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.

There are terms for various kinds of functions (or operators) such as...

associative - (a # b) # c  =  a # (b # c)
commutative - a # b  =  b # a
idempotent  - f (f (x)) = f (x)

Is there a similar name for functions that are their own inverse?

f (f (x)) = x
share|improve this question

2 Answers 2

up vote 14 down vote accepted

It is called as an involution.

share|improve this answer
    
Thanks - have to wait a few minutes before I can accept, but this is the answer. –  Steve314 Sep 27 '13 at 17:05
1  
Some examples of involutions are shown here –  Mufasa Sep 27 '13 at 17:08
    
The most trivial involution is f(x) = x. –  Tortoise Sep 27 '13 at 23:00

Such a function is called an involution.

share|improve this answer

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.