So, I don't even have to worry because you're not writing this down, so I can just fix it when I post the notes and no one will ever know, except that this is not OpenCourseWare.
所以我甚至不用担心,因为你们不会把这个写下来,所以我可以在我给出讲义的时候再修改,而且不会有人知道,但除非这不是公开课。
And it's just gathering together the multiplications while counting down the exponent. And you can see it when we get down to the end test here, we're going to pop out of there and we're going to return the answer.
这个方法就是通过乘法,来一个一个的减小指数,可以看到,最后面的结果测试,我们会在这里退出,然后返回答案。
Just take a look: if this is 9, 5 divided by 9 is always going to be 0 point something, and if you thus have two integers and you're rounding down, which is what happens when you do integral math we're using this operator, I'm going to get zero times whatever.
稍微看一看:如果这是9,5除以9会得到,0点几,如果你用两个整型数,你舍去小数,这就是当你们,用整型数使用这个操作的所发生的事情,我将得到数值0乘以任何一个数字。
Or a football player--when you're running down the field, why did you go to this way instead of that way ? when you're running down the field?
或者是问一个橄榄球运动员--当你在操场上奔跑时,你为什么要往这边跑而不是那边呢,当你在操场上跑的时候?
These are going to be fairly common-sense definitions, but they're important, and when you get to a problem set, really nailing down what the system is, not more, nor less, in terms of the amount of stuff, that's part of the system, it's going to be often very crucial.
这些是,很常识性的定义,但是很重要,当你要解决问题时,务必要搞清楚系统是什么,它包含多少物质,不能多也不能少,这往往,是非常重要的。
You see the lactose of course from milk, and then when you get down to the cellulose, and we're talking about starches and then fiber gets involved in here too, then cereals and vegetables become the primary source of these.
你们知道乳糖来自于乳类,当你研究纤维素的时候,以及我们在这里所说的淀粉和纤维,他们最主要的来源是谷类和蔬菜
He also had the idea that he would make it narrow enough so that when you're boarding an airplane you can still roll it down the aisle of the airplane-- it just fit perfectly.
他还想到要将把手弄的窄一点,以便登机进通道的时候,还能拖着箱子走-,这非常符合当时的需要。
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