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-rw-r--r--buch/papers/laguerre/presentation/sections/gamma.tex5
-rw-r--r--buch/papers/laguerre/presentation/sections/gamma_approx.tex20
-rw-r--r--buch/papers/laguerre/presentation/sections/laguerre.tex2
3 files changed, 17 insertions, 10 deletions
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}