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Statistical Complexity and Information Measures for Time Series Analysis

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quadratic_map: A function to generate a time series from the Quadratic map

quadratic_map: A function to generate a time series from the Quadratic map
In statcomp: Statistical Complexity and Information Measures for Time Series Analysis

Description Usage Arguments Value Author(s) References Examples

View source: R/chaotic_maps.R

Description

Generates a time series from the Quadradtic map

Usage

1
quadratic_map(N, k, start="rand", disregard_N=0)

Arguments

N

length of the time series that is to be generated

k

Quadratic map parameter

start

start value. Default is to random.

disregard_N

Number of values at the beginning of the series to disregard

Value

A vector of length N

Author(s)

Sebastian Sippel

References

Grebogi, C., Ott, E. and Yorke, J.A., 1983. Crises, sudden changes in chaotic attractors, and transient chaos. Physica D: Nonlinear Phenomena, 7(1-3), pp.181-200.

Examples

1
quadratic_map(N = 10^4, k=1.4)

Example output

    [1]  0.0003376324  1.3999998860 -0.5599996808  1.0864003575  0.2197342632
    [6]  1.3517168536 -0.4271384522  1.2175527427 -0.0824346812  1.3932045233
   [11] -0.5410188439  1.1072986106  0.1738897870  1.3697623420 -0.4762488735
   [16]  1.1731870105  0.0236322384  1.3994415173 -0.5584365604  1.0881486081
   [21]  0.2159326068  1.3533731093 -0.4316187730  1.2137052348 -0.0730803969
   [26]  1.3946592556 -0.5450744392  1.1028938557  0.1836251430  1.3662818069
   [31] -0.4667259757  1.1821668636  0.0024815067  1.3999938421 -0.5599827580
   [36]  1.0864193108  0.2196930812  1.3517349501 -0.4271873752  1.2175109464
   [41] -0.0823329047  1.3932212928 -0.5410655707  1.1072480482  0.1740017598
   [46]  1.3697233876 -0.4761421585  1.1732886449  0.0233937558  1.3994527322
   [51] -0.5584679496  1.0881135492  0.2160089040  1.3533401534 -0.4315295708
   [56]  1.2137822295 -0.0732673007  1.3946319026 -0.5449981439  1.1029770232
   [61]  0.1834416864  1.3663491477 -0.4669099934  1.1819950580  0.0028876828
   [66]  1.3999916613 -0.5599766517  1.0864261496  0.2196782215  1.3517414790
   [71] -0.4272050260  1.2174958657 -0.0822961831  1.3932273382 -0.5410824160
   [76]  1.1072298190  0.1740421278  1.3697093377 -0.4761036699  1.1733252955
   [81]  0.0233077509  1.3994567487 -0.5584791916  1.0881009925  0.2160362300
   [86]  1.3533283473 -0.4314976156  1.2138098077 -0.0733342493  1.3946220879
   [91] -0.5449707680  1.1030068620  0.1833758624  1.3663732931 -0.4669759761
   [96]  1.1819334377  0.0030333488  1.3999907988 -0.5599742367  1.0864288542
  [101]  0.2196723447  1.3517440610 -0.4272120064  1.2174899016 -0.0822816606
  [106]  1.3932297283 -0.5410890759  1.1072226119  0.1740580876  1.3697037821
  [111] -0.4760884508  1.1733397870  0.0232737441  1.3994583328 -0.5584836253
  [116]  1.0880960402  0.2160470072  1.3533236907 -0.4314850117  1.2138206847
  [121] -0.0733606545  1.3946182144 -0.5449599638  1.1030186378  0.1833498846
  [126]  1.3663828198 -0.4670020102  1.1819091224  0.0030908263  1.3999904468
  [131] -0.5599732511  1.0864299580  0.2196699463  1.3517451147 -0.4272148551
  [136]  1.2174874676 -0.0822757337  1.3932307037 -0.5410917936  1.1072196709
  [141]  0.1740646004  1.3697015149 -0.4760822399  1.1733457008  0.0232598663
  [146]  1.3994589786 -0.5584854328  1.0880940213  0.2160514008  1.3533217922
  [151] -0.4314798733  1.2138251189 -0.0733714194  1.3946166348 -0.5449555581
  [156]  1.1030234397  0.1833392915  1.3663867042 -0.4670126254  1.1818992077
  [161]  0.0031142628  1.3999903014 -0.5599728439  1.0864304141  0.2196689554
  [166]  1.3517455500 -0.4272160321  1.2174864620 -0.0822732851  1.3932311066
  [171] -0.5410929163  1.1072184559  0.1740672909  1.3697005783 -0.4760796741
  [176]  1.1733481439  0.0232541331  1.3994592453 -0.5584861792  1.0880931876
  [181]  0.2160532151  1.3533210082 -0.4314777514  1.2138269501 -0.0733758647
  [186]  1.3946159825 -0.5449537386  1.1030254228  0.1833349166  1.3663883083
  [191] -0.4670170092  1.1818951131  0.0031239416  1.3999902410 -0.5599726749
  [196]  1.0864306034  0.2196685440  1.3517457308 -0.4272165207  1.2174860444
  [201] -0.0822722684  1.3932312738 -0.5410933824  1.1072179515  0.1740684079
  [206]  1.3697001894 -0.4760786088  1.1733491583  0.0232517528  1.3994593560
  [211] -0.5584864891  1.0880928415  0.2160539682  1.3533206828 -0.4314768705
  [216]  1.2138277102 -0.0733777101  1.3946157117 -0.5449529832  1.1030262461
  [221]  0.1833331005  1.3663889743 -0.4670188290  1.1818934134  0.0031279595
  [226]  1.3999902159 -0.5599726045  1.0864306822  0.2196683728  1.3517458060
  [231] -0.4272167240  1.2174858708 -0.0822718455  1.3932313434 -0.5410935763
  [236]  1.1072177416  0.1740688726  1.3697000276 -0.4760781656  1.1733495803
  [241]  0.0232507625  1.3994594020 -0.5584866180  1.0880926976  0.2160542815
  [246]  1.3533205474 -0.4314765041  1.2138280264 -0.0733784777  1.3946155990
  [251] -0.5449526690  1.1030265885  0.1833323450  1.3663892513 -0.4670195860
  [256]  1.1818927062  0.0031296309  1.3999902054 -0.5599725752  1.0864307150
  [261]  0.2196683016  1.3517458373 -0.4272168086  1.2174857984 -0.0822716694
  [266]  1.3932313724 -0.5410936571  1.1072176543  0.1740690661  1.3696999602
  [271] -0.4760779810  1.1733497560  0.0232503502  1.3994594212 -0.5584866716
  [276]  1.0880926376  0.2160544120  1.3533204911 -0.4314763515  1.2138281581
  [281] -0.0733787973  1.3946155521 -0.5449525382  1.1030267311  0.1833320304
  [286]  1.3663893666 -0.4670199013  1.1818924118  0.0031303269  1.3999902011
  [291] -0.5599725630  1.0864307286  0.2196682719  1.3517458503 -0.4272168439
  [296]  1.2174857683 -0.0822715960  1.3932313845 -0.5410936907  1.1072176179
  [301]  0.1740691467  1.3696999322 -0.4760779042  1.1733498292  0.0232501784
  [306]  1.3994594292 -0.5584866940  1.0880926126  0.2160544663  1.3533204676
  [311] -0.4314762880  1.2138282129 -0.0733789305  1.3946155326 -0.5449524837
  [316]  1.1030267905  0.1833318993  1.3663894147 -0.4670200326  1.1818922892
  [321]  0.0031306168  1.3999901992 -0.5599725580  1.0864307343  0.2196682595
  [326]  1.3517458558 -0.4272168586  1.2174857557 -0.0822715655  1.3932313895
  [331] -0.5410937047  1.1072176027  0.1740691803  1.3696999205 -0.4760778721
  [336]  1.1733498597  0.0232501069  1.3994594325 -0.5584867033  1.0880926022
  [341]  0.2160544890  1.3533204578 -0.4314762615  1.2138282358 -0.0733789859
  [346]  1.3946155244 -0.5449524610  1.1030268153  0.1833318448  1.3663894347
  [351] -0.4670200873  1.1818922381  0.0031307375  1.3999901985 -0.5599725558
  [356]  1.0864307367  0.2196682544  1.3517458580 -0.4272168647  1.2174857505
  [361] -0.0822715527  1.3932313916 -0.5410937106  1.1072175964  0.1740691943
  [366]  1.3696999156 -0.4760778588  1.1733498724  0.0232500770  1.3994594339
  [371] -0.5584867072  1.0880925979  0.2160544984  1.3533204537 -0.4314762505
  [376]  1.2138282453 -0.0733790090  1.3946155210 -0.5449524515  1.1030268256
  [381]  0.1833318220  1.3663894430 -0.4670201100  1.1818922168  0.0031307878
  [386]  1.3999901982 -0.5599725550  1.0864307377  0.2196682522  1.3517458590
  [391] -0.4272168672  1.2174857483 -0.0822715474  1.3932313925 -0.5410937130
  [396]  1.1072175937  0.1740692001  1.3696999136 -0.4760778532  1.1733498776
  [401]  0.0232500646  1.3994594345 -0.5584867088  1.0880925961  0.2160545023
  [406]  1.3533204520 -0.4314762459  1.2138282492 -0.0733790187  1.3946155196
  [411] -0.5449524476  1.1030268299  0.1833318125  1.3663894465 -0.4670201195
  [416]  1.1818922079  0.0031308088  1.3999901980 -0.5599725546  1.0864307381
  [421]  0.2196682513  1.3517458594 -0.4272168683  1.2174857474 -0.0822715452
  [426]  1.3932313928 -0.5410937140  1.1072175926  0.1740692025  1.3696999127
  [431] -0.4760778509  1.1733498799  0.0232500595  1.3994594347 -0.5584867095
  [436]  1.0880925953  0.2160545040  1.3533204513 -0.4314762440  1.2138282509
  [441] -0.0733790227  1.3946155190 -0.5449524459  1.1030268317  0.1833318086
  [446]  1.3663894480 -0.4670201235  1.1818922043  0.0031308175  1.3999901980
  [451] -0.5599725544  1.0864307383  0.2196682509  1.3517458595 -0.4272168687
  [456]  1.2174857471 -0.0822715443  1.3932313930 -0.5410937144  1.1072175922
  [461]  0.1740692035  1.3696999124 -0.4760778500  1.1733498808  0.0232500573
  [466]  1.3994594348 -0.5584867098  1.0880925950  0.2160545046  1.3533204510
  [471] -0.4314762432  1.2138282516 -0.0733790243  1.3946155188 -0.5449524452
  [476]  1.1030268324  0.1833318069  1.3663894486 -0.4670201251  1.1818922027
  [481]  0.0031308212  1.3999901980 -0.5599725544  1.0864307383  0.2196682508
  [486]  1.3517458596 -0.4272168689  1.2174857469 -0.0822715439  1.3932313931
  [491] -0.5410937146  1.1072175920  0.1740692040  1.3696999122 -0.4760778496
  [496]  1.1733498812  0.0232500564  1.3994594349 -0.5584867099  1.0880925949
  [501]  0.2160545049  1.3533204509 -0.4314762428  1.2138282519 -0.0733790250
  [506]  1.3946155187 -0.5449524450  1.1030268327  0.1833318063  1.3663894488
  [511] -0.4670201258  1.1818922021  0.0031308227  1.3999901979 -0.5599725544
  [516]  1.0864307384  0.2196682507  1.3517458596 -0.4272168690  1.2174857468
  [521] -0.0822715437  1.3932313931 -0.5410937147  1.1072175919  0.1740692041
  [526]  1.3696999122 -0.4760778494  1.1733498813  0.0232500560  1.3994594349
  [531] -0.5584867099  1.0880925948  0.2160545050  1.3533204509 -0.4314762427
  [536]  1.2138282520 -0.0733790253  1.3946155186 -0.5449524448  1.1030268329
  [541]  0.1833318060  1.3663894489 -0.4670201261  1.1818922018  0.0031308233
  [546]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
  [551] -0.4272168690  1.2174857468 -0.0822715437  1.3932313931 -0.5410937147
  [556]  1.1072175919  0.1740692042  1.3696999121 -0.4760778493  1.1733498814
  [561]  0.0232500559  1.3994594349 -0.5584867099  1.0880925948  0.2160545051
  [566]  1.3533204508 -0.4314762426  1.2138282520 -0.0733790254  1.3946155186
  [571] -0.5449524448  1.1030268329  0.1833318059  1.3663894490 -0.4670201262
  [576]  1.1818922017  0.0031308236  1.3999901979 -0.5599725543  1.0864307384
  [581]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
  [586]  1.3932313931 -0.5410937147  1.1072175919  0.1740692042  1.3696999121
  [591] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867099
  [596]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
  [601] -0.0733790255  1.3946155186 -0.5449524448  1.1030268329  0.1833318058
  [606]  1.3663894490 -0.4670201263  1.1818922016  0.0031308237  1.3999901979
  [611] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
  [616]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
  [621]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
  [626]  1.3994594349 -0.5584867099  1.0880925948  0.2160545051  1.3533204508
  [631] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
  [636]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
  [641]  0.0031308237  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
  [646]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
  [651] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
  [656]  1.1733498814  0.0232500558  1.3994594349 -0.5584867099  1.0880925948
  [661]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
  [666]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
  [671] -0.4670201263  1.1818922016  0.0031308237  1.3999901979 -0.5599725543
  [676]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
  [681] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
  [686]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
  [691] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
  [696]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
  [701]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
  [706]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
  [711] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
  [716]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
  [721]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
  [726]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
  [731] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
  [736]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
  [741]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
  [746]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
  [751] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
  [756]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
  [761] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
  [766]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
  [771] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
  [776]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
  [781]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
  [786]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
  [791] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
  [796]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
  [801]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
  [806]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
  [811] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
  [816]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
  [821]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
  [826]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
  [831] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
  [836]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
  [841] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
  [846]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
  [851] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
  [856]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
  [861]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
  [866]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
  [871] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
  [876]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
  [881]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
  [886]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
  [891] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
  [896]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
  [901]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
  [906]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
  [911] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
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 [1866]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [1871] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [1876]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [1881] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [1886]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [1891] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [1896]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [1901]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [1906]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [1911] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [1916]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [1921]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [1926]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [1931] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [1936]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [1941]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [1946]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [1951] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [1956]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [1961] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [1966]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [1971] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [1976]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [1981]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [1986]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [1991] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [1996]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [2001]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [2006]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [2011] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [2016]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [2021]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [2026]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [2031] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [2036]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [2041] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [2046]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [2051] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [2056]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [2061]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [2066]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [2071] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [2076]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [2081]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [2086]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [2091] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [2096]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [2101]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [2106]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [2111] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [2116]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [2121] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [2126]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [2131] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [2136]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [2141]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [2146]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [2151] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [2156]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [2161]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [2166]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [2171] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [2176]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [2181]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [2186]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [2191] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [2196]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [2201] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [2206]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [2211] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [2216]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [2221]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [2226]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [2231] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [2236]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [2241]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [2246]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [2251] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [2256]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [2261]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [2266]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [2271] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [2276]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [2281] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [2286]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [2291] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [2296]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [2301]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [2306]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [2311] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [2316]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [2321]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [2326]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [2331] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [2336]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [2341]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [2346]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [2351] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [2356]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [2361] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [2366]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [2371] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [2376]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [2381]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [2386]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [2391] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [2396]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [2401]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [2406]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [2411] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [2416]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [2421]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [2426]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [2431] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [2436]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [2441] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [2446]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [2451] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [2456]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [2461]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [2466]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [2471] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [2476]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [2481]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [2486]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [2491] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [2496]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [2501]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
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 [2511] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
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 [2521] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
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 [2556]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
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 [9461]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [9466]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [9471] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [9476]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [9481] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [9486]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [9491] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [9496]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [9501]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [9506]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [9511] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [9516]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [9521]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [9526]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [9531] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [9536]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [9541]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [9546]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [9551] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [9556]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [9561] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [9566]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [9571] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [9576]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [9581]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [9586]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [9591] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [9596]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [9601]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [9606]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [9611] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [9616]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [9621]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [9626]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [9631] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [9636]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [9641] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [9646]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [9651] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [9656]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [9661]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [9666]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [9671] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [9676]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [9681]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [9686]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [9691] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [9696]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [9701]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [9706]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [9711] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [9716]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [9721] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [9726]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [9731] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [9736]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [9741]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [9746]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [9751] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [9756]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [9761]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [9766]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [9771] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [9776]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [9781]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [9786]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [9791] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [9796]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [9801] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [9806]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [9811] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [9816]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [9821]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [9826]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [9831] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [9836]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814
 [9841]  0.0232500558  1.3994594349 -0.5584867100  1.0880925948  0.2160545051
 [9846]  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255  1.3946155186
 [9851] -0.5449524448  1.1030268330  0.1833318058  1.3663894490 -0.4670201263
 [9856]  1.1818922016  0.0031308238  1.3999901979 -0.5599725543  1.0864307384
 [9861]  0.2196682507  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436
 [9866]  1.3932313931 -0.5410937147  1.1072175919  0.1740692043  1.3696999121
 [9871] -0.4760778493  1.1733498814  0.0232500558  1.3994594349 -0.5584867100
 [9876]  1.0880925948  0.2160545051  1.3533204508 -0.4314762426  1.2138282521
 [9881] -0.0733790255  1.3946155186 -0.5449524448  1.1030268330  0.1833318058
 [9886]  1.3663894490 -0.4670201263  1.1818922016  0.0031308238  1.3999901979
 [9891] -0.5599725543  1.0864307384  0.2196682507  1.3517458596 -0.4272168691
 [9896]  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147  1.1072175919
 [9901]  0.1740692043  1.3696999121 -0.4760778493  1.1733498814  0.0232500558
 [9906]  1.3994594349 -0.5584867100  1.0880925948  0.2160545051  1.3533204508
 [9911] -0.4314762426  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448
 [9916]  1.1030268330  0.1833318058  1.3663894490 -0.4670201263  1.1818922016
 [9921]  0.0031308238  1.3999901979 -0.5599725543  1.0864307384  0.2196682507
 [9926]  1.3517458596 -0.4272168691  1.2174857468 -0.0822715436  1.3932313931
 [9931] -0.5410937147  1.1072175919  0.1740692043  1.3696999121 -0.4760778493
 [9936]  1.1733498814  0.0232500558  1.3994594349 -0.5584867100  1.0880925948
 [9941]  0.2160545051  1.3533204508 -0.4314762426  1.2138282521 -0.0733790255
 [9946]  1.3946155186 -0.5449524448  1.1030268330  0.1833318058  1.3663894490
 [9951] -0.4670201263  1.1818922016  0.0031308238  1.3999901979 -0.5599725543
 [9956]  1.0864307384  0.2196682507  1.3517458596 -0.4272168691  1.2174857468
 [9961] -0.0822715436  1.3932313931 -0.5410937147  1.1072175919  0.1740692043
 [9966]  1.3696999121 -0.4760778493  1.1733498814  0.0232500558  1.3994594349
 [9971] -0.5584867100  1.0880925948  0.2160545051  1.3533204508 -0.4314762426
 [9976]  1.2138282521 -0.0733790255  1.3946155186 -0.5449524448  1.1030268330
 [9981]  0.1833318058  1.3663894490 -0.4670201263  1.1818922016  0.0031308238
 [9986]  1.3999901979 -0.5599725543  1.0864307384  0.2196682507  1.3517458596
 [9991] -0.4272168691  1.2174857468 -0.0822715436  1.3932313931 -0.5410937147
 [9996]  1.1072175919  0.1740692043  1.3696999121 -0.4760778493  1.1733498814

statcomp documentation built on Oct. 18, 2019, 3:01 p.m.

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