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誤差函數計算機

計算誤差函數。

誤差函數計算機
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誤差函數計算機

誤差函數計算機用於計算給定數字的誤差函數。

誤差函數

在數學中,誤差函數是S形的特殊函數(非基本),它出現在概率,統計和偏微分方程中。它也被稱為高斯誤差函數或概率積分。

誤差函數定義為:

誤差函數定義

誤差函數表

以下是誤差函數和互補誤差函數表,它顯示了x的erf(x)和erfc(x)的值,範圍從0到3.5,增量為0.01。

X ERF(x)的 ERFC(x)的
0.0 0.0 1.0
0.01 0.011283416 0.988716584
0.02 0.022564575 0.977435425
0.03 0.033841222 0.966158778
0.04 0.045111106 0.954888894
0.05 0.056371978 0.943628022
0.06 0.067621594 0.932378406
0.07 0.07885772 0.92114228
0.08 0.090078126 0.909921874
0.09 0.101280594 0.898719406
0.1 0.112462916 0.887537084
0.11 0.123622896 0.876377104
0.12 0.134758352 0.865241648
0.13 0.145867115 0.854132885
0.14 0.156947033 0.843052967
0.15 0.167995971 0.832004029
0.16 0.179011813 0.820988187
0.17 0.189992461 0.810007539
0.18 0.200935839 0.799064161
0.19 0.211839892 0.788160108
0.2 0.222702589 0.777297411
0.21 0.233521923 0.766478077
0.22 0.244295912 0.755704088
0.23 0.2550226 0.7449774
0.24 0.265700059 0.734299941
0.25 0.27632639 0.72367361
0.26 0.286899723 0.713100277
0.27 0.297418219 0.702581781
0.28 0.307880068 0.692119932
0.29 0.318283496 0.681716504
0.3 0.328626759 0.671373241
0.31 0.33890815 0.66109185
0.32 0.349125995 0.650874005
0.33 0.359278655 0.640721345
0.34 0.369364529 0.630635471
0.35 0.379382054 0.620617946
0.36 0.389329701 0.610670299
0.37 0.399205984 0.600794016
0.38 0.409009453 0.590990547
0.39 0.4187387 0.5812613
0.4 0.428392355 0.571607645
0.41 0.43796909 0.56203091
0.42 0.447467618 0.552532382
0.43 0.456886695 0.543113305
0.44 0.466225115 0.533774885
0.45 0.47548172 0.52451828
0.46 0.48465539 0.51534461
0.47 0.493745051 0.506254949
0.48 0.502749671 0.497250329
0.49 0.511668261 0.488331739
0.5 0.520499878 0.479500122
0.51 0.52924362 0.47075638
0.52 0.53789863 0.46210137
0.53 0.546464097 0.453535903
0.54 0.55493925 0.44506075
0.55 0.563323366 0.436676634
0.56 0.571615764 0.428384236
0.57 0.579815806 0.420184194
0.58 0.5879229 0.4120771
0.59 0.595936497 0.404063503
0.6 0.603856091 0.396143909
0.61 0.611681219 0.388318781
0.62 0.619411462 0.380588538
0.63 0.627046443 0.372953557
0.64 0.634585829 0.365414171
0.65 0.642029327 0.357970673
0.66 0.649376688 0.350623312
0.67 0.656627702 0.343372298
0.68 0.663782203 0.336217797
0.69 0.670840062 0.329159938
0.7 0.677801194 0.322198806
0.71 0.68466555 0.31533445
0.72 0.691433123 0.308566877
0.73 0.698103943 0.301896057
0.74 0.704678078 0.295321922
0.75 0.711155634 0.288844366
0.76 0.717536753 0.282463247
0.77 0.723821614 0.276178386
0.78 0.730010431 0.269989569
0.79 0.736103454 0.263896546
0.8 0.742100965 0.257899035
0.81 0.748003281 0.251996719
0.82 0.753810751 0.246189249
0.83 0.759523757 0.240476243
0.84 0.765142711 0.234857289
0.85 0.770668058 0.229331942
0.86 0.776100268 0.223899732
0.87 0.781439845 0.218560155
0.88 0.786687319 0.213312681
0.89 0.791843247 0.208156753
0.9 0.796908212 0.203091788
0.91 0.801882826 0.198117174
0.92 0.806767722 0.193232278
0.93 0.811563559 0.188436441
0.94 0.816271019 0.183728981
0.95 0.820890807 0.179109193
0.96 0.82542365 0.17457635
0.97 0.829870293 0.170129707
0.98 0.834231504 0.165768496
0.99 0.83850807 0.16149193
1.0 0.842700793 0.157299207
1.01 0.846810496 0.153189504
1.02 0.850838018 0.149161982
1.03 0.854784211 0.145215789
1.04 0.858649947 0.141350053
1.05 0.862436106 0.137563894
1.06 0.866143587 0.133856413
1.07 0.869773297 0.130226703
1.08 0.873326158 0.126673842
1.09 0.876803102 0.123196898
1.1 0.88020507 0.11979493
1.11 0.883533012 0.116466988
1.12 0.88678789 0.11321211
1.13 0.88997067 0.11002933
1.14 0.893082328 0.106917672
1.15 0.896123843 0.103876157
1.16 0.899096203 0.100903797
1.17 0.902000399 0.097999601
1.18 0.904837427 0.095162573
1.19 0.907608286 0.092391714
1.2 0.910313978 0.089686022
1.21 0.912955508 0.087044492
1.22 0.915533881 0.084466119
1.23 0.918050104 0.081949896
1.24 0.920505184 0.079494816
1.25 0.922900128 0.077099872
1.26 0.925235942 0.074764058
1.27 0.927513629 0.072486371
1.28 0.929734193 0.070265807
1.29 0.931898633 0.068101367
1.3 0.934007945 0.065992055
1.31 0.936063123 0.063936877
1.32 0.938065155 0.061934845
1.33 0.940015026 0.059984974
1.34 0.941913715 0.058086285
1.35 0.943762196 0.056237804
1.36 0.945561437 0.054438563
1.37 0.947312398 0.052687602
1.38 0.949016035 0.050983965
1.39 0.950673296 0.049326704
1.4 0.95228512 0.04771488
1.41 0.953852439 0.046147561
1.42 0.955376179 0.044623821
1.43 0.956857253 0.043142747
1.44 0.95829657 0.04170343
1.45 0.959695026 0.040304974
1.46 0.96105351 0.03894649
1.47 0.9623729 0.0376271
1.48 0.963654065 0.036345935
1.49 0.964897865 0.035102135
1.5 0.966105146 0.033894854
1.51 0.967276748 0.032723252
1.52 0.968413497 0.031586503
1.53 0.969516209 0.030483791
1.54 0.97058569 0.02941431
1.55 0.971622733 0.028377267
1.56 0.972628122 0.027371878
1.57 0.973602627 0.026397373
1.58 0.974547009 0.025452991
1.59 0.975462016 0.024537984
1.6 0.976348383 0.023651617
1.61 0.977206837 0.022793163
1.62 0.978038088 0.021961912
1.63 0.97884284 0.02115716
1.64 0.97962178 0.02037822
1.65 0.980375585 0.019624415
1.66 0.981104921 0.018895079
1.67 0.981810442 0.018189558
1.68 0.982492787 0.017507213
1.69 0.983152587 0.016847413
1.7 0.983790459 0.016209541
1.71 0.984407008 0.015592992
1.72 0.985002827 0.014997173
1.73 0.9855785 0.0144215
1.74 0.986134595 0.013865405
1.75 0.986671671 0.013328329
1.76 0.987190275 0.012809725
1.77 0.987690942 0.012309058
1.78 0.988174196 0.011825804
1.79 0.988640549 0.011359451
1.8 0.989090502 0.010909498
1.81 0.989524545 0.010475455
1.82 0.989943156 0.010056844
1.83 0.990346805 0.009653195
1.84 0.990735948 0.009264052
1.85 0.99111103 0.00888897
1.86 0.991472488 0.008527512
1.87 0.991820748 0.008179252
1.88 0.992156223 0.007843777
1.89 0.992479318 0.007520682
1.9 0.992790429 0.007209571
1.91 0.99308994 0.00691006
1.92 0.993378225 0.006621775
1.93 0.99365565 0.00634435
1.94 0.993922571 0.006077429
1.95 0.994179334 0.005820666
1.96 0.994426275 0.005573725
1.97 0.994663725 0.005336275
1.98 0.994892 0.005108
1.99 0.995111413 0.004888587
2.0 0.995322265 0.004677735
2.01 0.995524849 0.004475151
2.02 0.995719451 0.004280549
2.03 0.995906348 0.004093652
2.04 0.99608581 0.00391419
2.05 0.996258096 0.003741904
2.06 0.996423462 0.003576538
2.07 0.996582153 0.003417847
2.08 0.996734409 0.003265591
2.09 0.996880461 0.003119539
2.1 0.997020533 0.002979467
2.11 0.997154845 0.002845155
2.12 0.997283607 0.002716393
2.13 0.997407023 0.002592977
2.14 0.997525293 0.002474707
2.15 0.997638607 0.002361393
2.16 0.997747152 0.002252848
2.17 0.997851108 0.002148892
2.18 0.997950649 0.002049351
2.19 0.998045943 0.001954057
2.2 0.998137154 0.001862846
2.21 0.998224438 0.001775562
2.22 0.998307948 0.001692052
2.23 0.998387832 0.001612168
2.24 0.998464231 0.001535769
2.25 0.998537283 0.001462717
2.26 0.998607121 0.001392879
2.27 0.998673872 0.001326128
2.28 0.998737661 0.001262339
2.29 0.998798606 0.001201394
2.3 0.998856823 0.001143177
2.31 0.998912423 0.001087577
2.32 0.998965513 0.001034487
2.33 0.999016195 0.000983805
2.34 0.99906457 0.00093543
2.35 0.999110733 0.000889267
2.36 0.999154777 0.000845223
2.37 0.99919679 0.00080321
2.38 0.999236858 0.000763142
2.39 0.999275064 0.000724936
2.4 0.999311486 0.000688514
2.41 0.999346202 0.000653798
2.42 0.999379283 0.000620717
2.43 0.999410802 0.000589198
2.44 0.999440826 0.000559174
2.45 0.99946942 0.00053058
2.46 0.999496646 0.000503354
2.47 0.999522566 0.000477434
2.48 0.999547236 0.000452764
2.49 0.999570712 0.000429288
2.5 0.999593048 0.000406952
2.51 0.999614295 0.000385705
2.52 0.999634501 0.000365499
2.53 0.999653714 0.000346286
2.54 0.999671979 0.000328021
2.55 0.99968934 0.00031066
2.56 0.999705837 0.000294163
2.57 0.999721511 0.000278489
2.58 0.9997364 0.0002636
2.59 0.999750539 0.000249461
2.6 0.999763966 0.000236034
2.61 0.999776711 0.000223289
2.62 0.999788809 0.000211191
2.63 0.999800289 0.000199711
2.64 0.999811181 0.000188819
2.65 0.999821512 0.000178488
2.66 0.999831311 0.000168689
2.67 0.999840601 0.000159399
2.68 0.999849409 0.000150591
2.69 0.999857757 0.000142243
2.7 0.999865667 0.000134333
2.71 0.999873162 0.000126838
2.72 0.999880261 0.000119739
2.73 0.999886985 0.000113015
2.74 0.999893351 0.000106649
2.75 0.999899378 0.000100622
2.76 0.999905082 9.4918e-05
2.77 0.99991048 8.952e-05
2.78 0.999915587 8.4413e-05
2.79 0.999920418 7.9582e-05
2.8 0.999924987 7.5013e-05
2.81 0.999929307 7.0693e-05
2.82 0.99993339 6.661e-05
2.83 0.99993725 6.275e-05
2.84 0.999940898 5.9102e-05
2.85 0.999944344 5.5656e-05
2.86 0.999947599 5.2401e-05
2.87 0.999950673 4.9327e-05
2.88 0.999953576 4.6424e-05
2.89 0.999956316 4.3684e-05
2.9 0.999958902 4.1098e-05
2.91 0.999961343 3.8657e-05
2.92 0.999963645 3.6355e-05
2.93 0.999965817 3.4183e-05
2.94 0.999967866 3.2134e-05
2.95 0.999969797 3.0203e-05
2.96 0.999971618 2.8382e-05
2.97 0.999973334 2.6666e-05
2.98 0.999974951 2.5049e-05
2.99 0.999976474 2.3526e-05
3.0 0.99997791 2.209E-05
3.01 0.999979261 2.0739e-05
3.02 0.999980534 1.9466e-05
3.03 0.999981732 1.8268e-05
3.04 0.999982859 1.7141e-05
3.05 0.99998392 1.608e-05
3.06 0.999984918 1.5082e-05
3.07 0.999985857 1.4143e-05
3.08 0.99998674 1.326e-05
3.09 0.999987571 1.2429e-05
3.1 0.999988351 1.1649e-05
3.11 0.999989085 1.0915e-05
3.12 0.999989774 1.0226e-05
3.13 0.999990422 9.578e-06
3.14 0.99999103 8.97e-06
3.15 0.999991602 8.398e-06
3.16 0.999992138 7.862e-06
3.17 0.999992642 7.358e-06
3.18 0.999993115 6.885e-06
3.19 0.999993558 6.442e-06
3.2 0.999993974 6.026e-06
3.21 0.999994365 5.635e-06
3.22 0.999994731 5.269e-06
3.23 0.999995074 4.926e-06
3.24 0.999995396 4.604e-06
3.25 0.999995697 4.303e-06
3.26 0.99999598 4.02e-06
3.27 0.999996245 3.755e-06
3.28 0.999996493 3.507e-06
3.29 0.999996725 3.275e-06
3.3 0.999996942 3.058e-06
3.31 0.999997146 2.854e-06
3.32 0.999997336 2.664e-06
3.33 0.999997515 2.485e-06
3.34 0.999997681 2.319e-06
3.35 0.999997838 2.162e-06
3.36 0.999997983 2.017e-06
3.37 0.99999812 1.88E-06
3.38 0.999998247 1.753e-06
3.39 0.999998367 1.633e-06
3.4 0.999998478 1.522E-06
3.41 0.999998582 1.418e-06
3.42 0.999998679 1.321e-06
3.43 0.99999877 1.23E-06
3.44 0.999998855 1.145e-06
3.45 0.999998934 1.066e-06
3.46 0.999999008 9.92e-07
3.47 0.999999077 9.23e-07
3.48 0.999999141 8.59e-07
3.49 0.999999201 7.99e-07
3.5 0.999999257 7.43e-07

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"誤差函數計算機" at https://miniwebtool.com/zh-tw/error-function-calculator/ from miniwebtool, https://miniwebtool.com/

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互補誤差函數計算機