Differences

This shows you the differences between two versions of the page.

--- test:t1 [2013/09/29 22:57] – created admin
+++ test:t1 [2023/11/01 14:44] (current) – external edit 127.0.0.1
@@ Line 9: / Line 9: @@
 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 $x'^r = f^r(x^1, ..., x^N)$ $(r = 1, ..., N)$.