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Systemtheoretische Modelle und Algorithmen zur Analyse angedacht.

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Jochen Hanisch-Johannsen
2025-09-03 21:38:18 +02:00
parent 6d8e50e2a3
commit 55812bc5d6
16 changed files with 4033 additions and 505 deletions
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130
export/fib_abs_series.csv Normal file
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@ -0,0 +1,130 @@
rank,effect,fib,fit,resid
0,1.34,1.0,0.36789720868362097,0.9721027913163791
1,1.3,1.0,0.36789720868362097,0.9321027913163791
2,1.28,2.0,0.36789720868362097,0.9121027913163791
3,1.09,3.0,0.36789720868362097,0.7221027913163791
4,1.01,5.0,0.36789720868362097,0.642102791316379
5,0.96,8.0,0.36789720868362097,0.592102791316379
6,0.96,13.0,0.36789720868362097,0.592102791316379
7,0.94,21.0,0.36789720868362097,0.572102791316379
8,0.85,34.0,0.36789720868362097,0.482102791316379
9,0.84,55.0,0.36789720868362097,0.472102791316379
10,0.82,89.0,0.36789720868362097,0.452102791316379
11,0.74,144.0,0.36789720868362097,0.372102791316379
12,0.73,233.0,0.36789720868362097,0.362102791316379
13,0.66,377.0,0.36789720868362097,0.29210279131637906
14,0.66,610.0,0.36789720868362097,0.29210279131637906
15,0.65,987.0,0.36789720868362097,0.28210279131637905
16,0.64,1597.0,0.36789720868362097,0.27210279131637904
17,0.63,2584.0,0.36789720868362097,0.26210279131637904
18,0.63,4181.0,0.36789720868362097,0.26210279131637904
19,0.62,6765.0,0.36789720868362097,0.252102791316379
20,0.62,10946.0,0.36789720868362097,0.252102791316379
21,0.61,17711.0,0.36789720868362097,0.24210279131637902
22,0.61,28657.0,0.36789720868362097,0.24210279131637902
23,0.59,46368.0,0.36789720868362097,0.222102791316379
24,0.56,75025.0,0.36789720868362097,0.19210279131637908
25,0.55,121393.0,0.36789720868362097,0.18210279131637908
26,0.54,196418.0,0.36789720868362097,0.17210279131637907
27,0.53,317811.0,0.36789720868362097,0.16210279131637906
28,0.52,514229.0,0.36789720868362097,0.15210279131637905
29,0.51,832040.0,0.36789720868362097,0.14210279131637904
30,0.51,1346269.0,0.36789720868362097,0.14210279131637904
31,0.5,2178309.0,0.36789720868362097,0.13210279131637903
32,0.5,3524578.0,0.36789720868362097,0.13210279131637903
33,0.49,5702887.0,0.36789720868362097,0.12210279131637902
34,0.48,9227465.0,0.36789720868362097,0.11210279131637901
35,0.46,14930352.0,0.36789720868362097,0.09210279131637905
36,0.46,24157817.0,0.36789720868362097,0.09210279131637905
37,0.46,39088169.0,0.36789720868362097,0.09210279131637905
38,0.45,63245986.0,0.36789720868362097,0.08210279131637904
39,0.44,102334155.0,0.36789720868362097,0.07210279131637903
40,0.44,165580141.0,0.36789720868362097,0.07210279131637903
41,0.43,267914296.0,0.36789720868362097,0.062102791316379025
42,0.42,433494437.0,0.36789720868362097,0.052102791316379016
43,0.41,701408733.0,0.36789720868362097,0.04210279131637901
44,0.41,1134903170.0,0.36789720868362097,0.04210279131637901
45,0.41,1836311903.0,0.36789720868362097,0.04210279131637901
46,0.4,2971215073.0,0.36789720868362097,0.032102791316379053
47,0.4,4807526976.0,0.36789720868362097,0.032102791316379053
48,0.4,7778742049.0,0.36789720868362097,0.032102791316379053
49,0.39,12586269025.0,0.36789720868362097,0.022102791316379045
50,0.39,20365011074.0,0.3678972086836209,0.0221027913163791
51,0.38,32951280099.0,0.3678972086836209,0.012102791316379091
52,0.37,53316291173.0,0.3678972086836209,0.0021027913163790823
53,0.37,86267571272.0,0.36789720868362086,0.002102791316379138
54,0.36,139583862445.0,0.36789720868362075,-0.00789720868362076
55,0.35,225851433717.0,0.36789720868362064,-0.017897208683620658
56,0.35,365435296162.0,0.36789720868362047,-0.01789720868362049
57,0.33,591286729879.0,0.36789720868362014,-0.03789720868362012
58,0.33,956722026041.0,0.36789720868361964,-0.03789720868361962
59,0.33,1548008755920.0,0.3678972086836188,-0.03789720868361879
60,0.3,2504730781961.0,0.3678972086836174,-0.06789720868361743
61,0.3,4052739537881.0,0.36789720868361525,-0.06789720868361526
62,0.29,6557470319842.0,0.3678972086836117,-0.07789720868361172
63,0.29,10610209857723.0,0.367897208683606,-0.077897208683606
64,0.28,17167680177565.0,0.36789720868359665,-0.08789720868359663
65,0.27,27777890035288.0,0.36789720868358167,-0.09789720868358165
66,0.27,44945570212853.0,0.36789720868355735,-0.09789720868355734
67,0.26,72723460248141.0,0.36789720868351805,-0.10789720868351804
68,0.26,117669030460994.0,0.3678972086834545,-0.10789720868345448
69,0.26,190392490709135.0,0.3678972086833516,-0.10789720868335156
70,0.26,308061521170129.0,0.3678972086831851,-0.10789720868318509
71,0.25,498454011879264.0,0.3678972086829157,-0.1178972086829157
72,0.24,806515533049393.0,0.3678972086824798,-0.12789720868247983
73,0.24,1304969544928657.0,0.3678972086817746,-0.12789720868177462
74,0.24,2111485077978050.0,0.36789720868063347,-0.12789720868063348
75,0.24,3416454622906707.0,0.3678972086787871,-0.12789720867878712
76,0.23,5527939700884757.0,0.3678972086757996,-0.1378972086757996
77,0.23,8944394323791464.0,0.36789720867096576,-0.13789720867096575
78,0.22,1.447233402467622e+16,0.3678972086631444,-0.1478972086631444
79,0.22,2.3416728348467684e+16,0.3678972086504892,-0.1478972086504892
80,0.21,3.78890623731439e+16,0.36789720863001263,-0.15789720863001264
81,0.21,6.130579072161158e+16,0.36789720859688085,-0.15789720859688086
82,0.21,9.919485309475549e+16,0.3678972085432725,-0.15789720854327252
83,0.2,1.6050064381636707e+17,0.3678972084565324,-0.1678972084565324
84,0.2,2.5969549691112256e+17,0.36789720831618394,-0.16789720831618393
85,0.2,4.2019614072748966e+17,0.3678972080890954,-0.16789720808909536
86,0.19,6.798916376386122e+17,0.3678972077216583,-0.1778972077216583
87,0.19,1.1000877783661019e+18,0.3678972071271327,-0.1778972071271327
88,0.19,1.779979416004714e+18,0.3678972061651701,-0.17789720616517007
89,0.18,2.880067194370816e+18,0.3678972046086818,-0.1878972046086818
90,0.18,4.66004661037553e+18,0.36789720209023086,-0.18789720209023086
91,0.18,7.540113804746346e+18,0.3678971980152917,-0.1878971980152917
92,0.17,1.2200160415121877e+19,0.3678971914219016,-0.19789719142190157
93,0.17,1.9740274219868226e+19,0.3678971807535723,-0.1978971807535723
94,0.17,3.19404346349901e+19,0.3678971634918529,-0.1978971634918529
95,0.16,5.168070885485833e+19,0.36789713556180426,-0.20789713556180425
96,0.16,8.362114348984843e+19,0.3678970903700362,-0.2078970903700362
97,0.16,1.3530185234470676e+20,0.3678970172482195,-0.2078970172482195
98,0.15,2.189229958345552e+20,0.3678968989346348,-0.2178968989346348
99,0.14,3.54224848179262e+20,0.3678967074992333,-0.2278967074992333
100,0.13,5.731478440138172e+20,0.36789639775024713,-0.23789639775024712
101,0.13,9.273726921930792e+20,0.36789589656585947,-0.23789589656585947
102,0.12,1.5005205362068963e+21,0.36789508563248563,-0.24789508563248563
103,0.1,2.4278932283999755e+21,0.3678937735147241,-0.2678937735147241
104,0.1,3.9284137646068717e+21,0.36789165046358874,-0.26789165046358876
105,0.09,6.356306993006848e+21,0.3678882152946919,-0.2778882152946919
106,0.09,1.028472075761372e+22,0.36788265707465967,-0.27788265707465964
107,0.09,1.6641027750620568e+22,0.36787366368573055,-0.2778736636857305
108,0.09,2.6925748508234288e+22,0.36785911207676925,-0.2778591120767693
109,0.08,4.356677625885486e+22,0.3678355670788788,-0.2878355670788788
110,0.08,7.049252476708914e+22,0.3677974704720271,-0.2877974704720271
111,0.07,1.14059301025944e+23,0.36773582886728495,-0.29773582886728495
112,0.06,1.8455182579303315e+23,0.3676360906556911,-0.3076360906556911
113,0.05,2.9861112681897715e+23,0.36747471083935507,-0.3174747108393551
114,0.05,4.831629526120103e+23,0.3672135928114252,-0.3172135928114252
115,0.05,7.817740794309875e+23,0.3667910949671593,-0.3167910949671593
116,0.05,1.2649370320429978e+24,0.3661074790949635,-0.3161074790949635
117,0.05,2.0467111114739851e+24,0.3650013653785018,-0.3150013653785018
118,0.04,3.3116481435169827e+24,0.36321163578984433,-0.32321163578984435
119,0.04,5.358359254990968e+24,0.3603157924847252,-0.3203157924847252
120,0.04,8.670007398507951e+24,0.3556302195909486,-0.3156302195909486
121,0.03,1.402836665349892e+25,0.3480488033920528,-0.31804880339205277
122,0.03,2.269837405200687e+25,0.33578181429938037,-0.30578181429938034
123,0.03,3.6726740705505786e+25,0.3159334090078122,-0.28593340900781217
124,0.03,5.942511475751265e+25,0.28381801462357165,-0.2538180146235717
125,0.02,9.615185546301844e+25,0.2318542149477629,-0.2118542149477629
126,0.02,1.555769702205311e+26,0.1477750208877136,-0.12777502088771361
127,0.01,2.5172882568354952e+26,0.011732027151855506,-0.0017320271518555062
128,0.0,4.0730579590408064e+26,-0.2083901606440519,0.2083901606440519
1 rank effect fib fit resid
2 0 1.34 1.0 0.36789720868362097 0.9721027913163791
3 1 1.3 1.0 0.36789720868362097 0.9321027913163791
4 2 1.28 2.0 0.36789720868362097 0.9121027913163791
5 3 1.09 3.0 0.36789720868362097 0.7221027913163791
6 4 1.01 5.0 0.36789720868362097 0.642102791316379
7 5 0.96 8.0 0.36789720868362097 0.592102791316379
8 6 0.96 13.0 0.36789720868362097 0.592102791316379
9 7 0.94 21.0 0.36789720868362097 0.572102791316379
10 8 0.85 34.0 0.36789720868362097 0.482102791316379
11 9 0.84 55.0 0.36789720868362097 0.472102791316379
12 10 0.82 89.0 0.36789720868362097 0.452102791316379
13 11 0.74 144.0 0.36789720868362097 0.372102791316379
14 12 0.73 233.0 0.36789720868362097 0.362102791316379
15 13 0.66 377.0 0.36789720868362097 0.29210279131637906
16 14 0.66 610.0 0.36789720868362097 0.29210279131637906
17 15 0.65 987.0 0.36789720868362097 0.28210279131637905
18 16 0.64 1597.0 0.36789720868362097 0.27210279131637904
19 17 0.63 2584.0 0.36789720868362097 0.26210279131637904
20 18 0.63 4181.0 0.36789720868362097 0.26210279131637904
21 19 0.62 6765.0 0.36789720868362097 0.252102791316379
22 20 0.62 10946.0 0.36789720868362097 0.252102791316379
23 21 0.61 17711.0 0.36789720868362097 0.24210279131637902
24 22 0.61 28657.0 0.36789720868362097 0.24210279131637902
25 23 0.59 46368.0 0.36789720868362097 0.222102791316379
26 24 0.56 75025.0 0.36789720868362097 0.19210279131637908
27 25 0.55 121393.0 0.36789720868362097 0.18210279131637908
28 26 0.54 196418.0 0.36789720868362097 0.17210279131637907
29 27 0.53 317811.0 0.36789720868362097 0.16210279131637906
30 28 0.52 514229.0 0.36789720868362097 0.15210279131637905
31 29 0.51 832040.0 0.36789720868362097 0.14210279131637904
32 30 0.51 1346269.0 0.36789720868362097 0.14210279131637904
33 31 0.5 2178309.0 0.36789720868362097 0.13210279131637903
34 32 0.5 3524578.0 0.36789720868362097 0.13210279131637903
35 33 0.49 5702887.0 0.36789720868362097 0.12210279131637902
36 34 0.48 9227465.0 0.36789720868362097 0.11210279131637901
37 35 0.46 14930352.0 0.36789720868362097 0.09210279131637905
38 36 0.46 24157817.0 0.36789720868362097 0.09210279131637905
39 37 0.46 39088169.0 0.36789720868362097 0.09210279131637905
40 38 0.45 63245986.0 0.36789720868362097 0.08210279131637904
41 39 0.44 102334155.0 0.36789720868362097 0.07210279131637903
42 40 0.44 165580141.0 0.36789720868362097 0.07210279131637903
43 41 0.43 267914296.0 0.36789720868362097 0.062102791316379025
44 42 0.42 433494437.0 0.36789720868362097 0.052102791316379016
45 43 0.41 701408733.0 0.36789720868362097 0.04210279131637901
46 44 0.41 1134903170.0 0.36789720868362097 0.04210279131637901
47 45 0.41 1836311903.0 0.36789720868362097 0.04210279131637901
48 46 0.4 2971215073.0 0.36789720868362097 0.032102791316379053
49 47 0.4 4807526976.0 0.36789720868362097 0.032102791316379053
50 48 0.4 7778742049.0 0.36789720868362097 0.032102791316379053
51 49 0.39 12586269025.0 0.36789720868362097 0.022102791316379045
52 50 0.39 20365011074.0 0.3678972086836209 0.0221027913163791
53 51 0.38 32951280099.0 0.3678972086836209 0.012102791316379091
54 52 0.37 53316291173.0 0.3678972086836209 0.0021027913163790823
55 53 0.37 86267571272.0 0.36789720868362086 0.002102791316379138
56 54 0.36 139583862445.0 0.36789720868362075 -0.00789720868362076
57 55 0.35 225851433717.0 0.36789720868362064 -0.017897208683620658
58 56 0.35 365435296162.0 0.36789720868362047 -0.01789720868362049
59 57 0.33 591286729879.0 0.36789720868362014 -0.03789720868362012
60 58 0.33 956722026041.0 0.36789720868361964 -0.03789720868361962
61 59 0.33 1548008755920.0 0.3678972086836188 -0.03789720868361879
62 60 0.3 2504730781961.0 0.3678972086836174 -0.06789720868361743
63 61 0.3 4052739537881.0 0.36789720868361525 -0.06789720868361526
64 62 0.29 6557470319842.0 0.3678972086836117 -0.07789720868361172
65 63 0.29 10610209857723.0 0.367897208683606 -0.077897208683606
66 64 0.28 17167680177565.0 0.36789720868359665 -0.08789720868359663
67 65 0.27 27777890035288.0 0.36789720868358167 -0.09789720868358165
68 66 0.27 44945570212853.0 0.36789720868355735 -0.09789720868355734
69 67 0.26 72723460248141.0 0.36789720868351805 -0.10789720868351804
70 68 0.26 117669030460994.0 0.3678972086834545 -0.10789720868345448
71 69 0.26 190392490709135.0 0.3678972086833516 -0.10789720868335156
72 70 0.26 308061521170129.0 0.3678972086831851 -0.10789720868318509
73 71 0.25 498454011879264.0 0.3678972086829157 -0.1178972086829157
74 72 0.24 806515533049393.0 0.3678972086824798 -0.12789720868247983
75 73 0.24 1304969544928657.0 0.3678972086817746 -0.12789720868177462
76 74 0.24 2111485077978050.0 0.36789720868063347 -0.12789720868063348
77 75 0.24 3416454622906707.0 0.3678972086787871 -0.12789720867878712
78 76 0.23 5527939700884757.0 0.3678972086757996 -0.1378972086757996
79 77 0.23 8944394323791464.0 0.36789720867096576 -0.13789720867096575
80 78 0.22 1.447233402467622e+16 0.3678972086631444 -0.1478972086631444
81 79 0.22 2.3416728348467684e+16 0.3678972086504892 -0.1478972086504892
82 80 0.21 3.78890623731439e+16 0.36789720863001263 -0.15789720863001264
83 81 0.21 6.130579072161158e+16 0.36789720859688085 -0.15789720859688086
84 82 0.21 9.919485309475549e+16 0.3678972085432725 -0.15789720854327252
85 83 0.2 1.6050064381636707e+17 0.3678972084565324 -0.1678972084565324
86 84 0.2 2.5969549691112256e+17 0.36789720831618394 -0.16789720831618393
87 85 0.2 4.2019614072748966e+17 0.3678972080890954 -0.16789720808909536
88 86 0.19 6.798916376386122e+17 0.3678972077216583 -0.1778972077216583
89 87 0.19 1.1000877783661019e+18 0.3678972071271327 -0.1778972071271327
90 88 0.19 1.779979416004714e+18 0.3678972061651701 -0.17789720616517007
91 89 0.18 2.880067194370816e+18 0.3678972046086818 -0.1878972046086818
92 90 0.18 4.66004661037553e+18 0.36789720209023086 -0.18789720209023086
93 91 0.18 7.540113804746346e+18 0.3678971980152917 -0.1878971980152917
94 92 0.17 1.2200160415121877e+19 0.3678971914219016 -0.19789719142190157
95 93 0.17 1.9740274219868226e+19 0.3678971807535723 -0.1978971807535723
96 94 0.17 3.19404346349901e+19 0.3678971634918529 -0.1978971634918529
97 95 0.16 5.168070885485833e+19 0.36789713556180426 -0.20789713556180425
98 96 0.16 8.362114348984843e+19 0.3678970903700362 -0.2078970903700362
99 97 0.16 1.3530185234470676e+20 0.3678970172482195 -0.2078970172482195
100 98 0.15 2.189229958345552e+20 0.3678968989346348 -0.2178968989346348
101 99 0.14 3.54224848179262e+20 0.3678967074992333 -0.2278967074992333
102 100 0.13 5.731478440138172e+20 0.36789639775024713 -0.23789639775024712
103 101 0.13 9.273726921930792e+20 0.36789589656585947 -0.23789589656585947
104 102 0.12 1.5005205362068963e+21 0.36789508563248563 -0.24789508563248563
105 103 0.1 2.4278932283999755e+21 0.3678937735147241 -0.2678937735147241
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