Update cheatsheet.fr.md

12.temporary_ins/69.waves/30.n3/20.overview/cheatsheet.fr.md

@@ -1602,7 +1602,7 @@ $`\quad\quad \;\; = \cdots`$
   $`\begin{array}\quad = &+\,2\,A_{moy}\,cos\,\theta_{moy}\;cos\,\Delta\theta_{12}\\
    &-\,2\,\Delta A_{1-2}\,\,sin\,\theta_{moy}\;sin\,\Delta\theta_{12}\end{array}`$   
   <br>
-  **$`\begin{array}\mathbf{\boldsymbol{\quad = &+\,2\,A_{moy}\,cos\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
+  **$`\mathbf{\boldsymbol{\begin{array}\quad = &+\,2\,A_{moy}\,cos\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
     &\quad\times\,cos\big(\Delta \omega_{12} t + \Delta \overrightarrow{k}_{12}\cdot\overrightarrow{r}+\Delta\varphi_{12}\big)\\
    &-\,2\,\Delta A_{1-2}\,sin\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
     &\quad\times\,sin\big(\Delta \omega_{12} t + \Delta \overrightarrow{k}_{12}\cdot\overrightarrow{r}+\Delta\varphi_{12}\big)
@@ -1616,6 +1616,8 @@ $`\quad\quad \;\; = \cdots`$
 
  **Calcul de l'onde résultante** *en notation complexe*
  
+ (à revérifier)
+ 
  * *Travaillons* d'abord avec les **termes d'amplitude** :   
 <br>
 **$`\underline{U}(\overrightarrow{r},t)`$**$`\; = \underline{U}_1(\overrightarrow{r},t) + \underline{U}_2(\overrightarrow{r},t)`$   
@@ -1713,12 +1715,12 @@ $`\quad\quad \;\; = \cdots`$
   $`\begin{align}\;= \;&\mathscr{R}e \big[\,2\,A_{moy}\,cos\,\theta_{12}\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\\
    &+\,2i\,\Delta A_{1-2}\,sin\,\theta_{12}\;(cos\,\theta_{moy}\,+\,i\,sin\,\theta_{moy})\big]\end{align}`$  
   <br>
-  $`\; \begin{align}= & 2\times\\
+  $`\; \begin{align}= & \,2\,\times\\
   &\mathscr{R}e \big[(\,A_{moy}\,cos\,\theta_{12}\;cos\,\theta_{moy}\,-\,\Delta A_{1-2}\,sin\,\theta_{12}\;sin\,\theta_{moy}\,) \\
   &\,+\,i\,(\,A_{moy}\,cos\,\theta_{12}\;sin\,\theta_{moy}\,+\,\Delta A_{1-2}\,sin\,\theta_{12}\;cos\,\theta_{moy}\,)\big] \\
   \end{align}`$    
 
-  **$`\begin{array}\mathbf{\boldsymbol{\quad = &+\,2\,A_{moy}\,cos\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
+  **$`\mathbf{\boldsymbol{\begin{array}\quad = &+\,2\,A_{moy}\,cos\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
     &\quad\times\,cos\big(\Delta \omega_{12} t + \Delta \overrightarrow{k}_{12}\cdot\overrightarrow{r}+\Delta\varphi_{12}\big)\\
    &-\,2\,\Delta A_{1-2}\,sin\big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)\\
     &\quad\times\,sin\big(\Delta \omega_{12} t + \Delta \overrightarrow{k}_{12}\cdot\overrightarrow{r}+\Delta\varphi_{12}\big)