The Mathematical Symbol "Inverted Lazy S (∾)"

The ∾ Symbol in Mathematics: Inverted Lazy S

Among the myriad of mathematical symbols, the ∾ or "Inverted Lazy S" might seem peculiar to some. This article will illuminate its meaning, delve into its main applications, and present illustrative examples for enhanced understanding.

Usage

The ∾ symbol is symbolic of the inverse hyperbolic cosine function. It's essential to note that while this symbol might not be as commonly used as others in everyday mathematics, it plays a significant role in more advanced topics, especially those related to hyperbolic functions and their inverses.

Examples

  • Example 1: Basic use in mathematics:
    If you encounter an expression like \( ∾(x) \), it's referring to the inverse hyperbolic cosine of \( x \).
  • Example 2: As an equation:
    Given the equation \( y = ∾(x) \), the function represents the relationship between \( y \) and \( x \) through the inverse hyperbolic cosine.

In summary, while the ∾ symbol might not be a mainstay in basic mathematical education, its relevance becomes apparent as one ventures into more advanced topics. Having a grasp of its meaning can provide clarity in mathematical contexts where hyperbolic functions are pivotal.

Mathematical symbol 'Inverted Lazy S'

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Codes for the ∾ Symbol

The Symbol∾
Alt CodeAlt 8766
HTML Code∾
HTML Entity∾
CSS Code\223E
Hex Code∾
UnicodeU+223E

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 8766. 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: &#8766;</b>My symbol: ∾

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

HTML TextOutput
<b>My symbol: &ac;</b>My symbol: ∾

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

CSS and HTML TextOutput
<style>
span:after {
content: "\223E";}
</style>
<span>My symbol:</span> 		My symbol: ∾

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

HTML TextOutput
<b>My symbol: &#x223E;</b>My symbol: ∾
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x223E 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+223E. 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
223E
[Hold down Alt]
[Press x]		∾
(The 223E turns into ∾. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u223E. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u223E"
document.write("My symbol: " + str)		My symbol: ∾