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Let me show you one more class, though about-- sorry, let me show you two more classes of algorithms. Let's look at the next one g- and there's a bug in your handout, it should be g of n and m, I apologize for that, I changed it partway through and didn't catch it.
请大家看，额,在你们的课堂材料中有个错误,应该是g，很抱歉-,我改了一部分这个错误但是没看到这里的，好，这儿的增长率，有人想猜猜么？
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I live in an area called Cobble Hill, which was an Italian neighborhood at one point, and it changed.
我住在一个叫科布尔山的地方，那儿曾经是个意大利住宅区，后来它变了。
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Let's think about it for ten seconds why this could be interesting and relevant, and I want to ask if anybody changed their mind.
首先我们来,考虑下这条，提示几秒钟。
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It's now got a different radius, same angle, so I just changed the radius of it.
我刚刚改变了它的半径，噢，但是对于笛卡尔形式来说。
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I think one reason why they may have changed it in 2003 is that interest rates were getting really close to zero in 2003.
我认为其中一个,为什么他们在2003年改变了它的原因,就是利率在2003年真的快要接近零了。
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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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This is old data now, from 1995, but I don't think it's changed very much.
这是个很久的数据了,来自一九九五年,但我不认为这会有多大改变
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So, you know, it has changed a lot since, I guess, over the last ten years or so,
所以，大概是在过去的十年里，我想，它变了很多，
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I haven't deytoryed it, but I've changed it.
我没毁坏它，但是我改变了它。
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I mean it's changed a lot recently because of technology,
但由于科技的发展，这种互联性确实也有了很大的改变，
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The dentist came back and said funny thing; it hasn't changed at all; I'm paying exactly what I did ten years ago.
牙医回来说道，太搞笑了；,它一点也没变；,我与十年前支付的价格一模一样。
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But it changed in a way that I want to remind you.
我要提醒你们的是它以某种方式在改变。
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