Hello everybody,

today  I want to share with everybody information about function that is known as norm. Here it is:

||x|| _p = ( Σ(|x|_i)^p) ^{p -1}

For p ∈ R, p ≥ 1

Also it is named as L^p norm. On intuition level it measures distance from some beginning point to locatio of x.

L² norm is often named Euclidian norm. Also due to heavy usage L²  is presented just as ||x|| with skipped 2. It means that if you see ||x|| it was intended to show you ||x||₂.

Sometime you can find L^∞ norm. It is nothing more then maximum value of vector.