Commit 6db8dfba authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent cd16a71a
Pipeline #19515 canceled with stage
...@@ -32,7 +32,7 @@ div\,\overrightarrow{X}}`$**$`\mathbf{\;=\dfrac{d\Phi_X}{d\tau}}`$**$`\;\mathbf{ ...@@ -32,7 +32,7 @@ div\,\overrightarrow{X}}`$**$`\mathbf{\;=\dfrac{d\Phi_X}{d\tau}}`$**$`\;\mathbf{
##### Expression de la divergence en coordonnées sphériques ##### Expression de la divergence en coordonnées sphériques
**$`\boldsymbol{\mathbf{\begin{align} **$`\boldsymbol{\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{grey{\;=\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}\\
\\ \\
...@@ -41,7 +41,7 @@ div\,\overrightarrow{X}\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\,= &\dfrac{1}{r^ ...@@ -41,7 +41,7 @@ div\,\overrightarrow{X}\color{black}{\;=\dfrac{d\Phi_X}{d\tau}}\,= &\dfrac{1}{r^
<br> <br>
**$`\mathbf{\boldsymbol{\begin{align} **$`\mathbf{\boldsymbol{\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{gray}{\;=\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}\end{align}}}`$** & \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}\end{align}}}`$**
......
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