[Jprogramming] "n-volume" of an "n-sphere"

[Raul Miller]

On Wed, Aug 16, 2017 at 10:12 AM, Murray Eisenberg
<murray at math.umass.edu> wrote:
...
> Of course, an exact formula for the n-dimensional measure of the unit n-ball is known:
>
>                      Pi^(n/2)
>       V(n) =   ————----------
>                     Gamma(1+n/2)

Which brings us back to the first line of the first post in this thread:

sphvol=: (1p1&^%!)@-:@] * ^

(The difference between sphvol and V(n) is that sphvol handles spheres
of any radius while V(n) assumes unit radius. That said, 1&sphvol
gives you the n-volume for a unit n-ball.)

Thanks,

-- 
Raul