Commit 7dda84a2 authored by Claude Meny's avatar Claude Meny

Update textbook.fr.md

parent 0e4d7778
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### Electromagnetismo / Electromagnétisme / Electromagnétism : 4 ### Electromagnetismo niv.4 / Electromagnétisme niv.4/ Electromagnétism lev.4
!!!! *Recopilar elementos de cursos / Collecte d'éléments de cours / Collecting course items* !!!! *Recopilar elementos de cursos / Collecte d'éléments de cours / Collecting course items*
...@@ -231,7 +231,7 @@ remember to replace (auto-tra) with your initials (YYY). ...@@ -231,7 +231,7 @@ remember to replace (auto-tra) with your initials (YYY).
### Ecuaciones de Maxwell / Equations de maxwell \ Maxwell's equations ### Ecuaciones de Maxwell / Equations de maxwell \ Maxwell's equations
[ELECMAG4-10] Ecuaciones de Maxwell en forma integral / Equations de maxwell intégrales / ... #### Ecuaciones de Maxwell en forma integral / Equations de Maxwell intégrales / ...
<!-- <!--
$`\displaystyle\oiint_S\overrightarrow{E}\cdot\overrightarrow{dS}=\dfrac{Q_{int}}{\epsilon_0}`$ $`\displaystyle\oiint_S\overrightarrow{E}\cdot\overrightarrow{dS}=\dfrac{Q_{int}}{\epsilon_0}`$
...@@ -299,6 +299,7 @@ $`\displaystyle\iint_S \overrightarrow{rot}\,\overrightarrow{E}\cdot \overrighta ...@@ -299,6 +299,7 @@ $`\displaystyle\iint_S \overrightarrow{rot}\,\overrightarrow{E}\cdot \overrighta
$`\displaystyle\iint_{S\,orient.} \;\overrightarrow{rot}\;\overrightarrow{X} \cdot dS $`\displaystyle\iint_{S\,orient.} \;\overrightarrow{rot}\;\overrightarrow{X} \cdot dS
= \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{X}\cdot\overrightarrow{dl}`$ = \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{X}\cdot\overrightarrow{dl}`$
[FR](CME), [ES](...)?, [EN](...)? <br>
$`\displaystyle\iint_{S\,orient.} \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS} $`\displaystyle\iint_{S\,orient.} \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS}
= \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{E}\cdot\overrightarrow{dl} = \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{E}\cdot\overrightarrow{dl}
= fem = \mathcal{C}_E`$ = fem = \mathcal{C}_E`$
...@@ -308,19 +309,18 @@ $`\displaystyle\iint_{S\,orient.} \overrightarrow{rot} \,\overrightarrow{E}\cdot ...@@ -308,19 +309,18 @@ $`\displaystyle\iint_{S\,orient.} \overrightarrow{rot} \,\overrightarrow{E}\cdot
[EN](auto-trad) : <br> [EN](auto-trad) : <br>
: :
[FR](CME) [FR](CME), [ES](...)?, [EN](...)? <br>
$`fem = \mathcal{C}_E = \mathcal{E} $`fem = \mathcal{C}_E = \mathcal{E}
= \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{E}\cdot\overrightarrow{dl} = \displaystyle \oint_{\Gamma\,orient.\leftrightarrow S} \overrightarrow{E}\cdot\overrightarrow{dl}
= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right) = - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)
= - \dfrac{\partial \Phi_B}{\partial t}`$ = - \dfrac{\partial \Phi_B}{\partial t}`$
[ES](auto-trad) :<br>
[FR](CME) Théorème d'Ostrogradsky = théorème de la divergence : pour tout champ vectoriel $`\vec{X}`$ :<br>
[EN](auto-trad) Ostrogradsky’s theorem = divergence theorem : for all vectorial field $`\vec{X}`$ :<br>
[FR](CME), [ES](...)?, [EN](...)? <br>
$`\displaystyle\iiint_{\tau} div\;\overrightarrow{X} \cdot d\tau = \displaystyle
Ostrogradsky’s theorem = divergence theorem : for all vectorial field $`\vec{X}`$, $`\displaystyle\iiint_{\tau} div\;\overrightarrow{X} \cdot d\tau = \displaystyle
\oiint_{S\leftrightarrow\tau} \overrightarrow{X}\cdot\overrightarrow{dS}`$ \oiint_{S\leftrightarrow\tau} \overrightarrow{X}\cdot\overrightarrow{dS}`$
Stokes' theorem = Stokes' theorem =
......
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