Definition:Symmetric Difference

Definition
The symmetric difference between two sets $S$ and $T$ is written $S * T$ and is defined as:

Definition 5
where:
 * $\setminus$ denotes set difference
 * $\cup$ denotes set union
 * $\cap$ denotes set intersection
 * $\overline S$ denotes the complement of $S$
 * $\oplus$ denotes the exclusive or connective.

Also known as

 * Disjoint union
 * Boolean sum

Also see

 * Equivalence of Definitions of Symmetric Difference