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Does Not Precede or Equal

The Mathematical Symbol "Does Not Precede or Equal (⋠)"

homesitemapsymbolsdoes 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. This lesson covers the main application of this notation with two illustrative examples.

Significance in Order Theory

In 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.

Mathematical symbol 'Does Not Precede or Equal'

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Codes for the ⋠ Symbol

The Symbol
Alt CodeAlt 8928
HTML Code⋠
HTML Entity⋠
CSS Code\22E0
Hex Code⋠
UnicodeU+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 TextOutput
<b>My symbol: &#8928;</b>My symbol: ⋠

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

HTML TextOutput
<b>My symbol: &nprcue;</b>My symbol: ⋠

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

CSS and HTML TextOutput
<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 TextOutput
<b>My symbol: &#x22E0;</b>My symbol: ⋠
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22E0 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+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:
TypeOutput
22E0
[Hold down Alt]
[Press x]

(The 22E0 turns into ⋠. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22E0. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22E0"
document.write("My symbol: " + str)
My symbol: ⋠

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More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

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Full List of Mathematical Symbols