Category:Definitions/Absolute Value Function

This category contains definitions related to Absolute Value Function.
Related results can be found in Category:Absolute Value Function.

Let $x \in \R$ be a real number.

The absolute value of $x$ is denoted $\size x$, and is defined using the usual ordering on the real numbers as follows:

$\size x = \begin{cases} x & : x > 0 \\ 0 & : x = 0 \\ -x & : x < 0 \end{cases}$