# Definition:Floor Function/Definition 3

## Definition

Let $x$ be a real number.

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

$\floor x \le x < \floor x + 1$

## Technical Note

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

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

\floor x