Category:Examples of Modulo Operation

This category contains examples of Modulo Operation.

Let $x, y \in \R$ be real numbers.

Then the modulo operation is defined and denoted as:

$x \bmod y := \begin{cases}

x - y \floor {\dfrac x y} & : y \ne 0 \\ x & : y = 0 \end{cases}$

where $\floor {\, \cdot \,}$ denotes the floor function.