And I'm sure you can imagine that if you want to label onw protein green and one red and one yellow, now you can start looking at really complex biological processes.
我相信你们可以想象如果你,需要把一个蛋白质标记成绿色,一个标记红色,一个标记黄色,这样你就可以研究非常复杂的生物学过程。
So if you answer the phone, you'll be saving me from a long conversation that will last ten hours.
如果你去接电话的话,我就可以免于一段又臭又长的谈话的痛苦了。
And the reason I want to show you this is to notice that the recursion can be doubled.
如果我来写斐波那契数列你可以看看这儿,原因是我想让你看看这部分的递归可以翻倍。
If I gave you the location of a particle as a function of time, you can find the velocity by taking derivatives.
如果我给出物体的位移是时间的函数,你可以通过求导来得到速度
So, let's -- okay, so, why don't you all think about would happen -- we'll start with the thought exercise. You can switch back to my lecture notes then if this isn't going.
好吧,那你们想想会,发生什么,我们来想想,这个问题,如果那个不行的话,你可以转到我的讲义上来了。
Well,I suppose it doesn't strike me as an implausible thing to say that if everybody in the troop got killed and you would have gotten killed had you been there, but instead,the person you hired to take your place gets killed, then he took your place.
我想可以这么说,如果大家都被杀死,而你若是在战场上也被杀了,但被杀的却是你花钱雇来的人,他就代替了你。
I want you to know if there is ever anything you want to say, you can be honest.
我想让你知道,如果你有任何事想跟我倾诉,你都可以诚实地跟我说。
And I think you could win, if you're going on the Hustings, let me add one element to the argument you might make.
我认为,如果你参选,应该可以赢,我给你补充一点,你也许能用上。
If you can do all that, I think the chances are that you're going to hit a lucky streak because luck comes and goes.
如果你可以做到这些,我认为你很可能要,运气连碰了,因为运气总是来来去去。
One of the things that we discussed was this type of imagery here where you have vertically these pillars, if you will, or we could even call--the more I sort of looked at this--sort of call them tree trunks almost.
我们讨论的问题之一是这里的这种意象,这些垂直的柱子,如果你愿意的话,我们可以称之为,我越看越觉得称之为树干比较好。
And I definitely think that all stress can be dealt with if you give yourself time.
而且我完全认为如果你给自己时间的话,是可以处理好所有的压力的。
To what extent could-- if I were to meet you when you were five years old I could describe the way you are now?
又在多大的程度上可能,如果在你五岁的时候我见过你,那我可以描述出现在的你吗
If you think best to take her at 700, I can still get her.
如果你认为最好花七百美金把她买下来,我依然可以得到她
He said, "If you need any help, I can help you out."
他说,“如果你需要帮助,我可以帮你“
If I told you that a DNA sequence went 5' to 3' you could draw the whole thing referring back to these notes, right?
如果我告诉你一个DNA链从5'到3',是AGTG,你就可以,画出它的整个结构
but I guess you can, you can use to get around if you really need to,
但是我猜如果你真的要出行,还是可以乘搭火车的
I mean, if you can set up a family in the city and support everyone,
我的意思是,如果你可以在这个城市安家、养家糊口,
I mean, if you want to have a good time, you definitely can.
我的意思是,如果你想玩得开心,你当然可以。
I can tell your fortune if you give me twenty dollars.
如果你给我20美金,我就可以透露你的命运。
So if you need the help of the notes it's in there but I would urge you to work through it on your own, and it's the following: let's start with the same path A, all right?
如果你需要帮助,可以去看讲义,但我还是希望你们自己去推导它,它是这样的,让我们从:,相同的路径A开始,好吗?
The advantage of introducing that guy is that if you like, I can now write an equation for the acceleration as a vector.
引入它的好处是,如果你愿意的话,我可以把加速度写成矢量形式
And I can obviously do the other direction which is I can say skip to index 2 and all the remaining pieces. This lets me slice out, if you like, the front part or back part or a middle part of the tuple as I go along.
很明显我可以从索引2开始切片,所有剩下的元素,这可以让我2,如果你喜欢我这么说的话,取得元素的前面的或者后面的,或者中间的部分。
Important lesson, so that there would be some predictability in the results and I would have some, if you will, smoke test for knowing whether or not I was getting, my code seemed to be working.
这很重要,因为这样我就可以预测,结果会是多少了,如果你愿意,我们可以做烟气试验,来看我的代码是否工作正常。
What Hicks said--this is the coffee hour conversation at The London School of Economics he said, it's right now 1925 but if you want to invest or borrow in 1926 I can do it for you.
希克斯在伦敦政经学院的那次,咖啡时间中谈到,现在是1925年,但如果你想在1926年投资或贷款,我可以帮你实现
Halls, they try to design halls such that that doesn't happen, and I show an example of a concert hall here -- this is Symphony Hall in Boston, and I can pretty much guarantee you if you do go to this Symphony Hall, you will not experience a bad seat or a dead seat.
大厅,他们建大厅的时候,尽量要避免这种事,我这里给你们展示一个,音乐厅的例子-这是波士顿,的交响乐厅,我可以向,你们保证如果你去那里的话。
It is true that if you give me the time, I can tell you the velocity.
如果你给我一个时间,我就可以明确告诉你速度
So, if you feel there's not enough math used, I guarantee you that I certainly know enough eventually to snow the whole class, but that's not the point.
如果你觉得我用的数学太少,我可以保证,我知道的数学知识,足以难倒在座的所有人,但这不是重点
When I give you multiple of i and another multiple of i, there's some has got as its coefficient the sum of the two coefficients.
如果我给你两个不同 i 矢量的倍数,就可以得到某个矢量,且它的系数是这两个系数的和
If I can tell a story in which A exists and B doesn't exist, it's got to follow that A and B are not the same thing.
如果我跟你说A存在但B不存在,就可以得出结论A和B不是一个东西
If you want to add two vectors, you can add the arrows by the rule I gave you or just add the components of x of the two guys to get the component of the sum and likewise for the y.
如果要把两个矢量相加,你可以用我教给你们的箭头相接的方法,或者就将二者的 x 分量相加,得到和矢量的 x 分量,y 方向也是这样
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