From 21f9b99c67c52e9d164a9a42f46fd2fedd9860b0 Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Tue, 30 Aug 2022 23:18:54 +0200
Subject: kugel: Move figure

---
 buch/papers/kugel/applications.tex        |  1 +
 buch/papers/kugel/spherical-harmonics.tex | 29 +++++++++++++----------------
 2 files changed, 14 insertions(+), 16 deletions(-)

(limited to 'buch/papers')

diff --git a/buch/papers/kugel/applications.tex b/buch/papers/kugel/applications.tex
index 10bf153..481a3a5 100644
--- a/buch/papers/kugel/applications.tex
+++ b/buch/papers/kugel/applications.tex
@@ -18,6 +18,7 @@ the most interesting applications we came across during our research.
   \subfigure[Gauss' Law \label{kugel:fig:eeg-flux}]%
     {\includegraphics[width=.4\linewidth]{papers/kugel/figures/flux}}
   \caption{
+    Electroencephalography.
     \label{kugel:fig:eeg}
   }
 \end{figure}
diff --git a/buch/papers/kugel/spherical-harmonics.tex b/buch/papers/kugel/spherical-harmonics.tex
index b46d64d..b540531 100644
--- a/buch/papers/kugel/spherical-harmonics.tex
+++ b/buch/papers/kugel/spherical-harmonics.tex
@@ -33,16 +33,6 @@ that mathematics offers us.
 \subsection{Eigenvalue Problem}
 \label{kugel:sec:construction:eigenvalue}
 
-\begin{figure}
-  \centering
-  \includegraphics{papers/kugel/figures/tikz/spherical-coordinates}
-  \caption{
-    Spherical coordinate system. Space is described with the free variables $r
-    \in \mathbb{R}_0^+$, $\vartheta \in [0; \pi]$ and $\varphi \in [0; 2\pi)$.
-    \label{kugel:fig:spherical-coordinates}
-  }
-\end{figure}
-
 From Section \ref{buch:pde:section:kugel}, we know that the spherical Laplacian
 in the spherical coordinate system (shown in Figure
 \ref{kugel:fig:spherical-coordinates}) is is defined as
@@ -190,13 +180,20 @@ require a dedicated section of its own.
 
 \begin{figure}
   \centering
-  \includegraphics[
-    scale = 1.2,
-    trim = 0 40 0 0, clip,
-  ]{papers/kugel/figures/tikz/legendre-substitution}
+  \subfigure[Spherical coordinates. \label{kugel:fig:spherical-coordinates}]
+    {\includegraphics[width=.45\linewidth]{papers/kugel/figures/tikz/spherical-coordinates}}
+  \qquad
+  \subfigure[Substitution. \label{kugel:fig:legendre-substitution}]
+    {\includegraphics[
+      width=.45\linewidth
+      % scale = 1.2,
+      % trim = 0 40 0 0, clip,
+    ]{papers/kugel/figures/tikz/legendre-substitution}}
   \caption{
-    Sketch of the geometry.
-    \label{kugel:fig:legendre-substitution}
+    (a) Spherical coordinate system. Space is described with the free variables
+    $r \in \mathbb{R}_0^+$, $\vartheta \in [0; \pi]$ and $\varphi \in [0;
+    2\pi)$. (b) Geometrical intuition for the substitution to obtain the
+    Legendre equation.
   }
 \end{figure}
 
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