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Commit 4121b111 authored by Claude Meny's avatar Claude Meny
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Update cheatsheet.fr.md

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    12.temporary_ins/08.grad-div-rot/20.div/20.overview/cheatsheet.fr.md
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    ...@@ -32,11 +32,13 @@ div\,\overrightarrow{X}}\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\, = &\dfrac{1}{ ...@@ -32,11 +32,13 @@ div\,\overrightarrow{X}}\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\, = &\dfrac{1}{
    & \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi} & \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}
    \end{align}}}`$** \end{align}}}`$**
    **$`\begin{align}\mathbf{ **$`\mathbf{\begin{align}
    div\,\overrightarrow{X} = \color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\,= &\dfrac{1}{r^2}\;\dfrac{\partial\,(r^2\,X_r}{\partial\,r}\\ div\,\overrightarrow{X} = \color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\,= &\dfrac{1}{r^2}\;\dfrac{\partial\,(r^2\,X_r}{\partial\,r}\\
    \\
    & \quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,(sin\,\theta\,X_{\theta})}{\partial\,\theta}\\ & \quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,(sin\,\theta\,X_{\theta})}{\partial\,\theta}\\
    \\
    & \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi} & \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}
    }\end{align}`$** \end{align}}`$**
    **$`\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}`$** **$`\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}`$**
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