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And will make mistakes. And therefore, you write your programs so that catastrophes don't occur when those mistakes are made.
就是人是很愚蠢的，会犯错误的，因此，你要这样设计你的程序,以达到当犯错误时避免大事故的目的。
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I mean, you have large luxury buildings with doorman and all of that, you know, really, really high,
你拥有又大又豪华的、带着看门人等，那种很高很高的建筑，
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So if you need more--bigger numbers, you just have a 16's column and a 32's column, and so forth.
所以，你需要有一个更大的数字，就采用16位，32位等等。
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Using the material you've learned in class, you'll be expected to answer some big questions for an 8-page final paper that you'll turn in at a date to be assigned.
运用你在课堂上学到的材料，在8页论文中回答某些大问题,然后准时交给我。
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And the 0.0016 is greater than what I would have as experimental error, so your theory is wrong. Bohr says oh, yeah?
。0016比,我检测出来的错误大得多，所以你的理论是错的，波尔说，哦，是吗？
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There are a lot of people that can do work, and if you have a more efficient way to manage a large crowd of engineers, you can be very competitive in the technology world.
人们的工作能力毋庸置疑，如果你能够有效管理,一个大的团队，那么在这个领域，你的竞争力就提升了。
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If you had more than fifty minutes, you could actually make ample use of it.
如果你有超过50分钟的教学时间，你大可尝试去做。
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We can do that sort of: When you play tic-tac-toe with your seven-year old nephew or niece, you just look ahead and work backwards.
我们可能会这么做,当你和你七岁大的侄子或侄女,下三子棋的时候,你就会先预测,然后想
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And if you just look at the numbers, you can see how it cuts in from one side and then the other side as it keeps narrowing that range until it gets down to the place where there are at most two things left, and then it just has to check those two to say whether it's there or not.
你能看到他是如何不断的，从一个大的范围被拦腰劈开,知道最终只剩下两个数字,然后就只需要,比一比就知道结果了,将它同线性查找比较下。
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You're able to get bigger and bigger displays at cheaper and cheaper prices.
你能够以越来越低的价格,买到越来越大的显示屏了。
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When you get exposed to that particular antigen they say, 'I'm on, it's my time'.
等到你暴露在特定的抗原中,它们说,该我了,到我大显身手的时候了
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That's a very large number, it's all relative, so you don't necessarily know it's large without me telling you or giving you other ions to compare to, but chlorine does have a very large affinity, meaning it's really likes getting an electron and becoming a chlorine ion.
这是个非常大的数值，这种数值都是相对的，因此你不一定能知道这是非常大的,除非我告诉你或给你另外离子数值作为参考，但是氯确实有很高的电子亲和能，这意味着它非常乐意得到一个电子,而变成一个氯离子。
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It turns out, to a tremendous degree, and you could imagine yourself in that situation, they choose this one, the one that wasn't the one they turned down.
结果发现，非常大的程度上，你们也可以想象实验对象是你自己，他们选了这一粒，不是他们第一次没选的那粒。
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But, when you move from lending money to the government -either short-term with bills or longer term with bonds -to investing in the equity market, there's a stunning difference in terms of the returns.
当你转变投资方式,从借钱给政府,即通过短期债券或长期债券的形式,变成投资于股票市场,回报率的差别会大到让你吃惊
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And this point-- that it is culture rather than acoustics-- was brought home to me once in a discussion with a student here at Yale who said to me, "Yeah, but over there at the Slifka Center, we Jews have lots of happy melodies and they are all in minor--what you would call minor."
还有一点,大小调是文化差异,而非声学,有个耶鲁的学生上我家里去讨论,他对我说,哈,就在这个斯利夫卡中心,我们犹太人有很多快乐的旋律,都是小调,就是你说的那种小调
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But I think as you get older, like when you were younger, you might want to do acting
但是我觉得你胆子大一些的时候，比如小的时候，你可能想当演员，
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Then, as one who'd waited precisely for her maledict voice to hoarsen, I outshouted her in these terms: "Therefore come to bed, my equal, uncursing, uncursed!"
我瞅准时机，等她的咒骂声一减弱,我大吼起来，盖过了她的声音：,你不是要平等吗，那就床上见，别老跟我念咒了“
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I mentioned to you in the website that this is not the big opportunity you've been looking for to be a star.
我在网上也跟你们提到过,这不是一个你期待已久的,成为大明星的机会
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But when you have many page views and that many people spending much time on the site, you can monetize it pretty easily just by putting matters on there.
当拥有那么大的访问量,当人们花大把时间在你的网站上时，仅靠投放广告,就能轻松赚钱。
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Now the first the eat food: well he has a long discussion, and as you'll know from the book, about what is food?
他做了大篇幅关于饮食的讨论,你可以从书中了解到,什么是食物
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I lecture about what I like to talk about, what's interesting, that'll hopefully make you understand what the big issues are in all of this.
我讲我愿意讲的,有意思的,希望这些能让你明白,这里面都有什么大事件
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Stand up, give me your name. Stand up. Shout it out to the crowd.
请起立,说出你的名字,大点声说
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And so the big issue is -- this is what you must never do, but this is what you got to do if your phalanx is broken.
所以现在的大问题是,这也许是你在战场上永远不能做的事,但你在方阵被打散时不得不这么干
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So the point is, once you're at equilibrium none of the other states they're accessible, the system could rearrange itself to form them, but there is no accessible state that has higher entropy than the equilibrium state.
所以要点在于，如果你处于平衡态,其他所有的态都无法达到，我们可以重组体统来形成这些态，但没有一个可以达到的态,有比平衡态大的熵。
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Now we're gonna hand you some framework, that code that we wrote with some blanks to get you accustomed to the idea of one, writing larger programs than time might allow if you were doing it on your own.
现在就提供给你们一些框架，在代码中有些空白,是为了让你们了解其中的思想，如果是你自己，若时间允许,那就尽量写大的程序。
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You take notes any way you choose, but if you don't get anything on there it'll be available online.
你可以用自己的方式做笔记,但如果你不想记笔记,也大可直接下载课件
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So as you can see, as we escalate the problem difficulty, the difference between the good method and the not quite as good method gets bigger and bigger and bigger.
如你所见，当我们处理更复杂的,问题的时候，优良的算法,和并不那么好的算法之间的,差异会变的越来越大，这一点很重要。
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You begin to realize that all of these big seemingly complicated pieces of software in websites that you use, if you just hone in on little pieces of them at a time and you realize oh I can do that and oh I can do that.
你开始意识到,你所登陆的网站上这些大而复杂的软件,如果你只对其中的一小块代码进行研究,你就会发现,哦，我也可以来做这个。
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Well if you've created fragments here and they're fragments of different size, the small ones are going to move faster than the big ones.
如果你制造了一些长短不同的片段,那小片段会比大片段移动得快一些
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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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