# Error function Calculator

## Calculates the error function erf(x) and complementary error function erfc(x).

 x real number 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Error\ function\ erf(x)\ and\\\ complementary\ error\ function\ erfc(x)\\[10](1)\ erf(x)={\large\frac{2}{\sqrt\pi}}{\large\int_{\small 0}^ {\hspace{25}\small x}}e^{-t^2}dt\\\hspace{25}erfc(x)={\large\frac{2}{\sqrt\pi}}{\large\int_{\small x}^ {\hspace{25}\small\infty}}e^{-t^2}dt\\[10](2)\ erf(x)+erfc(x)=1\\$

Error function
 [1-10] /16 Disp-Num5103050100200
[1]  2017/09/23 12:11   Male / 40 years old level / An engineer / Useful /
Purpose of use
error investigastion
Comment/Request
What is this value "t" in this function.? I didn''t find any explanation anywhere
[2]  2017/08/18 01:45   Male / 50 years old level / An engineer / Useful /
Purpose of use
For a side problem in nonlinear curve fitting. I didn''t feel like using Excel
[3]  2016/05/19 13:56   Male / 20 years old level / High-school/ University/ Grad student / - /
Purpose of use
Comment/Request
huh, i was using this to check an assignment using a taylor series approximation and i think i found a misprint in my textbook's function when i checked it against this and another source's taylor series approximation
[4]  2015/06/11 04:14   Female / 40 years old level / An engineer / Useful /
Purpose of use
I wanted to verify that I was using the Excel "erf.precision" function correctly, so I used this website to cross-check the Excel result.
[5]  2015/06/02 18:10   Male / 20 years old level / An engineer / Very /
Purpose of use
Use to check my own error function calculator. Amassed to see almost the same results.
Slight differences after 6 decimal, which i want to believe aren't a big deal.
Comment/Request
I would also want to know the exact formulas used.... especially for numbers greater than 5.
[6]  2014/12/09 06:27   Female / 20 years old level / High-school/ University/ Grad student / Very /
Comment/Request
hello
I want to ask about error function how I can find the error function if it was mulitiyplay by value like erf(tX)
and thank you very much
[7]  2014/10/14 10:49   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
homework
Comment/Request
nice 10/10
[8]  2014/05/18 09:32   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Created a rational approximation method like the Abramowitz & Stegun with 13 terms which I think is good to 10**(-12). Checked it against brute force computations using power or asymptotic series. The brute force method, which is very fast by the way, (up to 600 terms) checked favorably with your computations. Could use a long table to verify the rational approximation accuracy.
[9]  2014/03/12 03:40   Male / 20 years old level / An engineer / Very /
Purpose of use
working with distribution function
[10]  2014/03/07 04:23   Male / 60 years old level or over / A teacher / A researcher / A little /
Purpose of use
useful in calculating thermodynamics of superfluid helium

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