# Neither Greater-Than nor Less-Than

## The Mathematical Symbol "Neither Greater-Than nor Less-Than (≹)"

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Exploring the "Neither Greater-Than nor Less-Than" Symbol (≹)

Mathematics boasts a wide array of symbols that convey specific meanings and relations. One such symbol is ≹, representing the concept of "Neither Greater-Than nor Less-Than". In this article, we'll delve into the intricacies of this symbol and its application within various mathematical contexts.

## Deciphering ≹

The ≹ symbol articulates a relationship where neither of the two compared entities is greater or lesser than the other, yet they aren't necessarily equal either. This nuanced distinction is essential in areas where there are different ways to compare entities that aren't strictly numerical.

Example 1: Numerical Context

Let's consider two real numbers, $$a$$ and $$b$$. If $$a$$ is neither greater than nor less than $$b$$, but they aren't explicitly equal, the relationship is: $a ≹ b$

Example 2: Complex Numbers

Suppose we have two complex numbers $$z_1$$ and $$z_2$$. In complex numbers, there isn't a straightforward notion of 'greater than' or 'less than'. Here, one might use: $z_1 ≹ z_2$ to imply that neither of the complex numbers is dominant in magnitude, yet they aren't identically equal.

## Real-world Uses of ≹

Applications of the ≹ notation include:

• Mathematical Analysis: Especially in areas where standard relational operators might not be directly applicable.
• Computer Science: For non-traditional data comparisons, such as certain algorithms that deal with non-numerical data structures.
• Physics: In contexts where two entities can't be directly compared using standard metrics.

To conclude, the ≹ symbol plays a crucial role in providing a middle ground between the traditional relational operators. It encapsulates the intricacy and depth of mathematical relationships, emphasizing the importance of precision in technical communications.

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## Codes for the ≹ Symbol

 The Symbol ≹ Alt Code Alt 8825 HTML Code ≹ HTML Entity ≹ CSS Code \2279 Hex Code ≹ Unicode U+2279

## 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 8825. 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: &#8825;</b>My symbol: ≹

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

HTML TextOutput
<b>My symbol: &ntgl;</b>My symbol: ≹

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

CSS and HTML TextOutput
<style>
span:after {
content: "\2279";}
</style>
<span>My symbol:</span>
My symbol: ≹

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

HTML TextOutput
<b>My symbol: &#x2279;</b>My symbol: ≹
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2279 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+2279. 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
2279
[Hold down Alt]
[Press x]

(The 2279 turns into ≹. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2279. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2279"
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