The Mathematical Symbol "Does Not Succeed or Equal (⋡)"

The "Does Not Succeed or Equal" Symbol (⋡): A Deep Dive

The "Does Not Succeed or Equal" symbol, denoted as ⋡ is a mathematical notation primarily used in order theory. This symbol represents a relation between two elements wherein one element neither succeeds nor is equal to the other. In this article, we'll shed light on the primary usage of this notation with two specific examples.

Understanding in Order Theory

In order theory, the ⋡ notation is employed to represent that one element, say \(a\), neither succeeds nor is equal to another element, \(b\). It emphasizes a specific non-relation between the two entities under consideration.

Example 1:

Within the ordered set of natural numbers, consider the numbers 3 and 5.

It's clear that 3 neither succeeds 5 nor is equal to it. Therefore, we can assert that 3 ⋡ 5.

Example 2:

In the context of the ordered set of English alphabets:

Let's take the letters 'A' and 'C'. Here, 'A' neither succeeds 'C' nor is equal to 'C'. Hence, we can state A ⋡ C.

These examples illuminate the use of the "Does Not Succeed or Equal" notation in specifying certain relationships, or lack thereof, within ordered sets. As always, the exact interpretation depends on the context and the specific sets or elements being discussed.

Mathematical symbol 'Does Not Succeed or Equal'

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Codes for the ⋡ Symbol

The Symbol
Alt CodeAlt 8929
HTML Code⋡
HTML Entity⋡
CSS Code\22E1
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 8929. 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: &#8929;</b>My symbol: ⋡

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

HTML TextOutput
<b>My symbol: &nsccue;</b>My symbol: ⋡

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

CSS and HTML TextOutput
span:after {
content: "\22E1";}
<span>My symbol:</span>
My symbol: ⋡

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

HTML TextOutput
<b>My symbol: &#x22E1;</b>My symbol: ⋡
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22E1 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+22E1. 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 22E1 turns into ⋡. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22E1. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22E1"
document.write("My symbol: " + str)
My symbol: ⋡