Normal Error Function Table
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the error function is a special function (non-elementary) of sigmoid shape which occurs in probability, statistics and partial error function table pdf differential equations. It is also called the Gauss error function or probability integral. The error function is defined as: 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 increment of 0.01. xerf(x)erfc(x)0.00.01.00.010.0112834160.9887165840.020.0225645750.9774354250.030.0338412220.9661587780.040.0451111060.9548888940.050.0563719780.9436280220.060.0676215940.9323784060.070.078857720.921142280.080.0900781260.9099218740.090.1012805940.8987194060.10.1124629160.8875370840.110.1236228960.8763771040.120.1347583520.8652416480.130.1458671150.8541328850.140.1569470330.8430529670.150.1679959710.8320040290.160.1790118130.8209881870.170.1899924610.8100075390.180.2009358390.7990641610.190.2118398920.7881601080.20.2227025890.7772974110.210.2335219230.7664780770.220.2442959120.7557040880.230.25502260.74497740.240.2657000590.7342999410.250.276326390.723673610.260.2868997230.7131002770.270.2974182190.7025817810.280.3078800680.6921199320.290.3182834960.6817165040.30.3286267590.6713732410.310.338908150.661091850.320.3491259950.6508740050.330.3592786550.6407213450.340.3693645290.6306354710.350.3793820540.6206179460.360.3893297010.6106702990.370.3992059840.6007940160.380.4090094530.5909905470.390.41873870.58126130.40.4283923550.5716076450.410.437969090.562030910.420.4474676180.5525323820.430.4568866950.5431133050.440.4662251150.5337748850.450.475481720.524518280.460.484655390.515344610.470.4937450510.5062549490.480.5027496710.4972503290.490.5116682610.4883317390.50.5204998780.4795001220.510.529243620.470756380.520.537898630.462101370.530.5464640970.4535359030.540.554939250.445060750.550.5633233660.4366766340.560.5716157640.4283842360.570.5798158060.4201841940.580.58792290.41207710.590.5959364970.4040635030.60.6038560910.3961439090.610.6116812190.3883187810.620.6194114620.3805885380.630.6270464430.3729535570.640.6345858290.3654141710.650.6420293270.3579706730.660.6493766880.3506233120.670.6566277020.3433722980.680.6637822030.3362177970.690.6708400620.3291599380.70.6778011940.3221988060.710.684665550.315334450.720.6914331230.3085668770.730.6981039430.3018960570.740.7046780780.2953219220.750.7111556340.2888443660.760.7175367530.2824632470.770.7238216140.2761783860.780.7300104310.2699895690.790.7361034540.2638965460.80.7421009650.2578990350.810.7480032810.2519967190.820.7538107510.2461892490.830.7595237570.2404762430.840.7651427110.2348572890.850.7706680580.2293319420.860.7761002680.2238997320.870.7814398
Function Calculator Erf(x) Error Function Calculator erf(x) x = Form accepts both decimals and fractions. The error function, denoted erf, is defined error function table diffusion by the integral erf(x) = (2/√π)∫xo e-t2 dt. Erf(x) is
Tabulation Of Error Function Values
closely related to the normal probability curve; the cumulative distribution function of a normally distributed
Complementary Error Function Calculator
random variable X is CDF(X) = 0.5 + 0.5erf[(X-)/σ√2], where is the mean and σ is the standard deviation of the distribution. The error function http://www.miniwebtool.com/error-function-calculator/ integral cannot be evaluated in terms of elemetary function, so one must use numerical algorithms. The error function is an odd function whose limit is -1 for negative values of x, and 1 for positive values of x. The function rapidly converges to its asympotic values; erf(3) = 0.99998 and erf(-3) http://www.had2know.com/academics/error-function-calculator-erf.html = -0.99998. Properties and Equations The values of x for which x = erf(x) are approximately 0.6175 and -0.6175. If you don't have access to an error function calculator such as the one above, you can approximate the function with the formula The error function can also be expressed with infinite series and continued fractions: You can approximate the inverse of the error function, erf-1(x), by inverting the approximation formula above. The inverse of erf has several interesting derivative and integral properties. © Had2Know 2010 How to Find the Great Circle Distance Between Two Points on a Sphere Gamma & Log Gamma Function Calculator Beta Function Calculator Weibull Distribution Calculator Digamma Function Calculator How to Test Whether Data is Normally Distributed How to Compute Normal Distribution Probabilities How to Read a Z-Score Table to Compute Probability Terms of Use | Privacy Policy | Contact Site Design by E. Emerson © 2010
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