for an oracle that gives them answers that turn out to be wrong? No.
现在想想这个,尤其说到古希腊人,为了得到神谕,他们会不停地破费,而这些神谕最后还是错的吗,当然不会
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And if I did this, and again, don't scribble too much in your notes but if we just make it clear what's going on here, I'm actually going to delete these strategies since they're never going to be played I end up with a little box again.
如果我再进行一次,别在笔记上乱画,我们只是想知道最后会怎样,因为这些策略不会被人采用,所以我剔除掉它们,最后我得到了一个更小的方格
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So, you can have a kind of system of symbols that's gemlike and pleasurable and that calls you to submit to it as it does here for Oedipa, but in the end there is something more that her search will produce, and that is the moment of compassion.
所以你能够有种珍贵和令人愉快的象征系统,它能让你向它屈服,就像对Oedipa一样，不过在最后她的寻找得到了更多的东西,这就是同情的瞬间，我想提出的是眼泪贯穿了正本书。
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So in oxygen again, this is just showing the valence electrons, so we end up having six valence electrons from each oxygen atom.
所以在氧里面，这里只展示价电子，我们最后每个氧得到6个价电子。
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Of course, if we saw no shielding at all what we would end up with 3 is a z effective of 3.
当然如果我们说没有任何屏蔽,我们最后得到的,有效电荷量是。
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So, we end up with a total of six electrons that are possible that have that 2 p orbital value.
所以我们最后,总共得到了6个电子,在所有可能的“2p“轨道值中。
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So for the bond order we want to take 1/2 of the total number of bonding electrons, so that's going to be 4 minus anti-bonding is 4, so we end up getting a bond order that's equal to 0.
键序等于1/2乘以,总的成键电子数，也就是4，减去反键电子数，也就是4。,所以最后得到键序为0。
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Now, you have to understand that when you buy a bond, if you buy it at issue, you get the first coupon in six months, the second coupon in one year, the third coupon in eighteen months, and the last coupon you get at the maturity date.
你们需要了解,如果在发行时就购入债券,六个月后会得到第一笔票息,一年后第二笔,18个月后第三笔,到期时得到最后一笔票息
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This is the pressure that you're applying against the piston, not the pressure of the gas.
最后等于Pext乘以体积,面积乘以距离得到体积。
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So if we write out every term individually, what we end up with is essentially just the probability density for the first atom, then the probability density for the second atom, and then we have this last term here, and this is what ends up being the interference term.
如果我们把每一项都写出来，最后得到的就是,第一个原子的概率密度，然后是第二个原子的概率密度，然后是这最后一项，这就是干涉项。
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Again, the name is very straightforward, it comes from 1 s and 2 p orbital, so it will be s p 2.
所以，如果我们杂化这三个轨道，我们最后会得到的是sp2杂化轨道，同样，这个名字是很直接的。
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And what happens to this last p orbital is nothing at all, we just get it back.
我们会得到三个杂化轨道，最后一个p轨道。
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This is only true for an ideal gas. Since it's true for an ideal gas, then we can go ahead and replace this with Cv, and then we have Cp=Cv+R Cp with Cv plus R, which is what we were after.
常犯的一个错误，这只对理想气体成立,因为对理想气体成立,所以我们可以继续，用Cv代替,这项，最后得到。
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That's equivalent to doing the integral, and so, what we end up getting is that the reversible work v2 pdv is equal to minus integral V1, V2, p dV.
这与刚才的积分过程效果相同，最后，我们得到的结论是可逆过程的功,是负的积分，从v1到。
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So, if we have two atomic orbitals coming together from two different atoms and they combine, what we end up forming is a molecular orbital.
如果我们有两个,不同原子的原子轨道,而且它们组合到一起，我们最后就能得到一个分子轨道。
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And you might every once in a while get this, at least as we've done it in this case, this large move out at the end.
一旦你得到了这个结果，至少像是我们在这个例子中得到的结果，最后有一个很大的唯一变化。
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We got them from combining again, 1 s orbital and the 3 p orbitals. If we hybridize these, what we end up seeing are these four hybrid orbitals.
我们把1s轨道，和3p轨道结合而得到它们，如果我们杂化它们，我们最后会看到4个杂化轨道。
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And it turns out that if we have a, for example, for s, a very large z effective or larger z effective than for 2 p, and we plug in a large value here in the numerator, that means we're going to end up with a very large negative number.
结果是如果我们有一个，举例来说对于s一个很大的有效电荷量或者,比2p大的有效电荷量，并且我们将一个较大的值代入计算器，那意味着我们最后会得到,一个非常大的负数。
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So we end up with 3 s p 2 hybrid orbitals, so we can think about what would happen here in terms of bonding, and if we think about how to get our bonds as far away as possible from each other, what we're going to have is the trigonal planer situation.
因为现在sp2轨道有1/3的s特征，2/3的p特征，而不是3/4。,我们最后得到3个sp2杂化轨道，我们可以想象,成键时会发生什么，如果我们考虑。
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sigma1s And what we end up for our molecular wave function is sigma 1 s.
最后我们得到了分子波函数。
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And what we end up forming is a molecular orbital, because as we bring these two atomic orbitals close together, the part between them, that wave function, constructively interferes such that in our molecular orbital, we actually have a lot of wave function in between the two nuclei.
最后我们得到了分子轨道，因为当我们把这两个原子轨道放在一起的时候，它们之间的部分，波函数，相干相加，所以在分子轨道里，我们在两个原子核之间有很多波函数。
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