Process manipulationΒΆ

The objective here is to manipulate a multivariate stochastic process X: \Omega \times \mathcal{D} \rightarrow \mathbb{R}^d, where \mathcal{D} \in \mathbb{R}^n is discretized on the mesh \mathcal{M} and exhibit some of the services exposed by the Process objects:

  • ask for the dimension, with the method getOutputDimension

  • ask for the mesh, with the method getMesh

  • ask for the mesh as regular 1-d mesh, with the getTimeGrid method

  • ask for a realization, with the method the getRealization method

  • ask for a continuous realization, with the getContinuousRealization method

  • ask for a sample of realizations, with the getSample method

  • ask for the normality of the process with the isNormal method

  • ask for the stationarity of the process with the isStationary method

[1]:
from __future__ import print_function
import openturns as ot
import math as m
[2]:
# Create a mesh which is a RegularGrid
tMin = 0.0
timeStep = 0.1
n = 100
time_grid = ot.RegularGrid(tMin, timeStep, n)
time_grid.setName('time')
[3]:
# Create a process of dimension 3
# Normal process with an Exponential covariance model
# Amplitude and scale values of the Exponential model
scale = [4.0]
amplitude = [1.0, 2.0, 3.0]
# spatialCorrelation
spatialCorrelation = ot.CorrelationMatrix(3)
spatialCorrelation[0, 1] = 0.8
spatialCorrelation[0, 2] = 0.6
spatialCorrelation[1, 2] = 0.1
myCovarianceModel = ot.ExponentialModel(scale, amplitude, spatialCorrelation)
process = ot.GaussianProcess(myCovarianceModel, time_grid)
[4]:
# Get the dimension d of the process
process.getOutputDimension()
[4]:
3
[5]:
# Get the mesh of the process
mesh = process.getMesh()

# Get the corners of the mesh
minMesh = mesh.getVertices().getMin()[0]
maxMesh = mesh.getVertices().getMax()[0]
mesh.draw()
[5]:
../../_images/examples_probabilistic_modeling_process_manipulation_6_0.png
[6]:
# Get the time grid of the process
# only when the mesh can be interpreted as a regular time grid
process.getTimeGrid()
[6]:

RegularGrid(start=0, step=0.1, n=100)

[7]:
# Get a realisation of the process
realization = process.getRealization()
realization
[7]:
ty0y1y2
00.00.6082016512190991-0.54628508071047442.8578683216111953
10.10.859403641457583-0.68493372384463074.295152922861804
20.20.7597849162608838-0.412578988721615143.7074267190889962
30.300000000000000040.9161868180936767-0.246828076876398074.213132895222063
40.40.3878273974693289-1.38989157570355333.3123000787526706
50.50.3582031491785811-1.1237591381614142.731442287394663
60.60000000000000010.2256429348726378-1.17590060107526282.3589557195575592
70.70000000000000010.3185192886246444-1.26445087899844342.636075325600796
80.80.4152488687728361-1.0991393150465292.9257124814890094
90.90.7986135088755093-0.423608431387389133.2795095986150176
101.00.6195517870358491-0.73202604783839192.433964681273477
111.10.6928915299889455-0.20964810134080082.284702202656843
121.20000000000000020.83954797544259630.045992875526136512.716015896929805
131.30.88506069463001410.258891887024677142.440027517465815
141.40000000000000010.7786282773310271-0.082331455201061222.6269390650009123
151.51.19418595041093730.437454779818388654.227294078272512
161.61.17622029157266070.65455926527898364.043953354125455
171.70000000000000020.98295736775905250.42449898351477323.075476876134798
181.81.10334472863226370.78806237643026593.5970126817403036
191.90000000000000010.86437823597266230.52999800948264112.9099103668931576
202.01.21249531795382510.83271310165218473.824548115882279
212.11.45061802852412171.03512770373321764.095515118937275
222.21.43765349688411570.80979251099395744.702982100696801
232.30000000000000031.47609391737608280.77992735404248035.142418548496704
242.40000000000000041.81714930133261921.64839504864058125.08157274062987
252.51.40549751485800641.61610831684172583.5993529552265544
262.61.2579982634495751.22796255755402253.263166905640521
272.71.34708575828810331.60574588210670972.819167069644291
282.80000000000000031.28921101925176831.79026214078872582.235959648583607
292.90000000000000041.05006161847425460.89263009144717982.420694929722228
303.01.0989455016070991.25941863278504032.2757855075571927
313.11.05195729736057730.96973786648435062.9546460566413333
323.20.97336853290284031.21309037282578542.916860498158517
333.30000000000000030.75023019307143110.46256088359652422.7022069022127644
343.40000000000000040.7825825338202461-0.28829005960788174.030998751361815
353.50.48556898690667827-0.453113073571301152.7522004903466515
363.60.5216157537293251-0.0880464454895292.4394607599822735
373.70.40092158002397893-0.38173407891608872.488011461988219
383.80000000000000030.353982117965458530.36679828954994261.4008670895858888
393.90000000000000040.480372460859303850.736060174274560.854973869838807
404.0-0.062985436755462120.04317467413027892-0.6134720996001959
414.1000000000000005-0.22741665472423062-0.10734871560090237-1.22840322565857
424.20.189045241192058320.61088491431891390.007988629481644915
434.30.064371697721095520.2085476362213743-0.06364701407707679
444.4-0.4360241588869346-0.7527430095815908-0.8115780075534897
454.5-0.8189596821774368-1.5455397474418442-1.1930992831778855
464.6000000000000005-0.6057866967249568-1.5863511916354842-0.3057032694186093
474.7-0.3118767200283323-1.2139451714491605-0.22975782778177084
484.800000000000001-0.41777477974519994-1.1942086381803902-0.6989387543514303
494.9-0.2463151892191795-0.9724111195642151-0.13271317836445617
505.0-0.24765606012373648-0.970011059726402-0.09168355363332875
515.1000000000000005-0.32476969058455574-1.1045586795456765-0.16378616245620664
525.2-0.3606440853326812-1.0220024940091381-0.3851383335581289
535.300000000000001-0.2668303107999055-0.8300491169323987-0.3040693734269565
545.40.069155725217979570.04158874654619191-0.04627867832375998
555.5-0.07762710566942188-0.22633530167396035-0.7218656867304968
565.60000000000000050.183588374191664460.4404288249164966-0.7364388876837413
575.70.30685343799734290.47967449358040826-0.6935571462039878
585.8000000000000010.18891247048494728-0.120882678045178-0.06611991134374995
595.90.22952145676431135-0.071233627809418360.24969266084105862
606.00.09089868389579155-0.60288766232840850.22482902989401662
616.10000000000000050.05749075379748669-0.52073465824707440.1458413640227276
626.2-0.2784030907780849-1.22242572415394470.040423871551555385
636.300000000000001-0.5819970551368496-1.696818971106528-0.7116201767009103
646.4-0.6431896425345583-1.231658641274449-1.316450528423291
656.5-0.9491115672133578-1.939897176483513-1.6023541556593992
666.6000000000000005-0.8330858303231377-1.9654179608914364-0.7673948866112269
676.7-1.0127234384007964-2.480184752365043-0.34745947687438616
686.800000000000001-0.9210433829604205-2.1823253847931197-0.27065575904075756
696.9-1.072480670741631-2.5845381480037517-0.34125780518225135
707.0-1.2605545774534084-3.1787987412136410.24185978986973872
717.1000000000000005-1.3595572568067118-3.76755709194138970.9956237744864502
727.2-0.6572864729785716-2.15547458335530040.929840234298728
737.300000000000001-0.8611189078891601-2.24946922600805930.01815869963257616
747.4-0.8476308089884635-2.3229346581515650.10430941778477129
757.5-1.0200307888754332-3.24799186631136340.801111696029886
767.6000000000000005-0.9996445430871892-3.0166777019382830.5688223874988879
777.7-1.1395690667509837-3.34379249688103550.6690533801525046
787.800000000000001-1.2152366442869726-4.0029477625402741.2370104382801774
797.9-1.1261022328845787-3.90702694250383781.8391858274579664
808.0-1.1058797516522514-3.70050111941834371.3851106794646677
818.1-1.4374537731325452-4.3272667178388040.8455344578315077
828.200000000000001-1.39735136369435-4.0477209583859660.8196029391081838
838.3-1.1665678614609736-3.24143594706886250.7455866282014967
848.4-0.8266113364122428-2.51088034322358041.6585839601680363
858.5-0.6165860006169483-2.38595563620043372.1656112764389577
868.6-0.7423545085534662-2.1952523066253320.5587090127193178
878.700000000000001-0.6305588104067733-2.25549042426509150.7789810476062277
888.8-0.590459283872626-1.98096597287678830.17792662612795235
898.9-0.5767854860197611-1.784347523913533-0.07384821473114042
909.0-0.5470401646934713-1.7778333178169157-0.3632204945787411
919.1-0.7584908761112531-2.54738188495323530.26434903622690414
929.200000000000001-0.8595298383159675-2.9408858917172580.006645446142953315
939.3-0.40853849347019244-1.97405063240071390.8216166532590619
949.4-0.2414013677903037-1.794181899374151.4744823849325615
959.5-0.07598461166590742-1.31984167138774991.5990281334039502
969.600000000000001-0.16415183562314162-1.0446257637390540.6519265449141765
979.700000000000001-0.03876053735859323-0.4403785732364110.13977392444057984
989.8-0.3465291675344786-0.5786503170679222-1.1224770442560676
999.9-0.398131780118241-0.7504079473002313-1.3169386116264585
[8]:
# Draw one realization
interpolate=False
realization.drawMarginal(0, interpolate)
[8]:
../../_images/examples_probabilistic_modeling_process_manipulation_9_0.png
[9]:
# Same graph, but draw interpolated values
realization.drawMarginal(0)
[9]:
../../_images/examples_probabilistic_modeling_process_manipulation_10_0.png
[10]:
# Get a function representing the process using P1 Lagrange interpolation
# (when not defined from a functional model)
continuousRealization = process.getContinuousRealization()
[11]:
# Draw its first marginal
marginal0 = continuousRealization.getMarginal(0)
marginal0.draw(minMesh, maxMesh)
[11]:
../../_images/examples_probabilistic_modeling_process_manipulation_12_0.png
[12]:
# Get several realizations of the process
number = 10
fieldSample = process.getSample(number)
fieldSample
[12]:

[field 0:
[ t y0 y1 y2 ]
0 : [ 0 0.956583 0.864101 2.82472 ]
1 : [ 0.1 0.964759 1.01278 2.70028 ]
2 : [ 0.2 1.06075 1.11367 3.34847 ]
3 : [ 0.3 1.17141 0.599701 5.00748 ]
4 : [ 0.4 1.16832 1.12782 4.09084 ]
5 : [ 0.5 1.4156 1.36472 4.37028 ]
6 : [ 0.6 1.20061 1.19425 3.74054 ]
7 : [ 0.7 0.789641 0.536491 2.98827 ]
8 : [ 0.8 0.790684 0.29745 3.19322 ]
9 : [ 0.9 0.911322 0.263238 3.3957 ]
10 : [ 1 0.913051 0.519995 2.58829 ]
11 : [ 1.1 0.715916 0.648217 1.34622 ]
12 : [ 1.2 1.10445 1.20493 1.97189 ]
13 : [ 1.3 0.940828 1.29795 1.28735 ]
14 : [ 1.4 0.999603 1.75945 0.257684 ]
15 : [ 1.5 1.2181 2.23325 0.044136 ]
16 : [ 1.6 1.24941 2.4422 0.230175 ]
17 : [ 1.7 1.11568 1.78215 0.725941 ]
18 : [ 1.8 0.871571 0.930413 0.852621 ]
19 : [ 1.9 0.728102 0.549128 0.736729 ]
20 : [ 2 0.883244 0.9369 0.691168 ]
21 : [ 2.1 0.714345 0.764019 0.821203 ]
22 : [ 2.2 0.65614 0.718439 0.534453 ]
23 : [ 2.3 0.69653 0.446523 0.940382 ]
24 : [ 2.4 0.516623 -0.0809735 1.1752 ]
25 : [ 2.5 1.20163 0.966402 3.01936 ]
26 : [ 2.6 0.82323 0.542609 2.49095 ]
27 : [ 2.7 1.11232 1.32799 2.99107 ]
28 : [ 2.8 1.31736 1.76423 3.30771 ]
29 : [ 2.9 1.24695 1.85243 2.49273 ]
30 : [ 3 0.822802 1.25029 1.7238 ]
31 : [ 3.1 0.788732 1.77501 1.04847 ]
32 : [ 3.2 0.817826 1.79063 0.918954 ]
33 : [ 3.3 0.992306 1.71813 1.17214 ]
34 : [ 3.4 0.972873 1.40814 2.11918 ]
35 : [ 3.5 1.00757 1.49801 2.07794 ]
36 : [ 3.6 1.26653 1.85923 2.62496 ]
37 : [ 3.7 1.23916 1.825 2.49376 ]
38 : [ 3.8 1.22474 1.48456 3.17736 ]
39 : [ 3.9 0.892462 0.533591 3.28634 ]
40 : [ 4 1.04205 0.862566 3.53816 ]
41 : [ 4.1 1.18567 1.05174 3.53504 ]
42 : [ 4.2 0.993992 0.728831 3.15577 ]
43 : [ 4.3 0.740533 0.19285 2.56215 ]
44 : [ 4.4 0.541199 -0.136385 1.65052 ]
45 : [ 4.5 0.212437 -0.161385 0.546045 ]
46 : [ 4.6 0.0409669 -0.504082 -0.605537 ]
47 : [ 4.7 -0.0573127 -0.747872 -0.891575 ]
48 : [ 4.8 -0.229048 -0.921026 -1.92472 ]
49 : [ 4.9 -0.202809 -1.04379 -1.77995 ]
50 : [ 5 -0.296947 -1.16685 -2.37713 ]
51 : [ 5.1 -0.533816 -1.55097 -2.25505 ]
52 : [ 5.2 -0.462414 -1.05563 -2.78416 ]
53 : [ 5.3 -0.60918 -1.08237 -2.95702 ]
54 : [ 5.4 -0.612907 -1.06986 -3.14039 ]
55 : [ 5.5 -0.990957 -1.72027 -4.01955 ]
56 : [ 5.6 -0.691179 -1.00398 -4.29927 ]
57 : [ 5.7 -0.799259 -1.17833 -4.30842 ]
58 : [ 5.8 -0.698672 -0.97174 -4.71352 ]
59 : [ 5.9 -0.775313 -1.24252 -4.12762 ]
60 : [ 6 -1.00231 -1.83423 -4.55581 ]
61 : [ 6.1 -0.982039 -1.43763 -4.89348 ]
62 : [ 6.2 -1.17896 -1.66923 -5.72392 ]
63 : [ 6.3 -0.94531 -0.954834 -5.10123 ]
64 : [ 6.4 -0.938548 -1.09825 -4.39913 ]
65 : [ 6.5 -0.720488 -0.689208 -3.96705 ]
66 : [ 6.6 -0.710812 -0.580178 -3.83726 ]
67 : [ 6.7 -0.412329 0.394906 -4.26791 ]
68 : [ 6.8 -0.497234 0.387611 -4.48117 ]
69 : [ 6.9 -0.744622 0.207823 -5.31859 ]
70 : [ 7 -0.646906 0.714659 -6.02462 ]
71 : [ 7.1 -0.373446 0.663099 -4.55405 ]
72 : [ 7.2 -0.304168 0.629593 -4.32134 ]
73 : [ 7.3 0.298284 2.03494 -3.90496 ]
74 : [ 7.4 0.214632 1.89105 -3.92714 ]
75 : [ 7.5 0.0749531 1.92822 -4.10044 ]
76 : [ 7.6 0.0449253 1.43208 -3.66349 ]
77 : [ 7.7 -0.0723741 1.17117 -3.67152 ]
78 : [ 7.8 0.221629 1.82222 -3.40614 ]
79 : [ 7.9 -0.0904343 1.24254 -3.91695 ]
80 : [ 8 -0.528857 0.478695 -5.02523 ]
81 : [ 8.1 -0.545253 0.313749 -5.0568 ]
82 : [ 8.2 -0.452714 0.729283 -5.32111 ]
83 : [ 8.3 -0.672938 0.322639 -5.4076 ]
84 : [ 8.4 -0.619118 -0.0587464 -4.40205 ]
85 : [ 8.5 -0.396451 0.316955 -3.75213 ]
86 : [ 8.6 -0.417686 0.224844 -3.44882 ]
87 : [ 8.7 -0.511477 0.437448 -4.12596 ]
88 : [ 8.8 -0.387792 0.366394 -3.37906 ]
89 : [ 8.9 -0.659913 -0.262579 -3.32327 ]
90 : [ 9 -1.07479 -1.04658 -4.06368 ]
91 : [ 9.1 -1.25042 -1.21128 -4.49584 ]
92 : [ 9.2 -1.18534 -0.823377 -4.42037 ]
93 : [ 9.3 -1.38858 -1.45848 -3.74594 ]
94 : [ 9.4 -1.39442 -1.53879 -4.02436 ]
95 : [ 9.5 -1.55467 -2.08238 -4.26037 ]
96 : [ 9.6 -1.32046 -1.60638 -3.63627 ]
97 : [ 9.7 -1.22091 -1.08044 -4.20409 ]
98 : [ 9.8 -1.53987 -1.06345 -6.09602 ]
99 : [ 9.9 -1.35166 -1.18879 -5.115 ]
field 1:
[ t y0 y1 y2 ]
0 : [ 0 2.31733 3.14387 3.88843 ]
1 : [ 0.1 2.25772 3.04773 3.24312 ]
2 : [ 0.2 2.00442 2.56093 2.70896 ]
3 : [ 0.3 2.07835 3.12693 2.61466 ]
4 : [ 0.4 2.13631 3.21978 2.74255 ]
5 : [ 0.5 1.8597 3.05661 1.79748 ]
6 : [ 0.6 1.77469 3.29114 1.12464 ]
7 : [ 0.7 1.95563 3.79032 1.83932 ]
8 : [ 0.8 1.54099 3.61701 0.170891 ]
9 : [ 0.9 1.34659 3.05581 0.208954 ]
10 : [ 1 1.29629 2.75323 0.929025 ]
11 : [ 1.1 1.20631 2.70719 0.0102774 ]
12 : [ 1.2 1.43478 3.03468 -0.00663764 ]
13 : [ 1.3 1.63777 3.55809 -0.169769 ]
14 : [ 1.4 1.23525 2.2305 0.355492 ]
15 : [ 1.5 1.54595 2.56445 1.97644 ]
16 : [ 1.6 1.32674 2.18395 1.3262 ]
17 : [ 1.7 1.51202 2.38716 1.39562 ]
18 : [ 1.8 1.71101 2.95208 1.34722 ]
19 : [ 1.9 1.56682 3.16252 0.654312 ]
20 : [ 2 1.73352 3.28484 1.15434 ]
21 : [ 2.1 1.83692 3.25247 1.67347 ]
22 : [ 2.2 1.50848 2.82177 1.00979 ]
23 : [ 2.3 1.36795 2.45058 1.1392 ]
24 : [ 2.4 1.39185 2.32912 1.02602 ]
25 : [ 2.5 1.5485 2.8268 1.05611 ]
26 : [ 2.6 1.51937 2.80898 0.974438 ]
27 : [ 2.7 1.54175 2.73383 1.46548 ]
28 : [ 2.8 1.51144 2.60045 1.61252 ]
29 : [ 2.9 1.28336 2.55873 1.16686 ]
30 : [ 3 1.40214 2.67786 1.90763 ]
31 : [ 3.1 1.23861 2.07053 2.08243 ]
32 : [ 3.2 1.06813 2.32694 0.594108 ]
33 : [ 3.3 0.826779 1.97376 0.266997 ]
34 : [ 3.4 0.275465 0.896493 -0.551728 ]
35 : [ 3.5 0.40461 1.34264 -0.607952 ]
36 : [ 3.6 0.356288 1.44476 -1.00027 ]
37 : [ 3.7 0.0757771 0.586965 -1.01943 ]
38 : [ 3.8 0.495462 0.941692 0.57924 ]
39 : [ 3.9 0.520769 0.952597 0.536447 ]
40 : [ 4 0.366867 0.634463 -0.0864455 ]
41 : [ 4.1 0.613397 0.713841 0.79435 ]
42 : [ 4.2 0.209609 0.133844 -0.180161 ]
43 : [ 4.3 0.402047 0.604461 -0.15039 ]
44 : [ 4.4 0.412587 0.403758 0.503286 ]
45 : [ 4.5 0.0390868 -0.270597 0.315761 ]
46 : [ 4.6 -0.02402 -0.0942509 -0.341187 ]
47 : [ 4.7 0.359741 0.11063 0.822216 ]
48 : [ 4.8 0.210643 -0.0111876 0.235026 ]
49 : [ 4.9 0.0169416 -0.301828 -0.223992 ]
50 : [ 5 0.116084 -0.126072 -0.1923 ]
51 : [ 5.1 0.306926 0.256631 0.138153 ]
52 : [ 5.2 0.107629 -0.142122 -0.307563 ]
53 : [ 5.3 -0.264423 -0.734869 -1.3194 ]
54 : [ 5.4 -0.389871 -1.01553 -1.39747 ]
55 : [ 5.5 -0.401229 -0.782229 -1.41632 ]
56 : [ 5.6 -0.356163 -0.870323 -0.582315 ]
57 : [ 5.7 -0.0343613 -0.387867 -0.0913945 ]
58 : [ 5.8 -0.309532 -1.31056 0.5845 ]
59 : [ 5.9 -0.38665 -1.44985 0.161682 ]
60 : [ 6 0.302821 -0.51455 1.60972 ]
61 : [ 6.1 0.245342 -0.574996 1.76742 ]
62 : [ 6.2 0.248557 -0.51851 1.77779 ]
63 : [ 6.3 0.0949135 -0.708951 1.36891 ]
64 : [ 6.4 0.0325745 -0.65891 1.08882 ]
65 : [ 6.5 -0.0255516 -0.733022 0.3102 ]
66 : [ 6.6 -0.187437 -0.910159 -0.720188 ]
67 : [ 6.7 -0.0604642 -0.924909 0.24449 ]
68 : [ 6.8 0.0589349 -0.701879 0.240302 ]
69 : [ 6.9 0.268427 0.0365808 -0.129387 ]
70 : [ 7 0.0358593 -0.476306 -0.499323 ]
71 : [ 7.1 -0.113365 -0.850927 -0.501121 ]
72 : [ 7.2 0.014846 -0.842352 -0.258295 ]
73 : [ 7.3 0.0190657 -0.451232 -0.583074 ]
74 : [ 7.4 0.293741 0.528953 -1.0438 ]
75 : [ 7.5 0.345238 1.12169 -1.40293 ]
76 : [ 7.6 0.42664 1.29717 -1.5616 ]
77 : [ 7.7 0.221687 0.586883 -0.813486 ]
78 : [ 7.8 0.323828 0.581171 -0.428558 ]
79 : [ 7.9 0.806996 1.60021 0.425044 ]
80 : [ 8 0.87816 1.42789 0.939737 ]
81 : [ 8.1 0.908669 1.70937 0.439424 ]
82 : [ 8.2 0.652666 1.20722 0.379677 ]
83 : [ 8.3 0.367377 0.805126 0.446922 ]
84 : [ 8.4 0.525962 1.71469 -0.0491407 ]
85 : [ 8.5 0.272685 1.20278 0.508601 ]
86 : [ 8.6 0.119619 0.76791 0.360864 ]
87 : [ 8.7 0.407107 1.31486 0.787831 ]
88 : [ 8.8 0.473478 1.60178 0.140855 ]
89 : [ 8.9 0.489369 1.7409 -0.0592691 ]
90 : [ 9 0.519641 1.68345 0.16938 ]
91 : [ 9.1 0.26469 1.17436 -0.0182692 ]
92 : [ 9.2 -0.0601471 0.483979 -0.381692 ]
93 : [ 9.3 -0.00777664 0.19338 -0.0292081 ]
94 : [ 9.4 0.249565 0.432022 0.712806 ]
95 : [ 9.5 0.391971 0.598981 1.22106 ]
96 : [ 9.6 0.0836205 0.0847971 0.840233 ]
97 : [ 9.7 0.39675 0.616766 1.05777 ]
98 : [ 9.8 0.332275 0.551047 1.21272 ]
99 : [ 9.9 0.330826 0.324193 1.461 ]
field 2:
[ t y0 y1 y2 ]
0 : [ 0 -0.883295 -1.39879 -1.6457 ]
1 : [ 0.1 -0.742893 -1.33849 -1.38532 ]
2 : [ 0.2 -0.521401 -1.09103 -1.0084 ]
3 : [ 0.3 -0.0617786 -0.976611 0.942991 ]
4 : [ 0.4 0.256352 -0.356964 1.65409 ]
5 : [ 0.5 0.309769 -0.406717 1.74695 ]
6 : [ 0.6 -0.0755568 -0.44793 -0.140228 ]
7 : [ 0.7 -0.102427 -1.34316 1.40499 ]
8 : [ 0.8 0.159915 -0.751843 1.76353 ]
9 : [ 0.9 0.386953 -0.136338 2.10591 ]
10 : [ 1 -0.0169152 -0.955643 1.55359 ]
11 : [ 1.1 0.264581 -0.454601 2.19281 ]
12 : [ 1.2 0.401132 -0.403176 2.37944 ]
13 : [ 1.3 0.2141 -1.19066 2.72371 ]
14 : [ 1.4 0.0403416 -1.66454 2.78823 ]
15 : [ 1.5 0.0668066 -1.35941 2.21537 ]
16 : [ 1.6 0.102687 -1.27 2.39727 ]
17 : [ 1.7 0.0509125 -1.08382 2.06115 ]
18 : [ 1.8 -0.0854968 -0.961169 0.994738 ]
19 : [ 1.9 -0.206071 -1.33172 1.53327 ]
20 : [ 2 -0.140148 -1.4541 2.11292 ]
21 : [ 2.1 -0.18745 -1.69756 2.05045 ]
22 : [ 2.2 -0.0377095 -1.80087 3.26922 ]
23 : [ 2.3 -0.153301 -2.01498 3.79865 ]
24 : [ 2.4 -0.199613 -1.89419 3.55349 ]
25 : [ 2.5 -0.570126 -2.69882 3.09957 ]
26 : [ 2.6 -0.457327 -2.44855 3.97084 ]
27 : [ 2.7 -0.547152 -2.96466 3.74565 ]
28 : [ 2.8 -1.03909 -3.77407 2.8145 ]
29 : [ 2.9 -1.16762 -3.56618 2.0708 ]
30 : [ 3 -1.17434 -3.58149 2.72133 ]
31 : [ 3.1 -1.20701 -3.77758 2.59634 ]
32 : [ 3.2 -1.06077 -3.51233 2.99059 ]
33 : [ 3.3 -0.854425 -3.56587 3.84977 ]
34 : [ 3.4 -0.746225 -3.25163 3.78984 ]
35 : [ 3.5 -0.751303 -2.8855 2.17293 ]
36 : [ 3.6 -0.76871 -3.22555 2.6043 ]
37 : [ 3.7 -0.785071 -3.0213 2.22977 ]
38 : [ 3.8 -1.01864 -3.62582 2.10377 ]
39 : [ 3.9 -1.28943 -3.9701 0.942268 ]
40 : [ 4 -1.26066 -3.53436 0.112733 ]
41 : [ 4.1 -1.25395 -3.69861 0.808419 ]
42 : [ 4.2 -0.894493 -3.08022 1.26569 ]
43 : [ 4.3 -0.455211 -1.92828 0.955761 ]
44 : [ 4.4 -0.309508 -1.31784 0.854392 ]
45 : [ 4.5 -0.444123 -1.55432 0.655068 ]
46 : [ 4.6 -0.405314 -1.02929 -0.117283 ]
47 : [ 4.7 -0.254432 -0.837054 0.339528 ]
48 : [ 4.8 -0.329619 -1.2548 0.890985 ]
49 : [ 4.9 -0.268462 -1.00707 0.764362 ]
50 : [ 5 0.244302 -0.00866319 1.2013 ]
51 : [ 5.1 0.120926 -0.592781 1.75368 ]
52 : [ 5.2 0.00155769 -0.991475 2.57216 ]
53 : [ 5.3 0.0523917 -1.30825 3.60494 ]
54 : [ 5.4 -0.0378145 -1.25542 2.89598 ]
55 : [ 5.5 0.303558 -0.654641 3.83848 ]
56 : [ 5.6 -0.149753 -1.53091 2.62532 ]
57 : [ 5.7 0.118379 -1.10296 2.55458 ]
58 : [ 5.8 -0.179223 -2.0457 2.74593 ]
59 : [ 5.9 -0.187055 -2.20228 2.92888 ]
60 : [ 6 -0.274329 -2.61881 2.88448 ]
61 : [ 6.1 -0.731393 -3.26997 2.02929 ]
62 : [ 6.2 -0.516676 -3.19546 3.30564 ]
63 : [ 6.3 -0.539911 -3.23446 3.5899 ]
64 : [ 6.4 -0.513343 -3.6598 3.85531 ]
65 : [ 6.5 -0.0481492 -3.17257 5.57984 ]
66 : [ 6.6 -0.0807874 -3.02938 5.85546 ]
67 : [ 6.7 -0.044226 -2.60389 4.95175 ]
68 : [ 6.8 0.0976029 -2.17983 4.8201 ]
69 : [ 6.9 0.194935 -1.65836 4.61856 ]
70 : [ 7 0.433987 -1.4956 5.34284 ]
71 : [ 7.1 0.328068 -1.71071 5.49893 ]
72 : [ 7.2 0.334663 -1.48103 5.06111 ]
73 : [ 7.3 0.267362 -1.39993 4.78194 ]
74 : [ 7.4 0.675063 -1.06787 6.24478 ]
75 : [ 7.5 0.365057 -1.20023 5.75447 ]
76 : [ 7.6 0.179906 -1.48635 5.63179 ]
77 : [ 7.7 0.274081 -1.53397 6.57508 ]
78 : [ 7.8 0.00818434 -2.21031 6.74215 ]
79 : [ 7.9 -0.103329 -2.66695 6.30566 ]
80 : [ 8 0.0924666 -2.59682 7.15459 ]
81 : [ 8.1 -0.0412246 -3.02126 7.66173 ]
82 : [ 8.2 -0.0285497 -2.32352 6.05975 ]
83 : [ 8.3 -0.0432362 -2.09079 6.09406 ]
84 : [ 8.4 -0.258534 -2.40595 5.27857 ]
85 : [ 8.5 -0.207156 -2.11854 4.68501 ]
86 : [ 8.6 -0.214563 -2.26834 5.53857 ]
87 : [ 8.7 -0.335717 -2.42235 4.68066 ]
88 : [ 8.8 -0.478273 -2.75635 4.63558 ]
89 : [ 8.9 -0.676986 -3.08244 4.28803 ]
90 : [ 9 -0.326038 -2.30346 5.25113 ]
91 : [ 9.1 -0.267877 -1.77855 4.60729 ]
92 : [ 9.2 -0.191763 -1.30102 3.97967 ]
93 : [ 9.3 0.151833 -1.03152 3.97069 ]
94 : [ 9.4 0.181775 -1.05089 4.21128 ]
95 : [ 9.5 0.260766 -0.985526 4.67936 ]
96 : [ 9.6 0.264961 -0.87504 4.39665 ]
97 : [ 9.7 0.254113 -1.66098 5.45712 ]
98 : [ 9.8 0.0713794 -1.50565 4.50444 ]
99 : [ 9.9 -0.366252 -1.65963 3.51337 ]
field 3:
[ t y0 y1 y2 ]
0 : [ 0 0.777806 0.633321 2.4126 ]
1 : [ 0.1 1.36823 1.60765 2.80867 ]
2 : [ 0.2 0.947215 1.38878 1.28465 ]
3 : [ 0.3 1.07292 1.11856 2.33347 ]
4 : [ 0.4 1.13493 1.31944 2.05033 ]
5 : [ 0.5 0.977199 1.20591 1.71621 ]
6 : [ 0.6 0.707119 0.797283 1.06269 ]
7 : [ 0.7 0.251467 0.0605574 0.789151 ]
8 : [ 0.8 0.301473 0.228678 0.621647 ]
9 : [ 0.9 0.637232 1.14919 0.729316 ]
10 : [ 1 0.38359 0.879984 0.136325 ]
11 : [ 1.1 0.0113137 0.417653 -0.727225 ]
12 : [ 1.2 -0.269817 0.0245991 -1.25908 ]
13 : [ 1.3 -0.191298 0.776293 -2.01022 ]
14 : [ 1.4 -0.531607 0.241496 -2.83075 ]
15 : [ 1.5 -0.130314 0.973495 -1.87352 ]
16 : [ 1.6 -0.142019 1.1121 -2.09396 ]
17 : [ 1.7 -0.0086147 1.60135 -2.13817 ]
18 : [ 1.8 0.720538 2.81159 -1.35336 ]
19 : [ 1.9 0.860564 3.30617 -1.08714 ]
20 : [ 2 0.617804 3.00092 -1.70013 ]
21 : [ 2.1 0.434521 2.3589 -1.53156 ]
22 : [ 2.2 0.483242 2.19662 -0.743874 ]
23 : [ 2.3 0.667828 1.99796 0.37871 ]
24 : [ 2.4 0.704981 2.39245 -0.099556 ]
25 : [ 2.5 0.818464 2.78635 -0.46177 ]
26 : [ 2.6 0.742857 2.35223 -0.391554 ]
27 : [ 2.7 0.880681 2.6653 -0.0429157 ]
28 : [ 2.8 1.10923 2.76823 0.321712 ]
29 : [ 2.9 0.884427 2.20953 0.504686 ]
30 : [ 3 0.865257 1.83342 1.23649 ]
31 : [ 3.1 1.38618 2.60266 2.25851 ]
32 : [ 3.2 1.36388 2.69213 2.10682 ]
33 : [ 3.3 1.23316 2.13484 2.17645 ]
34 : [ 3.4 0.934672 1.66998 1.32199 ]
35 : [ 3.5 0.47125 0.752728 1.04074 ]
36 : [ 3.6 0.417033 0.700609 0.750181 ]
37 : [ 3.7 0.660555 1.35265 0.688969 ]
38 : [ 3.8 1.04951 1.84512 1.90665 ]
39 : [ 3.9 0.986691 2.21428 0.777934 ]
40 : [ 4 1.00632 2.35555 0.69738 ]
41 : [ 4.1 0.99775 2.54174 0.768981 ]
42 : [ 4.2 0.981169 2.10101 0.901544 ]
43 : [ 4.3 0.987447 1.75832 1.41287 ]
44 : [ 4.4 1.33526 1.99391 2.67663 ]
45 : [ 4.5 1.20275 2.03764 2.17492 ]
46 : [ 4.6 1.27609 2.34991 1.91218 ]
47 : [ 4.7 1.56944 2.47328 2.59521 ]
48 : [ 4.8 1.95313 2.96285 3.19101 ]
49 : [ 4.9 1.60226 2.29242 2.90634 ]
50 : [ 5 1.64938 2.54869 3.19453 ]
51 : [ 5.1 1.73541 2.51441 3.1385 ]
52 : [ 5.2 1.41049 1.98386 2.53049 ]
53 : [ 5.3 1.11232 1.38109 2.74469 ]
54 : [ 5.4 1.3226 1.88913 2.97036 ]
55 : [ 5.5 1.1027 1.23772 2.64972 ]
56 : [ 5.6 1.3843 1.94549 2.09869 ]
57 : [ 5.7 1.43799 1.90763 2.01311 ]
58 : [ 5.8 1.62781 2.05197 2.52992 ]
59 : [ 5.9 2.13933 3.54021 2.45534 ]
60 : [ 6 1.90671 3.18844 1.79594 ]
61 : [ 6.1 1.5689 2.15373 1.96386 ]
62 : [ 6.2 1.40991 2.09092 1.38971 ]
63 : [ 6.3 1.22126 1.61826 1.62369 ]
64 : [ 6.4 1.20603 1.51729 2.13655 ]
65 : [ 6.5 0.88185 1.27122 0.936263 ]
66 : [ 6.6 0.890478 1.20575 1.04111 ]
67 : [ 6.7 0.520416 0.618978 -0.0265115 ]
68 : [ 6.8 0.501826 0.234848 0.513341 ]
69 : [ 6.9 0.599782 0.385516 1.20903 ]
70 : [ 7 0.777556 0.506003 2.009 ]
71 : [ 7.1 0.824834 0.472668 2.30983 ]
72 : [ 7.2 0.820378 0.59973 1.92687 ]
73 : [ 7.3 0.829887 -0.109672 2.64098 ]
74 : [ 7.4 0.908973 -0.00691211 2.42898 ]
75 : [ 7.5 0.841506 -0.085377 2.57957 ]
76 : [ 7.6 0.694607 -0.454489 1.78877 ]
77 : [ 7.7 0.556973 -0.672403 1.34532 ]
78 : [ 7.8 0.692025 -0.649618 2.05483 ]
79 : [ 7.9 0.557759 -0.938973 2.26882 ]
80 : [ 8 0.534285 -0.854622 2.31908 ]
81 : [ 8.1 0.686769 -0.816401 2.43432 ]
82 : [ 8.2 0.852095 -0.501869 2.38622 ]
83 : [ 8.3 0.520741 -0.630763 1.02328 ]
84 : [ 8.4 0.803749 -0.00643196 1.08337 ]
85 : [ 8.5 0.926888 0.114801 0.671732 ]
86 : [ 8.6 0.951359 0.168434 0.558765 ]
87 : [ 8.7 0.670413 -0.210171 -0.0262592 ]
88 : [ 8.8 0.688657 -0.137184 -0.234336 ]
89 : [ 8.9 0.784117 -0.155047 -0.0599432 ]
90 : [ 9 0.424233 -0.424827 -0.389897 ]
91 : [ 9.1 0.314548 -0.384317 -0.498821 ]
92 : [ 9.2 0.492231 -0.26117 0.324217 ]
93 : [ 9.3 0.389305 -0.501133 0.37562 ]
94 : [ 9.4 0.225928 -0.584368 -0.294781 ]
95 : [ 9.5 0.850707 0.635841 0.234732 ]
96 : [ 9.6 0.697927 0.611314 -0.182137 ]
97 : [ 9.7 0.775515 0.903381 -0.36474 ]
98 : [ 9.8 0.781719 0.688609 -0.0437223 ]
99 : [ 9.9 0.969621 0.738295 0.718468 ]
field 4:
[ t y0 y1 y2 ]
0 : [ 0 -0.822581 -3.38533 3.17745 ]
1 : [ 0.1 -0.764965 -3.21841 3.02772 ]
2 : [ 0.2 -0.919249 -3.57915 2.82843 ]
3 : [ 0.3 -0.4063 -2.72855 3.21148 ]
4 : [ 0.4 -0.353665 -2.60101 2.82587 ]
5 : [ 0.5 -0.329648 -2.31566 2.42834 ]
6 : [ 0.6 -0.246855 -2.32663 3.07672 ]
7 : [ 0.7 -0.290723 -2.32526 2.99387 ]
8 : [ 0.8 -0.52248 -2.29923 2.05271 ]
9 : [ 0.9 -0.830163 -3.21404 2.14349 ]
10 : [ 1 -0.792481 -3.21643 1.84683 ]
11 : [ 1.1 -0.513092 -2.36381 1.93928 ]
12 : [ 1.2 -0.218632 -1.88874 2.61198 ]
13 : [ 1.3 -0.626641 -3.01326 2.53472 ]
14 : [ 1.4 -0.212351 -2.42068 3.08382 ]
15 : [ 1.5 -0.223216 -2.45487 2.62214 ]
16 : [ 1.6 -0.286829 -2.45937 2.42543 ]
17 : [ 1.7 0.218356 -1.53772 3.55017 ]
18 : [ 1.8 0.0768638 -2.20273 3.99554 ]
19 : [ 1.9 0.615184 -1.65187 4.41888 ]
20 : [ 2 0.53611 -1.56462 3.98883 ]
21 : [ 2.1 0.274946 -1.86095 3.19251 ]
22 : [ 2.2 -0.0134144 -1.81931 1.93051 ]
23 : [ 2.3 -0.455287 -1.82351 0.482754 ]
24 : [ 2.4 -0.289667 -1.74288 1.0484 ]
25 : [ 2.5 -0.245158 -1.97955 1.85627 ]
26 : [ 2.6 -0.43888 -1.79079 0.874456 ]
27 : [ 2.7 -0.0690832 -1.76841 3.03447 ]
28 : [ 2.8 0.116529 -1.62501 3.66412 ]
29 : [ 2.9 0.0195624 -1.77957 3.57185 ]
30 : [ 3 0.124769 -1.69751 3.95693 ]
31 : [ 3.1 0.369399 -1.42814 4.88382 ]
32 : [ 3.2 0.363284 -1.26894 4.99765 ]
33 : [ 3.3 0.113708 -1.42237 4.18954 ]
34 : [ 3.4 0.109084 -1.73057 4.7748 ]
35 : [ 3.5 0.132658 -1.4864 4.1432 ]
36 : [ 3.6 0.0551816 -1.72257 3.26202 ]
37 : [ 3.7 -0.0528523 -1.9588 3.0209 ]
38 : [ 3.8 0.180314 -1.31338 3.10572 ]
39 : [ 3.9 -0.00385172 -1.78826 2.77384 ]
40 : [ 4 0.105321 -1.74833 2.76025 ]
41 : [ 4.1 0.306006 -1.35339 2.97956 ]
42 : [ 4.2 0.360723 -1.31851 3.40128 ]
43 : [ 4.3 0.404868 -0.841791 2.84111 ]
44 : [ 4.4 0.609789 -0.659977 4.1224 ]
45 : [ 4.5 0.403054 -1.01263 3.7577 ]
46 : [ 4.6 0.138154 -1.63012 4.42473 ]
47 : [ 4.7 0.193171 -1.50796 4.09857 ]
48 : [ 4.8 0.223781 -1.2877 4.01609 ]
49 : [ 4.9 0.150234 -1.32572 3.46369 ]
50 : [ 5 -0.0754317 -1.67728 2.67018 ]
51 : [ 5.1 -0.239763 -1.68353 1.81679 ]
52 : [ 5.2 -0.12046 -1.64713 1.73325 ]
53 : [ 5.3 0.00212281 -1.51147 2.32254 ]
54 : [ 5.4 -0.0770249 -1.53349 2.14895 ]
55 : [ 5.5 -0.118169 -1.58938 1.50984 ]
56 : [ 5.6 -0.202663 -1.48974 0.888691 ]
57 : [ 5.7 -0.565117 -1.95106 -0.261776 ]
58 : [ 5.8 -0.671584 -2.70514 0.274562 ]
59 : [ 5.9 -1.05221 -2.92705 -0.912402 ]
60 : [ 6 -1.00944 -3.10851 -0.546213 ]
61 : [ 6.1 -0.411493 -2.59645 1.48006 ]
62 : [ 6.2 -0.505201 -3.08161 2.19783 ]
63 : [ 6.3 -0.945031 -3.78004 1.46057 ]
64 : [ 6.4 -0.957028 -3.6055 0.961176 ]
65 : [ 6.5 -0.828205 -3.27948 0.826345 ]
66 : [ 6.6 -0.978473 -3.2831 0.188968 ]
67 : [ 6.7 -1.07901 -3.56967 0.351471 ]
68 : [ 6.8 -1.28017 -4.19855 0.275441 ]
69 : [ 6.9 -1.19627 -3.99275 0.608278 ]
70 : [ 7 -0.878371 -3.79845 1.03866 ]
71 : [ 7.1 -1.06071 -4.19069 0.391432 ]
72 : [ 7.2 -1.23659 -4.05328 -0.715348 ]
73 : [ 7.3 -1.47305 -4.09336 -1.58378 ]
74 : [ 7.4 -1.66927 -4.10318 -2.54233 ]
75 : [ 7.5 -1.36572 -3.96986 -1.7476 ]
76 : [ 7.6 -0.911716 -3.65614 -0.33664 ]
77 : [ 7.7 -0.889474 -3.35428 -0.418974 ]
78 : [ 7.8 -0.929257 -3.79706 0.47638 ]
79 : [ 7.9 -1.22149 -4.22316 0.390384 ]
80 : [ 8 -1.12841 -4.41919 0.942619 ]
81 : [ 8.1 -1.03064 -4.77376 2.14636 ]
82 : [ 8.2 -0.946757 -4.24887 1.76256 ]
83 : [ 8.3 -1.29322 -4.48875 0.609808 ]
84 : [ 8.4 -1.51126 -4.68755 -0.165456 ]
85 : [ 8.5 -1.50935 -5.12393 0.0345642 ]
86 : [ 8.6 -1.6158 -4.98781 -0.361179 ]
87 : [ 8.7 -1.56566 -4.74606 -0.35181 ]
88 : [ 8.8 -1.44246 -4.80918 0.181732 ]
89 : [ 8.9 -2.08601 -5.95649 -1.06058 ]
90 : [ 9 -1.97674 -6.07837 -0.608744 ]
91 : [ 9.1 -2.18485 -5.99341 -1.15887 ]
92 : [ 9.2 -2.02578 -4.96448 -1.84159 ]
93 : [ 9.3 -1.77397 -4.69135 -0.949243 ]
94 : [ 9.4 -1.91564 -5.09033 -1.1072 ]
95 : [ 9.5 -1.91365 -4.92139 -1.28674 ]
96 : [ 9.6 -1.49444 -4.29969 -0.228376 ]
97 : [ 9.7 -1.53401 -4.22255 -0.195646 ]
98 : [ 9.8 -0.958631 -3.03191 0.337525 ]
99 : [ 9.9 -0.790083 -3.21956 1.28747 ]
field 5:
[ t y0 y1 y2 ]
0 : [ 0 -0.212309 -1.28686 3.35953 ]
1 : [ 0.1 -0.495142 -1.617 2.39343 ]
2 : [ 0.2 -0.321746 -1.57977 3.34985 ]
3 : [ 0.3 -0.280887 -1.47742 3.73608 ]
4 : [ 0.4 -0.339082 -1.38208 3.43376 ]
5 : [ 0.5 -0.449297 -1.28132 2.64645 ]
6 : [ 0.6 -0.660438 -1.93186 2.1702 ]
7 : [ 0.7 -0.55079 -1.79606 2.303 ]
8 : [ 0.8 -0.771184 -2.06446 1.84658 ]
9 : [ 0.9 -0.864086 -2.28105 1.83846 ]
10 : [ 1 -1.21873 -3.05747 0.874573 ]
11 : [ 1.1 -1.36591 -3.06952 0.613941 ]
12 : [ 1.2 -1.29026 -3.02999 0.834321 ]
13 : [ 1.3 -1.0616 -2.3471 0.833546 ]
14 : [ 1.4 -0.928231 -1.87896 0.383017 ]
15 : [ 1.5 -0.923025 -1.78542 0.10168 ]
16 : [ 1.6 -0.846703 -2.28962 1.00191 ]
17 : [ 1.7 -0.867386 -2.42281 0.973257 ]
18 : [ 1.8 -0.911639 -2.7372 1.08734 ]
19 : [ 1.9 -0.858717 -2.25471 0.0540253 ]
20 : [ 2 -0.579348 -1.65145 0.588467 ]
21 : [ 2.1 -0.713015 -2.50694 1.61835 ]
22 : [ 2.2 -0.755549 -2.26692 1.15046 ]
23 : [ 2.3 -0.960213 -2.46639 0.415498 ]
24 : [ 2.4 -1.13412 -2.65854 -0.278165 ]
25 : [ 2.5 -1.00697 -2.17766 -0.856281 ]
26 : [ 2.6 -1.48573 -2.20926 -2.72741 ]
27 : [ 2.7 -1.27283 -2.05399 -1.78278 ]
28 : [ 2.8 -1.01198 -1.35545 -1.36136 ]
29 : [ 2.9 -0.983514 -1.14701 -2.40713 ]
30 : [ 3 -1.13405 -1.43528 -2.50945 ]
31 : [ 3.1 -1.21544 -1.95333 -1.96712 ]
32 : [ 3.2 -0.512122 -1.01294 -0.394668 ]
33 : [ 3.3 -0.496313 -1.3734 0.517621 ]
34 : [ 3.4 -0.4137 -1.17167 0.57661 ]
35 : [ 3.5 0.046463 -0.257024 0.728426 ]
36 : [ 3.6 -0.191097 -0.783581 0.728792 ]
37 : [ 3.7 -0.0573507 -0.603783 0.865742 ]
38 : [ 3.8 -0.226529 -0.808485 -0.0259844 ]
39 : [ 3.9 -0.430787 -0.709262 -0.840229 ]
40 : [ 4 -0.269906 -0.934256 0.176929 ]
41 : [ 4.1 -0.107723 -0.269669 -0.210763 ]
42 : [ 4.2 -0.0321979 0.0649369 -0.467066 ]
43 : [ 4.3 0.0103193 0.211259 -0.061748 ]
44 : [ 4.4 0.101364 0.681378 -0.439357 ]
45 : [ 4.5 0.0405309 0.766474 -0.952769 ]
46 : [ 4.6 -0.198904 0.568553 -1.88348 ]
47 : [ 4.7 -0.359568 0.133219 -1.7684 ]
48 : [ 4.8 -0.202761 0.312877 -1.17278 ]
49 : [ 4.9 -0.127712 0.25999 -0.488037 ]
50 : [ 5 0.292232 1.23747 -0.211232 ]
51 : [ 5.1 0.67553 2.05414 -0.103846 ]
52 : [ 5.2 0.831841 2.04972 1.02741 ]
53 : [ 5.3 0.785468 1.66169 1.45866 ]
54 : [ 5.4 0.99521 1.87267 1.78776 ]
55 : [ 5.5 0.834128 1.97063 0.931872 ]
56 : [ 5.6 0.923476 1.92967 1.76143 ]
57 : [ 5.7 0.900481 1.99016 1.76831 ]
58 : [ 5.8 0.683161 2.04931 0.199319 ]
59 : [ 5.9 0.846712 1.80581 0.982121 ]
60 : [ 6 0.744142 1.62229 0.95719 ]
61 : [ 6.1 0.725526 1.54013 0.755677 ]
62 : [ 6.2 0.791787 1.6186 1.3681 ]
63 : [ 6.3 0.919713 2.11056 1.65412 ]
64 : [ 6.4 1.21894 3.03856 1.45026 ]
65 : [ 6.5 1.47764 3.2746 2.42866 ]
66 : [ 6.6 1.51623 3.67775 1.69727 ]
67 : [ 6.7 1.69537 3.41998 3.15131 ]
68 : [ 6.8 1.89831 3.58897 3.93102 ]
69 : [ 6.9 1.6356 2.81839 4.32637 ]
70 : [ 7 1.88683 3.22431 4.88067 ]
71 : [ 7.1 2.10189 3.19445 5.69153 ]
72 : [ 7.2 2.16236 3.33178 5.77627 ]
73 : [ 7.3 1.97147 3.10059 5.47469 ]
74 : [ 7.4 2.03261 3.01067 6.07519 ]
75 : [ 7.5 2.3952 3.68545 6.36231 ]
76 : [ 7.6 2.58985 3.74307 6.94138 ]
77 : [ 7.7 2.66304 4.50022 5.69499 ]
78 : [ 7.8 2.63339 4.27649 5.88016 ]
79 : [ 7.9 2.65622 4.08567 6.88335 ]
80 : [ 8 2.63575 3.87068 6.73642 ]
81 : [ 8.1 2.5296 3.53708 6.87766 ]
82 : [ 8.2 2.46442 3.23276 6.76289 ]
83 : [ 8.3 2.55831 3.314 7.33437 ]
84 : [ 8.4 2.63462 3.96606 6.71181 ]
85 : [ 8.5 2.77317 4.14398 7.17956 ]
86 : [ 8.6 3.21119 4.62658 8.38056 ]
87 : [ 8.7 3.27681 5.09352 7.5012 ]
88 : [ 8.8 3.21911 5.16729 6.73039 ]
89 : [ 8.9 2.77654 4.20587 6.05043 ]
90 : [ 9 2.80412 4.19104 5.38532 ]
91 : [ 9.1 2.5191 3.78562 4.65409 ]
92 : [ 9.2 2.92427 4.39245 5.17132 ]
93 : [ 9.3 2.89832 4.43247 4.97862 ]
94 : [ 9.4 2.8076 4.05451 5.44177 ]
95 : [ 9.5 2.79691 4.38398 5.058 ]
96 : [ 9.6 2.94027 4.53246 5.59932 ]
97 : [ 9.7 3.37863 5.4837 5.90757 ]
98 : [ 9.8 3.27759 5.4613 5.19644 ]
99 : [ 9.9 3.01924 4.97646 5.09735 ]
field 6:
[ t y0 y1 y2 ]
0 : [ 0 0.0438062 -2.67495 2.97559 ]
1 : [ 0.1 0.206722 -2.43582 3.4483 ]
2 : [ 0.2 0.345143 -2.27926 4.38722 ]
3 : [ 0.3 0.498321 -1.84233 5.05993 ]
4 : [ 0.4 0.627288 -1.61727 5.22021 ]
5 : [ 0.5 0.34398 -1.77787 4.49041 ]
6 : [ 0.6 0.115389 -1.92648 4.10979 ]
7 : [ 0.7 0.0893845 -1.97787 4.28655 ]
8 : [ 0.8 -0.091618 -1.86798 3.81012 ]
9 : [ 0.9 -0.408591 -2.20217 2.77609 ]
10 : [ 1 -0.364861 -1.42572 1.81809 ]
11 : [ 1.1 -0.928188 -1.93308 -0.101457 ]
12 : [ 1.2 -1.11362 -2.31157 -0.583772 ]
13 : [ 1.3 -1.0562 -2.0588 -1.22888 ]
14 : [ 1.4 -1.07901 -2.13061 -1.37685 ]
15 : [ 1.5 -1.40322 -2.61036 -2.24307 ]
16 : [ 1.6 -1.47578 -2.40054 -3.19338 ]
17 : [ 1.7 -1.8494 -3.16231 -3.23837 ]
18 : [ 1.8 -1.72008 -2.86598 -2.99693 ]
19 : [ 1.9 -1.90061 -2.68878 -4.13234 ]
20 : [ 2 -1.7852 -2.28217 -3.87302 ]
21 : [ 2.1 -1.81208 -1.86821 -4.95617 ]
22 : [ 2.2 -1.67436 -1.97804 -4.26869 ]
23 : [ 2.3 -1.29472 -1.35145 -3.28068 ]
24 : [ 2.4 -1.16133 -1.26753 -3.51972 ]
25 : [ 2.5 -0.934675 -1.30782 -2.95847 ]
26 : [ 2.6 -1.08102 -1.38192 -2.88142 ]
27 : [ 2.7 -1.047 -1.51952 -2.68465 ]
28 : [ 2.8 -0.995724 -1.60043 -2.03999 ]
29 : [ 2.9 -1.1692 -2.06328 -1.54335 ]
30 : [ 3 -0.704401 -1.52012 -0.207344 ]
31 : [ 3.1 -0.773108 -1.30772 -1.29902 ]
32 : [ 3.2 -0.809901 -1.27109 -1.46194 ]
33 : [ 3.3 -0.441259 -0.904414 -0.504793 ]
34 : [ 3.4 -0.610974 -1.05338 -0.604099 ]
35 : [ 3.5 -0.583676 -1.22739 -0.471196 ]
36 : [ 3.6 -0.362845 -0.835136 0.461639 ]
37 : [ 3.7 -0.648778 -1.17504 -0.256108 ]
38 : [ 3.8 -0.89374 -1.20829 -1.16874 ]
39 : [ 3.9 -0.590781 -1.01548 0.0279673 ]
40 : [ 4 -0.681658 -1.53524 0.425923 ]
41 : [ 4.1 -0.700744 -1.71608 0.736651 ]
42 : [ 4.2 -0.416669 -1.48632 2.02953 ]
43 : [ 4.3 -0.168841 -1.16359 2.38524 ]
44 : [ 4.4 -0.597351 -2.01663 2.316 ]
45 : [ 4.5 -0.484375 -1.45685 1.96832 ]
46 : [ 4.6 0.0181067 -0.303399 2.17052 ]
47 : [ 4.7 -0.0574248 -0.799851 2.25678 ]
48 : [ 4.8 -0.0205092 -0.869623 3.09318 ]
49 : [ 4.9 -0.388967 -1.99585 3.0531 ]
50 : [ 5 -0.299432 -1.7751 3.18271 ]
51 : [ 5.1 -0.342937 -1.92139 3.44051 ]
52 : [ 5.2 -0.0878849 -1.69572 4.43941 ]
53 : [ 5.3 -0.204221 -1.86846 4.57518 ]
54 : [ 5.4 -0.0661361 -1.44626 4.23916 ]
55 : [ 5.5 -0.374746 -1.98033 3.59365 ]
56 : [ 5.6 -0.422125 -2.35077 3.8687 ]
57 : [ 5.7 -0.401616 -2.46204 4.31578 ]
58 : [ 5.8 -0.236656 -1.91969 3.78224 ]
59 : [ 5.9 -0.311917 -1.7907 3.24625 ]
60 : [ 6 -0.143269 -1.35118 3.36664 ]
61 : [ 6.1 -0.0764898 -0.765777 2.79282 ]
62 : [ 6.2 0.105152 -0.246142 2.73005 ]
63 : [ 6.3 0.395102 0.231726 2.98101 ]
64 : [ 6.4 0.201327 -0.280479 2.84447 ]
65 : [ 6.5 -0.126292 -0.603569 1.31447 ]
66 : [ 6.6 -0.25081 -0.402585 0.102583 ]
67 : [ 6.7 0.0532412 0.127886 0.417958 ]
68 : [ 6.8 0.149244 0.799545 -0.726877 ]
69 : [ 6.9 0.19808 1.14112 -1.02806 ]
70 : [ 7 0.336405 0.966074 -0.628709 ]
71 : [ 7.1 0.0375072 0.416018 -0.89786 ]
72 : [ 7.2 0.0783011 0.697649 -1.21995 ]
73 : [ 7.3 0.247444 0.824878 -1.17972 ]
74 : [ 7.4 0.377774 1.06458 -0.81007 ]
75 : [ 7.5 0.0174531 0.574918 -1.35465 ]
76 : [ 7.6 0.258641 0.450799 -0.277452 ]
77 : [ 7.7 0.634024 1.11134 -0.145334 ]
78 : [ 7.8 0.573628 0.829142 0.463488 ]
79 : [ 7.9 0.278134 0.191633 -0.209493 ]
80 : [ 8 0.429698 0.182045 0.462283 ]
81 : [ 8.1 0.348732 0.538934 -0.562239 ]
82 : [ 8.2 0.618875 1.10894 -0.134397 ]
83 : [ 8.3 0.766146 1.4153 0.448351 ]
84 : [ 8.4 1.06511 1.64368 1.9965 ]
85 : [ 8.5 1.21724 2.07518 2.15007 ]
86 : [ 8.6 1.19685 1.92077 2.53898 ]
87 : [ 8.7 1.4106 2.34628 2.48412 ]
88 : [ 8.8 1.40885 2.3314 1.92779 ]
89 : [ 8.9 1.4291 2.29813 2.49275 ]
90 : [ 9 1.09102 1.53928 2.42066 ]
91 : [ 9.1 1.35077 1.59319 4.3981 ]
92 : [ 9.2 1.16705 1.27289 3.91526 ]
93 : [ 9.3 1.4142 2.17783 3.46127 ]
94 : [ 9.4 1.50217 2.82474 3.20762 ]
95 : [ 9.5 1.53024 3.01782 3.47848 ]
96 : [ 9.6 1.41887 2.69177 3.64741 ]
97 : [ 9.7 1.22173 2.11428 3.89131 ]
98 : [ 9.8 1.34609 2.13463 4.33726 ]
99 : [ 9.9 1.24275 2.22741 3.55362 ]
field 7:
[ t y0 y1 y2 ]
0 : [ 0 -0.52394 -1.03817 1.12547 ]
1 : [ 0.1 -0.951099 -1.22237 -0.506541 ]
2 : [ 0.2 -0.631235 -0.521762 -0.576845 ]
3 : [ 0.3 -0.917055 -1.28351 -1.10856 ]
4 : [ 0.4 -0.848003 -1.22784 -1.39073 ]
5 : [ 0.5 -0.738664 -0.882282 -1.54321 ]
6 : [ 0.6 -0.704866 -0.800146 -0.911271 ]
7 : [ 0.7 -0.741119 -0.555339 -1.26334 ]
8 : [ 0.8 -0.499308 0.0535209 -0.960553 ]
9 : [ 0.9 -0.380228 0.537318 -2.10276 ]
10 : [ 1 -0.486153 0.606184 -2.29961 ]
11 : [ 1.1 -0.484207 0.310443 -2.00345 ]
12 : [ 1.2 -0.567905 -0.1459 -1.94799 ]
13 : [ 1.3 -0.507435 -0.0753313 -2.36079 ]
14 : [ 1.4 -0.488666 -0.392536 -2.105 ]
15 : [ 1.5 -0.871368 -0.932758 -3.0111 ]
16 : [ 1.6 -0.632409 -0.86146 -2.11827 ]
17 : [ 1.7 -0.537187 -0.711844 -2.52475 ]
18 : [ 1.8 -0.841418 -1.3069 -2.7747 ]
19 : [ 1.9 -0.826086 -1.726 -1.63794 ]
20 : [ 2 -0.413605 -0.991443 -1.12754 ]
21 : [ 2.1 -0.279922 -0.528044 -0.940934 ]
22 : [ 2.2 -0.296516 -0.404883 -0.840753 ]
23 : [ 2.3 -0.104814 0.0134931 -0.852487 ]
24 : [ 2.4 0.131911 0.254094 0.157267 ]
25 : [ 2.5 -0.309044 -0.726803 -0.191075 ]
26 : [ 2.6 -0.461059 -0.684365 -1.07475 ]
27 : [ 2.7 -0.295832 -0.139577 -1.16716 ]
28 : [ 2.8 -0.431537 0.0417157 -1.83454 ]
29 : [ 2.9 -0.188176 0.35968 -1.30682 ]
30 : [ 3 0.0604596 0.806216 -0.531134 ]
31 : [ 3.1 0.00180539 0.806981 -0.196585 ]
32 : [ 3.2 -0.171655 0.447405 -0.143562 ]
33 : [ 3.3 -0.10148 0.845575 -0.453837 ]
34 : [ 3.4 0.0819839 0.952384 0.117463 ]
35 : [ 3.5 0.293266 1.56784 -0.266818 ]
36 : [ 3.6 0.12743 1.4868 -0.786147 ]
37 : [ 3.7 0.466983 2.3957 -1.31647 ]
38 : [ 3.8 0.498852 2.70423 -1.69039 ]
39 : [ 3.9 0.517715 2.67199 -1.19075 ]
40 : [ 4 0.319782 2.89226 -3.00776 ]
41 : [ 4.1 0.460624 3.17845 -1.99137 ]
42 : [ 4.2 0.615436 3.16022 -1.13428 ]
43 : [ 4.3 0.658356 3.64631 -1.51205 ]
44 : [ 4.4 0.776467 4.18693 -2.0993 ]
45 : [ 4.5 0.932176 4.64795 -2.42278 ]
46 : [ 4.6 0.787052 3.96125 -1.64478 ]
47 : [ 4.7 0.650904 3.4673 -1.44516 ]
48 : [ 4.8 0.362842 2.99618 -2.72556 ]
49 : [ 4.9 0.399547 3.00555 -2.97763 ]
50 : [ 5 -0.230109 1.87448 -3.76503 ]
51 : [ 5.1 -0.0165572 2.22329 -3.01272 ]
52 : [ 5.2 0.0366814 2.02998 -2.60657 ]
53 : [ 5.3 0.121577 2.45675 -2.16806 ]
54 : [ 5.4 -0.123728 1.81554 -1.83247 ]
55 : [ 5.5 -0.26588 1.52453 -2.1384 ]
56 : [ 5.6 0.0727767 1.7691 -1.19956 ]
57 : [ 5.7 -0.0577158 1.09629 -0.351573 ]
58 : [ 5.8 0.200342 1.45291 0.452063 ]
59 : [ 5.9 0.334199 1.88954 0.757609 ]
60 : [ 6 0.295481 1.35276 1.60793 ]
61 : [ 6.1 0.731304 1.87669 3.29961 ]
62 : [ 6.2 0.88095 2.1014 3.59861 ]
63 : [ 6.3 0.930073 1.89656 3.60608 ]
64 : [ 6.4 0.65586 1.36233 3.07437 ]
65 : [ 6.5 0.71072 1.27462 3.73141 ]
66 : [ 6.6 0.698093 1.30929 3.50932 ]
67 : [ 6.7 0.838578 1.42656 3.40365 ]
68 : [ 6.8 0.565045 1.57293 1.78247 ]
69 : [ 6.9 0.644638 1.41199 1.89813 ]
70 : [ 7 0.520274 1.37798 0.995042 ]
71 : [ 7.1 0.643576 1.72351 0.868283 ]
72 : [ 7.2 0.359711 1.43703 -0.342423 ]
73 : [ 7.3 0.123182 0.930655 -0.510537 ]
74 : [ 7.4 0.200682 0.970461 0.0267946 ]
75 : [ 7.5 0.297255 1.28612 0.0134448 ]
76 : [ 7.6 0.308684 1.18565 0.546723 ]
77 : [ 7.7 -0.216014 0.479698 -0.0928282 ]
78 : [ 7.8 -0.0767803 0.319646 0.705705 ]
79 : [ 7.9 0.0750018 0.978832 0.493504 ]
80 : [ 8 0.34318 1.19578 0.95646 ]
81 : [ 8.1 0.280718 0.866285 1.56169 ]
82 : [ 8.2 0.168019 0.766418 1.11605 ]
83 : [ 8.3 -0.00327306 0.905089 0.367148 ]
84 : [ 8.4 -0.311306 0.65138 -0.415873 ]
85 : [ 8.5 -0.15369 0.568894 0.517357 ]
86 : [ 8.6 -0.157315 0.0221789 1.15707 ]
87 : [ 8.7 0.110092 0.372988 1.47273 ]
88 : [ 8.8 0.10466 0.719084 0.768473 ]
89 : [ 8.9 -0.0636823 0.156303 0.725296 ]
90 : [ 9 -0.388973 -0.6999 0.481413 ]
91 : [ 9.1 -0.246446 -0.42493 0.83611 ]
92 : [ 9.2 -0.25661 -0.737731 1.44054 ]
93 : [ 9.3 -0.158546 -0.582525 1.07914 ]
94 : [ 9.4 -0.174784 -0.444771 0.774052 ]
95 : [ 9.5 -0.158255 -0.294574 0.479452 ]
96 : [ 9.6 0.201951 0.597041 0.186154 ]
97 : [ 9.7 -0.0317783 0.388422 -1.0048 ]
98 : [ 9.8 0.0401922 0.562728 -0.708297 ]
99 : [ 9.9 -0.0410724 0.373557 -0.736367 ]
field 8:
[ t y0 y1 y2 ]
0 : [ 0 -0.28013 -0.41077 -2.65114 ]
1 : [ 0.1 -0.219741 -0.258361 -2.27342 ]
2 : [ 0.2 0.0393037 0.0954386 -1.34866 ]
3 : [ 0.3 0.345957 0.596396 -0.324803 ]
4 : [ 0.4 0.723213 1.13334 0.903424 ]
5 : [ 0.5 0.699154 1.12293 0.768917 ]
6 : [ 0.6 0.575624 1.08142 0.313915 ]
7 : [ 0.7 0.733541 1.38178 -0.0859151 ]
8 : [ 0.8 0.615509 1.07522 0.154639 ]
9 : [ 0.9 0.0950493 0.0348127 -0.242451 ]
10 : [ 1 -0.286293 -0.250398 -1.4582 ]
11 : [ 1.1 -0.427128 -0.0560359 -2.09385 ]
12 : [ 1.2 -0.13881 0.739986 -2.14865 ]
13 : [ 1.3 -0.67254 -0.313349 -2.46771 ]
14 : [ 1.4 -0.810317 -0.881279 -1.84834 ]
15 : [ 1.5 -0.970582 -1.24736 -2.23099 ]
16 : [ 1.6 -0.732972 -0.827649 -2.24161 ]
17 : [ 1.7 -0.806236 -0.934698 -1.98769 ]
18 : [ 1.8 -0.909729 -0.749508 -2.31771 ]
19 : [ 1.9 -0.782716 -0.531512 -1.918 ]
20 : [ 2 -0.815254 -0.693039 -2.34298 ]
21 : [ 2.1 -0.437162 -0.0777408 -2.07368 ]
22 : [ 2.2 -0.596517 -0.221495 -2.78455 ]
23 : [ 2.3 -0.648298 -0.11962 -3.73383 ]
24 : [ 2.4 -0.412529 0.565853 -3.863 ]
25 : [ 2.5 -0.715933 0.437462 -4.89482 ]
26 : [ 2.6 -0.617871 0.734653 -4.51015 ]
27 : [ 2.7 -0.75106 0.948356 -5.68681 ]
28 : [ 2.8 -0.64107 0.501683 -4.95739 ]
29 : [ 2.9 -0.622448 0.719202 -5.08755 ]
30 : [ 3 -0.347411 1.15921 -4.23848 ]
31 : [ 3.1 -0.331793 1.47289 -5.0361 ]
32 : [ 3.2 -0.70969 0.850917 -5.41513 ]
33 : [ 3.3 -0.309254 1.66195 -4.62208 ]
34 : [ 3.4 -0.189186 1.80592 -3.78302 ]
35 : [ 3.5 0.125673 2.55092 -4.47905 ]
36 : [ 3.6 -0.164948 1.81741 -4.62824 ]
37 : [ 3.7 -0.260316 1.75649 -4.76006 ]
38 : [ 3.8 -0.00342717 1.81459 -3.62201 ]
39 : [ 3.9 0.0121458 2.28542 -4.11886 ]
40 : [ 4 0.349811 2.79047 -3.52205 ]
41 : [ 4.1 0.440951 3.00779 -3.6262 ]
42 : [ 4.2 0.747135 3.44034 -3.09242 ]
43 : [ 4.3 0.361238 2.81942 -3.86167 ]
44 : [ 4.4 0.230359 2.82456 -4.96496 ]
45 : [ 4.5 -0.13428 2.03391 -5.19415 ]
46 : [ 4.6 -0.116433 1.97348 -4.89036 ]
47 : [ 4.7 0.310348 2.82751 -4.65934 ]
48 : [ 4.8 -0.0232051 2.31633 -4.85603 ]
49 : [ 4.9 0.0910822 2.16777 -4.00055 ]
50 : [ 5 -0.355681 0.996149 -4.30182 ]
51 : [ 5.1 -0.575756 0.953649 -5.20346 ]
52 : [ 5.2 -0.238409 1.39455 -4.68869 ]
53 : [ 5.3 0.0528563 1.16851 -3.20809 ]
54 : [ 5.4 0.15172 1.47518 -3.52365 ]
55 : [ 5.5 -0.158707 1.17491 -4.45892 ]
56 : [ 5.6 -0.147334 0.864313 -3.83877 ]
57 : [ 5.7 0.000268074 1.15239 -3.94507 ]
58 : [ 5.8 -0.31455 0.965305 -4.81291 ]
59 : [ 5.9 -0.256753 1.18367 -5.15134 ]
60 : [ 6 -0.29116 1.05211 -5.17281 ]
61 : [ 6.1 -0.481032 0.979934 -5.66436 ]
62 : [ 6.2 -0.732435 0.85789 -6.49446 ]
63 : [ 6.3 -0.956405 0.549653 -7.1338 ]
64 : [ 6.4 -1.31599 0.00591372 -7.51478 ]
65 : [ 6.5 -1.52005 -0.592956 -7.51756 ]
66 : [ 6.6 -1.70171 -0.907197 -8.02372 ]
67 : [ 6.7 -1.67955 -0.7829 -8.54689 ]
68 : [ 6.8 -1.4331 -0.323958 -8.5926 ]
69 : [ 6.9 -0.976147 0.449084 -8.00712 ]
70 : [ 7 -0.808471 0.167315 -6.89889 ]
71 : [ 7.1 -0.881379 -0.378553 -6.30179 ]
72 : [ 7.2 -1.0121 -0.945111 -5.79534 ]
73 : [ 7.3 -1.16562 -1.42533 -5.71863 ]
74 : [ 7.4 -1.00114 -1.23127 -4.66092 ]
75 : [ 7.5 -0.923701 -1.11627 -4.19445 ]
76 : [ 7.6 -1.08899 -1.40434 -3.99633 ]
77 : [ 7.7 -1.25384 -1.42615 -5.57159 ]
78 : [ 7.8 -1.58065 -1.56765 -7.17031 ]
79 : [ 7.9 -2.0904 -2.6861 -7.75466 ]
80 : [ 8 -1.46019 -1.78608 -6.55361 ]
81 : [ 8.1 -1.61649 -1.85526 -7.16057 ]
82 : [ 8.2 -1.69009 -2.31203 -7.04802 ]
83 : [ 8.3 -1.5821 -2.35367 -6.78151 ]
84 : [ 8.4 -1.35657 -1.88911 -6.33502 ]
85 : [ 8.5 -1.24667 -1.92095 -5.64525 ]
86 : [ 8.6 -0.944776 -1.34133 -5.37093 ]
87 : [ 8.7 -1.10329 -1.55332 -5.61344 ]
88 : [ 8.8 -0.926199 -1.27261 -5.48049 ]
89 : [ 8.9 -0.834462 -1.24116 -5.76891 ]
90 : [ 9 -0.881541 -1.34418 -5.98152 ]
91 : [ 9.1 -1.41405 -1.95094 -6.95033 ]
92 : [ 9.2 -1.43785 -1.53282 -8.12531 ]
93 : [ 9.3 -1.5213 -1.79824 -7.6209 ]
94 : [ 9.4 -1.5576 -2.08401 -6.93812 ]
95 : [ 9.5 -1.50883 -2.16524 -6.61486 ]
96 : [ 9.6 -1.30358 -1.88142 -5.89526 ]
97 : [ 9.7 -1.55106 -1.86745 -7.45134 ]
98 : [ 9.8 -1.80473 -2.86778 -6.42567 ]
99 : [ 9.9 -1.99268 -3.48937 -6.69661 ]
field 9:
[ t y0 y1 y2 ]
0 : [ 0 0.754265 1.38041 0.0114939 ]
1 : [ 0.1 1.09814 1.91827 0.668425 ]
2 : [ 0.2 1.03754 1.44588 1.19366 ]
3 : [ 0.3 1.01173 1.33123 1.39889 ]
4 : [ 0.4 0.995579 1.26462 1.87343 ]
5 : [ 0.5 0.960558 1.16248 2.00205 ]
6 : [ 0.6 0.859995 0.97918 1.8415 ]
7 : [ 0.7 1.25362 2.06036 1.77481 ]
8 : [ 0.8 1.0114 1.40593 1.90281 ]
9 : [ 0.9 1.33008 2.09528 2.31563 ]
10 : [ 1 1.18574 2.35981 1.14443 ]
11 : [ 1.1 1.45117 2.97248 1.60581 ]
12 : [ 1.2 1.69812 3.26319 2.00383 ]
13 : [ 1.3 1.87794 3.4909 2.18978 ]
14 : [ 1.4 1.7204 3.33245 1.61122 ]
15 : [ 1.5 1.41634 2.99268 0.602607 ]
16 : [ 1.6 1.05866 2.22059 0.0553408 ]
17 : [ 1.7 1.13687 2.52073 -0.520451 ]
18 : [ 1.8 0.797616 1.75399 -0.750719 ]
19 : [ 1.9 0.756727 2.36516 -1.5944 ]
20 : [ 2 0.853629 3.03187 -1.96222 ]
21 : [ 2.1 1.01655 3.79591 -2.50616 ]
22 : [ 2.2 1.34467 4.03688 -1.71898 ]
23 : [ 2.3 1.23546 3.80213 -1.35751 ]
24 : [ 2.4 0.747224 2.67142 -1.99863 ]
25 : [ 2.5 0.674407 2.64215 -2.21703 ]
26 : [ 2.6 0.848452 2.7863 -1.46456 ]
27 : [ 2.7 1.01383 3.57602 -2.13338 ]
28 : [ 2.8 0.797761 3.08837 -2.16974 ]
29 : [ 2.9 0.861483 3.43543 -2.16981 ]
30 : [ 3 1.13343 3.86136 -1.52283 ]
31 : [ 3.1 1.26224 4.3379 -1.69762 ]
32 : [ 3.2 1.18022 3.96514 -1.09856 ]
33 : [ 3.3 1.04922 3.35817 -1.11684 ]
34 : [ 3.4 1.13722 3.31678 -0.764132 ]
35 : [ 3.5 0.922745 2.99102 -1.12532 ]
36 : [ 3.6 1.03044 3.4583 -1.19914 ]
37 : [ 3.7 0.809419 3.22953 -1.75296 ]
38 : [ 3.8 0.465116 2.93352 -2.84181 ]
39 : [ 3.9 0.212335 1.86347 -2.14749 ]
40 : [ 4 0.155458 1.68837 -2.28516 ]
41 : [ 4.1 0.136479 1.3547 -2.22793 ]
42 : [ 4.2 -0.270225 0.554787 -2.17932 ]
43 : [ 4.3 0.0863441 0.761369 -0.623727 ]
44 : [ 4.4 0.313409 0.880308 0.161913 ]
45 : [ 4.5 0.629187 1.20553 1.20802 ]
46 : [ 4.6 0.508223 1.07326 1.44485 ]
47 : [ 4.7 0.80796 1.59596 1.95601 ]
48 : [ 4.8 0.813617 2.12144 1.00857 ]
49 : [ 4.9 0.96982 2.34887 1.00959 ]
50 : [ 5 0.914721 2.18035 1.72913 ]
51 : [ 5.1 0.901965 1.95553 1.62101 ]
52 : [ 5.2 0.576337 1.36116 1.03835 ]
53 : [ 5.3 0.13707 0.792504 -0.20871 ]
54 : [ 5.4 0.0112969 0.276034 0.169941 ]
55 : [ 5.5 0.766206 1.98317 0.706456 ]
56 : [ 5.6 0.895625 1.93848 1.64433 ]
57 : [ 5.7 0.539823 1.55564 0.723308 ]
58 : [ 5.8 0.791471 1.89711 1.49547 ]
59 : [ 5.9 0.664354 1.69665 1.47041 ]
60 : [ 6 0.46714 1.37412 0.888458 ]
61 : [ 6.1 0.760774 1.71872 1.36329 ]
62 : [ 6.2 0.736187 1.94893 0.426661 ]
63 : [ 6.3 0.829494 2.15017 0.607982 ]
64 : [ 6.4 0.336928 1.48345 -0.650563 ]
65 : [ 6.5 0.2938 1.32829 -0.926029 ]
66 : [ 6.6 0.391393 1.69227 -0.656305 ]
67 : [ 6.7 0.308216 1.60185 -0.427472 ]
68 : [ 6.8 0.281902 1.9294 -1.38875 ]
69 : [ 6.9 -0.0423756 1.39864 -1.85362 ]
70 : [ 7 -0.241878 0.612373 -1.21 ]
71 : [ 7.1 0.0922479 0.883858 0.119117 ]
72 : [ 7.2 -0.162712 0.633392 -0.553107 ]
73 : [ 7.3 -0.171185 0.785069 -1.959 ]
74 : [ 7.4 -0.00692821 1.52663 -2.39877 ]
75 : [ 7.5 -0.0465396 1.45417 -2.79393 ]
76 : [ 7.6 -0.101854 1.49172 -3.07219 ]
77 : [ 7.7 -0.000313536 1.40389 -2.64327 ]
78 : [ 7.8 0.0421733 1.85029 -3.32429 ]
79 : [ 7.9 0.023591 1.58997 -2.677 ]
80 : [ 8 0.132846 2.39442 -3.86318 ]
81 : [ 8.1 0.519173 2.89032 -2.68765 ]
82 : [ 8.2 0.186776 2.31579 -3.40161 ]
83 : [ 8.3 0.111986 2.07504 -3.22642 ]
84 : [ 8.4 -0.091281 1.73224 -3.66163 ]
85 : [ 8.5 -0.363449 0.986585 -3.57153 ]
86 : [ 8.6 -0.836968 0.170063 -3.49773 ]
87 : [ 8.7 -1.05195 -0.204821 -3.67619 ]
88 : [ 8.8 -0.921709 -0.267751 -3.15787 ]
89 : [ 8.9 -0.912392 -0.171176 -3.58864 ]
90 : [ 9 -0.662966 -0.30744 -2.0555 ]
91 : [ 9.1 -0.89172 0.0124245 -4.64363 ]
92 : [ 9.2 -1.29419 -0.411823 -6.11753 ]
93 : [ 9.3 -1.35979 -0.432501 -7.01268 ]
94 : [ 9.4 -1.48438 -0.627548 -6.71362 ]
95 : [ 9.5 -1.62119 -0.865689 -6.89322 ]
96 : [ 9.6 -1.64683 -0.977573 -6.87677 ]
97 : [ 9.7 -1.7528 -1.38512 -6.5545 ]
98 : [ 9.8 -2.18897 -2.43599 -6.90188 ]
99 : [ 9.9 -2.04323 -2.27028 -6.19689 ]]

[13]:
# Draw a sample of the process
fieldSample.drawMarginal(0, False)
[13]:
../../_images/examples_probabilistic_modeling_process_manipulation_14_0.png
[14]:
# Same graph, but draw interpolated values
fieldSample.drawMarginal(0)
[14]:
../../_images/examples_probabilistic_modeling_process_manipulation_15_0.png
[15]:
# Get the marginal of the process at index 1
# Care! Numerotation begins at 0
# Not yet implemented for some processes
process.getMarginal([1])
[15]:

GaussianProcess(trend=[x0]->[0.0], covariance=ExponentialModel(scale=[4], amplitude=[2], no spatial correlation))

[16]:
# Get the marginal of the process at index in indices
# Not yet implemented for some processes
process.getMarginal([0, 1])
[16]:

GaussianProcess(trend=[x0]->[0.0,0.0], covariance=ExponentialModel(scale=[4], amplitude=[1,2], spatial correlation=
[[ 1 0.8 ]
[ 0.8 1 ]]))

[17]:
# Check wether the process is normal
process.isNormal()
[17]:
True
[18]:
# Check wether the process is stationary
process.isStationary()
[18]:
True