The Mathematical Symbol "Precedes Under Relation (⊰)"

The "Precedes Under Relation" Symbol (⊰): Mapping Relationships in Mathematics

Amid the vast array of mathematical symbols, the ⊰ symbol, termed as "Precedes Under Relation," holds a niche of its own. This symbol is especially significant in set theory, relations, and some domains of algebra where it is used to describe specific relationships between elements. Let's delve into the nuances of the ⊰ symbol.

Understanding the ⊰ Symbol

Resembling a less-than sign but with an additional underline, the ⊰ is not just about sequence or order. Instead, it highlights a particular precedence under a specified relation or condition.

Example 1: Set Relations

Consider two sets, A and B, in a universe where certain relations dictate the interactions between sets. If A ⊰ B, it suggests that set A precedes set B under a given relation, which might not necessarily be the standard set inclusion or ordering.

Example 2: Algebraic Structures

In the realm of algebra, if we have two algebraic structures M and N, and a unique relation R is defined between them, M ⊰ N can imply that M precedes N under the relation R.

Applications and Contexts

The ⊰ symbol’s usage is primarily seen in:

  • Set Theory: Denoting special relations between sets beyond the standard inclusion.
  • Abstract Algebra: Signifying unique relationships between algebraic structures based on defined relations.

For many, encountering the ⊰ might be a rare event, given its specialized nature. However, its existence highlights the richness of mathematical notation, ensuring every unique relationship, no matter how intricate, has its symbolic representation.

In summary, the ⊰ symbol underscores the depth of mathematical language. While it might not be frequently used in elementary discussions, its presence in advanced contexts ensures that specialized relationships have their rightful place in mathematical notation.

Mathematical symbol 'Precedes Under Relation'

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Codes for the ⊰ Symbol

The Symbol
Alt CodeAlt 8880
HTML Code⊰
HTML Entity⊰
CSS Code\22B0
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 8880. 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: &#8880;</b>My symbol: ⊰

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

HTML TextOutput
<b>My symbol: &prurel;</b>My symbol: ⊰

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

CSS and HTML TextOutput
span:after {
content: "\22B0";}
<span>My symbol:</span>
My symbol: ⊰

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

HTML TextOutput
<b>My symbol: &#x22B0;</b>My symbol: ⊰
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22B0 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+22B0. 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 22B0 turns into ⊰. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22B0. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22B0"
document.write("My symbol: " + str)
My symbol: ⊰