erf

---
description: Guidelines for erf
globs: **/*
---


 Usage

Computes the error function for real arguments. The erf
function takes only a single argument

    y = erf(x)

where x is either a float or double array. The output vector
y is the same size (and type) as x.


 Internals

The erf function is defined by the integral:
 \[ \mathrm{erf}(x) = \frac{2}{\sqrt{\pi}}\int_{0}^{x} e^{-
t^2} \, dt, \]
and is the integral of the normal distribution.


 Example

Here is a plot of the erf function over the range [-5,5].

  --> x = linspace(-5,5);
  --> y = erf(x);
  --> plot(x,y); xlabel('x'); ylabel('erf(x)');

which results in the following plot.
 erf1.png

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* Mathematical_Functions
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