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# Latex ceiling function

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The ceiling function is a mathematical function that associates with any real number $x$ the smallest integer $n$ such that $n \geq x$, and is often noted as $\lceil x \rceil$ or $\operatorname{ceil}(x)$. In other words, the ceiling of $x$ is the smallest integer greater than or equal to $x$.

## LaTeX Code

The ceil function can be easily implemented in LaTeX using the following command:


\lceil x \rceil


$\lceil x \rceil$

## Ceil Function

The ceil function is formally defined as:


$$\lceil x \rceil = \operatorname{min}\{n \in \mathbb{Z} : n \geq x\}$$


$$\lceil x \rceil = \operatorname{min}\{n \in \mathbb{Z} : n \geq x\}$$

## Example of Use

Suppose we want to round the number $x=4.7$ up to the nearest integer. We can use the $\lceil x \rceil$ function, which returns the smallest integer greater than or equal to $x$. In this case, we have:


$$\lceil 4.7 \rceil = 5$$


$$\lceil 4.7 \rceil = 5$$