Multimap

The Mathematical Symbol "Multimap (⊸)"

The ⊸ Symbol in Mathematics: Multimap

In mathematics, symbols serve as a concise means of conveying complex ideas and operations. Among these symbols, the ⊸ or "Multimap" stands out for its particular utility in certain branches like set theory and logic. This article aims to shed light on the primary applications and relevance of the ⊸ symbol, enriched by illustrative examples.

Usage

The ⊸ symbol is employed to represent a multimap, a generalization of a function. While a function from a set A to a set B associates each element of A with exactly one element of B, a multimap allows for one element from A to be associated with multiple elements in B.

Examples

• Example 1: Consider a multimap from set A = {1, 2} to set B = {a, b, c}. An instance of such a multimap might be:
  1 ⊸ {a, b} and 2 ⊸ {b, c}
  Here, the element 1 from A is associated with both 'a' and 'b' from B, while 2 is associated with 'b' and 'c'.
• Example 2: Given two sets X = {p, q} and Y = {r, s, t}, a potential multimap could be:
  p ⊸ {r, s} and q ⊸ {t}
  In this scenario, the element 'p' from X relates to both 'r' and 's' in Y, while 'q' relates solely to 't'.

In essence, the ⊸ symbol provides a flexible means of depicting relationships between elements of two sets. Its introduction into mathematical notation enables broader exploration of associations beyond the constraints of traditional functions.

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Codes for the ⊸ Symbol

The Symbol	⊸	copy
Alt Code	Alt 8888	copy
HTML Code	⊸	copy
HTML Entity	⊸	copy
CSS Code	\22B8	copy
Hex Code	⊸	copy
Unicode	U+22B8	copy

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 8888. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

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

HTML Text	Output
<b>My symbol: &#8888;</b>	My symbol: ⊸

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

HTML Text	Output
<b>My symbol: &mumap;</b>	My symbol: ⊸

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

CSS and HTML Text	Output
<style> span:after { content: "\22B8";} </style> <span>My symbol:</span>	My symbol: ⊸

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

HTML Text	Output
<b>My symbol: &#x22B8;</b>	My symbol: ⊸

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22B8 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+22B8. 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:

Type	Output
22B8 [Hold down Alt] [Press x]	⊸ (The 22B8 turns into ⊸. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u22B8. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u22B8" document.write("My symbol: " + str)	My symbol: ⊸

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