Commit c43aeadf authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent bd8d942b
Pipeline #15971 canceled with stage
...@@ -1703,18 +1703,18 @@ $`\quad\quad \;\; = \cdots`$ ...@@ -1703,18 +1703,18 @@ $`\quad\quad \;\; = \cdots`$
* L'**onde réelle** est la *partie réelle de l'onde complexe* : * L'**onde réelle** est la *partie réelle de l'onde complexe* :
<br> <br>
$`U(\overrightarrow{r},t)\,=\,\mathbb{R}e\big(\underline{U}(\overrightarrow{r},t))`$ $`U(\overrightarrow{r},t)\,=\,\mathscr{R}e\big(\underline{U}(\overrightarrow{r},t))`$
<br> <br>
$`\begin{array}\quad = &+\,2\,A_{moy}\,cos(\theta_{12})\; e^{\,i\,\theta_{moy}}\\ $`\begin{array}\quad = &+\,2\,A_{moy}\,cos(\theta_{12})\; e^{\,i\,\theta_{moy}}\\
&-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\; e^{\,i\,\theta_{moy}}\end{array}`$ &-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\; e^{\,i\,\theta_{moy}}\end{array}`$
<br> <br>
$`\color{blue}{\scriptsize{exp(ia)\,=\, cos\,a\,+\,i\, sin\,a}}`$ $`\color{blue}{\scriptsize{\text{Utilisons }\;exp(ia)\,=\, cos\,a\,+\,i\, sin\,a}}`$
<br> <br>
$`\begin{array}\quad = &\mathbb{R}e \big[\,2\,A_{moy}\,cos(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy}})\\ $`\begin{array}\quad = &\mathscr{R}e \big[\,2\,A_{moy}\,cos(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy})\\
&-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy}})\big]\end{array}`$ &-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy})\big]\end{array}`$
<br> <br>
$`\begin{array}\quad = &2\times\mathbb{R}e \big[\,A_{moy}\,cos(\theta_{12})\;cos\,\theta_{moy}\,-\,sin\,\theta_{moy}})\\ $`\begin{array}\quad = &2\times\mathscr{R}e \big[\,A_{moy}\,cos(\theta_{12})\;cos\,\theta_{moy}\,-\,sin\,\theta_{moy})\\
&-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy}})\end{array}`$ &-\,2i\,\Delta A_{1-2}\,sin(\theta_{12})\;(cos\,\theta_{moy}\,+\,isin\,\theta_{moy})\end{array}`$
......
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