The Mathematical Symbol "Does Not Precede or Equal (⋠)"
The "Does Not Precede or Equal" Symbol (⋠): A Detailed Look
The "Does Not Precede or Equal" notation, represented as ⋠ is primarily used in order theory. This symbol indicates a specific relation (or lack thereof) between two elements: one element neither precedes nor is equal to the other. In this article, we'll explore the main application of this notation with two illustrative examples.
Significance in Order Theory
In the realm of order theory, the ⋠ symbol is used to state that one element, say \(a\), neither precedes nor is equivalent to another element, \(b\). It highlights a distinct non-relation between the two elements in question.
Example 1:
Considering the ordered set of natural numbers, let's examine the numbers 4 and 2.
Clearly, 4 does not precede 2 nor is it equal to 2. Thus, we can articulate that 4 ⋠ 2.
Example 2:
Within the context of the ordered set of English alphabets:
Take the letters 'D' and 'A'. Here, 'D' neither precedes 'A' nor is it the same as 'A'. Therefore, we can express D ⋠ A.
Through these examples, the use of the "Does Not Precede or Equal" notation in detailing certain relationships, or their absence, within ordered sets is evident. As is the case with numerous mathematical symbols, context is vital to discern its exact meaning.
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Codes for the ⋠ Symbol
| The Symbol | ⋠ | |
| Alt Code | Alt 8928 | |
| HTML Code | ⋠ | |
| HTML Entity | ⋠ | |
| CSS Code | \22E0 | |
| Hex Code | ⋠ | |
| Unicode | U+22E0 |
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 8928. 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: ⋠</b> | My symbol: ⋠ |
(Method 4) Use the HTML Entity Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ⋠</b> | My symbol: ⋠ |
(Method 5) Use the CSS Code (for webpages).
| CSS and HTML Text | Output |
|---|---|
|
<style> span:after { content: "\22E0";} </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: ⋠</b> | My symbol: ⋠ |
| 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+22E0. 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 |
|---|---|
| 22E0 [Hold down Alt] [Press x] | ⋠ (The 22E0 turns into ⋠. Note that you can omit any leading zeros.) |
| JavaScript Text | Output |
|---|---|
| let str = "\u22E0" document.write("My symbol: " + str) | My symbol: ⋠ |