Search

Search for a symbol or emoji...

N-Ary Union Symbol ⋃

N-ary Union is a set operation that takes multiple sets as input and returns a new set containing elements from any of the input sets. It is a generalization of the binary union operation to an arbitrary number of sets.

Definition

The N-ary Union operation, denoted as ∪, takes N sets A1, A2, ..., AN and produces a new set containing elements that are present in at least one of the input sets. Formally, it is represented as A1 ∪ A2 ∪ ... ∪ AN.

Representation in HTML

In HTML, the N-ary Union symbol "∪" can be represented using the HTML entity ∪.

Example

Consider three sets A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}. The N-ary Union of these sets (A ∪ B ∪ C) would be {1, 2, 3, 4, 5}, as it contains all unique elements from the three sets.

Usage in Mathematics

N-ary Union is commonly used in set theory and various mathematical and computational contexts. It is employed when the goal is to combine elements from multiple sets into a single set, preserving uniqueness.

Properties

- The order in which the sets are unioned does not affect the result (commutativity). 
- The union of any set with the empty set is the set itself. 
- The union of any set with itself is the set itself.

Applications

N-ary Union is fundamental in database queries, information retrieval, and various areas of mathematics. It helps combine datasets, extract unique elements, and perform operations on diverse collections of data.

N-ary Union is a versatile set operation that allows mathematicians and computer scientists to combine elements from multiple sets. Its applications range from set theory to practical data manipulation, making it a valuable tool in various mathematical and computational domains.

N-Ary Union Symbol Information

Symbol Name
N-Ary Union
Unicode Version
1.1 (June 1993)
Unicode
U+22C3
CSS Code
\22C3
HTML Entity
⋃
Hex Code
⋃
HTML Code
⋃
Latex
\bigcup
Symbol
⋃

N-Ary Union Symbol Encoding

UTF-8
0xE2 0x8B 0x83
UTF-16
0x22C3
UTF-32
0x000022C3

N-Ary UnionSymbol's PNG and SVG files

N-Ary Union symbol png image
N-Ary Union symbol svg image

N-Ary Union Symbol in Latex

N-Ary Union
1\documentclass{article} 2\usepackage{amssymb} 3\begin{document} 4\bigcup 5\end{document}

How to add n-ary union symbol via keyboard on different Operating systems

You can type the n-ary union symbol on most modern devices with the help of following methods:

How to type n-ary union symbol on Microsoft Word

You can type the n-ary union in Microsoft Word using steps mentioned below:

  • Place your cursor in the text area where you need to insert the symbol and type 22C3
  • Without moving the cursor press keys Alt + x together
  • The original 22C3 is now transformed into ⋃

How to type n-ary union symbol on Microsoft Windows

You can type the n-ary union on Microsoft windows using following steps:

  • Hold Alt and press to type n-ary union on your windows machine.

How to type n-ary union symbol on Mac OS

You can type the n-ary union on Mac OS using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
  • Type "N-Ary Union" in the search field at the top and press Enter
  • The symbol should appear. Click on it to insert it into your text
Mac OS Character Viewer
Mac OS Character Viewer

How to type n-ary union symbol on Linux

You can type the n-ary union on Linux using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Hold ⇧ Shift + Ctrl and press the letter + U
  • Press keys 22C3 consecutively
  • And then press ↵ Enter , the desired symbol will be added to your document

How to type n-ary union symbol on IOS and Android

The easiest way to type the n-ary union symbol on ios and android is to copy and paste it wherever you need it.

How to use n-ary union in CSS

//CSS Example
1span { 2 content: \22C3; 3 }

How to use n-ary union in HTML

//HTML Example
1<span>&#8899;</span>

N-Ary Union symbol representation in programming languages

N-Ary Unionsymbol's representation in different programming languages can be found in table below:

LanguageRepresentation
Rust
\u{22C3}
Ruby
\u{22C3}
Python
\u22C3
PHP
\u{22C3}
Perl
\x{22C3}
Java
\u22C3
Modern JavaScript - Since ES6
\u{22C3}
JavaScript
\u22C3
Go
\u22C3
C#
\u22C3
C and C++
\u22C3
Bash and Zsh - inside echo -e
\u22C3
RFC 5137
\u'22C3'