fsymbols
Loading symbols…
››
⊌

multiset

Multiset

⊌ marks a multiset: a collection that tracks how many times each item occurs. In a formula, repeated items can stay distinct by count; the surrounding notation supplies the exact operation. ⊎ is the specifically named multiset-union operator.

Text symbol
Also called
bag notation
Search it as
multiset symbol · multiset notation duplicates · multiset union · ⊌ vs ⊎
Shows up in
Anything that takes text · its shape is whatever your font draws

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

1

Questions people ask

1

Why 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 ⊌

Windows (Word)
Alt+XType 228C, then Alt+X to get ⊌.
Windows
Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).
macOS
Control+Command+SpaceOpen the character viewer and search “multiset”.
Linux
Ctrl+Shift+UType 228c, then Enter or Space.
HTML
⊌
CSS
\228C
Codes and encoding1 code points
HTML decimal
⊌
HTML hex
⊌
CSS content
content: "\228C";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8A%8C
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols