mars.tensor.special.erf#
- mars.tensor.special.erf(x, out=None, where=None, **kwargs)[源代码]#
Returns the error function of complex argument.
It is defined as
2/sqrt(pi)*integral(exp(-t**2), t=0..z)
.- 参数
x (Tensor) – Input tensor.
- 返回
res – The values of the error function at the given points x.
- 返回类型
Tensor
参见
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))]
.引用
- 1
- 2
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
- 3
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()