Commit 7ad72093 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 94a9cb60
Pipeline #18923 canceled with stage
...@@ -684,18 +684,14 @@ $`\mathbf{div\,\big(\overrightarrow{U}\land\overrightarrow{V}\big)= ...@@ -684,18 +684,14 @@ $`\mathbf{div\,\big(\overrightarrow{U}\land\overrightarrow{V}\big)=
_{\color{blue}{=-\frac{\partial \vec{B}}{\partial t}}}\big)\, _{\color{blue}{=-\frac{\partial \vec{B}}{\partial t}}}\big)\,
-\,\overrightarrow{E}\cdot\big(\underbrace{\overrightarrow{rot}\,\overrightarrow{B}}_{\color{blue}{=\mu_0\,\vec{j}+\mu_0\epsilon_0\frac{\partial \vec{E}}{\partial t} -\,\overrightarrow{E}\cdot\big(\underbrace{\overrightarrow{rot}\,\overrightarrow{B}}_{\color{blue}{=\mu_0\,\vec{j}+\mu_0\epsilon_0\frac{\partial \vec{E}}{\partial t}
}}\big)`$ }}\big)`$
<br><br> <br>
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<br><br>
$` $`
div\,\big(\overrightarrow{E}\land\overrightarrow{B}\big) div\,\big(\overrightarrow{E}\land\overrightarrow{B}\big)
=-\,\mu_0\,\vec{j}\cdot\overrightarrow{E}\,-\,\mu_0\,\epsilon_0\dfrac{\partial \vec{E}}{\partial t}\cdot\overrightarrow{E} =-\,\mu_0\,\vec{j}\cdot\overrightarrow{E}\,-\,\mu_0\,\epsilon_0\dfrac{\partial \vec{E}}{\partial t}\cdot\overrightarrow{E}
\, \,
-\,\overrightarrow{B}\cdot \dfrac{\partial \vec{B}}{\partial t}\big) -\,\overrightarrow{B}\cdot \dfrac{\partial \vec{B}}{\partial t}\big)
`$ `$
<br><br> <br>
@@@@@@@@@@@@@
<br><br>
$`\color{blue}{\scriptsize{ $`\color{blue}{\scriptsize{
\text{Souviens-toi que } \vec{u}\dfrac{\partial \vec{u}}{\partial t}=\dfrac{1}{2}\,\dfrac{\partial (\vec{u}\cdot\vec{u})}{\partial t}=\dfrac{1}{2}\,\dfrac{\partial u^2}{\partial t}}}`$ \text{Souviens-toi que } \vec{u}\dfrac{\partial \vec{u}}{\partial t}=\dfrac{1}{2}\,\dfrac{\partial (\vec{u}\cdot\vec{u})}{\partial t}=\dfrac{1}{2}\,\dfrac{\partial u^2}{\partial t}}}`$
<br> <br>
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