about summary refs log tree commit diff
path: root/langfassung/master.aux
blob: 7ee3365c84be5694db54c55ea87092a875b9263d (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand*\new@tpo@label[2]{}
\catcode `"\active 
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\select@language{ngerman}
\@writefile{toc}{\select@language{ngerman}}
\@writefile{lof}{\select@language{ngerman}}
\@writefile{lot}{\select@language{ngerman}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \relax }}{1}{figure.caption.1}}
\@setckpt{docs/1_kurzfassung}{%
\setcounter{page}{1}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{1}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{0}
\setcounter{bookmark@seq@number}{0}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{1}
\setcounter{section@level}{0}
\setcounter{lstlisting}{0}
}
\@writefile{toc}{\contentsline {section}{\numberline {1}Einleitung}{3}{section.1}}
\newlabel{Einleitung}{{1}{3}{Einleitung}{section.1}{}}
\@auxtag{docs/2_einleitung}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen}{3}{subsection.1.1}}
}
\@auxtag{docs/2_einleitung}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Motivation}{3}{subsection.1.2}}
}
\@setckpt{docs/2_einleitung}{%
\setcounter{page}{3}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{2}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{1}
\setcounter{subsection}{2}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{1}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{2}
\setcounter{bookmark@seq@number}{3}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{1}
\setcounter{section@level}{2}
\setcounter{lstlisting}{0}
}
\@writefile{toc}{\contentsline {section}{\numberline {2}Hauptteil}{4}{section.2}}
\newlabel{Hauptteil}{{2}{4}{Hauptteil}{section.2}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Generierung von elliptischen Galaxien}{4}{subsection.2.1}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.1}Das Navarro-Frenk-White Profil}{4}{subsubsection.2.1.1}}
}
\newlabel{eq:NFW_profile}{{1}{4}{Das Navarro-Frenk-White Profil}{equation.2.1}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.2}Random Sampling}{4}{subsubsection.2.1.2}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }}{5}{figure.caption.3}}
}
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{fig:galaxy}{{2}{5}{Eine mit dem NFW-profil und der Random Sampling Methode generierte Galaxie\relax }{figure.caption.3}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces  Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen.   Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie   Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }}{5}{figure.caption.4}}
}
\newlabel{fig:rho}{{3}{5}{Die Rho Funktion im Intervall \( [~0~;~10^7 ~] \) geplottet mithilfe von Logarithmischen Achsen. \\ Die x-Achse beschreibt die Entfernung zum Mittelpunkt der Galaxie \\ Die y-Achse beschreibt die Warscheinlichkeit das ein Stern generiert wird \relax }{figure.caption.4}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.1.3}Lookup Tabellen}{6}{subsubsection.2.1.3}}
}
\newlabel{subsec:lookup}{{2.1.3}{6}{Lookup Tabellen}{subsubsection.2.1.3}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{6}{subsection.2.2}}
}
\newlabel{eq:dark_matter}{{3}{6}{Generierung eines Dunkle-Materie Halos durch Anpassung des NFW-Profils}{equation.2.3}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Stauchung und Streckung der Galaxie}{6}{subsection.2.3}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Rechenaufwand}{7}{subsection.2.4}}
}
\newlabel{subsec:big_o}{{2.4}{7}{Rechenaufwand}{subsection.2.4}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Beschleunigung der Generation}{7}{subsection.2.5}}
}
\newlabel{subsec:speeding_things_up}{{2.5}{7}{Beschleunigung der Generation}{subsection.2.5}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.1}Lookuptable}{7}{subsubsection.2.5.1}}
}
\newlabel{subsec:lookuptable}{{2.5.1}{7}{Lookuptable}{subsubsection.2.5.1}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.2}Mehr Rechenleistung!}{8}{subsubsection.2.5.2}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Amazon Web Services}{8}{section*.5}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.3}Nichts in der Konsole ausgeben}{8}{subsubsection.2.5.3}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.6}Nutzung eines neuronalen Netzes zum unbeaufsichtigten generieren von Galaxien}{8}{subsection.2.6}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.6.1}Aufbau des neuronalen Netzes}{8}{subsubsection.2.6.1}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Neuronen und Synapsen}{9}{section*.6}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.7}Spiralgalaxien}{10}{subsection.2.7}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.1}Das n-K\IeC {\"o}rper Problem}{10}{subsubsection.2.7.1}}
}
\newlabel{eq:n-body-2nd}{{10}{10}{Das n-Körper Problem}{equation.2.10}{}}
\newlabel{eq:hamilton}{{11}{10}{Das n-Körper Problem}{equation.2.11}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.2}Unterteilung des Vektorraumes in verschiedene Zellen}{11}{subsubsection.2.7.2}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.7.3}Berechnung der wirkenden Kr\IeC {\"a}fte}{11}{subsubsection.2.7.3}}
}
\newlabel{eq:gravitation_law}{{16}{11}{Berechnung der wirkenden Kräfte}{equation.2.16}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Masse der Sterne}{11}{section*.7}}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Abstand der Sterne}{11}{section*.8}}
}
\newlabel{eq:pytagoras}{{17}{11}{Abstand der Sterne}{equation.2.17}{}}
\@auxtag{docs/3_hauptteil}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {2.8}Weiteres}{11}{subsection.2.8}}
}
\@setckpt{docs/3_hauptteil}{%
\setcounter{page}{11}
\setcounter{equation}{17}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{3}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{2}
\setcounter{subsection}{8}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{4}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{3}
\setcounter{bookmark@seq@number}{22}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{15}
\setcounter{section@level}{2}
\setcounter{lstlisting}{0}
}
\@auxtag{docs/3_hauptteil}{%
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }}{12}{figure.caption.9}}
}
\newlabel{fig:spiralgalaxy}{{4}{12}{Eine Spiralgalaxie generiert mithilfe von Daten aus dem Max-Plank-Institut in Heidelberg\relax }{figure.caption.9}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Ergebnisse}{12}{section.3}}
\newlabel{ergebnisse}{{3}{12}{Ergebnisse}{section.3}{}}
\@auxtag{docs/4_ergebnisse}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulations Geschwindigkeit}{12}{subsection.3.1}}
}
\@auxtag{docs/4_ergebnisse}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Lookuptabellen Geschwindigkeit}{12}{subsection.3.2}}
}
\@auxtag{docs/4_ergebnisse}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Fazit}{12}{subsection.3.3}}
}
\@setckpt{docs/4_ergebnisse}{%
\setcounter{page}{13}
\setcounter{equation}{17}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{3}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{3}
\setcounter{subsection}{3}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{4}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{3}
\setcounter{bookmark@seq@number}{26}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{15}
\setcounter{section@level}{2}
\setcounter{lstlisting}{0}
}
\@writefile{toc}{\contentsline {section}{\numberline {4}Quellen und Hilfen}{14}{section.4}}
\newlabel{quellen}{{4}{14}{Quellen und Hilfen}{section.4}{}}
\@auxtag{docs/5_quellen}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Herrn J\IeC {\"o}rg Thar}{14}{section*.11}}
}
\@auxtag{docs/5_quellen}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tim Tugendhat}{14}{section*.12}}
}
\@auxtag{docs/5_quellen}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Konstantin Bosbach}{14}{section*.13}}
}
\@auxtag{docs/5_quellen}{%
\@writefile{toc}{\contentsline {paragraph}{\nonumberline Tilman Hoffbauer}{14}{section*.14}}
}
\@setckpt{docs/5_quellen}{%
\setcounter{page}{14}
\setcounter{equation}{17}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{3}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{4}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{4}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{3}
\setcounter{bookmark@seq@number}{27}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{15}
\setcounter{section@level}{4}
\setcounter{lstlisting}{0}
}
\@writefile{toc}{\contentsline {section}{\numberline {5}Nach der Abgabe...}{15}{section.5}}
\newlabel{nach_der_abgabe}{{5}{15}{Nach der Abgabe..}{section.5}{}}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Spiralgalaxies}{15}{subsection.5.1}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Using Object Oriented Programming (OOP) techniques}{15}{subsection.5.2}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.1}Initialisation}{15}{subsubsection.5.2.1}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Generation of new stars}{15}{subsection.5.3}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.4}Printing all the coordinates}{15}{subsection.5.4}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5}Calculating the Forces acting between the Stars}{15}{subsection.5.5}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.6}Calculating the forces acting between each star in the galaxy and each other star}{16}{subsection.5.6}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.7}Printing all the individual forces}{16}{subsection.5.7}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8}Spherical cells}{16}{subsection.5.8}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.1}Testing if a point is inside or outside a sphere}{16}{subsubsection.5.8.1}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.2}Testing if a star is inside or outside of a sphere for a whole galaxy}{16}{subsubsection.5.8.2}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.3}Generate the position of the spheres}{16}{subsubsection.5.8.3}}
}
\newlabel{sphere_distance}{{20}{16}{Generate the position of the spheres}{equation.5.20}{}}
\@auxtag{docs/6_abgabe}{%
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces The Alignment of the spheres  Left: The perfect alignment covering the complete space  Right: A previously generated alignment using small spheres to cover the missing space \relax }}{17}{figure.caption.15}}
}
\newlabel{sphere_alignment}{{5}{17}{The Alignment of the spheres\\ Left: The perfect alignment covering the complete space\\ Right: A previously generated alignment using small spheres to cover the missing space \relax }{figure.caption.15}{}}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.4}The radius of the spheres}{17}{subsubsection.5.8.4}}
}
\newlabel{sphere_radius}{{21}{17}{The radius of the spheres}{equation.5.21}{}}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.5}Calculate the forces acting on the spheres}{17}{subsubsection.5.8.5}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.6}Calculate the forces acting on all the spheres together}{18}{subsubsection.5.8.6}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.8.7}Benchmarks}{18}{subsubsection.5.8.7}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.9}Calculate the Position of a Star after a timestep}{18}{subsection.5.9}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.10}Notes}{18}{subsection.5.10}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.11}exec.py}{19}{subsection.5.11}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.1}Importing the galaxytools}{19}{subsubsection.5.11.1}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.2}Generate a new galaxy}{19}{subsubsection.5.11.2}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.3}Generate new stars in the galaxy}{19}{subsubsection.5.11.3}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.4}Print the coordinates of every star in the galaxy relative to the origin}{19}{subsubsection.5.11.4}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.5}Calculate the forces acting inbetween all the stars in the galaxy}{19}{subsubsection.5.11.5}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.6}Print the individual forces acting on the stars}{19}{subsubsection.5.11.6}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.7}Generate the coordinates of the positions for the spheres}{20}{subsubsection.5.11.7}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.11.8}Calculate the forces after 1 time step}{20}{subsubsection.5.11.8}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.12}galaxytools.py}{20}{subsection.5.12}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.1}Importing important libraries}{20}{subsubsection.5.12.1}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.2}Generating the new\_galaxy class}{20}{subsubsection.5.12.2}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.3}Initialisation}{20}{subsubsection.5.12.3}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.4}Generating new stars}{21}{subsubsection.5.12.4}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.5}Print out all the star coordinates}{21}{subsubsection.5.12.5}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.6}Calculate the forces acting inbetween two stars}{22}{subsubsection.5.12.6}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.7}Calculate all the forces acting in the galaxy}{22}{subsubsection.5.12.7}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.8}Print the individual forces acting on one star}{23}{subsubsection.5.12.8}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.9}Find out if a star is inside one sphere}{24}{subsubsection.5.12.9}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.10}Find out which star in in which spheres}{25}{subsubsection.5.12.10}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.11}Generate the sphere positions}{26}{subsubsection.5.12.11}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.12}Calculate the forces acting inside the sphere}{26}{subsubsection.5.12.12}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.12.13}calculate the forces acting in every sphere}{26}{subsubsection.5.12.13}}
}
\@auxtag{docs/6_abgabe}{%
\@writefile{toc}{\contentsline {subsection}{\numberline {5.13}GAN}{27}{subsection.5.13}}
}
\@setckpt{docs/6_abgabe}{%
\setcounter{page}{27}
\setcounter{equation}{22}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{3}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{5}
\setcounter{subsection}{13}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{5}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{3}
\setcounter{bookmark@seq@number}{70}
\setcounter{IncludeDepth}{0}
\setcounter{ContinuedFloat}{0}
\setcounter{lstnumber}{15}
\setcounter{section@level}{2}
\setcounter{lstlisting}{0}
}
\global\@namedef{scr@dte@section@lastmaxnumwidth}{9.89993pt}
\global\@namedef{scr@dte@subsection@lastmaxnumwidth}{21.7777pt}
\global\@namedef{scr@dte@subsubsection@lastmaxnumwidth}{34.55545pt}