I will side with Xiao-Yong Jin, how does one compare 0.2 meters, 0.04 square meters, 0.008 cubic meters and so on ?
@Don You can also view gravity as a deformation of space. The black hole just bends space so much that all paths just come back to it whatever the speed you are traveling at. On Fri, Aug 18, 2017 at 1:05 PM, Xiao-Yong Jin <[email protected]> wrote: > That's a dimensionless ratio. > > > On Aug 18, 2017, at 11:19 AM, William Tanksley, Jr < > [email protected]> wrote: > > > > 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 > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
