I should be able to do nice bell-shaped curves, but it's harder than it looks standing up here; so that's your bell-shaped curve.

我还是挺擅长画钟型曲线的,但站着画真的不太容易,这就是钟型曲线

耶鲁公开课 - 金融市场课程节选

This is the most famous bell-shaped curve, but there are other ones with different mathematics.

正态分布是最著名的钟形曲线,但仍有其他表达式下的钟形曲线

耶鲁公开课 - 金融市场课程节选

But it turns out that if you make the voters distributed more realistically, let's say like on a bell-curve shape, it makes actually no difference to the result at all.

但事实上,就算我们让选民分布更符合实际情况,比如说是按钟形分布的,但这实际上对结果没有什么影响

耶鲁公开课 - 博弈论课程节选

So, if we look at this graph where what we're charting is the internuclear distance, so the distance between these two hydrogen atoms, as a function of energy, -- what we are going to see is a curve that looks like this -- this is the general curve that you'll see for any covalent bond, and we'll explain where that comes from in a minute.

因此，如果我们来看一看这幅曲线图,这里我们画的横坐标是核间距，也就是这两个氢原子之间的距离，纵坐标是能量，我们看到的这是能量关于核间距的曲线-,这是一条普遍的曲线，在研究任何共价键时你都会遇到，我们马上就会解释一下它是怎么来的。

麻省理工公开课 - 化学原理课程节选

If it's a reversible process, we know the work is the area under the curve.

对可逆过程，功等于p-V图上。

麻省理工公开课 - 热力学与动力学课程节选

If you run these curves only on non-smokers you get rid of that J at the end of the curve and you get pretty much a function that's to the right of the curve here.

如果仅在不吸烟人群中做统计,那么左末端就不会出现J形曲线,而是会得到一条,从左到右逐渐上升的完美的函数曲线

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

It's a bell-shaped curve that looks about like that.

大概就是一条这样的钟形曲线

耶鲁公开课 - 金融市场课程节选

So the normal--the bell-shaped curve in that case for the x/n is going to look something like this.

那么x/n的钟形曲线,大概就会是这个样子

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As we know, this line here has twice the slope of the original line of the demand curve, so the slope of this thing is -2b.

我们都知道了,这条线的斜率,是需求曲线斜率的2倍,也就是说它的斜率是-2b

耶鲁公开课 - 博弈论课程节选

Then, if n = 100--now I'm going to label this x differently, I'm now going to show the normal bell-shaped curve and I'm going to do this from 0 to .4.

如果n=100,现在我得重新标x值,我现在要画正态分布的钟形曲线了,在这儿用0到0.4

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Irving Fisher also drew on the curve a production possibility frontier for society, which he made downward-curved.

欧文·费雪还画了一条曲线,代表了社会的生产可能性边界PPF,这是一条向下的曲线

耶鲁公开课 - 金融市场课程节选

That's a bell-shaped curve, but it's centered exactly on .2.

这是条钟形曲线,它关于x=0.2对称

耶鲁公开课 - 金融市场课程节选

People have referred to this as a J shaped curve with this little up tick in the left hand side and people--some people have sort of said, well maybe it's not so bad to be overweight because it's not so good to be underweight as well and that's a problem.

人们把这称为J形曲线,最左边有一个向上的弯钩,因此就有人说,也许超重也不一定就是一件坏事,因为体重过轻也不是什么好事,这是个问题

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选