Commit e2630338 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 5c971efb
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...@@ -109,11 +109,11 @@ visible: false ...@@ -109,11 +109,11 @@ visible: false
<br> <br>
$`\overrightarrow{U}=U_x\,\overrightarrow{e_x}+U_y\,\overrightarrow{e_y}+U_z\,\overrightarrow{e_z}`$ $`\overrightarrow{U}=U_x\,\overrightarrow{e_x}+U_y\,\overrightarrow{e_y}+U_z\,\overrightarrow{e_z}`$
* et l'équation d'onde se décompose en : * et l'équation d'onde se décompose en :
<br>
$`\left\{\begin{array}{l} $`\quad\left\{\begin{array}{l}
\left(\dfrac{\partial^2 U_x}{\partial x^2}+\dfrac{\partial^2 U_x}{\partial y^2}+\dfrac{\partial^2 U_x}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_x}{\partial t^2}=0\\ \;\left(\dfrac{\partial^2 U_x}{\partial x^2}+\dfrac{\partial^2 U_x}{\partial y^2}+\dfrac{\partial^2 U_x}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_x}{\partial t^2}=0\\
\left(\dfrac{\partial^2 U_y}{\partial x^2}+\dfrac{\partial^2 U_y}{\partial y^2}+\dfrac{\partial^2 U_y}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_y}{\partial t^2}=0\\ \;\left(\dfrac{\partial^2 U_y}{\partial x^2}+\dfrac{\partial^2 U_y}{\partial y^2}+\dfrac{\partial^2 U_y}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_y}{\partial t^2}=0\\
\left(\dfrac{\partial^2 U_z}{\partial x^2}+\dfrac{\partial^2 U_z}{\partial y^2}+\dfrac{\partial^2 U_z}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_z}{\partial t^2}=0 \;\left(\dfrac{\partial^2 U_z}{\partial x^2}+\dfrac{\partial^2 U_z}{\partial y^2}+\dfrac{\partial^2 U_z}{\partial z^2}\right)-\dfrac{1}{\mathscr{v}^2}\dfrac{\partial^2 U_z}{\partial t^2}=0
\end{array}\right.`$ \end{array}\right.`$
<br> <br>
Chacune des composantes du champ vérifie l'équation d'onde scalaire. Chacune des composantes du champ vérifie l'équation d'onde scalaire.
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