Standard coordinates

Definition

For each $n\in\mathbb{N}$ the Euclidean space $\mathbb{R}^n$ is a smooth $n$-manifold with the smooth structure determined by the atlas determined by the single chart $(\mathbb{R}^n,\text{Id}_{\mathbb{R}^n})$

This structure is the standard smooth structure on $\mathbb{R}^n$ and the resulting coordinate map yields the (so called) standard coordinates

The only standard thing is that we deal with them already