Volume in n Dimensions: Understanding the Meaning of n=0

[Sheldon Cooper]

Hello,
Surfing across the internet, I learned that the volume of a sphere in n dimensions can be expressed by
V(n) = (Π^(n/2)) / Γ((n/2)+1),
where n is the number of dimensions we are considering
But if we consider n=0, then we get 1. So, how do we interpret this? I mean what does volume in zero dimensions mean?
Thanks in advance

 

[Xepto]

Hello,
Surfing across the internet, I learned that the volume of a sphere in n dimensions can be expressed by
V(n) = (Π^(n/2)) / Γ((n/2)+1),
where n is the number of dimensions we are considering
But if we consider n=0, then we get 1. So, how do we interpret this? I mean what does volume in zero dimensions mean?
Thanks in advance

I am not an expert in this topic. If you want a simple answer, you can read Wikipedia, n-sphere
https://en.m.wikipedia.org/wiki/N-sphere

 

[WWGD]

Yes, this seems to be a matter of computing the Hausdorff 0-dimensional measure which coincides with the number of points. See the formula in the article quoted in the above post.