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InverseErf

InverseErf[s]
gives the inverse error function obtained as the solution for z in .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit numerical values are given only for real values of s between and .
  • InverseErf gives the inverse of the generalized error function Erf.
  • For certain special arguments, InverseErf automatically evaluates to exact values.
  • InverseErf can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Exact results for special arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Series expansion:
TraditionalForm formatting:
InverseErf threads element-wise over lists and arrays:
Evaluate numerically:
Series expansion:
Generate Gaussian-distributed random numbers:
The number of standard deviations for a 99% confidence interval in the Gaussian distribution:
Solve a transcendental equation:
Numerically find a root of a transcendental equation:
Obtain InverseErf as the solution of a differential equation:
Compose with the inverse function:
InverseErf is a numeric function:
In TraditionalForm, is automatically interpreted as an inverse error function:
InverseErf evaluates numerically only for :
Riemann surface of InverseErf:
New in 3