3 ms·
It depends upon what metric you use to measure it. Of course with Euclidean it will as that seems to match our expectations for low dimensional space. I'm not
by tysam_and 3y ago
It depends upon what metric you use to measure it.
Of course with Euclidean it will as that seems to match our expectations for low dimensional space.
I'm not a mathematician so there is not much more that I could say on the matter at this juncture.
- j7ake 3y agoThe volume of an n-ball has been calculated for other non-Euclidean distances. For p goes to infinity, the unit "ball" becomes a "cube" of two units wide per side. https://en.wikipedia.org/wiki/Volume_of_an_n-ball#Balls_in_Lp_norms https://en.wikipedia.org/wiki/Volume_of_an_n-ball#Balls_in_L... https://www.johndcook.com/blog/2010/07/02/volumes-of-generalized-unit-balls/ https://www.johndcook.com/blog/2010/07/02/volumes-of-general...
- tysam_and 3y agoMany thanks, I've been wondering about this one for quite a while. <3 :))))