Commit c7a1b1aa authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent e3881c32
Pipeline #14551 canceled with stage
...@@ -1013,10 +1013,11 @@ $`\begin{align}\Large{\color{brown}{\dfrac{d\mathbf{v}}{d\lambda}}}&=\dfrac{d}{d ...@@ -1013,10 +1013,11 @@ $`\begin{align}\Large{\color{brown}{\dfrac{d\mathbf{v}}{d\lambda}}}&=\dfrac{d}{d
&=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+v^a\,\dfrac{d\mathbf{e_a}}{d\lambda}\\ &=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+v^a\,\dfrac{d\mathbf{e_a}}{d\lambda}\\
\\ \\
&=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+v^a\,\underbrace{\dfrac{d\mathbf{e_a}}{dx^b}} &=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+v^a\,\underbrace{\dfrac{d\mathbf{e_a}}{dx^b}}
_{\color{brown}{=\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}} _{\color{blue}{=\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}}
\,\dfrac{dx^b}{d\lambda}\\ \,\dfrac{dx^b}{d\lambda}\\
\\ \\
&=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+v^a\,\dfrac{dx^b}{d\lambda}\,\Gamma_{ab}^{\;c}\,\mathbf{e_c} &=\dfrac{dv^a}{d\lambda}\,\mathbf{e_a}+\underbrace{v^a\,\dfrac{dx^b}{d\lambda}\,\Gamma_{ab}^{\;c}\,\mathbf{e_c}}
_{\color{blue}{\begin{array}{c}\text{a, b et c muets} \,\Longrightarrow \\ \text{interchangeables}\end{array}}
\end{align}`$ \end{align}`$
......
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