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, ..., A_N 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 ∪ ... ∪ A_N.

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.

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N-Ary Union Symbol Information

Symbol Name	N-Ary Union
Unicode Version	1.1 (June 1993)
Unicode	U+22C3
CSS Code	\22C3
HTML Entity	&xcup;

Hex Code	⋃
HTML Code	⋃
Latex	\bigcup

N-Ary Union Symbol Encoding

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

N-Ary Union PNG and SVG files
How to type n-ary union in latex
How to type n-ary union on Microsoft Word
How to type n-ary union on Microsoft Windows
How to type n-ary union on Mac OS
How to type n-ary union on Linux
How to type n-ary union on IOS and Android
How to use n-ary union in CSS
How to use n-ary union in HTML
N-Ary Union representation in programming languages

N-Ary Union symbol's PNG and SVG files

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PNG

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SVG

How to type n-ary union symbol in latex

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\documentclass{article}

\usepackage{amssymb}

\begin{document}

\bigcup

\end{document}

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

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

Place your cursor in the text area where you need to insert the symbol and type 2 2 C 3
Without moving the cursor press keys Alt + x together
The original 2 2 C 3 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

How to type n-ary union symbol on Mac OS

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 2 2 C 3 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 on ios and android is to copy and paste it wherever you need it.

How to use n-ary union in CSS

Copy // css example


                                            span {

                                            content: "\22C3";

                                        }

How to type n-ary union in HTML

Copy // html example


                                            <span>&#8899;</span>

N-Ary Union symbol representation in programming languages

n-ary union's representation in different programming languages can be found in table below:

Language	Representation
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'