I draw a graph here of the amount by which I pull the spring versus the force it exerts.

我在这里画个图,纵轴是弹簧的拉伸量,横轴是力的大小

耶鲁公开课 - 基础物理课程节选

Now as I did last time, let me put in two axes to make the picture a little easier to draw.

和我上次做的一样,画两个纵轴来帮助我们作图

耶鲁公开课 - 博弈论课程节选

For example, I don't have more space to write, if this is time and this is earnings-- if your earnings were,say, flat and suddenly increased like that, they wouldn't believe this increase at first, so the board would decide to adjust only, say, half way up.

例如,没地方写了,横轴是时间,纵轴是收益,如果你的收益,一直平稳,突然间提高,他们刚开始不敢相信这种增长,董事们决定只小幅增加,如增到一半

耶鲁公开课 - 金融市场课程节选

Well,if you go back to the formation of musical notation from the ninth through the twelfth centuries we see that very early on these two dimensions of music the two axes of music that we talked about before pitch vertically and duration horizontally, are in place and we have these spots in this grid.

回顾一下从公元九世纪至二十世纪,音乐记谱法的历史形成过程,我们可以看出,音乐的两个维度,就是我们之前提到的音乐的两个轴,纵轴是音高,横轴是时值,在早期已经存在了,我们在这样的网格上用点记录

耶鲁公开课 - 聆听音乐课程节选

On the vertical axis I'll put two vertical axes in, just for the sake of things on the vertical axis I'll put my expected payoffs.

坐标系的纵轴,由于种种原因,我花了两个纵轴,纵轴表示我的预期收益

耶鲁公开课 - 博弈论课程节选

Excuse me. So what I'm going to do is, let's draw a picture that has S1 on the horizontal axis and S2 on the vertical axis.

好了,我们接下来来绘制图像,S1是横轴,S2是纵轴

耶鲁公开课 - 博弈论课程节选