Nice sentence. Is it accurate for higher dimensions too? To me it seems a bit counterintuitive that after n=6, the n-volume rapidly declines until almost zero.
For instance: load 'plot' plot 1 sphvol i. 100 Best regards, Jan-Pieter On 15 Aug 2017 7:55 p.m., "Raul Miller" <[email protected]> wrote: > sphvol=: (1p1&^%!)@-:@] * ^ > 1 sphvol 3 > 4.18879 > 1 sphvol i.7 > 1 2 3.14159 4.18879 4.9348 5.26379 5.16771 > > Left argument is the radius of the "n-sphere". > > Right argument is the number of dimensions. > > I put "n-volume" in quotes, because if the dimension is 2 (for > example), the "n-volume" is what we call the area of the circle. (And > if the dimension is 1 that "n-volume" is the length of a line > segment). > > Anyways, I stumbled across this and thought it might be interesting > for someone else. > > Thanks, > > -- > Raul > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
