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Right-Pointing Angle Bracket

The Mathematical Symbol "Right-Pointing Angle Bracket (⟩)"

homesitemapsymbolsright-pointing angle bracket

The "Right-Pointing Angle Bracket" Symbol (⟩)

The ⟩ symbol, often referred to as the "Right-Pointing Angle Bracket" or simply "Closing Angle Bracket," is commonly used in a variety of contexts in mathematics, computing, and linguistics.

Mathematical Usage

In mathematics, the ⟩ and its counterpart ⟨ (Left-Pointing Angle Bracket) are used to show inner products or scalar products in linear algebra, especially in the context of vector spaces.

Example:

If \( \vec{a} \) and \( \vec{b} \) are vectors, their inner product can be represented as \( ⟨ \vec{a}, \vec{b} ⟩ \).

Computing and Programming

In computing, the ⟩ symbol, along with its counterpart ⟨, is widely used in various programming languages and data formats to show specific elements or to structure data:

  • HTML/XML: The ⟩ is used as the closing part of a tag. For example: <tagname>content</tagname>.
  • Generics: In some programming languages, these brackets are used to define generic data types.

Linguistics

In the field of linguistics, angle brackets are used to enclose a sequence of characters, indicating that the sequence represents phonetic or phonemic data.

Conclusion

The ⟩ symbol, though simple, has diverse applications and is integral to many mathematical expressions, programming paradigms, and linguistic annotations. Recognizing its context of use is key to understanding its intended meaning.

Mathematical symbol 'Right-Pointing Angle Bracket'

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Codes for the 〉 Symbol

The Symbol
Alt CodeAlt 9002
HTML Code&#9002;
HTML Entity&rang;
CSS Code\232A
Hex Code&#x232A;
UnicodeU+232A

How To Insert the 〉 Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the 〉 symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 9002. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#9002;</b>My symbol: 〉

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &rang;</b>My symbol: ⟩

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
<style>
span:after {
content: "\232A";}
</style>
<span>My symbol:</span>
My symbol: 〉

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x232A;</b>My symbol: 〉
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x232A to place the 〉 symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);
Output

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for 〉 is U+232A. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
TypeOutput
232A
[Hold down Alt]
[Press x]

(The 232A turns into 〉. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u232A. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u232A"
document.write("My symbol: " + str)
My symbol: 〉

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More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

More Symbols

Full List of Mathematical Symbols