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authorJoshua Baer <joshua.baer@ost.ch>2022-07-26 15:14:53 +0200
committerJoshua Baer <joshua.baer@ost.ch>2022-07-26 15:14:53 +0200
commit80f1ac88befc8c0471a47f4400dd727cbd47eff4 (patch)
treed61ed14a047a90664f25185e1ca6f047b5adc65d
parentKapitel TODOs (diff)
downloadSeminarSpezielleFunktionen-80f1ac88befc8c0471a47f4400dd727cbd47eff4.tar.gz
SeminarSpezielleFunktionen-80f1ac88befc8c0471a47f4400dd727cbd47eff4.zip
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-rw-r--r--buch/papers/fm/FM presentation/FM_presentation.tex (renamed from buch/papers/fm/RS presentation/FM_presentation.tex)4
-rw-r--r--buch/papers/fm/FM presentation/README.txt1
-rw-r--r--buch/papers/fm/FM presentation/images/100HZ.png (renamed from buch/papers/fm/RS presentation/images/100HZ.png)bin8601 -> 8601 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/200HZ.png (renamed from buch/papers/fm/RS presentation/images/200HZ.png)bin8502 -> 8502 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/300HZ.png (renamed from buch/papers/fm/RS presentation/images/300HZ.png)bin9059 -> 9059 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/400HZ.png (renamed from buch/papers/fm/RS presentation/images/400HZ.png)bin9949 -> 9949 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/bessel.png (renamed from buch/papers/fm/RS presentation/images/bessel.png)bin40393 -> 40393 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/bessel2.png (renamed from buch/papers/fm/RS presentation/images/bessel2.png)bin102494 -> 102494 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/bessel_beta1.png (renamed from buch/papers/fm/RS presentation/images/bessel_beta1.png)bin40696 -> 40696 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/bessel_frequenz.png (renamed from buch/papers/fm/RS presentation/images/bessel_frequenz.png)bin11264 -> 11264 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_0.001.png (renamed from buch/papers/fm/RS presentation/images/beta_0.001.png)bin6233 -> 6233 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_0.1.png (renamed from buch/papers/fm/RS presentation/images/beta_0.1.png)bin6630 -> 6630 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_0.5.png (renamed from buch/papers/fm/RS presentation/images/beta_0.5.png)bin8167 -> 8167 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_1.png (renamed from buch/papers/fm/RS presentation/images/beta_1.png)bin11303 -> 11303 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_2.png (renamed from buch/papers/fm/RS presentation/images/beta_2.png)bin14703 -> 14703 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/beta_3.png (renamed from buch/papers/fm/RS presentation/images/beta_3.png)bin20377 -> 20377 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_10Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_10Hz.png)bin6781 -> 6781 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_20hz.png (renamed from buch/papers/fm/RS presentation/images/fm_20hz.png)bin7834 -> 7834 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_30Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_30Hz.png)bin8601 -> 8601 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_3Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_3Hz.png)bin6558 -> 6558 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_40Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_40Hz.png)bin8795 -> 8795 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_5Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_5Hz.png)bin5766 -> 5766 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_7Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_7Hz.png)bin6337 -> 6337 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_frequenz.png (renamed from buch/papers/fm/RS presentation/images/fm_frequenz.png)bin11042 -> 11042 bytes
-rw-r--r--buch/papers/fm/FM presentation/images/fm_in_time.png (renamed from buch/papers/fm/RS presentation/images/fm_in_time.png)bin27400 -> 27400 bytes
-rw-r--r--buch/papers/fm/Quellen/A2-14.pdf (renamed from buch/papers/fm/FM presentation/A2-14.pdf)bin259673 -> 259673 bytes
-rw-r--r--buch/papers/fm/Quellen/FM_presentation.pdf (renamed from buch/papers/fm/RS presentation/FM_presentation.pdf)bin357597 -> 357597 bytes
-rw-r--r--buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf (renamed from buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf)bin159598 -> 159598 bytes
-rw-r--r--buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf (renamed from buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf)bin4118379 -> 4118379 bytes
-rw-r--r--buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdfbin159598 -> 0 bytes
-rw-r--r--buch/papers/fm/RS presentation/README.txt1
-rw-r--r--buch/papers/fm/RS presentation/RS.tex123
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
Binary files differ
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
Binary files differ
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
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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
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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
Binary files differ
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
Binary files differ
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
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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
Binary files differ
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
Binary files differ
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
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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
Binary files differ
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
Binary files differ
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
Binary files differ
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
Binary files differ
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
Binary files differ
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
Binary files differ
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
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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
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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
Binary files differ
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
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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
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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
Binary files differ
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
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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
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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
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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
Binary files differ
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
Binary files differ
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
Binary files differ
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}