I could have just done this, and the only reason I didn't here is just because now I look - at this, and now it's just getting confusing for me -- even for someone who's been programming for a while.
我本可以这样做,我之所以没有这样做是因为,现在我看着这个,它是我有点迷惑了-,甚至是对于某些已经写了一段时间程序的人来说。
So again, for both heat and work we don't get the same result. Now let's look at our special function, right. So here's path A.
所以,再一次说明,对于热量和功,我们得到的结果是不同的,现在让我们看看我们的特殊函数。
Now. You might look at that and say, well that's just a lot like what we had over here Right? We had some additive constant plus a simpler version of the same problem reduced in size by 1.
现在你可能会看着这个说,这很像我们以前做过的,对不对?我们用一些附加的常量,加上问题的另外一个规模缩小了1的,简化版本来代替这个问题本身。
Let's look now at a p orbital, so how many total nodes do we have here?
让我们来看看p轨道,它有多少个节点呢?
Now, you think you can make a mistake on your exam, take a look at this up here at tell me what that all is. I have no idea.
你觉得你可以在考试的时候犯错误,看一看这之前写的东西,能告诉我这些是什么,我也不知道。
Now if you look at my derivation here, there's one spot where I could have just stopped and proven my point without going through the whole thing.
如果仔细检查我的推导过程,你会发现其实,我们不用研究整个循环过程,就可以证明我们要证的公式。
So my challenge to you, and I know Professor Guttag can do this, my challenge to you is, a year from now, come back and look at code you wrote here.
因此我这里有个具有挑战性的任务,我知道Guttag也可能会说这个任务,我的这个任务就是,一年以后,回头来看,你之前写过的代码。
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