From a3f22cf3df975a53f125340579937147afd95a1d Mon Sep 17 00:00:00 2001
From: Maria Marchwicka <maria.marchwicka@gmx.net>
Date: Thu, 6 Jun 2019 20:15:20 +0200
Subject: [PATCH] ball 4

---
 images/11n34.png                  | Bin 6012 -> 55868 bytes
 images/11n34.svg                  |  44 +-
 images/ball_4.pdf                 | Bin 3617 -> 4759 bytes
 images/ball_4.pdf_tex             |  20 +-
 images/ball_4.svg                 | 800 +++++++++++++++++++++++++++
 images/ball_complement_copies.svg | 860 ------------------------------
 images/covering.pdf               | Bin 0 -> 3468 bytes
 images/covering.pdf_tex           |  71 +++
 images/covering.svg               | 317 ++++++++++-
 9 files changed, 1210 insertions(+), 902 deletions(-)
 create mode 100644 images/ball_4.svg
 delete mode 100644 images/ball_complement_copies.svg
 create mode 100644 images/covering.pdf
 create mode 100644 images/covering.pdf_tex

diff --git a/images/11n34.png b/images/11n34.png
index 123e67dcc57c38fe1d357bdbdb2d24899fea4766..af610095a265ab7e7d2f9f6b02f8bd57bd666fc6 100644
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diff --git a/images/covering.pdf_tex b/images/covering.pdf_tex
new file mode 100644
index 0000000..3e380e9
--- /dev/null
+++ b/images/covering.pdf_tex
@@ -0,0 +1,71 @@
+%% Creator: Inkscape inkscape 0.92.2, www.inkscape.org
+%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
+%% Accompanies image file 'covering.pdf' (pdf, eps, ps)
+%%
+%% To include the image in your LaTeX document, write
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics{<filename>.pdf}
+%% To scale the image, write
+%%   \def\svgwidth{<desired width>}
+%%   \input{<filename>.pdf_tex}
+%%  instead of
+%%   \includegraphics[width=<desired width>]{<filename>.pdf}
+%%
+%% Images with a different path to the parent latex file can
+%% be accessed with the `import' package (which may need to be
+%% installed) using
+%%   \usepackage{import}
+%% in the preamble, and then including the image with
+%%   \import{<path to file>}{<filename>.pdf_tex}
+%% Alternatively, one can specify
+%%   \graphicspath{{<path to file>/}}
+%% 
+%% For more information, please see info/svg-inkscape on CTAN:
+%%   http://tug.ctan.org/tex-archive/info/svg-inkscape
+%%
+\begingroup%
+  \makeatletter%
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+    \renewcommand\color[2][]{}%
+  }%
+  \providecommand\transparent[1]{%
+    \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
+    \renewcommand\transparent[1]{}%
+  }%
+  \providecommand\rotatebox[2]{#2}%
+  \ifx\svgwidth\undefined%
+    \setlength{\unitlength}{2299.26027313bp}%
+    \ifx\svgscale\undefined%
+      \relax%
+    \else%
+      \setlength{\unitlength}{\unitlength * \real{\svgscale}}%
+    \fi%
+  \else%
+    \setlength{\unitlength}{\svgwidth}%
+  \fi%
+  \global\let\svgwidth\undefined%
+  \global\let\svgscale\undefined%
+  \makeatother%
+  \begin{picture}(1,0.32391422)%
+    \put(0,0){\includegraphics[width=\unitlength,page=1]{covering.pdf}}%
+    \put(0.36517261,0.14344765){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.08173531\unitlength}\raggedright $S_0$\end{minipage}}}%
+    \put(0.50092807,0.14212963){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.08173531\unitlength}\raggedright $N_0$\end{minipage}}}%
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+    \put(0.33178373,0.36960419){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.2255384\unitlength}\raggedright \end{minipage}}}%
+    \put(0.01309653,0.2920601){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.35886479\unitlength}\raggedright $t^{-1}a_0, t^{-1}a_1, t^{-1}a_2, \cdots, t^{-1}a_n$\end{minipage}}}%
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+    \put(0,0){\includegraphics[width=\unitlength,page=3]{covering.pdf}}%
+    \put(0.16216395,0.01462151){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.10438141\unitlength}\raggedright $a_j^{-}$\\ \end{minipage}}}%
+    \put(0.50047151,0.04817267){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.10438141\unitlength}\raggedright $a_i^{+}$\\ \end{minipage}}}%
+  \end{picture}%
+\endgroup%
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index bb7bf04..a4935ae 100644
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-   height="297mm"
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+   viewBox="0 0 144.9989 10.536824"
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    inkscape:version="0.92.2 5c3e80d, 2017-08-06"
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+       style="overflow:visible"
+       id="marker3455"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow2Mend">
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