⊎

Math Operator 139

Unicode
U+228E
Category
Math
HTML Entity
⊎
CSS
\228E
The ⊎ symbol, known as the Multiset Union, is used in discrete mathematics to combine multisets (often called 'bags'). Unlike a standard set union (∪) that eliminates duplicates, a multiset union adds the occurrences of identical elements together. Visually, it combines the classic union 'cup' shape with a plus sign to clearly represent this additive property.

How to Type

Windows
Type 228E then Alt+X in Microsoft Word, or use Character Map
macOS
Control+Command+Space, then search 'multiset union'
Linux
Ctrl+Shift+U then 228e
HTML
⊎ or ⊎

In Programming

In technical documentation and LaTeX, this symbol is generated using the \uplus command and frequently appears in computer science algorithms dealing with multiset or bag data structures.

Read full meaning article

Tags

LaTeX \uplus U+228E additive union bag union coproduct cup plus disjoint sum disjoint union mathematics multiset union multiset union copy paste plus set theory unicode math symbol

Related Symbols

± Plus Minus Sign × Multiplication Sign ÷ Division Sign ≠ Not Equal To ≈ Approximately Equal To ∞ Infinity √ Square Root ∑ Summation ∫ Integral π Pi ≤ Less Than or Equal To ≥ Greater Than or Equal To