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But, of course, we want to go all the way to distance, so we take the second derivative and we have this equation for force here.
当然我们最后想要的是距离,所以我们取二阶微,分就有这个式子。
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In binary search-- ah, there's that wonderful phrase, this is called a version of binary search just like you saw bin-- or bi-section methods, - when we were doing numerical things- in binary search, I need to keep track of the starting point and the ending point of the list I'm looking at.
就是当我们处理数字的时候，所称的二分检索，在二分法搜索中,我需要记录区间的开始点和尾点，初始化的时候就是-,问题输入的开始点和尾点，当我开始做测试的时候,我想要做的就是去取中值点。
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And there were cases where Bretons tried to name their children Breton names and the French State said, uh-uh,pas possible, because it wasn't officially French.
还有一些布里多尼人,想要给他们的孩子取布里多尼的名字,但是法国政府说,想都别想,这并非官方法语
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We'll give a name to that transport cost.
我们要给交通成本取个名字
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But we might then wonder, for every person who gets less than the average amount of life-- suppose we take the median, take the amount of life that's exactly, 50 percent of the people get more, 50 percent of the people get less.
但是接着我们可能会想，对于所有活得比平均寿命要短的人-,假设我们取中间数，相对于平均寿命，刚好五成的人活得更长，五成的人活得更短。
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So, if we take h 2, and we want to draw the electron configuration, it's very short.
如果我们取h2，我们要画电子构型，这很简单。
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Hmm. Well, wait a minute. If I want to sort a list, I'll take one element, I've got to look at probably a lot of the other elements in the list in order to decide where it goes. And that suggests it's going to depend on how long the list is.
我会取一个元素，然后去查看列表,来决定要把那个元素放到哪里,这就意味着它依赖于列表的长度,对，这没什么说服力，但是事实上。
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It depends on n and k but obviously as n gets big, that one is going to be better.
但是很明显，当n取很大的值的时候,前者要比后者好。
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I going to come back in a second to how it actually does that, but it basically says, get me x value for p 1, get me the x value for p 2, compare them, just as you would normally.
是一个类的实例,我要去取的这个实例，所关联的x值，我稍后会讲讲实际上，这里是怎么实现的，但是基本上它的意思就是，给我p1的x值。
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So, in particular, what we're going to do to find out what quantity q1 maximizes this profits for each choice of q2.
所以我们要算出来在不同的q2下,q1取什么值才能最大化利润
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