Vectors, sets, diagram, power set
Membership table, diagram, power set
How to enter expressions and sets
| Operation | How to enter |
|---|---|
| complement (overline) | ~A ¬A !A A' not A · over an expression: ~(A ∪ B) |
| intersection | A ∩ B A & B A * B A and B |
| union | A ∪ B A | B A + B A or B |
| difference | A \ B A - B |
| symmetric difference | A Δ B A ^ B A xor B A ⊕ B |
| universe, empty set | U 1 · ∅ {} 0 |
| sets | one capital Latin letter: A B C D … (except U) |
Precedence from strongest to weakest: ‾ (complement), ∩, ∪, \, Δ; equal operations are applied left to right. For example, A ∩ B \ C reads as (A ∩ B) \ C, A ∪ B \ C as (A ∪ B) \ C, and A Δ B \ C as A Δ (B \ C).
Other sources may define precedence differently; where a notation without parentheses allows two readings, the app computes what was entered; use parentheses to fix the reading you need.
Set elements: numbers or words separated by commas or spaces, e.g. 1, 2, 3 or 1 2 3; a range 1..10 or 1-10; the empty set is ∅ or {}. All elements must belong to U; an empty field means the set is not given.