The complementary error function is defined by
| erfc(x)= | 
 | ∫ | 
 | e−t2dt=1−erf(x). | 
Hence erfc(0)=1, since
| ∫ | 
 | e−t2dt= | 
 | . | 
The erfc command computes the complementary error function.
| erfc(1) | 
| 
 | 
| 1-erfc(1/(sqrt(2)))*0.5 | 
| 
 | 
The relation between erfc and normal_cdf (see Section 20.4.7) is:
| normal_cdf(x) =1− | 
 | erfc | ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ | 
 | ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ | . |