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The electronic configuration, all it is is the shorthand notation for that one electron approximation for the Schrodinger equation for lithium.
电子构型就是，对于锂的薛定谔方程,的单电子近似的,简化形式。
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Successive approximation, Newton-Raphson was one nice example, but there's a whole class of things that get closer and closer, reducing your errors as you go along.
逐渐逼近,牛顿迭代是一个很好的例子,随着你不断的时行下去,你会不断的离结果越来越近，逐渐地减少误差。
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While these gas molecules or atoms through first approximation, are like hard spheres.
可以看做刚性小球,每一个分子会占据。
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What we've learned so far is as a first approximation, what we want to do is put the atom with the lowest ionization energy in the middle here.
我们之前所学的可以作为第一近似，我们要做的是把电离能,最低的原子放在中间。
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So, university professors have teaching evaluations and you could use this as a rough and ready approximation of what students think of them.
大学教授要接受教学评估,你可以借此大致地概括出,学生对教授有什么看法。
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To actually apply this it helps to go to something called the normal approximation to the binomial, because it's kind of difficult to compute this formula.
在实际应用这些公式的时候,需要运用二项分布的正态近似定理,因为二项分布公式的值很难计算
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If it were just a little bit different I could say, all right, I have a different approximation. But when it's this different, something is wrong. Right?
但是如果仅仅有点差异的话,我可以认为没什么大问题,我得到了一个不太一样的估算，但这确实有差异，出问题了对不对？
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So, let's write this one electron orbital approximation for berylium, that sounds like a pretty complicated question, but hopefully we know that it's not at all, 1s22s2 it's just 1 s 2, and then 2 s 2.
所以让我们写出,铍的单电子轨道近似，那听起来像是一个更为复杂的问题，但是希望我们知道它一点都不是，它仅仅是。
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So, what we say here is we need to take a step back here and come up with an approximation that's going to allow us to think about using the Schrodinger equation when we're not just talking about hydrogen or one electron, but when we have these multi-electron atoms.
所有我们这里要说的是,我们需要退回一步,做一个近似,那样可以使我们用,薛定谔方程来考虑,让我们不是仅仅在讨论氢原子或者,一个电子的时候，而是多个电子的原子。
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I didn't use the normal approximation there-- that's obvious--I used the binomial itself.
我显然并没有用到正态分布,我用了二项分布
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It's always a good first approximation, because you need to start somewhere in terms of drawing Lewis structures, but then if you go and figure out the formal charge and you just have lots of charge separation or very high charges, like a plus 2 and a minus 2 and a minus 1 all different places in the atom, what it should tell you is maybe there's a better structure.
它总是一个好的第一近似，因为在画路易斯结构的时候,你总需要一个起点，但是如果你在算出形式电荷之后,发现有很多电荷分开了,或者说有很高的电荷，比如有一个正二，一个负二，还有一个负一1,在原子的各个地方，这应该就是在告诉你,或许还有一个更好的路易斯结构。
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So, we can say that a circle is a good approximation for a 1 s wave function.
所以我们说一个圆是,对1s波函数的好的近似。
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But instead in this chemistry course, I will just tell you the solutions to differential equations. And what we can do is we can start with some initial value of r, and here I write r being ten angstroms. That's a good approximation when we're talking about atoms because that's about the size of and atom.
但在这个课里，我会直接，告诉你们微分方程的解,我们可以给距离r一个初始值,我这里把r取10埃,当我们讨论原子时,这是一个很好的近似,因为原子的尺寸。
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