Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > Error and Exponential Integral Functions > InverseErfc >
BUILT-IN MATHEMATICA SYMBOLTutorials »|See Also »|More About »

InverseErfc

InverseErfc[s]
gives the inverse complementary error function obtained as the solution for z in .
MORE INFORMATION
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit numerical values are given only for real values of s between 0 and 2.
  • For certain special arguments, InverseErfc automatically evaluates to exact values.
  • InverseErfc can be evaluated to arbitrary numerical precision.
EXAMPLESCLOSE ALL
Basic Examples   (2)
Evaluate numerically:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Scope   (4)
Exact results for special arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Series expansion:
TraditionalForm formatting:
Generalizations & Extensions   (1)
InverseErfc threads element-wise over lists and arrays:
Applications   (1)
Generate Gaussian-distributed random numbers:
Properties & Relations   (4)
Solve a transcendental equation:
Numerically find a root of a transcendental equation:
Compose with the inverse function:
Use PowerExpand to disregard multivaluedness of the inverse function:
InverseErfc is a numeric function:
Possible Issues   (1)
InverseErfc evaluates numerically only for :
Neat Examples   (1)
Riemann surface of InverseErfc:
New in 3
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF