Involution
Revision as of 11:42, 17 January 2017 by Mtheorylord (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
.
- 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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