Now, suppose in fact these weren't x and y glued together, these were radius and angle glued together.

我实际也说过了,我在这里操作的是，和这两个点。

麻省理工公开课 - 计算机科学及编程导论课程节选

In that case point p 1 doesn't correspond to this point, it actually corresponds to the point of radius 2 and angle 1, which is about here.

基本上也就是说这是第一个点1,这是第二个点，把它们的值加到一起,然后我就得到了目标点，好，这听起来挺不错的。

麻省理工公开课 - 计算机科学及编程导论课程节选

I'm using the fact that when you take a cosine and change the angle inside the cosine, it doesn't care. whereas, if you go to the sine and change the angle inside the sine, it becomes minus sine.

我用了一个结论,当你使用余弦函数时,改变角度的正负,函数值不变,而对于正弦函数,改变角度的符号,则函数值也会变号

耶鲁公开课 - 基础物理课程节选

When we look at this angular part, we see that it's always the square root of 1 over 4 pi, it doesn't matter what the angle is, it's not dependent on the angle.

当我们看这角向部分，可以看到它总是等于１除以４pai开根号，这和是什么角度没有关系，它和角度无关。

麻省理工公开课 - 化学原理课程节选

t be automatic for him to just walk around to the other side and have different shape and angle and then just obviously know that it the same.

但是，他并非在转到另一边去看，But，is，won’,看到不同的形状和角度之后,就会自动自然而然地判断出是同一个人。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选

As t increases, this angle increases and the particle goes round and round.

随着 t 的增加,这个角度也在增大,这个质点不停地转圈

耶鲁公开课 - 基础物理课程节选