"One of the things we need to start doing is to get ahead of the curve by trying to anticipate additional methods that can be used against us and closing the gaps before those gaps are exploited,"

VOA: standard.2010.01.19

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。

麻省理工公开课 - 计算机科学及编程导论课程节选

The risk tolerance curve for the tens of thousands of people that we needed to hire, you just couldn't quite get them.

由于风险承担曲线，我们需要雇佣数万名员工,但是却，雇不到。

斯坦福公开课 - 戴尔CEO-Michael.Dell谈创业和发展课程节选

If I had taken as my interpolation scheme, my white curve here, I could go to infinity and have the equivalent of absolute zero being at infinity, minus infinity.

要注意，如果我们采用，像图中白线这样的插值方案的话,我就可以一直降温下去,相应的绝对零度点。

麻省理工公开课 - 热力学与动力学课程节选

Right, I'm hoping I the grades in order, otherwise it's going to ruin my curve at the end of the year.

我希望我成绩尽量好,要不我一年的努力就白费了

耶鲁公开课 - 博弈论课程节选

That limit will be some arrow we can call the velocity at the time and it will always be tangent to the curve.

那个极限也就是一个矢量,我们称之为瞬时速度,并且它总是和轨迹相切的

耶鲁公开课 - 基础物理课程节选

The exact shape of the curve is subject to discussion, but the point of diminishing marginal utility is that, as you get more and more money, the increment in utility for each extra dollar diminishes.

这条曲线的确切形状还有待讨论,但是边际效用递减规律的重点在于,你得到的钱越多,每额外的一美元的增长效用会相对减小

耶鲁公开课 - 金融市场课程节选

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

Now we're going to compare high glycemic index foods with low glycemic index foods, and so the curve of blood sugar with high glycemic index foods, those that create an exaggerated blood sugar response over a period of time might look like this.

现在我们要对高血糖指数的食物和,低血糖指数的食物进行对比,那些高血糖指数食物所形成的曲线,那些会在某段时间内产生过高血糖的食物,所形成的曲线看起来可能就是这样的

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

So the velocity at any part of the curve is tangent to the curve at that point.

曲线上任意一点的速度,都在该点和曲线相切

耶鲁公开课 - 基础物理课程节选

Then he knows it's going to go up, it's going to curve, follow some kind of parabola, then his hands go there to receive it.

所以他就知道,这颗糖会先向上,再向下,沿着某条抛物线运动,然后他就能判断在哪里接住糖

耶鲁公开课 - 基础物理课程节选

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

At any point on the graph you can take the derivative, which will be tangent to the curve at each point, and its numerical value will be what you can call the instantaneous velocity of that point and you can take the derivative over the derivative and call it the acceleration.

在图上的任意一点,你可以进行求导,得到曲线上每一点的切线斜率,所得到的数值,即为该点处的瞬时速度,然后你再求一次导,得出它的加速度

耶鲁公开课 - 基础物理课程节选

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

耶鲁公开课 - 金融市场课程节选

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

I don't know how well you can see it in this figure here, is the slope of a straight line connecting these two points, and as the points come closer and closer, the straight line would become tangent to the curve.

我不清楚你们对于这个图像的理解,这条连接两点的斜线,随着两点距离逐渐缩小,两点连线会变成曲线的切线

耶鲁公开课 - 基础物理课程节选

Let me finish the picture here; here's my demand curve, here's my constant marginal cost at c, and I want to use this picture on the left now to figure out what the monopoly quantity is.

先把图画完,这条是需求曲线,这个是边际成本常量c,下面我们通过左边的图像,来找出垄断产量

耶鲁公开课 - 博弈论课程节选

That's not literally true. I'm going to squeeze it a bit, I'm going to curve it a bit, so actually slightly fewer than a sixth will get straight A's, and fewer than a sixth will get C's and below.

但我可能稍微压缩下分数段,我会让分数段更有弹性,实际上略少于六分之一的人会得到A,略少于六分之一会得到C

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

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