Manuals/calci/ERFC

ERFC(a,accuracy)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is the lower limit.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle accuracy} gives the accurate value of the solution.

Description

• This function gives the complementary ERF function.
• The complementary error function is the error function with the limit x and infinity. It is denoted by erfc(x).
• It is also called scaled complementary error function.
• ERFC is defined by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ERFC(x)=\frac{2}{\sqrt{\pi}}\int\limits_{x}^{\infty}e^{-t^2} dt=1-ERF(x)} .

• This function will return the result as error when a is nonnumeric or negative.

ZOS

• The syntax is to calculate complementary error function in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ERFC(a,accuracy)} .
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is the lower limit.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle accuracy} gives the accurate value of the solution.
• For e.g.,erfc(10),erfc(10,0.01)

Examples

1. ERFC(3)=0.0000219610
2. ERFC(2)=0.00467776242
3. ERFC(0)=1
4. ERFC(-2)=NAN

Related Videos

Complimentary Error Function

See Also

• ERF

References

Error Function

• List of Main Z Functions

• Z3 home