P-norm of a Vector

Wouldn't that be outside the norm....?

Norm can be defined in many ways. One way is the p-norm. WHen p= 2 we have the classic norm which gives us the lenght of the vector. If we use p=1 we have the sum of components called 1-norm. For p=infinite we have that the "infinite-norm" is the maximum entry of x. Now, when do we use p=4, 5, 6 or 7??

p = 2.5 is actually used for some pipe calculations, though some users might not recognize this abstract description.

What an interesting application. What kind of calculations are those?

I found in a book that p=4 was used in The Sergel Plaza in Stockholm, Sweden.

The Darcy-Weisbach piping formula is basically this same idea. I also remember the "superellipse" plaza in Sweden.

Your first premise is wrong! (We all have heard about the P-norm of a vector x.)

I have used vectors on a regular basis for over 40 years, but if I ever heard of the p-norm of a vector, I have totally forgotten about it!

It is, of course possible that I heard of it 40 years ago, and forgot about it 39.9 years ago... I've certainly never made use of it.