\select@language {ngerman}
\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 {section}{\numberline {2}Hauptteil}{3}{section.2}
\contentsline {subsection}{\numberline {2.1}Generierung der Elliptischen Galaxien}{3}{subsection.2.1}
\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{3}{subsubsection.2.1.1}
\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{3}{subsubsection.2.1.2}
\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos}{3}{subsection.2.2}
\contentsline {subsubsection}{\numberline {2.2.1}Anpassung des NFW-Profils}{4}{subsubsection.2.2.1}
\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{4}{subsection.2.3}
\contentsline {subsection}{\numberline {2.4}Beschleunigung der Generierung}{5}{subsection.2.4}
\contentsline {subsubsection}{\numberline {2.4.1}n-Sterne}{5}{subsubsection.2.4.1}
\contentsline {subsubsection}{\numberline {2.4.2}Lookuptable}{5}{subsubsection.2.4.2}
\contentsline {subsubsection}{\numberline {2.4.3}Weitere Optimierungen}{5}{subsubsection.2.4.3}
\contentsline {paragraph}{\nonumberline Nichts in der Konsole ausgeben:}{5}{section*.2}
\contentsline {paragraph}{\nonumberline ...}{5}{section*.3}
\contentsline {subsection}{\numberline {2.5}Nutzung eines Neuronalen Netzes zum unbeaufsichtigeten generieren}{6}{subsection.2.5}
\contentsline {subsubsection}{\numberline {2.5.1}Aufbau des Neuronalen Netzes}{6}{subsubsection.2.5.1}
\contentsline {subsubsection}{\numberline {2.5.2}Nutzung eines Neuronalen Netztes zur verbesserung von Galaxien Simulationen}{6}{subsubsection.2.5.2}
\contentsline {subsection}{\numberline {2.6}Spiralgalaxien}{7}{subsection.2.6}
\contentsline {subsubsection}{\numberline {2.6.1}Das n-K\IeC {\"o}rper Problem}{7}{subsubsection.2.6.1}
\contentsline {subsection}{\numberline {2.7}Gr\IeC {\"o}\IeC {\ss }eneinheiten}{7}{subsection.2.7}
\contentsline {section}{\numberline {3}Ergebnisse}{8}{section.3}
\contentsline {subsection}{\numberline {3.1}Simulation Speed}{8}{subsection.3.1}
\contentsline {subsection}{\numberline {3.2}Spiral Galaxies}{8}{subsection.3.2}
\contentsline {subsection}{\numberline {3.3}Lookup-Table Speed}{8}{subsection.3.3}
\contentsline {paragraph}{\nonumberline Python script}{8}{section*.4}
\contentsline {subsection}{\numberline {3.4}Distortion of Galaxies}{9}{subsection.3.4}
\contentsline {section}{\numberline {4}Quellen und Hilfen}{10}{section.4}
\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{10}{section*.6}
\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{10}{section*.7}
\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{10}{section*.8}