Hard hyperspheres: Difference between revisions

Revision as of 10:45, 16 October 2008

Hard hyperspheres are hard spheres in more than three dimensions. The volume of an n-sphere of unit diameter is given by

v_{n}={\frac {(\pi /4)^{n/2}}{\Gamma (1+n/2)}}

where $\Gamma (m)$ is the Gamma function.

@@ Line 1: / Line 1: @@
 {{Stub-general}}
-==Volume==
+'''Hard hyperspheres''' are [[hard sphere model | hard spheres]] in more than three dimensions.
-The volume of a <math>d</math> sphere of unit diameter is given by
+The volume of an ''n''-sphere of unit diameter is given by
-:<math>v_d=\frac{(\pi / 4)^{d/2}}{\Gamma(1+ d/2)}</math>
+:<math>v_n=\frac{(\pi / 4)^{n/2}}{\Gamma(1+ n/2)}</math>
 where <math>\Gamma(m)</math> is the [[Gamma function]].