The Mathematical Symbol "Neither a Superset of nor Equal To (⊉)"

Deciphering the "Neither a Superset of nor Equal To" Symbol (⊉)

In the rich tapestry of mathematical notation, unique symbols are utilized to represent intricate relationships with precision. One such symbol is ⊉, known as the "Neither a Superset of nor Equal To" symbol. This notation embodies a particular subset-superset relationship, or lack thereof, between sets. This article sheds light on its application and importance.

Grasping ⊉

The ⊉ symbol conveys a specific relationship between two sets. When used, it denotes that one set is neither a superset of, nor equal to, the other set. This essentially means that the first set lacks some elements that are present in the second set, but it also has additional elements not present in the second set.

Example 1: Basic Sets

If we have two sets, A and B, the relation \( A ⊉ B \) implies that neither is A containing all elements of B nor are they equivalent sets. There exist elements in B not present in A, and vice versa.

Example 2: Subsets in Mathematics

Consider the set of integers \( Z \) and the set of natural numbers \( N \). We can assert \( Z ⊉ N \), because while every natural number is an integer, not every integer is a natural number (due to the inclusion of negative integers in \( Z \)). However, \( Z \) also doesn't cover all elements of \( N \).

Arenas of ⊉ Application

The ⊉ symbol finds its relevance in numerous mathematical domains:

  • Set Theory: Key for discussions around set relationships.
  • Logic: Used in predicates and logic expressions about sets.
  • Computational Mathematics: Helpful in algorithms and procedures revolving around set operations.

Its application ensures clarity in representation, especially when describing non-trivial set relationships.

In summary, the ⊉ symbol, representing "Neither a Superset of nor Equal To", is instrumental in accurately conveying specific set relationships. It underscores the breadth and depth of mathematical symbols that cater to every nuanced relationship and concept.

Mathematical symbol 'Neither a Superset of nor Equal To'

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Codes for the ⊉ Symbol

The Symbol
Alt CodeAlt 8841
HTML Code⊉
HTML Entity⊉
CSS Code\2289
Hex Code⊉

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 8841. 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: &#8841;</b>My symbol: ⊉

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

HTML TextOutput
<b>My symbol: &nsupe;</b>My symbol: ⊉

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

CSS and HTML TextOutput
span:after {
content: "\2289";}
<span>My symbol:</span>
My symbol: ⊉

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

HTML TextOutput
<b>My symbol: &#x2289;</b>My symbol: ⊉
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2289 to place the ⊉ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);

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

The Unicode for ⊉ is U+2289. 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:
[Hold down Alt]
[Press x]

(The 2289 turns into ⊉. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2289. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2289"
document.write("My symbol: " + str)
My symbol: ⊉