The weighted projective space $\mathbb{P} = \mathbb{P}(2,2,3,3,3,3)$ can be embedded into a $\mathbb{P}^{13}$ using the very ample line bundle ${\cal O}_{\mathbb{P}}(6)$. This procedure computes the image of a projective variety in $\mathbb{P}(2,2,3,3,3,3)$ under this embedding and the corresponding map on coordinate rings. We can examine the image variety in a standard projective space to decide whether the original variety is smooth or not.
The object modelInP13 is a method function.