Absolute value function
= Absolute value function
{title2=$|x|$}
{wiki=Absolute_value}
= Absolute value
{synonym}
The absolute value function is convex by the triangle inequality:
$$
|tx+(1-t)y|\leq t|x|+(1-t)|y|.
$$
= Absolute value function
{title2=$|x|$}
{wiki=Absolute_value}
= Absolute value
{synonym}
The absolute value function is convex by the triangle inequality:
$$
|tx+(1-t)y|\leq t|x|+(1-t)|y|.
$$