And when you can write that down, for me, there is just tremendous sense of creativity and of purpose and meaning.
当你能把它写出来的时候,对我个人来说,会感到这种来自巨大的创造性,目的性,意义性的满足感。
Yeah, but I think it's also an important skill. You need to be able to express what you know
难,但是我也觉得这是一种重要的技能。你必须能够把你知道的表达出来,
Romeo, doff thy name, and for that name, which is no part of thee, take all myself."
罗密欧,抛弃了你的名字吧,我愿意,把我整个的心灵,赔偿你这一个身外的空名“
And actually, a question that might come up, I just explained, the sodium channel, you might say, well, how do potassium channels work then, because I can understand how you can filter something big out, but how do you filter out something small.
实际上,可能大家会问一个问题,我刚解释过,钠离子通道,你可以说,好吧,那么钾离子通道该如何起作用呢,因为我可以理解你是如何把大东西过滤掉的,但是你如何把小东西过滤掉呢?
- But there's one potential gotcha here -- and this is where you have to be kind -- of piecing together the little clues along the way -- what have I done that's interesting here that had I not, I would have had a mathematical error?
但是这里有一个可能性-,这就是你需要把,一些线索拼凑在一起-,我这里所做的是很有趣的,如果我不这样做,我可能已经犯了个数学错误?
I've got a list, walk you through it an element at a time, do I look at each element of the list more than once?
你一次只能得到他的一个元素,我是不是把数组里面的每个元素,都过了大于等于一次?,你不这样认为么?大家有什么建议?
If he's described as somebody who's insecure and nervous, you could interpret my activity as nervous twitches.
如果有人把我描述成紧张不安的人,你就会把我的动作解读成紧张不安。
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
This quotation: "You are Peter,and upon this rock I will build my church."
引文“你是彼得:,我要把我的教会建造在这磐石上“
The readings you should think of as complementary to my lectures.
因为你应该把那些书当作是我讲座的补充。
That's a good point, of course, I've abstracted from that here, and in fact, we'll come back, I think, I'll try and put that onto a problem set, but I think you're right, it is an issue here.
当然了,那也是个不错的选择,我把这一点从模型中给抽离了,实际上我们一会会回来讨论,我准备把这一点作为习题集留给大家,你说的很对,这也是一个关键问题
Like one of the school in Oxnard where I live, you have to have your shirts tucked in
像有一所学校,在我住的奥克斯纳德,你必须把衬衫塞到裤子里,
What I really want to do is just give an example of what happens when you throw the thing, the material into a calorimeter and see how much the temperature changes.
我想做的是给出当,你把这些东西,这些材料扔进,量热计时会发生什么,看看温度会变化多少。
And Moses said to the Lord, "Why have You dealt ill with Your servant , and why have I not enjoyed Your favor, that You have laid the burden of all this people upon me?
摩西对上帝说,您为何苦待你的仆人,为什么我得不到您的恩典呢?,您把所有人的重担都给了我一个人?
If my advice is lost in the wind and you do not do as I wish, I do not recognize you as my son."
如果你辜负了我对你的期望,胆敢把我的话当耳边风,我就绝不认你这个儿子"
I don't have a safe--can I put it in your safe?
我没有保险柜---我能把它放到你的保险柜里吗?
And finally Agamemnon says, "No, I'm not going to give back my girl, but I'll tell you what, I will give back my girl if I am given the girl you took from a different Trojan, and that'll be fine.
阿伽门农最后说,"我不会把那姑娘还回去,但是,照我说,如果你将在特洛伊战中俘获的姑娘,都送给我,我就把那姑娘还回去
I know you want me to tell you about his secret, but I won't.
我知道你想让我把他的秘密透露给你,但是我不会这么做的。
I had to clean the house and the mess that you made.
我得把房子打扫了一遍,清理你留下的一团乱麻。
That didn't happen to me -- once I got into the lab, I didn't want to leave. So, I thought, "You know what, I think I'll change the medical school plans and now I'm going to go all the way -- chemistry major, chemistry grad school."
这很好,但我不是这样,我一进入到实验室就不想离开了,所以我想“你知道吗,我想把我学习医学的计划改成化学-,我要学化学专业,读化学研究生“
And as you might expect, I'm going to then try and see if I can convert that into a float.
正如你希望的我要试着把他们转化为浮点数,等一等。
You don't represent as your own work the work of anyone else, and you don't use aids to memory other than those permitted by the examiner.
你不能把别人的作业当做自己的交给我,你不能使用任何记忆的工具,除了考官允许的。
It's just like if you restrict me to only a subset of numbers, only the odd numbers, still there's an infinity of odd numbers.
这就像,如果你把我限制在数字的子集,只是奇数,但奇数的数量却仍然是无限多的
You are Peter and upon this rock I will build my church."
你是彼得,我要把我的教会建造在这磐石上“
The claim is, I can write any vector you give me as a real scale i plus a real scale j.
也就是说,我可以把任何你给我的矢量,写成 i 和 j 的实系数线性组合的形式
I want to abstract that. And the abstraction you see, right here. I'm going to highlight it for a second so you can see it. I want you to look at it on the handout as well.
我需要进行抽象,这个抽象就在这儿,我把它强调给你们看看,我希望你也能看看讲义里的这部分内容。
I will come down and speak with you there, ; and I will draw upon the spirit that is on you and put it upon them; they shall share the burden of the people with you, and you shall not bear it alone.
我将在那里降临,与你说话,也要把降于你身上的灵份赐予他们;,他们就和你同样当这管理百姓的重任,免得你独自担当。
Again, if you didn't hear it, the answer was it's log.
因为每次我可以把这个问题的规模,缩小一半,你答对了。
If I'm described to you as a vivacious and creative person and you see me and I'm all kind of bouncing around and everything, you could then confirm this as, "Look how vivacious and creative he is."
如果有人把我描述成一个活泼有创意的人,当你看到我上跳下蹿时,你就会以此来确认你所相信的,“看他多活泼多有创意”
Therefore, the vector A that you gave me, I have managed to write as i times Ax plus j times Ay.
这样,你给我的矢量 A,我已把它写成 i ? Ax + j ? Ay的形式
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