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ofshex dumpascii
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1a00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1aa0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ac0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ae0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ba0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1bc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1be0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ca0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1cc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ce0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1da0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1dc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1de0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ea0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ec0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ee0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fa0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fe0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
2000 61 64 00 00 57 04 00 00 3b 05 00 00 00 10 00 00 32 00 00 00 00 00 00 00 eb 0f 00 00 ea 0f 00 00 ad..W...;.......2...............
2020 c1 0f 00 00 72 0f 00 00 29 0f 00 00 f2 0e 00 00 f1 0e 00 00 9f 0e 00 00 55 0e 00 00 09 0e 00 00 ....r...)...............U.......
2040 f8 0d 00 00 f7 0d 00 00 a3 0d 00 00 54 0d 00 00 3e 0d 00 00 3d 0d 00 00 ed 0c 00 00 a1 0c 00 00 ............T...>...=...........
2060 50 0c 00 00 ff 0b 00 00 af 0b 00 00 63 0b 00 00 14 0b 00 00 c3 0a 00 00 71 0a 00 00 3a 0a 00 00 P...........c...........q...:...
2080 39 0a 00 00 eb 09 00 00 98 09 00 00 45 09 00 00 fa 08 00 00 aa 08 00 00 5b 08 00 00 15 08 00 00 9...........E...........[.......
20a0 cc 07 00 00 7d 07 00 00 50 07 00 00 4f 07 00 00 39 07 00 00 38 07 00 00 37 07 00 00 12 07 00 00 ....}...P...O...9...8...7.......
20c0 c7 06 00 00 76 06 00 00 28 06 00 00 21 06 00 00 20 06 00 00 d3 05 00 00 86 05 00 00 3b 05 00 00 ....v...(...!...............;...
20e0 2c 05 00 00 f2 04 00 00 e1 04 00 00 e0 04 00 00 d8 04 00 00 8c 04 00 00 41 04 00 00 40 04 00 00 ,.......................A...@...
2100 31 04 00 00 f3 03 00 00 ac 03 00 00 9b 03 00 00 9a 03 00 00 6d 03 00 00 21 03 00 00 fc 02 00 00 1...................m...!.......
2120 fb 02 00 00 fa 02 00 00 1d 02 00 00 d6 01 00 00 88 01 00 00 87 01 00 00 00 00 00 00 00 00 00 00 ................................
2140 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
2160 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
2180 00 00 00 00 00 00 00 00 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 ........anderem.dann,.wenn.der.A
21a0 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 bstand.zwischen.den.Sternen.so.g
21c0 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 64 69 65 00 64 65 72 61 6e 64 65 72 65 6d 20 64 61 ro...wird,.das.die.deranderem.da
21e0 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 nn,.wenn.der.Abstand.zwischen.de
2200 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 61 6e 64 n.Sternen.so.gro...wird,.das.and
2220 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 erem.dann,.wenn.der.Abstand.zwis
2240 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 chen.den.Sternen.so.gro...wird,.
2260 64 61 73 20 64 69 65 00 64 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 das.die.danderem.dann,.wenn.der.
2280 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 Abstand.zwischen.den.Sternen.so.
22a0 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 64 69 65 00 64 65 72 20 4b 61 6e 64 65 72 65 6d gro...wird,.das.die.der.Kanderem
22c0 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e .dann,.wenn.der.Abstand.zwischen
22e0 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 61 61 61 6e 64 65 .den.Sternen.so.gro...wirdaaande
2300 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 rem.dann,.wenn.der.Abstand.zwisc
2320 68 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 handerem.dann,.wenn.der.Abstand.
2340 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 zwischen.den.Sternen.so.gro...wi
2360 72 64 2c 20 64 61 73 20 64 69 65 00 64 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 rd,.das.die.danderem.dann,.wenn.
2380 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 61 61 6e 64 65 72 der.Abstand.zwischen.den.Saander
23a0 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 em.dann,.wenanderem.dann,.wenn.d
23c0 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 er.Abstand.zwischen.den.Sternen.
23e0 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c so.gro...wird,.das.anderem.dann,
2400 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 .wenn.der.Abstand.zwischen.den.S
2420 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 ternen.so.gro...wanderem.dann,.w
2440 61 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 aanderem.dann,.wenn.der.Abstand.
2460 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 zwischen.den.Sternen.so.gro...wi
2480 72 64 2c 20 64 61 73 20 64 69 65 00 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 rd,.das.die.anderem.dann,.wenn.d
24a0 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 er.Abstand.zwischen.den.Sternen.
24c0 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 64 69 65 00 64 61 6e 64 65 72 65 6d 20 so.gro...wird,.das.die.danderem.
24e0 61 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 aanderem.dann,.wenanderem.dann,.
2500 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 wenn.der.Abstand.zwischen.den.St
2520 65 72 6e 65 6e 20 73 6f 20 67 72 6f 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 61 6e 64 65 72 ernen.so.groanderem.dann,.wander
2540 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 68 em.dann,.wenn.der.Abstand.zwisch
2560 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 61 en.den.Sternen.so.gro...wird,.da
2580 73 20 64 69 65 00 64 65 72 20 4b 72 61 66 74 20 65 6e 74 73 74 65 68 74 20 67 72 c3 b6 c3 9f 65 s.die.der.Kraft.entsteht.gr....e
25a0 72 20 61 6c 73 20 64 69 65 20 77 69 72 6b 65 6e 64 65 20 4b 72 61 66 74 20 77 69 72 64 2e 20 44 r.als.die.wirkende.Kraft.wird..D
25c0 69 65 73 20 70 61 73 73 69 65 72 74 20 75 6e 74 65 72 00 5c 70 61 72 20 45 73 20 6b 6f 6d 6d 74 ies.passiert.unter.\par.Es.kommt
25e0 20 7a 75 20 50 72 6f 62 6c 65 6d 65 6e 2c 20 77 65 6e 6e 20 64 65 72 20 6d 69 74 74 6c 65 72 65 .zu.Problemen,.wenn.der.mittlere
2600 20 46 65 68 6c 65 72 2c 20 64 65 72 20 62 65 69 20 64 65 72 20 42 65 72 65 63 68 6e 75 6e 67 00 .Fehler,.der.bei.der.Berechnung.
2620 00 6c 69 65 67 74 2e 00 64 65 72 20 41 6e 7a 61 68 6c 20 64 65 72 20 53 74 65 72 6e 65 20 73 74 .liegt..der.Anzahl.der.Sterne.st
2640 65 69 67 74 20 75 6e 64 20 73 6f 6d 69 74 20 69 6e 20 5c 28 20 4f 28 6e 20 5c 63 64 6f 74 20 28 eigt.und.somit.in.\(.O(n.\cdot.(
2660 6e 20 2d 20 31 29 29 20 5c 69 6e 20 4f 28 6e 5e 32 29 20 5c 29 00 6e c3 b6 74 69 67 65 6e 20 4b n.-.1)).\in.O(n^2).\).n..tigen.K
2680 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 77 6f 64 75 72 63 68 20 64 65 72 20 52 65 raft.Berechnungen.wodurch.der.Re
26a0 63 68 65 6e 61 75 66 77 61 6e 64 20 51 75 61 64 72 61 74 69 73 63 68 20 69 6e 20 52 65 6c 61 74 chenaufwand.Quadratisch.in.Relat
26c0 69 6f 6e 20 7a 75 00 57 69 65 20 62 65 72 65 69 74 73 20 62 65 73 63 68 72 69 65 62 65 6e 20 69 ion.zu.Wie.bereits.beschrieben.i
26e0 73 74 20 65 69 6e 65 73 20 64 65 72 20 50 72 6f 62 6c 65 6d 65 20 64 61 73 20 41 75 66 74 72 69 st.eines.der.Probleme.das.Auftri
2700 74 74 20 64 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 00 5c 73 75 62 73 75 62 73 65 63 74 69 6f 6e tt.die.Anzahl.der.\subsubsection
2720 7b 5a 75 20 6c c3 b6 73 65 6e 64 65 20 50 72 6f 62 6c 65 6d 65 7d 00 00 00 5c 73 75 62 73 65 63 {Zu.l..sende.Probleme}...\subsec
2740 74 69 6f 6e 7b 4b 6f 6e 7a 65 70 74 65 7d 00 00 64 69 65 20 46 6c 69 65 68 6b 72 61 66 74 20 73 tion{Konzepte}..die.Fliehkraft.s
2760 69 65 20 65 69 6e 66 61 63 68 20 61 75 73 65 69 6e 61 6e 64 65 72 7a 69 65 68 74 2e 00 65 78 70 ie.einfach.auseinanderzieht..exp
2780 6c 6f 64 69 65 72 74 20 73 69 65 20 66 c3 b6 72 6d 6c 69 63 68 2c 20 64 61 20 64 69 65 20 53 74 lodiert.sie.f..rmlich,.da.die.St
27a0 65 72 6e 65 20 6e 69 63 68 74 20 6d 65 68 72 20 7a 75 73 61 6d 6d 65 6e 67 65 68 61 6c 74 65 6e erne.nicht.mehr.zusammengehalten
27c0 20 77 65 72 64 65 6e 20 75 6e 64 00 4d 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 7a .werden.und.Massen.Mittelpunkt.z
27e0 69 65 68 74 20 61 75 73 2e 20 52 6f 74 69 65 72 74 20 6d 61 6e 20 64 69 65 20 47 61 6c 61 78 69 ieht.aus..Rotiert.man.die.Galaxi
2800 65 20 6a 65 64 6f 63 68 20 7a 75 20 73 63 68 6e 65 6c 6c 2c 00 67 6c 65 69 63 68 74 20 64 75 72 e.jedoch.zu.schnell,.gleicht.dur
2820 63 68 20 64 69 65 20 5a 65 6e 74 72 69 70 65 74 61 6c 6b 72 61 66 74 20 64 69 65 20 4b 72 61 66 ch.die.Zentripetalkraft.die.Kraf
2840 74 20 64 69 65 20 41 6c 6c 65 20 53 74 65 72 6e 65 20 52 69 63 68 74 75 6e 67 00 64 65 6e 20 4d t.die.Alle.Sterne.Richtung.den.M
2860 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 64 65 72 20 47 61 6c 61 78 69 65 20 64 65 assen.Mittelpunkt.der.Galaxie.de
2880 66 69 6e 69 65 72 74 2c 20 6d 61 6e 20 72 6f 74 69 65 72 74 20 61 6c 73 6f 20 64 69 65 20 47 61 finiert,.man.rotiert.also.die.Ga
28a0 6c 61 78 69 65 20 75 6e 64 00 41 6e 66 61 6e 67 73 20 4b 72 c3 a4 66 74 65 20 7a 75 20 77 69 72 laxie.und.Anfangs.Kr..fte.zu.wir
28c0 6b 65 6e 2e 20 44 69 65 73 65 20 4b 72 c3 a4 66 74 65 20 73 69 6e 64 20 64 75 72 63 68 20 64 69 ken..Diese.Kr..fte.sind.durch.di
28e0 65 20 52 6f 74 61 74 69 6f 6e 20 64 65 72 20 47 61 6c 61 78 69 65 20 75 6d 00 77 c3 bc 72 64 65 e.Rotation.der.Galaxie.um.w..rde
2900 20 73 6f 6d 69 74 20 69 6d 70 6c 6f 64 69 65 72 65 6e 2e 20 45 73 20 69 73 74 20 61 6c 73 6f 20 .somit.implodieren..Es.ist.also.
2920 6e c3 b6 74 69 67 20 61 75 66 20 64 69 65 20 53 74 65 72 6e 65 20 69 6e 20 64 65 72 20 47 61 6c n..tig.auf.die.Sterne.in.der.Gal
2940 61 78 69 65 00 77 69 72 6b 65 6e 2c 20 77 c3 bc 72 64 65 6e 20 61 6c 6c 65 20 4f 62 6a 65 6b 74 axie.wirken,.w..rden.alle.Objekt
2960 65 20 7a 75 6d 20 4d 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 67 65 7a 6f 67 65 6e e.zum.Massen.Mittelpunkt.gezogen
2980 20 77 65 72 64 65 6e 20 75 6e 64 20 64 69 65 20 47 61 6c 61 78 69 65 00 62 65 72 65 63 68 6e 65 .werden.und.die.Galaxie.berechne
29a0 74 20 6d 61 6e 20 6e 75 72 20 64 69 65 20 4b 72 c3 a4 66 74 65 20 64 69 65 20 61 75 66 20 72 75 t.man.nur.die.Kr..fte.die.auf.ru
29c0 68 65 6e 64 65 20 4f 62 6a 65 6b 74 65 20 69 6e 20 65 69 6e 65 6d 20 52 65 69 62 75 6e 67 73 66 hende.Objekte.in.einem.Reibungsf
29e0 72 65 69 65 6d 20 52 61 75 6d 00 5c 70 61 72 20 44 69 65 73 20 72 65 69 63 68 74 20 6a 65 64 6f reiem.Raum.\par.Dies.reicht.jedo
2a00 63 68 20 61 75 63 68 20 6e 69 63 68 74 20 75 6d 20 65 69 6e 65 20 60 60 73 74 61 62 69 6c 65 60 ch.auch.nicht.um.eine.``stabile`
2a20 60 20 47 61 6c 61 78 69 65 20 7a 75 20 67 65 6e 65 72 69 65 72 65 6e 3a 00 00 75 6d 20 69 6e 20 `.Galaxie.zu.generieren:..um.in.
2a40 65 69 6e 65 72 20 73 69 6e 6e 76 6f 6c 6c 65 6e 20 5a 65 69 74 20 61 6e 20 65 69 6e 20 45 72 67 einer.sinnvollen.Zeit.an.ein.Erg
2a60 65 62 6e 69 73 20 7a 75 20 6b 6f 6d 6d 65 6e 2e 00 64 61 73 73 20 64 69 65 20 41 6e 7a 61 68 6c ebnis.zu.kommen..dass.die.Anzahl
2a80 20 64 65 72 20 4b 72 c3 a4 66 74 65 20 64 69 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 .der.Kr..fte.die.berechnet.werde
2aa0 6e 20 6d c3 bc 73 73 65 6e 20 6d 69 6e 69 6d 69 65 72 74 20 77 65 72 64 65 6e 20 6d c3 bc 73 73 n.m..ssen.minimiert.werden.m..ss
2ac0 65 6e 00 65 69 6e 65 72 20 27 27 65 63 68 74 65 6e 27 27 20 47 61 6c 61 78 69 65 20 6d 69 74 20 en.einer.''echten''.Galaxie.mit.
2ae0 5c 28 20 3e 32 30 30 20 5c 63 64 6f 74 20 31 30 5e 36 20 5c 29 20 53 74 65 72 6e 65 6e 20 69 73 \(.>200.\cdot.10^6.\).Sternen.is
2b00 74 20 64 65 6d 6e 61 63 68 20 73 6f 20 67 72 6f c3 9f 2c 00 41 6e 7a 61 68 6c 20 64 65 72 20 4b t.demnach.so.gro..,.Anzahl.der.K
2b20 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 64 69 65 20 64 75 72 63 68 67 65 66 c3 bc raft.Berechnungen.die.durchgef..
2b40 68 72 74 20 77 65 72 64 65 6e 20 6d c3 bc 73 73 65 6e 20 62 65 69 6d 20 73 69 6d 75 6c 69 65 72 hrt.werden.m..ssen.beim.simulier
2b60 65 6e 00 5c 29 20 75 6e 64 20 66 c3 bc 72 20 5c 28 20 31 2e 30 30 30 2e 30 30 30 20 5c 29 20 53 en.\).und.f..r.\(.1.000.000.\).S
2b80 74 65 72 6e 65 20 5c 28 20 5c 61 70 70 72 6f 78 20 39 2e 39 39 39 39 39 20 5c 63 64 6f 74 20 31 terne.\(.\approx.9.99999.\cdot.1
2ba0 30 5e 7b 31 31 7d 20 5c 29 2e 20 44 69 65 00 64 65 6d 6e 61 63 68 20 5c 28 20 36 20 5c 29 20 4b 0^{11}.\)..Die.demnach.\(.6.\).K
2bc0 72 c3 a4 66 74 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 6e 2c 20 66 c3 bc 72 20 5c 28 r..fte.berechnet.werden,.f..r.\(
2be0 20 31 30 30 20 5c 29 20 53 74 65 72 6e 65 20 64 61 67 65 67 65 6e 20 5c 28 20 39 39 30 30 00 6c .100.\).Sterne.dagegen.\(.9900.l
2c00 61 73 73 65 6e 20 73 69 63 68 20 6d 69 74 20 64 65 72 20 46 6f 72 6d 65 6c 20 5c 28 20 6e 20 5c assen.sich.mit.der.Formel.\(.n.\
2c20 63 64 6f 74 20 28 6e 2d 31 29 20 5c 29 20 62 65 72 65 63 68 6e 65 6e 2e 20 46 c3 bc 72 20 5c 28 cdot.(n-1).\).berechnen..F..r.\(
2c40 20 6e 3d 33 20 5c 29 20 6d c3 bc 73 73 65 6e 00 6d c3 bc 73 73 65 6e 20 73 74 65 69 67 65 6e 20 .n=3.\).m..ssen.m..ssen.steigen.
2c60 65 78 70 6f 6e 65 6e 74 69 65 6c 6c 3a 20 44 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 20 4b 72 c3 exponentiell:.Die.Anzahl.der.Kr.
2c80 a4 66 74 65 20 64 69 65 20 61 75 66 20 5c 28 6e 5c 29 20 53 74 65 72 6e 65 20 77 69 72 6b 65 6e .fte.die.auf.\(n\).Sterne.wirken
2ca0 00 65 73 20 7a 75 20 50 72 6f 62 6c 65 6d 65 6e 3a 20 64 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 .es.zu.Problemen:.die.Anzahl.der
2cc0 20 4b 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 64 69 65 20 64 75 72 63 68 67 65 66 .Kraft.Berechnungen.die.durchgef
2ce0 c3 bc 68 72 74 20 77 65 72 64 65 6e 00 5c 70 61 72 20 54 75 74 20 6d 61 6e 20 64 69 65 73 20 69 ..hrt.werden.\par.Tut.man.dies.i
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7980 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
79a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
79c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
79e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7a00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7a20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7a40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7a60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7a80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7aa0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7ac0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7ae0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7b00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7b20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
7b40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 5c 73 75 62 66 6c 6f .........................\subflo
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7be0 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 ..........[]..............[]....
7c00 20 20 20 20 20 20 20 20 20 20 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 5d 00 ..........]..................[].
7c20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 .................[].............
7c40 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 41 5d 00 20 20 20 .....[]..................[A]....
7c60 20 20 20 20 20 20 20 20 20 20 5b 00 20 20 20 20 20 20 20 20 20 5b 42 00 20 20 20 20 20 20 20 20 ..........[..........[B.........
7c80 66 6f 72 20 74 72 65 65 3d 7b 63 69 72 63 6c 65 2c 64 72 61 77 2c 20 73 20 73 65 70 2b 3d 30 2e for.tree={circle,draw,.s.sep+=0.
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7d60 20 20 20 20 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 ....].............].............
7d80 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 ....[].................[].......
7da0 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 41 5d ..........[].................[A]
7dc0 00 20 20 20 20 20 20 20 20 20 20 20 20 5b 42 00 20 20 20 20 20 20 20 20 5b 2c 70 68 61 6e 74 6f .............[B.........[,phanto
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7ee0 20 20 20 20 20 20 20 20 5b 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 5d 00 20 20 ........[].................[]...
7f00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 41 5d 00 20 20 20 20 20 20 20 20 20 20 20 20 5b 00 ..............[A].............[.
7f20 20 20 20 20 20 20 20 20 20 20 20 20 5b 42 5d 00 20 20 20 20 20 20 20 20 5b 2c 70 68 61 6e 74 6f ............[B].........[,phanto
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8060 a4 0b 00 00 51 0b 00 00 01 0b 00 00 b0 0a 00 00 9e 0a 00 00 9d 0a 00 00 4f 0a 00 00 00 0a 00 00 ....Q...................O.......
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80a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
80c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
80e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8100 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8120 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8140 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8180 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
81a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
81c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
81e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8240 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8280 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
82a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
82c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
82e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8300 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8320 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8360 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8380 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
83a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
83c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
83e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8420 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8440 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8460 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8480 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
84a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
84c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
84e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8500 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8520 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8540 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8560 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8580 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
85a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
85c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
85e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8600 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8620 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8640 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8660 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8680 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
86a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
86c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
86e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8700 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8720 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8740 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8760 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8780 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
87a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
87c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
87e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8800 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8820 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8840 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8860 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
8880 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
88a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
88c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8940 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8980 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
89a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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8a20 20 5c 29 20 62 65 66 69 6e 64 65 6e 20 73 65 68 72 20 6b 6c 65 69 6e 20 69 73 74 20 75 6e 64 20 .\).befinden.sehr.klein.ist.und.
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8a60 61 6e 20 41 62 62 69 6c 64 75 6e 67 20 5c 72 65 66 7b 66 69 67 3a 63 65 6c 6c 73 7d 20 66 c3 a4 an.Abbildung.\ref{fig:cells}.f..
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