Multiset Symbol ⊌
In mathematics, a multiset is a generalization of the concept of a set that allows multiple instances of the same element. Unlike a set, which contains distinct elements, a multiset can have repeated elements, each with a specified multiplicity or count.
Definition
A multiset, sometimes referred to as a bag or a counted set, is an unordered collection of elements where repetition is allowed. Each element in a multiset is associated with a multiplicity, indicating the number of times that element appears in the multiset.
Representation in HTML
In mathematical notation, a multiset is often represented using curly braces with elements and their multiplicities, such as {a, a, b, c} where 'a' appears twice. There is no standard HTML entity for the multiset notation, so it is usually represented using plain text or other notations.
Usage in Mathematics
Multisets find applications in various mathematical and computational areas. They are used in combinatorics, probability theory, and algorithms where counting the occurrences of elements is essential. Multisets are also employed in data structures to represent collections allowing duplicates.
Example
Consider the multiset {apple, apple, banana, orange, banana}. In this multiset, 'apple' appears twice, 'banana' appears twice, and 'orange' appears once. The elements are not ordered, and the multiplicity of each element is explicitly shown.
Operations on Multisets
Various operations can be performed on multisets, including union, intersection, and difference. The union of two multisets includes all unique elements with their maximum multiplicities from both multisets. The intersection includes all unique elements with their minimum multiplicities, and the difference subtracts the multiplicities of corresponding elements.
The concept of a multiset provides a flexible and practical way to represent collections with repeated elements. Its use in various mathematical and computational contexts makes it a valuable tool for analyzing and solving problems that involve the counting and manipulation of elements with multiplicities.
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Multiset Symbol Information
| Symbol Name | Multiset |
| Unicode Version | 1.1 (June 1993) |
| Unicode | U+228C |
| CSS Code | \228C |
| Hex Code | ⊌ |
| HTML Code | ⊌ |
Multiset Symbol Encoding
| UTF-8 | 0xE2 0x8A 0x8C |
| UTF-16 | 0x228C |
| UTF-32 | 0x0000228C |
Table of contents
- Multiset PNG and SVG files
- How to type multiset on Microsoft Word
- How to type multiset on Microsoft Windows
- How to type multiset on Mac OS
- How to type multiset on Linux
- How to type multiset on IOS and Android
- How to use multiset in CSS
- How to use multiset in HTML
- Multiset representation in programming languages
Multiset symbol's PNG and SVG files
How to add multiset symbol via keyboard on different Operating systems
You can type the multiset on most modern devices with the help of following methods:
How to type multiset symbol on Microsoft Word
You can type the multiset 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 8 C
- Without moving the cursor press keys Alt + x together
- The original 2 2 8 C is now transformed into ⊌
How to type multiset symbol on Microsoft Windows
You can type the multiset on Microsoft windows using following steps:
- Hold Alt and press to type multiset on your windows machine.
How to type multiset symbol on Mac OS
You can type the multiset 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 “Multiset” 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 multiset symbol on Linux
You can type the multiset 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 8 C consecutively
- And then press ↵ Enter , the desired symbol will be added to your document
How to type multiset symbol on IOS and Android
The easiest way to type the multiset on ios and android is to copy and paste it wherever you need it.
How to use multiset in CSS
span {
content: "\228C";
}
How to type multiset in HTML
<span>⊌</span>
Multiset symbol representation in programming languages
multiset's representation in different programming languages can be found in table below:
| Language | Representation |
| Rust | \u{228C} |
| Ruby | \u{228C} |
| Python | \u228C |
| PHP | \u{228C} |
| Perl | "\x{228C}" |
| Java | \u228C |
| Modern JavaScript - Since ES6 | \u{228C} |
| JavaScript | \u228C |
| Go | \u228C |
| C# | \u228C |
| C and C++ | \u228C |
| Bash and Zsh - inside echo -e | \u228C |
| RFC 5137 | \u'228C' |