Commit 9590c7d4 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 4f504beb
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...@@ -1084,20 +1084,20 @@ commenter ...@@ -1084,20 +1084,20 @@ commenter
![](sum-two-plane-wave-progressive-monochrome-complex-representation-3_L1200.jpg) ![](sum-two-plane-wave-progressive-monochrome-complex-representation-3_L1200.jpg)
$\mathbf{A = \|\overrightarrow{U}\| = $`\mathbf{A = \|\overrightarrow{U}\| =
\sqrt{\overrightarrow{U}\cdot\overrightarrow{U}} \sqrt{\overrightarrow{U}\cdot\overrightarrow{U}}
= =
\sqrt{\big(\overrightarrow{U}_1 + \overrightarrow{U}_2\big)\cdot\big(\overrightarrow{U}_1 + \overrightarrow{U}_2\big)}}$ \sqrt{\big(\overrightarrow{U}_1 + \overrightarrow{U}_2\big)\cdot\big(\overrightarrow{U}_1 + \overrightarrow{U}_2\big)}}`$
$\mathbf{ = $`\mathbf{ =
\sqrt{\overrightarrow{U}_1\cdot\overrightarrow{U}_1 + \overrightarrow{U}_2\cdot\overrightarrow{U}_2+2\;\overrightarrow{U}_1\cdot\overrightarrow{U}_2}}$ \sqrt{\overrightarrow{U}_1\cdot\overrightarrow{U}_1 + \overrightarrow{U}_2\cdot\overrightarrow{U}_2+2\;\overrightarrow{U}_1\cdot\overrightarrow{U}_2}}`$
$\mathbf{ = $`\mathbf{ =
\sqrt{\|\overrightarrow{U}_1\|^2+ \|\overrightarrow{U}_2\|^2+2\;\|\overrightarrow{U}_1\|\;\|\overrightarrow{U}_2\|\;cos\Big(\widehat{\overrightarrow{U}_1,\overrightarrow{U}_2}\Big)}}$ \sqrt{\|\overrightarrow{U}_1\|^2+ \|\overrightarrow{U}_2\|^2+2\;\|\overrightarrow{U}_1\|\;\|\overrightarrow{U}_2\|\;cos\Big(\widehat{\overrightarrow{U}_1,\overrightarrow{U}_2}\Big)}}`$
$\mathbf{ = $`\mathbf{ =
\sqrt{A_1^2\;+\;A_2^2\;+\; \sqrt{A_1^2\;+\;A_2^2\;+\;
2 \;A_1\,A_2\;cos(\varphi_2-\varphi_1)}}$ 2 \;A_1\,A_2\;cos(\varphi_2-\varphi_1)}}`$
<br> <br>
......
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