Commit 79d660c2 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 27892106
Pipeline #16226 canceled with stage
...@@ -241,18 +241,18 @@ $`\Longrightarrow\quad\overrightarrow{dl} \cdot \overrightarrow{B}=0`$ ...@@ -241,18 +241,18 @@ $`\Longrightarrow\quad\overrightarrow{dl} \cdot \overrightarrow{B}=0`$
$`\displaystyle\quad\quad\quad\quad +\int_{BC} \underbrace{\overrightarrow{B}(\rho_{BC})}_{\color{blue}{=\,0}}\cdot\overrightarrow{dl}_{BC} + \int_{CD}\underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{CD}}_{\color{blue}{\quad\;=\,0\\car\,\vec{B}\,\perp\,\vec{dl}_{CD}}}`$ $`\displaystyle\quad\quad\quad\quad +\int_{BC} \underbrace{\overrightarrow{B}(\rho_{BC})}_{\color{blue}{=\,0}}\cdot\overrightarrow{dl}_{BC} + \int_{CD}\underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{CD}}_{\color{blue}{\quad\;=\,0\\car\,\vec{B}\,\perp\,\vec{dl}_{CD}}}`$
<br> <br>
$`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{En se rappellant que}}}`$ $`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{En se rappellant que}}}`$
$`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{invariances + symétries }\Longrightarrow \vec{B}=B_z(\rho)\,\vec{e_z}}}`$ $`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{invariances + symétries }\Longrightarrow \vec{B}=B_z(\rho)\,\vec{e_z}}}`$
<br> <br>
$`\displaystyle\quad\quad\quad\quad = \int_{DA} \underbrace{\big(B_z(\rho_{DA})\overrightarrow{e_z}}\cdot\big(dz\,\overrightarrow{e_z}\big)`$ $`\displaystyle\quad\quad\quad\quad = \int_{DA}\big(B_z(\rho_{DA})\overrightarrow{e_z}\big)\cdot\big(dz\,\overrightarrow{e_z}\big)`$
<br> <br>
$`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{Le sens de parcours est indiqué}}}`$ $`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{Le sens de parcours est indiqué}}}`$
$`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{par l'ordre des bornes d'intégration}}}`$ $`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{par l'ordre des bornes d'intégration}}}`$
<br> <br>
$`\displaystyle\quad\quad\quad\quad = \int_{z=z_0}^{z=z_0+h} \underbrace{B_z(\rho_{DA})}\,dz`$ $`\displaystyle\quad\quad\quad\quad = \int_{z=z_0}^{z=z_0+h} B_z(\rho_{DA})\,dz`$
<br> <br>
$`\displaystyle\quad\quad\quad\quad = \Big[ B_z(\rho_{DA})\times z\Big]_{z_0}^{z_0+h}`$ $`\displaystyle\quad\quad\quad\quad = \Big[ B_z(\rho_{DA})\times z\Big]_{z_0}^{z_0+h}`$
<br> <br>
$`\color{blue}{\scriptsize{\quad\quad\quad\quad\text{M\in [DA]\;\Longrightarrow \;\rho_{DA}=\rho_M}}`$ $`\color{blue}{\scriptsize{\quad\quad\quad\quad M\in [DA]\;\Longrightarrow \;\rho_{DA}=\rho_M}}`$
<br> <br>
**$`\displaystyle\quad\quad\quad\quad\mathbf{\boldsymbol{ = h\; B_z(\rho_M)}}`$** **$`\displaystyle\quad\quad\quad\quad\mathbf{\boldsymbol{ = h\; B_z(\rho_M)}}`$**
......
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