Erf
Definition:
The erf(x) function is the error function (or normal error integral). The function has the limiting values erf(0) = 0, and erf( ∞) = 1. Mathematically:
/math-3709b8a61e3475252f60a1c9d882bad0.png "\mathrm{erf}(x)=\frac{2}{\sqrt\pi}\int_{0}^{x}e^{-u^2}du")
Note that erf(-x) = -erf(x) is an odd function of x and erf(x) = 2*(Normal Distribution Function evaluated at /math-f5803dc88ec950413c6348fc2cd67b07.png "x\sqrt2")
) - 1, where the Normal Distribution Function is:
/math-3f66a9be46bd1cdda9edbb0f88d8c797.png "\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{x}e^{-\frac{t^2}{2}}dt")
Parameters:
- x
- the upper limit of integration