[AMR] updated first 4.5 sections

This commit is contained in:
2026-08-08 12:31:01 +02:00
parent 7cdba7dca9
commit c1bdbc64bf
20 changed files with 103 additions and 55 deletions
@@ -2,7 +2,7 @@
\label{sec:ms-lin}
$\vec{f}(\vec{x}) \approx \vec{f}(\vec{\overline{x}}) + \mat{J}_{\vec{f}} \big|_{x = \overline{x}}(\vec{x} - \vec{\overline{x}})$, $f'$, no vec in 1D; $\vec{\overline{x}}$ lin. p.
\shortdefinition[Jac.] $\mat{J}_{\vec{f}}$ rows for eq of $\vec{f}$; cols for vars of each eq.
\shortdefinition[Jacobian] $\mat{J}_{\vec{f}}$ rows for eq of $\vec{f}$; cols for vars of each eq.
It may also be a single value (if just one var in the state)
\shortdefinition[Gradient] $\nabla \vec{f}$ is vec, each comp. for par diff of var