Take your time. So, let's actually now take a 2-minute break, we're gonna change tapes and we'll come back and we'll actually write programs with a real computer and some real animated characters.
不急,现在休息2分钟,我们要换个录像带,一会再上课,等会开始写程序,构建一些动画人物。
Maybe you're talking with a friend about where you should go for spring break vacation,
假如你在跟一个朋友讨论你们该去哪里过春假。
If you go to Denmark and you break a $100 bill, you're going to be given one of these, undoubtedly, the 500 kroner note, which is worth about $75-80, and it has Niels Bohr on it.
如果你去了丹麦,换了100美元,毫无疑问,你会得到其中一个像这样的,500挪威币,约为75-80美元,上面有波尔的头像。
Another good thing to do when you're really stuck is walk away. Take a break. Come back and look at it with fresh eyes of your own.
当你卡住的时候另外一件有益的事,就是走开休息一会儿,再回来看代码的时候你的眼睛就清醒多了。
That's part of the struggle, undoubtedly, but another part of the struggle is simply to reach some means, to break through to some means of understanding the thing that you're talking about.
这就是斗争的一部分,另一部分是去寻找某种方法,能让人们通过这种方法,理解所谈论的事物。
At least I don't have those. But what I've done is to excerpt some of the texts earlier in the term-- and actually there's so that it's a little bit lighter after break, when we're doing those long novels.
至少我没有列出那些,但我已经做完的是,在放假前当然会有稍多的阅读量,假期过后我们再读那些长篇小说时就会轻松一点。
For example, in terms of the atomic theory of matter, at the time at the turn of the Century, the understanding was that atoms were the most basic constituent of matter, meaning you couldn't break atoms up into anything smaller - that was it, you're done.
例如在原子理论中,在19,20世纪之交的时候,人们认为原子是,组成物质的最基本粒子,也就是说你不能,把原子再分割了,就这样了。
Here is the five dollars, we're going to tear this into nine pieces, except I'd get arrested and deported if I did that, so we're going to find a way to break this into change later.
这是5美元,我要把它撕成9份,但我会为此被捕然后被驱逐出境的,所以待会儿我会想办法把它换成零钱
We're here for my son's vacation, spring break from school.
我儿子放假了,春假。
Is this possible? That's what the first law says it's possible; work is heat, and heat is work, and they're the same thing. You can break even 100% maybe. So let's go back and see what work is.
00%的效率,我们可以从大气中吸收热量,用来驱动我们的汽车,效率也应该能达到。
And the difficulty with that approach, even if we break the question, whether not there're souls, the difficulty at the approach was that it seems as though the soul could constantly be changing while the personality who might call stays the same.
这种前提的难点在于,即使我们将问题分解,先不管灵魂是否存在,难点还在于,似乎灵魂可以,不断地改变,而人格,这个重要的方面,却保持不变。
So in order to rotate a double bond, you have to actually break the pi bond, so essentially what you're doing is breaking the double bond.
为了能够旋转双键,你必须打破一个π键,本质上我们要做的就是打破双键。
OK. Today, for the rest of the lecture, we're going to take a break from the topic of algorithms, and computation, and things of the sort. And do something pretty pragmatic.
好,今天剩下的时间里,我们不再讲算法,计算和排序这些话题了,我们会做一些非常实用的事,我们主要的讲讲测试。
I have yet to show you the solution to a wave function for the hydrogen atom, so let me do that here, and then we'll build back up to probability densities, and it turns out that if we're talking about any wave function, we can actually break it up into two components, which are called the radial wave function and angular wave function.
我还没有给你们看过,氢原子波函数的解,让我现在给你们看一下,然后再来说,概率密度,实际上,对于任何一个波函数来说,我们可以把它,分解为两部分,分别叫做径向波函数,和角向波函数。
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