Cauchy-Schwarz Inequality

“The Cauchy-Schwarz Inequality is considered one of the most important and widely inequalities in mathematics”

I learned in my Linear 2 class at Marianopolis College. But to be honest, I kind of forgot most of this.

$\Vert u+v\Vert \le (\Vert u\Vert +\Vert v\Vert {)}^2$ A consequence of this is the Triangle Inequality: $\Vert u+v\Vert \le \Vert u\Vert +\Vert v\Vert$