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So, that's a homogeneous system, one phase. You have to know if your system is an equilibrium system or not.
所以这是个均匀系统，只有一个相，你得知道你的系统,是不是个平衡系统。
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You are lost. You're in a new city and you're lost and you don't know where you're going.
你迷路了。你刚到一个城市，没法找到方向。你不知道你该怎么走。
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Rather, the pauses are inserted by your mind as you already know where one word begins and another one ends.
相反,停顿只是由你的心理活动插入的,因为你已经知道了一个单词的开始,与另一个单词的结束在什么地方
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You know, if you're wandering through Harvard Square and you see an out-of-work Harvard grad, they're handing out examples of square roots, they'll give you an example and you can test it to see is the square root of 2, 1.41529 or whatever.
你知道，如果你从哈佛校园里穿过去,你看见了一个失业校友，正在派发平方根的示例，他们会给你一个例子,而你会检查2的平方根是1。41529或者别的什么。
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You might think that its function is to make you more - a better cyclist but that's not its only function.
你也许只知道它的作用是--,使你成为一个更好的自行车手,但这并不是它的唯一功能
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And again there, too, you saw an experimental result you were presented with that says, well at least to the extent that it could be measured, it was obviously getting very small.
再一次，你看到了一个,你经知道的实结果，至少在实验测量的范围内，对理想气体条件下的气体这一项很小。
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So you don't have to be a critic; you have to be strong; but you know what? You can be the average man, because this is a story about the average man.
所以你不需要当一个批评家;,但是你要坚强，知道么？,你可以是平常人,因为这是一个平常人的故事。
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RAM You probably know your computer has something called RAM which is where documents and programs live just temporarily while you're running them 'cause RAM tends to be pretty fast and whereas your hard disk is where programs and files live permanently.
也许你知道电脑有一个,正在使用的程序和文件都暂时存放在那里,而且会加快电脑速度,而硬盘是程序和文件,永久存储的地方。
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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。
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Other people might say, well you know, I'm really an adventurer--I don't care too much about risk-- I want the much higher return.
其他的人可能会说，你知道的，我就是一个投机商我不怎么在乎风险-,我只想要更高的收益。
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Because you would know being a good utilitarian that taking some, a small amount, he'd scarcely going to notice it, but it will make a huge improvement in the lives and in the welfare of those at the bottom.
因为作为一个优秀的功利主义者，你知道,收走一些对他们来说根本无关痛痒的钱，却能大大改善社会底层那些人的生活,增加他们的福利。
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There're also changes of what you can teach, extends what you can teach, because you can get to concept which are really quite sophisticated that you will never teach it at the introductory level, because the math is the least that you can make it quantitatively, because you have a visualization that shows physically what's going on.
同时这也能改变,教学内容，你能教授的程度，因为你可以定义,那些通常很难的,你在入门阶段都不会遇到的,抽象阶段，因为数学是你最不能,用定量手段来解决的，因为你有一个直观过程,知道什么正在进行。
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You got a plus f and a minus f, so you got to do what you got to do.
这里有一个正 f 和一个负 f,所以你知道该怎么办
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But then as, you know, you're in the last couple of months of project or last month,
但是你知道，在一个项目的最后几个月或者月末，
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If we want to know your blood pressure, you put on the cuff, you've got a measure.
如果想知道你的血压,把设备压在手腕处,就得到一个测量值
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When the uncertainty gets that big, you don't know which came first.
当不确定度到那么大的数值时，你不知道谁是第一个到达的。
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Common knowledge is: "I know something, you know it, you know that I know it, I know that you know it, I know that you know that I know it, etc., etc. etc.: an infinite sequence.
共同知识是指,我知道一件事,你也知道这件事,你知道我知道这件事,我也知道你知道这件事,我知道你知道我知道这件事,以此类推,一个无限的循环
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My favourite player at the moment is a Chilean player called Hernandez. Yeah, you know Hernandez?
我现在最喜欢的球员是一个智利的球员叫做埃尔南德斯。是的，你知道埃尔南德斯吗？
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they have a hockey team called the Mighty Ducks, you know the Ducks, of Anaheim.
有一个曲棍球球队叫神鸭队，你知道，阿纳海姆的鸭子。
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Right, so the fundamental idea then, is, I want to glue together information, I want to take pieces of data that naturally belong together, glue them together, and attach some methods to it.
放在一起的数据拿出来，把它们放到一起，然后把一些方法附加上去,这些，你知道的，是很长的一个定义，让我们来看个例子吧。
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In cases where you have a hard decision to make, you know you're not racist.
假如你碰上一个难以抉择的情况，你知道你不是种族主义者。
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Well, you wake up in the morning and it is raining and being the conscientious and reliable young people that I know you to be, you probably forget to do it.
嗯，你早上醒来，并且在下雨,作为一个认真的，可信赖的年轻人,我知道你会这样做，你可能忘记了做。
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So that's the second thing I've just highlighted here, is that I now have the ability to check whether it does the right thing.
你知道的，一个虚数,但是返回虚数就没有什么价值了,那么这是我想要强调的第二件事情。
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We all know that in a falling elevator, you definitely do not escape the pull of gravity.
我们都知道在一个下坠的电梯里,你当然还是会受到重力的
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I don't know how much you read about the-- right now we are going through a major financial crisis, which started in the U.S.
我并不知道你读了多少...,现在我们正在经历一个严重的金融危机,它起始于美国
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What makes this enterprise difficult but also riveting is that moral and political philosophy is a story and you don't know where the story will lead.
这一过程会充满挑战又引人入胜,因为道德与政治哲学就好比一个故事,你不知道故事将会如何发展。
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And this is a quantity that you know, right?
这时一个你已经知道的物理量，对吗？
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You can just say it's RNA or DNA and you know everything about the pentose in every molecule on the chain.
你只需要说它是一个RNA或者DNA,就能知道,每个核苷酸分子的戊糖
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It would be much better if you had a reference point that didn't care where the pressure was.
我们还需要精确地定义气压,你必须知道气压的大小,当然如果我们能找到一个。
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When you think about an int or a float or a dictionary or a list, you knew that there were functions that operated on them.
当你想到整型，浮点型，或者链表时,你知道可以用函数去处理他们,但是当你传递一个参数，例如链表。
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