Commit 42423d26 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 3dc2058c
Pipeline #13222 canceled with stage
......@@ -529,35 +529,12 @@ x* La **circulation de la force conservative** s'exerçant sur un corpuscule de
$`\begin{align}
\displaystyle\color{brown}{\large{\mathbf{\displaystyle\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}}}} & =\int_A^B \alpha\,\overrightarrow{X}\cdot\overrightarrow{dl}\\
& =\int_A^B \alpha\,\big(-\,\overrightarrow{grad}\,\phi_X\big) \cdot\overrightarrow{dl} \\
\end{align}`$
<br>
<br>
$`\begin{align}
\displaystyle\color{brown}{\large{\mathbf{\displaystyle\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}}}} & =\int_A^B \alpha\,\overrightarrow{X}\cdot\overrightarrow{dl}\\
& =\int_A^B \alpha\,\big(-\,\overrightarrow{grad}\,\phi_X\big) \cdot\overrightarrow{dl} \\
& =-\,\int_A^B \alpha\,d\phi_X \\
\end{align}`$
<br>
<br>
$`\begin{align}
\displaystyle\color{brown}{\large{\mathbf{\displaystyle\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}}}} & =\int_A^B \alpha\,\overrightarrow{X}\cdot\overrightarrow{dl}\\
& =\int_A^B \alpha\,\big(-\,\overrightarrow{grad}\,\phi_X\big) \cdot\overrightarrow{dl} \\
& =-\,\int_A^B \alpha\,d\phi_X \\
& =-\,\int_A^B \mathcal{E}_X^{pot} \\
\\
& \color{brown}{\large{\mathbf{\;=-\,\mathcal{E}_X^{pot}(B)-\mathcal{E}_X^{pot}(A)}}}\\
\end{align}`$
<br>
<br>
$`\begin{align}
\displaystyle\color{brown}{\large{\mathbf{\displaystyle\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}}}} & =\int_A^B \alpha\,\overrightarrow{X}\cdot\overrightarrow{dl}\\
& =\int_A^B \alpha\,\big(-\,\overrightarrow{grad}\,\phi_X\big) \cdot\overrightarrow{dl} \\
& =-\,\int_A^B \alpha\,d\phi_X \\
& =-\,\int_A^B \alpha\;d\phi_X \\
& =-\,\int_A^B \mathcal{E}_X^{pot} \\
\\
& \color{brown}{\large{\mathbf{\;=-\,\mathcal{E}_X^{pot}(B)-\mathcal{E}_X^{pot}(A)}}}\\
& \color{brown}{\large{\mathbf{\;=-\,\bigg(\mathcal{E}_X^{pot}(B)-\mathcal{E}_X^{pot}(A)\,\bigg)}}}\\
\\
& \color{blue}{\large{\mathbf{\;=\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{pot})}}}\\
& \color{blue}{\large{\mathbf{\;==-\,\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{pot})}}}\\
\end{align}`$
<br>
......
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