关于双重数学归纳法

On Double Mathematical Induction

本文首先指出使用双重数学归纳法的一些技巧,然后提出一种“对和归纳”的新方法,文章对所举诸例的证明,皆比引文中相应的证明大为简捷.

In this paper,a few techniques about the use of double mathematical induction are pointed out at first, and then a new methed, called 'sum induction' is advanced. The proofs for the examples gived in th-paper are much simpler then the corresponding proofs in the quotation.