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And when you have an optimal substructure and the local solutions overlap, that's when you can bring dynamic programming to bear.
当你得到一个最优子结构,但局部解决方案有重跌时，你就可以引入动态编程,来解决这个问题了。
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That's, and you have lots and lots of data, but you need some, you know, expertise to analyze the data,
虽然你有很多很多的数据，但你要知道怎么分析，
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But there are all sorts of things, you can just breathe in and breathe out, and it's a real opportunity.
但也有很多种事情，你只需吸气呼气，实为难得的机会。
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But it shows you that with a little bit of understanding of quantization you can go a long way.
但它看起来,有一些量子化的含义,你可以研究研究。
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Now you have a gap in your data and yet you still have some magnetic particles there that could be useful.
现在的数据中可能会有一些空白,但你仍然有一些,有用的磁性粒子。
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Maybe other principles of hermeneutics will place much more stress on innovation or novelty or difference, but you're not sure people can understand unless they share a great deal of common ground."
也许诠释学的其他原则更强调,创新，独树一帜，与众不同，但你不能保证人们都能理解,除非他们有很多相同之处“
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And you meant to get to it sooner, but you had a lot of other things to do.
本来是打算早点开始准备的，但你总有很多别的事要做。
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You might have four independent sculptures in there, but they relate one to another; they make some sort of special sense one to another.
你有四个独立的雕塑,但他们却彼此联系,彼此间好像有某种特别的意义
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On the other hand, if you're in an ethics of community you might argue that men and women have different rights and different responsibilities.
但在另一方面，如果你的文化是集体道德,你可能会认为男人和女人,有不同的权利和不同的义务。
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Well if you have a slave, that slave can't actually sign contracts.
如果你有一个奴隶，但法律规定奴隶不能签署合同。
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Well we've talked about some of these already, but there are a ton of ways that inaccuracy can get introduced when you start assessing what people are eating.
我们已经讨论过一些了,但当你开始估算人们的饮食时,有很多方面,会造成误差
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If we go to the oxygen atom, now we're talking about starting with 6 in terms of valence electrons again, but instead of 2, you can see we have 6 lone pair electrons around the oxygen minus 1/2 of 2, so we have minus 1 is our formal charge.
如果我们分析氧原子的话，现在我们讨论的还是,从六个价电子开始，但孤对电子不再是两个了，你会看到氧周围,有六个孤对电子，再减去二的一半，因此我们有一个负的形式电荷。
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There are two things: you can have a cash account with them you put money into the cash account and you haven't bought shares with it yet; it's just sitting--it's like in a bank.
这里有两种情况,一种是你有现金账户,你将钱存进现金账户,但还没有买股票,仅仅是做储蓄,就像存在银行
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Seek fame, we all want that,and I'll say more about that, but you can't push it too far, there has to be some kind of a reasonable human limit to what you do.
功名利禄,世人所逐,但我想多说一句,凡事要有限度,也就是说,你的行为,该有某种合乎常人行为的界限
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Restriction enzymes have names, The names all look - they're all italicized and they're capital letters and small letters so that they won't be easy for you to understand, but they are - if you know the nomenclature, easy to understand.
限制性内切酶有自己的名字,名字看起来都很--,都是斜体的,大写小写字母混合,你们不太容易理解,但它们都是--如果你懂命名法,是很容易理解的
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I can change everything overnight; it does happen. I put that in for a reason because sometimes some of you have not taken a physics course and you don't know how to do well in physics and slowly you catch on and by the time it's Final exam you crack the code; you know how to do well.
我能一夜之间扭转乾坤,确实有过这样的例子,我这样做是因为,有时你们中有人可能以前没上过物理课,不知道怎样学好物理,但慢慢地你赶了上来,到期末考试的时候,你忽然灵光一闪,考起试来得心应手
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But it's something that if you learn enough about it, and you'll be able to find the rhythm
但当你学到足够多的时候，你会有一定的语感，
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and I think I really like that, there's a real friendliness, but it's not in your face.
而且我真的很喜欢，这里有一种真正的友好，但你不会觉得被打扰。
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And,you may or may not be intested in the motion, as I am, but you might say: what is the signal good for?
对于情感来说，你们或许有兴趣，也有可能和我一样觉得没意思，但你会问，这种信号什么用处？
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But it is conditional for you, just as it was for them.
但对你是有条件的，就像对迦南人也是一样的。
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But I hope to doing the next couple of lectures is giving you an idea what this class is about so that you can decide whether or not it is for you.
但希望几堂课后，你能有个大概印象,让你决定这门课是否适合你。
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But it's certainly open to you to decide that you think no,no, the personality theory is the stronger view.
但你自己的信仰可以自己决定，你可以决定人格理论更有道理。
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And empathy has different definitions but we can simply view it as the feeling that your pain matters to me.
移情有几个不同的定义,但用简单的话来说就是,我不会对你的痛苦无动于衷。
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But once you get into a situation, it complicates, you see things. How do that happen for you?
但一旦你到了一个环境中，有了具体情况，你就能明白，你是什么情况呢？
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That would put you out here; you would have very much more return, but you'd have more risk.
那就会落在这个点上;,你可能有非常高的回报，但你的风险也增加了。
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But if you're a freedman you're-- the other thing I should tell you is that in Roman law if you're manumitted as a slave, you're made free, if you're manumitted in the normal way they did it, that makes you a Roman citizen, if your owner was a Roman citizen.
但如果你是自由人-,有一点我得解释一下,罗马法律规定，如果奴隶被释放了，如果是正常方法被释放的，他就会成为罗马公民，前提是他的主人是罗马公民。
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But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."
但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉
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see people with them, and what happens here is it's supposed to be those noise cancellation headphones. All they do is they take in the ambient noise that's around it, and there's actually battery in the headphones, that then produces waves that are going to destructively interfere with that ambient noise.
我从来没有用过这个,但你会看到有人带他们,它们可以作为消噪音耳机,它们所做的就是采入,周围的随机噪声，耳机里面是，有电池的，然后它能产生和,随机噪声相干相消的声波。
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One of the big problems with studying human diseases is that you can study how they occur in people but there's only a limited amount that you can learn from people.
在人类疾病研究中的一个难题是,你有能力研究发病原因,但以人类为样本做研究却是备受限制
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Now it's down the list of ingredients, it's actually toward the end, but if you look at the marketing of this and look at the can it says, there's fresh potatoes and carrots, but actually there's more sugar in this than there is carrots.
它在配料表的底部,几乎是在最后面,但如果你买东西时找到这个罐头,上会写着这里有新鲜的土豆和胡萝卜,但实际上其中糖要比胡萝卜多
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