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Superset of or Equal To

The Mathematical Symbol "Superset of or Equal To (⊇)"

homesitemapsymbolssuperset of or equal to

The "Superset of or Equal To" Symbol (⊇)

The ⊇ symbol represents the mathematical relation where one set is either a superset of another set, or both sets are equal. Essentially, it indicates that the first set contains all the elements of the second set or has the same elements as the second set.

Visual Representation

The symbol itself resembles the "greater than" sign (`>`) combined with an underscore, which signifies the idea of "greater than or equal to" in the context of sets rather than numbers.

Common Uses

The "Superset of or Equal To" relation has various applications in set theory and mathematics:

  • Set Theory: In set theory, if set \( A \) is a superset of or is equal to set \( B \), it can be represented as \( A ⊇ B \). This means all elements of set \( B \) are also elements of set \( A \).
  • Examples:
    • If set \( A = \{1, 2, 3, 4\} \) and set \( B = \{2, 3\} \), then \( A ⊇ B \) since all elements of \( B \) are contained in \( A \).
    • If set \( A = \{1, 2, 3\} \) and set \( B = \{1, 2, 3\} \), then \( A ⊇ B \) because \( A \) and \( B \) are equal.

Representation in Other Contexts

In LaTeX, which is commonly used for typesetting mathematical and scientific documents, the "Superset of or Equal To" symbol can be represented with the command `\supseteq` when in math mode.

Conclusion

The ⊇ symbol is instrumental in set theory and other areas of mathematics for conveying the relationship where one set contains all the elements of another set, or both sets are equal. This relation is crucial for understanding hierarchies and inclusion within sets.

Mathematical symbol 'Superset of or Equal To'

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Codes for the ⊇ Symbol

The Symbol
Alt CodeAlt 8839
HTML Code⊇
HTML Entity⊇
CSS Code\2287
Hex Code⊇
UnicodeU+2287

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 8839. 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: &#8839;</b>My symbol: ⊇

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

HTML TextOutput
<b>My symbol: &supe;</b>My symbol: ⊇

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

CSS and HTML TextOutput
<style>
span:after {
content: "\2287";}
</style>
<span>My symbol:</span>
My symbol: ⊇

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

HTML TextOutput
<b>My symbol: &#x2287;</b>My symbol: ⊇
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2287 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+2287. 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
2287
[Hold down Alt]
[Press x]

(The 2287 turns into ⊇. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2287. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2287"
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