Now Isaac Newton and/or Joseph Raphson figured out how to do this kind of thing for all differentiable functions.
既然牛顿和拉复生已经,指数了如何解这种可导函数,因此我们就不用太担心了。
that your form of transportation is causing each day on your way to school or work.
不用担心你每天上学或上班的路上,你使用的交通工具会引起污染。
Alright, so it turns out there're two other useful types that you don't get for free out of the box.
我们还是回到这里,还有两种很有用的数据类型,这两种都不用担心内存不足。
We have the dialectic of suspense on the one hand, how will this be resolved, and inevitability on the other, "Oh, it's a folk tale, it'll be resolved, don't worry about it."
我们一方面有悬念的对立,就不可避免地会有,另一个方面,即这个会怎样解决,“哦,这是个传说,这会解决的,不用担心它“
So this is going to be review still again, and for those of you for whom it isn't review don't worry.
那么就当作是复习了,那些之前没有学过的同学也不用担心
So, I don't even have to worry because you're not writing this down, so I can just fix it when I post the notes and no one will ever know, except that this is not OpenCourseWare.
所以我甚至不用担心,因为你们不会把这个写下来,所以我可以在我给出讲义的时候再修改,而且不会有人知道,但除非这不是公开课。
You wouldn't think I would have, I don't have -- all right, be that way about it.
你不用担心我需要什么,我不需要什么--好了,先这么做。
Don't worry about discussion sections yet.
不用太过担心讨论课。
Wouldn't it be nice to be able to go someplace and just for a period think to yourself, "Well, you know, right now I don't have to worry about that.
要是能去那岂不是很好,你能有一段时间对自己说,“你知道,现在我不用担心死亡了。
What would you do if you had this power, the power of this magic ring, where you could commit any crime, indulge any vice, commit any outrage and be sure you could always get away with it?
你们如果也拥有这般神力,透过来自神奇戒指的魔力,将可以违犯任何罪行,放纵自己,干下任何不道德的行为或暴行,也不用担心,因为永远可以藉由神力遁逃?
So you don't have to go to work and worry about waking up early tomorrow.
所以你不用上班,也不用担心第二天一早得爬起来上班。
I'm going to post it in a format which will be black and white and easy to print out so you don't have to worry about this.
我会把它做成黑白板式上传,方便同学打印,所以完全不用担心笔记问题
It's a bit more ethical because you don't have to worry about all the pollution
这样做很符合社会公德,因为你不用担心会产生污染,
It's not too indirect so don't worry about that.
它也不会过于隐晦,所以不用担心这一点。
Now, I'm not introducing any genetic material at all so I don't have to worry about it replicating because there's no genetic material, all I do is deliver the particles.
这样就根本不用引入任何遗传物质,所以我也不需要担心它会复制,因为根本不存在任何遗传物质了,我所要做的只不过是接种部分微粒
Don't be worried. You can succeed.
不用担心,你能成功的。
And one of them will be filmed, too, so that if you can't actually make any of the times not to worry, that video will go online sometime Tuesday in plenty of time for Friday's pset deadline.
其中一门课程也会被拍成录像,所以你们万一没有时间也不用担心,那个视频在周二会放到网上去,直到周五过期,这其中还是有充裕的时间的。
And if it goes up 6 percent, well you'll go up 10 percent or more, and if it goes down, don't worry, I'm so smart your stocks won't go down.
如果股市涨了6个百分点,你可以转到10以上的百分点,如果股市跌了,你也不用担心,你选择的人会保证你买的股票不会跌。
As an undergrad, you don't have to worry about it, you're just worried about learning.
我们还要造一个新的探测器,这会不会太浪费时间?作为一个本科生,你就不用担心这个了,你可以在上面花时间。
If I don't, not to worry.
如果讲不完,也不用担心。
And we haven't talked about reactions at all yet, so you don't need to worry about the specifics of that exactly, but just that if you have this negative change in energy, you have a more stable product than you do reactant.
当然我们还没有开始讨论反应,所以你不用担心它的细节是怎么样的,你只需要知道,如果能量的变化是负值,那么你将得到一个比反应物更稳定的生成物。
Another way of saying it is, anything that uses get float doesn't care what the details are inside or shouldn't, and if I change that definition, I don't have to change anything elsewhere in my code, whereas if I just have the raw code in there, I have to go off and do it.
换种说法就是,任何用到获取,输入这个功能的人不用担心具体的实现细节,如果我改变了这里的实现,我并不需要去改变我的代码,因为我的最底处的源码就在这里,我去改这里就可以了。
But we're not going to worry.
但是我们不用担心
And I also want to point out, it's guaranteed pretty much you may or may not be able to see, sometimes it's hard to see that one that's getting near the UV end of our visible spectrum. So we won't worry if we can't see that.
我要指出的是,我可以保证你们,但你们可能会看不到,有时候很难看到,这个可见光谱边缘接近紫外光地方的这根谱线,所以看不到也不用担心。
So I'm not going to worry whether this item is a vase or a watch or painting I'm just going to say it's the n'th element.
所以我不用担心这个物品,是花瓶还是手表或者油画,我只要说这是第n个元素就好。
So this means we can code for it in DNA, you don't have to worry how am I going to get into the cell.
这意味着我们可以在DNA中编写它,你不用担心它怎么进到细胞里去。
This is discussed in detail in the textbook Don't panic if you don't get it quite now.
这在教材中已有详细的叙述,如果一下子理解不了也不用担心。
It means anybody using that little function get float doesn't have to worry about what's inside of it. So for example, I decide I want to change the message I print out, I don't have to change the function, I just pass in a different parameter.
这代表着用这个方法去获得浮点数,的任何人都不用担心具体的实现了,例如,如果我想改变下,显示的信息的话,我不必去改变方法,我传个不同的参数就可以了。
Pseudocode is kind of an English-like syntax that's just a useful way of expressing yourself fairly succinctly, fairly computer-like but without having to worry about stupid details like whether it's Java or C or whatever.
伪码是一种类似英语的语法,可以简洁地,表达自己的意思,它与电脑类似,但是你不用担心那些愚蠢的细节,比如Java,C语言或者其他什么语言。
All right, so you didn't grow up in the late 1800s like I did, you don't have to worry about this sort of stuff, right?
好,你们所处的年代不是我们,80年代那会儿了,你们不用担心,这类事情对不对?
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