Definition:Symmetric Difference/Also known as
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Symmetric Difference: Also known as
The symmetric difference between two sets is also known as their:
However, both terms have different or more specialized meanings on $\mathsf{Pr} \infty \mathsf{fWiki}$, so will not be used here.
Another term seen occasionally is symmetric sum.
Some sources are pedantically explicit and use the term symmetric difference set.
Sources
- 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 5$: Complements and Powers
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): Chapter $1$. Sets: Exercise $7$
- 1970: B. Hartley and T.O. Hawkes: Rings, Modules and Linear Algebra ... (previous) ... (next): Chapter $1$: Rings - Definitions and Examples: $2$: Some examples of rings: Ring Example $6$
- 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 1$. Sets; inclusion; intersection; union; complementation; number systems: Exercise $14$