Recent content by huberscher

I don't get it: If I consider the norms of those vectors I have with x=(x_1,...,x_n) \vec{x}*\frac{1}{1-x_{n+1}} =\vec{y} so x_{n+1}=\frac{\|y\|-\|x\|}{\|y\|} but then I still have this y. What the trick here to get those x_{n+1}?

hi there I'd like to show that the sphere \mathbb{S}^n := \{ x \in \mathbb{R}^{n+1} : |x|=1 \} is the one-point-compactification of \mathbb{R}^n (*) After a lot of trying I got this function: f: \mathbb{S}^n \setminus \{(0,...,0,1)\} \rightarrow \mathbb{R}^n (x_1,...,x_{n+1})...