Were you disagreeing with me by pointing out that I was giving a dimensionless ratio, Xiao-Yong Jin? I'm not sure I see that as disagreement, simply as a factual statement.
That's how you compare things that are of different dimensions (and sometimes of different types). This one is a very important measure if you're running experiments or semirandom probes on a multidimensional space -- some experimental setups can reduce the dimensionality at some other cost. On Fri, Aug 18, 2017 at 11:13 AM Jimmy Gauvin <[email protected]> wrote: > 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 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
