From 8fb46098cb8e42a94b8e01ecc809f536d5c7efaf Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Patrik=20M=C3=BCller?= <patrik.mueller@ost.ch>
Date: Fri, 3 Jun 2022 07:23:21 +0200
Subject: Minor tweaks of presentation

---
 buch/papers/laguerre/images/rel_error_shifted.pgf   |   4 ++--
 buch/papers/laguerre/images/targets.pdf             | Bin 12940 -> 13199 bytes
 .../papers/laguerre/presentation/sections/gamma.tex |   5 +++--
 .../laguerre/presentation/sections/gamma_approx.tex |  20 +++++++++++++-------
 .../laguerre/presentation/sections/laguerre.tex     |   2 +-
 buch/papers/laguerre/scripts/gamma_approx.py        |   2 +-
 6 files changed, 20 insertions(+), 13 deletions(-)

(limited to 'buch/papers/laguerre')

diff --git a/buch/papers/laguerre/images/rel_error_shifted.pgf b/buch/papers/laguerre/images/rel_error_shifted.pgf
index c11b676..707d492 100644
--- a/buch/papers/laguerre/images/rel_error_shifted.pgf
+++ b/buch/papers/laguerre/images/rel_error_shifted.pgf
@@ -1050,7 +1050,7 @@
 \pgfsetbuttcap%
 \pgfsetroundjoin%
 \pgfsetlinewidth{3.011250pt}%
-\definecolor{currentstroke}{rgb}{0.000000,0.750000,0.750000}%
+\definecolor{currentstroke}{rgb}{0.750000,0.000000,0.750000}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{{3.000000pt}{4.950000pt}}{0.000000pt}%
 \pgfpathmoveto{\pgfqpoint{0.712295in}{0.453273in}}%
@@ -1310,7 +1310,7 @@
 \pgfsetbuttcap%
 \pgfsetroundjoin%
 \pgfsetlinewidth{3.011250pt}%
-\definecolor{currentstroke}{rgb}{0.000000,0.750000,0.750000}%
+\definecolor{currentstroke}{rgb}{0.750000,0.000000,0.750000}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{{3.000000pt}{4.950000pt}}{0.000000pt}%
 \pgfpathmoveto{\pgfqpoint{5.398422in}{3.760989in}}%
diff --git a/buch/papers/laguerre/images/targets.pdf b/buch/papers/laguerre/images/targets.pdf
index adaeeef..df11068 100644
Binary files a/buch/papers/laguerre/images/targets.pdf and b/buch/papers/laguerre/images/targets.pdf differ
diff --git a/buch/papers/laguerre/presentation/sections/gamma.tex b/buch/papers/laguerre/presentation/sections/gamma.tex
index 37f4a0b..7dca39b 100644
--- a/buch/papers/laguerre/presentation/sections/gamma.tex
+++ b/buch/papers/laguerre/presentation/sections/gamma.tex
@@ -3,8 +3,9 @@
 \begin{frame}{Gamma-Funktion}
 \begin{columns}
 
-\begin{column}{0.48\textwidth}
+\begin{column}{0.55\textwidth}
 \begin{figure}[h]
+\vspace{-16pt}
 \centering
 % \scalebox{0.51}{\input{../images/gammaplot.pdf}}
 \includegraphics[width=1\textwidth]{../images/gammaplot.pdf}
@@ -12,7 +13,7 @@
 \end{figure}
 \end{column}
 
-\begin{column}{0.52\textwidth}
+\begin{column}{0.45\textwidth}
 Verallgemeinerung der Fakultät
 \begin{align*}
 \Gamma(n) = (n-1)!    
diff --git a/buch/papers/laguerre/presentation/sections/gamma_approx.tex b/buch/papers/laguerre/presentation/sections/gamma_approx.tex
index 2e4e4e2..4073b3c 100644
--- a/buch/papers/laguerre/presentation/sections/gamma_approx.tex
+++ b/buch/papers/laguerre/presentation/sections/gamma_approx.tex
@@ -48,7 +48,8 @@ R_n(\xi)
 
 \begin{figure}[h]
 \centering
-\scalebox{0.91}{\input{../images/rel_error_simple.pgf}}
+% \scalebox{0.91}{\input{../images/rel_error_simple.pgf}}
+\resizebox{!}{0.72\textheight}{\input{../images/rel_error_simple.pgf}}
 \caption{Relativer Fehler des einfachen Ansatzes für verschiedene reele Werte
 von $z$ und Grade $n$ der Laguerre-Polynome}
 \end{figure}
@@ -123,17 +124,22 @@ da Gauss-Quadratur nur für kleine $n$ praktischen Nutzen hat}
 \end{frame}
 
 \begin{frame}{Verschiebungsterm}
+\begin{columns}
+\begin{column}{0.625\textwidth}
+\begin{figure}[h]
+\centering
+\includegraphics[width=1\textwidth]{../images/targets.pdf}
+\caption{Optimaler Verschiebungsterm $m^*$ in Abhängigkeit von $z$ und $n$}
+\end{figure}
+\end{column}
+\begin{column}{0.375\textwidth}
 \begin{align*}
 \Gamma(z)
 \approx
 \frac{1}{(z-m)_{m}} \sum_{i=1}^{n} x_i^{z + m - 1} A_i
 \end{align*}
-
-\begin{figure}[h]
-\centering
-\includegraphics[width=0.5\textwidth]{../images/targets.pdf}
-\caption{Optimaler Verschiebungsterm $m^*$ in Abhängigkeit von $z$ und $n$}
-\end{figure}
+\end{column}
+\end{columns}
 \end{frame}
 
 \begin{frame}{Schätzen von $m^*$}
diff --git a/buch/papers/laguerre/presentation/sections/laguerre.tex b/buch/papers/laguerre/presentation/sections/laguerre.tex
index 1add511..07cafb8 100644
--- a/buch/papers/laguerre/presentation/sections/laguerre.tex
+++ b/buch/papers/laguerre/presentation/sections/laguerre.tex
@@ -55,7 +55,7 @@ L_n(x)
 \begin{frame}
 \begin{figure}[h]
 \centering
-\scalebox{0.66}{\input{../images/laguerre_polynomes.pgf}}
+\resizebox{0.74\textwidth}{!}{\input{../images/laguerre_polynomes.pgf}}
 \caption{Laguerre-Polynome vom Grad $0$ bis $7$}
 \end{figure}
 \end{frame}
diff --git a/buch/papers/laguerre/scripts/gamma_approx.py b/buch/papers/laguerre/scripts/gamma_approx.py
index 857c735..53ba76b 100644
--- a/buch/papers/laguerre/scripts/gamma_approx.py
+++ b/buch/papers/laguerre/scripts/gamma_approx.py
@@ -241,7 +241,7 @@ for target in targets:
     ax5.semilogy(x, rel_error, label=f"$m={target}$", linewidth=3)
 gamma_lgo = eval_laguerre_gamma(x, n=n, func="optimal_shifted")
 rel_error = np.abs(calc_rel_error(gamma, gamma_lgo))
-ax5.semilogy(x, rel_error, "c", linestyle="dotted", label="$m^*$", linewidth=3)
+ax5.semilogy(x, rel_error, "m", linestyle="dotted", label="$m^*$", linewidth=3)
 ax5.set_xlim(x[0], x[-1])
 ax5.set_ylim(5e-9, 5e-8)
 ax5.set_xlabel(r"$z$")
-- 
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