The Mathematical Symbol "Image of or Approximately Equal To (≓)"

The ≓ Symbol in Mathematics: Image of or Approximately Equal To

The vast vocabulary of mathematical symbols includes the ≓ or "Image of or Approximately Equal To" symbol. This article will delve into its meaning, primary applications, and provide a couple of examples for clarity.

Usage

The ≓ symbol is predominantly used in the context of approximations in mathematics. It conveys that one value is not just approximately equal to another, but it's also suggestive of the image of the other value in certain contexts.

Examples

  • Example 1: In numerical approximations:
    Suppose \( \pi \) is approximated as 3.1416 for a particular calculation. This relationship can be represented as \( \pi ≓ 3.1416 \), indicating that 3.1416 is an approximate representation or image of \( \pi \).
  • Example 2: In functional analysis:
    If \( f(x) \) is a function and \( g(x) \) is its approximate representation or image for certain inputs, one might use \( f(x) ≓ g(x) \) to signify this relationship.

In essence, the ≓ symbol offers a nuanced way to express both approximations and the idea of one value being an image of another. Grasping its meaning and usage is crucial for understanding intricate mathematical relationships and approximations.

Mathematical symbol 'Image of or Approximately Equal To'

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Codes for the ≓ Symbol

The Symbol
Alt CodeAlt 8787
HTML Code≓
HTML Entity≓
CSS Code\2253
Hex Code≓
UnicodeU+2253

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 8787. 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: &#8787;</b>My symbol: ≓

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

HTML TextOutput
<b>My symbol: &erDot;</b>My symbol: ≓

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

CSS and HTML TextOutput
<style>
span:after {
content: "\2253";}
</style>
<span>My symbol:</span>
My symbol: ≓

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

HTML TextOutput
<b>My symbol: &#x2253;</b>My symbol: ≓
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2253 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+2253. 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
2253
[Hold down Alt]
[Press x]

(The 2253 turns into ≓. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2253. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2253"
document.write("My symbol: " + str)
My symbol: ≓