Commit 7cdd36a2 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent dd306641
Pipeline #14525 canceled with stage
...@@ -886,20 +886,22 @@ $`\begin{align} ...@@ -886,20 +886,22 @@ $`\begin{align}
\\ \\
&=(\partial_b\,v^a)\;\mathbf{e_a} + v^a\,(\partial_b\;\mathbf{e_a})\\ &=(\partial_b\,v^a)\;\mathbf{e_a} + v^a\,(\partial_b\;\mathbf{e_a})\\
\\ \\
&=(\partial_b\,v^a)\,\mathbf{e_a})+\underbrace{v^a\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}_{\text{a et c muets}\Rightarrow\text{interchangeables}}\\ &=(\partial_b\,v^a)\,\mathbf{e_a}+\underbrace{v^a\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}_{\color{brown}{
\begin{array}{c}\text{a et c muets}\\ \Rightarrow \\ \text{interchangeables}\end{array}}}\\
\\ \\
&\Large{\color{blue}{=(\partial_b\,v^a) + v^a\,\Gamma_{cb}^{\;a})\,\mathbf{e_a}}} &\Large{\color{blue}{=\big(\partial_b\,v^a + v^a\,\Gamma_{cb}^{\;a}\big)\,\mathbf{e_a}}}
\end{align}`$ \end{align}`$
$`\begin{align} $`\begin{align}
\Large{\color{blue}{\partial_b\mathbf{v}}}&=\partial_b\,(v^a\,\mathbf{e_a})\\ \Large{\color{blue}{\partial_b\mathbf{v}}}&=\partial_b\,(v^a\,\mathbf{e_a})\\
\\ \\
&=(\partial_b\,v^a)\;\mathbf{e_a} + v^a\,(\partial_b\;\mathbf{e_a})\\ &=(\partial_b\,v^a)\;\mathbf{e_a} + v^a\,(\partial_b\;\mathbf{e_a})\\
\\ \\
&=(\partial_b\,v^a)\,\mathbf{e_a}+\underbrace{v^a\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}_{\color{brown}{ &=(\partial_b\,v^a)\,\mathbf{e_a}+\underbrace{v^a\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}_{\color{brown}{
\begin{array}{c}\text{a et c muets}\\ \Rightarrow \\ \text{interchangeables}\end{array}}}\\ \begin{array}{c}\text{a et c muets} \Rightarrow \\ \text{interchangeables}\end{array}}}\\
\\ \\
&\Large{\color{blue}{=\big(\partial_b\,v^a + v^a\,\Gamma_{cb}^{\;a}\big)\,\mathbf{e_a}}} &\Large{\color{blue}{=\bigg(\partial_b\,v^a + v^a\,\Gamma_{cb}^{\;a}\bigg)\,\mathbf{e_a}}}
\end{align}`$ \end{align}`$
......
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