Commit 39c24584 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent dfb6c46f
Pipeline #15823 canceled with stage
...@@ -1391,17 +1391,20 @@ une **valeur moyenne**, et de leurs **écarts respectifs** par rapport à la val ...@@ -1391,17 +1391,20 @@ une **valeur moyenne**, et de leurs **écarts respectifs** par rapport à la val
$`\begin{array}\quad = &A_1\,cos\big(\underbrace{\omega_1 t + \overrightarrow{k}_1\cdot\overrightarrow{r}+\varphi_1}_{\color{blue}{\theta_1(\vec{r},t)}}\big)\\ $`\begin{array}\quad = &A_1\,cos\big(\underbrace{\omega_1 t + \overrightarrow{k}_1\cdot\overrightarrow{r}+\varphi_1}_{\color{blue}{\theta_1(\vec{r},t)}}\big)\\
&+ A_2\,cos\big(\underbrace{\omega_2 t + \overrightarrow{k}_2\cdot\overrightarrow{r}+\varphi_2}_{\color{blue}{\theta_2(\vec{r},t)}}\big)\end{array}`$ &+ A_2\,cos\big(\underbrace{\omega_2 t + \overrightarrow{k}_2\cdot\overrightarrow{r}+\varphi_2}_{\color{blue}{\theta_2(\vec{r},t)}}\big)\end{array}`$
$`\quad\quad = A_1\,cos\,\theta_1 + A_2\,cos\,\theta_2`$ $`\quad\;\, = A_1\,cos\,\theta_1 + A_2\,cos\,\theta_2`$
$`\quad\quad = (A_{moy}+ \Delta A_{1-2})\,cos\,\theta_1 + (A_{moy} - \Delta A_{1-2})\,cos\,\theta_2`$ $`\quad\;\, = (A_{moy}+ \Delta A_{1-2})\,cos\,\theta_1 + (A_{moy} - \Delta A_{1-2})\,cos\,\theta_2`$
**$`\quad\quad = A_{moy}\,(cos\,\theta_1 + cos\,\theta_2) + \Delta A_{1-2}\,(cos\theta_1 - cos\theta_2)`$** **$`\quad\;\, = A_{moy}\,(cos\,\theta_1 + cos\,\theta_2) + \Delta A_{1-2}\,(cos\theta_1 - cos\theta_2)`$**
* *Travaillons* les **termes de phase** : * *Travaillons* les **termes de phase** :
$`\theta_1 = \omega_1 t + \overrightarrow{k}_1\cdot\overrightarrow{r}+\varphi_1`$
$`\quad\;\,= \big[ (\omega_{moy}+ \Delta \omega_{1-2}) t + \big(\overrightarrow{k}_{moy}+ \Delta \overrightarrow{k}_{1-2}\big)\cdot\overrightarrow{r}+( \varphi_{moy} + \Delta \varphi_{1-2})\big]`$
$`\quad\;\,= \big[ \big(\omega_{moy} t + \overrightarrow{k}_{moy}\cdot\overrightarrow{r}+ \varphi_{moy}\big)
+ \big(\Delta \omega_{1-2}) t + \Delta \overrightarrow{k}_{1-2}\cdot\overrightarrow{r}+\Delta\varphi_{1-2}\big)\big]`$
......
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