- #1

#### trees and plants

i) d(x,y)=0<=>x=y

ii)d(x,y)=d(y,x)

iii)d(x,z)≤(d

^{2}(x,y)+d

^{2}(y,z))

^{1/2}

∀ x,y,z ∈ V.

What do you say? Would this function have interesting properties on a set and theorems to be studied? I think perhaps it is not in the math literature. It somehow contradicts the Euclidean distance but also allows for it if someone wants. Sorry if i should not start a thread like this, because it is not perhaps in the math literature. Is it wrong if i write things like these in physics forums? What kind of things should i write about? What is allowed?