The Mathematical Symbol "Reversed Tilde (∽)"

The "Reversed Tilde" Symbol (∽)

The ∽ symbol, also referred to as the "Reversed Tilde", is commonly used in mathematics to indicate a relation of similarity or equivalence. The symbol is visually a tilde character flipped horizontally. It's particularly prevalent in algebra and topology to describe specific kinds of similarity relations.

Usage of ∽

The Reversed Tilde is often employed to describe relations that bear a semblance to standard equality but are more flexible or contextually different. The symbol may not be as widely recognized as the standard tilde, but it holds importance in specific mathematical contexts.

Example 1: Similarity Relation

In some contexts, the expression \( A ∽ B \) could imply that A and B are similar in some specified manner but not necessarily identical. The precise nature of this similarity would be context-dependent and based on the area of mathematics being discussed.

Importance in Various Mathematical Domains

The ∽ symbol has relevance in multiple mathematical areas:

  • Algebra: The Reversed Tilde can represent a kind of equivalence in algebraic structures or relations that mirrors standard equality but may allow for more general forms of correspondence.
  • Topology: It's sometimes used to denote homeomorphism or other topological equivalences.
  • General Mathematics: Beyond these specific uses, the symbol can serve as a general-purpose "similarity" or "correspondence" indicator in various contexts where the standard equals sign or the regular tilde aren't suitable.

In summary, the ∽ symbol, while perhaps not as commonplace as other mathematical symbols, offers mathematicians a tool to express specific types of relations. Its use helps add nuance and specificity in contexts where standard equality or similarity might not adequately convey the intended relationship.

Mathematical symbol 'Reversed Tilde'

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Codes for the ∽ Symbol

The Symbol
Alt CodeAlt 8765
HTML Code∽
HTML Entity∽
CSS Code\223D
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 8765. 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: &#8765;</b>My symbol: ∽

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

HTML TextOutput
<b>My symbol: &bsim;</b>My symbol: ∽

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

CSS and HTML TextOutput
span:after {
content: "\223D";}
<span>My symbol:</span>
My symbol: ∽

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

HTML TextOutput
<b>My symbol: &#x223D;</b>My symbol: ∽
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x223D 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+223D. 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 223D turns into ∽. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u223D. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u223D"
document.write("My symbol: " + str)
My symbol: ∽