So foremen brought in high scalers who descended the cliffs on ropes, removing rubble with jackhammers and dynamite.

所以工头找来了攀登者，用绳索从悬崖垂降下去，用轻型凿岩机及炸药来清除碎石。

And you know, the scaler effects are huge.

你知道，缩放效应是巨大的。

So it's common to use the word scaler pretty much interchangeably with the word number.

scaler这个词和number这个词通常可以互换使用。

" The scalers of the Alps and conquerors of Venice" now looked across the sea for new scenes of adventure.

“阿尔卑斯山的攀爬者和威尼斯的征服者”现在跨海寻找新的冒险场景。

I want you to think about each coordinate as a scaler, meaning think about how each one stretches or squishes.

我想让你们把每个坐标看作一个标量 也就是说 想想每个坐标是如何拉伸或挤压的。

Which two dimensional vectors can you reach by altering the choices of scalers?

通过改变标量的选择可以得到哪些二维向量？

And whenever you catch a number like two or one, 3rd or negative 1.8 acting like this, scaling some vector, you call it a scaler.

当你捕捉到像2或1 3或-1 8这样的数 缩放某个向量 你称它为标量。

Now, the more linear, algebra oriented way to describe coordinates is to think of each of these numbers as a scaler, a thing that stretches or squishes vectors.

现在 更线性的 代数化的描述坐标的方法是把每一个数字看作一个标量 一个拉伸或压缩向量的东西。

So in the conception of vectors as lists of numbers, multiplying a given vector by a scaler means multiplying each one of those components by that scaler.

所以在向量作为一串数字的概念中 一个给定向量乘以一个标量意味着每一个分量都乘以这个标量。

Now, if you let both scalers range freely and consider every possible vector that you can get, there are two things that can happen for most pairs of vectors.

现在 如果你让两个标量自由变换考虑你能得到的每一个可能的向量 对于大多数向量对 有两种情况可能发生。