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-rw-r--r--langfassung/docs/2_einleitung.tex47
-rw-r--r--langfassung/docs/3_hauptteil.tex49
-rw-r--r--langfassung/docs/4_ergebnisse.tex26
-rw-r--r--langfassung/master.aux20
-rw-r--r--langfassung/master.fdb_latexmk36
-rw-r--r--langfassung/master.fls15
-rw-r--r--langfassung/master.log313
-rw-r--r--langfassung/master.out7
-rw-r--r--langfassung/master.pdfbin189951 -> 223308 bytes
-rw-r--r--langfassung/master.synctex.gzbin38015 -> 49962 bytes
-rw-r--r--langfassung/master.tex3
-rw-r--r--langfassung/master.toc18
-rw-r--r--langfassung/master.x.gnuplot2
13 files changed, 369 insertions, 167 deletions
diff --git a/langfassung/docs/2_einleitung.tex b/langfassung/docs/2_einleitung.tex
index 806c214..bce9ec8 100644
--- a/langfassung/docs/2_einleitung.tex
+++ b/langfassung/docs/2_einleitung.tex
@@ -1,3 +1,4 @@
+op
 Einleitung
 
 \subsection{Themen}
@@ -16,4 +17,50 @@ Einleitung
 
 \subsection{Motivation}
 
+\paragraph{ \( \Phi \) }
+
+\begin{equation}
+  \Phi(r) = - \frac{4\pi G \rho_0 R_s^3}{r} \ln ( 1+ \frac{r}{R_s} )
+\end{equation}
+
+with the limits
+
+\begin{equation}
+  \lim_{r\to \infty} \Phi=0
+\end{equation}
+
+and
+
+\begin{equation}
+  \lim_{r\to 0} \Phi=-4\pi G\rho_0 R_s^2
+\end{equation}
+
+\paragraph{ \( \rho \) }
+
+\begin{equation}
+  \rho(r) = \frac{1}{\sqrt{2 \cdot \pi} \cdot \sigma} \cdot
+  e^{\left( - \frac{(\Phi(r)}{\sigma^{2}} \right)}
+\end{equation}
+
+\paragraph{\( \rho_{new} \rightarrow (deriviation) \) }
+
+\begin{equation}
+  \rho(r) \cdot 1-\frac{1}{(2 \cdot sigma^{2} )} \cdot
+  ( Mxx \cdot x^{2} + 2 \cdot Mxy \cdot xy + Myy \cdot y^{2} ))
+\end{equation}
+
+% def rho_new(x, y, z):
+%     a = (1 - ((1) / (2 * (sigma ** 2))) * ( Mxx * x**2 + 2 * Mxy * x * y + Myy * y**2 ) )
+%     return rho(x, y, z) * a
+%
+% # phi function
+% def phi(x):
+%     if x == 0:
+%         return -4 * pi * f_0 * G * R_s**2
+%
+%     a = - ( 4 * pi * G * f_0 * R_s ** 3 ) / x
+%     b = np.log(1. + (x / R_s) )
+%     c = a * b
+%     return c
+
 Motivations blah
diff --git a/langfassung/docs/3_hauptteil.tex b/langfassung/docs/3_hauptteil.tex
index eab3897..5174f08 100644
--- a/langfassung/docs/3_hauptteil.tex
+++ b/langfassung/docs/3_hauptteil.tex
@@ -43,14 +43,59 @@ Blender is Awesome, Python is Awesome and together they are
 
 \subsection{Making things faster}
 
-Kicking out to many Stars, 1 out of 10000 is just to much...
+\paragraph{ Kicking out to many Stars, 1 out of 10000 is just to much... }
+~\\
+
+\begin{itemize}
+  \item Use a custom Density function for each Axis
+  \begin{itemize}
+    \item \( \phi(r_x)\), \( \phi(r_y) \) and \( \phi(r_z) \)
+    \item more controll
+  \end{itemize}
+\end{itemize}
+
+\begin{tikzpicture}
+\begin{scope}
+
+    \node[draw] (H) at (0,-2)
+        {\( \phi(x_1) > rand_x \)};
+    \node[draw] (I) at (5,-2)
+        {\( \phi(y_1) > rand_y \)};
+    \node[draw] (J) at (10,-2)
+        {\( \phi(z_1) > rand_z \)};
+
+    \node[draw] (K) at (10, -4) {true};
+    \node[draw] (L) at (0, -4) {false};
+
+    \node[draw] (M) at (10, -6) {write data to data.csv};
+
+    \node[draw] (N) at (0, -6) {generate new random coordinates};
+
+\end{scope}
+
+\begin{scope} [every node/.style={fill=white,circle},
+              every edge/.style={draw=red,very thick}]
+
+    \path[->] (H) edge (K);
+    \path[->] (I) edge (K);
+    \path[->] (J) edge (K);
+    \path[->] (H) edge (L);
+    \path[->] (I) edge (L);
+    \path[->] (J) edge (L);
+
+    \path[->] (K) edge (M);
+    \path[->] (L) edge (N);
+
+\end{scope}
+
+\end{tikzpicture}
 
 \subsection{Spiral Galaxies}
 
 The previous Galaxy models where all using a completely spherical model, generating
 a spiral galaxy is just not possible using these models.
 
-\subsubsection{N-Körper problem}
+\subsubsection{N-body problem}
 
 Kurze Beschreibung des N-Körper Problems
 
diff --git a/langfassung/docs/4_ergebnisse.tex b/langfassung/docs/4_ergebnisse.tex
index abd806d..088b13e 100644
--- a/langfassung/docs/4_ergebnisse.tex
+++ b/langfassung/docs/4_ergebnisse.tex
@@ -22,6 +22,32 @@ Pro MegaByte können die Koordinaten von 10000 Sternen gespeichert werden.
 
 Die generierung von Spiralgalaxien gestaltet sich schweiriger als erwartet.
 
+\subsection{Lookup-Table Speed}
+
+\begin{tabular}{l | l | l}
+rho-values  & step  & time (in seconds) \\ \hline\hline
+1500000     & 1     & 8.07  \\
+750000      & 2     & 4.4   \\
+375000      & 4     & 2.26  \\
+187500      & 8     & 1.35  \\
+93750       & 16    & 0.76  \\
+\end{tabular}
+
+The correlation between the number of stars generated and the time needed ist
+clearly linear.
+
+\paragraph{Python script} ~\\
+\lstset{language=Python}
+\begin{lstlisting}[frame = single]
+import matplotlib.pyplot as plt
+
+list_time = [8.07, 4.4, 2.26, 1.35, 0.76]
+list_rho_values = [1500000, 750000, 375000, 187500, 93750]
+
+plt.plot(list_time, list_rho_values, '-ro')
+plt.show()
+\end{lstlisting}
+
 \subsection{Distortion of Galaxies}
 
 Galaxien verformen dinge
diff --git a/langfassung/master.aux b/langfassung/master.aux
index 41ce740..65d8f03 100644
--- a/langfassung/master.aux
+++ b/langfassung/master.aux
@@ -26,6 +26,9 @@
 \newlabel{Einleitung}{{1}{2}{Einleitung}{section.1}{}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen}{2}{subsection.1.1}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Motivation}{2}{subsection.1.2}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline \( \Phi \)}{2}{section*.2}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline \( \rho \)}{2}{section*.3}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline \( \rho _{new} \rightarrow (deriviation) \)}{2}{section*.4}}
 \@writefile{toc}{\contentsline {section}{\numberline {2}Hauptteil}{3}{section.2}}
 \newlabel{Hauptteil}{{2}{3}{Hauptteil}{section.2}{}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Notes}{3}{subsection.2.1}}
@@ -38,20 +41,23 @@
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Einasto profile}{4}{subsection.2.3}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Blender + Python}{4}{subsection.2.4}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Making things faster}{5}{subsection.2.5}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline Kicking out to many Stars, 1 out of 10000 is just to much...}{5}{section*.5}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.6}Spiral Galaxies}{5}{subsection.2.6}}
-\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}N-K\IeC {\"o}rper problem}{5}{subsubsection.2.6.1}}
+\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}N-body problem}{5}{subsubsection.2.6.1}}
 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.2}Hilbert Spiral}{5}{subsubsection.2.6.2}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Gr\IeC {\"o}\IeC {\ss }eneinheiten}{5}{subsection.2.7}}
 \@writefile{toc}{\contentsline {section}{\numberline {3}Ergebnisse}{6}{section.3}}
 \newlabel{ergebnisse}{{3}{6}{Ergebnisse}{section.3}{}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulation Speed}{6}{subsection.3.1}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Spiral Galaxies}{6}{subsection.3.2}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Distortion of Galaxies}{6}{subsection.3.3}}
-\@writefile{toc}{\contentsline {section}{\numberline {4}Quellen und Hilfen}{7}{section.4}}
-\newlabel{quellen}{{4}{7}{Quellen und Hilfen}{section.4}{}}
-\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{7}{section*.3}}
-\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{7}{section*.4}}
-\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{7}{section*.5}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Lookup-Table Speed}{6}{subsection.3.3}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline Python script}{6}{section*.6}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Distortion of Galaxies}{7}{subsection.3.4}}
+\@writefile{toc}{\contentsline {section}{\numberline {4}Quellen und Hilfen}{8}{section.4}}
+\newlabel{quellen}{{4}{8}{Quellen und Hilfen}{section.4}{}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{8}{section*.8}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{8}{section*.9}}
+\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{8}{section*.10}}
 \global\@namedef{scr@dte@section@lastmaxnumwidth}{11.8799pt}
 \global\@namedef{scr@dte@subsection@lastmaxnumwidth}{19.71382pt}
 \global\@namedef{scr@dte@subsubsection@lastmaxnumwidth}{28.8528pt}
diff --git a/langfassung/master.fdb_latexmk b/langfassung/master.fdb_latexmk
index e83a18b..a073a11 100644
--- a/langfassung/master.fdb_latexmk
+++ b/langfassung/master.fdb_latexmk
@@ -1,5 +1,5 @@
 # Fdb version 3
-["pdflatex"] 1511362333 "master.tex" "master.pdf" "master" 1511362334
+["pdflatex"] 1512422718 "master.tex" "master.pdf" "master" 1512422719
   "/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc" 1510784331 3486 c7eadf5dcc57b3b2d11736679f6636ba ""
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   "/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathsy.enc" 1510784331 2840 216e6e45ad352e2456e1149f28885bee ""
@@ -29,12 +29,15 @@
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   "/usr/share/texmf-dist/fonts/type1/public/lm/lmmi12.pfb" 1510784333 30696 2654571912f9cd384da9f7cb8a60c568 ""
+  "/usr/share/texmf-dist/fonts/type1/public/lm/lmmi6.pfb" 1510784333 31113 04b711c9a4c7f8cb4ed784c6fc4cc1c5 ""
   "/usr/share/texmf-dist/fonts/type1/public/lm/lmmi8.pfb" 1510784332 30635 833ec815d446ec453a4913fc26d24cbc ""
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   "/usr/share/texmf-dist/fonts/type1/public/lm/lmr17.pfb" 1510784332 119752 1bd8d06e4079df624bf59ce3ad7c9aa6 ""
+  "/usr/share/texmf-dist/fonts/type1/public/lm/lmr6.pfb" 1510784332 123394 d390152bb30feeb496aaaa93299ee9ba ""
   "/usr/share/texmf-dist/fonts/type1/public/lm/lmr8.pfb" 1510784332 122174 a7a08406857c9530a0320a2517f60370 ""
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   "/usr/share/texmf-dist/fonts/type1/public/lm/lmsy10.pfb" 1510784332 27863 09ce3735688ffde955e72da27c95b61a ""
+  "/usr/share/texmf-dist/fonts/type1/public/lm/lmsy8.pfb" 1510784332 27802 5c876bb2c4040caaf035d60bd74a86bd ""
   "/usr/share/texmf-dist/fonts/type1/public/lm/lmtt12.pfb" 1510784332 110323 92daea7ca7b4120bd2b54b047c93be27 ""
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@@ -136,6 +139,10 @@
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   "/usr/share/texmf-dist/tex/latex/latexconfig/hyperref.cfg" 1510784351 235 6031e5765137be07eed51a510b2b8fb7 ""
+  "/usr/share/texmf-dist/tex/latex/listings/listings.cfg" 1510784350 1827 d72ad54409ca5c1068a1939c63441bd2 ""
+  "/usr/share/texmf-dist/tex/latex/listings/listings.sty" 1510784350 80336 ff90c926c3d7bfdaa3d80ca57123b0bb ""
+  "/usr/share/texmf-dist/tex/latex/listings/lstlang1.sty" 1510784350 93445 48e5be20ba2d0a2ca5c4ce7e292a4bbc ""
+  "/usr/share/texmf-dist/tex/latex/listings/lstmisc.sty" 1510784350 77028 c3eb00afb55a32bc13ca8da7f5234377 ""
   "/usr/share/texmf-dist/tex/latex/lm/lmodern.sty" 1510784350 1606 c17281c7cff2bbd7ff0173e1433487ec ""
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   "/usr/share/texmf-dist/tex/latex/lm/omslmsy.fd" 1510784350 805 af340a8260c447aa315cfc740ff0152f ""
@@ -165,20 +172,21 @@
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+  "master.out" 1512422719 1577 8c8b082a5766a6f5c8d790f742d2e884 ""
+  "master.tex" 1512422442 3663 b961f57a5a4485630e57a2739768cc2e ""
+  "master.toc" 1512422719 2683 045b72e788ef0486ae97695d968a0345 ""
   (generated)
-  "master.out"
   "master.aux"
-  "master.pdf"
   "master.toc"
+  "master.x.gnuplot"
   "master.log"
+  "master.out"
+  "master.pdf"
diff --git a/langfassung/master.fls b/langfassung/master.fls
index 250f4b2..e3a6179 100644
--- a/langfassung/master.fls
+++ b/langfassung/master.fls
@@ -1,4 +1,4 @@
-PWD /home/hanemile/Nextcloud/JUFO/Langfassung
+PWD /home/hanemile/Documents/github/JUFO18_GalaxyGeneration/langfassung
 INPUT /usr/share/texmf-dist/web2c/texmf.cnf
 INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt
 INPUT master.tex
@@ -197,6 +197,12 @@ INPUT /usr/share/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.cod
 INPUT /usr/share/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
 INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
 INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
+INPUT /usr/share/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texmf-dist/tex/latex/listings/listings.cfg
+INPUT /usr/share/texmf-dist/tex/latex/listings/listings.cfg
 INPUT master.aux
 INPUT master.aux
 OUTPUT master.aux
@@ -272,24 +278,29 @@ INPUT docs/3_hauptteil.tex
 INPUT docs/3_hauptteil.tex
 INPUT docs/4_ergebnisse.tex
 INPUT docs/4_ergebnisse.tex
+INPUT /usr/share/texmf-dist/tex/latex/listings/lstlang1.sty
+INPUT /usr/share/texmf-dist/tex/latex/listings/lstlang1.sty
 INPUT docs/5_quellen.tex
 INPUT docs/5_quellen.tex
 INPUT master.aux
 INPUT ./master.out
 INPUT ./master.out
+INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc
 INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc
 INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rm.enc
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 INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmex10.pfb
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 INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmr12.pfb
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 INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmssbx10.pfb
 INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmsy10.pfb
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diff --git a/langfassung/master.log b/langfassung/master.log
index fd0e2dd..0199ddf 100644
--- a/langfassung/master.log
+++ b/langfassung/master.log
@@ -1,4 +1,4 @@
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+This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Arch Linux) (preloaded format=pdflatex 2017.12.3)  4 DEC 2017 22:25
 entering extended mode
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@@ -1030,32 +1030,53 @@ File: pgfmodulematrix.code.tex 2013/09/17  (rcs-revision 1.8)
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index ebce7ca..c2573b4 100644
--- a/langfassung/master.out
+++ b/langfassung/master.out
@@ -13,11 +13,12 @@
 \BOOKMARK [2][-]{subsection.2.4}{Blender + Python}{section.2}% 13
 \BOOKMARK [2][-]{subsection.2.5}{Making things faster}{section.2}% 14
 \BOOKMARK [2][-]{subsection.2.6}{Spiral Galaxies}{section.2}% 15
-\BOOKMARK [3][-]{subsubsection.2.6.1}{N-K\366rper problem}{subsection.2.6}% 16
+\BOOKMARK [3][-]{subsubsection.2.6.1}{N-body problem}{subsection.2.6}% 16
 \BOOKMARK [3][-]{subsubsection.2.6.2}{Hilbert Spiral}{subsection.2.6}% 17
 \BOOKMARK [2][-]{subsection.2.7}{Gr\366\337eneinheiten}{section.2}% 18
 \BOOKMARK [1][-]{section.3}{Ergebnisse}{}% 19
 \BOOKMARK [2][-]{subsection.3.1}{Simulation Speed}{section.3}% 20
 \BOOKMARK [2][-]{subsection.3.2}{Spiral Galaxies}{section.3}% 21
-\BOOKMARK [2][-]{subsection.3.3}{Distortion of Galaxies}{section.3}% 22
-\BOOKMARK [1][-]{section.4}{Quellen und Hilfen}{}% 23
+\BOOKMARK [2][-]{subsection.3.3}{Lookup-Table Speed}{section.3}% 22
+\BOOKMARK [2][-]{subsection.3.4}{Distortion of Galaxies}{section.3}% 23
+\BOOKMARK [1][-]{section.4}{Quellen und Hilfen}{}% 24
diff --git a/langfassung/master.pdf b/langfassung/master.pdf
index c39170c..d61dfc8 100644
--- a/langfassung/master.pdf
+++ b/langfassung/master.pdf
Binary files differdiff --git a/langfassung/master.synctex.gz b/langfassung/master.synctex.gz
index 2d05754..f9ed4ad 100644
--- a/langfassung/master.synctex.gz
+++ b/langfassung/master.synctex.gz
Binary files differdiff --git a/langfassung/master.tex b/langfassung/master.tex
index aa34893..b248c7e 100644
--- a/langfassung/master.tex
+++ b/langfassung/master.tex
@@ -12,6 +12,7 @@
 \usepackage{textcomp}
 
 \usepackage{tikz}
+\usepackage{listings}
 
 \usepackage{hyperref}
 \hypersetup{
@@ -67,7 +68,7 @@ urlcolor=black
   \item Compare the generated galaxies with real galaxies to find out if they
   are legit
   \item Generate the dark-matter, link the galaxies to the dark matter and watch
-  how the dark matter affects the galaxy while deforming the dark matter. 
+  how the dark matter affects the galaxy while deforming the dark matter.
 \end{itemize}
 
 \subsubsection{Generally building a galaxy}
diff --git a/langfassung/master.toc b/langfassung/master.toc
index 11af2a8..dce2f87 100644
--- a/langfassung/master.toc
+++ b/langfassung/master.toc
@@ -2,6 +2,9 @@
 \contentsline {section}{\numberline {1}Einleitung}{2}{section.1}
 \contentsline {subsection}{\numberline {1.1}Themen}{2}{subsection.1.1}
 \contentsline {subsection}{\numberline {1.2}Motivation}{2}{subsection.1.2}
+\contentsline {paragraph}{\nonumberline \( \Phi \)}{2}{section*.2}
+\contentsline {paragraph}{\nonumberline \( \rho \)}{2}{section*.3}
+\contentsline {paragraph}{\nonumberline \( \rho _{new} \rightarrow (deriviation) \)}{2}{section*.4}
 \contentsline {section}{\numberline {2}Hauptteil}{3}{section.2}
 \contentsline {subsection}{\numberline {2.1}Notes}{3}{subsection.2.1}
 \contentsline {subsubsection}{\numberline {2.1.1}Todo}{3}{subsubsection.2.1.1}
@@ -13,15 +16,18 @@
 \contentsline {subsection}{\numberline {2.3}Einasto profile}{4}{subsection.2.3}
 \contentsline {subsection}{\numberline {2.4}Blender + Python}{4}{subsection.2.4}
 \contentsline {subsection}{\numberline {2.5}Making things faster}{5}{subsection.2.5}
+\contentsline {paragraph}{\nonumberline Kicking out to many Stars, 1 out of 10000 is just to much...}{5}{section*.5}
 \contentsline {subsection}{\numberline {2.6}Spiral Galaxies}{5}{subsection.2.6}
-\contentsline {subsubsection}{\numberline {2.6.1}N-K\IeC {\"o}rper problem}{5}{subsubsection.2.6.1}
+\contentsline {subsubsection}{\numberline {2.6.1}N-body problem}{5}{subsubsection.2.6.1}
 \contentsline {subsubsection}{\numberline {2.6.2}Hilbert Spiral}{5}{subsubsection.2.6.2}
 \contentsline {subsection}{\numberline {2.7}Gr\IeC {\"o}\IeC {\ss }eneinheiten}{5}{subsection.2.7}
 \contentsline {section}{\numberline {3}Ergebnisse}{6}{section.3}
 \contentsline {subsection}{\numberline {3.1}Simulation Speed}{6}{subsection.3.1}
 \contentsline {subsection}{\numberline {3.2}Spiral Galaxies}{6}{subsection.3.2}
-\contentsline {subsection}{\numberline {3.3}Distortion of Galaxies}{6}{subsection.3.3}
-\contentsline {section}{\numberline {4}Quellen und Hilfen}{7}{section.4}
-\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{7}{section*.3}
-\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{7}{section*.4}
-\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{7}{section*.5}
+\contentsline {subsection}{\numberline {3.3}Lookup-Table Speed}{6}{subsection.3.3}
+\contentsline {paragraph}{\nonumberline Python script}{6}{section*.6}
+\contentsline {subsection}{\numberline {3.4}Distortion of Galaxies}{7}{subsection.3.4}
+\contentsline {section}{\numberline {4}Quellen und Hilfen}{8}{section.4}
+\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{8}{section*.8}
+\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{8}{section*.9}
+\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{8}{section*.10}
diff --git a/langfassung/master.x.gnuplot b/langfassung/master.x.gnuplot
new file mode 100644
index 0000000..84fcd41
--- /dev/null
+++ b/langfassung/master.x.gnuplot
@@ -0,0 +1,2 @@
+set table "master.x.table"; set format "%.5f"
+set samples 25; plot [x=-5:5] x*x
generated by cgit-pink 1.4.1
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