Commit 1d4bf354 authored by Claude Meny's avatar Claude Meny

Update cheatshhet.fr.md

parent 34a51f1a
Pipeline #13052 canceled with stage
...@@ -57,11 +57,11 @@ GRADIENT D'UN CHAMP SCALAIRE ...@@ -57,11 +57,11 @@ GRADIENT D'UN CHAMP SCALAIRE
Coordonnées cartésiennes : Coordonnées cartésiennes :
$`\begin{align} $`\begin{align}
\overrightarrow{grad}\,V &=\dfrac{\partial V}{\partial x}\,\overrightarrow{e_x}+\dfrac{\partial V}{\partial y}\,\overrightarrow{e_y}+\dfrac{\partial V}{\partial z}\,\overrightarrow{e_z} \\ \overrightarrow{grad}\,V &=\dfrac{\partial V}{\partial x}\,\overrightarrow{e_x}+\dfrac{\partial V}{\partial y}\,\overrightarrow{e_y}+\dfrac{\partial V}{\partial z}\,\overrightarrow{e_z} \\
&=\nabla\,V &=\overrightarrow{nabla}\,V
\end{align}`$ \end{align}`$
  avec opérateur nabla :   avec opérateur nabla :
  $`\nabla=\dfrac{\partial}{\partial x}\,\overrightarrow{e_x}+\dfrac{\partial}{\partial y}\,\overrightarrow{e_y}+\dfrac{\partial}{\partial z}\,\overrightarrow{e_z}`$   $`\overrightarrow{nabla}=\dfrac{\partial}{\partial x}\,\overrightarrow{e_x}+\dfrac{\partial}{\partial y}\,\overrightarrow{e_y}+\dfrac{\partial}{\partial z}\,\overrightarrow{e_z}`$
Coordonnées cylindriques : Coordonnées cylindriques :
$`\overrightarrow{grad}\,V=\dfrac{\partial V}{\partial \rho}\,\overrightarrow{e_{\rho}}+\dfrac{1}{\rho}\,\dfrac{\partial V}{\partial \varphi}\,\overrightarrow{e_{\varphi}}+\dfrac{\partial V}{\partial z}\,\overrightarrow{e_z}`$ $`\overrightarrow{grad}\,V=\dfrac{\partial V}{\partial \rho}\,\overrightarrow{e_{\rho}}+\dfrac{1}{\rho}\,\dfrac{\partial V}{\partial \varphi}\,\overrightarrow{e_{\varphi}}+\dfrac{\partial V}{\partial z}\,\overrightarrow{e_z}`$
......
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