Complement Symbol ∁
In mathematical notation, the complement of a set A, denoted as A', represents all elements that are not in A with respect to a given universal set. The complement is a fundamental concept in set theory and is commonly used to describe the elements outside a specified set.
Definition
The complement of a set A, denoted as A', consists of all elements that are in the universal set but not in A. Mathematically, A' = {x | x is in the universal set and x is not in A}.
Representation in HTML
In HTML, the complement symbol can be represented using the HTML entity ′ or ′. Alternatively, you can use the ASCII character '.
Usage in Mathematics
The complement is widely used in set theory and mathematical logic. It helps define operations such as intersection, union, and set difference. Complements are essential for understanding the relationships between sets and forming logical statements.
Example
Consider the universal set U = {1, 2, 3, 4, 5} and set A = {2, 4}. The complement of A, denoted as A', would be A' = {1, 3, 5}, as these are the elements in U but not in A.
The complement is a valuable concept in set theory, providing a way to describe the elements that are excluded from a specific set. Its use is foundational in various branches of mathematics, contributing to the formalism and precision of mathematical reasoning.
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Complement Symbol Information
| Symbol Name | Complement |
| Unicode Version | 1.1 (June 1993) |
| Unicode | U+2201 |
| CSS Code | \2201 |
| HTML Entity | ∁ |
| Hex Code | ∁ |
| HTML Code | ∁ |
| Latex | \complement |
Complement Symbol Encoding
| UTF-8 | 0xE2 0x88 0x81 |
| UTF-16 | 0x2201 |
| UTF-32 | 0x00002201 |
Table of contents
- Complement PNG and SVG files
- How to type complement on Microsoft Word
- How to type complement on Microsoft Windows
- How to type complement on Mac OS
- How to type complement on Linux
- How to type complement on IOS and Android
- How to use complement in CSS
- How to use complement in HTML
- Complement representation in programming languages
Complement symbol's PNG and SVG files
How to add complement symbol via keyboard on different Operating systems
You can type the complement on most modern devices with the help of following methods:
How to type complement symbol on Microsoft Word
You can type the complement 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 0 1
- Without moving the cursor press keys Alt + x together
- The original 2 2 0 1 is now transformed into ∁
How to type complement symbol on Microsoft Windows
You can type the complement on Microsoft windows using following steps:
- Hold Alt and press to type complement on your windows machine.
How to type complement symbol on Mac OS
You can type the complement 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 “Complement” 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 complement symbol on Linux
You can type the complement 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 0 1 consecutively
- And then press ↵ Enter , the desired symbol will be added to your document
How to type complement symbol on IOS and Android
The easiest way to type the complement on ios and android is to copy and paste it wherever you need it.
How to use complement in CSS
span {
content: "\2201";
}
How to type complement in HTML
<span>∁</span>
Complement symbol representation in programming languages
complement's representation in different programming languages can be found in table below:
| Language | Representation |
| Rust | \u{2201} |
| Ruby | \u{2201} |
| Python | \u2201 |
| PHP | \u{2201} |
| Perl | "\x{2201}" |
| Java | \u2201 |
| Modern JavaScript - Since ES6 | \u{2201} |
| JavaScript | \u2201 |
| Go | \u2201 |
| C# | \u2201 |
| C and C++ | \u2201 |
| Bash and Zsh - inside echo -e | \u2201 |
| RFC 5137 | \u'2201' |