Commit 61bd7b2e authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent c91b8ebc
Pipeline #13178 canceled with stage
...@@ -455,20 +455,20 @@ $`\begin{align} ...@@ -455,20 +455,20 @@ $`\begin{align}
$`\begin{align} $`\begin{align}
\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\ \overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\ & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
\end{align}`$ \end{align}`$
$`\begin{align} $`\begin{align}
\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\ \overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\ & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\
\end{align}`$ \end{align}`$
$`\begin{align} $`\begin{align}
\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\ \overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\ & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\
& =d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)\\ & =d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)\\
\end{align}`$ \end{align}`$
......
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