The error and complementary error functions occur, for example, in solutions of the heat equation when boundary conditions are given by the Heaviside step function. The error function and its …

The relationship between the error function Erf (x) and the cumulative probability of normeal distribution is presented.

erf (z) is the "error function" encountered in integrating the normal distribution (which is a normalized form of the Gaussian function). It is an entire function defined by erf (z)=2/ (sqrt (pi))int_0^ze^ (-t^2)dt.

Our error function calculator can determine the values of the error function, complementary error function, inverse error function, and inverse complementary error function.

More specifically, the error function gives us the probability that a normally distributed random variable, with mean 0 and standard deviation 1√2, will fall into the range [-x, x]. The erf is a special function …

ERF calculator and ERFC calculator, with inverse function support. Calculate the Gauss error function, the inverse and complementary error function of any real-valued number with high precision.

The error function and the complementary error function are important special functions which appear in the solutions of di usion problems in heat, mass and momentum transfer, probability theory, the …

Aug 16, 2025 · The error function, written as erf (x), was introduced as a special function that solves the integral. It also turns out that the error function can also be used to solve other, general integrals that …

This MATLAB function returns the Error Function evaluated for each element of x.

If you're going the Taylor series route, the best series to use is formula 7.1.6 in Abramowitz and Stegun. It is not as prone to subtractive cancellation as the series derived from integrating the power series …