# Definition:Ceiling Function/Definition 3

## Definition

Let $x$ be a real number.

The ceiling function of $x$ is the unique integer $\ceiling x$ such that:

$\ceiling x - 1 < x \le \ceiling x$

## Technical Note

The $\LaTeX$ code for $\ceiling {x}$ is \ceiling {x} .

When the argument is a single character, it is usual to omit the braces:

\ceiling x