scipy.special.erf — SciPy v1.15.2 Manual (original) (raw)

scipy.special.erf(z, out=None) = <ufunc 'erf'>#

Returns the error function of complex argument.

It is defined as 2/sqrt(pi)*integral(exp(-t**2), t=0..z).

Parameters:

xndarray

Input array.

outndarray, optional

Optional output array for the function values

Returns:

resscalar or ndarray

The values of the error function at the given points x.

Notes

The cumulative of the unit normal distribution is given byPhi(z) = 1/2[1 + erf(z/sqrt(2))].

References

Examples

import numpy as np from scipy import special import matplotlib.pyplot as plt x = np.linspace(-3, 3) plt.plot(x, special.erf(x)) plt.xlabel('$x$') plt.ylabel('$erf(x)$') plt.show()