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
