The Mathematical Symbol "Double Superset (⋑)"

The Double Superset Symbol (⋑): A Mathematical Exploration

The Double Superset symbol, represented as ⋑, has specialized usages in mathematics, particularly in set theory. This symbol, while less common than the traditional superset notation, has its own distinct implications. In this article, we'll examine the symbol's meaning and provide two illustrative examples.

Usage in Set Theory

In set theory and related areas of mathematics, the ⋑ symbol can be interpreted in various ways depending on context. While its precise interpretation might differ across specific mathematical niches, it generally signifies an enhanced or special type of "superset" relationship between sets.

Example 1:

Consider two sets \( A \) and \( B \). If \( A \) has a specific kind of superset relationship with \( B \) that is denoted by the ⋑ symbol, it could be expressed as:

\( A ⋑ B \)

This denotes that \( A \) is not just a superset of \( B \), but has some additional property or relationship, as defined by the particular context in which the ⋑ symbol is used.

Example 2:

Imagine a scenario where the ⋑ symbol represents the idea of \( A \) being both a strict superset of \( B \) and sharing some other property, say, having an even number of elements. Given two sets \( A = \{2, 4, 6, 8\} \) and \( B = \{2, 4\} \), the relationship can be expressed as:

\( A ⋑ B \)

Here, \( A \) is a strict superset of \( B \) and both sets contain only even numbers.

Through these examples, it's evident that the ⋑ symbol can denote complex relationships between sets, beyond mere subset-superset dynamics. As with many specialized mathematical symbols, understanding the ⋑ notation requires familiarity with the specific mathematical context in which it's employed.

Mathematical symbol 'Double Superset'

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Codes for the ⋑ Symbol

The Symbol⋑
Alt CodeAlt 8913
HTML Code⋑
HTML Entity⋑
CSS Code\22D1
Hex Code⋑
UnicodeU+22D1

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 8913. 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: &#8913;</b>My symbol: ⋑

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

HTML TextOutput
<b>My symbol: &Sup;</b>My symbol: ⋑

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

CSS and HTML TextOutput
<style>
span:after {
content: "\22D1";}
</style>
<span>My symbol:</span> 		My symbol: ⋑

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

HTML TextOutput
<b>My symbol: &#x22D1;</b>My symbol: ⋑
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22D1 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+22D1. 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
22D1
[Hold down Alt]
[Press x]		⋑
(The 22D1 turns into ⋑. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22D1. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22D1"
document.write("My symbol: " + str)		My symbol: ⋑