For a shirt verminously busy Yon soldier tore from his throat, with oaths Godhead might shrink at, but not the lice.
衬衫上满是虫,士兵用诅咒撕开他的喉咙,上帝可能会退缩而不是虱子。
As you build these kinds of simulations, or anything like this, you need to think through whether things should be multiplicative or additive.
正如你建立各种仿真程序,或者类似的仿真程序时,你应该去想一想,他们应该是用加法还是用乘法。
And we can calculate that with the formula that we used, which was just n minus l minus 1 equals the number of nodes.
这个我们可以用我们以前用过的那个公式来计算,也就是节点数等于n减去l减去1
Basically what he did is he took a very thin metal foil and he bombarded it with charged particles.
简单的说他做的工作是,用一张非常薄的金属箔,然后用带电的粒子轰击它。
What string technique are the violins using at this particular moment and then what rhythmic device does the trumpet insert?
在这个特殊的瞬间,小提琴用到了什么演奏技术,之后小号又用了什么节奏方法
I'm not sure whether we'll use the Classes server to have you sign up for discussion sections online, or whether we will do it the old-fashioned way and have you sign up on forms that we'll give you here in class.
我还没想要是用校网站,让大家在线讨论,还是用传统的,课堂讨论。
The way we use technology to overcome that is we have a lot of simulations and visualizations set up, built around in the virtual spaces.
我们用技术来解决这个问题的方法,是我们用很多模拟实验,以及直观化实验,放在模拟空间里。
But it may be the case that it's something like a situation in which over the course of the previous stanza, Milton has actually usurped the role of the muse and has begun providing something like his own inspiration.
情况也可能是这样的,在之前的那一段里,弥尔顿确实用了缪斯这一角色,并且开始用他自己的一些灵感。
Then, when much blood had clogged their chariot-wheels, I would go up and wash them from sweet wells, Even with truths that lie too deep for taint.
因此当大量的血液凝固,阻塞了战车前进的轮之际,我就要起身,用甘甜清澈的井水刷洗猩红,甚至是用深深隐藏在污点后的事实。
It is--at least, it puts itself out there as a candidate to be an alternative term that one might use if one got tired of saying "irony" or "paradox."
如果“讽刺“,“悖论“一类的词,用的太多,可以用“朦胧“来替换“
So now let's actually put some of these ideas to use in a more familiar way.
现在让我们用这些想法来使用它,用一种更熟悉的方式。
You guys use computers, I used the typewriter when I started college, so I was burning more calories creating a paper than you guys have too.
你们用电脑,而我上大学时候用的是打字机,所以我写一篇论文,消耗的卡路里要比你们多
Are you going to use the wounds that you have or are you going to use the wounds that you have So that's why I believe grace is very important.
你是要用自己所受的伤害,还是很自然地用自己所遭受的伤害,因此我相信上帝的恩赐是非常重要的。
And what this is, is that if you want to take the section in French, you should have about an equivalent of 130, and the discussion's in French and a couple of the books-- I'll talk about them in a minute-- you can read in French, the others you read in English.
这个就是说,你要是想用法语授课,你的法语得有130分左右的水平,课堂讨论是用法语还有一些书,我马上要说到那些书 你可以看法语版的,其他人可以看英语版的
It says, with six primitives, I can rule the world. With six primitives, I can program anything.
它说,用六个基本类型,我可以规定整个世界,用六个数字,我可以编写任何程序。
And the reason is, and this will come up on the problems and a lot of students end up using this equation, which is why I want to head it off and mention it ahead of time, we can't use an equation because this equation is very specific for light.
原因是,很多同学在解题时,都会用这个方程,所以我要,事先提醒你们一下,我们不能用这个方程,因为它只对光是用。
In which I said, you know, I didn't like the fact that things like plus are overloaded, because you can use plus to add strings, you can use plus to add numbers, you can use plus to add floats.
那个玩笑是这样的,你们懂得,我并不喜欢,加法被重载这样的事情,但是你可以用加法,来对字符串进行合并,你可以用加法来加数字。
Take the fattest marking pen you have, scratch that out and replace it with atomic hydrogen.
用你最粗的笔把它划掉,再用氢原子代替它。
So I can do this really simply with a scale or just with my own arms.
这个比较很容易就能完成,我可以用天平,或者直接用我的手臂就行了。
And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.
我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点,然后用一条曲线对它进行拟合,然后用这条曲线来预测未来的点,最后却发现结果完全不对。
Not so easy to see. All right, but this is actually a great one of those educational moments. This is a great example to think recursively. If I wanted to think about this problem recursively- what do I mean by thinking recursively?
看不太出来,好,但实际上是一个有教育意义的时刻,这是一个很好的关于递归的例子,如果我用递归的思想,去考虑这个问题-,我该怎么用递归去解决这个问题呢?
Again as I said this is my version of it, but you can see, every one of the examples we've used so far has that pattern to it.
形成了迭代的思想,我还是想用我的话,来表达表达,但是你们可以看到,我们讲过的每个例子都用到了这个模式。
In one case you decided to order in terms of energy and in one case you decided to order in terms of how it fills up.
第一种情况中你们决定,用能量排序,另一种情况中你们决定用它,如何填充排序。
I've added the ability to have more complex data structures here. But I dropped a hint in the first lecture about what you could computer with things. In fact if you think for a second about that list, you could ask what can I compute with just that set of constructs?
我添加了使用更复杂的数据结构的能力,但是我在第一节课给大家了了一个,关于你可以用什么来做计算的暗示,实际上如果你思考,这个列表一会儿的话,你会问我可以用?
Infinity is the force when we're thinking about it and our brains, negative infinity is when we actually plug it into the equation here, and the reason is the convention that the negative sign is just telling us the direction that the force is coming together instead of pushing apart.
说力有多大时,我们想到的,是无穷大,而方程解出来的,是负无穷,这是因为习惯上,我们用负号表示力的方向,是相互吸引而不是相互排斥的,所以我们可以用库仑定律。
It's simply a convention established after the fact that allows us to organize material in ways that we can grapple with it ways that we can understand it.
这仅仅是在事后建立的一种惯例,好让我们组织材料,用容易整理的方式,用容易理解的方式
You can take a problem that might be relatively intuitive to solve but when you scale this thing up as is increasingly the case in the web, in large data systems, and so forth, you actually have to now think smart, you actually have to think efficiently and you have to solve this problem effectively.
你可以把一个问题用比较直观的方法解决,但如果你把此类问题的数量增大,正如越来越多的互联网,和大规模数据系统中出现的问题等等,你应该考虑怎样才能更简便,怎样才能更高效,你应该用行之有效的方法处理问题。
And in Strauss in attempting to do this will use the orchestra to depict here in this particular case perhaps the rise of human power, maybe as metaphorically represented by the sun, so here is Strauss depicting the rise of the sun.
施特劳斯试着用管弦乐,以特别的方式表现人类力量的崛起,用太阳隐喻人类的力量,所以在这里施特劳斯表现了,太阳的升起
So it's really neat to think that your counterparts 100 years ago right here at MIT could have been sitting in a class where they had Lewis as their lecturer, and he's putting forth these ideas -- these are actually his lecture notes, even though it wasn't even published yet, and giving this idea of Lewis structure, which is exactly what we keep using today in order to make a lot of these predictions.
因此会有很棒的感觉,当想一想一百年以前像你们一样,在这上学的同学可能正坐在教室里,听路易斯讲课,而他正在提出这些想法-,-而这些正是他的课堂讲义,尽管当时还没有发表,但已经给出了路易斯结构的思想,这正是我们直到今天都一直在用的,用它来做很多预测。
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