Intersection Symbol ∩
In mathematics, "Intersection" refers to the set of elements common to two or more sets. It represents the overlapping region or commonality between distinct sets and plays a crucial role in set theory, geometry, and various mathematical applications.
Defining Intersection
The Intersection of sets A and B, denoted as A ∩ B, represents all elements that are present in both set A and set B simultaneously.
Notation and Representation
Symbolically, the Intersection is represented using the symbol ∩, and mathematically, the Intersection of sets A and B is written as:
A ∩ B = { x | x ∈ A and x ∈ B }
Properties of Intersection
Key properties of Intersection include commutativity, associativity, and the relationship with the empty set (∅) and universal set (𝕌).
Applications in Mathematics
Intersection finds extensive applications in various mathematical fields, including set theory, geometry, probability, and logic. It's instrumental in defining relationships between sets and analyzing common elements among different collections.
Intersection in Set Theory
In set theory, Intersection is crucial for defining new sets based on common elements, determining relationships between sets, and establishing conditions or criteria based on shared characteristics.
Intersection, denoted as A ∩ B, represents the common elements shared by sets A and B. It stands as a fundamental operation in set theory and other mathematical domains, providing a means to analyze, categorize, and define relationships among distinct sets.
Understanding the concept and properties of Intersection aids in various mathematical analyses, set operations, and logical reasoning, offering insights into shared elements and relationships between different collections of objects or entities.
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Intersection Symbol Information
| Symbol Name | Intersection |
| Unicode Version | 1.1 (June 1993) |
| Unicode | U+2229 |
| CSS Code | \2229 |
| HTML Entity | ∩ |
Intersection Symbol Encoding
| UTF-8 | 0xE2 0x88 0xA9 |
| UTF-16 | 0x2229 |
| UTF-32 | 0x00002229 |
Table of contents
- Intersection PNG and SVG files
- How to type intersection in latex
- How to type intersection on Microsoft Word
- How to type intersection on Microsoft Windows
- How to type intersection on Mac OS
- How to type intersection on Linux
- How to type intersection on IOS and Android
- How to use intersection in CSS
- How to use intersection in HTML
- Intersection representation in programming languages
Intersection symbol's PNG and SVG files
How to type intersection symbol in latex
\documentclass{article}
\begin{document}
\cap
\end{document}
How to add intersection symbol via keyboard on different Operating systems
You can type the intersection on most modern devices with the help of following methods:
How to type intersection symbol on Microsoft Word
You can type the intersection 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 2 9
- Without moving the cursor press keys Alt + x together
- The original 2 2 2 9 is now transformed into ∩
How to type intersection symbol on Microsoft Windows
You can type the intersection on Microsoft windows using following steps:
- Hold Alt and press to type intersection on your windows machine.
How to type intersection symbol on Mac OS
You can type the intersection 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 “Intersection” 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 intersection symbol on Linux
You can type the intersection 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 2 9 consecutively
- And then press ↵ Enter , the desired symbol will be added to your document
How to type intersection symbol on IOS and Android
The easiest way to type the intersection on ios and android is to copy and paste it wherever you need it.
How to use intersection in CSS
span {
content: "\2229";
}
How to type intersection in HTML
<span>∩</span>
Intersection symbol representation in programming languages
intersection's representation in different programming languages can be found in table below:
| Language | Representation |
| Rust | \u{2229} |
| Ruby | \u{2229} |
| Python | \u2229 |
| PHP | \u{2229} |
| Perl | "\x{2229}" |
| Java | \u2229 |
| Modern JavaScript - Since ES6 | \u{2229} |
| JavaScript | \u2229 |
| Go | \u2229 |
| C# | \u2229 |
| C and C++ | \u2229 |
| Bash and Zsh - inside echo -e | \u2229 |
| RFC 5137 | \u'2229' |