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authorBenjamin Chausse <benjamin@chausse.xyz>2024-12-03 23:56:04 -0500
committerBenjamin Chausse <benjamin@chausse.xyz>2024-12-03 23:56:04 -0500
commitc38a484e2a8a20da1150423da5b844a4f895f8f7 (patch)
treef13416a92f1c2d9c7aa1eff8150e1eff014ea3d3
parentbeb632959899ceefd0e0a074dbd590cdc2afde21 (diff)
ami euler
-rw-r--r--annexe/main.tex7
1 files changed, 4 insertions, 3 deletions
diff --git a/annexe/main.tex b/annexe/main.tex
index 58d3310..b532a34 100644
--- a/annexe/main.tex
+++ b/annexe/main.tex
@@ -2,11 +2,11 @@
% xelatex
\usepackage{titlepage}
+\usepackage{document}
\usepackage{booktabs}
\usepackage{bookmark}
\usepackage{subcaption}
% \usepackage[american]{circuitikz}
-\usepackage{document}
\usepackage{float}
\usepackage{multicol}
\usepackage{siunitx}
@@ -95,7 +95,8 @@
\nonumber\\
\al = \frac{R}{2L} \label{eq:alpha}\\
\omega_0 = \frac{1}{\sqrt{LC}} \label{eq:omega_0}\\
- \omega_n = \sqrt{\omega_0^2 - \al^2 \label{eq:omega_n}}
+ \omega_n = \sqrt{\omega_0^2 - \al^2 \label{eq:omega_n}} \\
+ e^{j\theta} = \cos(\theta) + j\sin(\theta) \label{eq:euler}
\end{gather}
\newpage
@@ -288,7 +289,7 @@
\begin{gather*}
\begin{align}
\vlt & = \cancel{0e^{(\al-\rootd)t}} -12 e^{-5\exp{6}t} \\
- \vlt & = -12 e^{-5\exp{6}t}
+ \vlt & = -12 e^{-5\exp{6}t} \\
\end{align}
\end{gather*}