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Error Function Calculator

Calculate the error function.

Error Function Calculator
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About Error Function Calculator

The Error Function Calculator is used to calculate the error function of a given number.

Error Function

In mathematics, the error function is a special function (non-elementary) of sigmoid shape, which occurs in probability, statistics and partial differential equations. It is also called the Gauss error function or probability integral.

The error function is defined as:

Error Function Definition

Error Function Table

The following is the error function and complementary error function table that shows the values of erf(x) and erfc(x) for x ranging from 0 to 3.5 with an increment of 0.01.

xerf(x)erfc(x)
0.00.01.0
0.010.0112834160.988716584
0.020.0225645750.977435425
0.030.0338412220.966158778
0.040.0451111060.954888894
0.050.0563719780.943628022
0.060.0676215940.932378406
0.070.078857720.92114228
0.080.0900781260.909921874
0.090.1012805940.898719406
0.10.1124629160.887537084
0.110.1236228960.876377104
0.120.1347583520.865241648
0.130.1458671150.854132885
0.140.1569470330.843052967
0.150.1679959710.832004029
0.160.1790118130.820988187
0.170.1899924610.810007539
0.180.2009358390.799064161
0.190.2118398920.788160108
0.20.2227025890.777297411
0.210.2335219230.766478077
0.220.2442959120.755704088
0.230.25502260.7449774
0.240.2657000590.734299941
0.250.276326390.72367361
0.260.2868997230.713100277
0.270.2974182190.702581781
0.280.3078800680.692119932
0.290.3182834960.681716504
0.30.3286267590.671373241
0.310.338908150.66109185
0.320.3491259950.650874005
0.330.3592786550.640721345
0.340.3693645290.630635471
0.350.3793820540.620617946
0.360.3893297010.610670299
0.370.3992059840.600794016
0.380.4090094530.590990547
0.390.41873870.5812613
0.40.4283923550.571607645
0.410.437969090.56203091
0.420.4474676180.552532382
0.430.4568866950.543113305
0.440.4662251150.533774885
0.450.475481720.52451828
0.460.484655390.51534461
0.470.4937450510.506254949
0.480.5027496710.497250329
0.490.5116682610.488331739
0.50.5204998780.479500122
0.510.529243620.47075638
0.520.537898630.46210137
0.530.5464640970.453535903
0.540.554939250.44506075
0.550.5633233660.436676634
0.560.5716157640.428384236
0.570.5798158060.420184194
0.580.58792290.4120771
0.590.5959364970.404063503
0.60.6038560910.396143909
0.610.6116812190.388318781
0.620.6194114620.380588538
0.630.6270464430.372953557
0.640.6345858290.365414171
0.650.6420293270.357970673
0.660.6493766880.350623312
0.670.6566277020.343372298
0.680.6637822030.336217797
0.690.6708400620.329159938
0.70.6778011940.322198806
0.710.684665550.31533445
0.720.6914331230.308566877
0.730.6981039430.301896057
0.740.7046780780.295321922
0.750.7111556340.288844366
0.760.7175367530.282463247
0.770.7238216140.276178386
0.780.7300104310.269989569
0.790.7361034540.263896546
0.80.7421009650.257899035
0.810.7480032810.251996719
0.820.7538107510.246189249
0.830.7595237570.240476243
0.840.7651427110.234857289
0.850.7706680580.229331942
0.860.7761002680.223899732
0.870.7814398450.218560155
0.880.7866873190.213312681
0.890.7918432470.208156753
0.90.7969082120.203091788
0.910.8018828260.198117174
0.920.8067677220.193232278
0.930.8115635590.188436441
0.940.8162710190.183728981
0.950.8208908070.179109193
0.960.825423650.17457635
0.970.8298702930.170129707
0.980.8342315040.165768496
0.990.838508070.16149193
1.00.8427007930.157299207
1.010.8468104960.153189504
1.020.8508380180.149161982
1.030.8547842110.145215789
1.040.8586499470.141350053
1.050.8624361060.137563894
1.060.8661435870.133856413
1.070.8697732970.130226703
1.080.8733261580.126673842
1.090.8768031020.123196898
1.10.880205070.11979493
1.110.8835330120.116466988
1.120.886787890.11321211
1.130.889970670.11002933
1.140.8930823280.106917672
1.150.8961238430.103876157
1.160.8990962030.100903797
1.170.9020003990.097999601
1.180.9048374270.095162573
1.190.9076082860.092391714
1.20.9103139780.089686022
1.210.9129555080.087044492
1.220.9155338810.084466119
1.230.9180501040.081949896
1.240.9205051840.079494816
1.250.9229001280.077099872
1.260.9252359420.074764058
1.270.9275136290.072486371
1.280.9297341930.070265807
1.290.9318986330.068101367
1.30.9340079450.065992055
1.310.9360631230.063936877
1.320.9380651550.061934845
1.330.9400150260.059984974
1.340.9419137150.058086285
1.350.9437621960.056237804
1.360.9455614370.054438563
1.370.9473123980.052687602
1.380.9490160350.050983965
1.390.9506732960.049326704
1.40.952285120.04771488
1.410.9538524390.046147561
1.420.9553761790.044623821
1.430.9568572530.043142747
1.440.958296570.04170343
1.450.9596950260.040304974
1.460.961053510.03894649
1.470.96237290.0376271
1.480.9636540650.036345935
1.490.9648978650.035102135
1.50.9661051460.033894854
1.510.9672767480.032723252
1.520.9684134970.031586503
1.530.9695162090.030483791
1.540.970585690.02941431
1.550.9716227330.028377267
1.560.9726281220.027371878
1.570.9736026270.026397373
1.580.9745470090.025452991
1.590.9754620160.024537984
1.60.9763483830.023651617
1.610.9772068370.022793163
1.620.9780380880.021961912
1.630.978842840.02115716
1.640.979621780.02037822
1.650.9803755850.019624415
1.660.9811049210.018895079
1.670.9818104420.018189558
1.680.9824927870.017507213
1.690.9831525870.016847413
1.70.9837904590.016209541
1.710.9844070080.015592992
1.720.9850028270.014997173
1.730.98557850.0144215
1.740.9861345950.013865405
1.750.9866716710.013328329
1.760.9871902750.012809725
1.770.9876909420.012309058
1.780.9881741960.011825804
1.790.9886405490.011359451
1.80.9890905020.010909498
1.810.9895245450.010475455
1.820.9899431560.010056844
1.830.9903468050.009653195
1.840.9907359480.009264052
1.850.991111030.00888897
1.860.9914724880.008527512
1.870.9918207480.008179252
1.880.9921562230.007843777
1.890.9924793180.007520682
1.90.9927904290.007209571
1.910.993089940.00691006
1.920.9933782250.006621775
1.930.993655650.00634435
1.940.9939225710.006077429
1.950.9941793340.005820666
1.960.9944262750.005573725
1.970.9946637250.005336275
1.980.9948920.005108
1.990.9951114130.004888587
2.00.9953222650.004677735
2.010.9955248490.004475151
2.020.9957194510.004280549
2.030.9959063480.004093652
2.040.996085810.00391419
2.050.9962580960.003741904
2.060.9964234620.003576538
2.070.9965821530.003417847
2.080.9967344090.003265591
2.090.9968804610.003119539
2.10.9970205330.002979467
2.110.9971548450.002845155
2.120.9972836070.002716393
2.130.9974070230.002592977
2.140.9975252930.002474707
2.150.9976386070.002361393
2.160.9977471520.002252848
2.170.9978511080.002148892
2.180.9979506490.002049351
2.190.9980459430.001954057
2.20.9981371540.001862846
2.210.9982244380.001775562
2.220.9983079480.001692052
2.230.9983878320.001612168
2.240.9984642310.001535769
2.250.9985372830.001462717
2.260.9986071210.001392879
2.270.9986738720.001326128
2.280.9987376610.001262339
2.290.9987986060.001201394
2.30.9988568230.001143177
2.310.9989124230.001087577
2.320.9989655130.001034487
2.330.9990161950.000983805
2.340.999064570.00093543
2.350.9991107330.000889267
2.360.9991547770.000845223
2.370.999196790.00080321
2.380.9992368580.000763142
2.390.9992750640.000724936
2.40.9993114860.000688514
2.410.9993462020.000653798
2.420.9993792830.000620717
2.430.9994108020.000589198
2.440.9994408260.000559174
2.450.999469420.00053058
2.460.9994966460.000503354
2.470.9995225660.000477434
2.480.9995472360.000452764
2.490.9995707120.000429288
2.50.9995930480.000406952
2.510.9996142950.000385705
2.520.9996345010.000365499
2.530.9996537140.000346286
2.540.9996719790.000328021
2.550.999689340.00031066
2.560.9997058370.000294163
2.570.9997215110.000278489
2.580.99973640.0002636
2.590.9997505390.000249461
2.60.9997639660.000236034
2.610.9997767110.000223289
2.620.9997888090.000211191
2.630.9998002890.000199711
2.640.9998111810.000188819
2.650.9998215120.000178488
2.660.9998313110.000168689
2.670.9998406010.000159399
2.680.9998494090.000150591
2.690.9998577570.000142243
2.70.9998656670.000134333
2.710.9998731620.000126838
2.720.9998802610.000119739
2.730.9998869850.000113015
2.740.9998933510.000106649
2.750.9998993780.000100622
2.760.9999050829.4918e-05
2.770.999910488.952e-05
2.780.9999155878.4413e-05
2.790.9999204187.9582e-05
2.80.9999249877.5013e-05
2.810.9999293077.0693e-05
2.820.999933396.661e-05
2.830.999937256.275e-05
2.840.9999408985.9102e-05
2.850.9999443445.5656e-05
2.860.9999475995.2401e-05
2.870.9999506734.9327e-05
2.880.9999535764.6424e-05
2.890.9999563164.3684e-05
2.90.9999589024.1098e-05
2.910.9999613433.8657e-05
2.920.9999636453.6355e-05
2.930.9999658173.4183e-05
2.940.9999678663.2134e-05
2.950.9999697973.0203e-05
2.960.9999716182.8382e-05
2.970.9999733342.6666e-05
2.980.9999749512.5049e-05
2.990.9999764742.3526e-05
3.00.999977912.209e-05
3.010.9999792612.0739e-05
3.020.9999805341.9466e-05
3.030.9999817321.8268e-05
3.040.9999828591.7141e-05
3.050.999983921.608e-05
3.060.9999849181.5082e-05
3.070.9999858571.4143e-05
3.080.999986741.326e-05
3.090.9999875711.2429e-05
3.10.9999883511.1649e-05
3.110.9999890851.0915e-05
3.120.9999897741.0226e-05
3.130.9999904229.578e-06
3.140.999991038.97e-06
3.150.9999916028.398e-06
3.160.9999921387.862e-06
3.170.9999926427.358e-06
3.180.9999931156.885e-06
3.190.9999935586.442e-06
3.20.9999939746.026e-06
3.210.9999943655.635e-06
3.220.9999947315.269e-06
3.230.9999950744.926e-06
3.240.9999953964.604e-06
3.250.9999956974.303e-06
3.260.999995984.02e-06
3.270.9999962453.755e-06
3.280.9999964933.507e-06
3.290.9999967253.275e-06
3.30.9999969423.058e-06
3.310.9999971462.854e-06
3.320.9999973362.664e-06
3.330.9999975152.485e-06
3.340.9999976812.319e-06
3.350.9999978382.162e-06
3.360.9999979832.017e-06
3.370.999998121.88e-06
3.380.9999982471.753e-06
3.390.9999983671.633e-06
3.40.9999984781.522e-06
3.410.9999985821.418e-06
3.420.9999986791.321e-06
3.430.999998771.23e-06
3.440.9999988551.145e-06
3.450.9999989341.066e-06
3.460.9999990089.92e-07
3.470.9999990779.23e-07
3.480.9999991418.59e-07
3.490.9999992017.99e-07
3.50.9999992577.43e-07

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