Commit 0f9e5fa5 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 60b4ce6d
Pipeline #19518 canceled with stage
......@@ -18,8 +18,7 @@ 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}
}`$**
<br>**$`
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}
<br>**$`div\,\overrightarrow{X}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z}
`$**
##### Expression de la divergence en coordonnées cylindriques
......@@ -44,10 +43,10 @@ div\,\overrightarrow{X}\color{grey{\;=\;\dfrac{d\Phi_X}{d\tau}}\,=\; &\dfrac{1}{
<br>
**$`\mathbf{\boldsymbol{\begin{align}
**$`\mathbf{\boldsymbol{\begin{matrix}
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\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}\end{align}}}`$**
& \quad\quad\quad\quad + \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}\end{matrix}}}`$**
<br>
......
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment