Quickly find the symmetric difference between two sets (A Δ B) using our online calculator. Understand how to identify elements unique to set A or set B, excluding their common elements. Perfect for students and professionals in set theory and computer science.
Formula:
The symmetric difference of two sets A and B, denoted as A Δ B (or A ⊖ B), is the set of elements which are in either A or B, but not in their intersection. In other words, elements unique to A or unique to B.
Formula: A Δ B = (A \ B) ∪ (B \ A)
Alternatively: A Δ B = (A ∪ B) \ (A ∩ B)
- A: Set A
- B: Set B
- \: Set Difference (elements in the first set but not the second)
- ∪: Union (all elements from both sets)
- ∩: Intersection (elements common to both sets)