Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I asked a question about operations and one comment puzzled me.

Given a binary operation $\ast$ on integers at least $2$, define $\ast'$ by $$m\ast' n = \overbrace{m\ast m\ast \cdots \ast m}^{n\text{ times}}.$$

Example :

  • if $*$ is $+$ , $*'$ is $×$. Multiplications are a lot of additions.

  • if $*$ is $×$ , $*'$ is $^$. Exponential are a lot of additions.

The question is what's $*'$ when $*$ is $+$ ?

Additions are a lot of... what ?

share|improve this question
Successor operations. But the successor operation is a unary operation. –  Daniel Fischer Sep 14 '13 at 19:29
So in a sense "successor operatioans" is right, but it doesn't answer the question since it's a unary operation. –  Michael Hardy Sep 14 '13 at 20:09
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.