about summary refs log tree commit diff
path: root/langfassung/master.tex
blob: b248c7eff1f06ce60f006c577c387712cf13843d (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
\documentclass[a4paper,12pt]{scrartcl}
\usepackage[top=1cm, bottom=2.5cm, left=1cm, right=1cm]{geometry}
\usepackage[utf8]{inputenc}
\usepackage[english,ngerman]{babel}
\usepackage{amsmath}
\usepackage{tabularx}
\usepackage[hidelinks]{hyperref}

\usepackage{graphicx}
\usepackage{caption}
\usepackage{lmodern}
\usepackage{textcomp}

\usepackage{tikz}
\usepackage{listings}

\usepackage{hyperref}
\hypersetup{
colorlinks,
citecolor=black,
filecolor=black,
linkcolor=black,
urlcolor=black
}

\newcommand{\bold}{\textbf}
\renewcommand{\arraystretch}{1.5}
\newcommand{ \rarrow }{\( \rightarrow \)}

\setlength\parindent{0pt}
\setlength\parskip{10pt}
\setlength{\footskip}{30pt}
\setcounter{tocdepth}{3}

%%% MAIN DOCUMENT BEGINS HERE %%%

\begin{document}

\title{Galaxy Stuff}
\subtitle{Jugend Forscht \the\year}
\author{ Emile Hansmaennel \texttt{ emile.hansmaennel@gmail.com }}
\date{\today}

\maketitle

\input{docs/1_kurzfassung}

\thispagestyle{empty}
\clearpage
\newpage
\setcounter{page}{1}

\tableofcontents
\newpage

\section{Einleitung} \label{Einleitung}
\input{docs/2_einleitung}
\newpage

\section{Hauptteil} \label{Hauptteil}
\subsection{Notes}

\subsubsection{Todo}

\begin{itemize}
  \item Find a better way to kick out stars using a more efficient method
  \item Find a way to generate a spiral with a curvature y of the arms
  \item Compare the generated galaxies with real galaxies to find out if they
  are legit
  \item Generate the dark-matter, link the galaxies to the dark matter and watch
  how the dark matter affects the galaxy while deforming the dark matter.
\end{itemize}

\subsubsection{Generally building a galaxy}

\begin{enumerate}
  \item Generate the galaxy-data using the NFW-Profile or the Einasto-profile
  \item Display the data in Blender and create an image using the OpenGL-renderer
  \item Train a Neural Network (NN) to classify galaxies
  \item Let the NN modify the galaxy to generate a perfect galaxy
\end{enumerate}

\subsubsection{Spiral Galaxy}

\begin{itemize}
  \item Generate the coordinates independently from each other:

  \item Generate the spiral on the x/y plane:
  \begin{itemize}
    \item x / y: generate a spiral using the Polar coordinate system
    \item z: generate the according z-value inddependently using the pythargoras
    theorem to calculate the distance of a possible star from the center of the
    galaxy, then continue by using the generated value inside of the NFW-profile
    to find out if the star should be generated or not
  \end{itemize}
  \item Use the function to adapt the arms to real conditions
\end{itemize}

\subsubsection{Important aspects of spiral galaxies}

\begin{itemize}
  \item Thickness of the galaxy at the bulge in the middle
  \item Radius
  \begin{itemize}
    \item of the entire galaxy
    \item of the bulge in the middle
  \end{itemize}
  \item Number of arms
  \item Density
  \begin{itemize}
    \item of the spiral arms
    \item of the bulge in the middle
  \end{itemize}
\end{itemize}

\subsubsection{Speed}

\begin{itemize}
  \item Manipulat the NFW-Profile (don't kick out so many stars!)
  \item lookup-table for the random numbers
  \item Amazon-Web-Services (AWS)?
  \item PyPy
  \item generally try to generate less galaxies further away ftom the center
  so kicking out as many stars doesn't become problematic anymore.
  (start with a linear function above the NFW-profile and kick out the remaining
  stars to enhance the profile)
\end{itemize}


\input{docs/3_hauptteil}
\newpage

\section{Ergebnisse} \label{ergebnisse}
\input{docs/4_ergebnisse}
\newpage

\section{Quellen und Hilfen} \label{quellen}
\input{docs/5_quellen}

\end{document}