The Mathematical Symbol "Right Ceiling (⌉)"

The "Right Ceiling" Symbol (⌉)

The ⌉ symbol is commonly referred to as the "right ceiling" in mathematical notation. It is used in pairs with the "left ceiling" symbol to enclose expressions. Together, they're represented as "ceiling brackets."

Usage of ⌉

The main function of the ceiling function, represented by the symbols ⌈ and ⌉, is to round a number up to the nearest integer. It always rounds towards positive infinity, regardless of the sign of the number it's applied to.

Example 1: Rounding up Real Numbers

For a real number x, the ceiling of x is the smallest integer greater than or equal to x. For instance, for the number 4.2, ceiling(4.2) is represented as ⌈4.2⌉ = 5.

Example 2: Handling Negative Numbers

The ceiling function doesn't necessarily return a positive value. For example, the ceiling of -4.2 is represented as ⌈-4.2⌉ = -4.

Significance in Different Fields

The ceiling function is fundamental in many areas:

  • Computer Science: The ceiling function is used in algorithms where rounding up is required, such as in certain sorting or allocation algorithms.
  • Mathematics: It aids in number theory and real analysis problems.
  • Engineering: Engineers might use it in calculations where components or units cannot be broken down further and hence need to be rounded up.

In summary, the ⌉ symbol, as a part of the ceiling function, provides a concise way to represent the action of rounding numbers up to the closest integer.

Mathematical symbol 'Right Ceiling'

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Codes for the ⌉ Symbol

The Symbol
Alt CodeAlt 8969
HTML Code⌉
HTML Entity⌉
CSS Code\2309
Hex Code⌉

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 8969. 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: &#8969;</b>My symbol: ⌉

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

HTML TextOutput
<b>My symbol: &rceil;</b>My symbol: ⌉

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

CSS and HTML TextOutput
span:after {
content: "\2309";}
<span>My symbol:</span>
My symbol: ⌉

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

HTML TextOutput
<b>My symbol: &#x2309;</b>My symbol: ⌉
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2309 to place the ⌉ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ⌉ is U+2309. 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:
[Hold down Alt]
[Press x]

(The 2309 turns into ⌉. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2309. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2309"
document.write("My symbol: " + str)
My symbol: ⌉