Definition:Symmetric Difference/Definition 4

Definition
The symmetric difference between two sets $S$ and $T$ is written $S * T$ and is defined as:
 * $S * T = \left({S \cup T}\right) \cap \left({\overline S \cup \overline T}\right)$

where:
 * $\cap$ denotes set intersection
 * $\cup$ denotes set union
 * $\overline S$ denotes the complement of $S$.

Also see

 * Equivalence of Definitions of Symmetric Difference