These sets of vectorish things, like arrows or lists of numbers or functions, are called vector spaces.

这些向量集合 如箭头 字列表或函 被称为向量空间。

What we now call functions mathematical functions, which are Continuous that is that are not formed out of a discrete sets like the counting numbers for instance Newton there were already

我们现在称之为函学函，它们连续， 也就说，它们不计字那散集合构成。 举例来说，在牛顿时代， 已经存在一些方法来解决涉及诸如求曲线下面积和曲线切线等问题， 但这些方法仅适用于某些特定且有限曲线类型。

The function that answers it is called " n choose 4" which by definition  counts the number of quadruplets from a set of size N and the way to calculate it is similar  to what we saw before.

解答这个问题函叫做“n选4”，根据定义，它计算从大小为N集合中选取四个元素方法，其计算方式与我们之前看到类似。