The symmetric difference A△B=(A∖B)∪(B∖A) contains the elements belonging to exactly one of the two sets.
Two sets differ by finite symmetric difference when only finitely many points belong to exactly one of them. This is an equivalence relation, since A△C⊆(A△B)∪(B△C).
Ancestors (6)
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- Augmenting path in a matching
- Balanced cut-vector distance formula
- Boolean operations on events
- Defining contrast subgroup
- Equivalence of partial functions modulo finite changes
- Factorial contrast
- Finite-symmetric-difference parity colouring
- Infinite-arity partition relation
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The symmetric difference of two sets is a concept in set theory that represents the elements that are in either of the sets but not in their intersection. In simpler terms, it includes the elements that are unique to each set.