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authorhanemile <emile.hansmaennel@gmail.com>2017-12-03 13:30:43 +0100
committerhanemile <emile.hansmaennel@gmail.com>2017-12-03 13:30:43 +0100
commitb031dc7d5e97d209d2e461b958e44e7aa6e7e855 (patch)
tree4b173d40e1d59c86827ab32f02d224c6eb5f8ab0 /langfassung
parentcc5da556b93f5105faa7243cd0b3b509c9ac98e3 (diff)
added a folder for storing the so called langfassung
Diffstat (limited to 'langfassung')
-rw-r--r--langfassung/docs/1_kurzfassung.tex1
-rw-r--r--langfassung/docs/2_einleitung.tex19
-rw-r--r--langfassung/docs/3_hauptteil.tex65
-rw-r--r--langfassung/docs/4_ergebnisse.tex27
-rw-r--r--langfassung/docs/5_quellen.tex24
-rw-r--r--langfassung/figs/Jugend_forscht.jpgbin0 -> 107107 bytes
-rw-r--r--langfassung/master.aux57
-rw-r--r--langfassung/master.fdb_latexmk184
-rw-r--r--langfassung/master.fls295
-rw-r--r--langfassung/master.log1382
-rw-r--r--langfassung/master.out23
-rw-r--r--langfassung/master.pdfbin0 -> 189951 bytes
-rw-r--r--langfassung/master.synctex.gzbin0 -> 38015 bytes
-rw-r--r--langfassung/master.tex139
-rw-r--r--langfassung/master.toc27
-rw-r--r--langfassung/references/dissSchwarzmeier.pdfbin0 -> 8834090 bytes
-rw-r--r--langfassung/references/master(2).pdfbin0 -> 133969 bytes
17 files changed, 2243 insertions, 0 deletions
diff --git a/langfassung/docs/1_kurzfassung.tex b/langfassung/docs/1_kurzfassung.tex
new file mode 100644
index 0000000..b4aee7d
--- /dev/null
+++ b/langfassung/docs/1_kurzfassung.tex
@@ -0,0 +1 @@
+Kurzfassung
diff --git a/langfassung/docs/2_einleitung.tex b/langfassung/docs/2_einleitung.tex
new file mode 100644
index 0000000..806c214
--- /dev/null
+++ b/langfassung/docs/2_einleitung.tex
@@ -0,0 +1,19 @@
+Einleitung
+
+\subsection{Themen}
+
+\begin{itemize}
+  \item Heidelberg bla
+  \item Galaxy Foo bla
+  \item Stauchen / Strecken bla
+  \item Problem: Geschwindigkeit bla
+  \item Benchmarks:
+  \begin{itemize}
+    \item 10000 Sterne - 1 Stern
+    \item ...
+  \end{itemize}
+\end{itemize}
+
+\subsection{Motivation}
+
+Motivations blah
diff --git a/langfassung/docs/3_hauptteil.tex b/langfassung/docs/3_hauptteil.tex
new file mode 100644
index 0000000..eab3897
--- /dev/null
+++ b/langfassung/docs/3_hauptteil.tex
@@ -0,0 +1,65 @@
+\subsection{Navarro–Frenk–White profile}
+
+Das Navarro-Frenk-White profil (NFW-profil) ist im grunde genommen eine Funktion
+die einem die Warscheinlichkeit das ein Stern an einer bestimmten position ist
+liefert.
+Die Funktion ist im allgemeinen wie folgt aufgebaut:
+
+\begin{equation}
+  \rho = \frac{ 1 }{ \sqrt{ 2 \pi } \cdot \sigma } \cdot
+  \exp \left( \frac{ -\phi(r) }{ \sigma^{ 2 } } \right)
+\end{equation}
+
+\begin{equation}
+  \phi_{NFW}(r) = \frac{ 4\pi \cdot G \cdot f_{0} \cdot R_{s}^3 }{ r } \cdot
+  ln{ \left( 1 + \frac{ r }{ R_{s} } \right) }
+\end{equation}
+
+Sieht kompliziert aus, ist es aber nicht: Um zu gucken ob ein zufälliger Stern
+bei \( x_1 \), \( y_1 \) und \( z_1 \) generiert werden kann wird wie folgt
+vorgegangen: Aus den Koordinaten wird der Wert \( r \) mithilfe des Satz des
+Phtargoras berechnet, dieser gibt
+an wie weit der jeweilige Stern vom Zentrum der Galaxie entfernt ist. Um zu
+prüfen ob der Stern generiert wird, wird dieser \( r \)-wert in die Funktion
+\( \phi \) eingesetzt. Der entstehende Wert gibt an wie warscheinlich es ist,
+das ein Stern in der Entfernung zum Ursprung generiert wird.
+\par
+Um herrauszufinden ob der Stern generiert wird, wird ein weiterer zufälliger
+Wert \( x \) im bereich \( [\phi_{max}; \phi_{min}] \) generiert. Liegt dieser
+Wert über dem Wert aus der Funktion \( \phi \) wird kein Stern generiert.
+Liegt dieser Stern jedoch unter dem wert aus der \( \phi \) funktion wird
+ein Stern an den Koordinaten \( x_1 \), \( y_1 \) und \( z_1 \) generiert.
+
+\subsection{Einasto profile}
+
+\begin{equation}
+  \gamma(r) = \frac{ d \ln(\rho(r)) }{ d \ln(\rho) } \propto r^{\alpha}
+\end{equation}
+
+\subsection{Blender + Python}
+
+Blender is Awesome, Python is Awesome and together they are
+\bold{SUPER AWESOME!!!}
+
+\subsection{Making things faster}
+
+Kicking out to many Stars, 1 out of 10000 is just to much...
+
+\subsection{Spiral Galaxies}
+
+The previous Galaxy models where all using a completely spherical model, generating
+a spiral galaxy is just not possible using these models.
+
+\subsubsection{N-Körper problem}
+
+Kurze Beschreibung des N-Körper Problems
+
+\subsubsection{Hilbert Spiral}
+
+Beschreibung der Hilbert Spirale
+
+\subsection{Größeneinheiten}
+
+\begin{equation}
+  3.086 \cdot 10^{36} m
+\end{equation}
diff --git a/langfassung/docs/4_ergebnisse.tex b/langfassung/docs/4_ergebnisse.tex
new file mode 100644
index 0000000..abd806d
--- /dev/null
+++ b/langfassung/docs/4_ergebnisse.tex
@@ -0,0 +1,27 @@
+Ergebnisse
+
+\subsection{Simulation Speed}
+
+Nach mergen des speed-branches sind folgende Ergebnisse zusammengekommen:
+
+\begin{tabular}{l | l | l}
+
+Sterne  & Zeit Vorher   & Zeit Nachher \\ \hline\hline
+1e5     & 2.93 sek.     & k.A. \\
+1e6     & 29.38 sek.    & k.A. \\
+1e7     & 315.67 sek.   & k.A. \\
+1e9     & 9h            & k.A. \\
+
+\end{tabular}
+
+Aus 1e9 Sternen werden vorher letztendlich 45000 Sterne generiert.
+
+Pro MegaByte können die Koordinaten von 10000 Sternen gespeichert werden.
+
+\subsection{Spiral Galaxies}
+
+Die generierung von Spiralgalaxien gestaltet sich schweiriger als erwartet.
+
+\subsection{Distortion of Galaxies}
+
+Galaxien verformen dinge
diff --git a/langfassung/docs/5_quellen.tex b/langfassung/docs/5_quellen.tex
new file mode 100644
index 0000000..17bb702
--- /dev/null
+++ b/langfassung/docs/5_quellen.tex
@@ -0,0 +1,24 @@
+Quellen
+
+\begin{center}
+ \textbf{
+  Das Python-Programm sowie die Blender Darstellungen wurden vollständig ohne fremde Hilfe selber erstellt.
+ }
+\end{center}
+\par Einen Großteil der Formeln fand ich durch eine Wikipedia Recherche, jedoch wurden auch Informationen aus dem 'SPACETRACK REPORT' von Felix R. Hoots und Ronald L. Roerich,
+No. 3 (Dec. 1980) entnommen.
+\par Das Programieren in der Programiersprache Python habe ich wärend des Projektes mithilfe der Python-Documentation gelernt. Mit dem Umgang des 3D-Programms Blender
+bin ich schon vertraut gewesen. Die Grundlagen für \LaTeX, in dem diese Langfassung geschrieben wurde, erlernte ich durch das Studieren diverser Beiträge in Foren und der Einsicht
+in das Jugend Forscht Projekt von Konstantin Bosbach, Tilman Hoffbauer und Steffen Ritsche aus dem vorherigem Jahr (2016, Underwater Accoustic Communication).
+\par Da es das erste Mal war, dass ich Python mit Blender kombiniert habe, musste ich mich in diesen Bereich ebenfalls einarbeiten.
+Dabei war die Blender API Documentation (www.blender.org/api) von großer Hilfe.
+
+
+\raggedleft
+\section*{Dank gilt...}
+\paragraph{Herrn Jörg Thar} meinem Betreuer
+\paragraph{Konstantin Bosbach} welcher mir eine Möglichkeit gab für 2 Wochen in Heidelberg zu wohnen.
+\paragraph{Tilman Hoffbauer}
+
+\centering
+\vspace{0.5cm} \textbf{Außerdem gilt mein Dank allen, die mich auf jede nur erdenkliche Weise unterstützt haben.}
diff --git a/langfassung/figs/Jugend_forscht.jpg b/langfassung/figs/Jugend_forscht.jpg
new file mode 100644
index 0000000..6d23e96
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+++ b/langfassung/figs/Jugend_forscht.jpg
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+\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Spiral Galaxy}{3}{subsubsection.2.1.3}}
+\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.4}Important aspects of spiral galaxies}{3}{subsubsection.2.1.4}}
+\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.5}Speed}{4}{subsubsection.2.1.5}}
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+\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Blender + Python}{4}{subsection.2.4}}
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+\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}N-K\IeC {\"o}rper problem}{5}{subsubsection.2.6.1}}
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+\@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Gr\IeC {\"o}\IeC {\ss }eneinheiten}{5}{subsection.2.7}}
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+   defining Unicode char U+2012 (decimal 8210)
+   defining Unicode char U+2013 (decimal 8211)
+   defining Unicode char U+2014 (decimal 8212)
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+\BOOKMARK [2][-]{subsection.2.7}{Gr\366\337eneinheiten}{section.2}% 18
+\BOOKMARK [1][-]{section.3}{Ergebnisse}{}% 19
+\BOOKMARK [2][-]{subsection.3.1}{Simulation Speed}{section.3}% 20
+\BOOKMARK [2][-]{subsection.3.2}{Spiral Galaxies}{section.3}% 21
+\BOOKMARK [2][-]{subsection.3.3}{Distortion of Galaxies}{section.3}% 22
+\BOOKMARK [1][-]{section.4}{Quellen und Hilfen}{}% 23
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+\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{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}
diff --git a/langfassung/master.toc b/langfassung/master.toc
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+\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}Notes}{3}{subsection.2.1}
+\contentsline {subsubsection}{\numberline {2.1.1}Todo}{3}{subsubsection.2.1.1}
+\contentsline {subsubsection}{\numberline {2.1.2}Generally building a galaxy}{3}{subsubsection.2.1.2}
+\contentsline {subsubsection}{\numberline {2.1.3}Spiral Galaxy}{3}{subsubsection.2.1.3}
+\contentsline {subsubsection}{\numberline {2.1.4}Important aspects of spiral galaxies}{3}{subsubsection.2.1.4}
+\contentsline {subsubsection}{\numberline {2.1.5}Speed}{4}{subsubsection.2.1.5}
+\contentsline {subsection}{\numberline {2.2}Navarro\IeC {\textendash }Frenk\IeC {\textendash }White profile}{4}{subsection.2.2}
+\contentsline {subsection}{\numberline {2.3}Einasto profile}{4}{subsection.2.3}
+\contentsline {subsection}{\numberline {2.4}Blender + Python}{4}{subsection.2.4}
+\contentsline {subsection}{\numberline {2.5}Making things faster}{5}{subsection.2.5}
+\contentsline {subsection}{\numberline {2.6}Spiral Galaxies}{5}{subsection.2.6}
+\contentsline {subsubsection}{\numberline {2.6.1}N-K\IeC {\"o}rper problem}{5}{subsubsection.2.6.1}
+\contentsline {subsubsection}{\numberline {2.6.2}Hilbert Spiral}{5}{subsubsection.2.6.2}
+\contentsline {subsection}{\numberline {2.7}Gr\IeC {\"o}\IeC {\ss }eneinheiten}{5}{subsection.2.7}
+\contentsline {section}{\numberline {3}Ergebnisse}{6}{section.3}
+\contentsline {subsection}{\numberline {3.1}Simulation Speed}{6}{subsection.3.1}
+\contentsline {subsection}{\numberline {3.2}Spiral Galaxies}{6}{subsection.3.2}
+\contentsline {subsection}{\numberline {3.3}Distortion of Galaxies}{6}{subsection.3.3}
+\contentsline {section}{\numberline {4}Quellen und Hilfen}{7}{section.4}
+\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{7}{section*.3}
+\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{7}{section*.4}
+\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{7}{section*.5}
diff --git a/langfassung/references/dissSchwarzmeier.pdf b/langfassung/references/dissSchwarzmeier.pdf
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