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authorPatrik Müller <patrik.mueller@ost.ch>2022-07-18 17:34:37 +0200
committerPatrik Müller <patrik.mueller@ost.ch>2022-07-18 17:34:37 +0200
commite1f5d6267540ea8dc758696fb08cb7540362cf8f (patch)
tree9262e3e7dd31bcea50a5e1dc43cab4fa8f681625 /buch/papers/laguerre/presentation
parentChange image scripts to PDF format, update Makefile, add complex plane plot (diff)
downloadSeminarSpezielleFunktionen-e1f5d6267540ea8dc758696fb08cb7540362cf8f.tar.gz
SeminarSpezielleFunktionen-e1f5d6267540ea8dc758696fb08cb7540362cf8f.zip
First complete draft of Laguerre chapter
Diffstat (limited to 'buch/papers/laguerre/presentation')
-rw-r--r--buch/papers/laguerre/presentation/sections/gamma_approx.tex24
-rw-r--r--buch/papers/laguerre/presentation/sections/laguerre.tex3
2 files changed, 17 insertions, 10 deletions
diff --git a/buch/papers/laguerre/presentation/sections/gamma_approx.tex b/buch/papers/laguerre/presentation/sections/gamma_approx.tex
index 3d32aae..ecd02ab 100644
--- a/buch/papers/laguerre/presentation/sections/gamma_approx.tex
+++ b/buch/papers/laguerre/presentation/sections/gamma_approx.tex
@@ -49,7 +49,8 @@ R_n(\xi)
\begin{figure}[h]
\centering
% \scalebox{0.91}{\input{../images/rel_error_simple.pgf}}
-\resizebox{!}{0.72\textheight}{\input{../images/rel_error_simple.pgf}}
+% \resizebox{!}{0.72\textheight}{\input{../images/rel_error_simple.pgf}}
+\includegraphics[width=0.77\textwidth]{../images/rel_error_simple.pdf}
\caption{Relativer Fehler des einfachen Ansatzes für verschiedene reele Werte
von $z$ und Grade $n$ der Laguerre-Polynome}
\end{figure}
@@ -81,7 +82,8 @@ von $z$ und Grade $n$ der Laguerre-Polynome}
\begin{frame}{$f(x) = x^z$}
\begin{figure}[h]
\centering
-\scalebox{0.91}{\input{../images/integrand.pgf}}
+% \scalebox{0.91}{\input{../images/integrand.pgf}}
+\includegraphics[width=0.8\textwidth]{../images/integrand.pdf}
% \caption{Integrand $x^z$ mit unterschiedlichen Werten für $z$}
\end{figure}
\end{frame}
@@ -89,7 +91,8 @@ von $z$ und Grade $n$ der Laguerre-Polynome}
\begin{frame}{Integrand $x^z e^{-x}$}
\begin{figure}[h]
\centering
-\scalebox{0.91}{\input{../images/integrand_exp.pgf}}
+% \scalebox{0.91}{\input{../images/integrand_exp.pgf}}
+\includegraphics[width=0.8\textwidth]{../images/integrand_exp.pdf}
% \caption{Integrand $x^z$ mit unterschiedlichen Werten für $z$}
\end{figure}
\end{frame}
@@ -144,15 +147,16 @@ da Gauss-Quadratur nur für kleine $n$ praktischen Nutzen hat}
\begin{frame}{Schätzen von $m^*$}
\begin{columns}
-\begin{column}{0.6\textwidth}
+\begin{column}{0.65\textwidth}
\begin{figure}
\centering
-\vspace{-24pt}
-\scalebox{0.7}{\input{../images/estimates.pgf}}
+\vspace{-12pt}
+% \scalebox{0.7}{\input{../images/estimates.pgf}}
+\includegraphics[width=1.0\textwidth]{../images/estimates.pdf}
% \caption{Integrand $x^z$ mit unterschiedlichen Werten für $z$}
\end{figure}
\end{column}
-\begin{column}{0.39\textwidth}
+\begin{column}{0.34\textwidth}
\begin{align*}
\hat{m}
&=
@@ -173,7 +177,8 @@ m^*
\begin{frame}{}
\begin{figure}[h]
\centering
-\scalebox{0.6}{\input{../images/rel_error_shifted.pgf}}
+% \scalebox{0.6}{\input{../images/rel_error_shifted.pgf}}
+\includegraphics{../images/rel_error_shifted.pdf}
\caption{Relativer Fehler mit $n=8$, unterschiedlichen Verschiebungstermen $m$ und $z\in(0, 1)$}
\end{figure}
\end{frame}
@@ -181,7 +186,8 @@ m^*
\begin{frame}{}
\begin{figure}[h]
\centering
-\scalebox{0.6}{\input{../images/rel_error_range.pgf}}
+% \scalebox{0.6}{\input{../images/rel_error_range.pgf}}
+\includegraphics{../images/rel_error_range.pdf}
\caption{Relativer Fehler mit $n=8$, Verschiebungsterm $m^*$ und $z\in(-5, 5)$}
\end{figure}
\end{frame}
diff --git a/buch/papers/laguerre/presentation/sections/laguerre.tex b/buch/papers/laguerre/presentation/sections/laguerre.tex
index ed29387..f99214e 100644
--- a/buch/papers/laguerre/presentation/sections/laguerre.tex
+++ b/buch/papers/laguerre/presentation/sections/laguerre.tex
@@ -55,7 +55,8 @@ L_n(x)
\begin{frame}
\begin{figure}[h]
\centering
-\resizebox{0.74\textwidth}{!}{\input{../images/laguerre_poly.pgf}}
+% \resizebox{0.74\textwidth}{!}{\input{../images/laguerre_poly.pgf}}
+\includegraphics[width=0.7\textwidth]{../images/laguerre_poly.pdf}
\caption{Laguerre-Polynome vom Grad $0$ bis $7$}
\end{figure}
\end{frame}