David, you ment to write "Largest spheres with unit radius found in
dimensionality near five and a quarter."
Den 4:10 fredag den 18. august 2017 skrev David Lambert
<[email protected]>:
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
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