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This is giving us one more try on the vsper geometries, because it didn't go so well on Wednesday.
这里再给你们一次机会，我们周三课堂练习做的不是很好。
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Would you do it again?
你可以再做一次吗？
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Now let me do it a second time to show you that -- I'm saying this poorly.
还不至于如此呢,现在让我再做一次给你们看。
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I want to make one more remark about what I'll be doing in terms of this class.
我想再多弄一次关于,在这个课题上我会明确地做什么的讨论。
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We have to do it again because the mortgage institutions have deteriorated somewhat.
我们必须再做一次改革,因为抵押贷款机构已经有所恶化
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Let's do this again. We'll sing it again.
来再做一次,我们再唱一遍
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X So now if we actually introduce the variable X, welcome X. Let's do this again.
现在如果我们引进一个变量，欢迎你，X，让我们再做一次。
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So let me expand on that very slightly, and again we did this last time but I want to do one more time. I have to be careful about how I'm actually implementing a list.
我们之前做过了一次,但还是再做一次吧,我得小心的在列表中执行,例如在这个例子中。
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And then I go back and I start again, and I do the same thing.
跑完了一遍，它总是在最下面，然后我回来再做一次。
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I divide them in half one more time.
我要做什么？，再一次的将这些列表进行分半。
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And then in the even case I've got to do a square and the divide.
如果是偶数情况的话,我还要再做一次除法和求平方。
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Having reached the end of the block, go back up and check the test.
执行到了这块代码的最后，程序会回去再做一次测试。
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And again, notice what I've done.
再一次看看我们做了什么。
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Ah ha, it goes into that accept portion, prints out a message, and goes back around the while loop to say try again. And it's going to keep doing this until I give it something that does serve as a float.
他会说输入一个浮点数，啊哈，它就到了那段处理代码,打印出消息,然后回到while循环让我们再输一次,它会持续这么做直到它接受到一个浮点数。
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I've got to test to see if I'm in the base case, and if I'm not, then I need to move a tower of size n minus 1, I need to move a tower of size 1, and I need to move a second-sorry about that a second tower of size n minus 1.
首先我看看我是不是在最基本的情况，如果不是的话，我得先做一个N-1个，圆盘的移动，移动一个圆盘,然后再做一次N-1个圆盘的移动。
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Another way of saying it is, I've actually said, what did I use there, and , It's basically saying there is the first point, there's the second point, add them together and I get that point.
我要去做的是-对不起，再运行一次-好，你可以看到我已经把，这两个点的坐标值加到一块儿了，然后返回了r的值,我会让大家看到我们，实际上得到的是什么，这看起来不错，好,我做了正确的操作。
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