Commit 60b4ce6d authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent eecb00ab
Pipeline #19517 canceled with stage
...@@ -18,9 +18,9 @@ visible: false ...@@ -18,9 +18,9 @@ visible: false
div\,\overrightarrow{X}}`$**$`\mathbf{\;=\dfrac{d\Phi_X}{d\tau}}`$**$`\;\mathbf{=\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z} div\,\overrightarrow{X}}`$**$`\mathbf{\;=\dfrac{d\Phi_X}{d\tau}}`$**$`\;\mathbf{=\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z}
}`$** }`$**
<br>**$`\mathbf{ <br>**$`
div\,\overrightarrow{X}}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z} div\,\overrightarrow{X}}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z}
}`$** `$**
##### Expression de la divergence en coordonnées cylindriques ##### Expression de la divergence en coordonnées cylindriques
...@@ -36,7 +36,7 @@ div\,\overrightarrow{X}}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\pa ...@@ -36,7 +36,7 @@ div\,\overrightarrow{X}}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\pa
##### 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{grey{\;=\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}\\
\\ \\
......
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