\BOOKMARK [1][-]{section.1}{Einleitung}{}% 1
\BOOKMARK [2][-]{subsection.1.1}{Themen}{section.1}% 2
\BOOKMARK [2][-]{subsection.1.2}{Motivation}{section.1}% 3
\BOOKMARK [1][-]{section.2}{Hauptteil}{}% 4
\BOOKMARK [2][-]{subsection.2.1}{Generierung von elliptischen Galaxien}{section.2}% 5
\BOOKMARK [3][-]{subsubsection.2.1.1}{Das Navarro-Frenk-White Profil}{subsection.2.1}% 6
\BOOKMARK [3][-]{subsubsection.2.1.2}{Random Sampling}{subsection.2.1}% 7
\BOOKMARK [3][-]{subsubsection.2.1.3}{Lookup Tabellen}{subsection.2.1}% 8
\BOOKMARK [2][-]{subsection.2.2}{Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{section.2}% 9
\BOOKMARK [2][-]{subsection.2.3}{Stauchung und Streckung der Galaxie}{section.2}% 10
\BOOKMARK [2][-]{subsection.2.4}{Rechenaufwand}{section.2}% 11
\BOOKMARK [2][-]{subsection.2.5}{Beschleunigung der Generation}{section.2}% 12
\BOOKMARK [3][-]{subsubsection.2.5.1}{Lookuptable}{subsection.2.5}% 13
\BOOKMARK [3][-]{subsubsection.2.5.2}{Mehr Rechenleistung!}{subsection.2.5}% 14
\BOOKMARK [3][-]{subsubsection.2.5.3}{Nichts in der Konsole ausgeben}{subsection.2.5}% 15
\BOOKMARK [2][-]{subsection.2.6}{Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{section.2}% 16
\BOOKMARK [3][-]{subsubsection.2.6.1}{Aufbau des neuronalen Netzes}{subsection.2.6}% 17
\BOOKMARK [2][-]{subsection.2.7}{Spiralgalaxien}{section.2}% 18
\BOOKMARK [3][-]{subsubsection.2.7.1}{Das n-K\366rper Problem}{subsection.2.7}% 19
\BOOKMARK [3][-]{subsubsection.2.7.2}{Unterteilung des Vektorraumes in verschiedene Zellen}{subsection.2.7}% 20
\BOOKMARK [3][-]{subsubsection.2.7.3}{Berechnung der wirkenden Kr\344fte}{subsection.2.7}% 21
\BOOKMARK [2][-]{subsection.2.8}{Weiteres}{section.2}% 22
\BOOKMARK [1][-]{section.3}{Ergebnisse}{}% 23
\BOOKMARK [2][-]{subsection.3.1}{Simulations Geschwindigkeit}{section.3}% 24
\BOOKMARK [2][-]{subsection.3.2}{Lookuptabellen Geschwindigkeit}{section.3}% 25
\BOOKMARK [2][-]{subsection.3.3}{Fazit}{section.3}% 26
\BOOKMARK [1][-]{section.4}{Quellen und Hilfen}{}% 27
\BOOKMARK [1][-]{section.5}{Nach der Abgabe...}{}% 28
\BOOKMARK [2][-]{subsection.5.1}{Spiralgalaxien}{section.5}% 29
\BOOKMARK [2][-]{subsection.5.2}{Using Object Oriented Programming \(OOP\) techniques}{section.5}% 30
\BOOKMARK [3][-]{subsubsection.5.2.1}{Initialisation}{subsection.5.2}% 31
\BOOKMARK [2][-]{subsection.5.3}{Generation of new stars}{section.5}% 32
\BOOKMARK [2][-]{subsection.5.4}{Printing all the coordinates}{section.5}% 33
\BOOKMARK [2][-]{subsection.5.5}{Calculating the Forces acting between the Stars}{section.5}% 34
\BOOKMARK [2][-]{subsection.5.6}{Calculating the forces acting between each star in the galaxy and each other star}{section.5}% 35
\BOOKMARK [2][-]{subsection.5.7}{Printing all the individual forces}{section.5}% 36
\BOOKMARK [2][-]{subsection.5.8}{Spherical cells}{section.5}% 37
\BOOKMARK [3][-]{subsubsection.5.8.1}{Testing if a point is inside or outside a sphere}{subsection.5.8}% 38
\BOOKMARK [3][-]{subsubsection.5.8.2}{Testing if a star is inside or outside of a sphere for a whole galaxy}{subsection.5.8}% 39
\BOOKMARK [3][-]{subsubsection.5.8.3}{Generate the position of the spheres}{subsection.5.8}% 40
\BOOKMARK [3][-]{subsubsection.5.8.4}{The radius of the spheres}{subsection.5.8}% 41
\BOOKMARK [3][-]{subsubsection.5.8.5}{Calculate the forces acting on the spheres}{subsection.5.8}% 42
\BOOKMARK [3][-]{subsubsection.5.8.6}{Calculate the forces acting on all the spheres together}{subsection.5.8}% 43
\BOOKMARK [3][-]{subsubsection.5.8.7}{Benchmarks}{subsection.5.8}% 44
\BOOKMARK [2][-]{subsection.5.9}{Calculate the Position of a Star after a timestep}{section.5}% 45