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Now Isaac Newton and/or Joseph Raphson figured out how to do this kind of thing for all differentiable functions.
既然牛顿和拉复生已经,指数了如何解这种可导函数,因此我们就不用太担心了。
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We don't have requirements. We don't have to take math, that's the reason I applied to Brown,
我们没有什么硬性要求。我们不用上数学课，这是我选择布朗大学的原因，
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We don't have to just stick with carbon, we can think about describing other types of atoms as well using this hybridization.
我们不用局限于碳，我们可以考虑利用杂化轨道,描述其它类型的原子。
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But let's not try and figure out what's going on with this big, big example because we'll get really tired.
但是我们不用去想,这个超大的例子是怎么运行的,因为那太累人了,哦实际上，在我们这么做之前。
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But the point I want to make about it is much more general and we don't have to look at particular cases to make it.
但是我想说的是这是很普遍的,我们不用看很多特例去研究它。
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Alright, so it turns out there're two other useful types that you don't get for free out of the box.
我们还是回到这里，还有两种很有用的数据类型,这两种都不用担心内存不足。
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Again, easy pass here just means no mountains, we're not talking about something on the New Jersey Turnpike.
强调一下 平坦之途不用翻山越岭,我们说的不是新泽西收费公路
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You understand that it is, or might be, but listen." We all listened.
不用再说了，你一定理解，或者也许，可是听着！“我们都听着。
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You don't need all these different things that There is something about we are moving ourselves, and giving ourselves opportunity that is just literally done at a park.
你不用各种所谓的,我们所做的就是,动起来，给我们自己,与自然接触的机会,而这在公园里就可以做到。
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That we should disregard what other nations think and stand for what they think is right.
认为我们不用考虑其他国家的想法,一意孤行。
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We're not going to read every bit of it word for word.
我们不用从头至尾一个字一个字地读。
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But after that it'll be writing about whatever you want and sometimes people feel a little out to sea not knowing exactly what we're expecting, so those instructions that we send out will be helpful.
之后就不用了,只需要写想法就可以,有时候人们会有点不知所措,不清楚我们要的是什么,所以我们给出的说明是有帮助的
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But we're not going to worry.
但是我们不用担心
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So in simply the interests of reflecting the plurality of our own departments, CE we tend to use these terms, rather than BC and AD.
所以为了表现宗教多样性，我们不用BC和AD，而用BCE和。
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Do you think we don't have to give money to beggars?
你认为我们不用给乞讨的人金钱吗？
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And so instead of defining efficiency the way you've got it written there, I'm going to define what's called something different for a refrigerator which is called the coefficient of performance.
现在我们不用,效率的那个定义，我给出一个,有关制冷机的,新的定义,叫做制冷系数。
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We have the dialectic of suspense on the one hand, how will this be resolved, and inevitability on the other, "Oh, it's a folk tale, it'll be resolved, don't worry about it."
我们一方面有悬念的对立，就不可避免地会有，另一个方面，即这个会怎样解决，“哦，这是个传说，这会解决的，不用担心它“
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I mean they take up a teeny bit but essentially when we're thinking about the set up of the atom, we don't have to account for them as using up a lot of the mass we're discussing.
所以我们可以假设电子没有质量,它们占据了，非常小的一部分,所以当我们考虑,原子的构造的时候,不用考虑它们的质量。
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That makes perfect sense. And we're 7 back to where we're there, minus 2 and 7.
道理不用再说,我们回到这里，-2和。
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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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Remember, that's going to become important when we talk about bonding, we don't need to worry about it too much right now.
记住，这在我们讨论到,成键的时候很重要，现在你们还不用太多的考虑它。
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Well, we could consider not putting in item 0.
好了，我们不用考虑0号物品了。
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Why don't we use this side of the stage?
为什么我们不用讲台的这边呢？
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Problem is, how big is that number?
因此我们也不用对？
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So just to emphasize that the strategies are quantities, rather than using S let me use Q today to be the strategies.
为了突出策略就是商品的产量,这次我们用Q来表示策略而不用S了
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So this means we can code for it in DNA, you don't have to worry how am I going to get into the cell.
这意味着我们可以在DNA中编写它，你不用担心它怎么进到细胞里去。
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And then this country has to work with many other nations and listen to them, not apologize, not gravel.
然后我们需要,与其他国家合作,听取他们的建议，不用道歉，不用困惑。
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But so when I say "family"-- we try to avoid even talking about "the Roman family," because it means something so different to them than what it means to us.
所以我说家庭时-,我们尽量不用来指“罗马家庭“,因为这个词古今意思截然不同。
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Even if there're no souls, we don't have to say that the key to personal identity is the sameness of the body.
即使没有灵魂的存在，我们也不用,肯定人格同一性的关键在于,同样的肉体。
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