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But that's also nice, it lets you see how the recursive thing is simply unwrapping but the complexity in terms of the amount of time it takes is going to be the same.
它让我们看到了，在复杂度依照时间总数来看,没有变化的情况下,递归是怎么一步步的展开的,我欠你一个糖，谢谢。
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but it seems like you're okay with giving me help. So thank you.
但看起来你似乎很乐意帮助我。真是谢谢你。
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All right. I want to do one more extended example here., because we've got another piece to do, but I want to capture this, because it's important, so let me again try and say it the following way.
很好的问题，谢谢你,我还要带大家去看一个延伸的例子,尽管我们还有别的事情要去做，但是我还是想提提这一点，因为这很重要。
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If you stop and be aware of your breath, it would reduce the likelihood of going to have the spiral feeling like that. -Thank you.
如果停下来，留意呼吸，就能避免有不断恶化,感觉的可能性，谢谢你。
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Thank you Frost, you have delivered this to us.
谢谢你弗罗斯特，你直接告诉了我们。
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At the end of the semester, I don't think-- I am not expecting you to come and tell me, " "Wow! Thank you for teaching me so many new things."
在本学期结束时，我不想，我不期待你跑来告诉我，“谢谢你教给了这么多新东西“
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Anybody want to? Thank you!
谁想做？，谢谢你！
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Take a stick, bang it into the ground, hang on that stick a captured helmet, - by the way please get up, thank you - a captured helmet, or a captured corselet, something that represents the military equipment that the losers had that were left on the field.
拿根棍子,插进地里,挂上一个缴获的头盔,-哦,快起来吧,谢谢你-,缴获的头盔,或者是缴获的胸甲,一些本归战败方所有,却被他们丢弃在战场上的军用装备
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Okay. So, Thank you for telling me.
哦，69页，谢谢你提醒我。
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Thank you, Bumpy," I call back. "You're welcome," says Bumpy.
谢谢你小颠“，我回头说，他说：，“不用谢“
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Right, so to get all the way, good, so to get all the way, thank you So to get all the way to 1, we need a lot.
没错,所以这样一来,很好,所以这样一来,谢谢你,要让平均数到1需要很多条件的
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So thank you, dear.
所以，谢谢你，亲爱的。
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Surrounded--Surrounding--To complete a mechanical metaphor that would have led Descartes to despair-- Thank you, Koleen.
这也是个可以让笛卡尔绝望的,机械性隐喻,谢谢你,柯琳
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> Thank you Number Three. All right.
>，谢谢你，第三个，好的。
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Thank you. Nice catch too by the way. All right, so now that you can see that I can screw up programming, which I just did.
但是我们在半路中发现并修复了，谢谢你，那么我们做了什么呢？,我们现在学习了收集东西的一种方式。
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Well, thank you very much for inviting me.
也谢谢你邀请我。
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Man, you're going to really make me work here, I have no idea if I can get it that far, ah your friend will help you out. Thank you.
我不知道我能不能扔那么远，你的朋友会帮你的，谢谢！,那位同学完全正确。
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Does it make sense to think we could do this in less than linear time? You know, it takes a little bit of thinking. What would it mean do I see a hand way at the back, yes please? Thank you.
你要稍微想一想，这意味着什么？,那儿是有人举手么？后面的,请你来回答吧,谢谢你，小伙子,你让我体会到我上课的价值。
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Paul So welcome Peter to this program. - Thank you Paul.
欢迎您来到讲堂，-谢谢你。
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It was exactly where I want to go. Thank you.
这正是我想要讲的，谢谢你。
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What is it? Yes, thank you: commuted, not transmuted.
什么？，是，谢谢你：,不是改变是减刑了。
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Right there. All right, we'll try this again. OK.
有人要么？你么？谢谢，顺便说一句。
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We're so glad you're here. -Thank you!
很高兴你能来，-谢谢！
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What I hope will happen is for you to come and say, " rather than "thank you for teaching me", something you would say " "thank you for reminding me of something that I've already known".
我所希望发生的是你过来跟我说，不是说“谢谢你教了我，之类的话,而是“谢谢提醒了我一些我熟知事情。
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John Right. Great. Thank you, John.
好，太棒了，谢谢你。
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It's a straight line, thank you.
是条直线,谢谢你的回答
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Yes. The point is, it's not going to work, and she caught both of them, impressive, it's not going to work because iters left is already negative, it's just going to skip the whole loop, and I'm in trouble, so thank you for catching that.
是的，重点是，程序不会运行的，她发现了两个错误，很令人敬佩，程序不会运行,因为iters，left已经是负数了，它会跳过整个循环，然后就有麻烦了，谢谢你提出这个问题。
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in a second. Oh, thank you, I hope your friends help you out with that, thank you.
我希望你们的朋友能在这个上面帮帮你们，谢谢你，好，你们可以看出来。
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Thank you so much, my brother.
我要谢谢你，亲爱的兄弟。
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This is the "Median Voter Theorem"; thank you.
中间选民定理,谢谢你
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