Difference between revisions of "Manuals/calci/ERFC"

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<div style="font-size:30px">'''ERFC(x)'''</div><br/>
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<div style="font-size:30px">'''ERFC(a,accuracy)'''</div><br/>
*<math>x</math> is the lower limit.
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*<math>a</math> is the lower limit.
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*<math>accuracy</math> gives the accurate value of the solution.
  
 
==Description==
 
==Description==
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*ERFC is defined by:
 
*ERFC is defined by:
 
<math>ERFC(x)=\frac{2}{\sqrt{\pi}}\int\limits_{x}^{\infty}e^{-t^2} dt=1-ERF(x)</math>.
 
<math>ERFC(x)=\frac{2}{\sqrt{\pi}}\int\limits_{x}^{\infty}e^{-t^2} dt=1-ERF(x)</math>.
*This function will return the result as error when x is nonnumeric or negative.
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*This function will return the result as error when a is nonnumeric or negative.
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==ZOS Section==
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*The syntax is to calculate complementary error function in ZOS is <math>ERFC(a,accuracy)</math>.
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**<math>a</math> is the lower limit.
 +
**<math>accuracy</math> gives the accurate value of the solution.
 +
*For e.g.,erfc(10),erfc(10,0.01)
  
 
==Examples==
 
==Examples==

Revision as of 03:51, 3 July 2014

ERFC(a,accuracy)


  • is the lower limit.
  • 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:

.

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

ZOS Section

  • The syntax is to calculate complementary error function in ZOS is .
    • is the lower limit.
    • 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

See Also

References

Error Function