Update cheatsheet.fr.md

12.temporary_ins/20.magnetostatics-vacuum/40.ampere-theorem-applications/30.cylindrical-current-distributions/10.rectilinear-current/20.ampere-local/20.overview/cheatsheet.fr.md

@@ -289,18 +289,19 @@ $`\mathbf{\forall M \in \mathscr{E}\; , \; B_{\rho}=B_z=0}`$
  
 * $`\Longrightarrow`$ l'expression du *rotarionnel de $`\overrightarrow{B}`$ se simplifie* en tout point de l'espace :   
 **$`\mathbf{\overrightarrow{rot}\,\overrightarrow{B}}`$**
-$`\begin{align}
-&\boldsymbol{\mathbf{\;=\left(\dfrac{1}{\rho}\,\dfrac{\partial B_z}{\partial\varphi}\;-\;\dfrac{\partial B_{\varphi}}{\partial z}\right)\,\overrightarrow{e_{\rho}}}}\\
+$`\require{\cancel}\begin{align}
+\color{brown}{\mathbf{\overrightarrow{rot}\,\overrightarrow{B}}}
+&\;=\left(\dfrac{1}{\rho}\,\dfrac{\partial B_z}{\partial\varphi}\;-\;\dfrac{\partial B_{\varphi}}{\partial z}\right)\,\overrightarrow{e_{\rho}}\\
 \\
-&\boldsymbol{\mathbf{\quad\; +\left(\dfrac{\partial B_{\rho}}{\partial z}\;-\;\dfrac{\partial B_z}{\partial \rho}\right)\,\overrightarrow{e_{\varphi}}}}\\
+&\quad\; +\left(\dfrac{\partial B_{\rho}}{\partial z}\;-\;\dfrac{\partial B_z}{\partial \rho}\right)\,\overrightarrow{e_{\varphi}}\\
 \\
-&\boldsymbol{\mathbf{\quad\; +
+&\quad\; +
 \,\dfrac{1}{\rho}\,\left(\dfrac{\partial (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\dfrac{\partial B_{\rho}}{\partial \varphi}\right)
-\,\overrightarrow{e_z}}}
+\,\overrightarrow{e_z}
 \end{align}`$**
 
 
-$`\require{\cancel}=\dfrac{1}{\rho}\cdot\dfrac{\partial\left(\rho\,E_{\rho}\right)}{\partial\,\rho}
+$`=\dfrac{1}{\rho}\cdot\dfrac{\partial\left(\rho\,E_{\rho}\right)}{\partial\,\rho}
 +\xcancel{\dfrac{1}{\rho}\cdot\dfrac{\partial\,E_{\varphi}}{\partial\,\varphi}}
 +\xcancel{\dfrac{\partial\,E_z}{\partial\,z}}`$
 **$`\mathbf{\quad\quad=\dfrac{1}{\rho}\cdot\dfrac{\partial\left(\rho\,E_{\rho}\right)}{\partial\,\rho}}`$**