Commit 7d5f5234 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent a6a65ce8
Pipeline #13000 canceled with stage
......@@ -549,16 +549,26 @@ sera ainsi un *courant local*.
lequel la norme $`\Vert\overrightarrow{X}\Vert`$ calculée sur tous les dC possibles prend sa valeur maximale :
<br>
**$`\mathbf{\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}`$**
**$`\mathbf{=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}}`$**
**$`\mathbf{=\dfrac{d\mathcal{C}_{\overrightarrow{X}}}{dS}}`$**
$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert&=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert & =\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
& =\dfrac{d\mathcal{C}_{\overrightarrow{X}}}{dS}
\end{align}`$
$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert & =\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
& =\dfrac{d\mathcal{C}_{\overrightarrow{X}}}{dS} \\
\end{align}`$
$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert &=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
&=\dfrac{d\mathcal{C}_{\overrightarrow{X}}}{dS}
\end{align}`$
**$`\begin{align}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert&=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
=\dfrac{d\mathcal{C}_{\overrightarrow{X}}{dS}
\Vert\overrightarrow{rot}\,\overrightarrow{X}\Vert &=\left(\displaystyle \lim_{C_{\circlearrowleft}\,\longrightarrow 0 \\ C_{\circlearrowleft} \leftrightarrow S_{\circlearrowleft}} \dfrac{\displaystyle\oint_C \overrightarrow{X}\cdot\overrightarrow{dC}}{\displaystyle\iint_S dS}\right)_{MAX}}\\
&=\dfrac{d\mathcal{C}_{\overrightarrow{X}}}{dS}
\end{align}`$**
......
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