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
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