diff options
Diffstat (limited to 'langfassung')
| -rw-r--r-- | langfassung/docs/2_einleitung.aux | 30 | ||||
| -rw-r--r-- | langfassung/docs/3_hauptteil.aux | 67 | ||||
| -rw-r--r-- | langfassung/docs/4_ergebnisse.aux | 31 | ||||
| -rw-r--r-- | langfassung/docs/5_quellen.aux | 32 | ||||
| -rwxr-xr-x | langfassung/docs/6_abgabe.tex | 534 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.aux | 251 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.fdb_latexmk | 27 | ||||
| -rw-r--r-- | langfassung/master.fls | 8 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.log | 456 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.out | 27 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.pdf | bin | 878421 -> 952660 bytes | |||
| -rw-r--r-- | langfassung/master.synctex.gz | bin | 142055 -> 404757 bytes | |||
| -rwxr-xr-x | langfassung/master.tex | 11 | ||||
| -rw-r--r--[-rwxr-xr-x] | langfassung/master.toc | 131 |
14 files changed, 1199 insertions, 406 deletions
diff --git a/langfassung/docs/2_einleitung.aux b/langfassung/docs/2_einleitung.aux deleted file mode 100644 index 44243d1..0000000 --- a/langfassung/docs/2_einleitung.aux +++ /dev/null @@ -1,30 +0,0 @@ -\relax -\providecommand\hyper@newdestlabel[2]{} -\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen}{3}{subsection.1.1}} -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Motivation}{3}{subsection.1.2}} -\@setckpt{docs/2_einleitung}{ -\setcounter{page}{4} -\setcounter{equation}{0} -\setcounter{enumi}{0} -\setcounter{enumii}{0} -\setcounter{enumiii}{0} -\setcounter{enumiv}{0} -\setcounter{footnote}{2} -\setcounter{mpfootnote}{0} -\setcounter{part}{0} -\setcounter{section}{1} -\setcounter{subsection}{2} -\setcounter{subsubsection}{0} -\setcounter{paragraph}{0} -\setcounter{subparagraph}{0} -\setcounter{figure}{1} -\setcounter{table}{0} -\setcounter{parentequation}{0} -\setcounter{Item}{0} -\setcounter{Hfootnote}{2} -\setcounter{bookmark@seq@number}{3} -\setcounter{ContinuedFloat}{0} -\setcounter{lstnumber}{1} -\setcounter{section@level}{2} -\setcounter{lstlisting}{0} -} diff --git a/langfassung/docs/3_hauptteil.aux b/langfassung/docs/3_hauptteil.aux deleted file mode 100644 index f598ad5..0000000 --- a/langfassung/docs/3_hauptteil.aux +++ /dev/null @@ -1,67 +0,0 @@ -\relax -\providecommand\hyper@newdestlabel[2]{} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Generierung von elliptischen Galaxien}{5}{subsection.2.1}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{5}{subsubsection.2.1.1}} -\newlabel{eq:NFW_profile}{{1}{5}{Das Navarro-Frenk-White Profil}{equation.2.1}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{5}{subsubsection.2.1.2}} -\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }}{6}{figure.caption.3}} -\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} -\newlabel{fig:galaxy}{{2}{6}{Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }{figure.caption.3}{}} -\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }}{6}{figure.caption.4}} -\newlabel{fig:rho}{{3}{6}{Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. \\ Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie \\ Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }{figure.caption.4}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{7}{subsubsection.2.1.3}} -\newlabel{subsec:lookup}{{2.1.3}{7}{Lookup Tabellen}{subsubsection.2.1.3}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{7}{subsection.2.2}} -\newlabel{eq:dark_matter}{{3}{7}{Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{equation.2.3}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{7}{subsection.2.3}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{8}{subsection.2.4}} -\newlabel{subsec:big_o}{{2.4}{8}{Rechenaufwand}{subsection.2.4}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{8}{subsection.2.5}} -\newlabel{subsec:speeding_things_up}{{2.5}{8}{Beschleunigung der Generation}{subsection.2.5}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{8}{subsubsection.2.5.1}} -\newlabel{subsec:lookuptable}{{2.5.1}{8}{Lookuptable}{subsubsection.2.5.1}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{9}{subsubsection.2.5.2}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Amazon Web Services}{9}{section*.5}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{9}{subsubsection.2.5.3}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{9}{subsection.2.6}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{9}{subsubsection.2.6.1}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{10}{section*.6}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{11}{subsection.2.7}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{11}{subsubsection.2.7.1}} -\newlabel{eq:n-body-2nd}{{10}{11}{Das n-Körper Problem}{equation.2.10}{}} -\newlabel{eq:hamilton}{{11}{11}{Das n-Körper Problem}{equation.2.11}{}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{12}{subsubsection.2.7.2}} -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{12}{subsubsection.2.7.3}} -\newlabel{eq:gravitation_law}{{16}{12}{Berechnung der wirkenden Kräfte}{equation.2.16}{}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Masse der Sterne}{12}{section*.7}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Abstand der Sterne}{12}{section*.8}} -\newlabel{eq:pytagoras}{{17}{12}{Abstand der Sterne}{equation.2.17}{}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.8}Weiteres}{12}{subsection.2.8}} -\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }}{13}{figure.caption.9}} -\newlabel{fig:spiralgalaxy}{{4}{13}{Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }{figure.caption.9}{}} -\@setckpt{docs/3_hauptteil}{ -\setcounter{page}{14} -\setcounter{equation}{17} -\setcounter{enumi}{0} -\setcounter{enumii}{0} -\setcounter{enumiii}{0} -\setcounter{enumiv}{0} -\setcounter{footnote}{3} -\setcounter{mpfootnote}{0} -\setcounter{part}{0} -\setcounter{section}{2} -\setcounter{subsection}{8} -\setcounter{subsubsection}{0} -\setcounter{paragraph}{0} -\setcounter{subparagraph}{0} -\setcounter{figure}{4} -\setcounter{table}{0} -\setcounter{parentequation}{0} -\setcounter{Item}{0} -\setcounter{Hfootnote}{3} -\setcounter{bookmark@seq@number}{22} -\setcounter{ContinuedFloat}{0} -\setcounter{lstnumber}{15} -\setcounter{section@level}{2} -\setcounter{lstlisting}{0} -} diff --git a/langfassung/docs/4_ergebnisse.aux b/langfassung/docs/4_ergebnisse.aux deleted file mode 100644 index ec4d7a3..0000000 --- a/langfassung/docs/4_ergebnisse.aux +++ /dev/null @@ -1,31 +0,0 @@ -\relax -\providecommand\hyper@newdestlabel[2]{} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{15}{subsection.3.1}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{15}{subsection.3.2}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Fazit}{15}{subsection.3.3}} -\@setckpt{docs/4_ergebnisse}{ -\setcounter{page}{16} -\setcounter{equation}{17} -\setcounter{enumi}{0} -\setcounter{enumii}{0} -\setcounter{enumiii}{0} -\setcounter{enumiv}{0} -\setcounter{footnote}{3} -\setcounter{mpfootnote}{0} -\setcounter{part}{0} -\setcounter{section}{3} -\setcounter{subsection}{3} -\setcounter{subsubsection}{0} -\setcounter{paragraph}{0} -\setcounter{subparagraph}{0} -\setcounter{figure}{4} -\setcounter{table}{0} -\setcounter{parentequation}{0} -\setcounter{Item}{0} -\setcounter{Hfootnote}{3} -\setcounter{bookmark@seq@number}{26} -\setcounter{ContinuedFloat}{0} -\setcounter{lstnumber}{15} -\setcounter{section@level}{2} -\setcounter{lstlisting}{0} -} diff --git a/langfassung/docs/5_quellen.aux b/langfassung/docs/5_quellen.aux deleted file mode 100644 index f7e47e9..0000000 --- a/langfassung/docs/5_quellen.aux +++ /dev/null @@ -1,32 +0,0 @@ -\relax -\providecommand\hyper@newdestlabel[2]{} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{17}{section*.11}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tim Tugendhat}{17}{section*.12}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{17}{section*.13}} -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{17}{section*.14}} -\@setckpt{docs/5_quellen}{ -\setcounter{page}{18} -\setcounter{equation}{17} -\setcounter{enumi}{0} -\setcounter{enumii}{0} -\setcounter{enumiii}{0} -\setcounter{enumiv}{0} -\setcounter{footnote}{3} -\setcounter{mpfootnote}{0} -\setcounter{part}{0} -\setcounter{section}{4} -\setcounter{subsection}{0} -\setcounter{subsubsection}{0} -\setcounter{paragraph}{0} -\setcounter{subparagraph}{0} -\setcounter{figure}{4} -\setcounter{table}{0} -\setcounter{parentequation}{0} -\setcounter{Item}{0} -\setcounter{Hfootnote}{3} -\setcounter{bookmark@seq@number}{27} -\setcounter{ContinuedFloat}{0} -\setcounter{lstnumber}{15} -\setcounter{section@level}{4} -\setcounter{lstlisting}{0} -} diff --git a/langfassung/docs/6_abgabe.tex b/langfassung/docs/6_abgabe.tex index 22fe221..f8112d9 100755 --- a/langfassung/docs/6_abgabe.tex +++ b/langfassung/docs/6_abgabe.tex @@ -59,7 +59,7 @@ % \end{pmatrix} % \end{equation} -\subsection{Spiralgalaxien} +\subsection{Spiralgalaxies} \subsection{Using Object Oriented Programming (OOP) techniques} @@ -271,3 +271,535 @@ Not to be considered: \item any kind of resistance \item acceleration \end{itemize} + +\subsection{Notes} + +\begin{itemize} + \item Don't search for spheres very far away! +\end{itemize} + +\begin{equation} + % \sum_{lower}^{upper} + \sum_{lower}^{upper} - \sum_{lower}^{upper} + \sum A_{fi} + \sum B_{fi} - \sum AB_{fij} +\end{equation} + +\begin{itemize} + \item USE dictionaries to store which stars are in wich spheres +\end{itemize} + +\subsection{exec.py} + +The exec.py file is used to execute the galaxytools defined in galaxytools.py. + +\subsubsection{Importing the galaxytools} + +\begin{lstlisting} + import galaxytools as galaxytools +\end{lstlisting} + +The complete prgramm is compressed into one object. This Object has to be +imported in order to be used. + +\subsubsection{Generate a new galaxy} + +\begin{lstlisting} + galaxy = galaxytools.new_galaxy(100) +\end{lstlisting} + +Using the previously imported library, one can start building a galaxy by +calling the function new\_galaxy(...). The parameter inside the braces defines +the size of the galaxy. + +\subsubsection{Generate new stars in the galaxy} + +\begin{lstlisting} + galaxy.gen_new_stars(100) +\end{lstlisting} + +The function new\_stars(...) is used to generate in given amount of new stars. + +\subsubsection{Print the coordinates of every star in the galaxy relative to +the origin} + +\begin{lstlisting} + galaxy.print_stars() +\end{lstlisting} + +Printing the coordinates of every star in the galaxy is useful for debugging: +It is clearly visible if something is going wrong on the first look. The +range of the galaxy might be wrong or the whole galaxy might be completely +wrong scaled. + +\subsubsection{Calculate the forces acting inbetween all the stars in the +galaxy} + +\begin{lstlisting} + galaxy.calc_all_forces() +\end{lstlisting} + +the function calc\_all\_forces() if used to calculate all the forces acting +in the selected galaxy. The O notation for this can be calculated using the +following equation: \( O(n) = n^2 \). + +\subsubsection{Print the individual forces acting on the stars} + +\begin{lstlisting} + galaxy.print_individual_forces() +\end{lstlisting} + +The individual forces (x, y, z) acting on the star can be printed out too! +Just use the function print\_individual\_forces() and you will recieve the +individual forces nicley formatted. + +\subsubsection{Generate the coordinates of the positions for the spheres} + +\begin{lstlisting} + galaxy.gen_sphere_positions(2) +\end{lstlisting} + +To generate the sphere positions subdividing the galaxy, the +gen\_sphere\_positions(...) function is utilized. The Parameter defines how +many spheres are generated on one axis of the galaxy, so a higher value equals +more spheres and so a longer time to compute. An infinite high value can be used +if the value between each star should be calculated (use at own risk!). + +\subsubsection{Calculate the forces after 1 time step} + +\begin{lstlisting} + galaxy.gen_forces_after_t(1) +\end{lstlisting} + +Calculating the new position after one timestep makes it possible to animate +the galaxy and so visualizing it in an exciting way making people think you've +done something awesome! This can be acchieved by using the +gen\_forces\_after\_t(...) function. It uses a timestep as an argument and +uses it to calculate the new coordinates of the star. + +\subsection{galaxytools.py} + +Inside this file, pretty much everything for building a galaxy is defined. + +\subsubsection{Importing important libraries} + +\begin{lstlisting} +# Import libraries +import math as math # general math +import numpy as np # advanced math +# import matplotlib.pyplot as plt # plotting things +\end{lstlisting} + +This part of the code is used to import libraries which are then used to do +e.g. advanced math. + +\subsubsection{Generating the new\_galaxy class} + +\begin{lstlisting} +# class used to create galaxies +class new_galaxy(object): +\end{lstlisting} + +The class definition defines the galaxytools classname as new\_galaxy + +\subsubsection{Initialisation} + +\begin{lstlisting} + + # Initialisation + def __init__(self, galaxy_range): + print( + """>>> Initialising the list storing coordinates, forces and other + values""" + ) + + # list used for storing the coordinates os the stars + self.list_coords = [] + + # list storing the overall force acting on one star + self.list_force_star = [] + + # list storing the coordinates of the midpoints of the spheres dividing + # the galaxy into equaly big sized cells + self.list_sphere_coords = [] + + # self.list_sphere_stars = np.array(3, ) + + print("\tDone\n") + print(">>> Initialising variables and constants") + + # variable storing the number of stars generated + self.num_of_stars = 0 + + self.galaxy_range = int(galaxy_range) + + # define the universal gravitational constant + self.G = 6.67408 * 10e11 + + print("\tDone\n") + +\end{lstlisting} + +\subsubsection{Generating new stars} + +\begin{lstlisting} + + # generate n new stars and store the coordinates in list_coords + # n = number of stars to be generated + # galaxy_range = size of the galaxy + def gen_new_stars(self, n): + print(">>> Generating Stars...") + + # for a given number of stars + for i in range(0, n): + + # generate a temporary random coordinate inside a given range using + # numpy + self.temp_coord = np.random.uniform( + low=0, high=self.galaxy_range, size=(4, )) + + # append the random coordinate to the list storing the coordinates + self.list_coords.append(self.temp_coord) + + # increment the generated star counter + self.num_of_stars += n + print("\tDone") + print("\tGenerated " + str(n) + " Stars\n") + +\end{lstlisting} + +\subsubsection{Print out all the star coordinates} + +\begin{lstlisting} + + # print out all the coordinates in list_coords + def print_stars(self): + print(">>> Listing the coordinates of all stars:") + # print the coordinates of every star + for value in self.list_coords: + print(value) + + print("\tDone\n") + +\end{lstlisting} + +\subsubsection{Calculate the forces acting inbetween two stars} + +\begin{lstlisting} + + # calculate the forces acting between two stars on a specified axis + # star1 = coordinates of the first star + # star2 = coordinates of the second star + # axes = "x", "y" or "z" (CASE SENSITIVE!) + def calc_forces(self, star1, star2, axes): + if axes == "x": + mass = star1[3] * star2[3] + distance = math.sqrt(math.pow(star1[0] - star2[0], 2)) + elif axes == "y": + mass = star1[3] * star2[3] + distance = math.sqrt(math.pow(star1[1] - star2[1], 2)) + elif axes == "z": + mass = star1[3] * star2[3] + distance = math.sqrt(math.pow(star1[2] - star2[2], 2)) + + # stop division by zero + if distance == 0: + pass + else: + # return the acting force + return self.G * mass / math.pow(distance, 2) + +\end{lstlisting} + +\subsubsection{Calculate all the forces acting in the galaxy} + +\begin{lstlisting} + + # calculate all the forces acting in the current galaxy + def calc_all_forces(self): + print(">>> Calculating all the forces acting inbetween the stars:") + + if (self.num_of_stars <= 5): + # print some information above the columns + print(">>> Printing the forces acting inbetween every star") + print("{:-<60}".format("")) + print("\t| {:<3}| {:<3}| ".format("a", "b")) + print("\t+{:-<4}+{:-<4}+{:-<60} ".format("", "", "")) + + else: + print("\t[W] Too many stars to print out!") + print("{:-<60}".format("")) + + # for every star + for i in range(0, self.num_of_stars): + + # initialize + self.force = 0 + + # every other star: + for j in range(0, self.num_of_stars): + + # don't calculate the force between a star and and itself + if i != j and i < j: + self.arr_force = np.array((0, 0, 0)) + + # calculate the force between the two stars + force_x = self.calc_forces(self.list_coords[i], + self.list_coords[j], "x") + force_y = self.calc_forces(self.list_coords[i], + self.list_coords[j], "y") + force_z = self.calc_forces(self.list_coords[i], + self.list_coords[j], "z") + + # print("overall force: ", end="") + self.arr_force = np.array((force_x, force_y, force_z)) + + if (self.num_of_stars <= 5): + print("\t| {:<3}| {:<3}| {:<60}".format( + str(i), str(j), str(self.arr_force))) + """ + force_x = 42 + force_y = 36 + force_z = 24 + + (0, 0, 0) --> (42, 36, 24) + """ + + # append the variable to the list storing all the forces + self.list_force_star.append(self.arr_force) + + print("{:-<60}".format("")) + print("\tDone\n") + +\end{lstlisting} + +\subsubsection{Print the individual forces acting on one star} + +\begin{lstlisting} + + # print the individual forces acting on a star + def print_individual_forces(self, n=None, print_confirm=False): + print(">>> Printing the individual forces acting on every star") + + if self.num_of_stars > 10: + print("\t[W] Too many stars to print out!") + print("{:-<60}".format("")) + + for i in range(0, 3): + print("\t" + str(i) + " " + str(self.list_force_star[i])) + + print("\n\t...\n") + + for i in range( + int(len(self.list_force_star) - 3), + len(self.list_force_star)): + print("\t" + str(i) + " " + str(self.list_force_star[i])) + print("{:-<60}".format("")) + + else: + print("{:-<60}".format("")) + if n is None: + # for value in self.list_force_star: + for i in range(0, len(self.list_force_star)): + print("\t" + str(i) + " " + str(self.list_force_star[i])) + else: + print(self.list_force_star[n]) + + print("{:-<60}".format("")) + print("\tDone\n") + +\end{lstlisting} + +\subsubsection{Find out if a star is inside one sphere} + +\begin{lstlisting} + + # star [x, y, z, mass] + # sphere [x, y, z, radius] + def is_star_in_sphere(self, star, sphere): + + # define the sphere values + self.sphere_x = sphere[0] + self.sphere_y = sphere[1] + self.sphere_z = sphere[2] + self.sphere_r = sphere[3] + + # define the star coordinates + self.star_x = star[0] + self.star_y = star[1] + self.star_z = star[2] + + # find out the distance between the point and the center of the sphere + # if the distance is bigger than the radius of the sphere, the point is + # not inside the sphere. Elsewise, the point is inside the sphere + + x = math.pow(self.sphere_x - self.star_x, 2) + y = math.pow(self.sphere_y - self.star_y, 2) + z = math.pow(self.sphere_z - self.star_z, 2) + r = math.sqrt(x + y + z) + + if r > self.sphere_r: + return False + else: + return True + + # self.sphere_x_neg = self.sphere_x - self.sphere_r + # self.sphere_x_pos = self.sphere_x + self.sphere_r + # + # self.sphere_y_neg = self.sphere_y - self.sphere_r + # self.sphere_y_pos = self.sphere_y + self.sphere_r + # + # self.sphere_z_neg = self.sphere_z - self.sphere_r + # self.sphere_z_pos = self.sphere_z + self.sphere_r + # + # # find out if the star is inside the sphere + # if self.sphere_x_neg < self.star_x < self.sphere_x_pos: + # if self.sphere_y_neg < self.star_y < self.sphere_y_pos: + # if self.sphere_z_neg < self.star_z < self.sphere_z_pos: + # return True + # else: + # return False + # else: + # return False + # else: + # return False + +\end{lstlisting} + +\subsubsection{Find out which star in in which spheres} + +\begin{lstlisting} + + # find out which stars in in which spheres + def is_star_in_sphere_all(self): + + # print(self.sphrer_rs) + + print(">>> is_star_in_sphere_all") + + # initialize a temporary counter in order to index the spheres + tmp_counter = 0 + + # cycle through all the stars + for sphere in self.sphere_coords: + # print("sphere: " + str(sphere)) + + tmp_list = [] + for star in self.list_coords: + # parse the needed values from the sphere list + + # if the star is inside the sphere + if (self.is_star_in_sphere(star, sphere) is True): + # print("\nstar: " + str(star)) + + star_x = [] + + for value in star: + # print(value, end=" ") + # print("") + star_x.append(value) + + # print("star_x :" + str(star_x)) + + tmp_list.append(star_x) + + # print("") + # print("tmp_list: " + str(tmp_list)) + # print("END") + + self.sphere_coords[sphere] = tmp_list + + print("") + # print(self.sphere_coords) + + # cycle through the dictionary storing which star is in which cell + for value in self.sphere_coords: + stars_in_sphere = self.sphere_coords[value] + + # calculate the individual forces in the sphere + self.calc_forces_sphere(stars_in_sphere) + + # for value in stars_in_sphere: + # print(value) + +\end{lstlisting} + +\subsubsection{Generate the sphere positions} + +\begin{lstlisting} + + # function generating the positions of the sphere cells + def gen_sphere_positions(self, sampling_rate): + + print(">>> Generating the sphere positions") + + # initialize a dictionary linking the sphere coordinates to the + # coordiantes of the stars in the sphere + self.sphere_coords = {} + + # calculate the distance between the midpoints of the spheres + sphere_distance = int(round(self.galaxy_range / sampling_rate, 0)) + + # define the sphere_radius + tmp_var = math.pow(sphere_distance, 2) + sphere_radius = math.sqrt(tmp_var + tmp_var + tmp_var) + + # define a sphere counter for "labeling" the spheres + tmp_counter = 0 + + # cycle through all potential points + for i in range(-self.galaxy_range, self.galaxy_range, sphere_distance): + for j in range(-self.galaxy_range, self.galaxy_range, + sphere_distance): + for k in range(-self.galaxy_range, self.galaxy_range, + sphere_distance): + + # generate a temporary array combining all values + # temp_arr = np.array((i, j, k, sphere_radius, tmp_counter)) + tmp_arr = (i, j, k, sphere_radius, tmp_counter) + + # append the array to the list storing the sphere infos + # self.list_sphere_coords.append(temp_arr) + + # print("temp_arr: " + str(temp_arr)) + self.sphere_coords[tmp_arr[0:4]] = [] + + # increment the sphere counter + tmp_counter += 1 + + # print(self.sphere_coords) + print("\tDone\n") + +\end{lstlisting} + +\subsubsection{Calculate the forces acting inside the sphere} + +\begin{lstlisting} + + def calc_forces_sphere(self, stars_in_sphere): + print("stars_in_sphere: ", end="") + print(stars_in_sphere) + # for value in stars_in_sphere: + # self.calc_all_forces(stars_in_sphere) + # print(value) + +\end{lstlisting} + +\subsubsection{calculate the forces acting in every sphere} + +\begin{lstlisting} + + def calc_forces_sphere_all(): + # for i in range(0, len(num_of_spheres)): + # for star in sphere[i]: + # for star_2 in len(0, num_of_stars_in_sphere[i]) + # a = calc_force(star, star[j]) + + pass + + def gen_print_forces_after_t(t): + pass + + # def all_stars_in_sphere(self, star, se) + +\end{lstlisting} + +\subsection{GAN} diff --git a/langfassung/master.aux b/langfassung/master.aux index 0a6be6c..7ee3365 100755..100644 --- a/langfassung/master.aux +++ b/langfassung/master.aux @@ -50,16 +50,16 @@ \setcounter{section@level}{0} \setcounter{lstlisting}{0} } -\@writefile{toc}{\contentsline {section}{\numberline {1}Einleitung}{2}{section.1}} -\newlabel{Einleitung}{{1}{2}{Einleitung}{section.1}{}} +\@writefile{toc}{\contentsline {section}{\numberline {1}Einleitung}{3}{section.1}} +\newlabel{Einleitung}{{1}{3}{Einleitung}{section.1}{}} \@auxtag{docs/2_einleitung}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen}{2}{subsection.1.1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen}{3}{subsection.1.1}} } \@auxtag{docs/2_einleitung}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Motivation}{2}{subsection.1.2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Motivation}{3}{subsection.1.2}} } \@setckpt{docs/2_einleitung}{% -\setcounter{page}{2} +\setcounter{page}{3} \setcounter{equation}{0} \setcounter{enumi}{0} \setcounter{enumii}{0} @@ -85,95 +85,95 @@ \setcounter{section@level}{2} \setcounter{lstlisting}{0} } -\@writefile{toc}{\contentsline {section}{\numberline {2}Hauptteil}{3}{section.2}} -\newlabel{Hauptteil}{{2}{3}{Hauptteil}{section.2}{}} +\@writefile{toc}{\contentsline {section}{\numberline {2}Hauptteil}{4}{section.2}} +\newlabel{Hauptteil}{{2}{4}{Hauptteil}{section.2}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Generierung von elliptischen Galaxien}{3}{subsection.2.1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Generierung von elliptischen Galaxien}{4}{subsection.2.1}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{3}{subsubsection.2.1.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{4}{subsubsection.2.1.1}} } -\newlabel{eq:NFW_profile}{{1}{3}{Das Navarro-Frenk-White Profil}{equation.2.1}{}} +\newlabel{eq:NFW_profile}{{1}{4}{Das Navarro-Frenk-White Profil}{equation.2.1}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{3}{subsubsection.2.1.2}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{4}{subsubsection.2.1.2}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }}{4}{figure.caption.3}} +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }}{5}{figure.caption.3}} } \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} -\newlabel{fig:galaxy}{{2}{4}{Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }{figure.caption.3}{}} +\newlabel{fig:galaxy}{{2}{5}{Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }{figure.caption.3}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }}{4}{figure.caption.4}} +\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }}{5}{figure.caption.4}} } -\newlabel{fig:rho}{{3}{4}{Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. \\ Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie \\ Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }{figure.caption.4}{}} +\newlabel{fig:rho}{{3}{5}{Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. \\ Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie \\ Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }{figure.caption.4}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{5}{subsubsection.2.1.3}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{6}{subsubsection.2.1.3}} } -\newlabel{subsec:lookup}{{2.1.3}{5}{Lookup Tabellen}{subsubsection.2.1.3}{}} +\newlabel{subsec:lookup}{{2.1.3}{6}{Lookup Tabellen}{subsubsection.2.1.3}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{5}{subsection.2.2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{6}{subsection.2.2}} } -\newlabel{eq:dark_matter}{{3}{5}{Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{equation.2.3}{}} +\newlabel{eq:dark_matter}{{3}{6}{Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{equation.2.3}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{5}{subsection.2.3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{6}{subsection.2.3}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{6}{subsection.2.4}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{7}{subsection.2.4}} } -\newlabel{subsec:big_o}{{2.4}{6}{Rechenaufwand}{subsection.2.4}{}} +\newlabel{subsec:big_o}{{2.4}{7}{Rechenaufwand}{subsection.2.4}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{6}{subsection.2.5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{7}{subsection.2.5}} } -\newlabel{subsec:speeding_things_up}{{2.5}{6}{Beschleunigung der Generation}{subsection.2.5}{}} +\newlabel{subsec:speeding_things_up}{{2.5}{7}{Beschleunigung der Generation}{subsection.2.5}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{6}{subsubsection.2.5.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{7}{subsubsection.2.5.1}} } -\newlabel{subsec:lookuptable}{{2.5.1}{6}{Lookuptable}{subsubsection.2.5.1}{}} +\newlabel{subsec:lookuptable}{{2.5.1}{7}{Lookuptable}{subsubsection.2.5.1}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{7}{subsubsection.2.5.2}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{8}{subsubsection.2.5.2}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Amazon Web Services}{7}{section*.5}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Amazon Web Services}{8}{section*.5}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{7}{subsubsection.2.5.3}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{8}{subsubsection.2.5.3}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{7}{subsection.2.6}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{8}{subsection.2.6}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{7}{subsubsection.2.6.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{8}{subsubsection.2.6.1}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{8}{section*.6}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{9}{section*.6}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{9}{subsection.2.7}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{10}{subsection.2.7}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{9}{subsubsection.2.7.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{10}{subsubsection.2.7.1}} } -\newlabel{eq:n-body-2nd}{{10}{9}{Das n-Körper Problem}{equation.2.10}{}} -\newlabel{eq:hamilton}{{11}{9}{Das n-Körper Problem}{equation.2.11}{}} +\newlabel{eq:n-body-2nd}{{10}{10}{Das n-Körper Problem}{equation.2.10}{}} +\newlabel{eq:hamilton}{{11}{10}{Das n-Körper Problem}{equation.2.11}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{10}{subsubsection.2.7.2}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{11}{subsubsection.2.7.2}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{10}{subsubsection.2.7.3}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{11}{subsubsection.2.7.3}} } -\newlabel{eq:gravitation_law}{{16}{10}{Berechnung der wirkenden Kräfte}{equation.2.16}{}} +\newlabel{eq:gravitation_law}{{16}{11}{Berechnung der wirkenden Kräfte}{equation.2.16}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Masse der Sterne}{10}{section*.7}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Masse der Sterne}{11}{section*.7}} } \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Abstand der Sterne}{10}{section*.8}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Abstand der Sterne}{11}{section*.8}} } -\newlabel{eq:pytagoras}{{17}{10}{Abstand der Sterne}{equation.2.17}{}} +\newlabel{eq:pytagoras}{{17}{11}{Abstand der Sterne}{equation.2.17}{}} \@auxtag{docs/3_hauptteil}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {2.8}Weiteres}{10}{subsection.2.8}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.8}Weiteres}{11}{subsection.2.8}} } \@setckpt{docs/3_hauptteil}{% -\setcounter{page}{10} +\setcounter{page}{11} \setcounter{equation}{17} \setcounter{enumi}{0} \setcounter{enumii}{0} @@ -200,22 +200,22 @@ \setcounter{lstlisting}{0} } \@auxtag{docs/3_hauptteil}{% -\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }}{11}{figure.caption.9}} +\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }}{12}{figure.caption.9}} } -\newlabel{fig:spiralgalaxy}{{4}{11}{Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }{figure.caption.9}{}} -\@writefile{toc}{\contentsline {section}{\numberline {3}Ergebnisse}{11}{section.3}} -\newlabel{ergebnisse}{{3}{11}{Ergebnisse}{section.3}{}} +\newlabel{fig:spiralgalaxy}{{4}{12}{Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }{figure.caption.9}{}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Ergebnisse}{12}{section.3}} +\newlabel{ergebnisse}{{3}{12}{Ergebnisse}{section.3}{}} \@auxtag{docs/4_ergebnisse}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{11}{subsection.3.1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{12}{subsection.3.1}} } \@auxtag{docs/4_ergebnisse}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{11}{subsection.3.2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{12}{subsection.3.2}} } \@auxtag{docs/4_ergebnisse}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Fazit}{11}{subsection.3.3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Fazit}{12}{subsection.3.3}} } \@setckpt{docs/4_ergebnisse}{% -\setcounter{page}{12} +\setcounter{page}{13} \setcounter{equation}{17} \setcounter{enumi}{0} \setcounter{enumii}{0} @@ -241,22 +241,22 @@ \setcounter{section@level}{2} \setcounter{lstlisting}{0} } -\@writefile{toc}{\contentsline {section}{\numberline {4}Quellen und Hilfen}{13}{section.4}} -\newlabel{quellen}{{4}{13}{Quellen und Hilfen}{section.4}{}} +\@writefile{toc}{\contentsline {section}{\numberline {4}Quellen und Hilfen}{14}{section.4}} +\newlabel{quellen}{{4}{14}{Quellen und Hilfen}{section.4}{}} \@auxtag{docs/5_quellen}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{13}{section*.11}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{14}{section*.11}} } \@auxtag{docs/5_quellen}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tim Tugendhat}{13}{section*.12}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tim Tugendhat}{14}{section*.12}} } \@auxtag{docs/5_quellen}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{13}{section*.13}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{14}{section*.13}} } \@auxtag{docs/5_quellen}{% -\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{13}{section*.14}} +\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{14}{section*.14}} } \@setckpt{docs/5_quellen}{% -\setcounter{page}{13} +\setcounter{page}{14} \setcounter{equation}{17} \setcounter{enumi}{0} \setcounter{enumii}{0} @@ -282,68 +282,143 @@ \setcounter{section@level}{4} \setcounter{lstlisting}{0} } -\@writefile{toc}{\contentsline {section}{\numberline {5}Nach der Abgabe...}{14}{section.5}} -\newlabel{nach_der_abgabe}{{5}{14}{Nach der Abgabe..}{section.5}{}} +\@writefile{toc}{\contentsline {section}{\numberline {5}Nach der Abgabe...}{15}{section.5}} +\newlabel{nach_der_abgabe}{{5}{15}{Nach der Abgabe..}{section.5}{}} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Spiralgalaxies}{15}{subsection.5.1}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Using Object Oriented Programming (OOP) techniques}{15}{subsection.5.2}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.1}Initialisation}{15}{subsubsection.5.2.1}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Generation of new stars}{15}{subsection.5.3}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.4}Printing all the coordinates}{15}{subsection.5.4}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.5}Calculating the Forces acting between the Stars}{15}{subsection.5.5}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.6}Calculating the forces acting between each star in the galaxy and each other star}{16}{subsection.5.6}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.7}Printing all the individual forces}{16}{subsection.5.7}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.8}Spherical cells}{16}{subsection.5.8}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.1}Testing if a point is inside or outside a sphere}{16}{subsubsection.5.8.1}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.2}Testing if a star is inside or outside of a sphere for a whole galaxy}{16}{subsubsection.5.8.2}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.3}Generate the position of the spheres}{16}{subsubsection.5.8.3}} +} +\newlabel{sphere_distance}{{20}{16}{Generate the position of the spheres}{equation.5.20}{}} +\@auxtag{docs/6_abgabe}{% +\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces The Alignment of the spheres Left: The perfect alignment covering the complete space Right: A previously generated alignment using small spheres to cover the missing space \relax }}{17}{figure.caption.15}} +} +\newlabel{sphere_alignment}{{5}{17}{The Alignment of the spheres\\ Left: The perfect alignment covering the complete space\\ Right: A previously generated alignment using small spheres to cover the missing space \relax }{figure.caption.15}{}} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.4}The radius of the spheres}{17}{subsubsection.5.8.4}} +} +\newlabel{sphere_radius}{{21}{17}{The radius of the spheres}{equation.5.21}{}} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.5}Calculate the forces acting on the spheres}{17}{subsubsection.5.8.5}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.6}Calculate the forces acting on all the spheres together}{18}{subsubsection.5.8.6}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.7}Benchmarks}{18}{subsubsection.5.8.7}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.9}Calculate the Position of a Star after a timestep}{18}{subsection.5.9}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.10}Notes}{18}{subsection.5.10}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsection}{\numberline {5.11}exec.py}{19}{subsection.5.11}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.1}Importing the galaxytools}{19}{subsubsection.5.11.1}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.2}Generate a new galaxy}{19}{subsubsection.5.11.2}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.3}Generate new stars in the galaxy}{19}{subsubsection.5.11.3}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.4}Print the coordinates of every star in the galaxy relative to the origin}{19}{subsubsection.5.11.4}} +} +\@auxtag{docs/6_abgabe}{% +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.5}Calculate the forces acting inbetween all the stars in the galaxy}{19}{subsubsection.5.11.5}} +} \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Spiralgalaxien}{14}{subsection.5.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.6}Print the individual forces acting on the stars}{19}{subsubsection.5.11.6}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Using Object Oriented Programming (OOP) techniques}{14}{subsection.5.2}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.7}Generate the coordinates of the positions for the spheres}{20}{subsubsection.5.11.7}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.1}Initialisation}{14}{subsubsection.5.2.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.8}Calculate the forces after 1 time step}{20}{subsubsection.5.11.8}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Generation of new stars}{14}{subsection.5.3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {5.12}galaxytools.py}{20}{subsection.5.12}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.4}Printing all the coordinates}{14}{subsection.5.4}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.1}Importing important libraries}{20}{subsubsection.5.12.1}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.5}Calculating the Forces acting between the Stars}{14}{subsection.5.5}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.2}Generating the new\_galaxy class}{20}{subsubsection.5.12.2}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.6}Calculating the forces acting between each star in the galaxy and each other star}{15}{subsection.5.6}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.3}Initialisation}{20}{subsubsection.5.12.3}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.7}Printing all the individual forces}{15}{subsection.5.7}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.4}Generating new stars}{21}{subsubsection.5.12.4}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.8}Spherical cells}{15}{subsection.5.8}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.5}Print out all the star coordinates}{21}{subsubsection.5.12.5}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.1}Testing if a point is inside or outside a sphere}{15}{subsubsection.5.8.1}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.6}Calculate the forces acting inbetween two stars}{22}{subsubsection.5.12.6}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.2}Testing if a star is inside or outside of a sphere for a whole galaxy}{15}{subsubsection.5.8.2}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.7}Calculate all the forces acting in the galaxy}{22}{subsubsection.5.12.7}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.3}Generate the position of the spheres}{15}{subsubsection.5.8.3}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.8}Print the individual forces acting on one star}{23}{subsubsection.5.12.8}} } -\newlabel{sphere_distance}{{20}{15}{Generate the position of the spheres}{equation.5.20}{}} \@auxtag{docs/6_abgabe}{% -\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces The Alignment of the spheres Left: The perfect alignment covering the complete space Right: A previously generated alignment using small spheres to cover the missing space \relax }}{16}{figure.caption.15}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.9}Find out if a star is inside one sphere}{24}{subsubsection.5.12.9}} } -\newlabel{sphere_alignment}{{5}{16}{The Alignment of the spheres\\ Left: The perfect alignment covering the complete space\\ Right: A previously generated alignment using small spheres to cover the missing space \relax }{figure.caption.15}{}} \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.4}The radius of the spheres}{16}{subsubsection.5.8.4}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.10}Find out which star in in which spheres}{25}{subsubsection.5.12.10}} } -\newlabel{sphere_radius}{{21}{16}{The radius of the spheres}{equation.5.21}{}} \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.5}Calculate the forces acting on the spheres}{16}{subsubsection.5.8.5}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.11}Generate the sphere positions}{26}{subsubsection.5.12.11}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.6}Calculate the forces acting on all the spheres together}{17}{subsubsection.5.8.6}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.12}Calculate the forces acting inside the sphere}{26}{subsubsection.5.12.12}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.7}Benchmarks}{17}{subsubsection.5.8.7}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.13}calculate the forces acting in every sphere}{26}{subsubsection.5.12.13}} } \@auxtag{docs/6_abgabe}{% -\@writefile{toc}{\contentsline {subsection}{\numberline {5.9}Calculate the Position of a Star after a timestep}{17}{subsection.5.9}} +\@writefile{toc}{\contentsline {subsection}{\numberline {5.13}GAN}{27}{subsection.5.13}} } \@setckpt{docs/6_abgabe}{% -\setcounter{page}{17} -\setcounter{equation}{21} +\setcounter{page}{27} +\setcounter{equation}{22} \setcounter{enumi}{0} \setcounter{enumii}{0} \setcounter{enumiii}{0} @@ -352,7 +427,7 @@ \setcounter{mpfootnote}{0} \setcounter{part}{0} \setcounter{section}{5} -\setcounter{subsection}{9} +\setcounter{subsection}{13} \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} @@ -361,7 +436,7 @@ \setcounter{parentequation}{0} \setcounter{Item}{0} \setcounter{Hfootnote}{3} -\setcounter{bookmark@seq@number}{45} +\setcounter{bookmark@seq@number}{70} \setcounter{IncludeDepth}{0} \setcounter{ContinuedFloat}{0} \setcounter{lstnumber}{15} @@ -369,5 +444,5 @@ \setcounter{lstlisting}{0} } \global\@namedef{scr@dte@section@lastmaxnumwidth}{9.89993pt} -\global\@namedef{scr@dte@subsection@lastmaxnumwidth}{16.7777pt} -\global\@namedef{scr@dte@subsubsection@lastmaxnumwidth}{24.55545pt} +\global\@namedef{scr@dte@subsection@lastmaxnumwidth}{21.7777pt} +\global\@namedef{scr@dte@subsubsection@lastmaxnumwidth}{34.55545pt} diff --git a/langfassung/master.fdb_latexmk b/langfassung/master.fdb_latexmk index 4204fe5..ce25814 100755..100644 --- a/langfassung/master.fdb_latexmk +++ b/langfassung/master.fdb_latexmk @@ -1,5 +1,5 @@ # Fdb version 3 -["pdflatex"] 1518176572 "master.tex" "master.pdf" "master" 1518176574 +["pdflatex"] 1519571828 "master.tex" "master.pdf" "master" 1519571831 "/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc" 1510784331 3486 c7eadf5dcc57b3b2d11736679f6636ba "" "/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc" 1510784331 2405 5dcf2c1b967ee25cc46c58cd52244aed "" "/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathsy.enc" 1510784331 2840 216e6e45ad352e2456e1149f28885bee "" @@ -26,6 +26,7 @@ "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmr6.tfm" 1510784343 11836 e3b6ce3e601aec94f64a536e7f4224d5 "" "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmr7.tfm" 1510784343 11852 5a9022f105fd1ee2797df861e79ae9a0 "" "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmr8.tfm" 1510784343 11864 309fd7f43e4a0ba39f6f7644d76e8edf "" + "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmri10.tfm" 1510784343 16968 1b588d0f410bd67a83eaecf8c64b2a43 "" "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmss10.tfm" 1510784343 10976 59d4d2acacc56ba9abc92645023932ec "" "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmssbx10.tfm" 1510784343 10956 dad25672db463289a56f0700c0488a86 "" "/usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmtt10.tfm" 1510784343 1340 adaa94f9add991a099a6fc98bbb5f02c "" @@ -43,6 +44,7 @@ "/usr/share/texmf-dist/fonts/type1/public/lm/lmr6.pfb" 1510784332 123394 d390152bb30feeb496aaaa93299ee9ba "" "/usr/share/texmf-dist/fonts/type1/public/lm/lmr7.pfb" 1510784332 121145 68312a933e2c689ed40ec0aba373e279 "" "/usr/share/texmf-dist/fonts/type1/public/lm/lmr8.pfb" 1510784332 122174 a7a08406857c9530a0320a2517f60370 "" + "/usr/share/texmf-dist/fonts/type1/public/lm/lmri10.pfb" 1510784332 112593 fda2373ba4420af33949610de4c28fe8 "" "/usr/share/texmf-dist/fonts/type1/public/lm/lmssbx10.pfb" 1510784332 119663 e82fa1a58f98ccd89bdbd77311ac9cf1 "" "/usr/share/texmf-dist/fonts/type1/public/lm/lmsy10.pfb" 1510784332 27863 09ce3735688ffde955e72da27c95b61a "" "/usr/share/texmf-dist/fonts/type1/public/lm/lmsy7.pfb" 1510784332 27941 d1f5d03f61a46c3fcc3a2ba904ddda52 "" @@ -158,6 +160,8 @@ "/usr/share/texmf-dist/tex/latex/listings/lstmisc.sty" 1510784350 77028 c3eb00afb55a32bc13ca8da7f5234377 "" "/usr/share/texmf-dist/tex/latex/lm/lmodern.sty" 1510784350 1606 c17281c7cff2bbd7ff0173e1433487ec "" "/usr/share/texmf-dist/tex/latex/lm/omllmm.fd" 1510784350 888 44447a3a3af84a22454ef89500942d93 "" + "/usr/share/texmf-dist/tex/latex/lm/omllmr.fd" 1510784350 1014 b44f996e1fb8d1548178b60325f9547d "" + "/usr/share/texmf-dist/tex/latex/lm/omslmr.fd" 1510784350 1013 f8133048bddeed1bf1041c9d830a3723 "" "/usr/share/texmf-dist/tex/latex/lm/omslmsy.fd" 1510784350 805 af340a8260c447aa315cfc740ff0152f "" "/usr/share/texmf-dist/tex/latex/lm/omxlmex.fd" 1510784350 566 a94661f7b66063f191960bb7935b6ba2 "" "/usr/share/texmf-dist/tex/latex/lm/ot1lmr.fd" 1510784350 1880 bae7b659316f7344a86218ad38b01d91 "" @@ -188,27 +192,22 @@ "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1517504663 2404736 6ca9e6023b4459829efec74926ef1c58 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1517504637 7736837 37c869a4b6afb01be7fdde576c304f64 "" "docs/1_kurzfassung.tex" 1517318438 994 74b88a132e4f651b58ad24ce5a45aa13 "" - "docs/2_einleitung.tex" 1517318438 2688 3128813c5bf12e1bf9b6abf3149bb698 "" + "docs/2_einleitung.tex" 1518211606 2688 3128813c5bf12e1bf9b6abf3149bb698 "" "docs/3_hauptteil.tex" 1517318438 27077 2c6e67804bf2bae299b1587798dc19b2 "" "docs/4_ergebnisse.tex" 1517318438 1532 aa09ddbc132532cf7821686a80cfaee0 "" "docs/5_quellen.tex" 1518128318 1372 ae0519f8932ec3157eb1ca10f5c6176f "" - "docs/6_abgabe.tex" 1518176570 8643 ecf661de0bb8cc8207825a23b87ea6b2 "" + "docs/6_abgabe.tex" 1519571822 26231 eb07adba5a6d9d3ab3550589e12b99e0 "" "figs/galaxy.png" 1517318437 158503 2e9f6025259ce041725bc1968c473272 "" "figs/lookup_table_rho_r_function_grid.png" 1517318437 20668 e982125a5ea76649c632f90e900f7eef "" "figs/sphere_alignment_cc.jpg" 1518123171 264400 13884e280e86d92f54f6ff87556db6bf "" "figs/spiralgalaxy.png" 1517318437 321656 70b5e0b43994c9c1d7a43cad1dee7910 "" - "master.aux" 1518176574 15985 3324682537796f6d154afd0680828ceb "" - "master.out" 1518176574 3677 b61fa051f86f22a18af030789f5c3d0e "" - "master.tex" 1518173850 2781 f3bf2ca1618ca79e70062c24267db86c "" - "master.toc" 1518176574 5055 a92c318f404f71ca12e2078a175d2902 "" + "master.aux" 1519571831 19906 778d1da799a2aa806f9a828e9b7c0544 "" + "master.out" 1519571831 6037 db8588ad2d77e7447a32fb30b6947fe9 "" + "master.tex" 1518627582 2648 bf6b8ac646f65e3eda1ded67e9ac41d6 "" + "master.toc" 1519571831 7823 7225d135c036278eb3dbbba651637b68 "" (generated) - "master.toc" - "master.pdf" "master.aux" "master.out" - "docs/3_hauptteil.aux" - "docs/5_quellen.aux" - "docs/4_ergebnisse.aux" + "master.toc" "master.log" - "docs/2_einleitung.aux" - "docs/6_abgabe.aux" + "master.pdf" diff --git a/langfassung/master.fls b/langfassung/master.fls index 0ff9eba..7a9c757 100644 --- a/langfassung/master.fls +++ b/langfassung/master.fls @@ -311,11 +311,16 @@ INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmtt8.tfm INPUT figs/sphere_alignment_cc.jpg INPUT ./figs/sphere_alignment_cc.jpg INPUT ./figs/sphere_alignment_cc.jpg +INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/rm-lmri10.tfm +INPUT /usr/share/texmf-dist/tex/latex/lm/omllmr.fd +INPUT /usr/share/texmf-dist/tex/latex/lm/omllmr.fd +INPUT /usr/share/texmf-dist/tex/latex/lm/omslmr.fd +INPUT /usr/share/texmf-dist/tex/latex/lm/omslmr.fd INPUT master.aux INPUT ./master.out INPUT ./master.out -INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rmtt.enc INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rm.enc +INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rmtt.enc INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathsy.enc INPUT /usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc @@ -331,6 +336,7 @@ INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmr5.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmr6.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmr7.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmr8.pfb +INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmri10.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmssbx10.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmsy10.pfb INPUT /usr/share/texmf-dist/fonts/type1/public/lm/lmsy7.pfb diff --git a/langfassung/master.log b/langfassung/master.log index f9b7036..e66875b 100755..100644 --- a/langfassung/master.log +++ b/langfassung/master.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Arch Linux) (preloaded format=pdflatex 2018.2.1) 9 FEB 2018 12:42 +This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Arch Linux) (preloaded format=pdflatex 2018.2.1) 25 FEB 2018 16:17 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -1201,7 +1201,7 @@ LaTeX Font Info: Try loading font information for OT1+lmtt on input line 82. (/usr/share/texmf-dist/tex/latex/lm/ot1lmtt.fd File: ot1lmtt.fd 2009/10/30 v1.6 Font defs for Latin Modern ) -<figs/galaxy.png, id=187, 866.23625pt x 790.955pt> +<figs/galaxy.png, id=288, 866.23625pt x 790.955pt> File: figs/galaxy.png Graphic file (type png) <use figs/galaxy.png> Package pdftex.def Info: figs/galaxy.png used on input line 86. on input line 86. @@ -1221,7 +1221,21 @@ Package babel Info: Redefining ngerman shorthand "~ {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map} <./figs/galaxy.png>] (./master.toc LaTeX Font Info: External font `lmex10' loaded for size (Font) <5> on input line 3. -) +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 64. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 64. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 64. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 64. +pdfTeX warning (ext4): destination with the same identifier (name{page.1}) has been already used, duplicate ignored +<to be read again> + \relax +l.64 ...ter 1 time step}{20}{subsubsection.5.11.8} + [1 + +]) \tf@toc=\write5 \openout5 = `master.toc'. @@ -1233,13 +1247,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 104. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 104. -pdfTeX warning (ext4): destination with the same identifier (name{page.1}) has been already used, duplicate ignored -<to be read again> - \relax -l.104 \newpage - [1 - -] + [2] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 106. Package babel Info: Redefining ngerman shorthand "~ @@ -1263,18 +1271,18 @@ Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 38. ) Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 109. +(babel) in language append on input line 108. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 109. +(babel) in language append on input line 108. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 109. +(babel) in language append on input line 108. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 109. - [2] +(babel) in language append on input line 108. + [3] Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 111. +(babel) in language append on input line 110. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 111. +(babel) in language append on input line 110. (./docs/3_hauptteil.tex Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 1. @@ -1288,7 +1296,7 @@ File: figs/galaxy.png Graphic file (type png) <use figs/galaxy.png> Package pdftex.def Info: figs/galaxy.png used on input line 57. on input line 57. Package pdftex.def Info: Requested size: 341.43307pt x 311.75397pt on input line 57. -<figs/lookup_table_rho_r_function_grid.png, id=265, 683.55376pt x 444.66125pt> +<figs/lookup_table_rho_r_function_grid.png, id=395, 683.55376pt x 444.66125pt> File: figs/lookup_table_rho_r_function_grid.png Graphic file (type png) <use figs/lookup_table_rho_r_function_grid.png> Package pdftex.def Info: figs/lookup_table_rho_r_function_grid.png used on input line 64. on input line 64. @@ -1309,7 +1317,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 95. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 95. - [3] + [4] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 95. Package babel Info: Redefining ngerman shorthand "~ @@ -1318,7 +1326,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 95. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 95. - [4 <./figs/lookup_table_rho_r_function_grid.png>] + [5 <./figs/lookup_table_rho_r_function_grid.png>] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 96. Package babel Info: Redefining ngerman shorthand "~ @@ -1335,7 +1343,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 163. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 163. - [5] + [6] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 177. Package babel Info: Redefining ngerman shorthand "~ @@ -1360,7 +1368,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 236. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 236. - [6] + [7] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 258. Package babel Info: Redefining ngerman shorthand "~ @@ -1381,7 +1389,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 331. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 331. - [7] + [8] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 502. Package babel Info: Redefining ngerman shorthand "~ @@ -1394,7 +1402,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 511. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 511. - [8] + [9] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 517. Package babel Info: Redefining ngerman shorthand "~ @@ -1407,7 +1415,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 577. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 577. - [9] + [10] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 585. Package babel Info: Redefining ngerman shorthand "~ @@ -1420,25 +1428,25 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 628. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 628. -<figs/spiralgalaxy.png, id=355, 1927.2pt x 1084.05pt> +<figs/spiralgalaxy.png, id=485, 1927.2pt x 1084.05pt> File: figs/spiralgalaxy.png Graphic file (type png) <use figs/spiralgalaxy.png> Package pdftex.def Info: figs/spiralgalaxy.png used on input line 635. on input line 635. Package pdftex.def Info: Requested size: 341.43307pt x 192.0439pt on input line 635. ) Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 114. +(babel) in language append on input line 112. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 114. +(babel) in language append on input line 112. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 114. +(babel) in language append on input line 112. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 114. - [10] +(babel) in language append on input line 112. + [11] Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 116. +(babel) in language append on input line 114. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 116. +(babel) in language append on input line 114. (./docs/4_ergebnisse.tex Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 1. @@ -1454,41 +1462,41 @@ Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 32. ) Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 119. - [11 <./figs/spiralgalaxy.png>] +(babel) in language append on input line 116. + [12 <./figs/spiralgalaxy.png>] Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 119. +(babel) in language append on input line 116. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 119. - [12] +(babel) in language append on input line 116. + [13] Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 121. +(babel) in language append on input line 118. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 121. +(babel) in language append on input line 118. (./docs/5_quellen.tex) Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 124. +(babel) in language append on input line 120. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 124. +(babel) in language append on input line 120. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 124. +(babel) in language append on input line 120. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 124. - [13] +(babel) in language append on input line 120. + [14] Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 126. +(babel) in language append on input line 122. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 126. +(babel) in language append on input line 122. (./docs/6_abgabe.tex Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 62. @@ -1526,7 +1534,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 122. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 122. - [14] + [15] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 125. Package babel Info: Redefining ngerman shorthand "~ @@ -1555,12 +1563,12 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 185. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 185. - [15] + [16] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 190. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 190. -<figs/sphere_alignment_cc.jpg, id=401, 963.6pt x 507.39563pt> +<figs/sphere_alignment_cc.jpg, id=531, 963.6pt x 507.39563pt> File: figs/sphere_alignment_cc.jpg Graphic file (type jpg) <use figs/sphere_alignment_cc.jpg> Package pdftex.def Info: figs/sphere_alignment_cc.jpg used on input line 207. on input line 207. @@ -1581,7 +1589,7 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 231. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 231. - [16 <./figs/sphere_alignment_cc.jpg>] + [17 <./figs/sphere_alignment_cc.jpg>] Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 231. Package babel Info: Redefining ngerman shorthand "~ @@ -1590,39 +1598,327 @@ Package babel Info: Redefining ngerman shorthand "| (babel) in language append on input line 266. Package babel Info: Redefining ngerman shorthand "~ (babel) in language append on input line 266. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 275. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 275. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 288. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 288. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 288. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 288. + [18] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 290. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 290. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 294. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 294. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 303. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 303. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 313. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 313. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 322. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 322. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 334. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 334. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 344. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 344. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 354. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 354. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 356. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 356. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 356. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 356. + [19] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 366. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 366. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 378. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 378. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 382. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 382. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 394. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 394. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 403. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 403. +LaTeX Font Info: Try loading font information for OML+lmr on input line 410. + (/usr/share/texmf-dist/tex/latex/lm/omllmr.fd +File: omllmr.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: Font shape `OML/lmr/m/it' in size <10> not available +(Font) Font shape `OML/lmm/m/it' tried instead on input line 410. + +Overfull \hbox (12.76065pt too wide) in paragraph at lines 410--411 +[][][][][][][][][][][][][][][][][][][][][][][] + [] + +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 420. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 420. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 420. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 420. +[20] +Overfull \hbox (18.76071pt too wide) in paragraph at lines 420--421 +[][][][][][][][][][][][][][][][][][][][][][][][][][][] + [] + +LaTeX Font Info: Try loading font information for OMS+lmr on input line 426. +(/usr/share/texmf-dist/tex/latex/lm/omslmr.fd +File: omslmr.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: Font shape `OMS/lmr/m/n' in size <10> not available +(Font) Font shape `OMS/lmsy/m/n' tried instead on input line 426. +LaTeX Font Info: Font shape `OML/lmr/m/n' in size <10> not available +(Font) Font shape `OML/lmm/m/it' tried instead on input line 427. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 441. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 441. + +Overfull \hbox (18.76071pt too wide) in paragraph at lines 454--455 +[][][][][][][][][][][][][][][][][][][][][][][][][] + [] + + +Overfull \hbox (12.76065pt too wide) in paragraph at lines 459--460 +[][][][][][][][][][][][][][][][][][][][][][][][][] + [] + +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 469. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 469. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 480. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 480. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 480. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 480. +[21] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 484. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 484. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 512. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 512. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 542. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 542. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 542. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 542. + [22] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 574. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 574. + +Overfull \hbox (6.76059pt too wide) in paragraph at lines 602--603 +[][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][] + [] + +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 603. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 603. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 603. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 603. +[23] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 611. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 611. + +Overfull \hbox (12.76065pt too wide) in paragraph at lines 630--631 +[][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][] + [] + + +Overfull \hbox (18.76071pt too wide) in paragraph at lines 631--632 +[][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][][] + [] + +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 665. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 665. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 665. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 665. +[24] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 667. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 667. +LaTeX Font Info: Font shape `OMS/lmr/m/it' in size <10> not available +(Font) Font shape `OMS/lmsy/m/n' tried instead on input line 691. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 725. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 725. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 727. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 727. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 727. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 727. + [25] +Overfull \hbox (18.76071pt too wide) in paragraph at lines 749--750 +[][][][][][][][][][][][][][][][][][][][][][][][] + [] + + +Overfull \hbox (24.76077pt too wide) in paragraph at lines 756--757 +[][][][][][][][][][][][][][][][][][][][][][][][][][][][] + [] + +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 773. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 773. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 786. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 786. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 790. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 790. +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 790. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 790. +[26] +Package babel Info: Redefining ngerman shorthand "| +(babel) in language append on input line 805. +Package babel Info: Redefining ngerman shorthand "~ +(babel) in language append on input line 805. + + +./docs/6_abgabe.tex:810: Package pgf Error: No shape named z is known. + +See the pgf package documentation for explanation. +Type H <return> for immediate help. + ... + +l.810 \node[left=of z] + (i) {}; +This error message was generated by an \errmessage +command, so I can't give any explicit help. +Pretend that you're Hercule Poirot: Examine all clues, +and deduce the truth by order and method. + + +./docs/6_abgabe.tex:810: Package pgf Error: No shape named z is known. + +See the pgf package documentation for explanation. +Type H <return> for immediate help. + ... + +l.810 \node[left=of z] (i) {}; + +(That was another \errmessage.) + + +./docs/6_abgabe.tex:811: Package pgf Error: No shape named z is known. + +See the pgf package documentation for explanation. +Type H <return> for immediate help. + ... + +l.811 ... -- node[above] {$p_\theta(\vec{z})$} (z) + ; +(That was another \errmessage.) + + +./docs/6_abgabe.tex:811: Package pgf Error: No shape named z is known. + +See the pgf package documentation for explanation. +Type H <return> for immediate help. + ... + +l.811 ... -- node[above] {$p_\theta(\vec{z})$} (z) + ; +(That was another \errmessage.) + ) Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 130. +(babel) in language append on input line 125. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 130. +(babel) in language append on input line 125. Package babel Info: Redefining ngerman shorthand "| -(babel) in language append on input line 130. +(babel) in language append on input line 125. Package babel Info: Redefining ngerman shorthand "~ -(babel) in language append on input line 130. - [17] -Package atveryend Info: Empty hook `BeforeClearDocument' on input line 130. -Package atveryend Info: Empty hook `AfterLastShipout' on input line 130. +(babel) in language append on input line 125. + [27] +Package atveryend Info: Empty hook `BeforeClearDocument' on input line 125. +Package atveryend Info: Empty hook `AfterLastShipout' on input line 125. (./master.aux) -Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 130. -Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 130. +Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 125. +Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 125. Package rerunfilecheck Info: File `master.out' has not changed. -(rerunfilecheck) Checksum: B61FA051F86F22A18AF030789F5C3D0E;3677. -Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 130. +(rerunfilecheck) Checksum: DB8588AD2D77E7447A32FB30B6947FE9;6037. +Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 125. ) Here is how much of TeX's memory you used: - 23098 strings out of 492985 - 415144 string characters out of 6138639 - 599311 words of memory out of 5000000 - 26128 multiletter control sequences out of 15000+600000 - 43589 words of font info for 44 fonts, out of 8000000 for 9000 + 23726 strings out of 492985 + 424820 string characters out of 6138639 + 630284 words of memory out of 5000000 + 26342 multiletter control sequences out of 15000+600000 + 47807 words of font info for 45 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 - 64i,14n,71p,8886b,1179s stack positions out of 5000i,500n,10000p,200000b,80000s -{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rmtt.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rm.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathsy.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-ts1.enc}</usr/share/texmf-dist/fonts/type1/public/lm/lmbx10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmex10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi5.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr12.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr5.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr6.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr8.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmssbx10.pfb></usr/sha -re/texmf-dist/fonts/type1/public/lm/lmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmsy7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmtt10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmtt12.pfb> -Output written on master.pdf (18 pages, 878421 bytes). + 64i,14n,71p,8886b,1834s stack positions out of 5000i,500n,10000p,200000b,80000s +{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rm.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-rmtt.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathsy.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc}{/usr/share/texmf-dist/fonts/enc/dvips/lm/lm-ts1.enc}</usr/share/texmf-dist/fonts/type1/public/lm/lmbx10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmex10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi5.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmmi7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr12.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr5.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr6.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmr8.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmri10.pfb></usr/share +/texmf-dist/fonts/type1/public/lm/lmssbx10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmsy7.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmtt10.pfb></usr/share/texmf-dist/fonts/type1/public/lm/lmtt12.pfb> +Output written on master.pdf (28 pages, 952660 bytes). PDF statistics: - 499 PDF objects out of 1000 (max. 8388607) - 451 compressed objects within 5 object streams - 117 named destinations out of 1000 (max. 500000) - 399 words of extra memory for PDF output out of 10000 (max. 10000000) + 1130 PDF objects out of 1200 (max. 8388607) + 1065 compressed objects within 11 object streams + 524 named destinations out of 1000 (max. 500000) + 599 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/langfassung/master.out b/langfassung/master.out index 12deeab..21b162f 100755..100644 --- a/langfassung/master.out +++ b/langfassung/master.out @@ -26,7 +26,7 @@ \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.5.1}{Spiralgalaxies}{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 @@ -43,3 +43,28 @@ \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 +\BOOKMARK [2][-]{subsection.5.10}{Notes}{section.5}% 46 +\BOOKMARK [2][-]{subsection.5.11}{exec.py}{section.5}% 47 +\BOOKMARK [3][-]{subsubsection.5.11.1}{Importing the galaxytools}{subsection.5.11}% 48 +\BOOKMARK [3][-]{subsubsection.5.11.2}{Generate a new galaxy}{subsection.5.11}% 49 +\BOOKMARK [3][-]{subsubsection.5.11.3}{Generate new stars in the galaxy}{subsection.5.11}% 50 +\BOOKMARK [3][-]{subsubsection.5.11.4}{Print the coordinates of every star in the galaxy relative to the origin}{subsection.5.11}% 51 +\BOOKMARK [3][-]{subsubsection.5.11.5}{Calculate the forces acting inbetween all the stars in the galaxy}{subsection.5.11}% 52 +\BOOKMARK [3][-]{subsubsection.5.11.6}{Print the individual forces acting on the stars}{subsection.5.11}% 53 +\BOOKMARK [3][-]{subsubsection.5.11.7}{Generate the coordinates of the positions for the spheres}{subsection.5.11}% 54 +\BOOKMARK [3][-]{subsubsection.5.11.8}{Calculate the forces after 1 time step}{subsection.5.11}% 55 +\BOOKMARK [2][-]{subsection.5.12}{galaxytools.py}{section.5}% 56 +\BOOKMARK [3][-]{subsubsection.5.12.1}{Importing important libraries}{subsection.5.12}% 57 +\BOOKMARK [3][-]{subsubsection.5.12.2}{Generating the new\137galaxy class}{subsection.5.12}% 58 +\BOOKMARK [3][-]{subsubsection.5.12.3}{Initialisation}{subsection.5.12}% 59 +\BOOKMARK [3][-]{subsubsection.5.12.4}{Generating new stars}{subsection.5.12}% 60 +\BOOKMARK [3][-]{subsubsection.5.12.5}{Print out all the star coordinates}{subsection.5.12}% 61 +\BOOKMARK [3][-]{subsubsection.5.12.6}{Calculate the forces acting inbetween two stars}{subsection.5.12}% 62 +\BOOKMARK [3][-]{subsubsection.5.12.7}{Calculate all the forces acting in the galaxy}{subsection.5.12}% 63 +\BOOKMARK [3][-]{subsubsection.5.12.8}{Print the individual forces acting on one star}{subsection.5.12}% 64 +\BOOKMARK [3][-]{subsubsection.5.12.9}{Find out if a star is inside one sphere}{subsection.5.12}% 65 +\BOOKMARK [3][-]{subsubsection.5.12.10}{Find out which star in in which spheres}{subsection.5.12}% 66 +\BOOKMARK [3][-]{subsubsection.5.12.11}{Generate the sphere positions}{subsection.5.12}% 67 +\BOOKMARK [3][-]{subsubsection.5.12.12}{Calculate the forces acting inside the sphere}{subsection.5.12}% 68 +\BOOKMARK [3][-]{subsubsection.5.12.13}{calculate the forces acting in every sphere}{subsection.5.12}% 69 +\BOOKMARK [2][-]{subsection.5.13}{GAN}{section.5}% 70 diff --git a/langfassung/master.pdf b/langfassung/master.pdf index 350b08d..d17c7a6 100755..100644 --- a/langfassung/master.pdf +++ b/langfassung/master.pdf Binary files differdiff --git a/langfassung/master.synctex.gz b/langfassung/master.synctex.gz index 02b0ae0..19617b2 100644 --- a/langfassung/master.synctex.gz +++ b/langfassung/master.synctex.gz Binary files differdiff --git a/langfassung/master.tex b/langfassung/master.tex index 75e232f..7717ab0 100755 --- a/langfassung/master.tex +++ b/langfassung/master.tex @@ -31,7 +31,7 @@ % ??? \usepackage{textcomp} % \usepackage[onehalfspacing]{setspace} -% \linespread{0.95} +\linespread{1} % Tikz for designing graphics \usepackage{tikz} @@ -42,8 +42,8 @@ \lstset{ % frame=single, % adds a frame around the code language=Python, % the language of the code - numbers=left, % where to put the line-numbers; possible values are (none, left, right) - stepnumber=1, % the step between two line-numbers. If it's 1, each line will be numbered + % numbers=left, % where to put the line-numbers; possible values are (none, left, right) + % stepnumber=1, % the step between two line-numbers. If it's 1, each line will be numbered } % hyperref / hyperlink settings @@ -104,27 +104,22 @@ urlcolor=black \newpage \section{Einleitung} \label{Einleitung} -% \input{docs/2_einleitung} \include*{docs/2_einleitung} \newpage \section{Hauptteil} \label{Hauptteil} -% \input{docs/3_hauptteil} \include*{docs/3_hauptteil} \newpage \section{Ergebnisse} \label{ergebnisse} -% \input{docs/4_ergebnisse} \include*{docs/4_ergebnisse} \newpage \section{Quellen und Hilfen} \label{quellen} -% \input{docs/5_quellen} \include*{docs/5_quellen} \newpage \section{Nach der Abgabe...} \label{nach_der_abgabe} -% \input{docs/6_abgabe} \include*{docs/6_abgabe} \end{document} diff --git a/langfassung/master.toc b/langfassung/master.toc index 4a85a0f..cc8faf0 100755..100644 --- a/langfassung/master.toc +++ b/langfassung/master.toc @@ -1,54 +1,79 @@ \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 von 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 {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{5}{subsubsection.2.1.3} -\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{5}{subsection.2.2} -\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{5}{subsection.2.3} -\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{6}{subsection.2.4} -\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{6}{subsection.2.5} -\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{6}{subsubsection.2.5.1} -\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{7}{subsubsection.2.5.2} -\contentsline {paragraph}{\nonumberline Amazon Web Services}{7}{section*.5} -\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{7}{subsubsection.2.5.3} -\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{7}{subsection.2.6} -\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{7}{subsubsection.2.6.1} -\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{8}{section*.6} -\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{9}{subsection.2.7} -\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{9}{subsubsection.2.7.1} -\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{10}{subsubsection.2.7.2} -\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{10}{subsubsection.2.7.3} -\contentsline {paragraph}{\nonumberline Masse der Sterne}{10}{section*.7} -\contentsline {paragraph}{\nonumberline Abstand der Sterne}{10}{section*.8} -\contentsline {subsection}{\numberline {2.8}Weiteres}{10}{subsection.2.8} -\contentsline {section}{\numberline {3}Ergebnisse}{11}{section.3} -\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{11}{subsection.3.1} -\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{11}{subsection.3.2} -\contentsline {subsection}{\numberline {3.3}Fazit}{11}{subsection.3.3} -\contentsline {section}{\numberline {4}Quellen und Hilfen}{13}{section.4} -\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{13}{section*.11} -\contentsline {paragraph}{\nonumberline Tim Tugendhat}{13}{section*.12} -\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{13}{section*.13} -\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{13}{section*.14} -\contentsline {section}{\numberline {5}Nach der Abgabe...}{14}{section.5} -\contentsline {subsection}{\numberline {5.1}Spiralgalaxien}{14}{subsection.5.1} -\contentsline {subsection}{\numberline {5.2}Using Object Oriented Programming (OOP) techniques}{14}{subsection.5.2} -\contentsline {subsubsection}{\numberline {5.2.1}Initialisation}{14}{subsubsection.5.2.1} -\contentsline {subsection}{\numberline {5.3}Generation of new stars}{14}{subsection.5.3} -\contentsline {subsection}{\numberline {5.4}Printing all the coordinates}{14}{subsection.5.4} -\contentsline {subsection}{\numberline {5.5}Calculating the Forces acting between the Stars}{14}{subsection.5.5} -\contentsline {subsection}{\numberline {5.6}Calculating the forces acting between each star in the galaxy and each other star}{15}{subsection.5.6} -\contentsline {subsection}{\numberline {5.7}Printing all the individual forces}{15}{subsection.5.7} -\contentsline {subsection}{\numberline {5.8}Spherical cells}{15}{subsection.5.8} -\contentsline {subsubsection}{\numberline {5.8.1}Testing if a point is inside or outside a sphere}{15}{subsubsection.5.8.1} -\contentsline {subsubsection}{\numberline {5.8.2}Testing if a star is inside or outside of a sphere for a whole galaxy}{15}{subsubsection.5.8.2} -\contentsline {subsubsection}{\numberline {5.8.3}Generate the position of the spheres}{15}{subsubsection.5.8.3} -\contentsline {subsubsection}{\numberline {5.8.4}The radius of the spheres}{16}{subsubsection.5.8.4} -\contentsline {subsubsection}{\numberline {5.8.5}Calculate the forces acting on the spheres}{16}{subsubsection.5.8.5} -\contentsline {subsubsection}{\numberline {5.8.6}Calculate the forces acting on all the spheres together}{17}{subsubsection.5.8.6} -\contentsline {subsubsection}{\numberline {5.8.7}Benchmarks}{17}{subsubsection.5.8.7} -\contentsline {subsection}{\numberline {5.9}Calculate the Position of a Star after a timestep}{17}{subsection.5.9} +\contentsline {section}{\numberline {1}Einleitung}{3}{section.1} +\contentsline {subsection}{\numberline {1.1}Themen}{3}{subsection.1.1} +\contentsline {subsection}{\numberline {1.2}Motivation}{3}{subsection.1.2} +\contentsline {section}{\numberline {2}Hauptteil}{4}{section.2} +\contentsline {subsection}{\numberline {2.1}Generierung von elliptischen Galaxien}{4}{subsection.2.1} +\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{4}{subsubsection.2.1.1} +\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{4}{subsubsection.2.1.2} +\contentsline {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{6}{subsubsection.2.1.3} +\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{6}{subsection.2.2} +\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{6}{subsection.2.3} +\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{7}{subsection.2.4} +\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{7}{subsection.2.5} +\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{7}{subsubsection.2.5.1} +\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{8}{subsubsection.2.5.2} +\contentsline {paragraph}{\nonumberline Amazon Web Services}{8}{section*.5} +\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{8}{subsubsection.2.5.3} +\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{8}{subsection.2.6} +\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{8}{subsubsection.2.6.1} +\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{9}{section*.6} +\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{10}{subsection.2.7} +\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{10}{subsubsection.2.7.1} +\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{11}{subsubsection.2.7.2} +\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{11}{subsubsection.2.7.3} +\contentsline {paragraph}{\nonumberline Masse der Sterne}{11}{section*.7} +\contentsline {paragraph}{\nonumberline Abstand der Sterne}{11}{section*.8} +\contentsline {subsection}{\numberline {2.8}Weiteres}{11}{subsection.2.8} +\contentsline {section}{\numberline {3}Ergebnisse}{12}{section.3} +\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{12}{subsection.3.1} +\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{12}{subsection.3.2} +\contentsline {subsection}{\numberline {3.3}Fazit}{12}{subsection.3.3} +\contentsline {section}{\numberline {4}Quellen und Hilfen}{14}{section.4} +\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{14}{section*.11} +\contentsline {paragraph}{\nonumberline Tim Tugendhat}{14}{section*.12} +\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{14}{section*.13} +\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{14}{section*.14} +\contentsline {section}{\numberline {5}Nach der Abgabe...}{15}{section.5} +\contentsline {subsection}{\numberline {5.1}Spiralgalaxies}{15}{subsection.5.1} +\contentsline {subsection}{\numberline {5.2}Using Object Oriented Programming (OOP) techniques}{15}{subsection.5.2} +\contentsline {subsubsection}{\numberline {5.2.1}Initialisation}{15}{subsubsection.5.2.1} +\contentsline {subsection}{\numberline {5.3}Generation of new stars}{15}{subsection.5.3} +\contentsline {subsection}{\numberline {5.4}Printing all the coordinates}{15}{subsection.5.4} +\contentsline {subsection}{\numberline {5.5}Calculating the Forces acting between the Stars}{15}{subsection.5.5} +\contentsline {subsection}{\numberline {5.6}Calculating the forces acting between each star in the galaxy and each other star}{16}{subsection.5.6} +\contentsline {subsection}{\numberline {5.7}Printing all the individual forces}{16}{subsection.5.7} +\contentsline {subsection}{\numberline {5.8}Spherical cells}{16}{subsection.5.8} +\contentsline {subsubsection}{\numberline {5.8.1}Testing if a point is inside or outside a sphere}{16}{subsubsection.5.8.1} +\contentsline {subsubsection}{\numberline {5.8.2}Testing if a star is inside or outside of a sphere for a whole galaxy}{16}{subsubsection.5.8.2} +\contentsline {subsubsection}{\numberline {5.8.3}Generate the position of the spheres}{16}{subsubsection.5.8.3} +\contentsline {subsubsection}{\numberline {5.8.4}The radius of the spheres}{17}{subsubsection.5.8.4} +\contentsline {subsubsection}{\numberline {5.8.5}Calculate the forces acting on the spheres}{17}{subsubsection.5.8.5} +\contentsline {subsubsection}{\numberline {5.8.6}Calculate the forces acting on all the spheres together}{18}{subsubsection.5.8.6} +\contentsline {subsubsection}{\numberline {5.8.7}Benchmarks}{18}{subsubsection.5.8.7} +\contentsline {subsection}{\numberline {5.9}Calculate the Position of a Star after a timestep}{18}{subsection.5.9} +\contentsline {subsection}{\numberline {5.10}Notes}{18}{subsection.5.10} +\contentsline {subsection}{\numberline {5.11}exec.py}{19}{subsection.5.11} +\contentsline {subsubsection}{\numberline {5.11.1}Importing the galaxytools}{19}{subsubsection.5.11.1} +\contentsline {subsubsection}{\numberline {5.11.2}Generate a new galaxy}{19}{subsubsection.5.11.2} +\contentsline {subsubsection}{\numberline {5.11.3}Generate new stars in the galaxy}{19}{subsubsection.5.11.3} +\contentsline {subsubsection}{\numberline {5.11.4}Print the coordinates of every star in the galaxy relative to the origin}{19}{subsubsection.5.11.4} +\contentsline {subsubsection}{\numberline {5.11.5}Calculate the forces acting inbetween all the stars in the galaxy}{19}{subsubsection.5.11.5} +\contentsline {subsubsection}{\numberline {5.11.6}Print the individual forces acting on the stars}{19}{subsubsection.5.11.6} +\contentsline {subsubsection}{\numberline {5.11.7}Generate the coordinates of the positions for the spheres}{20}{subsubsection.5.11.7} +\contentsline {subsubsection}{\numberline {5.11.8}Calculate the forces after 1 time step}{20}{subsubsection.5.11.8} +\contentsline {subsection}{\numberline {5.12}galaxytools.py}{20}{subsection.5.12} +\contentsline {subsubsection}{\numberline {5.12.1}Importing important libraries}{20}{subsubsection.5.12.1} +\contentsline {subsubsection}{\numberline {5.12.2}Generating the new\_galaxy class}{20}{subsubsection.5.12.2} +\contentsline {subsubsection}{\numberline {5.12.3}Initialisation}{20}{subsubsection.5.12.3} +\contentsline {subsubsection}{\numberline {5.12.4}Generating new stars}{21}{subsubsection.5.12.4} +\contentsline {subsubsection}{\numberline {5.12.5}Print out all the star coordinates}{21}{subsubsection.5.12.5} +\contentsline {subsubsection}{\numberline {5.12.6}Calculate the forces acting inbetween two stars}{22}{subsubsection.5.12.6} +\contentsline {subsubsection}{\numberline {5.12.7}Calculate all the forces acting in the galaxy}{22}{subsubsection.5.12.7} +\contentsline {subsubsection}{\numberline {5.12.8}Print the individual forces acting on one star}{23}{subsubsection.5.12.8} +\contentsline {subsubsection}{\numberline {5.12.9}Find out if a star is inside one sphere}{24}{subsubsection.5.12.9} +\contentsline {subsubsection}{\numberline {5.12.10}Find out which star in in which spheres}{25}{subsubsection.5.12.10} +\contentsline {subsubsection}{\numberline {5.12.11}Generate the sphere positions}{26}{subsubsection.5.12.11} +\contentsline {subsubsection}{\numberline {5.12.12}Calculate the forces acting inside the sphere}{26}{subsubsection.5.12.12} +\contentsline {subsubsection}{\numberline {5.12.13}calculate the forces acting in every sphere}{26}{subsubsection.5.12.13} +\contentsline {subsection}{\numberline {5.13}GAN}{27}{subsection.5.13} |
