Consider two $\underline{\text{injective}}$ functions $X: R^m \to R^n$ and $Y: R^m \to R^n$ with $m<n$. How do I decide if there exists a (smooth, invertible) coordinate transformation $\sigma: R^m\to R^m$ such that $X=Y\circ \sigma$?
2026-04-13 12:34:08.1776083648
When are two functions related by a coordinate change?
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