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So the moral here, again, is whenever you're doing an implementation of a simulation, you do need to have some underlying theory about the model.
所以这里的寓意还是,不管你在做什么东西的仿真程序，你需要有一个,模型的底层程序。
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And also be well-informed as to what you need to do and the steps you need to take
对于你要做什么，要采取什么步骤，你都要保持消息灵通，
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Now the question you'd need to ask yourself is how do you know this didn't happen to you last night?
现在你要问自己的问题是,你怎么知道,昨晚你没发生这样的事？
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All right. What do you do when you've found the bug and you need to fix it?
好了，当你发现错误并修改它们的时候,你该怎么做？记住一个古老的法则？
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And I just have to do this today on the Greco-Roman world, tell you everything you need to know about the Greco-Roman world, at least for this semester.
今天要讲的古希腊罗马时代，告诉你们所有需要了解的古希腊罗马知识，至少这学期需要了解的知识。
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I think the questions that you need to ask yourselves in the management of education for the adult learner is do we face a period of disruptive technology.
我认为,在管理教育成年学者时,你们应该问自己,我们面临着技术颠覆吗。
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What else do you need to know?
你还需要知道什么？
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Now, there's some things you don't actually need your brain to do.
事实上,有些活动并不需要大脑的参与
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Yeah, so you're asking, if for example, why do you need a booster of tetanus, because if I get exposed to tetanus wouldn't I have this rapid response?
所以你会问,举个例子来说,已经感染过破伤风杆菌的人,为什么仍然需要接种破伤风疫苗,身体不是应该马上对该病菌做出应答吗
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So you need to lose weight? You can do it bed.
想减肥吗,在床上减吧
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So how many time do you think-- you all have a piece of paper in front you-- how many time do you think you need to roll over the piece of paper ? for the piece of paper to reach the moon?
你们认为需要折多少次-,你们面前都有一张纸-,你们认为需要将纸折叠多少次,才能碰到月亮？
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And in terms of using these equations in solving problems on the exam, and also using these constants, make sure if you think there might be any chance you're going to get any little part of a problem wrong or do a calculation inaccurately, you need to write out every single step of your thinking as you write out these problems.
而当你在考试过程中用这些公式,来解题时，加上运用这些常数，如果你觉得有可能,在某一小问上出错,或者出现计算错误，请务必把你的思路一步一步地都写出来,当你在答题的时候。
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because you've already done it or you don't need to do something because you've already done it before.
因为你之前已经做过，或者你觉得因为之前做过就没有必要再做了。
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And it's pretty expensive to do so because I think they know you need to do it.
这样做很贵，因为我想他们知道你需要这么做。
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Remember that you can use it to express a need for you to do or have something,
记住，你可以用它来表达你做某事或得到某些东西的需求，
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You're asking, "How much i and how much j do I need to build the same object?"
你们会问,"需要多少倍的 i 和多少倍的 j,来构成同一个矢量呢"
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And you're telling them about what's useful in life, what you need to do in life.
你在告诉他们生活中什么是有用的，什么是你们必须做的。
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Once you find out what you should do, then you need to stay focused.
一旦确定了目标，就要专注。
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And you need to think about how sophisticated do they think you are at playing games.
并且你需要考虑到,他们认为你有多老练
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