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Once each time. Right? I only do one swap potentially, it-- though not one potentially, each time at the end of the loop I do a swap.
每次循环做一次，对么？我其实,就可能做了一次交换，也许并不是可能，每次循环的结束我都得做一次交换。
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So I've been actually working some research in Berkley in aviation operations.
我在伯克利分校的时候就对航空操作做了一些研究。
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This is a little file I created, all right, and I'm going to start with a sequence of these things and walk them along, again I invite you to put comments on that handout so that you can follow what we're going to do. All right?
这是我创建的一个小文件，好，然后我回去以一系列这样的事情,开始然后进行下去，我还是想大家都在手册上做一些注释,这样我们就能对将要做的事情,做一个记录了，对不对？
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In this class here, we're going to stick to one kind of work which is expansion work.
推动我的粉笔,我就对它做了功。
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You add them all up algebraically, keeping track of their sign, and that's the total force.
你再对这些力做代数加法,注意符号,就求出合力了
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In the case of a tower of size 1, basically there are two things to do, right?
如果只有1个圆盘要移动，那么就只要做两件事就可以了对不对？
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Might want to multiply them together.
这样就能对它们做一些操作了。
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Delta v is going to be negative. w is going to be negative. Sorry, I got it backwards again.
这样就对外界做了功,这时候ΔV是正的。
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There is work due to gravity.
我们就说对这个物体做了功。
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