The Mathematical Symbol "Right Floor (⌋)"

The "Right Floor" Symbol (⌋)

The ⌋ symbol, known as the "Right Floor" symbol, is commonly used in mathematics to denote the floor function's closing delimiter. Along with its counterpart, the left floor symbol (⌊), these symbols are used to enclose a number or an expression, indicating the operation of the floor function.

Understanding the Floor Function

The floor function, often represented as \( \lfloor x \rfloor \), is a mathematical function that takes a real number and gives the largest integer less than or equal to that number. In simpler terms, it "rounds down" the number to the nearest integer.

For instance:

  • \( \lfloor 5.8 \rfloor = 5 \)
  • \( \lfloor -2.3 \rfloor = -3 \)

Usage in Mathematics

The floor function is prevalent in various fields of mathematics, including number theory, combinatorics, and computer science. It is especially useful when we want to consider only the whole number part of a real number, disregarding its fractional part.

Notation

While the ⌊ and ⌋ symbols are the standard notation for the floor function, some texts might use alternative notations like brackets. However, the floor symbols are universally recognized and less prone to confusion.

Conclusion

The ⌋ symbol, along with its left counterpart, encapsulates the essence of the floor function, which has fundamental significance in mathematics. By "rounding down" numbers to the nearest integer, the floor function provides a bridge between real numbers and integers, enabling deeper explorations into the properties of numbers.

Mathematical symbol 'Right Floor'

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Codes for the ⌋ Symbol

The Symbol
Alt CodeAlt 8971
HTML Code⌋
HTML Entity⌋
CSS Code\230B
Hex Code⌋
UnicodeU+230B

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 8971. 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: &#8971;</b>My symbol: ⌋

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

HTML TextOutput
<b>My symbol: &rfloor;</b>My symbol: ⌋

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

CSS and HTML TextOutput
<style>
span:after {
content: "\230B";}
</style>
<span>My symbol:</span>
My symbol: ⌋

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

HTML TextOutput
<b>My symbol: &#x230B;</b>My symbol: ⌋
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x230B 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+230B. 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
230B
[Hold down Alt]
[Press x]

(The 230B turns into ⌋. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u230B. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u230B"
document.write("My symbol: " + str)
My symbol: ⌋