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A triangle between two sets, taking what is in one but not both.
Also known as: Symmetric set difference, Disjunctive union, Set XOR
The symmetric difference collects everything in either set except what they share. It is the set-theoretic form of exclusive or, and the same triangle is used in analysis for an increment, so the operands rather than the character tell a reader which is meant.
Denotes the elements belonging to exactly one of two sets — their union with their intersection removed.
Contexts: Mathematics
Corresponds exactly to exclusive or on membership, which is why it is written with the same triangle used for XOR in some logical texts.
Contexts: Mathematics
An upward-pointing triangle with equal sides and an open interior, standing between two named sets.