N-ary Intersection Symbol
⋂ denotes an intersection over multiple sets in mathematical notation.
U+22C2
The symbol ⋂ is used to express an intersection that involves more than two sets. It’s common in set theory, logic, and formal writing. Use it when you want a “shared elements of many sets” meaning.
N-ary Intersection Symbol Meaning
⋂ is the N-ary intersection symbol, used to indicate the intersection of multiple sets (more than two). In set theory, it typically means “the elements that belong to every set in the collection.” You’ll often see it with an index, such as an intersection over i from 1 to n, where each term is a set. Because it’s an established Unicode symbol (U+22C2), it can be used reliably in text editors, web pages, and programming contexts. In practice, it helps keep mathematical expressions compact and readable when working with many sets at once.
Common uses
- •Writing set theory statements like “x belongs to the intersection of all A_i”.
- •Formatting math for notes, papers, and homework that use indexed families of sets.
- •Indicating common elements in probability or logic discussions involving multiple events/conditions.
- •Labeling or describing intersection operations in technical documentation and tutorials.
- •Creating reusable symbols in templates for math-heavy content (LaTeX-like notation, equations, posts).
Examples
⋂ N-ary Intersection Symbol
- ⋂x ∈ ⋂_{i=1}^{n} A_i
- ⋂⋂_{k} B_k represents elements shared by all B_k
- ⋂S = ⋂_{m=1}^{M} C_m
- ⋂A ∩ B ∩ C can be written as ⋂_{i=1}^{3} A_i
- ⋂The solution set is ⋂_{j∈J} D_j
Variations
Ready to copy
Technical codes
| Unicode | U+22C2 | |
| HTML Entity | ⋂ | |
| HTML Code | ⋂ | |
| CSS | \22C2 | |
| Alt Code | Alt + 8898 | |
| Decimal | 8898 |
How to type N-ary Intersection Symbol (⋂)
On Windows
Hold Alt and type 8898 on the numeric keypad. In Word, type 22C2 then press Alt + X.
On Mac
Switch to the Unicode Hex Input keyboard, then hold Option and type 22C2. Or press Control + Command + Space and search.
On Linux
Press Control + Shift + U, type 22c2, then press Enter or Space.
Anywhere
Copy ⋂ with the button above and paste it wherever you need it — this works on every device and in every app, with no keyboard shortcut to remember.
FAQ
What does the ⋂ symbol mean in math?
It denotes an N-ary intersection: the set of elements common to every set in a collection.
How do I type or insert ⋂ on the web?
You can use the Unicode character directly, or insert the HTML entity ⋂ (U+22C2).
Is ⋂ the same as the standard intersection symbol ∩?
They’re related: ∩ typically shows intersection of two sets, while ⋂ is used for intersection over multiple sets (N-ary).
Can I use ⋂ in programming code?
Yes. Unicode escapes such as \\22C2 (CSS escape) and \\u{22C2} (JavaScript escape) can be used depending on your environment.