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Diffstat (limited to 'pres')
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diff --git a/pres/680000.blend b/pres/680000.blend new file mode 100644 index 0000000..05f1ed7 --- /dev/null +++ b/pres/680000.blend Binary files differdiff --git a/pres/cells.S_ALL.blend b/pres/cells.S_ALL.blend new file mode 100644 index 0000000..8162ead --- /dev/null +++ b/pres/cells.S_ALL.blend Binary files differdiff --git a/pres/cells.S_ALL.blend1 b/pres/cells.S_ALL.blend1 new file mode 100644 index 0000000..9b9ff15 --- /dev/null +++ b/pres/cells.S_ALL.blend1 Binary files differdiff --git a/pres/flammkuchenblech.blend b/pres/flammkuchenblech.blend new file mode 100644 index 0000000..62260a9 --- /dev/null +++ b/pres/flammkuchenblech.blend Binary files differdiff --git a/pres/plakat/docs/abstract.tex b/pres/plakat/docs/abstract.tex new file mode 100644 index 0000000..78e8ee1 --- /dev/null +++ b/pres/plakat/docs/abstract.tex @@ -0,0 +1,32 @@ +\begin{abstract} + + Das Ziel meines Projektes war es, Galaxien drei-dimensional zu + visualisieren. + Dazu verwendete ich das sogenannte ''Navarro-Frenk-White''' Profil als + Dichtefunktion in Kombination mit der Random-Sampling Methode zum Generieren + von Koordinaten. + \par + Die Generierung der Koordinaten hat jedoch ein Problem: Es ist extrem + rechenaufwendig. Um dieses Problem zu lösen, habe ich mehrere Methoden zur + Optimierung angewendet, darunter die Nutzung von Lookup-Tabellen und die + Verwendung von mehreren Computer-Rechenkernen. + \par + Im Verlauf des Projektes habe ich viel Neues dazugelernt, darunter die + Handhabung mit großen Datenmengen und die Organisation eines größeren Projektes, + jedoch auch mit vielen tiefer gehenden Funktionen und Bibliotheken + in der Programmiersprache Python umzugehen. + +\end{abstract} + + +\vspace{0.5cm} +\setlength{\fboxsep}{10pt} +\fbox{ + \parbox{0.95\linewidth}{ + An das Praktikum im Astronomischen Recheninstitut in Heidelberg gelangte + ich, indem ich mein Jugend Forscht Projekt aus dem letztem Jahr (Satellite + Computation), auf der Social-Media Plattform Reddit hochgeladen habe, wonach + mich der Doktorand Tim Tugendhat anschrieb, ob ich Interesse an einem + Praktikum hätte, das ich im Sommer 2017 absolviert habe. + } +} diff --git a/pres/plakat/docs/bigo.tex b/pres/plakat/docs/bigo.tex new file mode 100644 index 0000000..bf02951 --- /dev/null +++ b/pres/plakat/docs/bigo.tex @@ -0,0 +1,16 @@ +\section*{Rechenaufwand (n-Körper Problem)} + +\begin{equation} + O(n) = n^2 \quad \Rightarrow \quad O(n) = n \cdot log(n) +\end{equation} + +Um die Kräfte die zwischen allen Sternen in einer Galaxie wirken zu berechnen +werden \( n^2 \) Rechenschritte benötigt (\( n \) entspricht der Anzahl der) +Sterne. + +\vspace{-0.25cm} +\begin{center} +\includegraphics[width=0.8\linewidth]{figs/bigo_large} +\caption{Orange \( n^2 \), Blau \( n \log(n) \)} +\label{fig:bigo} +\end{center}\vspace{-1.25cm} diff --git a/pres/plakat/docs/danksagung.tex b/pres/plakat/docs/danksagung.tex new file mode 100644 index 0000000..02c7da8 --- /dev/null +++ b/pres/plakat/docs/danksagung.tex @@ -0,0 +1,15 @@ +\section*{Danksagungen} + +Hier möchte ich mich bei \( \dots \) +\begin{itemize} + \item[\( \dots \)] Tim Tugendhat + \item[\( \dots \)] Konstantin Bosbach + \item[\( \dots \)] Jörg Thar + \item[\( \dots \)] Martin Dessauer +\end{itemize} +bedanken, denn ohne sie wäre die Durchführung des Projektes nicht möglich +gewesen. + +% Tim Tugendhat und Konstantin Bosbach bedanken ohne die +% das Praktikum in Heidelberg nicht möglich gewesen wäre, welches mir den einstieg +% in das Thema erst ermöglicht hat. diff --git a/pres/plakat/docs/ergebnisse.tex b/pres/plakat/docs/ergebnisse.tex new file mode 100644 index 0000000..804079e --- /dev/null +++ b/pres/plakat/docs/ergebnisse.tex @@ -0,0 +1,7 @@ +\section*{Ergebnisse} + +\begin{center}\vspace{0.5cm} +\includegraphics[width=0.8\linewidth]{figs/galaxy_flammkuchenblech} +\caption{ Diese generierte Galaxie bestehend aus \( 680.000 \) Sternen} +\label{fig:galaxy_flammkuchenblech} +\end{center}\vspace{-1cm} diff --git a/pres/plakat/docs/gan.tex b/pres/plakat/docs/gan.tex new file mode 100644 index 0000000..b406fbb --- /dev/null +++ b/pres/plakat/docs/gan.tex @@ -0,0 +1,7 @@ +\section*{Generative Adversarial Neural Networks} + +\begin{center}\vspace{0.5cm} +\includegraphics[width=1\linewidth]{figs/galaxy_gan.png} +\caption{Aufbau eines GAN Netzwerkes zum Generieren von Galaxien} +\label{fig:galaxy_gan} +\end{center}\vspace{-1cm} diff --git a/pres/plakat/docs/hauptziele.tex b/pres/plakat/docs/hauptziele.tex new file mode 100644 index 0000000..b37310e --- /dev/null +++ b/pres/plakat/docs/hauptziele.tex @@ -0,0 +1,17 @@ +\section*{Hauptziele} + +\begin{enumerate} +\item Generieren von elliptischen Galaxien mithilfe des Narvarro-Frenk-White-Profils in Verbindung mit der Random-Sampling Methode + +\item Verbesserung des Generierungsprozesses mithilfe verschiedener Methoden +\begin{itemize} + \item Lookup-Tabellen + \item Unterteilung der Galaxie in verschiedene Zellen + \item Effizientere Speichernutzung +\end{itemize} + +\item Generierung von Dunkle-Materie-Halos und Spiralgalaxien + +\item Nutzung von konkurrierenden neuronalen Netzen zum unbeaufsichtigten +Generieren von Galaxien und deren Anpassung an ''echte`` Galaxien. +\end{enumerate} diff --git a/pres/plakat/docs/lookup.tex b/pres/plakat/docs/lookup.tex new file mode 100644 index 0000000..da37fe1 --- /dev/null +++ b/pres/plakat/docs/lookup.tex @@ -0,0 +1,33 @@ +\section*{Lookup Tabellen} + +Um den Rechenaufwand der beim Berechnen eines Wertes aus dem NFW-Profil +entsteht zu mindern, wird die Funktion \( \rho(r)\) im Vorhinein +berechnet und zum Weiterverwenden gespeichert: + +\lstset{ + frame=single, + % numbers=left, + title=2e8.csv \qquad (\( \sim \) 500 MB) +} + +\begin{lstlisting} +0, 1477.1586582000994 +1, 1477.0588424006478 +2, 1476.9590343243835 +3, 1476.8592346184294 +4, 1476.7594429495975 +... +19999995, 0.0028544345590963767 +19999996, 0.0028544345175450904 +19999997, 0.0028544344759938085 +19999998, 0.002854434434442531 +19999999, 0.002854434392891257 +\end{lstlisting} + +Möchte man zu einem Wert \( r \) aus der Funktion die Wahrscheinlichkeit +\( \rho(r) \) erhalten, muss man nur noch aus der Tabelle ablesen. +\par +Hier entsteht jedoch ein Problem: Alle Prozesse müssen aus dieser Tabelle die +Werte auslesen, weshalb sie für jeden Prozess einmal in den Arbeitsspeicher +geladen werden müssen. Dies lässt sich jedoch durch effizientes Parallelisieren +umgehen. diff --git a/pres/plakat/docs/methoden.tex b/pres/plakat/docs/methoden.tex new file mode 100644 index 0000000..de5af64 --- /dev/null +++ b/pres/plakat/docs/methoden.tex @@ -0,0 +1,9 @@ +\section*{Methoden} + +\begin{itemize} + \item Random Sampling des NFW-Profils + \item Generierung von Lookup-Tabellen + \item Code Vectorization + \item Parallelization + \item Kräfteberechnung mithilfe der universellen Gravitationsformel +\end{itemize} diff --git a/pres/plakat/docs/nutzen.tex b/pres/plakat/docs/nutzen.tex new file mode 100644 index 0000000..e050fde --- /dev/null +++ b/pres/plakat/docs/nutzen.tex @@ -0,0 +1,11 @@ +\section*{Nutzen} + +\begin{itemize} + \item Visualisierung zur Verbesserung der Vorstellung von Galaxien + + \item Möglichkeit, sich eine Galaxie aus allen Perspektiven + anzusehen + + \item Modell einer Galaxie, welches genutzt werden kann, um Vorhersagen + für die echte Galaxie zu treffen +\end{itemize} diff --git a/pres/plakat/docs/random_sampling_nfw.tex b/pres/plakat/docs/random_sampling_nfw.tex new file mode 100644 index 0000000..d276540 --- /dev/null +++ b/pres/plakat/docs/random_sampling_nfw.tex @@ -0,0 +1,28 @@ +\section*{Random-Sampling des NFW Profils} + +Beim Random-Sampling wird eine zufällige Koordinate generiert und dessen +Abstand zum Mittelpunkt der Galaxie \( r \) berechnet. +Diesen Wert \( r \) setzt man in das NFW-Profil ein, um eine Wahrscheinlichkeit +\( \phi = \rho(r) \) zu berechnen, mit der der Stern generiert wird. +Es wird ein zufälliger Wert \( s \) im Intervall \( [\rho_{min};~\rho_{max}] \) +generiert. +Gilt \( s < r \), dann werden die Koordinaten des Sterns beibehalten, +ansonsten werden neue Koordinaten generiert und der Prozess wird wiederholt. + +\begin{center}\vspace{-1cm} +\begin{equation} \label{eq:NFW_profile} + \rho_{NFW}(r) = \frac{ 1 }{ \sqrt{ 2 \pi } \cdot \sigma } \cdot + \exp \left( \frac{ -\phi(r) }{ \sigma^{ 2 } } \right) +\end{equation} + +\begin{equation} + \phi(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} +\end{center}%\vspace{0.5cm} +% +\begin{center}\vspace{-0.5cm} +\includegraphics[width=0.8\linewidth]{figs/1e6_6} +\caption{Der entsprechende Funktionsgraph zum NFW-Profil} +\label{fig:lookup_NFW} +\end{center}\vspace{-1cm} diff --git a/pres/plakat/docs/rechner.tex b/pres/plakat/docs/rechner.tex new file mode 100644 index 0000000..993b2a0 --- /dev/null +++ b/pres/plakat/docs/rechner.tex @@ -0,0 +1,11 @@ +\section*{Genutzte Rechner} + +{\setlength{\extrarowheight}{10pt}% +\begin{tabular}{l | l | l | l} + Bezeichnung & Kerne & Threads & Taktrate \\[0.25ex] \hline + Acer Laptop & 2 & 4 & 3.1 GHz \\ + Heidelberg Cluster & 44 & 88 & \( \sim \) 2.5 GHz \\ + Flammkuchenblech & 6 & 24 & 2.5 GHz \\ + +\end{tabular} +} diff --git a/pres/plakat/docs/wirkende_kraefte.tex b/pres/plakat/docs/wirkende_kraefte.tex new file mode 100644 index 0000000..a703696 --- /dev/null +++ b/pres/plakat/docs/wirkende_kraefte.tex @@ -0,0 +1,9 @@ +\section*{Kräfte die auf einen Stern wirken} + +Um die Gesamtkraft die auf einen Stern wirkt zu berechnen, habe ich +das Newton'sche Gravitationsgesetz in der folgenden Form verwendet: + +\begin{equation} + \vec{F_1} = G \cdot m_1 \cdot \sum_{i=2}^n m_i \cdot + \frac{\vec{r_i} - \vec{r_1}}{| \vec{r_i} - \vec{r_1} |^3} +\end{equation}\vspace{-1cm} diff --git a/pres/plakat/docs/zellen.tex b/pres/plakat/docs/zellen.tex new file mode 100644 index 0000000..1bc38b4 --- /dev/null +++ b/pres/plakat/docs/zellen.tex @@ -0,0 +1,14 @@ +\section*{Unterteilung der Galaxie in Zellen} + +Um den Rechenaufwand, der bei der Berechnung der wirkenden Kräfte entsteht, +zu minimieren, wird die Galaxie in verschiedene Zellen unterteilt: + +\begin{center}\vspace{1cm} +\includegraphics[width=0.8\linewidth]{figs/cells_2D} +\label{fig:galaxy_cells} +\end{center} + +\begin{center} 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Binary files differdiff --git a/pres/plakat/figs/lookup_table_rho_r_function_grid.png b/pres/plakat/figs/lookup_table_rho_r_function_grid.png new file mode 100644 index 0000000..4fc3685 --- /dev/null +++ b/pres/plakat/figs/lookup_table_rho_r_function_grid.png Binary files differdiff --git a/pres/plakat/figs/poster.bib b/pres/plakat/figs/poster.bib new file mode 100644 index 0000000..6f4ba43 --- /dev/null +++ b/pres/plakat/figs/poster.bib @@ -0,0 +1,10 @@ +@phdthesis{schwarzmeier07, + author = "Jakub Schwarzmeier", + title = "On simulation if galaxy dynamics and their application to physics education", + school = "University of West Bohemia", + %address = "", + year = "2007", + %month = "", + %keywords = "", + %note = "", +} diff --git a/pres/plakat/poster.bib b/pres/plakat/poster.bib new file mode 100644 index 0000000..a06654b --- /dev/null +++ b/pres/plakat/poster.bib @@ -0,0 +1,21 @@ +@phdthesis{schwarzmeier07, + author = "Jakub Schwarzmeier", + title = "On simulation if galaxy dynamics and their application to physics education", + school = "University of West Bohemia", + %address = "", + year = "2007", + %month = "", + %keywords = "", + %note = "", +} + +@manual{stickley, + title = "Methods of Computational Astrophysics: Galaxy Simulation", + author = "Nathaniel R. Stickley", + organization = "University of California", + %address = "", + %edition = "", + %year = "", + %month = "", + %note = "", +} diff --git a/pres/plakat/poster_1.aux b/pres/plakat/poster_1.aux new file mode 100644 index 0000000..4979c8f --- /dev/null +++ b/pres/plakat/poster_1.aux @@ -0,0 +1,13 @@ +\relax +\catcode `"\active +\select@language{ngerman} +\@writefile{toc}{\select@language{ngerman}} +\@writefile{lof}{\select@language{ngerman}} +\@writefile{lot}{\select@language{ngerman}} +\newlabel{eq:NFW_profile}{{1}{1}} +\newlabel{fig:lookup_NFW}{{}{1}} +\newlabel{fig:bigo}{{}{2}} +\newlabel{fig:galaxy_cells}{{}{2}} +\newlabel{fig:galaxy_cells_3d}{{}{2}} +\newlabel{fig:galaxy_gan}{{}{2}} +\newlabel{fig:galaxy_flammkuchenblech}{{}{2}} diff --git a/pres/plakat/poster_1.fdb_latexmk b/pres/plakat/poster_1.fdb_latexmk new file mode 100644 index 0000000..3446593 --- /dev/null +++ b/pres/plakat/poster_1.fdb_latexmk @@ -0,0 +1,178 @@ +# Fdb version 3 +["pdflatex"] 1519667930 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defining Unicode char U+00E0 (decimal 224) + defining Unicode char U+00E1 (decimal 225) + defining Unicode char U+00E2 (decimal 226) + defining Unicode char U+00E3 (decimal 227) + defining Unicode char U+00E4 (decimal 228) + defining Unicode char U+00E5 (decimal 229) + defining Unicode char U+00E6 (decimal 230) + defining Unicode char U+00E7 (decimal 231) + defining Unicode char U+00E8 (decimal 232) + defining Unicode char U+00E9 (decimal 233) + defining Unicode char U+00EA (decimal 234) + defining Unicode char U+00EB (decimal 235) + defining Unicode char U+00EC (decimal 236) + defining Unicode char U+00ED (decimal 237) + defining Unicode char U+00EE (decimal 238) + defining Unicode char U+00EF (decimal 239) + defining Unicode char U+00F0 (decimal 240) + defining Unicode char U+00F1 (decimal 241) + defining Unicode char U+00F2 (decimal 242) + defining Unicode char U+00F3 (decimal 243) + defining Unicode char U+00F4 (decimal 244) + defining Unicode char U+00F5 (decimal 245) + defining Unicode char U+00F6 (decimal 246) + defining Unicode char U+00F8 (decimal 248) + defining Unicode char U+00F9 (decimal 249) + defining Unicode char U+00FA (decimal 250) + defining Unicode char U+00FB (decimal 251) + defining Unicode char U+00FC (decimal 252) + defining Unicode char U+00FD (decimal 253) + defining Unicode char U+00FE (decimal 254) + defining Unicode char U+00FF (decimal 255) + defining Unicode char U+0100 (decimal 256) + defining Unicode char U+0101 (decimal 257) + defining Unicode char U+0102 (decimal 258) + defining Unicode char U+0103 (decimal 259) + defining Unicode char U+0104 (decimal 260) + defining Unicode char U+0105 (decimal 261) + defining Unicode char U+0106 (decimal 262) + defining Unicode char U+0107 (decimal 263) + defining Unicode char U+0108 (decimal 264) + defining Unicode char U+0109 (decimal 265) + defining Unicode char U+010A (decimal 266) + defining Unicode char U+010B (decimal 267) + defining Unicode char U+010C (decimal 268) + defining Unicode char U+010D (decimal 269) + defining Unicode char U+010E (decimal 270) + defining Unicode char U+010F (decimal 271) + defining Unicode char U+0110 (decimal 272) + defining Unicode char U+0111 (decimal 273) + defining Unicode char U+0112 (decimal 274) + defining Unicode char U+0113 (decimal 275) + defining Unicode char U+0114 (decimal 276) + defining Unicode char U+0115 (decimal 277) + defining Unicode char U+0116 (decimal 278) + defining Unicode char U+0117 (decimal 279) + defining Unicode char U+0118 (decimal 280) + defining Unicode char U+0119 (decimal 281) + defining Unicode char U+011A (decimal 282) + defining Unicode char U+011B (decimal 283) + defining Unicode char U+011C (decimal 284) + defining Unicode char U+011D (decimal 285) + defining Unicode char U+011E (decimal 286) + defining Unicode char U+011F (decimal 287) + defining Unicode char U+0120 (decimal 288) + defining Unicode char U+0121 (decimal 289) + defining Unicode char U+0122 (decimal 290) + defining Unicode char U+0123 (decimal 291) + defining Unicode char U+0124 (decimal 292) + defining Unicode char U+0125 (decimal 293) + defining Unicode char U+0128 (decimal 296) + defining Unicode char U+0129 (decimal 297) + defining Unicode char U+012A (decimal 298) + defining Unicode char U+012B (decimal 299) + defining Unicode char U+012C (decimal 300) + defining Unicode char U+012D (decimal 301) + defining Unicode char U+012E (decimal 302) + defining Unicode char U+012F (decimal 303) + defining Unicode char U+0130 (decimal 304) + defining Unicode char U+0131 (decimal 305) + defining Unicode char U+0132 (decimal 306) + defining Unicode char U+0133 (decimal 307) + defining Unicode char U+0134 (decimal 308) + defining Unicode char U+0135 (decimal 309) + defining Unicode char U+0136 (decimal 310) + defining Unicode char U+0137 (decimal 311) + defining Unicode char U+0139 (decimal 313) + defining Unicode char U+013A (decimal 314) + defining Unicode char U+013B (decimal 315) + defining Unicode char U+013C (decimal 316) + defining Unicode char U+013D (decimal 317) + defining Unicode char U+013E (decimal 318) + defining Unicode char U+0141 (decimal 321) + defining Unicode char U+0142 (decimal 322) + defining Unicode char U+0143 (decimal 323) + defining Unicode char U+0144 (decimal 324) + defining Unicode char U+0145 (decimal 325) + defining Unicode char U+0146 (decimal 326) + defining Unicode char U+0147 (decimal 327) + defining Unicode char U+0148 (decimal 328) + defining Unicode char U+014A (decimal 330) + defining Unicode char U+014B (decimal 331) + defining Unicode char U+014C (decimal 332) + defining Unicode char U+014D (decimal 333) + defining Unicode char U+014E (decimal 334) + defining Unicode char U+014F (decimal 335) + defining Unicode char U+0150 (decimal 336) + defining Unicode char U+0151 (decimal 337) + defining Unicode char U+0152 (decimal 338) + defining Unicode char U+0153 (decimal 339) + defining Unicode char U+0154 (decimal 340) + defining Unicode char U+0155 (decimal 341) + defining Unicode char U+0156 (decimal 342) + defining Unicode char U+0157 (decimal 343) + defining Unicode char U+0158 (decimal 344) + defining Unicode char U+0159 (decimal 345) + defining Unicode char U+015A (decimal 346) + defining Unicode char U+015B (decimal 347) + defining Unicode char U+015C (decimal 348) + defining Unicode char U+015D (decimal 349) + defining Unicode char U+015E (decimal 350) + defining Unicode char U+015F (decimal 351) + defining Unicode char U+0160 (decimal 352) + defining Unicode char U+0161 (decimal 353) + defining Unicode char U+0162 (decimal 354) + defining Unicode char U+0163 (decimal 355) + defining Unicode char U+0164 (decimal 356) + defining Unicode char U+0165 (decimal 357) + defining Unicode char U+0168 (decimal 360) + defining Unicode char U+0169 (decimal 361) + defining Unicode char U+016A (decimal 362) + defining Unicode char U+016B (decimal 363) + defining Unicode char U+016C (decimal 364) + defining Unicode char U+016D (decimal 365) + defining Unicode char U+016E (decimal 366) + defining Unicode char U+016F (decimal 367) + defining Unicode char U+0170 (decimal 368) + defining Unicode char U+0171 (decimal 369) + defining Unicode char U+0172 (decimal 370) + defining Unicode char U+0173 (decimal 371) + defining Unicode char U+0174 (decimal 372) + defining Unicode char U+0175 (decimal 373) + defining Unicode char U+0176 (decimal 374) + defining Unicode char U+0177 (decimal 375) + defining Unicode char U+0178 (decimal 376) + defining Unicode char U+0179 (decimal 377) + defining Unicode char U+017A (decimal 378) + defining Unicode char U+017B (decimal 379) + defining Unicode char U+017C (decimal 380) + defining Unicode char U+017D (decimal 381) + defining Unicode char U+017E (decimal 382) + defining Unicode char U+01CD (decimal 461) + defining Unicode char U+01CE (decimal 462) + defining Unicode char U+01CF (decimal 463) + defining Unicode char U+01D0 (decimal 464) + defining Unicode char U+01D1 (decimal 465) + defining Unicode char U+01D2 (decimal 466) + defining Unicode char U+01D3 (decimal 467) + defining Unicode char U+01D4 (decimal 468) + defining Unicode char U+01E2 (decimal 482) + defining Unicode char U+01E3 (decimal 483) + defining Unicode char U+01E6 (decimal 486) + defining Unicode char U+01E7 (decimal 487) + defining Unicode char U+01E8 (decimal 488) + defining Unicode char U+01E9 (decimal 489) + defining Unicode char U+01EA (decimal 490) + defining Unicode char U+01EB (decimal 491) + defining Unicode char U+01F0 (decimal 496) + defining Unicode char U+01F4 (decimal 500) + defining Unicode char U+01F5 (decimal 501) + defining Unicode char U+0218 (decimal 536) + defining Unicode char U+0219 (decimal 537) + defining Unicode char U+021A (decimal 538) + defining Unicode char U+021B (decimal 539) + defining Unicode char U+0232 (decimal 562) + defining Unicode char U+0233 (decimal 563) + defining Unicode char U+1E02 (decimal 7682) + defining Unicode char U+1E03 (decimal 7683) + defining Unicode char U+200C (decimal 8204) + defining Unicode char U+2010 (decimal 8208) + defining Unicode char U+2011 (decimal 8209) + defining Unicode char U+2012 (decimal 8210) + defining Unicode char U+2013 (decimal 8211) + defining Unicode char U+2014 (decimal 8212) + defining Unicode char U+2015 (decimal 8213) + defining Unicode char U+2018 (decimal 8216) + defining Unicode char U+2019 (decimal 8217) + defining Unicode char U+201A (decimal 8218) + defining Unicode char U+201C (decimal 8220) + defining Unicode char U+201D (decimal 8221) + defining Unicode char U+201E (decimal 8222) + defining Unicode char U+2030 (decimal 8240) + defining Unicode char U+2031 (decimal 8241) + defining Unicode char U+2039 (decimal 8249) + defining Unicode char U+203A (decimal 8250) + defining Unicode char U+2423 (decimal 9251) + defining Unicode char U+1E20 (decimal 7712) + defining Unicode char U+1E21 (decimal 7713) +) +Now handling font encoding OT1 ... +... processing UTF-8 mapping file for font encoding OT1 + 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(max. 500000) + 53 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/pres/plakat/poster_1.pdf b/pres/plakat/poster_1.pdf new file mode 100644 index 0000000..3690f71 --- /dev/null +++ b/pres/plakat/poster_1.pdf Binary files differdiff --git a/pres/plakat/poster_1.synctex.gz b/pres/plakat/poster_1.synctex.gz new file mode 100644 index 0000000..6b4e39d --- /dev/null +++ b/pres/plakat/poster_1.synctex.gz Binary files differdiff --git a/pres/plakat/poster_1.tex b/pres/plakat/poster_1.tex new file mode 100644 index 0000000..9ced418 --- /dev/null +++ b/pres/plakat/poster_1.tex @@ -0,0 +1,58 @@ +% Create a sciposter with a size of 420 x 594 (DIN A 2) +% \documentclass[a2, plainboxedsections, draft]{sciposter} +% \documentclass[a2, plainboxedsections]{sciposter} +\documentclass[a2, plainboxedsections, final]{sciposter} + +% Import Packages +\usepackage{multicol} % Use multiple columns +\columnsep=2cm % Space between columns +\columnseprule=1pt % Width of the line inbetween the columns + +\usepackage{tikz} % Nice Graphs +\usepackage{listings} % Code +\usepackage{array} % Nice tables +\usepackage{times} % Times New Roman +\usepackage{graphicx} % Insert Images +\usepackage[english,ngerman]{babel} % German symbols (ä, ö, ü, ß) +\usepackage[utf8]{inputenc} % UTF-8 + +% title +\title{Galaxy Generation} % Title of the Project +\author{Emile Hansmaennel} % Name of the author +\institute{Theodor Fliedner Gymnasium} % Institute +\email{emile.hansmaennel@gmail.com} % Email +\leftlogo[1.25]{figs/galaxy} % Logo left of the title +\rightlogo[1]{figs/logos_box} % Logo right of the title + +% Custom section header style +\usepackage{sectsty} +\sectionfont{\color{black}\itshape\selectfont\sectionrule{0pt}{0pt}{-4pt}{1pt}} + +% footnote +\conference{\\ \textbf{Jugend Forscht 2018}, Emile Hansmaennel, Theodor-Fliedner-Gymnasium} + +% Rest +\setmargins[2cm] % Page Margin + +\begin{document} + \maketitle + + \begin{multicols}{2} + + \input{docs/abstract} + \input{docs/hauptziele} + \input{docs/nutzen} + \input{docs/methoden} + \input{docs/random_sampling_nfw} + \input{docs/lookup} + \input{docs/bigo} + \input{docs/wirkende_kraefte} + \input{docs/zellen} + \input{docs/rechner} + \input{docs/gan} + \input{docs/ergebnisse} + \input{docs/zukunft} + \input{docs/danksagung} + + \end{multicols} +\end{document} diff --git a/pres/plakat/sciposter.cls b/pres/plakat/sciposter.cls new file mode 100644 index 0000000..570de16 --- /dev/null +++ b/pres/plakat/sciposter.cls @@ -0,0 +1,985 @@ +%% +%% This is file `sciposter.cls' v 1.18 +%% +%% Authors Michael H.F. Wilkinson and Alle Meije Wink +%% August 18, 2006 +%% +%% Derived from IWIposter.cls, 18/11/2003, same authors +%% Problems, bugs and comments to +%% m.h.f.wilkinson@rug.nl +%% version 1.18, 2006/08/18 : +%% - footer layout options changed \LEFTSIDEfootlogo command +%% added +%% - \PARstart command problem fixed, by redefining it using +%% the lettrine package by Daniel Flipo +%% - bug in babel support fixed (\abstractname hook used now) +%% version 1.17, 2006/06/15 : +%% - interfacing to babel implemented by using \figurename +%% and \tablename in table caption. Thanks to Marcus +%% Guenther for pointing out the problem. +%% - \algorithmname added for easy changing of algorithm +%% caption start, for similar reasons as above +%% - posibilities for changing caption style added +%% - \setmargins added as command +%% - \noindent added to figure, algorithm, and table +%% environments to obtain correct layout if \parindent +%% is not zero (the default). Suggested by Pavel Rehulka +%% version 1.16, 2006/03/28 : +%% - plainboxsection option added, by popular request +%% version 1.15, 2005/10/20 : +%% - \caption given extra optional parameter indicating +%% which fraction of \columnwidth the width should be +%% (default 1). Thanks to Andreas Engel for this +%% suggestion. +%% version 1.14, 2005/09/02 : +%% - \centering (in stead of the center environment) can now +%% be used within figure environment without unwanted +%% centering of the caption +%% - Bug in colour setting of \section* fixed +%% - Font pointsize options now also work properly with +%% external paper size settings (including ISO RA0-RA3, +%% ISO B0-B3, and custom). +%% version 1.13, 2005/07/13 : +%% - mainCol now properly affects background \pagecolor, +%% even in the presence of a right logo +%% version 1.12, 2004/10/11 : +%% - mainCol now properly affects background \pagecolor +%% +%% version 1.11, 2004/06/22 : +%% - Some cosmetics of the \subfigure command improved, +%% references to subfigures are now displayed as 2(a) etc. +%% version 1.10, 2004/04/02 : +%% - Standard LaTeX seems to work now: xdvi look weird, +%% but with up-to-date dvips I get good results when viewed +%% with gv +%% - Custom paper support through external files 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+\setboolean{pointsizeset}{true} +} + + +\DeclareOption*{\InputIfFileExists{paper\CurrentOption.cfg}{}{\PackageWarning{poster}{Unknown option \CurrentOption}}} + +\ExecuteOptions{portrait,a0,final} +\ProcessOptions\relax + + +\ifthenelse{\equal{\orientation}{landscape}}{ + \newlength{\tempsize} + \setlength{\tempsize}{\paperwidth} + \setlength{\paperwidth}{\paperheight} + \setlength{\paperheight}{\tempsize} + }{} + + +\ifthenelse{\boolean{pointsizeset}}{ + \renewcommand{\fontpointsize}{\requestpointsize}}{ + \ifthenelse{\boolean{largeletters}}{ + \ifthenelse{\equal{\fontpointsize}{20pt}}{ + \renewcommand{\fontpointsize}{25pt} + }{ \ifthenelse{\equal{\fontpointsize}{17pt}}{ + \renewcommand{\fontpointsize}{20pt} + }{ \ifthenelse{\equal{\fontpointsize}{14pt}}{ + \renewcommand{\fontpointsize}{17pt} + }{\renewcommand{\fontpointsize}{30pt} + } + } + } + }{ + } + } + +\RequirePackage{graphics} +\RequirePackage{color} +\RequirePackage{shadow} +\RequirePackage{a0size} +\RequirePackage{times} +\RequirePackage{boxedminipage} + +\newlength{\titlewidth} +\newlength{\logowidth} + + +\newcommand{\setmargins}[1][]{ + \ifthenelse{\equal{#1}{}}{ + \ifthenelse{\equal{\orientation}{landscape}}{ + \setlength{\papermargin}{0.06\paperheight} + }{ + \setlength{\papermargin}{0.06\paperwidth} + } + }{\setlength{\papermargin}{#1}} + \setlength{\textwidth}{\paperwidth} + \addtolength{\textwidth}{-2\papermargin} + \setlength{\textheight}{\paperheight} + \addtolength{\textheight}{-2\papermargin} + + \setlength{\voffset}{-2.54cm} + \addtolength{\voffset}{\papermargin} + \setlength{\hoffset}{-2.54cm} + \addtolength{\hoffset}{\papermargin} + \setlength{\headheight}{0 cm} + \setlength{\headsep}{0 cm} + \setlength{\topmargin}{0 cm} + \setlength{\oddsidemargin}{0 cm} + \setlength{\footskip}{0.65\papermargin} + + \ifthenelse{\equal{\orientation}{landscape}}{ + \setlength{\logowidth}{0.12\textheight} + }{ + \setlength{\logowidth}{0.12\textwidth} + } + \setlength{\titlewidth}{\textwidth} + \addtolength{\titlewidth}{-2\logowidth} + +} + +\setmargins + +\ifthenelse{\equal{\fontpointsize}{20pt}}{ + \renewcommand{\tiny}{\fontsize{10}{12}\selectfont} + \renewcommand{\scriptsize}{\fontsize{12}{14}\selectfont} + \renewcommand{\footnotesize}{\fontsize{14.4}{18}\selectfont} + \renewcommand{\small}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\normalsize}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\large}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\Large}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\LARGE}{\fontsize{35.83}{45}\selectfont} + \renewcommand{\huge}{\fontsize{43}{54}\selectfont} + \renewcommand{\Huge}{\fontsize{51.6}{64}\selectfont} + \newcommand{\veryHuge}{\fontsize{61.92}{77}\selectfont} + \newcommand{\VeryHuge}{\fontsize{74.3}{93}\selectfont} + \newcommand{\VERYHuge}{\fontsize{89.16}{112}\selectfont} + \newcommand{\titlesize}{\veryHuge} + \newcommand{\authorsize}{\LARGE} + \newcommand{\instsize}{\Large} + + \setlength\smallskipamount{5pt plus 2pt minus 2pt} + \setlength\medskipamount{10pt plus 3pt minus 3pt} + \setlength\bigskipamount{20pt plus 7pt minus 7pt} + \setlength\abovecaptionskip{20pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{20pt plus 5pt minus 13 pt} + \setlength\abovedisplayshortskip{0pt plus 5pt} + \setlength\belowdisplayshortskip{10pt plus 6pt minus 5pt} +}{\ifthenelse{\equal{\fontpointsize}{17pt}}{ + \renewcommand{\tiny}{\fontsize{8.3}{10}\selectfont} + \renewcommand{\scriptsize}{\fontsize{10}{12}\selectfont} + \renewcommand{\footnotesize}{\fontsize{12}{14}\selectfont} + \renewcommand{\small}{\fontsize{14.4}{18}\selectfont} + \renewcommand{\normalsize}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\large}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\Large}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\LARGE}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\huge}{\fontsize{35.83}{45}\selectfont} + \renewcommand{\Huge}{\fontsize{43}{54}\selectfont} + \newcommand{\veryHuge}{\fontsize{51.6}{64}\selectfont} + \newcommand{\VeryHuge}{\fontsize{61.92}{77}\selectfont} + \newcommand{\VERYHuge}{\fontsize{74.3}{93}\selectfont} + \newcommand{\titlesize}{\Huge} + \newcommand{\authorsize}{\LARGE} + \newcommand{\instsize}{\Large} + + + \setlength\smallskipamount{4.5pt plus 2pt minus 2pt} + \setlength\medskipamount{9pt plus 3pt minus 3pt} + \setlength\bigskipamount{18pt plus 6pt minus 6pt} + \setlength\abovecaptionskip{17pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{17pt plus 4pt minus 11 pt} + \setlength\abovedisplayshortskip{0pt plus 4pt} + \setlength\belowdisplayshortskip{8pt plus 5pt minus 4pt} + + }{\ifthenelse{\equal{\fontpointsize}{14pt}}{ + \renewcommand{\tiny}{\fontsize{8.3}{10}\selectfont} + \renewcommand{\scriptsize}{\fontsize{8.3}{10}\selectfont} + \renewcommand{\footnotesize}{\fontsize{10}{12}\selectfont} + \renewcommand{\small}{\fontsize{12}{14}\selectfont} + \renewcommand{\normalsize}{\fontsize{14.4}{18}\selectfont} + \renewcommand{\large}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\Large}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\LARGE}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\huge}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\Huge}{\fontsize{35.83}{45}\selectfont} + \newcommand{\veryHuge}{\fontsize{43}{54}\selectfont} + \newcommand{\VeryHuge}{\fontsize{51.6}{64}\selectfont} + \newcommand{\VERYHuge}{\fontsize{61.92}{77}\selectfont} + \newcommand{\titlesize}{\huge} + \newcommand{\authorsize}{\LARGE} + \newcommand{\instsize}{\Large} + + \setlength\smallskipamount{3.5pt plus 1pt minus 1pt} + \setlength\medskipamount{7.5pt plus 2pt minus 2pt} + \setlength\bigskipamount{15pt plus 5pt minus 5pt} + + \setlength\abovecaptionskip{14pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{14pt plus 4pt minus 9 pt} + \setlength\abovedisplayshortskip{0pt plus 4pt} + \setlength\belowdisplayshortskip{7pt plus 5pt minus 4pt} + + }{\ifthenelse{\equal{\fontpointsize}{25pt}}{ + \renewcommand{\tiny}{\fontsize{12}{14}\selectfont} + \renewcommand{\scriptsize}{\fontsize{14.4}{18}\selectfont} + \renewcommand{\footnotesize}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\small}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\normalsize}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\large}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\Large}{\fontsize{35.83}{45}\selectfont} + \renewcommand{\LARGE}{\fontsize{43}{54}\selectfont} + \renewcommand{\huge}{\fontsize{51.6}{64}\selectfont} + \renewcommand{\Huge}{\fontsize{61.92}{77}\selectfont} + \newcommand{\veryHuge}{\fontsize{74.3}{93}\selectfont} + \newcommand{\VeryHuge}{\fontsize{89.16}{212}\selectfont} + \newcommand{\VERYHuge}{\fontsize{107}{134}\selectfont} + + \newcommand{\titlesize}{\VeryHuge} + \newcommand{\authorsize}{\LARGE} + \newcommand{\instsize}{\Large} + + \setlength\smallskipamount{6pt plus 2pt minus 2pt} + \setlength\medskipamount{12pt plus 4pt minus 4pt} + \setlength\bigskipamount{24pt plus 8pt minus 8pt} + \setlength\abovecaptionskip{25pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{25pt plus 6pt minus 15 pt} + \setlength\abovedisplayshortskip{0pt plus 6pt} + \setlength\belowdisplayshortskip{13pt plus 7pt minus 6pt} + + }{\ifthenelse{\equal{\fontpointsize}{30pt}}{ + \renewcommand{\tiny}{\fontsize{14.4}{18}\selectfont} + \renewcommand{\scriptsize}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\footnotesize}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\small}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\normalsize}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\large}{\fontsize{35.83}{45}\selectfont} + \renewcommand{\Large}{\fontsize{43}{54}\selectfont} + \renewcommand{\LARGE}{\fontsize{51.6}{64}\selectfont} + \renewcommand{\huge}{\fontsize{61.92}{77}\selectfont} + \renewcommand{\Huge}{\fontsize{74.3}{93}\selectfont} + \newcommand{\veryHuge}{\fontsize{89.16}{112}\selectfont} + \newcommand{\VeryHuge}{\fontsize{107}{134}\selectfont} + \newcommand{\VERYHuge}{\fontsize{107}{134}\selectfont} + + \newcommand{\titlesize}{\veryHuge} + \newcommand{\authorsize}{\Large} + \newcommand{\instsize}{\large} + + \setlength\smallskipamount{8pt plus 2pt minus 2pt} + \setlength\medskipamount{14pt plus 5pt minus 5pt} + \setlength\bigskipamount{29pt plus 9pt minus 9pt} + + \setlength\abovecaptionskip{25pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{25pt plus 6pt minus 15 pt} + \setlength\abovedisplayshortskip{0pt plus 6pt} + \setlength\belowdisplayshortskip{13pt plus 7pt minus 6pt} + + }{ + \renewcommand{\tiny}{\fontsize{17.28}{22}\selectfont} + \renewcommand{\scriptsize}{\fontsize{20.74}{25}\selectfont} + \renewcommand{\footnotesize}{\fontsize{24.88}{30}\selectfont} + \renewcommand{\small}{\fontsize{29.86}{37}\selectfont} + \renewcommand{\normalsize}{\fontsize{35.83}{45}\selectfont} + \renewcommand{\large}{\fontsize{43}{54}\selectfont} + \renewcommand{\Large}{\fontsize{51.6}{64}\selectfont} + \renewcommand{\LARGE}{\fontsize{61.92}{77}\selectfont} + \renewcommand{\huge}{\fontsize{74.3}{93}\selectfont} + \renewcommand{\Huge}{\fontsize{89.16}{112}\selectfont} + \newcommand{\veryHuge}{\fontsize{107}{134}\selectfont} + \newcommand{\VeryHuge}{\fontsize{107}{134}\selectfont} + \newcommand{\VERYHuge}{\fontsize{107}{134}\selectfont} + + + \newcommand{\titlesize}{\Huge} + \newcommand{\authorsize}{\Large} + \newcommand{\instsize}{\large} + + \setlength\smallskipamount{10pt plus 2pt minus 2pt} + \setlength\medskipamount{18pt plus 6pt minus 6pt} + \setlength\bigskipamount{36pt plus 11pt minus 11pt} + + \setlength\abovecaptionskip{25pt} + \setlength\belowcaptionskip{0pt} + \setlength\abovedisplayskip{25pt plus 6pt minus 15 pt} + \setlength\abovedisplayshortskip{0pt plus 6pt} + \setlength\belowdisplayshortskip{13pt plus 7pt minus 6pt} + + } + } + } + } +} + + +\setlength\belowdisplayskip\abovedisplayskip +\normalsize +\newlength{\parstartskip} +\setlength\parstartskip{2\baselineskip} +\setboolean{useleftlogo}{true} +\setboolean{userightlogo}{true} + +% Definition of Colors +% Background- and Text-color +\definecolor{mainCol}{rgb}{1,1,1} +\definecolor{BoxCol}{rgb}{0.9,0.9,0.9} +\definecolor{TextCol}{rgb}{0,0,0} +\definecolor{SectionCol}{rgb}{0,0,0} + + +\AtBeginDocument{ + \typeout{-- Paper type set to \papertype.} + + \@ifundefined{pdfoutput}{% standard LaTeX + \setpspagesize + }{} + \pagestyle{empty} + \setfooter + \pagecolor{mainCol} + } +% + + +\newlength{\figtopskip} +\newlength{\figbotskip} +\newlength{\secskip} +\newlength{\titleskip} +\ifthenelse{\equal{\orientation}{landscape}}{ + \setlength{\titleskip}{0.025\textheight} +}{ + \setlength{\titleskip}{0.025\textwidth} +} +\setlength{\secskip}{\bigskipamount} +\setlength{\figtopskip}{\secskip} +\setlength{\figbotskip}{\secskip} +%%%% Defines default institute +\newcommand{\theinstitute}{% +} + +\newcommand{\printemail}{} +% +\newcommand{\printleftlogo}{% + \begin{center} + \hspace*{0.6\textwidth} + \end{center} +} +\newcommand{\printrightlogo}{% + \begin{center} + \hspace*{0.6\textwidth} + \end{center} +} +% +% +% +\newboolean{footlogo@leftside} +% +\newcommand{\LEFTSIDEfootlogo}[1][true]{% + \setboolean{footlogo@leftside}{#1} + \setfooter +} +% +\newcommand{\footlogo}{} +\newcommand{\@conference}{} +% +\newcommand{\setfooter}{% + \ifthenelse{\boolean{footlogo@leftside}}{% + \renewcommand{\@oddfoot}{\footlogo \hfill \@conference\\} + }{% + \renewcommand{\@oddfoot}{\@conference \hfill \footlogo\\} + } +} +% +% +\newcommand{\conference}[1]{% arg:name of conference +\makeatletter +\renewcommand{\@conference}{\footnotesize #1} +\setfooter +} + +\renewcommand{\maketitle}{% + \ifthenelse{\boolean{useleftlogo}}{% + \begin{minipage}[c]{\logowidth} + \printleftlogo + \end{minipage} + }{} + \begin{minipage}[c]{\titlewidth} + \begin{center} + \renewcommand{\baselinestretch}{3.3}\normalsize + {\titlesize \bf \@title}\par + \renewcommand{\baselinestretch}{1.0}\normalsize + \vspace{0.4\titleskip} + {\authorsize {\bf\@author} \par} + {\instsize + \vspace{0.2\titleskip} + \theinstitute \par + \ifthenelse{\equal{\printemail}{}}{%nothing + }{% + \vspace{0.2\titleskip} + \texttt{\printemail} + } + } + \end{center} + \end{minipage}%}} + \ifthenelse{\boolean{userightlogo}}{% + \begin{minipage}[c]{\logowidth} + \printrightlogo + \end{minipage} + }{} +\vspace{\titleskip} +} +\newlength{\secboxwidth} +%%% \replacement for \section +% with colored section-title and automatic numbering +\newcommand{\Section}[2][?]{ + \vspace{\secskip} + \refstepcounter{section} + \begin{center} + \setlength{\secboxwidth}{\columnwidth} + \addtolength{\secboxwidth}{-1cm} + \shabox{\colorbox{BoxCol}{ + \begin{minipage}[c]{\secboxwidth} + \vspace{1.1ex} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{\arabic{section}.~#2}} + \end{center} + \vspace{0.2ex} + \end{minipage} + }} + \end{center} + \par\vspace{0.375\secskip} +} +% +\newcommand{\sSection}[1]{ + \vspace{\secskip} + \begin{center} + \setlength{\secboxwidth}{\columnwidth} + \addtolength{\secboxwidth}{-1cm} + \shabox{\colorbox{BoxCol}{ + \begin{minipage}[c]{\secboxwidth} + \vspace{1.1ex} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{#1}} + \end{center} + \vspace{0.2ex} + \end{minipage} + }} + \end{center} + \par\vspace{0.375\secskip} +} +% +% +%%% \PlainSection - replacement for \section +\newcommand{\PlainSection}[2][?]{ + \refstepcounter{section} + \vspace{\secskip} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{\arabic{section}.~#2}} + \end{center} + \par\vspace{0.375\secskip} +} +% +%%% \sPlainSection - replacement for \section +\newcommand{\sPlainSection}[1]{ + \vspace{\secskip} + \begin{center} + {\bf \sectionsize \textcolor{SectionCol}{#1}} + \end{center} + \par\vspace{0.375\secskip} +} +% +%%% \RuledSection - replacement for \section +\newcommand{\RuledSection}[2][?]{ + \vspace{0.3\secskip} + \rule{\columnwidth}{\secrulewidth} + \refstepcounter{section} + \vspace{0.7\secskip} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{\arabic{section}.~#2}} + \end{center} + \par\vspace{0.375\secskip} +} +% +%%% \sRuledSection - replacement for \section +\newcommand{\sRuledSection}[1]{ + \ifthenelse{\equal{\arabic{section}}{0}}{}{ + \vspace{0.3\secskip} + \rule{\columnwidth}{\secrulewidth} + } + \vspace{0.7\secskip} + \begin{center} + {\bf \sectionsize \textcolor{SectionCol}{#1}} + \end{center} + \par\vspace{0.375\secskip} +} +%%% \replacement for \section +% with colored section-title and automatic numbering +\newcommand{\PlainBoxSection}[2][?]{ + \vspace{\secskip} + \refstepcounter{section} + \begin{center} + \setlength{\secboxwidth}{\columnwidth} + \addtolength{\secboxwidth}{-1cm} + \setlength{\fboxrule}{2pt} + \setlength{\fboxsep}{0pt} + \fbox{\colorbox{BoxCol}{ + \begin{minipage}[c]{\secboxwidth} + \vspace{1.1ex} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{\arabic{section}.~#2}} + \end{center} + \vspace{0.2ex} + \end{minipage} + }} + \end{center} + \par\vspace{0.375\secskip} +} +% +\newcommand{\sPlainBoxSection}[1]{ + \vspace{\secskip} + \begin{center} + \setlength{\secboxwidth}{\columnwidth} + \addtolength{\secboxwidth}{-1cm} + \setlength{\fboxrule}{2pt} + \setlength{\fboxsep}{0pt} + \fbox{\colorbox{BoxCol}{ + \begin{minipage}[c]{\secboxwidth} + \vspace{1.1ex} + \begin{center} + {\bf\sectionsize\textcolor{SectionCol}{#1}} + \end{center} + \vspace{0.2ex} + \end{minipage} + }} + \end{center} + \par\vspace{0.375\secskip} +} +% +% +% +% +% +\ifthenelse{\equal{\secstyle}{ruled}}{ + \renewcommand{\section}{\secdef\RuledSection\sRuledSection} +}{ + \ifthenelse{\equal{\secstyle}{plain}}{ + \renewcommand{\section}{\secdef\PlainSection\sPlainSection} + }{ + \ifthenelse{\equal{\secstyle}{plainboxed}}{ + \renewcommand{\section}{\secdef\PlainBoxSection\sPlainBoxSection} + }{ + \renewcommand{\section}{\secdef\Section\sSection} + } + } +} +%%% \SubSection - replacement for \subsection +\newcommand{\SubSection}[2][?]{ + \vspace{0.5\secskip} + \refstepcounter{subsection} + {\bf \subsectionsize \textcolor{TextCol}{\arabic{section}.\arabic{subsection}~#2}} + \par\vspace{0.375\secskip} +} +%%% \sSubSection - replacement for \subsection +\newcommand{\sSubSection}[1]{ + \vspace{0.5\secskip} + {\bf \subsectionsize \textcolor{TextCol}{#1}} + \par\vspace{0.375\secskip} +} +% +\renewcommand{\subsection}{\secdef\SubSection\sSubSection} +%%% +\renewenvironment{abstract} +{\section*{\abstractname}\it} +{} +%%% +%%% +\newcounter{subfig}[figure] +\renewcommand{\thesubfig}{\thefigure(\alph{subfig})} +\newcommand{\capstart}{} +\newcommand{\capfirstskip}{} +\newcommand{\caplastskip}{} +\newcommand{\subfigure}[2][]{ +\refstepcounter{subfig} +\begin{tabular}{c} + #2 \\ + ( + \alph{subfig} + ) #1\\ +\end{tabular} +} + +%%% caption formatting commands +\newcommand{\mastercapstartstyle}[1]{\textbf{#1}} +\newcommand{\mastercapbodystyle}{\itshape} +\newcommand{\capbodystyle}{\mastercapbodystyle} + +\newcommand{\figcapstartstyle}[1]{\mastercapstartstyle{#1}} +\newcommand{\figcapbodystyle}{\mastercapbodystyle} +\newcommand{\tablecapstartstyle}[1]{\mastercapstartstyle{#1}} +\newcommand{\tablecapbodystyle}{\mastercapbodystyle} +\newcommand{\algcapstartstyle}[1]{\mastercapstartstyle{#1}} +\newcommand{\algcapbodystyle}{\mastercapbodystyle} + +%%% replacement for standard figure environment +\renewenvironment{figure}[1][h] +{\vspace{\figtopskip} + \refstepcounter{figure} + \renewcommand{\capstart}{% + \figcapstartstyle{\figurename\nobreakspace\thefigure:}% + } + \renewcommand{\capfirstskip}{\vspace{0.5\figtopskip}\par} + \renewcommand{\caplastskip}{} + \noindent% + \begin{minipage}{\columnwidth} + \renewcommand{\capbodystyle}{\figcapbodystyle} +} +{\end{minipage} +\vspace{\figbotskip}} + +\newcommand{\algorithmname}{Algorithm} +\newcounter{algorithm} +%%% replacement for algorithm environment +\newenvironment{algorithm}[1][h] +{\vspace{\figtopskip} + \refstepcounter{algorithm} + \renewcommand{\capstart}{% + \algcapstartstyle{\algorithmname\nobreakspace\thealgorithm:}% + } + \renewcommand{\capfirstskip}{\vspace{0.5\figtopskip}\par} + \renewcommand{\caplastskip}{} + \noindent% + \begin{boxedminipage}{\columnwidth} + \renewcommand{\capbodystyle}{\algcapbodystyle} +} +{\end{boxedminipage} +\vspace{\figbotskip}} +%%% replacement for standard table environment +\renewenvironment{table}[1][h] +{\vspace{\figtopskip} + \refstepcounter{table} + \renewcommand{\capstart}{% + \tablecapstartstyle{\tablename\nobreakspace\thetable:}% + } + \renewcommand{\caplastskip}{\vspace{0.5\figtopskip}\par} + \renewcommand{\capfirstskip}{} + \noindent% + \begin{minipage}{\columnwidth} + \renewcommand{\capbodystyle}{\tablecapbodystyle} + } + {\end{minipage}\vspace{\figbotskip}} +%%% replacement for standard \caption +\renewcommand{\caption}[2][1]{ + \capfirstskip + \begin{minipage}{#1\columnwidth} + \renewcommand{\baselinestretch}{1} + \setbox0=\hbox{\capstart\nobreakspace\capbodystyle #2} + \ifdim\wd0>\hsize + {\capstart\nobreakspace\capbodystyle #2} + \else + \centerline{\box0} + \fi + \par + \end{minipage} + \caplastskip +} +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +\setlength{\sboxrule}{2pt} +\setlength{\sboxsep}{0pt} +% +\ifthenelse{\equal{\orientation}{landscape}}{ + \setlength{\columnsep}{0.0385\textheight} + \setlength{\columnseprule}{0.0025\textheight} +}{ + \setlength{\columnsep}{0.0385\textwidth} + \setlength{\columnseprule}{0.0025\textwidth} +} +\setlength{\parindent}{0.0cm} +\newlength{\secrulewidth} +\setlength{\secrulewidth}{0.3\columnseprule} + +% +% +\renewcommand{\familydefault}{\sfdefault} + +\newcommand{\leftlogo}[2][0.9]{% +\ifthenelse{\equal{#2}{}}{% + \renewcommand{\printleftlogo}{% + \begin{center} + \hspace*{0.6\textwidth} + \end{center} + } + } + {\renewcommand{\printleftlogo}{% + \begin{center} + \resizebox{#1\textwidth}{!}{\includegraphics{#2}} + \end{center} + }} +} +% +\newcommand{\rightlogo}[2][0.9]{% +\ifthenelse{\equal{#2}{}}{% + \renewcommand{\printrightlogo}{% + \begin{center} + \hspace*{0.6\textwidth} + \end{center} + } + } + {\renewcommand{\printrightlogo}{% + \begin{center} + \resizebox{#1\textwidth}{!}{\includegraphics{#2}} + \end{center} + }} +} +% +\newcommand{\email}[1]{% +\renewcommand{\printemail}{#1} +} +% +\newcommand{\institute}[1]{% +\renewcommand{\theinstitute}{#1} +} +% +\newcommand{\norightlogo}{ +\setboolean{userightlogo}{false} +\setlength{\titlewidth}{\textwidth} +\ifthenelse{\boolean{useleftlogo}}{ +\addtolength{\titlewidth}{-\logowidth} +}{} +} +\newcommand{\noleftlogo}{ +\setboolean{useleftlogo}{false} +\setlength{\titlewidth}{\textwidth} +\ifthenelse{\boolean{userightlogo}}{ +\addtolength{\titlewidth}{-\logowidth} +}{} +} +\newcommand{\nologos}{ +\setboolean{useleftlogo}{false} +\setboolean{userightlogo}{false} +\setlength{\titlewidth}{\textwidth} +} + +% +%%% \PARstart command redefined using lettrine package of Danial Flipo +%% only included here for backwards compatibility + +\newcommand{\PARstart}[2]{\lettrine{#1}{#2}} + + +\endinput + +\color{TextCol} + +%% +%% End of file `sciposter.cls'. diff --git a/pres/plakate_test/a0header.ps b/pres/plakate_test/a0header.ps new file mode 100644 index 0000000..27c1650 --- /dev/null +++ b/pres/plakate_test/a0header.ps @@ -0,0 +1,6 @@ +%%BeginFeature *PageSize ISOA0/ISO A0 +2 dict dup /PageSize [595 842] put dup /ImagingBBox null put +setpagedevice +38 84 translate +0.2 0.2 scale +%%EndFeature diff --git a/pres/plakate_test/test.aux b/pres/plakate_test/test.aux new file mode 100644 index 0000000..f23e546 --- /dev/null +++ b/pres/plakate_test/test.aux @@ -0,0 +1 @@ +\relax diff --git a/pres/plakate_test/test.fdb_latexmk b/pres/plakate_test/test.fdb_latexmk new file mode 100644 index 0000000..494e0c6 --- /dev/null +++ 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--- /dev/null +++ b/pres/plakate_test/test.tex @@ -0,0 +1,440 @@ +\documentclass[portrait]{sciposter} + +\usepackage[utf8x]{inputenc} +\usepackage[ngerman, english]{babel} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{graphicx} +\usepackage{multicol} +\usepackage{sectionbox} + +\author{Emile Hansmaennel} +\title{Development of components for\\ a ChiralSTEM -- Mode} +\institute{Universität Regensburg\\} +\email{andreas.hasenkopf@physik.uni-regensburg.de} +\leftlogo[1]{UniLogo2} +\rightlogo[1]{TEM-Logo} +\conference{14. European Microscopy Congress, Aachen, September 1--5, 2008} +\begin{document} + +\maketitle +\rule{\textwidth}{2mm} + +\begin{multicols}{3} + +\begin{abstract} +The effect of \textbf{E}nergy-loss \textbf{M}agnetic \textbf{C}hiral \textbf{D}ichroism (EMCD) was proposed by Schattschneider et al. \cite{emcd_proposal} in analogy to XMCD due to similar scattering cross section expressions (wave vector transfer $\vec{q}$ in inelastic electron scattering $\leftrightarrow$ polarization vector $\vec{\epsilon}$ in X-ray absorption). The effect was measured for the first time by Rubino \cite{emcd_nature}. + +The state of the art method for recording EMCD-spectra is the ''intrinsic method'' requiring the specimen to fulfill three strict properties (mono crystal, thickness, orientation) due to its use as a beam splitter. In order to avoid these requirements an alternative setup with a twin aperture and Boersch phase plate for generating 2 coherent electron waves with a phase difference of $\pi/2$ is suggested. Chiral contrast in energy-loss spectra is achieved due to a magnetic sample. + +To determine whether a twin aperture is suitable for EMCD-measurements -- in particular in STEM-mode -- the wave function and intensity distribution in the sample plane are calculated numerically and the optimum dimensions for the aperture and phase plate are determined. Finally a STEM operation with a twin aperture is realized. +\end{abstract} + +\section{Intrinsic method} +\textbf{\scshape Analogon to Circular Polarization}: two scattered coherent electron waves (wave vector transfers: $q_1$, $q_2$, $q_1\perp q_2$ or $q\,'_1$, $q\,'_2$, $q\,'_1\perp q\,'_2$) with a phase difference of $\pi/2$. + +\begin{figure}[h] +\begin{center} +\label{fig_intrinsic} +\includegraphics[width=\textwidth]{poster_aperture_einzel.png} +\caption{setup -- intrinsic method} +\end{center} +\end{figure} + +\textbf{\scshape Setup}: see fig. \ref{fig_intrinsic}. +\begin{itemize} +\item proposed by Nelhiebel \cite{emcd_intrinsic} and used in prior EMCD-measurements\cite{emcd_nature,pd_rubino,pd_hurm}, +\item mono crystalline sample as beam splitter, +\item two Bragg reflexes with phase difference $\pi/2$ in the diffraction plane according to dynamic diffraction theory (see \cite{pd_rubino,pd_hurm}). +\end{itemize} + +\textbf{\scshape Deficiencies}: +\begin{itemize} +\item signal low, +\item resolution low (improved by convergent beam technique \cite{mcd_in_eels_2}), +\item long duration of measurement. +\end{itemize} + +\textbf{\scshape Needed Improvements}: +\begin{itemize} +\item higher intensity within +\item small specimen area +\item[$\Rightarrow$] focussed beams $\to$ STEM?! +\end{itemize} + +\section{Twin Aperture} +\textbf{\scshape Suggestion}: see fig. \ref{fig_twin} +\begin{itemize} +\item twin aperture $\to$ two coherent partial electron waves, +\item condenser lens $\to$ focussing, +\item electrostatic Boersch phase plate (annular electrode) \cite{phaseplate} $\to$ application of phase shift to one partial wave +\end{itemize} + +\begin{figure}[h] +\begin{center} +\label{fig_twin} +\includegraphics[width=\textwidth]{poster_aperture_twin.png} +\end{center} +\caption{setup -- twin aperture} +\end{figure} +% one electron wave is shifted in phase such that the phase difference of the two waves in the sample plane is $\pi/2$ and such that a similar diffraction pattern is observed in the diffraction plane as for the intrinsic method. + +%Therefor the possibility of a STEM operation with such a twin aperture was investigated due to the wish to perform EMCD measurement in a STEM mode in the future. + +\section{Numerical Calculations} + +\textbf{\scshape Intensity Distribution}: $|\psi_{BFP}|^2$, see fig. \ref{fig_linescan} +\begin{eqnarray} +\psi_{BFP}(X,\,Y) &=& \mathrm{J}_1\left(\frac{2\pi R\sqrt{X^2+Y^2}}{\lambda f}\right)\frac{\lambda f}{\pi R\sqrt{X^2+Y^2}} \nonumber \\ +&& \cdot\left( e^{-\frac{id_1X}{\lambda f}}+e^{-\frac{id_2X}{\lambda f}-i\varphi}\right),\nonumber \\ +\Delta\phi(X) &=& \left((d_2-d_1)\frac{X}{\lambda f}+\varphi+\pi\right)\mathrm{mod}(2\pi)-\pi \nonumber +\end{eqnarray} + +\begin{itemize} +\item in sample plane $\equiv$ back focal plane (BFP) +\item influence of phase shift on intensity in BFP +\item what are optimum parameters for $R$, $d_1$, $d_2$ and $\varphi$? +\end{itemize} + +\begin{figure}[h] +\includegraphics[width=\textwidth]{poster_linescan.png} +\caption{intensity distribution and phase difference} +\label{fig_linescan} +\end{figure} + +%As one can see the maximum of the intensity distribution and the $\pi/2$-polygon coincide. Thus it is possible to adjust a phase shift to one electron wave such that the phase difference in the BFP reaches it's optimum value of $\pi/2$ at the maximum of the intensity distribution in the BFP. + +\textbf{\scshape Definition}: quality parameter $U$ and weighting function $\Upsilon$: +\begin{eqnarray} +\label{eqn_usignal} +U &=& \frac{\int\limits_{-\infty}^\infty\Upsilon(X)|\psi_{BFP}(X,\,0)|^2\,\mathrm{d}X}{\int\limits_{-\infty}^\infty|\psi_{BFP}(X,\,0)|^2\,\mathrm{d}X} \nonumber\\ +\label{eqn_upsilon_1} +\Upsilon(X) &=& 2\,\mathrm{sgn}\left(\Delta\phi(X)\right)\left|\left(\frac{\Delta\phi(X)}{\pi}+\frac{1}{2}\right)\mathrm{mod}\,1-\frac{1}{2}\right| \nonumber\\ +\label{eqn_sn} +\mathrm{S/N} &=& \frac{\int\limits_a^b|\psi_{BFP}(X,\,0)|^2\,\mathrm{d}X}{\int\limits_{-\infty}^\infty|\psi_{BFP}(X,\,0)|^2\,\mathrm{d}X},\;[a,\,b]: \mathrm{FWHM} \nonumber +\end{eqnarray} + +\begin{itemize} +\item $U$: coarse measure for percentage of intensity with phase difference $= \pi/2$ , +\item S/N: ratio between intensity within FWHM and total intensity, +\item $\Upsilon$: zigzag weighting function (see fig. \ref{fig_upsilon}) defined to fulfill: + +\begin{equation} +\Upsilon(X) = \left\{\begin{array}{rcl} +\pm1 &\mathrm{for}& \Delta\phi(X) = \pm\frac{\pi}{2} \\ +0 &\mathrm{for}& \Delta\phi(X) = i\pi,\;i=0,\,\pm1 \\ +\end{array}\right. .\nonumber +\end{equation} +\end{itemize} + +\textbf{\scshape Optimum Parameter Set}: determined by brute-force method +\begin{itemize} +\item numerical calculation: $U$, FWHM and S/N for each parameter set, +\item saving results in MySQL database $\to$ graphical evaluation: fig. \ref{fig_sql_1} and \ref{fig_sql_2} +\item[$\Rightarrow$] \textbf{aperture}: maximum radius and minimum spacing +%(see fig. \ref{fig_linescan}) +\item[$\Rightarrow$] chosen parameters: Radius = $28.5\mu$m, Spacing = $60.7\mu$m, Phase shift = $0.57\pi$ +\end{itemize} + +\begin{figure}[h] +\begin{center} +\includegraphics[width=\textwidth]{poster_upsilon.png} +\end{center} +\caption{weighting function $\Upsilon$ (for legend see fig. \ref{fig_linescan})} +\label{fig_upsilon} +\end{figure} + +%whereby $J_1$ is the Bessel function, $\Delta\phi$ is the phase difference between two electron waves in the diffraction plane, $X$ is an coordinate in that plane, $d_{1,2}$ are the spacings of the apertures' centers from the optical axis, $R$ is the aperture radius, $\lambda$ is the electron wave length, $f$ is the focal length of the lens and $\varphi$ is the phase shift due to a phase plate. + +\begin{figure}[hbt] +\label{fig_sql_1} +%\includegraphics[width=.8\textwidth]{poster_sql_u.png} +\includegraphics[width=\textwidth]{poster_usignal_2.png} +\caption{evaluation -- $U$} +\end{figure} + +\begin{figure}[hbt] +%\includegraphics[width=.8\textwidth]{poster_sql_sn.png} +\includegraphics[width=\textwidth]{poster_sn_2.png} +\caption{evaluation -- Signal/Noise (for legend see fig. \ref{fig_sql_1})} +\label{fig_sql_2} +\end{figure} + +%The data sets generated in this way are stored in a MySQL database and are plotted in dependence of the spacing between the apertures in figures \ref{fig_sql_1} and \ref{fig_sql_2}. Figure \ref{fig_sql_1} shows the dependence of the quantity $\mathfrak{U}$ and figure \ref{fig_sql_2} the dependence of the S/N ratio for different aperture radii (7, 11, 17, 21 and 27 $\mu$m) on the aperture spacing. + +%These results suggest the use of large aperture radii but small aperture spacings. According to that the parameters given in the legend of figure \ref{fig_linescan} (Radius: 28$\mu$m, Spacing: 62$\mu$m) were chosen further regarding the available area on the used SiN membrane for production of a twin aperture. + +\section{Experiments} +\textbf{\scshape Production}: electron lithography +\begin{itemize} +\item holes in SiN membrane (100$\mu$m$\times$100$\mu$m) +\item evaporation of gold +\end{itemize} + +\textbf{\scshape STEM}: operation with condenser twin aperture +\begin{itemize} +\item sample: gold particles on a carbon foil. +\item comparison: conventional aperture $\leftrightarrow$ twin aperture +\item[$\Rightarrow$] no influence on image quality +\end{itemize} + +\begin{figure}[hbt] +\label{fig_goldstem} +\subfigure[twin aperture]{\label{fig_goldstem_a} +%\includegraphics[width=.475\textwidth]{gold_einzel_50k.png} +\includegraphics[width=.45\textwidth]{8061-5png.png}} +\subfigure[STEM image]{\label{fig_goldstem_b}\includegraphics[width=.45\textwidth]{gold_twin_50k.png}} +\caption{twin aperture (w/o phase plate) \& STEM image of gold particles using twin aperture.} +\end{figure} + +%Figure \ref{fig_goldstem} shows images observed in STEM-mode with the CM30 at a magnification of $5\cdot10^4$. By means of red arrows two particles are marked in both figures. Figure \ref{fig_goldstem}(a) shows the image obtained with an einzel aperture and \ref{fig_goldstem}(b) the image obtained using the twin aperture. + +%As one can see the use of a twin aperture has no apparent negative influence on image quality. + +\section{Outlook} +\begin{multicols}{2} +\textbf{\scshape Electron Lithography}: phase plate +\begin{itemize} +\item negative resist PMMA\cite{pmma} +\item[$\Rightarrow$] deposition of gold $\to$ annular electrode +\item deposition of insulating layers and gold overlays +\end{itemize} +\textbf{\scshape EMCD}: record spectra in +\begin{itemize} +\item diffraction mode +\item STEM-mode +\end{itemize} +\end{multicols} + +\begin{multicols}{2} +\tiny +\bibliographystyle{plain} +\bibliography{literature} +\end{multicols} + +\end{multicols} +\end{document} + +% \documentclass[a2,landscape]{a0poster} +% +% \usepackage{multicol} +% \columnsep=100pt +% \columnseprule=3pt +% +% \usepackage[svgnames]{xcolor} +% +% \usepackage{times} % Times New Roman +% \usepackage{graphicx} % Required for including images +% \graphicspath{{figs/}} % Location of the graphics files +% \usepackage{booktabs} % Top and bottom rules for table +% \usepackage[font=small,labelfont=bf]{caption} % Required for specifying captions to tables and figures +% \usepackage{amsfonts, amsmath, amsthm, amssymb} % For math fonts, symbols and environments +% \usepackage{wrapfig} % Allows wrapping text around tables and figures +% +% \usepackage[english,ngerman]{babel} +% \usepackage[utf8]{inputenc} +% +% \begin{document} +% +% % Header | 55% | 25% | 19% | +% +% \begin{minipage}[b]{0.45\linewidth} +% \veryHuge \color{NavyBlue} \textbf{Galaxy Generation} \color{Black}\\ % Title +% \Huge\textit{Visualizierung und Generierung von Galaxien}\\[1cm] % Subtitle +% \huge \textbf{Emile Hansmaennel}\\ % Author(s) +% \huge Theodor Fliedner Gymnasium\\ % University/organization +% \end{minipage} +% % +% \begin{minipage}[b]{0.35\linewidth} +% \includegraphics[height=7.5cm]{logos} +% \vspace{5cm} +% \end{minipage} +% % +% \begin{minipage}[b]{0.19\linewidth} +% \includegraphics[height=15cm]{galaxy} % Logo or a photo of you, adjust its dimensions here +% \end{minipage} +% +% \vspace{1cm} % A bit of extra whitespace between the header and poster content +% +% %---------------------------------------------------------------------------------------- +% +% \begin{multicols}{4} % This is how many columns your poster will be broken into, a poster with many figures may benefit from less columns whereas a text-heavy poster benefits from more +% +% %---------------------------------------------------------------------------------------- +% % ABSTRACT +% %---------------------------------------------------------------------------------------- +% +% \color{Navy} % Navy color for the abstract +% +% \begin{abstract} +% +% Das Ziel meines Projektes ist es, Realitätsgetreue Galaxien und Dunkle Materie +% Halos zu generieren. +% Hierzu verwende ich das sogenannte ''Navarro-Frenk-White'' Profil welches in +% Kombination mit der ''Random Sampling'' Methode die Dichteverteilung +% der Sternenpositionen in Koordinaten für einzelne Sterne umgewandelt. +% \par +% Vergleicht man die generierten Galaxien mit echten Galaxien fällt auf das +% die Sterne sich anders verhalten. Dies lässt sich durch Dunkle Materie erklären, +% welche man jedoch nicht direkt beobachten kann. Es kann also +% nur aufgrund ihrer Auswirkungen auf andere Objekte auf sie geschlossen werden, +% weshalb es nicht ganz Trivial ist sie sichtbar darzustellen. +% \par +% Im Verlauf des Projektes haben sich mir jedoch auch andere Teilbereiche +% eröffnet wie z. B. die Generation von Spiralgalaxien, die Optimierung von +% Rechenprozessen und die Nutzung von einem neuronalen Netz zur Anpassung der +% generierten Galaxie an eine reale Galaxie. +% +% \end{abstract} +% +% %---------------------------------------------------------------------------------------- +% % INTRODUCTION +% %---------------------------------------------------------------------------------------- +% +% \color{SaddleBrown} % SaddleBrown color for the introduction +% +% \section*{Einleitung} +% +% Das Hauptziel des Projektes war es, Galaxien dreidimensional darzustellen um +% diese mit echten Galaxien vergleichen zu können. Dies ist vorallem interessant, +% um echte real vorhandene Galaxien zu untersuchen, da man diese nur aus einer +% Perspektive beobachten kann (von der Erde aus). +% \par +% Dazu verwendete ich die sogennante Random-Sampling-Methode um aus einer +% Warscheinlichkeitsverteilung (dem Narvarro-Frenk-White Profil) Koordinaten +% zu generieren. +% \par +% Ein wichtiger Aspekt der beim generieren von Galaxien ist die Effizienz des +% verwendeten Programms extrem stark zu erhöhen, sodass in einer vergleichsweisen +% geringen Zeit, z.B. sehr viele Sterne generiert werden können. Um dies zu +% erreichen können sehr viele verschieden Ansätze mit eingebracht werden wie +% zum Beispiel die nutzung von mehreren sogennanten "Threads`` zum parralellisieren +% der Rechenarbeit. +% \par +% Um die genauigkeit der generierten galaxie im vergleich zu echten galaxien +% zu erhöhen, können Neuronale Netze verwendet werden. Diese beanspruchen jedoch +% sehr viel Rechenarbeit weshalb sich ihre nutzung erst in ein paar Jahren +% lohnen wird. +% \par +% Das Generieren von Spiralgalaxien führt ebenfalls zu einem Problem: der +% Rechenaufwand steigt mit der Anzahl der Sterne proportional exponentiall an. +% Die Lösung dieses Problems führt zu einer unterteilung der Galaxie in +% verschiedene Zellen, in denen die Kräfte gemittelt werden und anschließend mit +% den anderen Zellen interagieren. +% +% %---------------------------------------------------------------------------------------- +% % OBJECTIVES +% %---------------------------------------------------------------------------------------- +% +% \color{DarkSlateGray} % DarkSlateGray color for the rest of the content +% +% \section*{Hauptziele} +% +% \begin{enumerate} +% \item Generieren von Elliptischen Punktwolken mithilfe des Narvarro-Frenk-White +% profils in verbindung mit der Random-Sampling Methode +% +% \item Verbesserung des Generierungsprozesses mithilfe von "Threadding`` +% +% \item Generierund von Dunkle-Materie-Halos +% +% \item Nutzung von Neuronalen Netzen zum unbeaufsichtigten generieren von +% Galaxien +% \end{enumerate} +% +% %---------------------------------------------------------------------------------------- +% % MATERIALS AND METHODS +% %---------------------------------------------------------------------------------------- +% +% \section*{Materialien und Methoden} +% +% Die verwendete Hardware die zum erstellen der Skripte wervendet wurde war ein +% Acer Laptop mit 2 Rechenkernen welche jeweils 2 Threads enthalten und mit bis +% zu 3,1 GHZ Takten. Die Simulationen wurden während des Praktikums in Heidelberg +% auf dem Laptop im kleinen stil getestet und anschließen auf einem Cluster marke +% eigenbau über einen längeren Zeitraum laufen gelassen. Im Cluster befanden sich +% ca. 14 Rechner mit wahlweise 4 oder 6 Kernen welche ebenfalls alle +% Hyperthreading unterstützten. Nach dem Praktikum verwendete ich zum großteil +% den Laptop und einen Server der mir von einem Freund gestellt wurde. Dieser +% verfüht über 2 mal 6 Kerne die ebenfalls Hyperthreading unterstützen was zu +% 24 logischen Prozessoren mit einer Taktrate von 2,5 GHZ führt. +% +% \par +% +% Zum generieren der Punktwolken verwendete ich das NFW-Profile in kombination +% mit der Random Sampling Methode wodurch die potentielle Koordinaten von Sternen +% entweder akzepriert oder verworfen wurden. Die Koordinated wurden in einer +% .csv Datei gespeichert welche von einem anderem Script weiterverwendet wurde um +% die Sterne in der 3D-Software Suite Blender darzustellen. +% Die Generierung von Spiralgalaxien ist (zurzeit) zu anspruchsvoll, weshalb die +% Daten aus der Punktwolke nicht genutzt werden können, da die quantitative Menge +% zu groß ist. Es wird deshalb eine andere Galaxie mit weniger Sternen generiert. +% +% %------------------------------------------------ +% +% \subsection*{Random Sampling des Narvarro Frenk White Profils} +% +% Das Navarro-Frenk-White Profile (NFW-Profile) wird dazu genutzt, einem Stern +% in einem Abstand \( r \) vom Mittelpunkt der Galaxie eine Warscheinlichkeit +% \( \rho(r) \) zuzuweisen. Diese Warscheinlichkeit ist in Abbildung +% \ref{fig:lookup_NFW} in abhängigkeit zur Entfernung des Mittelpunkt der Galaxie +% dargestellt. +% +% \begin{center}%\vspace{0.5cm} +% \begin{equation*} \label{eq:NFW_profile} +% \rho_{NFW}(r) = \frac{ 1 }{ \sqrt{ 2 \pi } \cdot \sigma } \cdot +% \exp \left( \frac{ -\phi(r) }{ \sigma^{ 2 } } \right) +% \end{equation*} +% +% \begin{equation*} +% \phi(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*} +% \end{center}%\vspace{0.5cm} +% +% \begin{center}\vspace{0.5cm} +% \includegraphics[width=0\linewidth]{1e6_6} +% \captionof{figure}{Das Navarro-Frenk-White Profile} +% \label{fig:equation_NFW} +% \end{center}\vspace{0.5cm} +% +% \begin{center}\vspace{0.5cm} +% \includegraphics[width=0.8\linewidth]{1e6_6} +% \captionof{figure}{Der Entsprechende Funktionsgraph zum NFW-Profile} +% \label{fig:lookup_NFW} +% \end{center}\vspace{0.5cm} +% +% \section*{Ergebnisse} +% +% \section*{Feststellungen} +% +% \begin{itemize} +% +% \item Pellentesque\cite{stickley} eget orci eros. Fusce ultricies, tellus et pellentesque +% fringilla, ante massa luctus libero, quis tristique purus urna nec nibh. +% Phasellus fermentum rutrum elementum. Nam quis justo lectus. +% +% \item Vestibulum\cite{schwarzmeier07} sem ante, hendrerit a gravida ac, blandit quis magna. +% +% \item Donec sem metus, figureacilisis at condimentum eget, vehicula ut massa. Morbi +% consequat, diam sed convallis tincidunt, arcu nunc. +% +% \item Nunc at convallis urna. isus ante. Pellentesque condimentum dui. Etiam +% sagittis purus non tellus tempor volutpat. Donec et dui non massa tristique adipiscing. +% +% \end{itemize} +% +% \section*{Zukunft} +% +% \nocite{*} % Print all references regardless of whether they were cited in the poster or not +% \bibliographystyle{plain} % Plain referencing style +% \bibliography{poster} % Citation database is inside poster.bib +% +% \section*{Danksagungen} +% +% Hier möchte ich mich bei Tim Tugendhat und Konstantin Bosbach bedanken ohne die +% das Praktikum in Heidelberg nicht möglich gewesen wäre. +% +% \end{multicols} +% \end{document} diff --git a/pres/presentation/presentation.aux b/pres/presentation/presentation.aux new file mode 100644 index 0000000..909833b --- /dev/null +++ b/pres/presentation/presentation.aux @@ -0,0 +1,83 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} 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269) + defining Unicode char U+010E (decimal 270) + defining Unicode char U+010F (decimal 271) + defining Unicode char U+0110 (decimal 272) + defining Unicode char U+0111 (decimal 273) + defining Unicode char U+0112 (decimal 274) + defining Unicode char U+0113 (decimal 275) + defining Unicode char U+0114 (decimal 276) + defining Unicode char U+0115 (decimal 277) + defining Unicode char U+0116 (decimal 278) + defining Unicode char U+0117 (decimal 279) + defining Unicode char U+0118 (decimal 280) + defining Unicode char U+0119 (decimal 281) + defining Unicode char U+011A (decimal 282) + defining Unicode char U+011B (decimal 283) + defining Unicode char U+011C (decimal 284) + defining Unicode char U+011D (decimal 285) + defining Unicode char U+011E (decimal 286) + defining Unicode char U+011F (decimal 287) + defining Unicode char U+0120 (decimal 288) + defining Unicode char U+0121 (decimal 289) + defining Unicode char U+0122 (decimal 290) + defining Unicode char U+0123 (decimal 291) + defining Unicode char U+0124 (decimal 292) + defining Unicode char U+0125 (decimal 293) + defining Unicode char U+0128 (decimal 296) + defining Unicode char U+0129 (decimal 297) + defining Unicode char U+012A (decimal 298) + defining Unicode char U+012B (decimal 299) + defining Unicode char U+012C (decimal 300) + defining Unicode char U+012D (decimal 301) + defining Unicode char U+012E (decimal 302) + defining Unicode char U+012F (decimal 303) + defining Unicode char U+0130 (decimal 304) + defining Unicode char U+0131 (decimal 305) + defining Unicode char U+0132 (decimal 306) + defining Unicode char U+0133 (decimal 307) + defining Unicode char U+0134 (decimal 308) + defining Unicode char U+0135 (decimal 309) + defining Unicode char U+0136 (decimal 310) + defining Unicode char U+0137 (decimal 311) + defining Unicode char U+0139 (decimal 313) + defining Unicode char U+013A (decimal 314) + defining Unicode char U+013B (decimal 315) + defining Unicode char U+013C (decimal 316) + defining Unicode char U+013D (decimal 317) + defining Unicode char U+013E (decimal 318) + defining Unicode char U+0141 (decimal 321) + defining Unicode char U+0142 (decimal 322) + defining Unicode char U+0143 (decimal 323) + defining Unicode char U+0144 (decimal 324) + defining Unicode char U+0145 (decimal 325) + defining Unicode char U+0146 (decimal 326) + defining Unicode char U+0147 (decimal 327) + defining Unicode char U+0148 (decimal 328) + defining Unicode char U+014A (decimal 330) + defining Unicode char U+014B (decimal 331) + defining Unicode char U+014C (decimal 332) + defining Unicode char U+014D (decimal 333) + defining Unicode char U+014E (decimal 334) + defining Unicode char U+014F (decimal 335) + defining Unicode char U+0150 (decimal 336) + defining Unicode char U+0151 (decimal 337) + defining Unicode char U+0152 (decimal 338) + defining Unicode char U+0153 (decimal 339) + defining Unicode char U+0154 (decimal 340) + defining Unicode char U+0155 (decimal 341) + defining Unicode char U+0156 (decimal 342) + defining Unicode char U+0157 (decimal 343) + defining Unicode char U+0158 (decimal 344) + defining Unicode char U+0159 (decimal 345) + defining Unicode char U+015A (decimal 346) + defining Unicode char U+015B (decimal 347) + defining Unicode char U+015C (decimal 348) + defining Unicode char U+015D (decimal 349) + defining Unicode char U+015E (decimal 350) + defining Unicode char U+015F (decimal 351) + defining Unicode char U+0160 (decimal 352) + defining Unicode char U+0161 (decimal 353) + defining Unicode char U+0162 (decimal 354) + defining Unicode char U+0163 (decimal 355) + defining Unicode char U+0164 (decimal 356) + defining Unicode char U+0165 (decimal 357) + defining Unicode char U+0168 (decimal 360) + defining Unicode char U+0169 (decimal 361) + defining Unicode char U+016A (decimal 362) + defining Unicode char U+016B (decimal 363) + defining Unicode char U+016C (decimal 364) + defining Unicode char U+016D (decimal 365) + defining Unicode char U+016E (decimal 366) + defining Unicode char U+016F (decimal 367) + defining Unicode char U+0170 (decimal 368) + defining Unicode char U+0171 (decimal 369) + defining Unicode char U+0172 (decimal 370) + defining Unicode char U+0173 (decimal 371) + defining Unicode char U+0174 (decimal 372) + defining Unicode char U+0175 (decimal 373) + defining Unicode char U+0176 (decimal 374) + defining Unicode char U+0177 (decimal 375) + defining Unicode char U+0178 (decimal 376) + defining Unicode char U+0179 (decimal 377) + defining Unicode char U+017A (decimal 378) + defining Unicode char U+017B (decimal 379) + defining Unicode char U+017C (decimal 380) + defining Unicode char U+017D (decimal 381) + defining Unicode char U+017E (decimal 382) + defining Unicode char U+01CD (decimal 461) + defining Unicode char U+01CE (decimal 462) + defining Unicode char U+01CF (decimal 463) + defining Unicode char U+01D0 (decimal 464) + defining Unicode char U+01D1 (decimal 465) + defining Unicode char U+01D2 (decimal 466) + defining Unicode char U+01D3 (decimal 467) + defining Unicode char U+01D4 (decimal 468) + defining Unicode char U+01E2 (decimal 482) + defining Unicode char U+01E3 (decimal 483) + defining Unicode char U+01E6 (decimal 486) + defining Unicode char U+01E7 (decimal 487) + defining Unicode char U+01E8 (decimal 488) + defining Unicode char U+01E9 (decimal 489) + defining Unicode char U+01EA (decimal 490) + defining Unicode char U+01EB (decimal 491) + defining Unicode char U+01F0 (decimal 496) + defining Unicode char U+01F4 (decimal 500) + defining Unicode char U+01F5 (decimal 501) + defining Unicode char U+0218 (decimal 536) + defining Unicode char U+0219 (decimal 537) + defining Unicode char U+021A (decimal 538) + defining Unicode char U+021B (decimal 539) + defining Unicode char U+0232 (decimal 562) + defining Unicode char U+0233 (decimal 563) + defining Unicode char U+1E02 (decimal 7682) + defining Unicode char U+1E03 (decimal 7683) + defining Unicode char U+200C (decimal 8204) + defining Unicode char U+2010 (decimal 8208) + defining Unicode char U+2011 (decimal 8209) + defining Unicode char U+2012 (decimal 8210) + defining Unicode char U+2013 (decimal 8211) + defining Unicode char U+2014 (decimal 8212) + defining Unicode char U+2015 (decimal 8213) + defining Unicode char U+2018 (decimal 8216) + defining Unicode char U+2019 (decimal 8217) + defining Unicode char U+201A (decimal 8218) + defining Unicode char U+201C (decimal 8220) + defining Unicode char U+201D (decimal 8221) + defining Unicode char U+201E (decimal 8222) + defining Unicode char U+2030 (decimal 8240) + defining Unicode char U+2031 (decimal 8241) + defining Unicode char U+2039 (decimal 8249) + defining Unicode char U+203A (decimal 8250) + defining Unicode char U+2423 (decimal 9251) + defining Unicode char U+1E20 (decimal 7712) + defining Unicode char U+1E21 (decimal 7713) +) +Now handling font encoding OT1 ... +... processing UTF-8 mapping file for font encoding OT1 + 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b/pres/presentation/presentation.synctex.gz Binary files differdiff --git a/pres/presentation/presentation.tex b/pres/presentation/presentation.tex new file mode 100644 index 0000000..c51a7d3 --- /dev/null +++ b/pres/presentation/presentation.tex @@ -0,0 +1,138 @@ +\documentclass[aspectratio=169]{beamer} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} + +\usetheme{Singapore} + +\title{Galaxy Generation} +\subtitle{Jugend Forscht 2018} +\author{Emile Hansmaennel} +\institute{Theodor Fliedner Gymnasium} +\date{\today} + + +\begin{document} + \begin{frame} + \titlepage + \end{frame} + + \begin{frame} + \tableofcontents + \end{frame} + + \section{Point Cloud} + \subsection{Random generation of points} + + \begin{frame} + \frametitle{Generating an evenly distributed point-cloud} + + \begin{itemize} + \item numpy + \end{itemize} + + \end{frame} + + \subsection{Random-Sampling with the NFW-profile} + + \begin{frame} + \frametitle{Random Sampling} + + \begin{itemize} + \item Generate a random value in a range \( [r_{min};r_{max}] \) + \item Find out if the value is bigger or smaller than the NFW value + \end{itemize} + + \end{frame} + + \begin{frame} + \frametitle{The NFW-Profile} + + \begin{itemize} + \item Returns a probability for a star to get generated + \end{itemize} + + [insert nfw-distance function image] + \end{frame} + + \subsection{Saving the stars} + + \begin{frame} + \frametitle{Using the .csv file format} + + \begin{itemize} + \item How do I use the csv format? + \end{itemize} + \end{frame} + + \section{Forces} + \subsection{Generating a grid for subdividing the galaxy into cells} + + \begin{frame} + \frametitle{Generating a grid for subdividing the galaxy} + + \begin{itemize} + \item insert grid image without the spheres + \item problem (threshold) + \end{itemize} + \end{frame} + + \subsubsection{Generating the spheres} + + \begin{frame} + \frametitle{Generating the spheres on the vertices of the grid} + + \begin{equation} + r = \sqrt{1^2 + 1^2 + 1^2} + \end{equation} + + \begin{itemize} + \item insert grid image with the spheres + \item problem (threshold) + \end{itemize} + + \end{frame} + + \subsubsection{Finding out which star is in which spheres} + + \begin{frame} + \frametitle{Which Star is in which sphere?} + + \begin{itemize} + \item Method for finding this out + \end{itemize} + + \end{frame} + + \subsection{Calculate the forces acting inside of each sphere} + + \begin{frame} + \frametitle{Forces acting in each sphere} + + \begin{itemize} + \item cycle through all the stars in each sphere and calculate the forces + \end{itemize} + \end{frame} + + \subsubsection{Calculation the Forces acting between one star and the rest} + + \begin{frame} + \frametitle{Calculate the forces acting inbetween the individual stars + and the other stars} + + \begin{itemize} + \item DO EPIC THINGS! + \end{itemize} + \end{frame} + + \section{Extrapolation} + \subsection{Calculate where the stars are next} + + \begin{frame} + \frametitle{Where are the stars after n seconds?} + + \begin{itemize} + \item Force acting on star for n seconds equals a displacement of m + \end{itemize} + \end{frame} + +\end{document} diff --git a/pres/presentation/presentation.toc b/pres/presentation/presentation.toc new file mode 100644 index 0000000..b9040a6 --- /dev/null +++ b/pres/presentation/presentation.toc @@ -0,0 +1,12 @@ +\beamer@sectionintoc {1}{Point Cloud}{3}{0}{1} +\beamer@subsectionintoc {1}{1}{Random generation of points}{3}{0}{1} +\beamer@subsectionintoc {1}{2}{Random-Sampling with the NFW-profile}{4}{0}{1} +\beamer@subsectionintoc {1}{3}{Saving the stars}{6}{0}{1} +\beamer@sectionintoc {2}{Forces}{7}{0}{2} +\beamer@subsectionintoc {2}{1}{Generating a grid for subdividing the galaxy into cells}{7}{0}{2} +\beamer@subsubsectionintoc {2}{1}{1}{Generating the spheres}{8}{0}{2} +\beamer@subsubsectionintoc {2}{1}{2}{Finding out which star is in which spheres}{9}{0}{2} +\beamer@subsectionintoc {2}{2}{Calculate the forces acting inside of each sphere}{10}{0}{2} +\beamer@subsubsectionintoc {2}{2}{1}{Calculation the Forces acting between one star and the rest}{11}{0}{2} +\beamer@sectionintoc {3}{Extrapolation}{12}{0}{3} +\beamer@subsectionintoc {3}{1}{Calculate where the stars are next}{12}{0}{3} |
