What ⊌ means
Multiset notation keeps duplicates as counts.
For example, {a, a, b} contains two copies of a and one of b; an ordinary set treats it the same as {a, b}.
Read ⊌ according to the surrounding formula: it marks a multiset but does not by itself specify a particular operation.
The multiset idea extends set theory
A multiset is set-like, with an added count for each element. Older set notation already used ∪ and ∩ for union and intersection; Peano used those marks in 1888. That is background to set notation, not evidence that ⊌ descends from either mark.
Specialist mathematical notation; its role is clearest inside a formula.
For multiset union, ⊎ is the named operator; ⊌ alone does not specify union.
Don't confuse it with
1Questions people ask
1Why does ⊌ show as a box on some devices?
Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.
How to type ⊌
⊌\228CCodes and encoding1 code points
A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.
