Involution
Revision as of 17:48, 27 September 2008 by Herefishyfishy1 (talk | contribs)
An involution is a function whose inverse is itself.
Examples
- The function has the inverse , which is the same function, and thus is an involution.
- The logical NOT is an involution because $\neg \neg p} \equiv p$ (Error compiling LaTeX. Unknown error_msg).
- The additive negation is an involution because .
- The multiplicative inverse is an involution because . In fact, for any , is an involution.
Properties
- An function is an involution iff it is symmetric about the line in the coordinate plane.
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