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You can be in deep water, for example, if you invest in stocks without knowing anything about the stock market.
VOA: special.2009.05.10
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If you knew only the third derivative of the function, you can have something quadratic in t without changing the outcome.
如果方程里有三阶导数,你就可以引入一个二次项,但是结果却不会变
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It's best if you can do it even without subtitles.
如果你能不看字幕，那就最好了。
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If you feel exposed without a text book, you really have to have a textbook, John actually I'm going to reuse that word, John, at least suggest it, on the course website.
如果你觉得没有教科书就缺乏安全感的话，那你真的需要一个了，其实我应该重新使用这个词儿，至少是建议，你能在课程网站上找到。
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These gas ions, if you take gas ions, these gas ions, if you take gas ions, gas ions of opposite charge will necessarily agglomerate without limit.
这些气态离子，如果你得到气态离子的话，如果你得到这些气态离子，具有相反电荷的气态离子,将必然会无限地聚集。
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If you've been going 19 days without any food, you know, someone just has to take the sacrifice.
如果你已经19天没有进食，那么总得有人要作出牺牲。
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If you knew your way around in the funhouse like your own bedroom, you could wait until a girl came along and then slip away without ever getting caught, even if her boyfriend was right with her.
如果你在开心馆中跟自己在寝室里一样熟悉门道，你可以等一个姑娘前来，事后溜之大吉,绝不会被人抓住，即使她男朋友就在旁边。
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Nowadays, if you go to outer space, you can check for yourself that if you throw something out, it just goes on forever without your intervention.
现如今,如果你去了外太空,你可以向外抛个物体试试,如果你不打断它,它就会一直运动下去
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On the one hand, it could be that certain facts, if you knew them, would cause you to behave differently without actually giving you any reason to behave differently.
一方面，可能有某些事实，如果你知道了它们，会导致你的行为不同,但并没有真正地给你改变行为的理由。
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Any of you who have access to a four- or five-year-old, a sibling or something-- Do not take one without permission, but if you have access to a four- or five-year-old you can do this yourself.
如果你身边有四五岁大的孩子,兄弟姐妹什么的,一定要先得到同意再去试验,如果你身边有四五岁大的孩子,你可以自己去试试
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You see, if they give the-- if they merely give shares to the CEO without increasing your shares, then you are being diluted because it's raising the total and it's reducing the ratio.
如果他们仅仅给首席执行官股份,而不给你们增发股份的话,那么你们的股份会因总数增加而被摊薄,比例有所降低
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There are so many ways in which that has changed the world, but I can't do justice to it but Hanson does, so if you want to read, fields Without Dreams, you can ponder the significance of this great change.
有太多改变这个世界的因素了,我很难全部都客观地讲出来,但是汉森可以,你可以在《遗梦之野》中有所了解,你可以仔细琢磨这些伟大的变革
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If you've been going 19 days without any food, you know, someone just has to take the sacrifice, someone has to make the sacrifice and people can survive.
如果你已经19天没有进食，那么总得有人要作出牺牲，必须有人牺牲，其他人才能活下来。
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Because if there was really just one thing there, you couldn't imagine it without it.
因为如果它们的确是同一个东西,你是无法脱离它而想象到它的
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First one says, if you knew the force acting on any body, without going into what caused the force, then you may set that force equal the mass times acceleration of the body.
第一部分是,如果你知道作用在任一物体上的力,无论这个力的来源是什么,都可以令力等于质量乘以物体的加速度
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You can add something else to the answer without invalidating it, and that is anything with one power of t in it, because if you take one derivative it'll survive, but if you take two derivatives, it'll get wiped out.
你可以往答案后面加上其它东西,而且不影响结果,也就是任何t的一次项,因为你求一次导数之后它还在,但如果你求两次导数,这一项就不存在了
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