| 术语 | mathematical induction |
| 释义 | mathematical induction 数学归纳法 A method of proving a statement concerning terms based on natural numbers not less than N by showing that the statement is valid for the term based on N and that, if it is valid for an arbitrary value of n that is greater than N, it is also valid for the term based on (n+1). 一种证明命题的方法:要证明命题对 于不小于N的自然数的诸项成立,只需证明命题对于N的项成立;并且若命题对于大于N的任 意值n成立,则这个命题对于(n+1)的项也成立。 |
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