All right. The rules, though, are, they can only move one disk at a time, and they can never cover up a smaller disk with a larger disk. OK. Otherwise you'd just move the whole darn stack, OK?
好,规则是,他们只能一次挪动一个盘子,并且不能把大盘子放在小盘子上,不这样的话你就直接,把这一堆盘子都挪过来了对不对?
In order to communicate better about fear or not liking something.
这样你就可以更好地表达恐惧或者对某事的厌恶了。
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?
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。
So I differentiated this object, this is my first derivative and I set it equal to 0 Now in a second I'm going to work with that, but I want to make sure i'm going to find a maximum and not a minimum, so how do I make sure I'm finding a maximum and not a minimum?
这样我就对它求出导数了,这是一阶导数,令它等于0,一会我们就要计算了,但我先确定一下是最大值还是最小值,我怎么确定是最大值还是最小值呢
That's right. The minus is only up there.
这样就对了,只有那里有负号
I didn't have anything in there that says, if you change one of these values, other values depend on it, and I want to make that change to it.
这样就对了,因为我在代码里面,没有任何的东西说,如果我改变了其中的一个值。
We saw some quadratic algorithms, typically those are things with multiple nested loops, or iterative or recursive calls, where you're doing, say, a linear amount of time but you're doing it a linear number of times and so it becomes quadratic, and you'll see other polynomial kinds of algorithms.
我们看过一些平方算法,他们一般进行了多次嵌套循环,或者递归迭代调用,对一个线性操作调用线性次,这样就变成平方次了,以后你们能看到,一些多项式算法。
Might want to multiply them together.
这样就能对它们做一些操作了。
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