# Inverse error function Calculator

## Calculates the inverse error function erf -1(y) and inverse complementary error function erfc -1(y).

 y 0≦y≦1
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 $\normal Error\ function\ erf(x)\ and\\\ complementary\ error\ function\ erfc(x)\\[10](1)\ erf(x)={\large\frac{2}{\sqrt\pi}}{\large\int_{\small 0}^ {\hspace{25}\small x}}e^{-t^2}dt\\\hspace{25}erfc(x)={\large\frac{2}{\sqrt\pi}}{\large\int_{\small x}^ {\hspace{25}\small\infty}}e^{-t^2}dt\\[10](2)\ erf(x)+erfc(x)=1\\$
Inverse error function
 [1-10] /15 Disp-Num5103050100200
[1]  2018/06/21 02:17   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Finding the inverse erf for a probability rejection rate problem with the z-distribution.
[2]  2018/04/17 09:51   Male / 20 years old level / An engineer / Very /
Purpose of use
Semi-infinite solid heat transfer calculations for 1D conduction with known surface temperature
Comment/Request
Accurate erf inverse calc, eliminated time consuming steps of computations
[3]  2016/12/11 17:57   Male / 30 years old level / A teacher / A researcher / Useful /
Purpose of use
mention the relation ship between erfc-1 and erf
[4]  2015/04/02 02:43   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Materials science course - use with Fick's Second Law to calculate the diffusion coefficient for diffusion processes.
[5]  2014/10/05 09:07   Male / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
learning to work with the function
[6]  2014/05/18 13:59   Male / 40 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Checking accuracy of approximation. (Integral of Maxwell-Boltzmann dist to find Jeans Escape)
Comment/Request
Found the approx I was using is not sufficiently accurate. Any chance of some approx. accurate between z = 0 to 20 or so?
[7]  2013/08/22 03:08   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
Inversion of the Glover and Balmer (1954) equation for stream depletion
[8]  2013/06/07 18:36   Male / 40 years old level / Others / Very /
Purpose of use
Compare results with my own implementation
[9]  2013/06/05 19:10   Male / 30 years old level / An office worker / A public employee / A little /
Purpose of use
Calculating diffusion rates of chlorides in concrete
Comment/Request
Useful - thanks
[10]  2013/05/22 09:29   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
CDF of normal distributions.

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