In mathematics, the

**symmetric difference**of two sets

*A*and

*B*is the set of elements which are in one of either set, but not in both. The most common notation used for symmetric difference is

*A*Δ

*B*.

The symmetic difference is equivalent to the union of both complementss, that is:

*A*Δ*B*=*A*\\*B*∪*B*\\*A*.