32 files changed, 3 insertions, 126 deletions

diff --git a/buch/papers/fm/RS presentation/FM_presentation.tex b/buch/papers/fm/FM presentation/FM_presentation.tex
index 92cb501..2801e69 100644
--- a/buch/papers/fm/RS presentation/FM_presentation.tex
+++ b/buch/papers/fm/FM presentation/FM_presentation.tex
@@ -1,4 +1,4 @@
-%% !TeX root = RS.tex
+%% !TeX root = .tex
 
 \documentclass[11pt,aspectratio=169]{beamer}
 \usepackage[utf8]{inputenc}
@@ -15,7 +15,7 @@
 	\logo{}
 	\institute{OST Ostschweizer Fachhochschule}
 	\date{16.5.2022}
-	\subject{Mathematisches Seminar}
+	\subject{Mathematisches Seminar - Spezielle Funktionen}
 	%\setbeamercovered{transparent}
 	\setbeamercovered{invisible}
 	\setbeamertemplate{navigation symbols}{}
diff --git a/buch/papers/fm/FM presentation/README.txt b/buch/papers/fm/FM presentation/README.txt
new file mode 100644
index 0000000..65f390d
--- /dev/null
+++ b/buch/papers/fm/FM presentation/README.txt
@@ -0,0 +1 @@
+Dies ist die Presentation des FM - Bessel
\ No newline at end of file
diff --git a/buch/papers/fm/RS presentation/images/100HZ.png b/buch/papers/fm/FM presentation/images/100HZ.png
index 371b9bf..371b9bf 100644
--- a/buch/papers/fm/RS presentation/images/100HZ.png
+++ b/buch/papers/fm/FM presentation/images/100HZ.png
diff --git a/buch/papers/fm/RS presentation/images/200HZ.png b/buch/papers/fm/FM presentation/images/200HZ.png
index f6836bd..f6836bd 100644
--- a/buch/papers/fm/RS presentation/images/200HZ.png
+++ b/buch/papers/fm/FM presentation/images/200HZ.png
diff --git a/buch/papers/fm/RS presentation/images/300HZ.png b/buch/papers/fm/FM presentation/images/300HZ.png
index 6762c1a..6762c1a 100644
--- a/buch/papers/fm/RS presentation/images/300HZ.png
+++ b/buch/papers/fm/FM presentation/images/300HZ.png
diff --git a/buch/papers/fm/RS presentation/images/400HZ.png b/buch/papers/fm/FM presentation/images/400HZ.png
index 236c428..236c428 100644
--- a/buch/papers/fm/RS presentation/images/400HZ.png
+++ b/buch/papers/fm/FM presentation/images/400HZ.png
diff --git a/buch/papers/fm/RS presentation/images/bessel.png b/buch/papers/fm/FM presentation/images/bessel.png
index f4c83ea..f4c83ea 100644
--- a/buch/papers/fm/RS presentation/images/bessel.png
+++ b/buch/papers/fm/FM presentation/images/bessel.png
diff --git a/buch/papers/fm/RS presentation/images/bessel2.png b/buch/papers/fm/FM presentation/images/bessel2.png
index ccda3f9..ccda3f9 100644
--- a/buch/papers/fm/RS presentation/images/bessel2.png
+++ b/buch/papers/fm/FM presentation/images/bessel2.png
diff --git a/buch/papers/fm/RS presentation/images/bessel_beta1.png b/buch/papers/fm/FM presentation/images/bessel_beta1.png
index 1f5c47e..1f5c47e 100644
--- a/buch/papers/fm/RS presentation/images/bessel_beta1.png
+++ b/buch/papers/fm/FM presentation/images/bessel_beta1.png
diff --git a/buch/papers/fm/RS presentation/images/bessel_frequenz.png b/buch/papers/fm/FM presentation/images/bessel_frequenz.png
index 4f228b9..4f228b9 100644
--- a/buch/papers/fm/RS presentation/images/bessel_frequenz.png
+++ b/buch/papers/fm/FM presentation/images/bessel_frequenz.png
diff --git a/buch/papers/fm/RS presentation/images/beta_0.001.png b/buch/papers/fm/FM presentation/images/beta_0.001.png
index 7e4e276..7e4e276 100644
--- a/buch/papers/fm/RS presentation/images/beta_0.001.png
+++ b/buch/papers/fm/FM presentation/images/beta_0.001.png
diff --git a/buch/papers/fm/RS presentation/images/beta_0.1.png b/buch/papers/fm/FM presentation/images/beta_0.1.png
index e7722b3..e7722b3 100644
--- a/buch/papers/fm/RS presentation/images/beta_0.1.png
+++ b/buch/papers/fm/FM presentation/images/beta_0.1.png
diff --git a/buch/papers/fm/RS presentation/images/beta_0.5.png b/buch/papers/fm/FM presentation/images/beta_0.5.png
index 5261b43..5261b43 100644
--- a/buch/papers/fm/RS presentation/images/beta_0.5.png
+++ b/buch/papers/fm/FM presentation/images/beta_0.5.png
diff --git a/buch/papers/fm/RS presentation/images/beta_1.png b/buch/papers/fm/FM presentation/images/beta_1.png
index 6d3535c..6d3535c 100644
--- a/buch/papers/fm/RS presentation/images/beta_1.png
+++ b/buch/papers/fm/FM presentation/images/beta_1.png
diff --git a/buch/papers/fm/RS presentation/images/beta_2.png b/buch/papers/fm/FM presentation/images/beta_2.png
index 6930eae..6930eae 100644
--- a/buch/papers/fm/RS presentation/images/beta_2.png
+++ b/buch/papers/fm/FM presentation/images/beta_2.png
diff --git a/buch/papers/fm/RS presentation/images/beta_3.png b/buch/papers/fm/FM presentation/images/beta_3.png
index c6df82c..c6df82c 100644
--- a/buch/papers/fm/RS presentation/images/beta_3.png
+++ b/buch/papers/fm/FM presentation/images/beta_3.png
diff --git a/buch/papers/fm/RS presentation/images/fm_10Hz.png b/buch/papers/fm/FM presentation/images/fm_10Hz.png
index 51bddc7..51bddc7 100644
--- a/buch/papers/fm/RS presentation/images/fm_10Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_10Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_20hz.png b/buch/papers/fm/FM presentation/images/fm_20hz.png
index 126ecf3..126ecf3 100644
--- a/buch/papers/fm/RS presentation/images/fm_20hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_20hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_30Hz.png b/buch/papers/fm/FM presentation/images/fm_30Hz.png
index 371b9bf..371b9bf 100644
--- a/buch/papers/fm/RS presentation/images/fm_30Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_30Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_3Hz.png b/buch/papers/fm/FM presentation/images/fm_3Hz.png
index d4098af..d4098af 100644
--- a/buch/papers/fm/RS presentation/images/fm_3Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_3Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_40Hz.png b/buch/papers/fm/FM presentation/images/fm_40Hz.png
index 4cf11d4..4cf11d4 100644
--- a/buch/papers/fm/RS presentation/images/fm_40Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_40Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_5Hz.png b/buch/papers/fm/FM presentation/images/fm_5Hz.png
index e495b5c..e495b5c 100644
--- a/buch/papers/fm/RS presentation/images/fm_5Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_5Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_7Hz.png b/buch/papers/fm/FM presentation/images/fm_7Hz.png
index b3dd7e3..b3dd7e3 100644
--- a/buch/papers/fm/RS presentation/images/fm_7Hz.png
+++ b/buch/papers/fm/FM presentation/images/fm_7Hz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_frequenz.png b/buch/papers/fm/FM presentation/images/fm_frequenz.png
index 26bfd86..26bfd86 100644
--- a/buch/papers/fm/RS presentation/images/fm_frequenz.png
+++ b/buch/papers/fm/FM presentation/images/fm_frequenz.png
diff --git a/buch/papers/fm/RS presentation/images/fm_in_time.png b/buch/papers/fm/FM presentation/images/fm_in_time.png
index 068eafc..068eafc 100644
--- a/buch/papers/fm/RS presentation/images/fm_in_time.png
+++ b/buch/papers/fm/FM presentation/images/fm_in_time.png
diff --git a/buch/papers/fm/FM presentation/A2-14.pdf b/buch/papers/fm/Quellen/A2-14.pdf
index 7348cca..7348cca 100644
--- a/buch/papers/fm/FM presentation/A2-14.pdf
+++ b/buch/papers/fm/Quellen/A2-14.pdf
diff --git a/buch/papers/fm/RS presentation/FM_presentation.pdf b/buch/papers/fm/Quellen/FM_presentation.pdf
index 496e35e..496e35e 100644
--- a/buch/papers/fm/RS presentation/FM_presentation.pdf
+++ b/buch/papers/fm/Quellen/FM_presentation.pdf
diff --git a/buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf b/buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf
index a6e701c..a6e701c 100644
--- a/buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf
+++ b/buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf
diff --git a/buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf b/buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf
index 2a0bddd..2a0bddd 100644
--- a/buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf
+++ b/buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf
diff --git a/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf b/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf
deleted file mode 100644
index a6e701c..0000000
--- a/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf
+++ /dev/null
diff --git a/buch/papers/fm/RS presentation/README.txt b/buch/papers/fm/RS presentation/README.txt
deleted file mode 100644
index 4d0620f..0000000
--- a/buch/papers/fm/RS presentation/README.txt
+++ /dev/null
@@ -1 +0,0 @@
-Dies ist die Presentation des Reed-Solomon-Code
\ No newline at end of file
diff --git a/buch/papers/fm/RS presentation/RS.tex b/buch/papers/fm/RS presentation/RS.tex
deleted file mode 100644
index 8a67619..0000000
--- a/buch/papers/fm/RS presentation/RS.tex
+++ /dev/null
@@ -1,123 +0,0 @@
-%% !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}