The Mathematical Symbol "Triple Tilde (≋)"

The ≋ Symbol in Mathematics: Triple Tilde

The ≋ symbol, also known as the "Triple Tilde", might appear less frequently in everyday mathematical expressions but holds specialized significance in certain contexts. It represents a particular kind of approximation or similarity. This article will highlight its meaning and give a couple of illustrative examples.

Usage

The ≋ sign often denotes a relationship that's even closer than a general approximation, signaling that two quantities or expressions are almost indistinguishable or that their difference is negligible for the context at hand.

Examples

  • Example 1: Close Approximations:
    When calculating values in physics or engineering, sometimes two values might be so close that the difference doesn't matter for the practical application. If we have a value \( A \) and its approximation \( A' \) such that the difference between them is less than the precision of our instruments, we could write \( A ≋ A' \).
  • Example 2: Mathematical Analysis:
    In advanced calculus or analysis, the triple tilde might denote that two functions are virtually identical across a domain, particularly when the difference between them tends to zero faster than any reciprocal of a polynomial.

To sum up, the ≋ symbol enriches the mathematical notation system, allowing for the expression of very close approximations or near-identities. Its usage underscores the importance of precision and the nuances of mathematical relations.

Mathematical symbol 'Triple Tilde'

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Codes for the ≋ Symbol

The Symbol
Alt CodeAlt 8779
HTML Code≋
HTML Entity≋
CSS Code\224B
Hex Code≋
UnicodeU+224B

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 8779. 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: &#8779;</b>My symbol: ≋

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

HTML TextOutput
<b>My symbol: &apid;</b>My symbol: ≋

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

CSS and HTML TextOutput
<style>
span:after {
content: "\224B";}
</style>
<span>My symbol:</span>
My symbol: ≋

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

HTML TextOutput
<b>My symbol: &#x224B;</b>My symbol: ≋
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x224B 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+224B. 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
224B
[Hold down Alt]
[Press x]

(The 224B turns into ≋. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u224B. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u224B"
document.write("My symbol: " + str)
My symbol: ≋