The Mathematical Symbol "Not Identical To (≢)"

The "Not Identical To" Symbol (≢)

The mathematical symbol ≢ represents the concept that two quantities or expressions are not identical in value or definition. While equality simply denotes that two quantities have the same value, being identical often encompasses a stronger or more specific form of sameness in mathematical contexts.

Understanding ≢

The ≢ symbol emphasizes a distinct separation between two entities, suggesting that they are inherently different in nature or value, and not merely different in value as the equals sign with a slash might suggest.

Example 1: Mathematical Constants

If we consider the numbers \( \pi \) (Pi) and \( e \) (the base of the natural logarithm), both are irrational numbers, but they are fundamentally different constants. Hence, we can say: \[ \pi ≢ e \] This denotes that \( \pi \) is not identical to \( e \) in nature or definition.

Example 2: Algebraic Expressions

In algebra, if two expressions might be equal under some conditions but are not the same expression, we can use: \[ Expression A ≢ Expression B \] Indicating that while they might evaluate to the same number in some cases, they are not the same expression.

Applications of ≢

The ≢ symbol finds its usage in various areas such as:

  • Mathematics: When discussing identities or fundamental properties, the distinction between merely being equal and being identical is critical.
  • Logic: In propositional or predicate logic, the concept of two statements not being logically identical can be represented using this symbol.

In summary, the ≢ symbol plays a pivotal role in distinguishing between the concepts of equality and identity in mathematics and logic. Recognizing this difference is essential for a deeper understanding of mathematical structures and logical arguments.

Mathematical symbol 'Not Identical To'

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Codes for the ≢ Symbol

The Symbol
Alt CodeAlt 8802
HTML Code≢
HTML Entity≢
CSS Code\2262
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 8802. 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: &#8802;</b>My symbol: ≢

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

HTML TextOutput
<b>My symbol: &nequiv;</b>My symbol: ≢

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

CSS and HTML TextOutput
span:after {
content: "\2262";}
<span>My symbol:</span>
My symbol: ≢

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

HTML TextOutput
<b>My symbol: &#x2262;</b>My symbol: ≢
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2262 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+2262. 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 2262 turns into ≢. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2262. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2262"
document.write("My symbol: " + str)
My symbol: ≢