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Said a different way, in the case of the straight-line programs, how long would it take to run a program?
换种说法，在直线式程序里面，运行一个程序要多长时间？
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It may not be as the crow flies and may be long way around,
它可能不是直线最短距离，可能绕得很远，
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And you don't get a complete straight line but you get an interesting function that suggest that there's a relationship.
你不会得到一条完整的直线,但会得到一个有趣的函数,表明他们之间的某种关系
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If I have Avogadro number of these things in a long line, you can bet it is going to be a solid.
如果在一条直线上,这些东西有阿伏伽德罗常数那么多，你肯定会说它是固体。
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And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.
我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点，然后用一条曲线对它进行拟合，然后用这条曲线来预测未来的点,最后却发现结果完全不对。
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So the knight, far from going on a straight course, surprises you.
所以马，不像其他走直线的棋子，它会给你出其不意的惊喜。
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Can't my mind take off from there and push straight ahead to the idea of the perfectly straight, even if I never have encountered it before?
即使我之前没有直接碰到过,难道我的心灵不能借此来推断出,完美的直线是什么样子的吗
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So it doesn't really matter, but that's actually the equation of that line.
这个并不是极其重要,但这是该直线的方程
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Everybody knows the water would continue in a straight line, suggesting that when you have experience that helps you out, but in absence of experience you're kind of lost.
所有人都知道水会继续沿直线喷出,这说明经验能够帮助你正确解决问题,但缺乏经验会使你感到困惑
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Let's draw a line through a scatter of points here.
我们来画一条切合散点的直线
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It is an example of what I call the imperialism of the straight line, where you have large boulevards that you can march armies down to, reviewing stands and all of that, totally different than Moscow.
我所称的帝国主义直线型风格的范本,有足以让军队列队通过的宽阔的林荫大道,还有阅兵台之类的设计,这些和莫斯科太不一样了
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If it were linear, which 32% of you seem have thought, that would have meant that our Lewis structure had no lone pairs in it, right, and that's not the case.
如果是直线，就像32%的同学认为的那样，这意味着Lewis结构里没有孤对,对吧，这是不可能的。
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Great. So now we have this ideal gas thermometer, and out of this ideal gas thermometer, also comes out the ideal gas law.
好，现在我们有了理想气体温度计,由此还可以引出理想气体定律，我们可以得到这条，插值出的直线的斜率。
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Taking the problem, recognizing that you know what, 8 even though this is a pretty big problem size 8 in this case and last time it was size 8 or in the case of the papers in size of a thousand roughly with the phonebook, I assume these are in a perfectly straight line they won't quite fit.
以这个问题为例，你们要认识到，在这种情况下，这是个比较大的问题，其大小是,上次它的大小也是8，但在纸片那个问题中,电话簿的规模大概是上千的，现在假设这些,杯子完全在同一条直线上，虽然并不十分符合这个条件。
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Portion sizes, and we'll devote a class to this later on, have gone way up and that's a big problem, the amount of processing I mentioned.
食物份量直线上升,这是个问题,我们将专门用一堂课讲这个,即刚才提到的食品加工程度的问题
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The lines will get shallower and eventually become horizontal and vertical respectively.
直线会变得更平缓,最后会分别变成水平和垂直两种情况
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Press your lips together with the corners straight or down.
把嘴唇并在一起，嘴角成一条直线，向下。
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So in between, this is just a straight line.
两点之间就是一条直线
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One question is this: Is it really true that in order to think about the perfectly straight, I must have somehow, somewhere at some point come up against, had direct knowledge of, the perfectly straight?
一个问题是,难道真的说,为了想象一条完美的直线,我必须,在某处直接碰到,并直接了解一条完美的直线吗
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It's a straight line, thank you.
是条直线,谢谢你的回答
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is the slope of this line.
就是这条直线的斜率
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This point here then is the present value of your income; it's Y today + / .
直线与x轴的交点表示收入的现值,它等于
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The concept of regression goes back to the mathematician Gauss, who talked about fitting a line through a scatter of points.
回归这个概念要追溯到数学家高斯,讨论的是从若干散点中切合出一条直线
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And if we do, in fact, hit it with light to get the electrons off, it will go back to the straight up in position, or if it gets knocked hard enough it does that, too.
而且如果我们这么做，事实上，用光轰击它以逐出电子，它就会在原位置沿直线返回，或者如果它被撞击的足够猛烈,也会出现上述现象。
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This is boring. In fact, you can do some nice things to prove what is the class of functions you can compute with straight-line programs, and what you'd see if you did that is, it's not particularly interesting.
这很无聊，实际上，你可以通过做一些很有趣的事情,来证明你可以通过直线程序,来做很多功能，但是你也看到我们之前讲过的了，这不太有趣。
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Any genuinely new trend is a knight's move. I just remind you, in chess the knight doesn't move in a straight line.
所以，任何新趋势都是迂回前进，我只是提醒大家一下，在国际象棋中马是不走直线的。
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I'm assuming you're taking it on faith that it is a straight line in between, but it is.
我假设大家都认为它是直线了,但这确实是条直线
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To get the best fitting line, you find the line that minimizes the sum of squared distances.
要找到最切合的直线,就是要使,这些距离的平方和最小
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So you can think of it, if we were to just think of it as a straight line that we were going across, essentially what we're saying is that we're getting from point a to point c without ever getting through point b.
你们可以来想想看，如我我们把它想成是一条直线,我们要沿着这条线经过，这就是说我们要从ａ点,不经过ｂ点而到ｃ点。
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It starts out in a straight line and then it hops off on a diagonal.
马以直线出发但必须飞对角线。
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