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diff --git a/buch/papers/fm/RS presentation/RS.tex b/buch/papers/fm/RS presentation/RS.tex
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-%% !TeX root = RS.tex
-
-\documentclass[11pt,aspectratio=169]{beamer}
-\usepackage[utf8]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{lmodern}
-\usepackage[ngerman]{babel}
-\usepackage{tikz}
-\usetheme{Hannover}
-
-\begin{document}
-	\author{Joshua Bär}
-	\title{FM - Bessel}
-	\subtitle{}
-	\logo{}
-	\institute{OST Ostschweizer Fachhochschule}
-	\date{16.5.2022}
-	\subject{Mathematisches Seminar- Spezielle Funktionen}
-	%\setbeamercovered{transparent}
-	\setbeamercovered{invisible}
-	\setbeamertemplate{navigation symbols}{}
-	\begin{frame}[plain]
-		\maketitle
-	\end{frame}
-%-------------------------------------------------------------------------------	
-\section{Einführung}
-	\begin{frame}
-		\frametitle{Frequenzmodulation}
-		
-		\visible<1->{\begin{equation} \cos(\omega_c t+\beta\sin(\omega_mt))\end{equation}}
-		
-		\only<2>{\includegraphics[scale= 0.7]{images/fm_in_time.png}}
-		\only<3>{\includegraphics[scale= 0.7]{images/fm_frequenz.png}}
-		\only<4>{\includegraphics[scale= 0.7]{images/bessel_frequenz.png}}
-		
-		
-	\end{frame}
-%-------------------------------------------------------------------------------	
-\section{Proof}
-\begin{frame}
-	\frametitle{Bessel}
-
-	\visible<1->{\begin{align}
-			\cos(\beta\sin\varphi)
-			&=
-			J_0(\beat) + 2\sum_{m=1}^\infty J_{2m}(\beta) \cos(2m\varphi)
-			\\
-			\sin(\beta\sin\varphi)
-			&=
-			J_0(\beat) + 2\sum_{m=1}^\infty J_{2m}(\beta) \cos(2m\varphi)
-			\\
-			J_{-n}(\beat) &= (-1)^n J_n(\beta)
-		\end{align}}
-	\visible<2->{\begin{align}
-			\cos(A + B) 
-			&= 
-			\cos(A)\cos(B)-\sin(A)\sin(B)
-			\\
-			2\cos (A)\cos (B)
-			&=
-			\cos(A-B)+\cos(A+B)
-			\\
-			2\sin(A)\sin(B)
-			&=
-			\cos(A-B)-\cos(A+B)
-		\end{align}}
-\end{frame}
-
-%-------------------------------------------------------------------------------	
-\begin{frame}
-		\frametitle{Prof->Done}
-		\begin{align}
-			\cos(\omega_ct+\beta\sin(\omega_mt))
-			&=
-			\sum_{k= -\infty}^\infty J_{k}(\beta) \cos((\omega_c+k\omgea_m)t)
-		\end{align}
-	\end{frame}
-%-------------------------------------------------------------------------------	
-	\begin{frame}
-	\begin{figure}
-		\only<1>{\includegraphics[scale = 0.75]{images/fm_frequenz.png}}
-		\only<2>{\includegraphics[scale = 0.75]{images/bessel_frequenz.png}}
-	\end{figure}
-	\end{frame}
-%-------------------------------------------------------------------------------		
-\section{Input Parameter}
-	\begin{frame}
-	\frametitle{Träger-Frequenz Parameter}
-	\onslide<1->{\begin{equation}\cos(\omega_ct+\beta\sin(\omega_mt))\end{equation}}
-	\only<1>{\includegraphics[scale=0.75]{images/100HZ.png}}
-	\only<2>{\includegraphics[scale=0.75]{images/200HZ.png}}
-	\only<3>{\includegraphics[scale=0.75]{images/300HZ.png}}
-	\only<4>{\includegraphics[scale=0.75]{images/400HZ.png}}
-	\end{frame}
-%-------------------------------------------------------------------------------
-\begin{frame}
-\frametitle{Modulations-Frequenz Parameter}
-\onslide<1->{\begin{equation}\cos(\omega_ct+\beta\sin(\omega_mt))\end{equation}}
-\only<1>{\includegraphics[scale=0.75]{images/fm_3Hz.png}}
-\only<2>{\includegraphics[scale=0.75]{images/fm_5Hz.png}}
-\only<3>{\includegraphics[scale=0.75]{images/fm_7Hz.png}}
-\only<4>{\includegraphics[scale=0.75]{images/fm_10Hz.png}}
-\only<5>{\includegraphics[scale=0.75]{images/fm_20Hz.png}}
-\only<6>{\includegraphics[scale=0.75]{images/fm_30Hz.png}}
-\end{frame}	
-%-------------------------------------------------------------------------------
-\begin{frame}
-\frametitle{Beta Parameter}
-	\onslide<1->{\begin{equation}\sum_{k= -\infty}^\infty J_{k}(\beta) \cos((\omega_c+k\omgea_m)t)\end{equation}}
-	\only<1>{\includegraphics[scale=0.7]{images/beta_0.001.png}}
-	\only<2>{\includegraphics[scale=0.7]{images/beta_0.1.png}}
-	\only<3>{\includegraphics[scale=0.7]{images/beta_0.5.png}}
-	\only<4>{\includegraphics[scale=0.7]{images/beta_1.png}}
-	\only<5>{\includegraphics[scale=0.7]{images/beta_2.png}}
-	\only<6>{\includegraphics[scale=0.7]{images/beta_3.png}}
-	\only<7>{\includegraphics[scale=0.7]{images/bessel.png}}
-\end{frame}	
-%-------------------------------------------------------------------------------
-\begin{frame}
-	\includegraphics[scale=0.5]{images/beta_1.png}
-	\includegraphics[scale=0.5]{images/bessel.png}
-\end{frame}	
-\end{document}