[Analysis] Small fixes

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2026-01-31 13:25:57 +01:00
parent 091b1738a2
commit 457597ea53
3 changed files with 4 additions and 2 deletions

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@@ -42,6 +42,7 @@ we can compute the partial derivative using the chain rule as follows:
$\frac{\partial g}{\partial \phi} = \frac{\partial g}{\partial x} \cdot \frac{\partial x}{\partial \phi}
+ \frac{\partial g}{\partial y} \cdot \frac{\partial y}{\partial \phi} + \frac{\partial g}{\partial z} \cdot \frac{\partial z}{\partial \phi}$
where all $\frac{\partial g}{\partial x}$, etc are known from the gradient and the other elements can be computed quickly from the known equations.
The chain rule for higher or lower dimensional functions is as one would expect from the above formula.
Finally, evaluate $\frac{\partial g}{\partial \phi}$ at the required points and compute the result.