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')
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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