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Small Element of with Overbar

The Mathematical Symbol "Small Element of with Overbar (⋷)"

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The "Small Element of with Overbar" Symbol (⋷)

The ⋷ symbol is a mathematical representation that denotes "not an element of," but with a specific notation where the "element of" symbol has an overbar. It's a variation on the traditional "not an element of" symbol.

Understanding the Symbol

The ⋷ is a combination of the "element of" symbol with an overbar or horizontal line atop the symbol. This bar generally represents negation in mathematics. Hence, when paired with the "element of" symbol, it denotes the inverse meaning, "not an element of."

Usage

This symbol is used in set theory and mathematical logic to indicate that a specific element is not part of a particular set. For instance, when denoting that number "a" is not part of set "A," one might use this symbol as in \( a \notinvb A \).

Example

Consider a set A = {1, 2, 3, 4}. To state that the number 5 is not an element of this set, one would use the expression:

5 ⋷ A.

Typing ⋷

In web-based platforms or digital documents that support HTML entities, inputting the ⋷ entity will render the "Small Element of with Overbar" symbol. The exact appearance might vary based on the chosen font and platform. In other environments, you may need to combine the "element of" symbol with a separate overbar or use a unique keyboard shortcut or code.

Related Symbols

There are several related symbols in set theory, such as ∈ (Element of) and ∉ (Not an Element of). These symbols help in illustrating relationships between elements and sets.

Conclusion

The ⋷ symbol is instrumental in mathematical contexts when discussing set memberships, especially when emphasizing the absence of an element within a specific set. Familiarizing oneself with this and related symbols is crucial for anyone diving deep into mathematics, especially set theory.

Mathematical symbol 'Small Element of with Overbar'

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Codes for the ⋷ Symbol

The Symbol
Alt CodeAlt 8951
HTML Code⋷
HTML Entity⋷
CSS Code\22F7
Hex Code⋷
UnicodeU+22F7

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 8951. 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: &#8951;</b>My symbol: ⋷

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

HTML TextOutput
<b>My symbol: &notinvb;</b>My symbol: ⋷

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

CSS and HTML TextOutput
<style>
span:after {
content: "\22F7";}
</style>
<span>My symbol:</span>
My symbol: ⋷

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

HTML TextOutput
<b>My symbol: &#x22F7;</b>My symbol: ⋷
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22F7 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+22F7. 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
22F7
[Hold down Alt]
[Press x]

(The 22F7 turns into ⋷. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22F7. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22F7"
document.write("My symbol: " + str)
My symbol: ⋷

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More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

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Full List of Mathematical Symbols