[AMR] Many learnings from exercises

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janishutz committed 2026-08-03 15:50:56 +02:00
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commit a106331872
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@@ -4,5 +4,9 @@ $\vec{f}(\vec{x}) \approx \vec{f}(\vec{\overline{x}}) + \mat{J}_{\vec{f}} \big|_
\shortdefinition[Jac.] $\mat{J}_{\vec{f}}$ rows for eq of $\vec{f}$; cols for vars of each eq.
\shortdefinition[Gradient] $\nabla \vec{f}$ is vec, each comp. for par diff of var
Part. diff; Approx. using finite differences $\frac{f(\overline{x} + h) - f(\overline{x})}{h}$,\\
or central differences (vector of $\frac{\vec{f}(\vec{\overline{x}}) + h_i \vec{e_i}}{h_i}$, with $\vec{e_i}$ unit vec)
% TODO: Expand this