Commit 9a04c42c authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 15ec8647
Pipeline #15973 canceled with stage
...@@ -1705,18 +1705,18 @@ $`\quad\quad \;\; = \cdots`$ ...@@ -1705,18 +1705,18 @@ $`\quad\quad \;\; = \cdots`$
<br> <br>
$`U(\overrightarrow{r},t)\,=\,\mathscr{R}e\big[\underline{U}(\overrightarrow{r},t)\big]`$ $`U(\overrightarrow{r},t)\,=\,\mathscr{R}e\big[\underline{U}(\overrightarrow{r},t)\big]`$
<br> <br>
$`\begin{array}\quad = &\mathscr{R}e\big[\,2\,A_{moy}\,cos(\theta_{12})\; e^{\,i\,\theta_{moy}}\\ $`\begin{align}\; = &\mathscr{R}e\big[\,2\,A_{moy}\,cos(\theta_{12})\; e^{\,i\,\theta_{moy}}\\
&-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\; e^{\,i\,\theta_{moy}}\big]\end{array}`$ &-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\; e^{\,i\,\theta_{moy}}\big]\end{align}`$
<br> <br>
$`\color{blue}{\scriptsize{\quad\text{Utilisons }\;exp(ia)\,=\, cos\,a\,+\,i\, sin\,a}}`$ $`\color{blue}{\scriptsize{\quad\text{Utilisons }\;exp(ia)\,=\, cos\,a\,+\,i\, sin\,a}}`$
<br> <br>
$`\begin{array}\quad = &\mathscr{R}e \big[\,2\,A_{moy}\,cos(\theta_{12})\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\\ $`\begin{align}\;= &\mathscr{R}e \big[\,2\,A_{moy}\,cos(\theta_{12})\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\\
&-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\big]\end{array}`$ &-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\big]\end{align}`$
<br> <br>
$`\begin{array}\quad = &2\times\mathscr{R}e \big[\\ $`\begin{align}\; = &2\times\mathscr{R}e \big[\\
\,(\,A_{moy}\,cos(\theta_{12})\;cos\,\theta_{moy}\,+\,\Delta A_{1-2}\,sin(\theta_{12}\;sin\,\theta_{moy}\,) \\ \,(\,A_{moy}\,cos(\theta_{12})\;cos\,\theta_{moy}\,+\,\Delta A_{1-2}\,sin(\theta_{12}\;sin\,\theta_{moy}\,) \\
\,+\,i\,(\,A_{moy}\,cos(\theta_{12})\;sin\,\theta_{moy}\,-\,\Delta A_{1-2}\,sin(\theta_{12}\;sin\,\theta_{moy}\,)\big] \\ \,+\,i\,(\,A_{moy}\,cos(\theta_{12})\;sin\,\theta_{moy}\,-\,\Delta A_{1-2}\,sin(\theta_{12}\;sin\,\theta_{moy}\,)\big] \\
\end{array}`$ \end{align}`$
......
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