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Equal To or Succeeds

The Mathematical Symbol "Equal To or Succeeds (⋟)"

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The ⋟ Symbol in Mathematics: Equal To or Succeeds

Mathematics is adorned with myriad symbols, each encapsulating a distinct idea. Among this diverse collection, the ⋟ symbol, representing "Equal To or Succeeds", finds its place, especially in the domain of order theory. This article offers insights into its significance, complemented by illustrative examples.

Usage

The ⋟ symbol is predominantly used in order theory, a mathematical discipline that delves into the intricacies of binary relations on sets. It signifies that an element either equals another or succeeds it in a defined order.

Examples

  • Example 1: Consider a set of numbers \( S = \{1, 2, 3, 4\} \). Given two elements \( a = 3 \) and \( b = 3 \):
    \( a ⋟ b \)
    This expression indicates that \( a \) is either equal to or succeeds \( b \) within the order established by set \( S \). Here, \( a \) is equal to \( b \).
  • Example 2: Referring to the same set \( S \), for \( c = 3 \) and \( d = 2 \):
    \( c ⋟ d \)
    In this instance, \( c \) succeeds \( d \) in the sequence defined by set \( S \).

In summary, the ⋟ symbol furnishes a concise method to represent the relationship of either equality or succession between elements in an ordered context. It's pivotal in capturing essential relations in order theory and various related mathematical subfields.

Mathematical symbol 'Equal To or Succeeds'

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Codes for the ⋟ Symbol

The Symbol
Alt CodeAlt 8927
HTML Code⋟
HTML Entity⋟
CSS Code\22DF
Hex Code⋟
UnicodeU+22DF

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 8927. 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: &#8927;</b>My symbol: ⋟

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

HTML TextOutput
<b>My symbol: &cuesc;</b>My symbol: ⋟

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

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

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

HTML TextOutput
<b>My symbol: &#x22DF;</b>My symbol: ⋟
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22DF 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+22DF. 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
22DF
[Hold down Alt]
[Press x]

(The 22DF turns into ⋟. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22DF. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22DF"
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.

More Symbols

Full List of Mathematical Symbols