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author | Patrik Müller <patrik.mueller@ost.ch> | 2022-07-18 17:34:37 +0200 |
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committer | Patrik Müller <patrik.mueller@ost.ch> | 2022-07-18 17:34:37 +0200 |
commit | e1f5d6267540ea8dc758696fb08cb7540362cf8f (patch) | |
tree | 9262e3e7dd31bcea50a5e1dc43cab4fa8f681625 /buch/papers/laguerre/presentation/sections | |
parent | Change image scripts to PDF format, update Makefile, add complex plane plot (diff) | |
download | SeminarSpezielleFunktionen-e1f5d6267540ea8dc758696fb08cb7540362cf8f.tar.gz SeminarSpezielleFunktionen-e1f5d6267540ea8dc758696fb08cb7540362cf8f.zip |
First complete draft of Laguerre chapter
Diffstat (limited to '')
-rw-r--r-- | buch/papers/laguerre/presentation/sections/gamma_approx.tex | 24 | ||||
-rw-r--r-- | buch/papers/laguerre/presentation/sections/laguerre.tex | 3 |
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} |