Sure you can compare; the difference is how hard it is to find the sphere when all you have is a bounding box and an RNG.
On Fri, Aug 18, 2017 at 7:16 AM Xiao-Yong Jin <[email protected]> wrote: > You can't compare quantities with different dimensions. > It's meaningless, like saying the water in your cup in cm^3 is larger than > your height in cm. > > > On Aug 17, 2017, at 9:09 PM, David Lambert <[email protected]> wrote: > > > > Largest spheres found in dimensionality near five and a quarter. > > > > Beautiful mathematics, and need string theory limit itself to integral > dimensions? > > > > boxdraw_j_ 1 > > load'~addons/math/misc/amoeba.ijs' > > sphvol=: (1p1&^%!)@-:@] * ^ > > g=: -@:(1&sphvol) > > g amoeba(<16)Y=:2 1$4.1 5.8 > > +-------+--------+ > > |5.25692|_5.27777| > > +-------+--------+ > > > > > > On 08/16/2017 08:00 AM, [email protected] wrote: > >> Date: Tue, 15 Aug 2017 19:33:09 +0000 > >> From: Ben Gorte - CITG<[email protected]> > >> To:"[email protected]" <[email protected]> > >> Subject: Re: [Jprogramming] "n-volume" of an "n-sphere" > >> Message-ID: > >> <[email protected]> > >> Content-Type: text/plain; charset="us-ascii" > >> > >> A little surprise (to me) was > >> plot 1 sphvol i.30 > >> (for example) > >> > >> Can you predict it? > >> > >> greetings, > >> Ben > >> ________________________________________ > >> From: Programming [[email protected]] on behalf > of Raul Miller [[email protected]] > >> Sent: Tuesday, August 15, 2017 19:55 > >> To: Programming forum > >> Subject: [Jprogramming] "n-volume" of an "n-sphere" > >> > >> 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 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
