And a lot less sneaky.

而且光明正大得多

It's science, Gabrielle.

这是科学 加布丽尔

you get a vector two times as long.

你就得到一个两倍长的矢量

if you multiply it by 2.6,

如果用2.6乘以它

working as farm laborers on the holdings of bigger tenants.

他们在那些农场里干体力活

but the proportions of the rural population that fell into

但是各种群体在农村人口所占的比例

but it's not going to turn out to be quite so convincing.

但也不会一直那么让你们信服

sophisticated thing.

更加复杂的模型吧

They're a generalization of numbers.

四元数将数字更进一步推广

Then we went from complex numbers to things called quaternions.

随后我们从复数推广到了四元数

there are people, there are philosophers,

有一些人 一些哲学家

You might say that optimists

乐观主义者认为