# Norm

A generalisation of the concept of length, a norm is a function of a class of arithmetic objects, written $$\|x\|$$, that returns a real value having the following properties
\begin{align*} \|x\| &\geqslant 0\\ \|ax\| &= |a|\|x\|\\ \|x+y\| &\leqslant \|x\| + \|y\| \end{align*}
for arithmetic objects $$x$$ and $$y$$ and real value $$a$$.

### Gallimaufry

 AKCalc ECMA Endarkenment Turning Sixteen

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