Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.

最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直，你也可以用别的办法,比如一条抛物线。

麻省理工公开课 - 热力学与动力学课程节选

So let's reflect these two points.

那我们就把这两个点对称过去

耶鲁公开课 - 博弈论课程节选

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

That's a choice, and that choice turns out to be very interesting and really important, because if you connect these two points together, you get a straight line that has to intercept the x-axis at some point.

在这一选择下,我们会发现一件非常有趣，而且极其重要的事,当你把这两点用直线连接起来，你会发现这条直线,将与x轴在某点相交。

麻省理工公开课 - 热力学与动力学课程节选

So how do we reconcile, if we can, these two apparently contradictory points of view ? in these two dialogues?

如果可以，我们要如何调解这两种,存在这两本语录中的明显矛盾观点？

耶鲁公开课 - 政治哲学导论课程节选

So the concept of an absolute zero, a temperature below which you just can't go, that's directly out of the scheme here, this linear interpolation scheme with these two reference points.

这就是绝对零度，这样，从线性插值的图像出发，我们得到了绝对零度的概念，你永远无法达到,低于绝对零度的状态。

麻省理工公开课 - 热力学与动力学课程节选

These other two, primaries and higher dimensions, they're both great points.

另外两个约束条件,初选和多维度,这二者都是很有现实意义的

耶鲁公开课 - 博弈论课程节选