Manuals/calci/ERFC

Revision as of 04:28, 26 December 2013 by Abin (talk | contribs) (→‎References)
ERFC(x)


  • 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 x} is the lower limit.

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 x is nonnumeric or negative.

Examples

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

See Also

References

Error Function