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OK,so this is an extreme example.
VOA: special.2009.07.06
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OK, so what we have to do is get back underneath this reaction, and see what the molar quantities are.
我们应该做的是,再回到这个反应，看看摩尔量是多少。
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OK, this is only true for an ideal gas, and we went through that mathematically where the, with a chain rule.
这一关系只对理想气体成立，上节课我们,用链式法则推导出了这一关系。
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So, if you want to attack urban air quality, this is probably moving in the wrong direction, OK?
所以如果你想攻击都市的空气质量，这可能是一个错误的方向，对吗？
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OK. Now. This is just sort of bringing us back up to speed and adding a few more details in.
好，现在，我们刚刚回头,过去看了一些,细节问题。
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But before we get to that, in terms of thinking just think, OK, this is representing my particle, this is representing my electron that's what the wave function is.
但是在我们谈论那个部分之前，在理解方面，仅仅是理解，好的，它代表了粒子，它代表了电子,这就是波函数。
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This is very different from the disease model that says, " "Ok,you are unwell. Deal with that illness."
这和疾病模型所说的有很大不同，“好，你不舒服，那就治病去吧“
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That was for me at the moment when I really, ok this is the spiritual moment.
就是那一刻，我知道,这就是我感受到了灵性的一刻。
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OK, well.I'll try to explain this, This is a picture that was taken about 50 years ago.
好吧，我试着来解释一下，这张图片大概是50年前拍的。
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R/Cv OK, so that means that this is really instead of -1 R over Cv. it's really gamma minus one.
现在,变成了γ
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So, you need some reference points to be able to tell you, OK, this temperature is 550 degrees Smith, whatever.
你需要定要一些参考点,它们告诉你，“这个温度是550史密斯氏度“之类。
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OK. So this is again an example, this was quadratic, and this one was quadratic.
好的，这又是一个例子了，这是平方次的，这是平方的。
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Wow, OK, maybe not so wow, but this is now constant. This is constant time access. So I can do searching in constant time which is great.
喔，当然，可能没那么,但是现在是常数级了,这是常数时间的访问。
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OK, this is the Bohr model, Bohr model of the atom is planetary or nuclear.
好的，这就是波尔模型，波尔的原子模型是行星模型或者核心模型。
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So this is still adiabatic. It's insulated, but now it's constant volume, OK.
这仍然是绝热的，是隔热的，但现在它的体积是恒定的。
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So this is a good place to think about, OK, let me capture that.
因此这是很值得我们思考的，好，我们来抓住这个问题的本职。
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So if delta v is negative, in this case delta v is negative, OK, delta v is negative, pressure is a positive number, negative times negative is positive, work is greater than zero.
也就是当活塞,压缩气体的时候，做的功是正的，按照这一规定,我们需要在这里，加上一个负号，这是习惯规定。
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OK, for constant volume, this is zero.
对于恒定体积过程，第二项等于零。
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OK. The other thing I want to say here, is that this style of program we just wrote is actually a very common one. And we're going to give it a nice little name, often referred to as exhaustive enumeration.
好，另外一件我想说的事情是，刚才我们写的代码的风格,是非常普通的,我们会给这个风格一个名字，通常是被称为详尽的列举。
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OK, so this is looking pretty good.
这看起来很不错。
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The final and the fifth premise is an important one; is a philosophical one but one I want to introduce at the beginning of the course so that you understand where I am coming from, where this course is coming from-- because many people say, "Ok, so happiness is important.
最后也是第五个前提很重要;,是一个哲学前提,但我想在课程开始时介绍,你们好理解我讲课的起源，这门课程的来源-,因为很多人说，好的，快乐是重要的。
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OK. The thing I want you to take away from this, then, is to think of this as, this is, if you like, a recipe.
好了，我想让你们从这儿学到的是，思考一下这就像，如果你喜欢。
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OK, notice we have two inexact differentials and exact differentials. This is a condition.
好，注意到这里面有两个不准确微分量,和一个准确微分量，这是结论。
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And I have this, to write it out, this is order the length of the list squared, OK?
我得写下来,这是把列表的长度平方，对么？
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OK, what we'll see shortly is that this will allow us to see that for an isolated system the entropy never decreases.
好，我们过一会,会看到,这将导致孤立系统的熵,永远不会减小。
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OK, now this is a point we want to be careful.
这里我们要小心一点。
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OK. This is still boring, so let's step on the accelerator.
好吧，这还是很无聊吧？,让我们打开加速器。
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OK, the reason I'm saying this is, we have one class definition, is a cookie cutter, it's a template that's going to let us build versions of these things.
同一实例，好，我为什么要说这个的原因是，我们学习了类的定义了，这就像曲奇成型刀一样,它是个让我们建立不同版本的,这些东西的一个模板。
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So first of all, I've got to be careful about the end test. But the second thing is, OK, if it stops whenever this is less than two, am I convinced that this will always halt?
小心最后一次比较,其次，如果少于两个元素程序停止了,我们能确信这总是应该终止的么？,答案是肯定的，因为我在做什么？
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OK.And if I substitute it again, This is going by a little fast.
如果继续下去就是，这有点儿快。
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