-
We've used the fundamental equations that are hiding down here, out of sight but never out of mind.
我们利用了,写在这里的基本方程，虽然没有注意它但却时时刻刻记者它。
-
So you're saying that we are here right now but any second this other event, this other situation will occur.
你在谈论我们现在是这样的状态，但是一转眼的功夫，另一种事情，另一种情况就会发生。
-
But you notice up here how close these levels are, so we are looking at very, very fine distinctions.
你能看到这些层有多接近，所以我们是在观察非常非常细微的差别。
-
There are some exceptions, which we'll get to later, but the only a big exception here is with hydrogen, which has a special stability that's associated with two electrons.
但也有一些例外我们将以后再讲，但这里只有一个较大的例外，氢，它的稳定性比较特殊，只需要两个电子。
-
We know that there are some students here who don't have roommates but the majority of our first year students have roommates.
我知道，在这里的有些学生,还没有室友,但是大多数的大一新生,是有室友的。
-
But we also hope that there aren't any students here who are over-qualified for this course.
但是我们还希望没有学生具有,比这门课的要求还高的水平。
-
I'm not working alone here, but we have three teaching fellows who are affiliated with the course, two of which are here today.
我并不是一个人讲授这门课,有三位助教,与我并肩战斗,今天有两位在这里
-
On the lead diagonal we still and But now the grades here are have and I'm sorry--the payoffs are , and here they're .
对角线上的还是和,但是这两处的成绩是,抱歉,效用是和
-
But this a huge agenda, and so we are working enough hard here.
然而，这是项庞大的工程，因此我们正在竭尽全力。
-
They are different from the groves and streams we have down here, but they don't seem necessarily to differ, I submit, in their degree of physicality.
与地上的树林和溪流不同，但在物化的程度上，我得说，它们似乎没什么不同。
-
But we delivered the baked goods and said, "Hi, how are you? We're here now."
但我们还是把食物送了过去,说,"嗨,你好,我们刚搬来"
-
Here, we are not talking about a single number, but a displacement in the plane.
我们现在不是在讨论数字,而是平面上的位移
-
It's 109 . 5 is what we would expect for methane because it's tetravalent, but here we're just seeing something that's divalent, and they're both in p orbitals that are perpendicular to each other.
因为甲烷是四价的，我们预测是109。,但这里我们，看到的是二价的，它们都在。
-
Not only are we taking away an electron here, but we're also going to decrease shielding, so the electrons that are already in there are going to feel a higher z effective and will be pulling and the atom will be getting smaller.
这不只是因为我们拿走了一个电子，还因为我们这样做会减小屏蔽效应，这样留下的电子,将会感受到更大的有效核电量,也就会感受到更强的吸引力，使得原子变得更小。
-
But helping you understand things that really are a conceptual difficulty is what they're here for and what we're here for, so please come and talk to us.
不过他们在这儿,是为了帮助你们,了解概念非常复杂的问题，所以请过来请教他们。
-
But what we have here is an image of the beauty of that change, the beauty of the fact that the leaves are falling.
但是我们看到的是一幅美丽的变化的图像，叶子在飘落带来的美丽图画。
-
But you should see that there are four radial nodes here since we have a 5 s orbital.
但你们应该知道,这里有４个节点，因为它是５ｓ轨道。
-
We know we need to divide by 266, 266 but what we need you to help us with is to figure out this top number here and see how many particles are going to backscatter. So if the TAs can come up and quickly hand out 1 particle to everyone.
知道背散射的概率就可以了，我们知道要除以,但还需要你们来搞清楚,分子上的数是多少，有多少个发生背散射的粒子,助教们请过来,把这些球分给同学们。
-
So this is a little bit trickier to look at and see what it means, but essentially we have two hybrid orbitals, which are shown in blue here, and then we have one p orbital that's left alone that's going up and down on the page.
看这个图肯能会觉得比较诡异，但本质上，骂我们有两个杂化轨道，这里用蓝色表示，还有剩下一个p轨道,在图中上下方向上。
-
And that's just a way of reminding you that we want to think carefully, but what are the things we're trying to measure when we talk about complexity here? It's both the size of the thing and how often are we going to use it? And there are some trade offs, but I still haven't said how I'm going to get an n log n sorting algorithm, and that's what I want to do today.
这只是在提醒你们我们要仔细的思考问题,但是当我们在讨论复杂性的时候,我们到底要衡量哪些东西？,是列表的大小和对其进行查找的频率吗？,这里面临一些取舍,但是我还没有说明,怎样得到一个n，log，n复杂度的排序算法,并且这是我今天想要讲的内容。
应用推荐