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--- test:t1 [2013/09/29 22:57] – created admin
+++ test:t1 [2023/11/01 14:44] (current) – external edit 127.0.0.1
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 A coordinate change is a set of functions  $f^r(x^1, ..., x^N)$   $(r = 1, ..., N)$ .
-It assigns a new set of coordinates $(x'^1, ..., x'^N)$ to a point  $(x^1, ..., x^N)$ , wit  $x'^r = f^r(x^1, ..., x^N)$   $(r = 1, ..., N)$ .
+One generally supposes that  $J' = \left|\frac{\partial x'^{r}}{\partial x^{s}}\right|$  does not vanish.
+The new coordinates of a point  $(x^1, ..., x^N)$  are $(x'^1, ..., x'^N)$ where  $x'^r = f^r(x^1, ..., x^N)$   $(r = 1, ..., N)$ .