mars.tensor.special.
erf
Returns the error function of complex argument.
It is defined as 2/sqrt(pi)*integral(exp(-t**2), t=0..z).
2/sqrt(pi)*integral(exp(-t**2), t=0..z)
x (Tensor) – Input tensor.
res – The values of the error function at the given points x.
Tensor
参见
erfc, erfinv, erfcinv, wofz, erfcx, erfi
erfc
erfinv
erfcinv
wofz
erfcx
erfi
提示
The cumulative of the unit normal distribution is given by Phi(z) = 1/2[1 + erf(z/sqrt(2))].
Phi(z) = 1/2[1 + erf(z/sqrt(2))]
引用
https://en.wikipedia.org/wiki/Error_function
Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972. http://www.math.sfu.ca/~cbm/aands/page_297.htm
Steven G. Johnson, Faddeeva W function implementation. http://ab-initio.mit.edu/Faddeeva
实际案例
>>> import mars.tensor as mt >>> from mars.tensor import special >>> import matplotlib.pyplot as plt >>> x = mt.linspace(-3, 3) >>> plt.plot(x, special.erf(x)) >>> plt.xlabel('$x$') >>> plt.ylabel('$erf(x)$') >>> plt.show()