The floor and ceiling are common mathematical functions. In this post, we will learn how to typeset both in LaTeX!

## 1. Floor function in \(\LaTeX{}\)

The floor function \(f(x)\) takes a real number \(x\) as an input and returns the **greatest integer less than or equal** to \(x\).

`A floor function is denoted floor(x) or ⌊x⌋. The latter corresponds to square brackets without upper horizontal bars.`

In \(\LaTeX{}\), we use the commands `\lfloor`

and `\rfloor`

in math mode to get left and right symbols of the floor function. Check the following illustrative example:

% Floor function in LaTeX \documentclass{article} \begin{document} In \LaTeX{}, the floor function can be typeset using the commands: \verb|\lfloor| and \verb|\rfloor|. Here is an example: floor($x$)=$\lfloor x \rfloor$ \end{document}

Compiling this code yields:

For an extended size of floor symbol, we can addFor more details about controlling the size of these brackets, I invite you to read this post!`\left`

before`\lfloor`

command and`\right`

before`\rfloor`

command.

## 2. Ceiling function in \(\LaTeX{}\)

The ceiling function \(f(x)\) takes a real number \(x\) as an input and returns the **least integer greater than or equal** to \(x\). A ceiling function is denoted

A ceiling function is denoted ceil(x) or ⌈x⌉. The latter corresponds to square brackets without lower horizontal bars.

In \(\LaTeX{}\), we use the commands `\lceil`

and `\rceil`

in math mode to get left and right symbols of the ceiling function. Check the following illustrative example:

% Ceiling function in LaTeX \documentclass{article} \begin{document} In \LaTeX{}, the ceiling function can be typeset using the commands: \verb|\lceil| and \verb|\rceil|. Here is an example: ceil($x$)=$\lceil x \rceil$ \end{document}

This code produces:

For an extended size of ceiling symbol, we can addFor more details about controlling the size of these brackets, I invite you to read this post!`\left`

before`\lfloor`

command and`\right`

before`\rfloor`

command.

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