Commit a6a65ce8 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 6eb52ed9
Pipeline #12999 canceled with stage
......@@ -549,12 +549,17 @@ sera ainsi un *courant local*.
lequel la norme $`\Vert\overrightarrow{X}\Vert`$ calculée sur tous les dC possibles prend sa valeur maximale :
<br>
**$`\mathbf{\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}`$**
**$`\mathbf{=\left(\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}}`$**
**$`\mathbf{=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}}`$**
**$`\mathbf{\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert&=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}`$\\
=\left(\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}
\end{align}}`$**
$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert&=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}
\end{align}`$
**$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert&=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}
\end{align}`$**
La **direction et sens de $`\Vert\overrightarrow{X}\Vert`$** sont *ceux de l'élément vectoriel de surface*
......
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