We will be concerned primarily with bijective proofs, i.e., showing that two sets have the same number of elements by exhibiting a bijection (one-to-one correspondence) between them.
我们主要关




证明,也就
透过
两个集合间建立
个
(

且映成
函数)来证明它们
元素个数相等。
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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
们现在称
为函数
数学函数,它们是连续
, 也就是说,它们不是由像计数数字那样

集合构成
。 举例来说,在牛顿
时代, 已经存在一些方法来
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。