Contents tagged with Norm

  • How to measure size of Vector

    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 Lp 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. 

    ||x||∞= maxi|xi|.