Articles

New Proof for Continual Induction and Its Application

  • LI Tao;ZHANG Jingzhong
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  • 1. College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;2. Institute of Educational Software, Guangzhou University, Guangzhou 510006, China

Received date: 2012-04-28

  Revised date: 2012-05-22

  Online published: 2012-06-18

Abstract

The continual induction for the real number is very similar to the mathematical induction for the natural number, the induction is equivalent to the Dedekind axiom, and could be widely used in the calculus research. Firstly, a novel proof for the continual induction is presented; the proof is more acceptable than the former. And then, some discussions on its applications are made, it gives some meaningful advices to the higher mathematics teaching. The continual induction could also be used in the mechanization research on analytical reasoning.

Cite this article

LI Tao;ZHANG Jingzhong . New Proof for Continual Induction and Its Application[J]. Science & Technology Review, 2012 , 30(17) : 54 -55 . DOI: 10.3981/j.issn.1000-7857.2012.17.008

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