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Greater-Than or Equivalent To

The Mathematical Symbol "Greater-Than or Equivalent To (≳)"

homesitemapsymbolsgreater-than or equivalent to

The ≳ Symbol in Mathematics: Greater-Than or Equivalent To

The ≳ symbol, while not as widespread as some other mathematical notations, holds a significant role in specific contexts. It represents a relation where one entity is either greater than another or equivalent in a particular sense.

Usage

The ≳ sign is applied in situations where there's a need to convey that an entity, while not strictly greater than another, exhibits a behavior or property that makes it "essentially equivalent" or "on par" with the other. This nuanced relationship is crucial in advanced mathematical topics where strict inequalities may not capture the essence of a relation.

Examples

  • Example 1: Asymptotic Behavior:
    Consider two functions \( f(x) \) and \( g(x) \). If as \( x \) approaches infinity, the ratio \( f(x) / g(x) \) approaches 1, then \( f \) is said to be asymptotically equivalent to \( g \), and it can be denoted as \( f(x) ≳ g(x) \).
  • Example 2: Equivalence in Complexity:
    In computational theory, two algorithms might have a performance or complexity that's essentially equivalent for large inputs, even if one technically outperforms the other. This "big picture" relation could be represented with ≳.

In summary, the ≳ symbol provides a nuanced way to represent relations that are more intricate than simple inequalities. Its presence underscores the richness of mathematical language and the need for various notations to capture the breadth of mathematical relationships.

Mathematical symbol 'Greater-Than or Equivalent To'

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Codes for the ≳ Symbol

The Symbol
Alt CodeAlt 8819
HTML Code≳
HTML Entity≳
CSS Code\2273
Hex Code≳
UnicodeU+2273

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 8819. 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: &#8819;</b>My symbol: ≳

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

HTML TextOutput
<b>My symbol: &gsim;</b>My symbol: ≳

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

CSS and HTML TextOutput
<style>
span:after {
content: "\2273";}
</style>
<span>My symbol:</span>
My symbol: ≳

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

HTML TextOutput
<b>My symbol: &#x2273;</b>My symbol: ≳
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2273 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+2273. 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
2273
[Hold down Alt]
[Press x]

(The 2273 turns into ≳. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2273. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2273"
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