That turns out to be a very nice way to produce vectors, given one vector, the position vector.

这或许是一个得到矢量的很不错的方法,给你一个位置矢量

耶鲁公开课 - 基础物理课程节选

So, basically what he's showing in these cubes is that there are eight spaces that need to be filled up to have a full cube.

因此，基本上他在这里展示是这些立方体中一共有,八个位置，需要把它们都填满才得到一个完整的立方体。

麻省理工公开课 - 化学原理课程节选

Now, a little later, and a little later later, because between the first and second, you get a velocity, the second and third you get another velocity.

现在,再晚一点,再再晚一点,因为第一个和第二个位置,你得到一个速度,第二个和第三个位置,你得到另一个速度

耶鲁公开课 - 基础物理课程节选

I'm going to go there initially, so I can move this over here, so I can get the base part of that over there, I want to put that one there before I put this over here, finally I get to the point where I can move the bottom one over now I've got to be really careful to make sure that I don't cover up the bottom one in the wrong way before I get to the stage where I wish they were posts and there you go.

我要先把其他的放到多余的柱子上，然后把最底下的放到目标柱子上，我要在把除了最底下的圆盘，其他的圆盘挪过来之前,把最下面的圆盘放在这儿,因此我得出了最下面的盘子,应该如何摆放的结论,当我没得到其他盘子的正确摆放位置的时候,要很小心的确认没把错误的盘子,放在最下面的盘子上面。

麻省理工公开课 - 计算机科学及编程导论课程节选

It gives you the new location.

然后就得到一个新的位置

耶鲁公开课 - 基础物理课程节选

It says find the midpoint, which says, last take the start, which is pointing to that place and add it to start. And that basically, somewhere about here, gives me the midpoint.

先找到中点，从起点开始，指向这个位置，用first减去,加上得到偏移量），大概在这里，我们找到了终点。

麻省理工公开课 - 计算机科学及编程导论课程节选