Commit 99710848 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 9c80c854
Pipeline #18244 canceled with stage
...@@ -604,7 +604,7 @@ $`\hspace{2.3cm}=\quad\dfrac{\dens^{1D}\cdot R\,d\varphi}{4\pi\epsilon_0}\cdot\d ...@@ -604,7 +604,7 @@ $`\hspace{2.3cm}=\quad\dfrac{\dens^{1D}\cdot R\,d\varphi}{4\pi\epsilon_0}\cdot\d
! $`\color{blue}{\scriptsize{\text{soit encore }}}`$ ! $`\color{blue}{\scriptsize{\text{soit encore }}}`$
! $`\color{blue}{\scriptsize{\text{ - la primitive de } (n+1)\cdot u^n \cdot u' \text{ est } u^{n+1}}}`$ ! $`\color{blue}{\scriptsize{\text{ - la primitive de } (n+1)\cdot u^n \cdot u' \text{ est } u^{n+1}}}`$
! !
! $`\displaystyle\hspace{1cm}=\dfrac{\dens^{2D}\,z}{2\epsilon_0} ! $`\displaystyle\hspace{0.5 cm}=\dfrac{\dens^{2D}\,z}{2\epsilon_0}
! \int_{\rho = 0}^R - \Big(\underbrace{-\dfrac{1}{2}}_{\color{blue}{n+1}}\Big)\cdot\underbrace{2\rho}_{\color{blue}{u^{\,'}}}\,\underbrace{(\rho^2+z^2)^{-\,3/2}}_{\color{blue}{u^n}}\,d\rho`$<br> ! \int_{\rho = 0}^R - \Big(\underbrace{-\dfrac{1}{2}}_{\color{blue}{n+1}}\Big)\cdot\underbrace{2\rho}_{\color{blue}{u^{\,'}}}\,\underbrace{(\rho^2+z^2)^{-\,3/2}}_{\color{blue}{u^n}}\,d\rho`$<br>
! <br> ! <br>
! $`\displaystyle \hspace{0.5 cm} = - \dfrac{\dens^{2D}\,z}{2\epsilon_0} \big[\underbrace{(\rho^2+z^2)^{-\,1/2}}_{\color{blue}{u^{n+1}}}\big]_0^R`$<br> ! $`\displaystyle \hspace{0.5 cm} = - \dfrac{\dens^{2D}\,z}{2\epsilon_0} \big[\underbrace{(\rho^2+z^2)^{-\,1/2}}_{\color{blue}{u^{n+1}}}\big]_0^R`$<br>
......
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