Radial Projection Function

Definition

The radial projection function,

$${\mathbb{R}}^n-\{0\}\to {\mathbb{R}}^n-\{0\}$$

where

$$\overline{x}\to \frac{\overline{x}}{||\overline{x}||}$$

is also continuous, However, to get the inverse of the function, we must duplicate the output.