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Symmetric difference

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 AΔB.

Sym_complement.png
AΔB in Venn diagram

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

AΔB = A\BB\A.

It is also the set-theoretic equivalent of the XOR operation in Boolean logic.

Referenced By

List of basic discrete mathematics topics | List of mathematical topics (S-U)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Symmetric difference".

 

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