HTML | Meaning | |
---|---|---|
∪ |
∪ ∪ U+222A |
Union Symbol The Union Symbol, denoted as ∪, represents the mathematical concept of union, which is the set containing all distinct elements from two or more sets. |
∩ |
∩ ∩ U+2229 |
Intersection Symbol Represents the mathematical concept of intersection, which is the set containing all elements common to two or more sets. |
⊇ |
⊇ ⊇ U+2287 |
Superset or Equal To Symbol Indicates that one set is a superset of, or equal to, another set. |
⊆ |
⊆ ⊆ U+2286 |
Subset Symbol Indicates that one set is a subset of another. |
⊃ |
⊃ ⊃ U+2283 |
Superset Symbol Indicates that one set is a superset of another. |
⊂ |
⊂ ⊂ U+2282 |
Proper Subset Symbol Indicates that one set is a proper subset of another. |
= |
= U+3D |
Equal Symbol Represents equality between two sets or mathematical expressions. |
≠ |
≠ ≠ U+2260 |
Not Equal To Represents inequality between two sets or expressions. |
∅ |
∅ ∅ U+2205 |
Empty Set Symbol Represents a set with no elements. |
What is the Union Symbol?
The Union Symbol, symbolized by ∪, is used in set theory to denote the union of two or more sets. A union contains all distinct elements from all the sets under consideration.
Applications of the Union Symbol in Various Fields
The Union Symbol (∪) has applications in multiple disciplines:
- Mathematics: Widely used in set theory, algebra, and other mathematical contexts.
- Computer Science: Employed in algorithms and data structures like linked lists and arrays.
- Statistics: Used to represent the likelihood of any event from multiple possible events occurring.
- Engineering: Utilized in systems theory and control theory.
Differences Between Union and Intersection
While both the Union Symbol (∪) and the Intersection Symbol (∩) are used to combine sets, they do so in different ways. Union represents the combination of all distinct elements from the sets involved, whereas intersection represents only the elements that are common to all sets.
How to Type the Union Symbol Using Keyboard Shortcuts, Alt Codes, and LaTeX
- Windows: Hold down the Alt key and type
238
on the numeric keypad, then release the Alt key. - Mac: Press Option + v.
- Linux: Press Ctrl + Shift + u, then type
222A
and press Enter. - HTML: Use the named entity
∪
or the numeric entity∪
. - LaTeX: To type the Union Symbol in LaTeX, use the command
\cup
.