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Greater-Than But Not Equivalent To

The Mathematical Symbol "Greater-Than But Not Equivalent To (⋧)"

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The ⋧ Symbol in Mathematics: Greater-Than But Not Equivalent To

Mathematics is a discipline rich in symbolism, enabling the succinct expression of complex relations and concepts. One such lesser-known but significant symbol is ⋧, which denotes a specific kind of inequality. This article will illuminate its meaning and provide examples of its application.

Usage

The ⋧ symbol communicates a particular relationship: a value or expression is "greater than" another but not equivalent in some particular sense or under a certain equivalence relation. This symbol finds its niche in advanced mathematical topics, especially when working with equivalence relations that have exceptions or exclusions.

Examples

  • Example 1: Equivalence Classes:
    Imagine an equivalence relation where most members of a set are equivalent, but there are certain exceptions. If \( a \) is one of those exceptions with respect to \( b \), we might write \( a ⋧ b \), meaning \( a \) is greater than \( b \) but not equivalent to it under the defined relation.
  • Example 2: Advanced Inequalities:
    In certain mathematical contexts, we might want to emphasize not just an inequality but also a lack of a specific kind of equivalence. If \( f(x) ⋧ g(x) \), it implies \( f(x) \) is greater than \( g(x) \) but not equivalent in the defined sense.

In summary, the ⋧ symbol encapsulates a nuanced relation that goes beyond mere inequality. While it's not as widespread as other mathematical symbols, understanding its meaning is crucial for certain advanced topics that require a precise expression of relationships.

Mathematical symbol 'Greater-Than But Not Equivalent To'

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Codes for the ⋧ Symbol

The Symbol
Alt CodeAlt 8935
HTML Code⋧
HTML Entity⋧
CSS Code\22E7
Hex Code⋧
UnicodeU+22E7

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 8935. 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: &#8935;</b>My symbol: ⋧

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

HTML TextOutput
<b>My symbol: &gnsim;</b>My symbol: ⋧

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

CSS and HTML TextOutput
<style>
span:after {
content: "\22E7";}
</style>
<span>My symbol:</span>
My symbol: ⋧

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

HTML TextOutput
<b>My symbol: &#x22E7;</b>My symbol: ⋧
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22E7 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+22E7. 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
22E7
[Hold down Alt]
[Press x]

(The 22E7 turns into ⋧. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22E7. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22E7"
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