The Mathematical Symbol "Not Square Image of or Equal To (⋢)"

The "Not Square Image of or Equal To" Symbol (⋢): A Unique Relational Notation

As mathematical symbols serve to communicate complex ideas succinctly, each has its distinct role in the lexicon. The ⋢ symbol, which denotes "Not Square Image of or Equal To", has a specific function within the realm of order theory and set relations. This article endeavors to unpack the significance, meaning, and examples of ⋢.

Diving into the ⋢ Symbol

At its core, the ⋢ symbol signifies that a particular set or element is not the square image of, or is not equivalent to, another set or element. It is especially valuable in contexts where relationships between different mathematical entities need to be defined with precision.

Example 1: Set Relations

Consider two sets, \( A \) and \( B \). If \( A \) is not the square image of or not equivalent to \( B \), this relationship can be expressed as: \( A ⋢ B \).

Example 2: Element Relationships

Suppose \( x \) and \( y \) are two elements. If \( x \) does not have a square image relationship or is not equivalent to \( y \), it can be symbolized as: \( x ⋢ y \).

Applications of ⋢

The ⋢ symbol is frequently found in:

  • Order Theory: Helps in defining complex relationships between ordered sets.
  • Set Relations: Denotes non-equivalence or non-square image relationships between two sets.
  • Algebraic Structures: Used to define non-equivalence between elements of different structures.

The intricacies of the ⋢ symbol accentuate the nuances within mathematical relations, highlighting non-equivalence or specific image relationships. It’s a potent tool for ensuring clarity and specificity in mathematical discourse.

In summary, the ⋢ is an instrumental symbol in communicating precise mathematical relationships, particularly in contexts of non-equivalence or specific image representations. Its use underscores the intricacies of mathematical relationships, making it invaluable in mathematical and theoretical discussions.

Mathematical symbol 'Not Square Image of or Equal To'

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Codes for the ⋢ Symbol

The Symbol⋢
Alt CodeAlt 8930
HTML Code⋢
HTML Entity⋢
CSS Code\22E2
Hex Code⋢
UnicodeU+22E2

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 8930. 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: &#8930;</b>My symbol: ⋢

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

HTML TextOutput
<b>My symbol: &nsqsube;</b>My symbol: ⋢

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

CSS and HTML TextOutput
<style>
span:after {
content: "\22E2";}
</style>
<span>My symbol:</span> 		My symbol: ⋢

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

HTML TextOutput
<b>My symbol: &#x22E2;</b>My symbol: ⋢
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22E2 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+22E2. 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
22E2
[Hold down Alt]
[Press x]		⋢
(The 22E2 turns into ⋢. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22E2. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22E2"
document.write("My symbol: " + str)		My symbol: ⋢