The Mathematical Symbol "Not Almost Equal To (≉)"
The "Not Almost Equal To" Symbol (≉)
In mathematics, particularly in real analysis and calculus, the symbol ≉ represents that two quantities are not almost equal. This can be particularly useful in contexts where approximations are commonly used, but a distinction needs to be made between nearly equal values and values that differ more significantly.
Understanding ≉
The concept of "almost equality" often arises in contexts involving limits, asymptotic behavior, or numerical approximations. While two quantities might get arbitrarily close to each other (or their difference might approach zero), they aren't always truly equal. The symbol ≉ emphasizes this distinction.
Example 1: Asymptotic Behavior
Suppose a function \( f(x) \) approaches another function \( g(x) \) as \( x \) approaches infinity, but the two functions aren't identically equal. This could be represented as: \[ f(x) ≉ g(x) \] as \( x \rightarrow \infty \).
Example 2: Numerical Approximations
For computational purposes, the number \(\pi\) is often approximated as 3.14. Although close, they aren't truly equal. Thus, we can represent this relationship as: \[ \pi ≉ 3.14 \]
Applications of ≉
The ≉ symbol finds its uses in various domains:
- Mathematics: Especially in real analysis, calculus, and numerical methods, where approximations are common.
- Physics: In scenarios where two quantities are nearly the same, but their exact equivalence is not established.
In summary, the ≉ symbol plays a crucial role in mathematical expressions and discussions where distinctions between exact and nearly equal values are necessary.
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Codes for the ≉ Symbol
| The Symbol | ≉ | |
| Alt Code | Alt 8777 | |
| HTML Code | ≉ | |
| HTML Entity | ≉ | |
| CSS Code | \2249 | |
| Hex Code | ≉ | |
| Unicode | U+2249 |
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 8777. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≉</b> | My symbol: ≉ |
(Method 4) Use the HTML Entity Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≉</b> | My symbol: ≉ |
(Method 5) Use the CSS Code (for webpages).
| CSS and HTML Text | Output |
|---|---|
|
<style> span:after { content: "\2249";} </style> <span>My symbol:</span> | My symbol: ≉ |
(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≉</b> | My symbol: ≉ |
| 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+2249. 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:| Type | Output |
|---|---|
| 2249 [Hold down Alt] [Press x] | ≉ (The 2249 turns into ≉. Note that you can omit any leading zeros.) |
| JavaScript Text | Output |
|---|---|
| let str = "\u2249" document.write("My symbol: " + str) | My symbol: ≉ |