So we see that I've doubled the size of the vector but I've much more than doubled the number of calls.

所以我们看到我,把向量的大小翻倍了,但是我调用的次数,不仅仅是翻倍了。

麻省理工公开课 - 计算机科学及编程导论课程节选

But I know when I multiply a vector by a number, I get a vector in the same direction.

但是我所知道的是当矢量乘以一个常数,我会得到一个同方向的矢量

耶鲁公开课 - 基础物理课程节选

to the n, every value in the 1 bit vector we looked at last time is either 0 or 1. So it's a binary n number of n bits, 2 to the n.

从2到n，我们上次看到的,位向量的每个值不是0就是,所以它是n，比特的二进制数,从2到。

麻省理工公开课 - 计算机科学及编程导论课程节选

Alright, next thing I want to do is to define the vector that plays the role of the number 0.

接下来我想做的是定义一个矢量,它相当于数字0

耶鲁公开课 - 基础物理课程节选

The beauty of that is now we have discovered a notion of what it means to multiply a vector by a number.

现在最美妙的就是我们就已经知道,数字乘以矢量的意义

耶鲁公开课 - 基础物理课程节选

You can take this vector, multiply it by one number, take that vector, multiply it by another number, add the two of them.

比如将这个矢量,乘上一个数,然后将另一个矢量,乘上另外一个数,把这两个矢量相加

耶鲁公开课 - 基础物理课程节选

So multiplying a vector by a number means stretch it by that factor.

所以用数字乘以矢量,就相当于将它伸长了相应的倍数

耶鲁公开课 - 基础物理课程节选

You should know what multiplying a vector by a number means.

你需要知道数乘矢量的意义

耶鲁公开课 - 基础物理课程节选