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Update 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

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

@@ -305,7 +305,7 @@ $`\require{\cancel}\begin{align}
 &\quad\; +\left(\xcancel{\dfrac{\partial B_{\rho}}{\partial z}}\;-\;\xcancel{\dfrac{\partial B_z}{\partial \rho}}\right)\,\overrightarrow{e_{\varphi}}\\
 \\
 &\quad\; +
-\,\dfrac{1}{\rho}\,\left(\dfrac{\partial (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\xcancel{\dfrac{\partial B_{\rho}}{\partial \varphi}}\right)
+\,\dfrac{1}{\rho}\,\left(\dfrac{\partial\, (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\xcancel{\dfrac{\partial B_{\rho}}{\partial \varphi}}\right)
 \,\overrightarrow{e_z}\\
 \\
 &\boldsymbol{\mathbf{\color{brown}{\;=\dfrac{1}{\rho}\,\dfrac{\partial \,(\,\rho\,B_{\varphi})}{\partial \rho}\,\overrightarrow{e_z}}}}
@@ -317,7 +317,7 @@ $`\require{\cancel}\begin{align}
 ! Si cette démonstration précédente est réalisée, il est alors possible d'utiliser son résultat pour écrire simùplement : <br>
 ! $`\require{\cancel}\begin{align}
 ! \overrightarrow{rot}\,\overrightarrow{B}
-! &\;= \,\dfrac{1}{\rho}\,\left(\dfrac{\partial (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\xcancel{\dfrac{\partial B_{\rho}}{\partial \varphi}}\right)
+! &\;= \,\dfrac{1}{\rho}\,\left(\dfrac{\partial \,(\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\xcancel{\dfrac{\partial B_{\rho}}{\partial \varphi}}\right)
 ! \,\overrightarrow{e_z}\\
 ! &\;=\dfrac{1}{\rho}\,\dfrac{\partial \,(\,\rho\,B_{\varphi})}{\partial \rho}\,\overrightarrow{e_z}
 ! \end{align}`$